Documentation
SSA.Core.EDSLNested
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def
+
+
\ No newline at end of file
diff --git a/SSA/Core/Framework.html b/SSA/Core/Framework.html
index 42952427b..a003be716 100644
--- a/SSA/Core/Framework.html
+++ b/SSA/Core/Framework.html
@@ -1,37 +1,37 @@
SSA.Core.Framework
-
+
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- EDSL2.dsl_var2 = Lean.ParserDescr.nodeWithAntiquot "dsl_var2" `EDSL2.dsl_var2 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "%v") (Lean.ParserDescr.const `num))
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- EDSL2.dsl_expr2_ = Lean.ParserDescr.node `EDSL2.dsl_expr2_ 1022 EDSL2.dsl_var2
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- EDSL2.«dsl_expr2()» = Lean.ParserDescr.node `EDSL2.dsl_expr2() 1024 (Lean.ParserDescr.symbol "()")
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def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "%v") (Lean.ParserDescr.const `num))
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- EDSL2.dsl_expr2_ = Lean.ParserDescr.node `EDSL2.dsl_expr2_ 1022 EDSL2.dsl_var2
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- EDSL2.«dsl_expr2()» = Lean.ParserDescr.node `EDSL2.dsl_expr2() 1024 (Lean.ParserDescr.symbol "()")
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- EDSL2.«dsl_stmt2_;» = Lean.ParserDescr.node `EDSL2.dsl_stmt2_; 1022 - (Lean.ParserDescr.sepBy EDSL2.dsl_assign2 "" (Lean.ParserDescr.symbol ""))
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- User: ℕ → EDSL2.ElabVar
- Synthetic: ℕ → EDSL2.ElabVar
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- EDSL2.instInhabitedElabVar = { default := EDSL2.ElabVar.User default }
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- EDSL2.instToStringElabVar = { toString := EDSL2.ElabVar.toString }
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- User: ℕ → EDSL2.ElabVar
- Synthetic: ℕ → EDSL2.ElabVar
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- EDSL2.instInhabitedElabVar = { default := EDSL2.ElabVar.User default }
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- EDSL2.instToStringElabVar = { toString := EDSL2.ElabVar.toString }
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- EDSL2.ElabVar.toNat x = match x with | EDSL2.ElabVar.User n => n - | EDSL2.ElabVar.Synthetic n => n
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- EDSL2.ElabVar.quoteAsNat var = Lean.quote `term (EDSL2.ElabVar.toNat var)
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- EDSL2.ElabVar.quoteAsNat var = Lean.quote `term (EDSL2.ElabVar.toNat var)
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@[inline]
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- EDSL2.SSAElabContext.addVar var = modify fun ctx => { vars := Array.push ctx.vars var }
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- EDSL2.SSAElabContext.addVar var = modify fun ctx => { vars := Array.push ctx.vars var }
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extract out the index (nat) of the dsl_var
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convert a de-bruijn into a intrinsically well typed context variable
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extract out the index (nat) of the dsl_var
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convert a de-bruijn into a intrinsically well typed context variable
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- appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term)
- val : α
A statement builder that can be filled with a statement.
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instance
-EDSL2.instInhabitedStmtBuilder :
{a : Type} → [inst : Inhabited a] → Inhabited (EDSL2.StmtBuilder a)
Equations
- EDSL2.instInhabitedStmtBuilder = { default := { appendk := default, val := default } }
- appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term)
- val : α
A statement builder that can be filled with a statement.
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instance
+EDSL2.instInhabitedStmtBuilder :
{a : Type} → [inst : Inhabited a] → Inhabited (EDSL2.StmtBuilder a)
Equations
- EDSL2.instInhabitedStmtBuilder = { default := { appendk := default, val := default } }
def
EDSL2.StmtBuilder.prepend
{β : Type}
@@ -67,7 +67,7 @@
appendk := fun x => do
let __do_lift ← EDSL2.StmtBuilder.appendk right x
EDSL2.StmtBuilder.appendk left __do_lift,
- val := left.val }
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def
+ val := left.val }
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def
EDSL2.StmtBuilder.append
{α : Type}
@@ -80,7 +80,7 @@
appendk := fun x => do
let __do_lift ← EDSL2.StmtBuilder.appendk right x
EDSL2.StmtBuilder.appendk left __do_lift,
- val := right.val }
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def
+ val := right.val }
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def
EDSL2.StmtBuilder.appendHole
{α : Type}
@@ -91,7 +91,7 @@
appendk := fun x => do
let __do_lift ← appendk x
EDSL2.StmtBuilder.appendk e __do_lift,
- val := e.val }
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def
+ val := e.val }
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def
EDSL2.StmtBuilder.prependHole
{α : Type}
@@ -102,7 +102,7 @@
appendk := fun x => do
let __do_lift ← EDSL2.StmtBuilder.appendk right x
leftHole __do_lift,
- val := right.val }
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def
+ val := right.val }
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def
EDSL2.StmtBuilder.setVal
{α : Type}
@@ -111,32 +111,32 @@
(e : EDSL2.StmtBuilder α)
(val : β)
- :
Set the value stored in the StmtBuilder
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- EDSL2.StmtBuilder.setVal e val = { appendk := e.appendk, val := val }
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Set the value stored in the StmtBuilder
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- EDSL2.StmtBuilder.setVal e val = { appendk := e.appendk, val := val }
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Builder a StmtBuilder from a raw value
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- EDSL2.StmtBuilder.ofVal val = { appendk := fun x => pure x, val := val }
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Builder a StmtBuilder from a raw value
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- EDSL2.StmtBuilder.ofVal val = { appendk := fun x => pure x, val := val }
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Build an assignment to store e.
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Build an assignment to store e.
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partial def
EDSL2.elabAssign
(restBuilderM : EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar))
- :
Lean.TSyntax `EDSL2.dsl_assign2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
Given the rest of the statements that are to be built, build them
Given the rest of the statements that are to be built, build them
partial def
EDSL2.elabStmt
(rest : EDSL2.StmtBuilder EDSL2.ElabVar)
- :
Lean.TSyntax `dsl_stmt2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
partial def
EDSL2.elabStmt.go
(rest : EDSL2.StmtBuilder EDSL2.ElabVar)
- :
List (Lean.TSyntax `EDSL2.dsl_assign2) → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
partial def
-EDSL2.elabStxExpr :
Lean.TSyntax `dsl_expr2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
insert intermediate let bindings to produce
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partial def
+EDSL2.elabStxExpr :
Lean.TSyntax `dsl_expr2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
insert intermediate let bindings to produce
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Documentation
SSA.Core.Framework
@[inline]
+ Equations
- SSA.instDecidableEqVar = inferInstance
- STMT: SSA.SSAIndex
- EXPR: SSA.SSAIndex
Ways of making an RHS
- TERMINATOR: SSA.SSAIndex
The final instruction in a region. Must be a return
- REGION: SSA.SSAIndex
a lambda
Us mucking around to avoid mutual inductives.
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Equations
- SSA.instDecidableEqVar = inferInstance
- STMT: SSA.SSAIndex
- EXPR: SSA.SSAIndex
Ways of making an RHS
- TERMINATOR: SSA.SSAIndex
The final instruction in a region. Must be a return
- REGION: SSA.SSAIndex
a lambda
Us mucking around to avoid mutual inductives.
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- assign: {Op : Type} → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR → SSA.SSA Op SSA.SSAIndex.STMT → SSA.SSA Op SSA.SSAIndex.STMT
lhs := rhs; rest of the program
- nop: {Op : Type} → SSA.SSA Op SSA.SSAIndex.STMT
no operation.
- ret: {Op : Type} → SSA.SSA Op SSA.SSAIndex.STMT → SSA.Var → SSA.SSA Op SSA.SSAIndex.TERMINATOR
above; ret v
- unit: {Op : Type} → SSA.SSA Op SSA.SSAIndex.EXPR
()
- pair: {Op : Type} → SSA.Var → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR
(fst, snd)
- triple: {Op : Type} → SSA.Var → SSA.Var → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR
(fst, snd, third)
- op: {Op : Type} → Op → SSA.Var → SSA.SSA Op SSA.SSAIndex.REGION → SSA.SSA Op SSA.SSAIndex.EXPR
op (arg) { rgn } rgn is an argument to the operation
- rgn: {Op : Type} → SSA.Var → SSA.SSA Op SSA.SSAIndex.TERMINATOR → SSA.SSA Op SSA.SSAIndex.REGION
- rgn0: {Op : Type} → SSA.SSA Op SSA.SSAIndex.REGION
- rgnvar: {Op : Type} → SSA.RegionVar → SSA.SSA Op SSA.SSAIndex.REGION
- var: {Op : Type} → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR
a variable.
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- assign: {Op : Type} → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR → SSA.SSA Op SSA.SSAIndex.STMT → SSA.SSA Op SSA.SSAIndex.STMT
lhs := rhs; rest of the program
- nop: {Op : Type} → SSA.SSA Op SSA.SSAIndex.STMT
no operation.
- ret: {Op : Type} → SSA.SSA Op SSA.SSAIndex.STMT → SSA.Var → SSA.SSA Op SSA.SSAIndex.TERMINATOR
above; ret v
- unit: {Op : Type} → SSA.SSA Op SSA.SSAIndex.EXPR
()
- pair: {Op : Type} → SSA.Var → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR
(fst, snd)
- triple: {Op : Type} → SSA.Var → SSA.Var → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR
(fst, snd, third)
- op: {Op : Type} → Op → SSA.Var → SSA.SSA Op SSA.SSAIndex.REGION → SSA.SSA Op SSA.SSAIndex.EXPR
op (arg) { rgn } rgn is an argument to the operation
- rgn: {Op : Type} → SSA.Var → SSA.SSA Op SSA.SSAIndex.TERMINATOR → SSA.SSA Op SSA.SSAIndex.REGION
- rgn0: {Op : Type} → SSA.SSA Op SSA.SSAIndex.REGION
- rgnvar: {Op : Type} → SSA.RegionVar → SSA.SSA Op SSA.SSAIndex.REGION
- var: {Op : Type} → SSA.Var → SSA.SSA Op SSA.SSAIndex.EXPR
a variable.
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Equations
- SSA.Env.empty x = default
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instance
SSA.instEmptyCollectionEnv
{Val : Type}
[inst : Inhabited Val]
- :
EmptyCollection (SSA.Env Val)
Equations
- SSA.instEmptyCollectionEnv = { emptyCollection := SSA.Env.empty }
Equations
- SSA.instEmptyCollectionEnv = { emptyCollection := SSA.Env.empty }
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- eval : Op → Val → (Val → Val) → Val
Opis semantically a functionVal → (Val → Val) → Valfor every operation, produce a resultValgiven the input variable value (⟦val⟧ : Val) -and input region value (⟦rgn⟧ : Val → Val) - valUnit : Val
Okay Yuck
- valPair : Val → Val → Val
- valTriple : Val → Val → Val → Val
Instances
def
+and input region value (⟦rgn⟧ : Val → Val)
valUnit : Val
Okay Yuck
valPair : Val → Val → Val
valTriple : Val → Val → Val → Val
Instances
Equations
- SSA.SSAIndex.eval Val x = match x with | SSA.SSAIndex.STMT => SSA.Env Val | SSA.SSAIndex.TERMINATOR => Val | SSA.SSAIndex.EXPR => Val - | SSA.SSAIndex.REGION => Val → Val
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def
SSA.SSA.eval
{Val : Type}
@@ -75,12 +75,12 @@
(e : SSA.Env Val)
(re : SSA.Env (Val → Val))
- :
SSA.SSA Op k → SSA.SSAIndex.eval Val k
Equations
- SSA.SSA.eval e re (SSA.SSA.assign lhs rhs rest) = SSA.SSA.eval (e[lhs := SSA.SSA.eval e re rhs]) re rest
- SSA.SSA.eval e re SSA.SSA.nop = e
- SSA.SSA.eval e re SSA.SSA.unit = SSA.UserSemantics.valUnit Op
- SSA.SSA.eval e re (SSA.SSA.ret above v) = SSA.SSA.eval Val Op SSA.SSAIndex.STMT inst S e re above v
- SSA.SSA.eval e re (SSA.SSA.pair fst snd) = SSA.UserSemantics.valPair Op (e fst) (e snd)
- SSA.SSA.eval e re (SSA.SSA.triple fst snd third) = SSA.UserSemantics.valTriple Op (e fst) (e snd) (e third)
- SSA.SSA.eval e re (SSA.SSA.op o arg r) = SSA.UserSemantics.eval o (e arg) (SSA.SSA.eval SSA.Env.empty re r)
- SSA.SSA.eval e re (SSA.SSA.var v) = e v
- SSA.SSA.eval e re (SSA.SSA.rgnvar v) = re v
- SSA.SSA.eval e re SSA.SSA.rgn0 = id
- SSA.SSA.eval e re (SSA.SSA.rgn arg body) = fun val => SSA.SSA.eval (e[arg := val]) re body
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Equations
- SSA.SSA.eval e re (SSA.SSA.assign lhs rhs rest) = SSA.SSA.eval (e[lhs := SSA.SSA.eval e re rhs]) re rest
- SSA.SSA.eval e re SSA.SSA.nop = e
- SSA.SSA.eval e re SSA.SSA.unit = SSA.UserSemantics.valUnit Op
- SSA.SSA.eval e re (SSA.SSA.ret above v) = SSA.SSA.eval Val Op SSA.SSAIndex.STMT inst S e re above v
- SSA.SSA.eval e re (SSA.SSA.pair fst snd) = SSA.UserSemantics.valPair Op (e fst) (e snd)
- SSA.SSA.eval e re (SSA.SSA.triple fst snd third) = SSA.UserSemantics.valTriple Op (e fst) (e snd) (e third)
- SSA.SSA.eval e re (SSA.SSA.op o arg r) = SSA.UserSemantics.eval o (e arg) (SSA.SSA.eval SSA.Env.empty re r)
- SSA.SSA.eval e re (SSA.SSA.var v) = e v
- SSA.SSA.eval e re (SSA.SSA.rgnvar v) = re v
- SSA.SSA.eval e re SSA.SSA.rgn0 = id
- SSA.SSA.eval e re (SSA.SSA.rgn arg body) = fun val => SSA.SSA.eval (e[arg := val]) re body
Instances For
def
SSA.Tree.eval
{Val : Type}
diff --git a/SSA/Core/Tactic.html b/SSA/Core/Tactic.html
index 484c02548..a1746d220 100644
--- a/SSA/Core/Tactic.html
+++ b/SSA/Core/Tactic.html
@@ -1,5 +1,5 @@
SSA.Core.Tactic
-
Documentation
SSA.Core.Tactic
def
+
+
\ No newline at end of file
diff --git a/SSA/Core/Util.html b/SSA/Core/Util.html
index 702740061..e95dbb700 100644
--- a/SSA/Core/Util.html
+++ b/SSA/Core/Util.html
@@ -1,6 +1,6 @@
SSA.Core.Util
-
Equations
- tacticSimp_mlir = Lean.ParserDescr.node `tacticSimp_mlir 1024 (Lean.ParserDescr.nonReservedSymbol "simp_mlir" false)
Instances For
Documentation
SSA.Core.Util
def
+
+
\ No newline at end of file
diff --git a/SSA/Core/WellTypedFramework.html b/SSA/Core/WellTypedFramework.html
index 4e8e9f5c8..68537cc0d 100644
--- a/SSA/Core/WellTypedFramework.html
+++ b/SSA/Core/WellTypedFramework.html
@@ -1,60 +1,60 @@
SSA.Core.WellTypedFramework
-
def
+ f fst snd
Instances For
- nil: {α : Type u} → LengthIndexedList α 0
- cons: {α : Type u} → {n : ℕ} → α → LengthIndexedList α n → LengthIndexedList α (n + 1)
Instances For
instance
-instReprLengthIndexedList :
{α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
Equations
- instReprLengthIndexedList = { reprPrec := reprLengthIndexedList✝ }
instance
-instDecidableEqLengthIndexedList :
{α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
Equations
- instDecidableEqLengthIndexedList = decEqLengthIndexedList✝
- nil: {α : Type u} → LengthIndexedList α 0
- cons: {α : Type u} → {n : ℕ} → α → LengthIndexedList α n → LengthIndexedList α (n + 1)
Instances For
instance
+instReprLengthIndexedList :
{α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
Equations
- instReprLengthIndexedList = { reprPrec := reprLengthIndexedList✝ }
instance
+instDecidableEqLengthIndexedList :
{α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
Equations
- instDecidableEqLengthIndexedList = decEqLengthIndexedList✝
Equations
- LengthIndexedList.fromList [] = LengthIndexedList.nil
- LengthIndexedList.fromList (x :: xs) = LengthIndexedList.cons x (LengthIndexedList.fromList xs)
Instances For
Equations
- LengthIndexedList.fromList [] = LengthIndexedList.nil
- LengthIndexedList.fromList (x :: xs) = LengthIndexedList.cons x (LengthIndexedList.fromList xs)
Instances For
def
LengthIndexedList.map
{α : Type u}
@@ -89,7 +89,7 @@
(f : α → β)
{n : ℕ}
- :
LengthIndexedList α n → LengthIndexedList β n
Equations
- LengthIndexedList.map f LengthIndexedList.nil = LengthIndexedList.nil
- LengthIndexedList.map f (LengthIndexedList.cons a_2 a_3) = LengthIndexedList.cons (f a_2) (LengthIndexedList.map f a_3)
Instances For
Equations
- LengthIndexedList.map f LengthIndexedList.nil = LengthIndexedList.nil
- LengthIndexedList.map f (LengthIndexedList.cons a_2 a_3) = LengthIndexedList.cons (f a_2) (LengthIndexedList.map f a_3)
Instances For
def
LengthIndexedList.foldl
{α : Type u}
@@ -100,7 +100,7 @@
(f : β → α → β)
(acc : β)
- :
LengthIndexedList α n → β
Equations
- LengthIndexedList.foldl f acc LengthIndexedList.nil = acc
- LengthIndexedList.foldl f acc (LengthIndexedList.cons a_2 a_3) = LengthIndexedList.foldl f (f acc a_2) a_3
Instances For
Equations
- LengthIndexedList.foldl f acc LengthIndexedList.nil = acc
- LengthIndexedList.foldl f acc (LengthIndexedList.cons a_2 a_3) = LengthIndexedList.foldl f (f acc a_2) a_3
Instances For
def
LengthIndexedList.zipWith
{α : Type u}
@@ -111,7 +111,7 @@
{n : ℕ}
(f : α → β → γ)
- :
LengthIndexedList α n → LengthIndexedList β n → LengthIndexedList γ n
Equations
- LengthIndexedList.zipWith f LengthIndexedList.nil LengthIndexedList.nil = LengthIndexedList.nil
- LengthIndexedList.zipWith f (LengthIndexedList.cons x_2 xs) (LengthIndexedList.cons y ys) = LengthIndexedList.cons (f x_2 y) (LengthIndexedList.zipWith f xs ys)
Instances For
Equations
- LengthIndexedList.zipWith f LengthIndexedList.nil LengthIndexedList.nil = LengthIndexedList.nil
- LengthIndexedList.zipWith f (LengthIndexedList.cons x_2 xs) (LengthIndexedList.cons y ys) = LengthIndexedList.cons (f x_2 y) (LengthIndexedList.zipWith f xs ys)
Instances For
def
LengthIndexedList.nth
{α : Type u}
@@ -120,12 +120,12 @@
(l : LengthIndexedList α n)
(i : Fin n)
- :
α
Equations
- LengthIndexedList.nth (LengthIndexedList.cons x a) { val := 0, isLt := isLt } = x
- LengthIndexedList.nth (LengthIndexedList.cons a xs) { val := Nat.succ i_2, isLt := h } = LengthIndexedList.nth xs { val := i_2, isLt := (_ : i_2 < n_2) }
Instances For
instance
+ :
α
Equations
- LengthIndexedList.nth (LengthIndexedList.cons x a) { val := 0, isLt := isLt } = x
- LengthIndexedList.nth (LengthIndexedList.cons a xs) { val := Nat.succ i_2, isLt := h } = LengthIndexedList.nth xs { val := i_2, isLt := (_ : i_2 < n_2) }
Instances For
instance
LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat
{α : Type u_1}
{n : ℕ}
- :
GetElem (LengthIndexedList α n) ℕ α fun _xs i => i < n
Equations
- LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat = { getElem := fun xs i h => LengthIndexedList.nth xs { val := i, isLt := h } }
Equations
- LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat = { getElem := fun xs i h => LengthIndexedList.nth xs { val := i, isLt := h } }
def
LengthIndexedList.NatEq
{α : Type u}
@@ -133,16 +133,16 @@
{m : ℕ}
:
n = m → LengthIndexedList α n → LengthIndexedList α m
Equations
- LengthIndexedList.NatEq h l = match m, h, l with - | .(n), (_ : n = n), l => l
Instances For
Equations
- One or more equations did not get rendered due to their size.
- LengthIndexedList.finRange 0 = LengthIndexedList.nil
Instances For
Equations
- One or more equations did not get rendered due to their size.
- LengthIndexedList.finRange 0 = LengthIndexedList.nil
Instances For
@[simp]
Equations
- tacticPrint_goal_as_error = Lean.ParserDescr.node `tacticPrint_goal_as_error 1024 (Lean.ParserDescr.nonReservedSymbol "print_goal_as_error " false)
Instances For
Documentation
SSA.Core.WellTypedFramework
class
+
+
\ No newline at end of file
diff --git a/SSA/Projects/InstCombine/Alive.html b/SSA/Projects/InstCombine/Alive.html
index fe5e00d08..13764486c 100644
--- a/SSA/Projects/InstCombine/Alive.html
+++ b/SSA/Projects/InstCombine/Alive.html
@@ -1,6 +1,6 @@
SSA.Projects.InstCombine.Alive
-
Equations
- One or more equations did not get rendered due to their size.
Instances For
inductive
+Lean types.
Instances
Equations
- One or more equations did not get rendered due to their size.
Instances For
- base: {β : Type} → β → SSA.UserType β
- pair: {β : Type} → SSA.UserType β → SSA.UserType β → SSA.UserType β
- triple: {β : Type} → SSA.UserType β → SSA.UserType β → SSA.UserType β → SSA.UserType β
- unit: {β : Type} → SSA.UserType β
- region: {β : Type} → SSA.UserType β → SSA.UserType β → SSA.UserType β
A UserType is a type of user-defined values in SSA programs.
The main objective of UserType is to be able to have decidability
properties, like decidable equality, for the restricted set of types
in the user-defined semantics, since Lean's Type does not have these
-properties.
Instances For
instance
-SSA.instDecidableEqUserType :
{β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
Equations
- SSA.instDecidableEqUserType = SSA.decEqUserType✝
instance
+properties.
Instances For
instance
+SSA.instDecidableEqUserType :
{β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
Equations
- SSA.instDecidableEqUserType = SSA.decEqUserType✝
Equations
- SSA.UserType.instReprUserType = { reprPrec := SSA.UserType.instReprUserType.go }
Equations
- SSA.UserType.instReprUserType = { reprPrec := SSA.UserType.instReprUserType.go }
Equations
- One or more equations did not get rendered due to their size.
- SSA.UserType.instReprUserType.go (SSA.UserType.base b) x = reprPrec b x
- SSA.UserType.instReprUserType.go SSA.UserType.unit x = reprPrec () x
- SSA.UserType.instReprUserType.go (SSA.UserType.region bdom bcod) x = SSA.UserType.instReprUserType.go bdom (x + 1) ++ Std.Format.text " →" ++ SSA.UserType.instReprUserType.go bcod (x + 1)
Instances For
Equations
- One or more equations did not get rendered due to their size.
- SSA.UserType.instReprUserType.go (SSA.UserType.base b) x = reprPrec b x
- SSA.UserType.instReprUserType.go SSA.UserType.unit x = reprPrec () x
- SSA.UserType.instReprUserType.go (SSA.UserType.region bdom bcod) x = SSA.UserType.instReprUserType.go bdom (x + 1) ++ Std.Format.text " →" ++ SSA.UserType.instReprUserType.go bcod (x + 1)
Instances For
Equations
- SSA.UserType.UserType.ofBase = SSA.UserType.base
Instances For
@[match_pattern]
Equations
- SSA.UserType.UserType.ofPair x = match x with - | (b, b') => SSA.UserType.pair b b'
Instances For
@[match_pattern]
def
SSA.UserType.UserType.ofTriple
{β : Type}
:
SSA.UserType β × SSA.UserType β × SSA.UserType β → SSA.UserType β
Equations
- SSA.UserType.UserType.ofTriple x = match x with - | (b₁, b₂, b₃) => SSA.UserType.triple b₁ b₂ b₃
Instances For
Equations
- SSA.UserType.UserType.ofUnit x = SSA.UserType.unit
Instances For
Equations
- SSA.UserType.instCoeUserType = { coe := SSA.UserType.UserType.ofBase }
Equations
- SSA.UserType.instCoeUserType = { coe := SSA.UserType.UserType.ofBase }
instance
SSA.UserType.instCoeProdUserType
{β : Type}
- :
Coe (SSA.UserType β × SSA.UserType β) (SSA.UserType β)
Equations
- SSA.UserType.instCoeProdUserType = { coe := SSA.UserType.UserType.ofPair }
Equations
- SSA.UserType.instCoeProdUserType = { coe := SSA.UserType.UserType.ofPair }
instance
SSA.UserType.instCoeProdUserType_1
{β : Type}
- :
Coe (SSA.UserType β × SSA.UserType β × SSA.UserType β) (SSA.UserType β)
Equations
- SSA.UserType.instCoeProdUserType_1 = { coe := SSA.UserType.UserType.ofTriple }
Equations
- SSA.UserType.instCoeProdUserType_1 = { coe := SSA.UserType.UserType.ofTriple }
Equations
- SSA.UserType.instCoeUnitUserType = { coe := SSA.UserType.UserType.ofUnit }
Equations
- SSA.UserType.instCoeUnitUserType = { coe := SSA.UserType.UserType.ofUnit }
instance
SSA.UserType.instCoeProdUserType_2
{α : Type u_1}
@@ -68,20 +68,20 @@
:
Coe (α × α') (SSA.UserType β)
Equations
- SSA.UserType.instCoeProdUserType_2 = { coe := fun x => match x with - | (a, a') => SSA.UserType.pair (Coe.coe a) (Coe.coe a') }
Equations
- SSA.UserType.instInhabitedUserType = { default := SSA.UserType.unit }
Equations
- SSA.UserType.instInhabitedUserType = { default := SSA.UserType.unit }
Equations
- SSA.UserType.toType (SSA.UserType.base t) = ⟦t⟧
- SSA.UserType.toType (SSA.UserType.pair k₁ k₂) = (SSA.UserType.toType k₁ × SSA.UserType.toType k₂)
- SSA.UserType.toType (SSA.UserType.triple k₁ k₂ k₃) = (SSA.UserType.toType k₁ × SSA.UserType.toType k₂ × SSA.UserType.toType k₃)
- SSA.UserType.toType SSA.UserType.unit = Unit
- SSA.UserType.toType (SSA.UserType.region k₁ k₂) = (SSA.UserType.toType k₁ → SSA.UserType.toType k₂)
Instances For
Equations
- SSA.UserType.toType (SSA.UserType.base t) = ⟦t⟧
- SSA.UserType.toType (SSA.UserType.pair k₁ k₂) = (SSA.UserType.toType k₁ × SSA.UserType.toType k₂)
- SSA.UserType.toType (SSA.UserType.triple k₁ k₂ k₃) = (SSA.UserType.toType k₁ × SSA.UserType.toType k₂ × SSA.UserType.toType k₃)
- SSA.UserType.toType SSA.UserType.unit = Unit
- SSA.UserType.toType (SSA.UserType.region k₁ k₂) = (SSA.UserType.toType k₁ → SSA.UserType.toType k₂)
Instances For
Equations
- SSA.UserType.instGoedelUserType = { toType := SSA.UserType.toType }
Equations
- SSA.UserType.instGoedelUserType = { toType := SSA.UserType.toType }
Equations
- SSA.UserType.mkPair x x = match x, x with - | k₁, k₂ => (k₁, k₂)
Instances For
def
+ | k₁, k₂ => (k₁, k₂)
Instances For
Equations
- SSA.UserType.mkTriple x x x = match x, x, x with - | k₁, k₂, k₃ => (k₁, k₂, k₃)
Instances For
def
+ | k₁, k₂, k₃ => (k₁, k₂, k₃)
Instances For
def
SSA.UserType.fstPair
{β : Type}
@@ -113,7 +113,7 @@
{k₂ : SSA.UserType β}
:
⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₁⟧
Equations
- SSA.UserType.fstPair x = match x with - | (k₁, snd) => k₁
Instances For
def
+ | (k₁, snd) => k₁
Instances For
def
SSA.UserType.sndPair
{β : Type}
@@ -123,7 +123,7 @@
{k₂ : SSA.UserType β}
:
⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₂⟧
Equations
- SSA.UserType.sndPair x = match x with - | (fst, k₂) => k₂
Instances For
def
+ | (fst, k₂) => k₂
Instances For
def
SSA.UserType.fstTriple
{β : Type}
@@ -135,7 +135,7 @@
{k₃ : SSA.UserType β}
:
⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₁⟧
Equations
- SSA.UserType.fstTriple x = match x with - | (k₁, fst, snd) => k₁
Instances For
def
+ | (k₁, fst, snd) => k₁
Instances For
def
SSA.UserType.sndTriple
{β : Type}
@@ -147,7 +147,7 @@
{k₃ : SSA.UserType β}
:
⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₂⟧
Equations
- SSA.UserType.sndTriple x = match x with - | (fst, k₂, snd) => k₂
Instances For
def
+ | (fst, k₂, snd) => k₂
Instances For
def
SSA.UserType.trdTriple
{β : Type}
@@ -159,7 +159,7 @@
{k₃ : SSA.UserType β}
:
⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₃⟧
Equations
- SSA.UserType.trdTriple x = match x with - | (fst, fst_1, k₃) => k₃
Instances For
class
+ | (fst, fst_1, k₃) => k₃
Instances For
class
SSA.OperationTypes
(Op : Type)
@@ -174,7 +174,7 @@
domain and codomain of regions within the operation.
eval gives the actual evaluation semantics of the operation, by defining a function for
every operation o : Op of type toType (argUserType o) → (toType (rgnDom o) → toType (rgnCod o)) → toType (outUserType o).Instances
class
+
Instances
- eval : (o : Op) → ⟦SSA.OperationTypes.argUserType o⟧ → - (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧
Instances
inductive
+ (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧
Instances
- empty: {β : Type} → SSA.Context β
- snoc: {β : Type} → SSA.Context β → SSA.Var → SSA.UserType β → SSA.Context β
Instances For
- empty: {β : Type} → SSA.Context β
- snoc: {β : Type} → SSA.Context β → SSA.Var → SSA.UserType β → SSA.Context β
Instances For
- prev: {β : Type} → {a : SSA.UserType β} → {v' : SSA.Var} → - {a' : SSA.UserType β} → {Γ : SSA.Context β} → SSA.Context.Var Γ a → SSA.Context.Var (SSA.Context.snoc Γ v' a') a
- last: {β : Type} → {Γ : SSA.Context β} → {v : SSA.Var} → {a : SSA.UserType β} → SSA.Context.Var (SSA.Context.snoc Γ v a) a
Instances For
instance
+ {a' : SSA.UserType β} → {Γ : SSA.Context β} → SSA.Context.Var Γ a → SSA.Context.Var (SSA.Context.snoc Γ v' a') alast: {β : Type} → {Γ : SSA.Context β} → {v : SSA.Var} → {a : SSA.UserType β} → SSA.Context.Var (SSA.Context.snoc Γ v a) a
Instances For
Equations
- SSA.instEmptyCollectionContext = { emptyCollection := SSA.Context.empty }
Equations
- SSA.instEmptyCollectionContext = { emptyCollection := SSA.Context.empty }
Equations
- SSA.EnvC c = (⦃a : SSA.UserType β⦄ → SSA.Context.Var c a → ⟦a⟧)
Instances For
Equations
- SSA.EnvC c = (⦃a : SSA.UserType β⦄ → SSA.Context.Var c a → ⟦a⟧)
Instances For
def
SSA.Context.Var.emptyElim
{P : Sort u_1}
@@ -215,20 +215,20 @@
{a : SSA.UserType β}
(v : SSA.Context.Var SSA.Context.empty a)
- :
P
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instance
SSA.instEmptyCollectionEnvCEmpty
{β : Type}
[inst : Goedel β]
- :
EmptyCollection (SSA.EnvC SSA.Context.empty)
Equations
- SSA.instEmptyCollectionEnvCEmpty = { emptyCollection := SSA.EnvC.empty }
Equations
- SSA.instEmptyCollectionEnvCEmpty = { emptyCollection := SSA.EnvC.empty }
- EXPR: {β : Type} → SSA.UserType β → SSA.TSSAIndex β
Ways of making an RHS
- STMT: {β : Type} → SSA.UserType β → SSA.TSSAIndex β
A statement eventually returning a value of type
β - REGION: {β : Type} → SSA.UserType β → SSA.UserType β → SSA.TSSAIndex β
a lambda
Instances For
- EXPR: {β : Type} → SSA.UserType β → SSA.TSSAIndex β
Ways of making an RHS
- STMT: {β : Type} → SSA.UserType β → SSA.TSSAIndex β
A statement eventually returning a value of type
β - REGION: {β : Type} → SSA.UserType β → SSA.UserType β → SSA.TSSAIndex β
a lambda
Instances For
Equations
- SSA.TSSAIndex.eval x = match x with | SSA.TSSAIndex.STMT T => ⟦T⟧ | SSA.TSSAIndex.EXPR T => ⟦T⟧ - | SSA.TSSAIndex.REGION dom cod => ⟦dom⟧ → ⟦cod⟧
Instances For
inductive
SSA.TSSA
(Op : Type)
@@ -297,7 +297,7 @@
SSA.Context.Var Γ (SSA.UserType.region T₁ T₂) → SSA.TSSA Op Γ (SSA.TSSAIndex.REGION T₁ T₂)var: {Op β : Type} →
[inst : Goedel β] →
[inst_1 : SSA.OperationTypes Op β] →
- {Γ : SSA.Context β} → {T : SSA.UserType β} → SSA.Context.Var Γ T → SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)
a variable.
Instances For
def
+ {Γ : SSA.Context β} → {T : SSA.UserType β} → SSA.Context.Var Γ T → SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)
a variable.
Instances For
def
SSA.TSSA.eval
{Op : Type}
@@ -314,7 +314,7 @@
SSA.TSSA.eval body fun x v =>
match x, v with
| x, SSA.Context.Var.prev v' => x x v'
- | .(dom), SSA.Context.Var.last => argSSA.TSSA.eval SSA.TSSA.rgn0 x = id SSA.TSSA.eval (SSA.TSSA.rgnvar v) x = x (SSA.UserType.region T₁ T₂) v SSA.TSSA.eval (SSA.TSSA.var v) x = x T v SSA.TSSA.eval SSA.TSSA.unit x = ()
Instances For
class
+ | .(dom), SSA.Context.Var.last => argSSA.TSSA.eval SSA.TSSA.rgn0 x = id SSA.TSSA.eval (SSA.TSSA.rgnvar v) x = x (SSA.UserType.region T₁ T₂) v SSA.TSSA.eval (SSA.TSSA.var v) x = x T v SSA.TSSA.eval SSA.TSSA.unit x = ()
Instances For
- evalM : (o : Op) → SSA.UserType.toType (SSA.OperationTypes.argUserType o) → (SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o))) → - M (SSA.UserType.toType (SSA.OperationTypes.outUserType o))
Instances
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def
SSA.TSSA.evalM
{Op : Type}
@@ -358,72 +358,72 @@
SSA.TSSA.evalM body fun x v =>
match x, v with
| x, SSA.Context.Var.prev v' => e v'
- | .(dom), SSA.Context.Var.last => argSSA.TSSA.evalM SSA.TSSA.rgn0 = fun x x => pure x SSA.TSSA.evalM (SSA.TSSA.rgnvar v) = fun e x => pure (e (SSA.UserType.region T₁ T₂) v x) SSA.TSSA.evalM (SSA.TSSA.var v) = fun e => pure (e v) SSA.TSSA.evalM SSA.TSSA.unit = fun x => pure ()
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def
+ | .(dom), SSA.Context.Var.last => argSSA.TSSA.evalM SSA.TSSA.rgn0 = fun x x => pure x SSA.TSSA.evalM (SSA.TSSA.rgnvar v) = fun e x => pure (e (SSA.UserType.region T₁ T₂) v x) SSA.TSSA.evalM (SSA.TSSA.var v) = fun e => pure (e v) SSA.TSSA.evalM SSA.TSSA.unit = fun x => pure ()
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- EDSL.«dsl_var%v_» = Lean.ParserDescr.node `EDSL.dsl_var%v_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "%v") (Lean.ParserDescr.const `num))
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- EDSL.«dsl_exprUnit:» = Lean.ParserDescr.node `EDSL.dsl_exprUnit: 1024 (Lean.ParserDescr.symbol "unit:")
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- EDSL.dsl_expr_ = Lean.ParserDescr.node `EDSL.dsl_expr_ 1022 (Lean.ParserDescr.cat `dsl_var 0)
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def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "%v") (Lean.ParserDescr.const `num))
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- EDSL.«dsl_exprUnit:» = Lean.ParserDescr.node `EDSL.dsl_exprUnit: 1024 (Lean.ParserDescr.symbol "unit:")
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- EDSL.dsl_expr_ = Lean.ParserDescr.node `EDSL.dsl_expr_ 1022 (Lean.ParserDescr.cat `dsl_var 0)
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- EDSL.«dsl_stmt_;» = Lean.ParserDescr.node `EDSL.dsl_stmt_; 1022 - (Lean.ParserDescr.sepBy (Lean.ParserDescr.cat `dsl_assign 0) "" (Lean.ParserDescr.symbol ""))
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@[inline]
+ (Lean.ParserDescr.sepBy (Lean.ParserDescr.cat `dsl_assign 0) "" (Lean.ParserDescr.symbol ""))Instances For
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@[inline]
Equations
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- EDSL.SSAElabContext.addVar var = modify fun ctx => { vars := Array.push ctx.vars var }
Instances For
Equations
- EDSL.SSAElabContext.addVar var = modify fun ctx => { vars := Array.push ctx.vars var }
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extract out the index (nat) of the dsl_var
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convert a de-bruijn into a intrinsically well typed context variable
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extract out the index (nat) of the dsl_var
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convert a de-bruijn into a intrinsically well typed context variable
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partial def
EDSL.elabAssign
(mkNext : EDSL.SSAElabM (Lean.TSyntax `term))
- :
Lean.TSyntax `dsl_assign → EDSL.SSAElabM (Lean.TSyntax `term)
partial def
EDSL.elabStmt
(ret : Lean.TSyntax `dsl_var)
- :
Lean.TSyntax `dsl_stmt → EDSL.SSAElabM (Lean.TSyntax `term)
partial def
EDSL.elabStmt.go
(ret : Lean.TSyntax `dsl_var)
- :
List (Lean.TSyntax `dsl_assign) → EDSL.SSAElabM (Lean.TSyntax `term)
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Documentation
SSA.Projects.InstCombine.Alive
theorem
+
+
theorem
alive_AddSub_1043 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (C1 Z RHS : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -105,7 +105,7 @@
(SSA.TSSA.assign 15
(SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))
- e
theorem
+ e
theorem
alive_AddSub_1152 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -123,7 +123,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_AddSub_1156 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -139,7 +139,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_AddSub_1164 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -173,7 +173,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_AddSub_1165 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -260,7 +260,7 @@
(SSA.TSSA.assign 13
(SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))
- e
theorem
+ e
theorem
alive_AddSub_1176 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -294,7 +294,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_AddSub_1202 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -341,7 +341,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))
(SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))
- e
theorem
+ e
theorem
alive_AddSub_1295 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -381,7 +381,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AddSub_1309 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -421,7 +421,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AddSub_1539 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a x : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -455,7 +455,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_AddSub_1539_2 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -475,7 +475,7 @@
(SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)
(SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))
- e
theorem
+ e
theorem
alive_AddSub_1556 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -493,7 +493,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_AddSub_1560 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -511,7 +511,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_AddSub_1564 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -559,7 +559,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))
- e
theorem
+ e
theorem
alive_AddSub_1574 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -601,7 +601,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AddSub_1614 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -633,7 +633,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_AddSub_1619 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -664,7 +664,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_AddSub_1624 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -704,7 +704,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_135 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -755,7 +755,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_144 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -809,7 +809,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_698 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -999,7 +999,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)
SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_709 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1133,7 +1133,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)
SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_716 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1263,7 +1263,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)
SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_794 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1309,7 +1309,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last
SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_827 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1406,7 +1406,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last
SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_887_2 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a C1 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1451,7 +1451,7 @@
SSA.TSSA.rgn0)
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1230__A__B___A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (notOp0 notOp1 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1541,7 +1541,7 @@
(SSA.TSSA.assign 13
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1241_AB__AB__AB :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1615,7 +1615,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1247_AB__AB__AB :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1691,7 +1691,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1253_A__AB___A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1727,7 +1727,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1280_ABA___AB :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1776,7 +1776,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1288_A__B__B__C__A___A__B__C :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1868,7 +1868,7 @@
(SSA.TSSA.assign 14
(SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1294_A__B__A__B___A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1946,7 +1946,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1683_1 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -1992,7 +1992,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last
SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1683_2 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2037,7 +2037,7 @@
SSA.TSSA.rgn0)
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1704 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2116,7 +2116,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last
SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1705 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2197,7 +2197,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last
SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_1733 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2294,7 +2294,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last
SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C1 C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2352,7 +2352,7 @@
(SSA.TSSA.assign 12
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2113___A__B__A___A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2401,7 +2401,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2118___A__B__A___A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2450,7 +2450,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2123___A__B__A__B___A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2515,7 +2515,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2188 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A D : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2623,7 +2623,7 @@
(SSA.TSSA.assign 14
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2231__A__B__B__C__A___A__B__C :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2695,7 +2695,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2243__B__C__A__B___B__A__C :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2755,7 +2755,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2247__A__B__A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2845,7 +2845,7 @@
(SSA.TSSA.assign 13
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2263 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (B op0 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2873,7 +2873,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2264 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2941,7 +2941,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))
(SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2265 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -2981,7 +2981,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2284 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3049,7 +3049,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))
(SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2285 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3117,7 +3117,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))
(SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2297 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3187,7 +3187,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2367 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C1 op1 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3228,7 +3228,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2416 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3299,7 +3299,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))
(SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2417 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3371,7 +3371,7 @@
(SSA.TSSA.assign 12
(SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2429 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3428,7 +3428,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2430 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3486,7 +3486,7 @@
(SSA.TSSA.assign 12
(SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2443 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3539,7 +3539,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2453 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3572,7 +3572,7 @@
(SSA.TSSA.assign 6
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sge w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2475 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3615,7 +3615,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2486 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3657,7 +3657,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2581__BAB___A__B :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3693,7 +3693,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2587__BAA___B__A :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3731,7 +3731,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2595 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3771,7 +3771,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2607 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -3885,7 +3885,7 @@
(SSA.TSSA.assign 14
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2617 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4001,7 +4001,7 @@
(SSA.TSSA.assign 14
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2627 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a c_1 b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4087,7 +4087,7 @@
(SSA.TSSA.assign 14
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2647 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4127,7 +4127,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2658 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4245,7 +4245,7 @@
(SSA.TSSA.assign 15
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))
- e
theorem
+ e
theorem
alive_AndOrXor_2663 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4291,7 +4291,7 @@
(SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last
SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_152 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4309,7 +4309,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_160 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x C1 C2 : Bitvec 7),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4352,7 +4352,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_229 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 Op1 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4401,7 +4401,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_239 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4460,7 +4460,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))
- e
theorem
+ e
theorem
alive_275 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4494,7 +4494,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_275_2 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4528,7 +4528,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_276 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4594,7 +4594,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_276_2 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4660,7 +4660,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_283 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4678,7 +4678,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_290__292 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y Op1 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4712,7 +4712,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_820 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4753,7 +4753,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_820' :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4794,7 +4794,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))
(SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))
- e
theorem
+ e
theorem
alive_891 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x N : Bitvec 13),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4828,7 +4828,7 @@
(SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr 13) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_1030 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4846,7 +4846,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_Select_846 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4870,7 +4870,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_Select_850 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4902,7 +4902,7 @@
(SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_Select_855 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4925,7 +4925,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_Select_859 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4956,7 +4956,7 @@
(SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))
- e
theorem
+ e
theorem
alive_Select_851 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4976,7 +4976,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_Select_852 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -4996,7 +4996,7 @@
(SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)
(SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))
- e
theorem
+ e
theorem
alive_Select_1100 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5016,7 +5016,7 @@
(SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))
- e
theorem
+ e
theorem
alive_Select_1105 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5036,7 +5036,7 @@
(SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))
- e
theorem
+ e
theorem
alive_InstCombineShift__239 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5076,7 +5076,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__279 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5116,7 +5116,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__351 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X C1 C2 : Bitvec 7),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5160,7 +5160,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__422_1 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5257,7 +5257,7 @@
(SSA.TSSA.assign 16
(SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__422_2 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5354,7 +5354,7 @@
(SSA.TSSA.assign 16
(SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__440 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5488,7 +5488,7 @@
(SSA.TSSA.assign 18
(SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__458 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5584,7 +5584,7 @@
(SSA.TSSA.assign 16
(SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__476 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5717,7 +5717,7 @@
(SSA.TSSA.assign 18
(SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__497 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5768,7 +5768,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__497''' :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5819,7 +5819,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__582 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
@@ -5859,7 +5859,7 @@
SSA.Context.Var.last)
(SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)
(SSA.TSSA.ret SSA.Context.Var.last)))))))))))
- e
theorem
+ e
theorem
alive_InstCombineShift__724 :
∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (A C2 C1 : Bitvec 31),
SSA.TSSA.eval
(SSA.TSSA.assign 0 SSA.TSSA.unit
diff --git a/SSA/Projects/InstCombine/AliveStatements.html b/SSA/Projects/InstCombine/AliveStatements.html
index a125b4e5b..ebc69e9d0 100644
--- a/SSA/Projects/InstCombine/AliveStatements.html
+++ b/SSA/Projects/InstCombine/AliveStatements.html
@@ -1,6 +1,6 @@
SSA.Projects.InstCombine.AliveStatements
-
Documentation
SSA.Projects.InstCombine.AliveStatements
theorem
+
+
theorem
bitvec_AndOrXor_698
(w : ℕ)
@@ -149,7 +149,7 @@
(b : Bitvec w)
(d : Bitvec w)
- :
Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
theorem
+ :
Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
theorem
bitvec_AndOrXor_709
(w : ℕ)
@@ -158,7 +158,7 @@
(b : Bitvec w)
(d : Bitvec w)
- :
Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
theorem
+ :
Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
theorem
bitvec_AndOrXor_716
(w : ℕ)
@@ -167,63 +167,63 @@
(b : Bitvec w)
(d : Bitvec w)
- :
Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
theorem
+ :
Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
theorem
bitvec_AndOrXor_794
(w : ℕ)
(a : Bitvec w)
(b : Bitvec w)
- :
Bitvec.ofBool (decide (Bitvec.sgt a b)) &&& Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.sgt a b))
theorem
+ :
Bitvec.ofBool (decide (Bitvec.sgt a b)) &&& Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.sgt a b))
theorem
bitvec_AndOrXor_827
(w : ℕ)
(a : Bitvec w)
(b : Bitvec w)
- :
Bitvec.ofBool (a == 0) &&& Bitvec.ofBool (b == 0) = Bitvec.ofBool (a ||| b == 0)
theorem
bitvec_AndOrXor_887_2
(w : ℕ)
(a : Bitvec w)
(C1 : Bitvec w)
- :
Bitvec.ofBool (a == C1) &&& Bitvec.ofBool (a != C1) = Bitvec.ofBool false
theorem
bitvec_AndOrXor_1683_1
(w : ℕ)
(a : Bitvec w)
(b : Bitvec w)
- :
Bitvec.ofBool (decide (Bitvec.ugt a b)) ||| Bitvec.ofBool (a == b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem
+ :
Bitvec.ofBool (decide (Bitvec.ugt a b)) ||| Bitvec.ofBool (a == b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem
bitvec_AndOrXor_1683_2
(w : ℕ)
(a : Bitvec w)
(b : Bitvec w)
- :
Bitvec.ofBool (decide (Bitvec.uge a b)) ||| Bitvec.ofBool (a != b) = Bitvec.ofBool true
theorem
bitvec_AndOrXor_1704
(w : ℕ)
(A : Bitvec w)
(B : Bitvec w)
- :
Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ule A B)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem
+ :
Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ule A B)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem
bitvec_AndOrXor_1705
(w : ℕ)
(A : Bitvec w)
(B : Bitvec w)
- :
Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ugt B A)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem
+ :
Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ugt B A)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem
bitvec_AndOrXor_1733
(w : ℕ)
(A : Bitvec w)
(B : Bitvec w)
- :
Bitvec.ofBool (A != 0) ||| Bitvec.ofBool (B != 0) = Bitvec.ofBool (A ||| B != 0)
theorem
bitvec_AndOrXor_2443
(w : ℕ)
(y : Bitvec w)
(x : Bitvec w)
- :
Bitvec.sshr (x ^^^ -1) (Bitvec.toNat y) ^^^ -1 = Bitvec.sshr x (Bitvec.toNat y)
theorem
bitvec_AndOrXor_2453
(w : ℕ)
(y : Bitvec w)
(x : Bitvec w)
- :
Bitvec.ofBool (decide (Bitvec.sle x y)) ^^^ -1 = Bitvec.ofBool (decide (Bitvec.sge x y))
theorem
bitvec_AndOrXor_2663
(w : ℕ)
(a : Bitvec w)
(b : Bitvec w)
- :
Bitvec.ofBool (decide (Bitvec.ult a b)) ^^^ Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem
+ :
Bitvec.ofBool (decide (Bitvec.ult a b)) ^^^ Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem
bitvec_275
(Y : Bitvec 5)
(X : Bitvec 5)
- :
(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem
+ :
(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem
bitvec_275_2
(Y : Bitvec 5)
(X : Bitvec 5)
- :
(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem
+ :
(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem
bitvec_276
(Y : Bitvec 5)
(X : Bitvec 5)
- :
(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem
+ :
(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem
bitvec_276_2
(Y : Bitvec 5)
(X : Bitvec 5)
- :
(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem
+ :
(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem
bitvec_820
(X : Bitvec 9)
(Op1 : Bitvec 9)
- :
(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
theorem
+ :
(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
theorem
bitvec_820'
(X : Bitvec 9)
(Op1 : Bitvec 9)
- :
(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
theorem
+ :
(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
theorem
bitvec_Select_846
(C : Bitvec 1)
(B : Bitvec 1)
- :
Bitvec.select B (Bitvec.ofBool true) C = B ||| C
theorem
bitvec_Select_850
(C : Bitvec 1)
(B : Bitvec 1)
- :
Bitvec.select B (Bitvec.ofBool false) C = (B ^^^ Bitvec.ofBool true) &&& C
theorem
bitvec_Select_855
(C : Bitvec 1)
(B : Bitvec 1)
- :
Bitvec.select B C (Bitvec.ofBool false) = B &&& C
theorem
bitvec_Select_859
(C : Bitvec 1)
(B : Bitvec 1)
- :
Bitvec.select B C (Bitvec.ofBool true) = B ^^^ Bitvec.ofBool true ||| C
theorem
bitvec_Select_1100
(w : ℕ)
(Y : Bitvec w)
(X : Bitvec w)
- :
Bitvec.select (Bitvec.ofBool true) X Y = X
theorem
bitvec_Select_1105
(w : ℕ)
(Y : Bitvec w)
(X : Bitvec w)
- :
Bitvec.select (Bitvec.ofBool false) X Y = Y
theorem
bitvec_InstCombineShift__422_2
(Y : Bitvec 31)
(X : Bitvec 31)
(C : Bitvec 31)
- :
(Y + Bitvec.sshr X (Bitvec.toNat C)) <<< C = Y <<< C + X &&& (-1) <<< C
theorem
bitvec_InstCombineShift__458
(Y : Bitvec 31)
(X : Bitvec 31)
(C : Bitvec 31)
- :
(Bitvec.sshr X (Bitvec.toNat C) - Y) <<< C = X - Y <<< C &&& (-1) <<< C
theorem
bitvec_InstCombineShift__724
(A : Bitvec 31)
diff --git a/SSA/Projects/InstCombine/Base.html b/SSA/Projects/InstCombine/Base.html
index 57896cec0..f9be8214d 100644
--- a/SSA/Projects/InstCombine/Base.html
+++ b/SSA/Projects/InstCombine/Base.html
@@ -1,30 +1,30 @@
SSA.Projects.InstCombine.Base
-
Documentation
SSA.Projects.InstCombine.Base
instance
+
+
\ No newline at end of file
diff --git a/SSA/Projects/InstCombine/ForMathlib.html b/SSA/Projects/InstCombine/ForMathlib.html
index 645439459..d86c8efb0 100644
--- a/SSA/Projects/InstCombine/ForMathlib.html
+++ b/SSA/Projects/InstCombine/ForMathlib.html
@@ -1,11 +1,11 @@
SSA.Projects.InstCombine.ForMathlib
-
\ No newline at end of file
diff --git a/SSA/Projects/InstCombine/PeepholeRewrites.html b/SSA/Projects/InstCombine/PeepholeRewrites.html
index e5cd0b164..89a73b6ca 100644
--- a/SSA/Projects/InstCombine/PeepholeRewrites.html
+++ b/SSA/Projects/InstCombine/PeepholeRewrites.html
@@ -1,33 +1,33 @@
SSA.Projects.InstCombine.PeepholeRewrites
-
diff --git a/SSA/Projects/InstCombine/Tactic.html b/SSA/Projects/InstCombine/Tactic.html
index 6b8381d75..3446a6b07 100644
--- a/SSA/Projects/InstCombine/Tactic.html
+++ b/SSA/Projects/InstCombine/Tactic.html
@@ -1,6 +1,6 @@
SSA.Projects.InstCombine.Tactic
-
Equations
- InstCombine.instReprBaseType = { reprPrec := fun x x_1 => match x, x_1 with - | InstCombine.BaseType.bitvec w, x => Std.Format.text "i" ++ repr w }
Equations
- InstCombine.instInhabitedBaseType = { default := InstCombine.BaseType.bitvec w }
Equations
- InstCombine.instInhabitedBaseType = { default := InstCombine.BaseType.bitvec w }
Equations
Instances For
Equations
- InstCombine.instGoedelBaseType = { toType := fun x => match x with - | InstCombine.BaseType.bitvec w => Option (Bitvec w) }
Equations
- InstCombine.instReprBitvec = { reprPrec := fun x x_1 => match x, x_1 with - | v, n => reprPrec (Bitvec.toInt v) n }
@[inline]
Instances For
Instances For
- eq: InstCombine.Comparison
- ne: InstCombine.Comparison
- ugt: InstCombine.Comparison
- uge: InstCombine.Comparison
- ult: InstCombine.Comparison
- ule: InstCombine.Comparison
- sgt: InstCombine.Comparison
- sge: InstCombine.Comparison
- slt: InstCombine.Comparison
- sle: InstCombine.Comparison
eq: yields true if the operands are equal, false otherwise. No sign interpretation is necessary or performed. ne: yields true if the operands are unequal, false otherwise. No sign interpretation is necessary or performed. ugt: interprets the operands as unsigned values and yields true if op1 is greater than op2. @@ -34,71 +34,71 @@ sgt: interprets the operands as signed values and yields true if op1 is greater than op2. sge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2. slt: interprets the operands as signed values and yields true if op1 is less than op2. -sle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.
Instances For
Equations
- InstCombine.instReprComparison = { reprPrec := InstCombine.reprComparison✝ }
instance
+sle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.
Instances For
Equations
- InstCombine.instReprComparison = { reprPrec := InstCombine.reprComparison✝ }
Equations
- InstCombine.instDecidableEqComparison x y = if h : InstCombine.Comparison.toCtorIdx x = InstCombine.Comparison.toCtorIdx y then isTrue (_ : x = y) - else isFalse (_ : x = y → False)
- and: ℕ → InstCombine.Op
- or: ℕ → InstCombine.Op
- not: ℕ → InstCombine.Op
- xor: ℕ → InstCombine.Op
- shl: ℕ → InstCombine.Op
- lshr: ℕ → InstCombine.Op
- ashr: ℕ → InstCombine.Op
- urem: ℕ → InstCombine.Op
- srem: ℕ → InstCombine.Op
- select: ℕ → InstCombine.Op
- add: ℕ → InstCombine.Op
- mul: ℕ → InstCombine.Op
- sub: ℕ → InstCombine.Op
- neg: ℕ → InstCombine.Op
- copy: ℕ → InstCombine.Op
- sdiv: ℕ → InstCombine.Op
- udiv: ℕ → InstCombine.Op
- icmp: InstCombine.Comparison → ℕ → InstCombine.Op
- const: {w : ℕ} → Bitvec w → InstCombine.Op
Instances For
Equations
- InstCombine.instReprOp = { reprPrec := InstCombine.reprOp✝ }
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- InstCombine.rgnDom x = SSA.UserType.unit
Instances For
Equations
- InstCombine.rgnCod x = SSA.UserType.unit
Instances For
- and: ℕ → InstCombine.Op
- or: ℕ → InstCombine.Op
- not: ℕ → InstCombine.Op
- xor: ℕ → InstCombine.Op
- shl: ℕ → InstCombine.Op
- lshr: ℕ → InstCombine.Op
- ashr: ℕ → InstCombine.Op
- urem: ℕ → InstCombine.Op
- srem: ℕ → InstCombine.Op
- select: ℕ → InstCombine.Op
- add: ℕ → InstCombine.Op
- mul: ℕ → InstCombine.Op
- sub: ℕ → InstCombine.Op
- neg: ℕ → InstCombine.Op
- copy: ℕ → InstCombine.Op
- sdiv: ℕ → InstCombine.Op
- udiv: ℕ → InstCombine.Op
- icmp: InstCombine.Comparison → ℕ → InstCombine.Op
- const: {w : ℕ} → Bitvec w → InstCombine.Op
Instances For
Equations
- InstCombine.instReprOp = { reprPrec := InstCombine.reprOp✝ }
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- InstCombine.rgnDom x = SSA.UserType.unit
Instances For
Equations
- InstCombine.rgnCod x = SSA.UserType.unit
Instances For
def
InstCombine.eval
(o : InstCombine.Op)
(arg : ⟦InstCombine.argUserType o⟧)
(_rgn : ⟦InstCombine.rgnDom o⟧ → ⟦InstCombine.rgnCod o⟧)
- :
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- InstCombine.dsl_opAdd_ = Lean.ParserDescr.node `InstCombine.dsl_opAdd_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "add") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "add") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opAnd_ = Lean.ParserDescr.node `InstCombine.dsl_opAnd_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "and") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "and") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opConst_ = Lean.ParserDescr.node `InstCombine.dsl_opConst_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "const") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "const") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opLshr_ = Lean.ParserDescr.node `InstCombine.dsl_opLshr_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "lshr") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "lshr") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opAshr_ = Lean.ParserDescr.node `InstCombine.dsl_opAshr_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "ashr") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "ashr") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opNot_ = Lean.ParserDescr.node `InstCombine.dsl_opNot_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "not") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "not") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opOr_ = Lean.ParserDescr.node `InstCombine.dsl_opOr_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "or") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "or") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opShl_ = Lean.ParserDescr.node `InstCombine.dsl_opShl_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "shl") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "shl") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opSub_ = Lean.ParserDescr.node `InstCombine.dsl_opSub_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "sub") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "sub") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opXor_ = Lean.ParserDescr.node `InstCombine.dsl_opXor_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "xor") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "xor") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opNeg_ = Lean.ParserDescr.node `InstCombine.dsl_opNeg_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "neg") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "neg") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opCopy_ = Lean.ParserDescr.node `InstCombine.dsl_opCopy_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "copy") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "copy") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opMul_ = Lean.ParserDescr.node `InstCombine.dsl_opMul_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "mul") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "mul") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opSdiv_ = Lean.ParserDescr.node `InstCombine.dsl_opSdiv_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "sdiv") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "sdiv") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opUdiv_ = Lean.ParserDescr.node `InstCombine.dsl_opUdiv_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "udiv") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "udiv") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opUrem_ = Lean.ParserDescr.node `InstCombine.dsl_opUrem_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "urem") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "urem") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opSrem_ = Lean.ParserDescr.node `InstCombine.dsl_opSrem_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "srem") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "srem") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opSelect_ = Lean.ParserDescr.node `InstCombine.dsl_opSelect_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "select") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "select") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opIcmp_eq_ = Lean.ParserDescr.node `InstCombine.dsl_opIcmp_eq_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "icmp eq") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "icmp eq") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- InstCombine.dsl_opIcmp_ne_ = Lean.ParserDescr.node `InstCombine.dsl_opIcmp_ne_ 1022 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "icmp ne") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
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Equations
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Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "icmp ne") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
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Equations
- One or more equations did not get rendered due to their size.
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Equations
- One or more equations did not get rendered due to their size.
Instances For
Documentation
SSA.Projects.InstCombine.ForMathlib
instance
+
+
@[simp]
theorem
Vector.getElem_eq_get
{α : Type u}
@@ -15,82 +15,82 @@
(v : Vector α n)
(i : Fin n)
- :
v[i] = Vector.get v i
Equations
- Bitvec.instInhabitedBitvec n = { default := { val := List.replicate n true, property := (_ : List.length (List.replicate n true) = n) } }
Equations
- Bitvec.instInhabitedBitvec n = { default := { val := List.replicate n true, property := (_ : List.length (List.replicate n true) = n) } }
Equations
- Bitvec.instCoeFunBitvec = { coe := Bitvec.ofFun }
Equations
- Bitvec.instCoeFunBitvec = { coe := Bitvec.ofFun }
Equations
- Bitvec.instCoeBitvecFun = { coe := Bitvec.toFun }
Equations
- Bitvec.instCoeBitvecFun = { coe := Bitvec.toFun }
Equations
- Bitvec.«term𝟶_» = Lean.ParserDescr.node `Bitvec.term𝟶_ 1024 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "𝟶") (Lean.ParserDescr.cat `term 1024))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "𝟶") (Lean.ParserDescr.cat `term 1024))
Instances For
Equations
- Bitvec.«term𝟷_» = Lean.ParserDescr.node `Bitvec.term𝟷_ 1024 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "𝟷") (Lean.ParserDescr.cat `term 1024))
Instances For
Equations
- Bitvec.«term𝟶» = Lean.ParserDescr.node `Bitvec.term𝟶 1024 (Lean.ParserDescr.symbol "𝟶")
Instances For
Equations
- Bitvec.«term𝟷» = Lean.ParserDescr.node `Bitvec.term𝟷 1024 (Lean.ParserDescr.symbol "𝟷")
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "𝟷") (Lean.ParserDescr.cat `term 1024))
Instances For
Equations
- Bitvec.«term𝟶» = Lean.ParserDescr.node `Bitvec.term𝟶 1024 (Lean.ParserDescr.symbol "𝟶")
Instances For
Equations
- Bitvec.«term𝟷» = Lean.ParserDescr.node `Bitvec.term𝟷 1024 (Lean.ParserDescr.symbol "𝟷")
Instances For
Equations
- Bitvec.toZMod x = ↑(Bitvec.toNat x)
Instances For
Equations
- Bitvec.ofZMod x = Bitvec.ofNat n (ZMod.val x)
Instances For
theorem
Bitvec.foldl_addLsb_add
(n : ℕ)
(k : ℕ)
(x : List Bool)
- :
List.foldl Bitvec.addLsb (n + k) x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb n x
theorem
+ :
List.foldl Bitvec.addLsb (n + k) x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb n x
theorem
Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero
(x : List Bool)
(k : ℕ)
- :
List.foldl Bitvec.addLsb k x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb 0 x
theorem
Bitvec.foldl_addLsb_cons_zero
(a : Bool)
(x : List Bool)
- :
List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
theorem
+ :
List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
theorem
Bitvec.toNat_adc_aux
{x : List Bool}
@@ -99,19 +99,19 @@
(_h : List.length x = List.length y)
:
List.foldl Bitvec.addLsb
(Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).fst)
- (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
theorem
+ (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
theorem
Bitvec.toNat_adc
{n : ℕ}
{x : Bitvec n}
{y : Bitvec n}
- :
Bitvec.toNat (Bitvec.adc x y false) = Bitvec.toNat x + Bitvec.toNat y
theorem
Bitvec.toNat_tail
{n : ℕ}
(x : Bitvec n)
- :
Bitvec.toNat (Vector.tail x) = Bitvec.toNat x % 2 ^ (n - 1)
@[simp]
theorem
Bitvec.toNat_add
{n : ℕ}
@@ -119,66 +119,66 @@
(x : Bitvec n)
(y : Bitvec n)
- :
Bitvec.toNat (x + y) = (Bitvec.toNat x + Bitvec.toNat y) % 2 ^ n
theorem
Bitvec.toZMod_add
{n : ℕ}
(x : Bitvec n)
(y : Bitvec n)
- :
Bitvec.toZMod (x + y) = Bitvec.toZMod x + Bitvec.toZMod y
theorem
Bitvec.ofZMod_add
{n : ℕ}
(x : ZMod (2 ^ n))
(y : ZMod (2 ^ n))
- :
Bitvec.ofZMod (x + y) = Bitvec.ofZMod x + Bitvec.ofZMod y
theorem
Bitvec.zero_def
{n : ℕ}
- :
0 = { val := List.replicate n false, property := (_ : List.length ↑0 = n) }
@[simp]
theorem
Bitvec.toZMod_nsmul
{n : ℕ}
@@ -186,49 +186,49 @@
(x : Bitvec n)
(y : ℕ)
- :
Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
theorem
Bitvec.toInt_sub_aux
{x : List Bool}
{y : List Bool}
(_hx : List.length x = List.length y)
- :
(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
instance
+ :
(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
theorem
Bitvec.toZMod_sbb
{n : ℕ}
(x : Bitvec n)
(y : Bitvec n)
- :
Bitvec.toZMod (Bitvec.sbb x y false).snd = Bitvec.toZMod x - Bitvec.toZMod y
theorem
Bitvec.toZMod_sub
{n : ℕ}
(x : Bitvec n)
(y : Bitvec n)
- :
Bitvec.toZMod (x - y) = Bitvec.toZMod x - Bitvec.toZMod y
theorem
Bitvec.toInt_neg_aux
(x : List Bool)
- :
(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
theorem
+ :
(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
@[simp]
theorem
Bitvec.toZMod_zsmul
{n : ℕ}
@@ -236,10 +236,10 @@
(x : Bitvec n)
(y : ℤ)
- :
Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
Equations
- One or more equations did not get rendered due to their size.
Equations
- One or more equations did not get rendered due to their size.
Equations
- Bitvec.add? x y = match Bitvec.adc x y false with | { val := false :: z, property := hcons } => some { val := z, property := (_ : List.length z = n) } - | x => none
Instances For
theorem
+ | x => none
Instances For
theorem
Bitvec.some_add?_eq_add
{n : ℕ}
@@ -257,7 +257,7 @@
{y : Bitvec n}
{z : Bitvec n}
- :
Bitvec.add? x y = some z → x + y = z
def
Bitvec.mul?
{n : ℕ}
@@ -268,7 +268,7 @@
let op₁ ← Bitvec.add? r r
let op₂ ← Bitvec.add? op₁ y
pure (bif b then op₂ else op₁);
- List.foldlM f 0 (Vector.toList x)
Instances For
theorem
Bitvec.mul?_some_eq_mul
{n : ℕ}
@@ -277,7 +277,7 @@
{y : Bitvec n}
{z : Bitvec n}
- :
Bitvec.mul? x y = some z → x * y = z
def
Bitvec.udiv?
{w : ℕ}
@@ -288,7 +288,7 @@
Note that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.
Division by zero is undefined behavior.
Equations
- Bitvec.udiv? x y = match Bitvec.toNat y with | 0 => none - | x => some (Bitvec.ofNat w (Bitvec.toNat x / Bitvec.toNat y))
Instances For
def
Bitvec.sdiv?
{w : ℕ}
@@ -301,7 +301,7 @@
Overflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by -1.
Equations
- Bitvec.sdiv? x y = if Bitvec.toInt y = 0 then none else let div := Bitvec.toInt x / Bitvec.toInt y; - if div < 2 ^ w then some (Bitvec.ofInt w div) else none
Instances For
This instruction returns the unsigned integer remainder of a division. This instruction always performs an unsigned division to get the remainder. Note that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’. -Taking the remainder of a division by zero is undefined behavior.
Equations
- Bitvec.urem? x y = if Bitvec.toNat y = 0 then none else some (Bitvec.ofNat w (Bitvec.toNat x % Bitvec.toNat y))
Instances For
def
+Taking the remainder of a division by zero is undefined behavior.
Equations
- Bitvec.urem? x y = if Bitvec.toNat y = 0 then none else some (Bitvec.ofNat w (Bitvec.toNat x % Bitvec.toNat y))
Instances For
def
Bitvec.srem?
{w : ℕ}
@@ -337,7 +337,7 @@
Overflow also leads to undefined behavior; this is a rare case, but can occur, for example,
by taking the remainder of a 32-bit division of -2147483648 by -1.
(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result
-of the division and the remainder.)
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
+of the division and the remainder.)
Equations
- One or more equations did not get rendered due to their size.
Instances For
If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.
Equations
- Bitvec.select c x y = bif Vector.head c then x else y
Instances For
If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.
Equations
- Bitvec.select c x y = bif Vector.head c then x else y
Instances For
theorem
Bitvec.ext_get?
{w : ℕ}
@@ -362,7 +362,7 @@
{y : Bitvec w}
(h : ∀ (i : ℕ), List.get? (Vector.toList x) i = List.get? (Vector.toList y) i)
- :
x = y
@[simp]
theorem
Bitvec.toList_cong
{w₁ : ℕ}
@@ -372,7 +372,7 @@
(h : w₁ = w₂)
(b : Bitvec w₁)
- :
Vector.toList (Bitvec.cong h b) = Vector.toList b
theorem
Bitvec.get?_shl
{n : ℕ}
@@ -381,7 +381,7 @@
(i : ℕ)
(j : ℕ)
- :
List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
theorem
+ :
List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
theorem
Bitvec.get?_ushr
{n : ℕ}
@@ -390,7 +390,7 @@
(i : ℕ)
(j : ℕ)
- :
List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
theorem
+ :
List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
theorem
Bitvec.get?_and
{n : ℕ}
@@ -402,39 +402,39 @@
:
List.get? (Vector.toList (Bitvec.and x y)) i = do
let __do_lift ← List.get? (Vector.toList x) i
let __do_lift_1 ← List.get? (Vector.toList y) i
- pure (__do_lift && __do_lift_1)
theorem
Bitvec.match_does_not_fold_away
{w : ℕ}
{i : Fin (List.length (Vector.toList (Bitvec.ofInt w (-1))))}
- :
List.get (Vector.toList (Bitvec.ofInt w (-1))) i = true
theorem
Bitvec.get?_ofInt_neg_one
{w : ℕ}
{i : ℕ}
- :
List.get? (Vector.toList (Bitvec.ofInt w (-1))) i = if i < w then some true else none
theorem
Bitvec.shl_ushr_eq_and_shl
{w : ℕ}
{x : Bitvec w}
{C : Bitvec w}
- :
Bitvec.shl (Bitvec.ushr x (Bitvec.toNat C)) (Bitvec.toNat C) = Bitvec.and x (Bitvec.shl (Bitvec.ofInt w (-1)) (Bitvec.toNat C))
inductive
+ :
Bitvec.shl (Bitvec.ushr x (Bitvec.toNat C)) (Bitvec.toNat C) = Bitvec.and x (Bitvec.shl (Bitvec.ofInt w (-1)) (Bitvec.toNat C))
instance
Bitvec.Refinement.instDecidableRelOptionRefinement
{α : Type u}
[inst : DecidableEq α]
- :
DecidableRel Bitvec.Refinement
Equations
- One or more equations did not get rendered due to their size.
Equations
- One or more equations did not get rendered due to their size.
Equations
- Bitvec.«term_⊑_» = Lean.ParserDescr.trailingNode `Bitvec.term_⊑_ 50 51 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ⊑ ") (Lean.ParserDescr.cat `term 51))
Instances For
instance
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ⊑ ") (Lean.ParserDescr.cat `term 51))
Instances For
Equations
- Bitvec.instDecidableEqBitvec = inferInstance
theorem
Bitvec.one_sdiv_eq_add_cmp_select_some
{w : ℕ}
@@ -479,7 +479,7 @@
(hw : w > 1)
(hx : x ≠ 0)
- :
Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
theorem
+ :
Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
theorem
Bitvec.one_sdiv_ref_add_cmp_select
{w : ℕ}
@@ -487,157 +487,157 @@
:
Bitvec.sdiv? (Bitvec.ofInt w 1) x ⊑ some
(Bitvec.select
(Nat.blt (Bitvec.toNat (Bitvec.add x (Bitvec.ofNat w 1))) (Bitvec.toNat (Bitvec.ofNat w 3)) ::ᵥ Vector.nil) x
- (Bitvec.ofNat w 0))
def
+ (Bitvec.ofNat w 0))
Equations
- Bitvec.beq x y = decide (x = y)
Instances For
Equations
- Bitvec.toBool x = match x with - | { val := [b], property := (_ : Nat.succ (List.length []) = Nat.succ 0) } => b
Instances For
theorem
+ | { val := [b], property := (_ : Nat.succ (List.length []) = Nat.succ 0) } => b
Instances For
Equations
Equations
Equations
Equations
Equations
- Bitvec.decPropToBitvec1 p = { coe := Bitvec.ofBool (decide p) }
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- Bitvec.decPropToBitvec1 p = { coe := Bitvec.ofBool (decide p) }
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- Bitvec.ult x y = (Bitvec.toNat x < Bitvec.toNat y)
Instances For
Equations
- Bitvec.ule x y = (Bitvec.toNat x ≤ Bitvec.toNat y)
Instances For
Equations
- Bitvec.ugt x y = (Bitvec.toNat x > Bitvec.toNat y)
Instances For
Equations
- Bitvec.uge x y = (Bitvec.toNat x ≥ Bitvec.toNat y)
Instances For
instance
Bitvec.instDecidableUlt
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.ult x y)
Equations
- Bitvec.instDecidableUlt x y = Nat.decLt (Bitvec.toNat x) (Bitvec.toNat y)
Equations
- Bitvec.instDecidableUlt x y = Nat.decLt (Bitvec.toNat x) (Bitvec.toNat y)
instance
Bitvec.instDecidableUle
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.ule x y)
Equations
- Bitvec.instDecidableUle x y = Nat.decLe (Bitvec.toNat x) (Bitvec.toNat y)
Equations
- Bitvec.instDecidableUle x y = Nat.decLe (Bitvec.toNat x) (Bitvec.toNat y)
instance
Bitvec.instDecidableUgt
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.ugt x y)
Equations
- Bitvec.instDecidableUgt x y = Nat.decLt (Bitvec.toNat y) (Bitvec.toNat x)
Equations
- Bitvec.instDecidableUgt x y = Nat.decLt (Bitvec.toNat y) (Bitvec.toNat x)
instance
Bitvec.instDecidableUge
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.uge x y)
Equations
- Bitvec.instDecidableUge x y = Nat.decLe (Bitvec.toNat y) (Bitvec.toNat x)
Equations
- Bitvec.instDecidableUge x y = Nat.decLe (Bitvec.toNat y) (Bitvec.toNat x)
Equations
- Bitvec.slt x y = (Bitvec.toInt x < Bitvec.toInt y)
Instances For
Equations
- Bitvec.sle x y = (Bitvec.toInt x ≤ Bitvec.toInt y)
Instances For
Equations
- Bitvec.sgt x y = (Bitvec.toInt x > Bitvec.toInt y)
Instances For
Equations
- Bitvec.sge x y = (Bitvec.toInt x ≥ Bitvec.toInt y)
Instances For
instance
Bitvec.instDecidableSlt
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.slt x y)
Equations
- Bitvec.instDecidableSlt x y = Int.decLt (Bitvec.toInt x) (Bitvec.toInt y)
Equations
- Bitvec.instDecidableSlt x y = Int.decLt (Bitvec.toInt x) (Bitvec.toInt y)
instance
Bitvec.instDecidableSle
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.sle x y)
Equations
- Bitvec.instDecidableSle x y = Int.decLe (Bitvec.toInt x) (Bitvec.toInt y)
Equations
- Bitvec.instDecidableSle x y = Int.decLe (Bitvec.toInt x) (Bitvec.toInt y)
instance
Bitvec.instDecidableSgt
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.sgt x y)
Equations
- Bitvec.instDecidableSgt x y = Int.decLt (Bitvec.toInt y) (Bitvec.toInt x)
Equations
- Bitvec.instDecidableSgt x y = Int.decLt (Bitvec.toInt y) (Bitvec.toInt x)
instance
Bitvec.instDecidableSge
{w : ℕ}
(x : Bitvec w)
(y : Bitvec w)
- :
Decidable (Bitvec.sge x y)
Equations
- Bitvec.instDecidableSge x y = Int.decLe (Bitvec.toInt y) (Bitvec.toInt x)
Equations
- Bitvec.instDecidableSge x y = Int.decLe (Bitvec.toInt y) (Bitvec.toInt x)
Equations
- Bitvec.«term_≤ᵤ_» = Lean.ParserDescr.trailingNode `Bitvec.term_≤ᵤ_ 50 0 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≤ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≤ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- Bitvec.«term_<ᵤ_» = Lean.ParserDescr.trailingNode `Bitvec.term_<ᵤ_ 50 0 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " <ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " <ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- Bitvec.«term_≥ᵤ_» = Lean.ParserDescr.trailingNode `Bitvec.term_≥ᵤ_ 50 0 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≥ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≥ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- Bitvec.«term_>ᵤ_» = Lean.ParserDescr.trailingNode `Bitvec.term_>ᵤ_ 50 0 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " >ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " >ᵤ ") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- Bitvec.«term_≤ₛ_» = Lean.ParserDescr.trailingNode `Bitvec.term_≤ₛ_ 50 0 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≤ₛ ") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≤ₛ ") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- Bitvec.«term_<ₛ_» = Lean.ParserDescr.trailingNode `Bitvec.term_<ₛ_ 50 0 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " <ₛ ") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " <ₛ ") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- Bitvec.«term_≥ₛ_» = Lean.ParserDescr.trailingNode `Bitvec.term_≥ₛ_ 50 0 - (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≥ₛ ") (Lean.ParserDescr.cat `term 0))
Instances For
def
+ (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≥ₛ ") (Lean.ParserDescr.cat `term 0))
Instances For
Equations
- Bitvec.«term_>ₛ_» = Lean.ParserDescr.trailingNode `Bitvec.term_>ₛ_ 50 0 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " >ₛ ") (Lean.ParserDescr.cat `term 0))
Instances For
Documentation
SSA.Projects.InstCombine.PeepholeRewrites
def
+
+
def
+ (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
thingy2 :
SSA.TSSA InstCombine.Op
(SSA.Context.snoc
(SSA.Context.snoc SSA.Context.empty (Char.toNat (Char.ofNat 120))
(SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
(Char.toNat (Char.ofNat 913)) (SSA.UserType.base (InstCombine.BaseType.bitvec 16)))
- (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
+ (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
thingy3
(C : Bitvec 32)
- :
SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
-example_macro_1 :
SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
Equations
- example_macro_1 = SSA.TSSA.assign 0 SSA.TSSA.unit (SSA.TSSA.ret SSA.Context.Var.last)
Instances For
def
+ :
SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
+example_macro_1 :
SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
Equations
- example_macro_1 = SSA.TSSA.assign 0 SSA.TSSA.unit (SSA.TSSA.ret SSA.Context.Var.last)
Instances For
def
example_macro_2
(C : Bitvec 32)
:
SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- example_macro_2 C = SSA.TSSA.assign 0 SSA.TSSA.unit (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0) - (SSA.TSSA.ret SSA.Context.Var.last))
Instances For
Equations
- example_macro_3_0 = SSA.TSSA.rgn 0 (SSA.TSSA.ret SSA.Context.Var.last)
Instances For
def
+ (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- example_macro_3_0 = SSA.TSSA.rgn 0 (SSA.TSSA.ret SSA.Context.Var.last)
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
def
+ (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
theorem
+ (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
Equations
- One or more equations did not get rendered due to their size.
Instances For
Documentation
SSA.Projects.InstCombine.Tactic
Equations
- tacticSimp_alive = Lean.ParserDescr.node `tacticSimp_alive 1024 (Lean.ParserDescr.nonReservedSymbol "simp_alive" false)
Instances For
def
+
+
\ No newline at end of file
diff --git a/SSA/Projects/Tensor1D/Tensor1D.html b/SSA/Projects/Tensor1D/Tensor1D.html
index 72005211f..ca8ac31ae 100644
--- a/SSA/Projects/Tensor1D/Tensor1D.html
+++ b/SSA/Projects/Tensor1D/Tensor1D.html
@@ -1,16 +1,16 @@
SSA.Projects.Tensor1D.Tensor1D
-
Equations
- tacticSimp_alive = Lean.ParserDescr.node `tacticSimp_alive 1024 (Lean.ParserDescr.nonReservedSymbol "simp_alive" false)
Instances For
Equations
- tacticAlive_auto = Lean.ParserDescr.node `tacticAlive_auto 1024 (Lean.ParserDescr.nonReservedSymbol "alive_auto" false)
Instances For
Documentation
SSA.Projects.Tensor1D.Tensor1D
structure
+
+
Equations
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
theorem
Val.Tensor1d.extract_map
{α : Type}
@@ -43,7 +43,7 @@
(left : ℕ)
(len : ℕ)
- :
Val.Tensor1d.map f (Val.Tensor1d.extract t left len) = Val.Tensor1d.extract (Val.Tensor1d.map f t) left len
def
+ :
Val.Tensor1d.map f (Val.Tensor1d.extract t left len) = Val.Tensor1d.extract (Val.Tensor1d.map f t) left len
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
theorem
Val.Tensor1d.extract_fill
{α : Type}
@@ -65,7 +65,7 @@
[inst : Inhabited α]
(t : Val.Tensor1d α)
- :
Val.Tensor1d.fill (Val.Tensor1d.extract t left len) v = Val.Tensor1d.extract (Val.Tensor1d.fill t v) left len
def
+ :
Val.Tensor1d.fill (Val.Tensor1d.extract t left len) v = Val.Tensor1d.extract (Val.Tensor1d.fill t v) left len
def
Val.Tensor1d.insertslice
{α : Type}
@@ -76,14 +76,14 @@
(sliceix : ℕ)
(slice : Val.Tensor1d α)
- :
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theorem
Val.extractslice_insertslice
{α : Type}
@@ -96,20 +96,20 @@
(slice : Val.Tensor1d α)
(CORRECT : (Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size).size ≠ 0)
- :
Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
structure
+ :
Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
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- Val.Tensor2d.transpose t = { size0 := t.size1, size1 := t.size0, val := fun ix0 ix1 => Val.Tensor2d.val t ix1 ix0 }
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- Val.Tensor2d.transpose t = { size0 := t.size1, size1 := t.size0, val := fun ix0 ix1 => Val.Tensor2d.val t ix1 ix0 }
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theorem
Val.Tensor1d.map_fusion
{α : Type}
@@ -120,7 +120,7 @@
[inst : Inhabited α]
(t : Val.Tensor1d α)
- :
Val.Tensor1d.map (g ∘ f) t = Val.Tensor1d.map g (Val.Tensor1d.map f t)
Equations
- Val.scf.for.loop f n 0 acc = acc
- Val.scf.for.loop f n (Nat.succ n_minus_i') acc = Val.scf.for.loop f n n_minus_i' (f (n - Nat.succ n_minus_i') acc)
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def
+ :
β
Equations
- Val.scf.for.loop f n 0 acc = acc
- Val.scf.for.loop f n (Nat.succ n_minus_i') acc = Val.scf.for.loop f n n_minus_i' (f (n - Nat.succ n_minus_i') acc)
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- Val.scf.for n f seed = let i := 0; - Val.scf.for.loop f n (n - i) seed
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theorem
Val.scf.for.peel_begin
{β : Sort u_1}
@@ -150,7 +150,7 @@
(f : ℕ → β → β)
(seed : β)
- :
Val.scf.for.loop f (n + 1) n (f 0 seed) = Val.scf.for.loop f (n + 1) (n + 1) seed
theorem
Val.scf.for.peel_end
{β : Sort u_1}
@@ -159,21 +159,21 @@
(f : ℕ → β → β)
(seed : β)
- :
Val.scf.for.loop f (n + 1) 0 (f n seed) = f n (Val.scf.for.loop f n 0 seed)
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theorem
Val.Tensor1d.tile
{α : Type}
@@ -190,36 +190,36 @@
let mapped_tile := Val.Tensor1d.map f tile;
let out := Val.Tensor1d.insertslice acc (i * 4) mapped_tile;
out)
- Val.Tensor1d.empty
- add: Val.ArithScfLinalg.Op
- const: ℕ → Val.ArithScfLinalg.Op
- sub: Val.ArithScfLinalg.Op
- map1d: Val.ArithScfLinalg.Op
- extract1d: Val.ArithScfLinalg.Op
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- int: Val.ArithScfLinalg.BaseType
- nat: Val.ArithScfLinalg.BaseType
- tensor1d: Val.ArithScfLinalg.BaseType
- tensor2d: Val.ArithScfLinalg.BaseType
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instance
+ Val.Tensor1d.empty
- add: Val.ArithScfLinalg.Op
- const: ℕ → Val.ArithScfLinalg.Op
- sub: Val.ArithScfLinalg.Op
- map1d: Val.ArithScfLinalg.Op
- extract1d: Val.ArithScfLinalg.Op
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- int: Val.ArithScfLinalg.BaseType
- nat: Val.ArithScfLinalg.BaseType
- tensor1d: Val.ArithScfLinalg.BaseType
- tensor2d: Val.ArithScfLinalg.BaseType
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- Val.ArithScfLinalg.instDecidableEqBaseType x y = if h : Val.ArithScfLinalg.BaseType.toCtorIdx x = Val.ArithScfLinalg.BaseType.toCtorIdx y then isTrue (_ : x = y) - else isFalse (_ : x = y → False)
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@[inline]
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def
Val.ArithScfLinalg.eval
(o : Val.ArithScfLinalg.Op)
(arg : ⟦Val.ArithScfLinalg.argUserType o⟧)
(_rgn : ⟦Val.ArithScfLinalg.rgnDom o⟧ → ⟦Val.ArithScfLinalg.rgnCod o⟧)
- :
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- Val.ArithScfLinalg.dsl_opMap1d = Lean.ParserDescr.node `Val.ArithScfLinalg.dsl_opMap1d 1024 (Lean.ParserDescr.symbol "map1d")
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Equations
- Val.ArithScfLinalg.dsl_opExtract1d = Lean.ParserDescr.node `Val.ArithScfLinalg.dsl_opExtract1d 1024 (Lean.ParserDescr.symbol "extract1d")
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- Val.ArithScfLinalg.dsl_opMap1d = Lean.ParserDescr.node `Val.ArithScfLinalg.dsl_opMap1d 1024 (Lean.ParserDescr.symbol "map1d")
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Equations
- Val.ArithScfLinalg.dsl_opExtract1d = Lean.ParserDescr.node `Val.ArithScfLinalg.dsl_opExtract1d 1024 (Lean.ParserDescr.symbol "extract1d")
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theorem
Val.ArithScfLinalg.extract_map
{v : ℕ}
:
∀ {c : SSA.Context Val.ArithScfLinalg.BaseType} {e : SSA.EnvC c}
diff --git a/SSA/Projects/Tensor2D/Tensor2D.html b/SSA/Projects/Tensor2D/Tensor2D.html
index ed352388d..b18b49fa2 100644
--- a/SSA/Projects/Tensor2D/Tensor2D.html
+++ b/SSA/Projects/Tensor2D/Tensor2D.html
@@ -1,26 +1,26 @@
SSA.Projects.Tensor2D.Tensor2D
-
+
Documentation
SSA.Projects.Tensor2D.Tensor2D
@[inline]
+ @[inline]
Type of tensor dimensions and indexes into tensor dimensions.
NOTE: see interaction with linarith where we need to unfold Index into ℕ
-https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549
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Equations
- Tensor2d'.error α = { dim₀ := 0, dim₁ := 0, mat := ↑Matrix.of fun x _y => Fin.elim0 x }
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- Tensor2d'.error α = { dim₀ := 0, dim₁ := 0, mat := ↑Matrix.of fun x _y => Fin.elim0 x }
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- Tensor2d'.transpose t = { dim₀ := t.dim₁, dim₁ := t.dim₀, mat := Matrix.transpose t.mat }
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- Tensor2d'.transpose t = { dim₀ := t.dim₁, dim₁ := t.dim₀, mat := Matrix.transpose t.mat }
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- Tensor2d'.map f t = { dim₀ := t.dim₀, dim₁ := t.dim₁, mat := Matrix.map t.mat f }
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- Tensor2d'.map f t = { dim₀ := t.dim₀, dim₁ := t.dim₁, mat := Matrix.map t.mat f }
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theorem
Tensor2d'.map_functorial
{β : Type}
@@ -42,14 +42,14 @@
(f : α → β)
(t : Tensor2d' α)
- :
Tensor2d'.map (g ∘ f) t = Tensor2d'.map g (Tensor2d'.map f t)
theorem
Tensor2d'.map_error
{α : Type}
{β : Type}
(f : α → β)
- :
Tensor2d'.map f (Tensor2d'.error α) = Tensor2d'.error β
Equations
- Tensor2d'.fill v t = Tensor2d'.map (const v) t
Instances For
theorem
Tensor2d'.map_extract
{α : Type}
@@ -97,7 +97,7 @@
(t : Tensor2d' α)
(f : α → β)
- :
Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
This implies fill_extract
theorem
+ :
Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
This implies fill_extract
theorem
Tensor2d'.fill_extract
{α : Type}
@@ -114,36 +114,36 @@
(t : Tensor2d' α)
(v : β)
- :
Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
Equations
- instDecidableEqBaseType x y = if h : BaseType.toCtorIdx x = BaseType.toCtorIdx y then isTrue (_ : x = y) else isFalse (_ : x = y → False)
Equations
- instInhabitedBaseType = { default := BaseType.int }
def
+ :
Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
Equations
- instDecidableEqBaseType x y = if h : BaseType.toCtorIdx x = BaseType.toCtorIdx y then isTrue (_ : x = y) else isFalse (_ : x = y → False)
Equations
- instInhabitedBaseType = { default := BaseType.int }
Equations
- BaseType.toType x = match x with | BaseType.int => ℤ | BaseType.ix => Index - | BaseType.tensor2d => Tensor2d' ℤ
Instances For
Equations
- instGoedelBaseType = { toType := BaseType.toType }
Equations
- instGoedelBaseType = { toType := BaseType.toType }
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- dsl_op2Map2d = Lean.ParserDescr.node `dsl_op2Map2d 1024 (Lean.ParserDescr.symbol "map2d")
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- dsl_op2Fill2d = Lean.ParserDescr.node `dsl_op2Fill2d 1024 (Lean.ParserDescr.symbol "fill2d")
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- dsl_op2Extract2d = Lean.ParserDescr.node `dsl_op2Extract2d 1024 (Lean.ParserDescr.symbol "extract2d")
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- dsl_op2Map2d = Lean.ParserDescr.node `dsl_op2Map2d 1024 (Lean.ParserDescr.symbol "map2d")
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Equations
- dsl_op2Fill2d = Lean.ParserDescr.node `dsl_op2Fill2d 1024 (Lean.ParserDescr.symbol "fill2d")
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- dsl_op2Extract2d = Lean.ParserDescr.node `dsl_op2Extract2d 1024 (Lean.ParserDescr.symbol "extract2d")
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theorem
map_fill_2d :
∀ {c : SSA.Context BaseType} {e : SSA.EnvC c} (t : Tensor2d' ℤ) (sz₀ sz₁ ix₀ ix₁ : Index) (i : ℤ),
SSA.TSSA.eval
(SSA.TSSA.assign 9999 SSA.TSSA.unit
diff --git a/declarations/declaration-data-SSA.Core.EDSLNested.bmp b/declarations/declaration-data-SSA.Core.EDSLNested.bmp
index b3af986c6..9a6d777a7 100644
--- a/declarations/declaration-data-SSA.Core.EDSLNested.bmp
+++ b/declarations/declaration-data-SSA.Core.EDSLNested.bmp
@@ -1 +1 @@
-{"name":"SSA.Core.EDSLNested","instances":[{"typeNames":["Eq","EDSL2.ElabVar"],"name":"EDSL2.instDecidableEqElabVar","className":"Decidable"},{"typeNames":["EDSL2.ElabVar"],"name":"EDSL2.instInhabitedElabVar","className":"Inhabited"},{"typeNames":["EDSL2.ElabVar"],"name":"EDSL2.instToStringElabVar","className":"ToString"},{"typeNames":["EDSL2.StmtBuilder"],"name":"EDSL2.instInhabitedStmtBuilder","className":"Inhabited"},{"typeNames":["EDSL2.StmtBuilder"],"name":"EDSL2.instToStringStmtBuilder","className":"ToString"}],"imports":["Init","SSA.Core.WellTypedFramework"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L249-L249","name":"EDSL2.«term[dsl_region2|_]»","line":249,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_region2|_]»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L242-L242","name":"EDSL2.«term[dsl_bb2|_]»","line":242,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_bb2|_]»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L205-L239","name":"EDSL2.elabStxExpr","line":205,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStxExpr","doc":"insert intermediate let bindings to produce "},"header":" = `. This function is used\ninternally by tactics like `congr` and `simp` to apply equalities inside\nsubterms.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L359-L360","name":"congr","line":359,"kind":"theorem","docLink":"./Init/Prelude.html#congr","doc":"Congruence in both function and argument. If `f₁ = f₂` and `a₁ = a₂` then\n`f₁ a₁ = f₂ a₂`. This only works for nondependent functions; the theorem\nstatement is more complex in the dependent case.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"cond_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L145-L145","name":"cond_true","line":145,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_true","doc":""},"cond_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L146-L146","name":"cond_false","line":146,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_false","doc":""},"cond":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L971-L974","name":"cond","line":971,"kind":"def","docLink":"./Init/Prelude.html#cond","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"compareOfLessAndEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L21-L24","name":"compareOfLessAndEq","line":21,"kind":"def","docLink":"./Init/Data/Ord.html#compareOfLessAndEq","doc":""},"coeNotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L284-L291","name":"coeNotation","line":284,"kind":"def","docLink":"./Init/Coe.html#coeNotation","doc":"`↑x` represents a coercion, which converts `x` of type `α` to type `β`, using\ntypeclasses to resolve a suitable conversion function. You can often leave the\n`↑` off entirely, since coercion is triggered implicitly whenever there is a\ntype error, but in ambiguous cases it can be useful to use `↑` to disambiguate\nbetween e.g. `↑x + ↑y` and `↑(x + y)`.\n"},"cdotTk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L376-L376","name":"cdotTk","line":376,"kind":"def","docLink":"./Init/NotationExtra.html#cdotTk","doc":""},"cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L377-L378","name":"cdot","line":377,"kind":"def","docLink":"./Init/NotationExtra.html#cdot","doc":"`· tac` focuses on the main goal and tries to solve it using `tac`, or else fails. "},"cast_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L652-L653","name":"cast_heq","line":652,"kind":"theorem","docLink":"./Init/Core.html#cast_heq","doc":""},"cast_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L553-L554","name":"cast_eq","line":553,"kind":"theorem","docLink":"./Init/Core.html#cast_eq","doc":""},"cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L336-L337","name":"cast","line":336,"kind":"def","docLink":"./Init/Prelude.html#cast","doc":"Cast across a type equality. If `h : α = β` is an equality of types, and\n`a : α`, then `a : β` will usually not typecheck directly, but this function\nwill allow you to work around this and embed `a` in type `β` as `cast h a : β`.\n\nIt is best to avoid this function if you can, because it is more complicated\nto reason about terms containing casts, but if the types don't match up\ndefinitionally sometimes there isn't anything better you can do.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"calcTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L134-L171","name":"calcTactic","line":134,"kind":"def","docLink":"./Init/NotationExtra.html#calcTactic","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the tactic mode variant,\nwhich supports an additional feature: it works even if the goal is `a = z'`\nfor some other `z'`; in this case it will not close the goal but will instead\nleave a subgoal proving `z = z'`.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"calcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L95-L95","name":"calcSteps","line":95,"kind":"def","docLink":"./Init/NotationExtra.html#calcSteps","doc":""},"calcStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L94-L94","name":"calcStep","line":94,"kind":"def","docLink":"./Init/NotationExtra.html#calcStep","doc":""},"calcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L92-L92","name":"calcFirstStep","line":92,"kind":"def","docLink":"./Init/NotationExtra.html#calcFirstStep","doc":""},"calc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L97-L132","name":"calc","line":97,"kind":"def","docLink":"./Init/NotationExtra.html#calc","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols, especially on longer:\nidentifiers:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the term mode variant.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"boolToSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L298-L299","name":"boolToSort","line":298,"kind":"instance","docLink":"./Init/Coe.html#boolToSort","doc":""},"boolToProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L295-L296","name":"boolToProp","line":295,"kind":"instance","docLink":"./Init/Coe.html#boolToProp","doc":""},"boolIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L410-L412","name":"boolIfThenElse","line":410,"kind":"def","docLink":"./Init/Notation.html#boolIfThenElse","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L47-L50","name":"bool","line":47,"kind":"def","docLink":"./Init/Control/Basic.html#bool","doc":""},"bne_self_eq_false'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L152-L152","name":"bne_self_eq_false'","line":152,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false'","doc":""},"bne_self_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L151-L151","name":"bne_self_eq_false","line":151,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false","doc":""},"bne_iff_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L160-L161","name":"bne_iff_ne","line":160,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_iff_ne","doc":""},"bne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L482-L483","name":"bne","line":482,"kind":"def","docLink":"./Init/Core.html#bne","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming 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: Unit` is the canonical element of the unit type.\nIt can also be written as `()`.\n"},"Unit.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L85-L85","name":"Unit.sizeOf","line":85,"kind":"theorem","docLink":"./Init/SizeOf.html#Unit.sizeOf","doc":""},"Unit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L129-L129","name":"Unit","line":129,"kind":"def","docLink":"./Init/Prelude.html#Unit","doc":"The unit type, the canonical type with one element, named `unit` or `()`.\nIn other words, it describes only a single value, which consists of said constructor applied\nto no arguments whatsoever.\nThe `Unit` type is similar to `void` in languages derived from C.\n\n`Unit` is actually defined as `PUnit.{0}` where `PUnit` is the universe\npolymorphic version. The `Unit` should be preferred over `PUnit` where possible to avoid\nunnecessary universe parameters.\n\nIn functional programming, `Unit` is the return type of things that \"return\nnothing\", since a type with one element conveys no additional information.\nWhen programming with monads, the type `m Unit` represents an action that has\nsome side effects but does not return a value, while `m α` would be an action\nthat has side effects and returns a value of type `α`.\n"},"USize.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L312-L312","name":"USize.xor","line":312,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.xor","doc":""},"USize.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1991-L1991","name":"USize.val","line":1991,"kind":"def","docLink":"./Init/Prelude.html#USize.val","doc":"Unpack a `USize` as a `Nat` less than `USize.size`.\nThis function is overridden with a native implementation. "},"USize.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3363-L3372","name":"USize.toUInt64","line":3363,"kind":"def","docLink":"./Init/Prelude.html#USize.toUInt64","doc":"Upcast a `USize` to a `UInt64`.\nThis is lossless because `USize.size` is either `2^32` or `2^64`.\nThis function is overridden with a native implementation.\n"},"USize.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L320-L320","name":"USize.toUInt32","line":320,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.toUInt32","doc":""},"USize.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L294-L294","name":"USize.toNat","line":294,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.toNat","doc":""},"USize.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L298-L298","name":"USize.sub","line":298,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.sub","doc":""},"USize.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L26-L27","name":"USize.sizeOf","line":26,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#USize.sizeOf","doc":""},"USize.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1973-L1973","name":"USize.size","line":1973,"kind":"def","docLink":"./Init/Prelude.html#USize.size","doc":"The size of type `UInt16`, that is, `2^System.Platform.numBits`, which may\nbe either `2^32` or `2^64` depending on the platform's architecture.\n"},"USize.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L316-L316","name":"USize.shiftRight","line":316,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftRight","doc":""},"USize.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L314-L314","name":"USize.shiftLeft","line":314,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftLeft","doc":""},"USize.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2001-L2003","name":"USize.ofNatCore","line":2001,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNatCore","doc":"Pack a `Nat` less than `USize.size` into a `USize`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2029-L2035","name":"USize.ofNat32","line":2029,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNat32","doc":"Upcast a `Nat` less than `2^32` to a `USize`.\nThis is lossless because `USize.size` is either `2^32` or `2^64`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L291-L291","name":"USize.ofNat","line":291,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.ofNat","doc":""},"USize.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L300-L300","name":"USize.mul","line":300,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mul","doc":""},"USize.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L362-L363","name":"USize.modn_lt","line":362,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#USize.modn_lt","doc":""},"USize.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L306-L306","name":"USize.modn","line":306,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.modn","doc":""},"USize.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L304-L304","name":"USize.mod","line":304,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mod","doc":""},"USize.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"USize.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#USize.mk","doc":""},"USize.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L322-L322","name":"USize.lt","line":322,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lt","doc":""},"USize.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L310-L310","name":"USize.lor","line":310,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lor","doc":""},"USize.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L22-L22","name":"USize.log2","line":22,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#USize.log2","doc":""},"USize.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L323-L323","name":"USize.le","line":323,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.le","doc":""},"USize.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L308-L308","name":"USize.land","line":308,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.land","doc":""},"USize.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L302-L302","name":"USize.div","line":302,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.div","doc":""},"USize.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L347-L349","name":"USize.decLt","line":347,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLt","doc":""},"USize.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L353-L355","name":"USize.decLe","line":353,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLe","doc":""},"USize.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2011-L2014","name":"USize.decEq","line":2011,"kind":"def","docLink":"./Init/Prelude.html#USize.decEq","doc":"Decides equality on `USize`.\nThis function is overridden with a native implementation.\n"},"USize.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L336-L336","name":"USize.complement","line":336,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.complement","doc":""},"USize.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L296-L296","name":"USize.add","line":296,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.add","doc":""},"USize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1988-L1991","name":"USize","line":1988,"kind":"structure","docLink":"./Init/Prelude.html#USize","doc":"A `USize` is an unsigned integer with the size of a word\nfor the platform's architecture.\n\nFor example, if running on a 32-bit machine, USize is equivalent to UInt32.\nOr on a 64-bit machine, UInt64.\n"},"ULift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L791-L791","name":"ULift.up_down","line":791,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.up_down","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L787-L787","name":"ULift.up","line":787,"kind":"ctor","docLink":"./Init/Prelude.html#ULift.up","doc":"Lift a value into `ULift α` "},"ULift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L794-L794","name":"ULift.down_up","line":794,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.down_up","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L788-L788","name":"ULift.down","line":788,"kind":"def","docLink":"./Init/Prelude.html#ULift.down","doc":"Extract a value from `ULift α` "},"ULift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L786-L788","name":"ULift","line":786,"kind":"structure","docLink":"./Init/Prelude.html#ULift","doc":"Universe lifting operation from a lower `Type` universe to a higher one.\nTo express this using level variables, the input is `Type s` and the output is\n`Type (max s r)`, so if `s ≤ r` then the latter is (definitionally) `Type r`.\n\nThe universe variable `r` is written first so that `ULift.{r} α` can be used\nwhen `s` can be inferred from the type of `α`.\n"},"UInt8.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L34-L34","name":"UInt8.xor","line":34,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.xor","doc":""},"UInt8.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1786-L1786","name":"UInt8.val","line":1786,"kind":"def","docLink":"./Init/Prelude.html#UInt8.val","doc":"Unpack a `UInt8` as a `Nat` less than `2^8`.\nThis function is overridden with a native implementation. "},"UInt8.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L241-L241","name":"UInt8.toUInt64","line":241,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt64","doc":""},"UInt8.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L183-L183","name":"UInt8.toUInt32","line":183,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt32","doc":""},"UInt8.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L107-L107","name":"UInt8.toUInt16","line":107,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt16","doc":""},"UInt8.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L16-L16","name":"UInt8.toNat","line":16,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toNat","doc":""},"UInt8.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L20-L20","name":"UInt8.sub","line":20,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.sub","doc":""},"UInt8.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L14-L15","name":"UInt8.sizeOf","line":14,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt8.sizeOf","doc":""},"UInt8.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1777-L1777","name":"UInt8.size","line":1777,"kind":"def","docLink":"./Init/Prelude.html#UInt8.size","doc":"The size of type `UInt8`, that is, `2^8 = 256`. "},"UInt8.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L38-L38","name":"UInt8.shiftRight","line":38,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftRight","doc":""},"UInt8.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L36-L36","name":"UInt8.shiftLeft","line":36,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftLeft","doc":""},"UInt8.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1796-L1797","name":"UInt8.ofNatCore","line":1796,"kind":"def","docLink":"./Init/Prelude.html#UInt8.ofNatCore","doc":"Pack a `Nat` less than `2^8` into a `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L13-L13","name":"UInt8.ofNat","line":13,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.ofNat","doc":""},"UInt8.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L22-L22","name":"UInt8.mul","line":22,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mul","doc":""},"UInt8.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L28-L28","name":"UInt8.modn","line":28,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.modn","doc":""},"UInt8.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L26-L26","name":"UInt8.mod","line":26,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mod","doc":""},"UInt8.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt8.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt8.mk","doc":""},"UInt8.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L39-L39","name":"UInt8.lt","line":39,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lt","doc":""},"UInt8.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L32-L32","name":"UInt8.lor","line":32,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lor","doc":""},"UInt8.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L10-L10","name":"UInt8.log2","line":10,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt8.log2","doc":""},"UInt8.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L40-L40","name":"UInt8.le","line":40,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.le","doc":""},"UInt8.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L30-L30","name":"UInt8.land","line":30,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.land","doc":""},"UInt8.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L24-L24","name":"UInt8.div","line":24,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.div","doc":""},"UInt8.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L64-L66","name":"UInt8.decLt","line":64,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLt","doc":""},"UInt8.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L70-L72","name":"UInt8.decLe","line":70,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLe","doc":""},"UInt8.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1805-L1808","name":"UInt8.decEq","line":1805,"kind":"def","docLink":"./Init/Prelude.html#UInt8.decEq","doc":"Decides equality on `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L53-L53","name":"UInt8.complement","line":53,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.complement","doc":""},"UInt8.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L18-L18","name":"UInt8.add","line":18,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.add","doc":""},"UInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1783-L1786","name":"UInt8","line":1783,"kind":"structure","docLink":"./Init/Prelude.html#UInt8","doc":"The type of unsigned 8-bit integers. This type has special support in the\ncompiler to make it actually 8 bits rather than wrapping a `Nat`.\n"},"UInt64.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L227-L227","name":"UInt64.xor","line":227,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.xor","doc":""},"UInt64.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1940-L1940","name":"UInt64.val","line":1940,"kind":"def","docLink":"./Init/Prelude.html#UInt64.val","doc":"Unpack a `UInt64` as a `Nat` less than `2^64`.\nThis function is overridden with a native implementation. "},"UInt64.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3355-L3355","name":"UInt64.toUSize","line":3355,"kind":"opaque","docLink":"./Init/Prelude.html#UInt64.toUSize","doc":"Converts a `UInt64` to a `USize` by reducing modulo `USize.size`. "},"UInt64.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L235-L235","name":"UInt64.toUInt8","line":235,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt8","doc":""},"UInt64.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L239-L239","name":"UInt64.toUInt32","line":239,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt32","doc":""},"UInt64.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L237-L237","name":"UInt64.toUInt16","line":237,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt16","doc":""},"UInt64.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L209-L209","name":"UInt64.toNat","line":209,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toNat","doc":""},"UInt64.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L107-L107","name":"UInt64.toFloat","line":107,"kind":"opaque","docLink":"./Init/Data/Float.html#UInt64.toFloat","doc":""},"UInt64.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L213-L213","name":"UInt64.sub","line":213,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.sub","doc":""},"UInt64.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L23-L24","name":"UInt64.sizeOf","line":23,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt64.sizeOf","doc":""},"UInt64.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1932-L1932","name":"UInt64.size","line":1932,"kind":"def","docLink":"./Init/Prelude.html#UInt64.size","doc":"The size of type `UInt64`, that is, `2^64 = 18446744073709551616`. "},"UInt64.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L231-L231","name":"UInt64.shiftRight","line":231,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftRight","doc":""},"UInt64.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L229-L229","name":"UInt64.shiftLeft","line":229,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftLeft","doc":""},"UInt64.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1950-L1951","name":"UInt64.ofNatCore","line":1950,"kind":"def","docLink":"./Init/Prelude.html#UInt64.ofNatCore","doc":"Pack a `Nat` less than `2^64` into a `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L206-L206","name":"UInt64.ofNat","line":206,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.ofNat","doc":""},"UInt64.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L215-L215","name":"UInt64.mul","line":215,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mul","doc":""},"UInt64.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L221-L221","name":"UInt64.modn","line":221,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.modn","doc":""},"UInt64.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L219-L219","name":"UInt64.mod","line":219,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mod","doc":""},"UInt64.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt64.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt64.mk","doc":""},"UInt64.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L232-L232","name":"UInt64.lt","line":232,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lt","doc":""},"UInt64.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L225-L225","name":"UInt64.lor","line":225,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lor","doc":""},"UInt64.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L19-L19","name":"UInt64.log2","line":19,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt64.log2","doc":""},"UInt64.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L233-L233","name":"UInt64.le","line":233,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.le","doc":""},"UInt64.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L223-L223","name":"UInt64.land","line":223,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.land","doc":""},"UInt64.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L217-L217","name":"UInt64.div","line":217,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.div","doc":""},"UInt64.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L272-L274","name":"UInt64.decLt","line":272,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLt","doc":""},"UInt64.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L278-L280","name":"UInt64.decLe","line":278,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLe","doc":""},"UInt64.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1959-L1962","name":"UInt64.decEq","line":1959,"kind":"def","docLink":"./Init/Prelude.html#UInt64.decEq","doc":"Decides equality on `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L258-L258","name":"UInt64.complement","line":258,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.complement","doc":""},"UInt64.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L211-L211","name":"UInt64.add","line":211,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.add","doc":""},"UInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1937-L1940","name":"UInt64","line":1937,"kind":"structure","docLink":"./Init/Prelude.html#UInt64","doc":"The type of unsigned 64-bit integers. This type has special support in the\ncompiler to make it actually 64 bits rather than wrapping a `Nat`.\n"},"UInt32.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L173-L173","name":"UInt32.xor","line":173,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.xor","doc":""},"UInt32.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1864-L1864","name":"UInt32.val","line":1864,"kind":"def","docLink":"./Init/Prelude.html#UInt32.val","doc":"Unpack a `UInt32` as a `Nat` less than `2^32`.\nThis function is overridden with a native implementation. "},"UInt32.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L318-L318","name":"UInt32.toUSize","line":318,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUSize","doc":""},"UInt32.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L179-L179","name":"UInt32.toUInt8","line":179,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt8","doc":""},"UInt32.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L245-L245","name":"UInt32.toUInt64","line":245,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt64","doc":""},"UInt32.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L181-L181","name":"UInt32.toUInt16","line":181,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt16","doc":""},"UInt32.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1882-L1882","name":"UInt32.toNat","line":1882,"kind":"def","docLink":"./Init/Prelude.html#UInt32.toNat","doc":"Unpack a `UInt32` as a `Nat`.\nThis function is overridden with a native implementation.\n"},"UInt32.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L159-L159","name":"UInt32.sub","line":159,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.sub","doc":""},"UInt32.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L20-L21","name":"UInt32.sizeOf","line":20,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt32.sizeOf","doc":""},"UInt32.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1855-L1855","name":"UInt32.size","line":1855,"kind":"def","docLink":"./Init/Prelude.html#UInt32.size","doc":"The size of type `UInt32`, that is, `2^32 = 4294967296`. "},"UInt32.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L177-L177","name":"UInt32.shiftRight","line":177,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftRight","doc":""},"UInt32.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L175-L175","name":"UInt32.shiftLeft","line":175,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftLeft","doc":""},"UInt32.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1874-L1875","name":"UInt32.ofNatCore","line":1874,"kind":"def","docLink":"./Init/Prelude.html#UInt32.ofNatCore","doc":"Pack a `Nat` less than `2^32` into a `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L154-L154","name":"UInt32.ofNat'","line":154,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat'","doc":""},"UInt32.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L152-L152","name":"UInt32.ofNat","line":152,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat","doc":""},"UInt32.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L161-L161","name":"UInt32.mul","line":161,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mul","doc":""},"UInt32.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L167-L167","name":"UInt32.modn","line":167,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.modn","doc":""},"UInt32.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L165-L165","name":"UInt32.mod","line":165,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mod","doc":""},"UInt32.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt32.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt32.mk","doc":""},"UInt32.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L171-L171","name":"UInt32.lor","line":171,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.lor","doc":""},"UInt32.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L16-L16","name":"UInt32.log2","line":16,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt32.log2","doc":""},"UInt32.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L169-L169","name":"UInt32.land","line":169,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.land","doc":""},"UInt32.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2048-L2049","name":"UInt32.isValidChar","line":2048,"kind":"def","docLink":"./Init/Prelude.html#UInt32.isValidChar","doc":"A `UInt32` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"UInt32.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L163-L163","name":"UInt32.div","line":163,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.div","doc":""},"UInt32.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1912-L1914","name":"UInt32.decLt","line":1912,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLt","doc":"Decides less-equal on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1922-L1924","name":"UInt32.decLe","line":1922,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLe","doc":"Decides less-than on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1890-L1893","name":"UInt32.decEq","line":1890,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decEq","doc":"Decides equality on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L196-L196","name":"UInt32.complement","line":196,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.complement","doc":""},"UInt32.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L157-L157","name":"UInt32.add","line":157,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.add","doc":""},"UInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1861-L1864","name":"UInt32","line":1861,"kind":"structure","docLink":"./Init/Prelude.html#UInt32","doc":"The type of unsigned 32-bit integers. This type has special support in the\ncompiler to make it actually 32 bits rather than wrapping a `Nat`.\n"},"UInt16.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L101-L101","name":"UInt16.xor","line":101,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.xor","doc":""},"UInt16.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1825-L1825","name":"UInt16.val","line":1825,"kind":"def","docLink":"./Init/Prelude.html#UInt16.val","doc":"Unpack a `UInt16` as a `Nat` less than `2^16`.\nThis function is overridden with a native implementation. "},"UInt16.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L105-L105","name":"UInt16.toUInt8","line":105,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt8","doc":""},"UInt16.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L243-L243","name":"UInt16.toUInt64","line":243,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt64","doc":""},"UInt16.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L185-L185","name":"UInt16.toUInt32","line":185,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt32","doc":""},"UInt16.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L83-L83","name":"UInt16.toNat","line":83,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toNat","doc":""},"UInt16.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L87-L87","name":"UInt16.sub","line":87,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.sub","doc":""},"UInt16.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L17-L18","name":"UInt16.sizeOf","line":17,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt16.sizeOf","doc":""},"UInt16.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1816-L1816","name":"UInt16.size","line":1816,"kind":"def","docLink":"./Init/Prelude.html#UInt16.size","doc":"The size of type `UInt16`, that is, `2^16 = 65536`. "},"UInt16.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L109-L109","name":"UInt16.shiftRight","line":109,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftRight","doc":""},"UInt16.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L103-L103","name":"UInt16.shiftLeft","line":103,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftLeft","doc":""},"UInt16.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1835-L1836","name":"UInt16.ofNatCore","line":1835,"kind":"def","docLink":"./Init/Prelude.html#UInt16.ofNatCore","doc":"Pack a `Nat` less than `2^16` into a `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L80-L80","name":"UInt16.ofNat","line":80,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.ofNat","doc":""},"UInt16.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L89-L89","name":"UInt16.mul","line":89,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mul","doc":""},"UInt16.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L95-L95","name":"UInt16.modn","line":95,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.modn","doc":""},"UInt16.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L93-L93","name":"UInt16.mod","line":93,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mod","doc":""},"UInt16.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt16.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt16.mk","doc":""},"UInt16.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L110-L110","name":"UInt16.lt","line":110,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lt","doc":""},"UInt16.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L99-L99","name":"UInt16.lor","line":99,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lor","doc":""},"UInt16.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L13-L13","name":"UInt16.log2","line":13,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt16.log2","doc":""},"UInt16.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L111-L111","name":"UInt16.le","line":111,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.le","doc":""},"UInt16.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L97-L97","name":"UInt16.land","line":97,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.land","doc":""},"UInt16.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L91-L91","name":"UInt16.div","line":91,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.div","doc":""},"UInt16.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L136-L138","name":"UInt16.decLt","line":136,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLt","doc":""},"UInt16.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L142-L144","name":"UInt16.decLe","line":142,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLe","doc":""},"UInt16.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1844-L1847","name":"UInt16.decEq","line":1844,"kind":"def","docLink":"./Init/Prelude.html#UInt16.decEq","doc":"Decides equality on `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L125-L125","name":"UInt16.complement","line":125,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.complement","doc":""},"UInt16.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L85-L85","name":"UInt16.add","line":85,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.add","doc":""},"UInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1822-L1825","name":"UInt16","line":1822,"kind":"structure","docLink":"./Init/Prelude.html#UInt16","doc":"The type of unsigned 16-bit integers. This type has special support in the\ncompiler to make it actually 16 bits rather than wrapping a `Nat`.\n"},"TypeName.typeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Dynamic.lean#L54-L54","name":"TypeName.typeName","line":54,"kind":"opaque","docLink":"./Init/Dynamic.html#TypeName.typeName","doc":"Returns a declaration name of the type.\n"},"TypeName.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Dynamic.lean#L44-L45","name":"TypeName.mk","line":44,"kind":"def","docLink":"./Init/Dynamic.html#TypeName.mk","doc":"Creates a `TypeName` instance.\n\nFor safety, it is required that the constant `typeName` is definitionally equal\nto `α`.\n"},"TypeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Dynamic.lean#L33-L34","name":"TypeName","line":33,"kind":"class","docLink":"./Init/Dynamic.html#TypeName","doc":"Dynamic type name information.\nTypes with an instance of `TypeName` can be stored in an `Dynamic`.\nThe type class contains the declaration name of the type,\nwhich must not have any universe parameters\nand be of type `Sort ..` (i.e., monomorphic).\n\nThe preferred way to declare instances of this type is using the derive\nhandler, which will internally use the unsafe `TypeName.mk` function.\n\nMorally, this is the same as:\n```lean\nclass TypeName (α : Type) where unsafe mk ::\n typeName : Name\n```\n"},"True.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L177-L179","name":"True.intro","line":177,"kind":"ctor","docLink":"./Init/Prelude.html#True.intro","doc":"`True` is true, and `True.intro` (or more commonly, `trivial`)\nis the proof. "},"True":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L176-L179","name":"True","line":176,"kind":"inductive","docLink":"./Init/Prelude.html#True","doc":"`True` is a proposition and has only an introduction rule, `True.intro : True`.\nIn other words, `True` is simply true, and has a canonical proof, `True.intro`\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Trans.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1124-L1124","name":"Trans.trans","line":1124,"kind":"def","docLink":"./Init/Prelude.html#Trans.trans","doc":"Compose two proofs by transitivity, generalized over the relations involved. "},"Trans.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1122-L1122","name":"Trans.mk","line":1122,"kind":"ctor","docLink":"./Init/Prelude.html#Trans.mk","doc":""},"Trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1122-L1124","name":"Trans","line":1122,"kind":"class","docLink":"./Init/Prelude.html#Trans","doc":"Transitive chaining of proofs, used e.g. by `calc`.\n\nIt takes two relations `r` and `s` as \"input\", and produces an \"output\"\nrelation `t`, with the property that `r a b` and `s b c` implies `t a c`.\nThe `calc` tactic uses this so that when it sees a chain with `a ≤ b` and `b < c`\nit knows that this should be a proof of `a < c` because there is an instance\n`Trans (·≤·) (·<·) (·<·)`.\n"},"ToString.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L20-L20","name":"ToString.toString","line":20,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#ToString.toString","doc":""},"ToString.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L19-L19","name":"ToString.mk","line":19,"kind":"ctor","docLink":"./Init/Data/ToString/Basic.html#ToString.mk","doc":""},"ToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L19-L20","name":"ToString","line":19,"kind":"class","docLink":"./Init/Data/ToString/Basic.html#ToString","doc":""},"ToStream.toStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Stream.lean#L44-L44","name":"ToStream.toStream","line":44,"kind":"def","docLink":"./Init/Data/Stream.html#ToStream.toStream","doc":""},"ToStream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Stream.lean#L43-L43","name":"ToStream.mk","line":43,"kind":"ctor","docLink":"./Init/Data/Stream.html#ToStream.mk","doc":""},"ToStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Stream.lean#L43-L44","name":"ToStream","line":43,"kind":"class","docLink":"./Init/Data/Stream.html#ToStream","doc":"Streams are used to implement parallel `for` statements.\nExample:\n```\nfor x in xs, y in ys do\n ...\n```\nis expanded into\n```\nlet mut s := toStream ys\nfor x in xs do\n match Stream.next? s with\n | none => break\n | some (y, s') =>\n s := s'\n ...\n```\n"},"ToBool.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L40-L40","name":"ToBool.toBool","line":40,"kind":"def","docLink":"./Init/Control/Basic.html#ToBool.toBool","doc":""},"ToBool.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L39-L39","name":"ToBool.mk","line":39,"kind":"ctor","docLink":"./Init/Control/Basic.html#ToBool.mk","doc":""},"ToBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L39-L40","name":"ToBool","line":39,"kind":"class","docLink":"./Init/Control/Basic.html#ToBool","doc":""},"Thunk.sizeOf_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L70-L71","name":"Thunk.sizeOf_eq","line":70,"kind":"theorem","docLink":"./Init/Core.html#Thunk.sizeOf_eq","doc":""},"Thunk.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L51-L52","name":"Thunk.pure","line":51,"kind":"def","docLink":"./Init/Core.html#Thunk.pure","doc":"Store a value in a thunk. Note that the value has already been computed, so there is no laziness. "},"Thunk.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L44-L44","name":"Thunk.mk","line":44,"kind":"ctor","docLink":"./Init/Core.html#Thunk.mk","doc":"Constructs a new thunk from a function `Unit → α`\nthat will be called when the thunk is forced. "},"Thunk.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L64-L65","name":"Thunk.map","line":64,"kind":"def","docLink":"./Init/Core.html#Thunk.map","doc":"Map a function over a thunk. "},"Thunk.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L60-L61","name":"Thunk.get","line":60,"kind":"def","docLink":"./Init/Core.html#Thunk.get","doc":"Forces a thunk to extract the value. This will cache the result,\nso a second call to the same function will return the value in O(1)\ninstead of calling the stored getter function.\n"},"Thunk.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L67-L68","name":"Thunk.bind","line":67,"kind":"def","docLink":"./Init/Core.html#Thunk.bind","doc":"Constructs a thunk that applies `f` to the result of `x` when forced. "},"Thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L41-L46","name":"Thunk","line":41,"kind":"structure","docLink":"./Init/Core.html#Thunk","doc":"Thunks are \"lazy\" values that are evaluated when first accessed using `Thunk.get/map/bind`.\nThe value is then stored and not recomputed for all further accesses. "},"Tensor2d'.transpose_transpose":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"Tensor2d'.transpose":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"Tensor2d'.mk":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"Tensor2d'.mat":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"Tensor2d'.map_functorial":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"Tensor2d'.map_extract":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"Tensor2d'.map_error":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"Tensor2d'.map":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"Tensor2d'.fill_extract":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L78-L81","name":"Tensor2d'.fill_extract","line":78,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill_extract","doc":""},"Tensor2d'.fill":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"Tensor2d'.extract":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"Tensor2d'.error":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"Tensor2d'.dim₁":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"Tensor2d'.dim₀":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"Tensor2d'":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"Task.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L404-L405","name":"Task.spawn","line":404,"kind":"def","docLink":"./Init/Core.html#Task.spawn","doc":"`spawn fn : Task α` constructs and immediately launches a new task for\nevaluating the function `fn () : α` asynchronously.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L364-L364","name":"Task.pure","line":364,"kind":"ctor","docLink":"./Init/Core.html#Task.pure","doc":"`Task.pure (a : α)` constructs a task that is already resolved with value `a`. "},"Task.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L416-L417","name":"Task.map","line":416,"kind":"def","docLink":"./Init/Core.html#Task.map","doc":"`map f x` maps function `f` over the task `x`: that is, it constructs\n(and immediately launches) a new task which will wait for the value of `x` to\nbe available and then calls `f` on the result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L367-L367","name":"Task.get","line":367,"kind":"def","docLink":"./Init/Core.html#Task.get","doc":"If `task : Task α` then `task.get : α` blocks the current thread until the\nvalue is available, and then returns the result of the task. "},"Task.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L429-L430","name":"Task.bind","line":429,"kind":"def","docLink":"./Init/Core.html#Task.bind","doc":"`bind x f` does a monad \"bind\" operation on the task `x` with function `f`:\nthat is, it constructs (and immediately launches) a new task which will wait\nfor the value of `x` to be available and then calls `f` on the result,\nresulting in a new task which is then run for a result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.Priority.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L387-L387","name":"Task.Priority.max","line":387,"kind":"def","docLink":"./Init/Core.html#Task.Priority.max","doc":"The highest regular priority for spawned tasks: `8`.\n\nSpawning a task with a priority higher than `Task.Priority.max` is not an error but\nwill spawn a dedicated worker for the task, see `Task.Priority.dedicated`.\nRegular priority tasks are placed in a thread pool and worked on according to the priority order.\n"},"Task.Priority.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L378-L378","name":"Task.Priority.default","line":378,"kind":"def","docLink":"./Init/Core.html#Task.Priority.default","doc":"The default priority for spawned tasks, also the lowest priority: `0`. "},"Task.Priority.dedicated":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L394-L394","name":"Task.Priority.dedicated","line":394,"kind":"def","docLink":"./Init/Core.html#Task.Priority.dedicated","doc":"Any priority higher than `Task.Priority.max` will result in the task being scheduled\nimmediately on a dedicated thread. This is particularly useful for long-running and/or\nI/O-bound tasks since Lean will by default allocate no more non-dedicated workers\nthan the number of cores to reduce context switches.\n"},"Task.Priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L375-L375","name":"Task.Priority","line":375,"kind":"def","docLink":"./Init/Core.html#Task.Priority","doc":"Task priority. Tasks with higher priority will always be scheduled before ones with lower priority. "},"Task":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L362-L368","name":"Task","line":362,"kind":"structure","docLink":"./Init/Core.html#Task","doc":"`Task α` is a primitive for asynchronous computation.\nIt represents a computation that will resolve to a value of type `α`,\npossibly being computed on another thread. This is similar to `Future` in Scala,\n`Promise` in Javascript, and `JoinHandle` in Rust.\n\nThe tasks have an overridden representation in the runtime.\n"},"TUS":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"TC.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L144-L145","name":"TC.wf","line":144,"kind":"def","docLink":"./Init/WF.html#TC.wf","doc":""},"TC.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L949-L950","name":"TC.trans","line":949,"kind":"ctor","docLink":"./Init/Core.html#TC.trans","doc":"The transitive closure is transitive. "},"TC.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L947-L948","name":"TC.base","line":947,"kind":"ctor","docLink":"./Init/Core.html#TC.base","doc":"If `r a b` then `r⁺ a b`. This is the base case of the transitive closure. "},"TC.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L135-L142","name":"TC.accessible","line":135,"kind":"def","docLink":"./Init/WF.html#TC.accessible","doc":""},"TC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L946-L950","name":"TC","line":946,"kind":"inductive","docLink":"./Init/Core.html#TC","doc":"The transitive closure `r⁺` of a relation `r` is the smallest relation which is\ntransitive and contains `r`. `r⁺ a z` if and only if there exists a sequence\n`a r b r ... r z` of length at least 1 connecting `a` to `z`.\n"},"System.mkFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L114-L115","name":"System.mkFilePath","line":114,"kind":"def","docLink":"./Init/System/FilePath.html#System.mkFilePath","doc":""},"System.instToStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L22-L23","name":"System.instToStringFilePath","line":22,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instToStringFilePath","doc":""},"System.instReprFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L19-L20","name":"System.instReprFilePath","line":19,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instReprFilePath","doc":""},"System.instInhabitedFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L17-L17","name":"System.instInhabitedFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instInhabitedFilePath","doc":""},"System.instHashableFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L17-L17","name":"System.instHashableFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instHashableFilePath","doc":""},"System.instDecidableEqFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L17-L17","name":"System.instDecidableEqFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instDecidableEqFilePath","doc":""},"System.instCoeStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L117-L118","name":"System.instCoeStringFilePath","line":117,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instCoeStringFilePath","doc":""},"System.Uri.unescapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L83-L84","name":"System.Uri.unescapeUri","line":83,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.unescapeUri","doc":"Replaces all %HH Uri escapings in the given string with their\ncorresponding unicode code points. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.Uri.pathToUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L87-L97","name":"System.Uri.pathToUri","line":87,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.pathToUri","doc":"Convert the given FilePath to a \"file:///encodedpath\" Uri. "},"System.Uri.fileUriToPath?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L101-L112","name":"System.Uri.fileUriToPath?","line":101,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.fileUriToPath?","doc":"Convert the given uri to a FilePath stripping the 'file://' prefix,\nignoring the optional host name. "},"System.Uri.escapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L76-L77","name":"System.Uri.escapeUri","line":76,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.escapeUri","doc":"Replaces special characters in the given Uri with %HH Uri escapings. "},"System.Uri.UriEscape.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L15-L15","name":"System.Uri.UriEscape.zero","line":15,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.zero","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L69-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","line":69,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L61-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar","line":61,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar","doc":""},"System.Uri.UriEscape.rfc3986ReservedChars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L59-L59","name":"System.Uri.UriEscape.rfc3986ReservedChars","line":59,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.rfc3986ReservedChars","doc":""},"System.Uri.UriEscape.nine":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L16-L16","name":"System.Uri.UriEscape.nine","line":16,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.nine","doc":""},"System.Uri.UriEscape.letterf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L18-L18","name":"System.Uri.UriEscape.letterf","line":18,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterf","doc":""},"System.Uri.UriEscape.lettera":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L17-L17","name":"System.Uri.UriEscape.lettera","line":17,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.lettera","doc":""},"System.Uri.UriEscape.letterF":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L20-L20","name":"System.Uri.UriEscape.letterF","line":20,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterF","doc":""},"System.Uri.UriEscape.letterA":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L19-L19","name":"System.Uri.UriEscape.letterA","line":19,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterA","doc":""},"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L53-L57","name":"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","line":53,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","doc":""},"System.Uri.UriEscape.decodeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L25-L57","name":"System.Uri.UriEscape.decodeUri","line":25,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri","doc":"Decode %HH escapings in the given string. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.SearchPath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L131-L132","name":"System.SearchPath.toString","line":131,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.toString","doc":""},"System.SearchPath.separator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L125-L126","name":"System.SearchPath.separator","line":125,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.separator","doc":"The character that is used to separate the entries in the $PATH (or %PATH%) environment variable. "},"System.SearchPath.parse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L128-L129","name":"System.SearchPath.parse","line":128,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.parse","doc":""},"System.SearchPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L120-L120","name":"System.SearchPath","line":120,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath","doc":""},"System.Platform.numBits_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1738-L1739","name":"System.Platform.numBits_eq","line":1738,"kind":"theorem","docLink":"./Init/Prelude.html#System.Platform.numBits_eq","doc":""},"System.Platform.numBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1735-L1736","name":"System.Platform.numBits","line":1735,"kind":"def","docLink":"./Init/Prelude.html#System.Platform.numBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits. "},"System.Platform.isWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L16-L16","name":"System.Platform.isWindows","line":16,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isWindows","doc":""},"System.Platform.isOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L17-L17","name":"System.Platform.isOSX","line":17,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isOSX","doc":""},"System.Platform.isEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L18-L18","name":"System.Platform.isEmscripten","line":18,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isEmscripten","doc":""},"System.Platform.getNumBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1731-L1732","name":"System.Platform.getNumBits","line":1731,"kind":"opaque","docLink":"./Init/Prelude.html#System.Platform.getNumBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits.\n\nThis function is opaque because we cannot guarantee at compile time that the target\nwill have the same size as the host, and also because we would like to avoid\ntypechecking being architecture-dependent. Nevertheless, lean only works on\n64 and 32 bit systems so we can encode this as a fact available for proof purposes.\n"},"System.Platform.getIsWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L12-L12","name":"System.Platform.getIsWindows","line":12,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsWindows","doc":""},"System.Platform.getIsOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L13-L13","name":"System.Platform.getIsOSX","line":13,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsOSX","doc":""},"System.Platform.getIsEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L14-L14","name":"System.Platform.getIsEmscripten","line":14,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsEmscripten","doc":""},"System.FilePath.withFileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L99-L102","name":"System.FilePath.withFileName","line":99,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withFileName","doc":""},"System.FilePath.withExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L104-L107","name":"System.FilePath.withExtension","line":104,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withExtension","doc":""},"System.FilePath.walkDir.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L487-L503","name":"System.FilePath.walkDir.go","line":487,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.walkDir.go","doc":""},"System.FilePath.walkDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L484-L503","name":"System.FilePath.walkDir","line":484,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.walkDir","doc":"Return all filesystem entries of a preorder traversal of all directories satisfying `enter`, starting at `p`.\nSymbolic links are visited as well by default. "},"System.FilePath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L16-L16","name":"System.FilePath.toString","line":16,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.toString","doc":""},"System.FilePath.readDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L468-L468","name":"System.FilePath.readDir","line":468,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.readDir","doc":""},"System.FilePath.pathSeparators":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L32-L33","name":"System.FilePath.pathSeparators","line":32,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparators","doc":"The list of all possible separators. "},"System.FilePath.pathSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L28-L29","name":"System.FilePath.pathSeparator","line":28,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparator","doc":"The character that separates directories. In the case where more than one character is possible, `pathSeparator` is the 'ideal' one. "},"System.FilePath.pathExists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L478-L479","name":"System.FilePath.pathExists","line":478,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.pathExists","doc":""},"System.FilePath.parent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L75-L76","name":"System.FilePath.parent","line":75,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.parent","doc":""},"System.FilePath.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L42-L50","name":"System.FilePath.normalize","line":42,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.normalize","doc":""},"System.FilePath.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L1-L1","name":"System.FilePath.mk","line":1,"kind":"ctor","docLink":"./Init/System/FilePath.html#System.FilePath.mk","doc":""},"System.FilePath.metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L471-L471","name":"System.FilePath.metadata","line":471,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.metadata","doc":""},"System.FilePath.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L60-L64","name":"System.FilePath.join","line":60,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.join","doc":""},"System.FilePath.isRelative":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L57-L58","name":"System.FilePath.isRelative","line":57,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isRelative","doc":""},"System.FilePath.isDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L473-L476","name":"System.FilePath.isDir","line":473,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.isDir","doc":""},"System.FilePath.isAbsolute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L54-L55","name":"System.FilePath.isAbsolute","line":54,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isAbsolute","doc":""},"System.FilePath.instHDivFilePathString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L69-L70","name":"System.FilePath.instHDivFilePathString","line":69,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instHDivFilePathString","doc":""},"System.FilePath.instDivFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L66-L67","name":"System.FilePath.instDivFilePath","line":66,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instDivFilePath","doc":""},"System.FilePath.fileStem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L85-L90","name":"System.FilePath.fileStem","line":85,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileStem","doc":"Extracts the stem (non-extension) part of `p.fileName`. "},"System.FilePath.fileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L78-L82","name":"System.FilePath.fileName","line":78,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileName","doc":""},"System.FilePath.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L92-L97","name":"System.FilePath.extension","line":92,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extension","doc":""},"System.FilePath.extSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L36-L36","name":"System.FilePath.extSeparator","line":36,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extSeparator","doc":"File extension character "},"System.FilePath.exeExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L38-L39","name":"System.FilePath.exeExtension","line":38,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.exeExtension","doc":""},"System.FilePath.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L109-L110","name":"System.FilePath.components","line":109,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.components","doc":""},"System.FilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L15-L17","name":"System.FilePath","line":15,"kind":"structure","docLink":"./Init/System/FilePath.html#System.FilePath","doc":""},"Sum.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L74-L76","name":"Sum.repr","line":74,"kind":"def","docLink":"./Init/Data/Repr.html#Sum.repr","doc":""},"Sum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L105-L106","name":"Sum.inr","line":105,"kind":"ctor","docLink":"./Init/Core.html#Sum.inr","doc":"Right injection into the sum type `α ⊕ β`. If `b : β` then `.inr b : α ⊕ β`. "},"Sum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L103-L104","name":"Sum.inl","line":103,"kind":"ctor","docLink":"./Init/Core.html#Sum.inl","doc":"Left injection into the sum type `α ⊕ β`. If `a : α` then `.inl a : α ⊕ β`. "},"Sum.inhabitedRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L985-L986","name":"Sum.inhabitedRight","line":985,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedRight","doc":""},"Sum.inhabitedLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L982-L983","name":"Sum.inhabitedLeft","line":982,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedLeft","doc":""},"Sum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L102-L106","name":"Sum","line":102,"kind":"inductive","docLink":"./Init/Core.html#Sum","doc":"`Sum α β`, or `α ⊕ β`, is the disjoint union of types `α` and `β`.\nAn element of `α ⊕ β` is either of the form `.inl a` where `a : α`,\nor `.inr b` where `b : β`.\n"},"Subtype.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L564-L564","name":"Subtype.val","line":564,"kind":"def","docLink":"./Init/Prelude.html#Subtype.val","doc":"If `s : {x // p x}` then `s.val : α` is the underlying element in the base\ntype. You can also write this as `s.1`, or simply as `s` when the type is\nknown from context. "},"Subtype.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L32-L33","name":"Subtype.sizeOf","line":32,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Subtype.sizeOf","doc":""},"Subtype.property":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L567-L567","name":"Subtype.property","line":567,"kind":"def","docLink":"./Init/Prelude.html#Subtype.property","doc":"If `s : {x // p x}` then `s.2` or `s.property` is the assertion that\n`p s.1`, that is, that `s` is in fact an element for which `p` holds. "},"Subtype.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L560-L560","name":"Subtype.mk","line":560,"kind":"ctor","docLink":"./Init/Prelude.html#Subtype.mk","doc":""},"Subtype.instInhabitedSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L967-L968","name":"Subtype.instInhabitedSubtype","line":967,"kind":"instance","docLink":"./Init/Core.html#Subtype.instInhabitedSubtype","doc":""},"Subtype.instDecidableEqSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L970-L973","name":"Subtype.instDecidableEqSubtype","line":970,"kind":"instance","docLink":"./Init/Core.html#Subtype.instDecidableEqSubtype","doc":""},"Subtype.existsOfSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L955-L956","name":"Subtype.existsOfSubtype","line":955,"kind":"theorem","docLink":"./Init/Core.html#Subtype.existsOfSubtype","doc":""},"Subtype.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L963-L965","name":"Subtype.eta","line":963,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eta","doc":""},"Subtype.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L960-L961","name":"Subtype.eq","line":960,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eq","doc":""},"Subtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L560-L567","name":"Subtype","line":560,"kind":"structure","docLink":"./Init/Prelude.html#Subtype","doc":"`Subtype p`, usually written as `{x : α // p x}`, is a type which\nrepresents all the elements `x : α` for which `p x` is true. It is structurally\na pair-like type, so if you have `x : α` and `h : p x` then\n`⟨x, h⟩ : {x // p x}`. An element `s : {x // p x}` will coerce to `α` but\nyou can also make it explicit using `s.1` or `s.val`.\n"},"Substring.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L679-L680","name":"Substring.trimRight","line":679,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimRight","doc":""},"Substring.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L676-L677","name":"Substring.trimLeft","line":676,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimLeft","doc":""},"Substring.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L682-L686","name":"Substring.trim","line":682,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trim","doc":""},"Substring.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L525-L526","name":"Substring.toString","line":525,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toString","doc":""},"Substring.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L691-L695","name":"Substring.toNat?","line":691,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toNat?","doc":""},"Substring.toName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L840-L854","name":"Substring.toName","line":840,"kind":"def","docLink":"./Init/Meta.html#Substring.toName","doc":""},"Substring.toIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L528-L529","name":"Substring.toIterator","line":528,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toIterator","doc":""},"Substring.takeWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L636-L643","name":"Substring.takeWhileAux","line":636,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhileAux","doc":""},"Substring.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L645-L648","name":"Substring.takeWhile","line":645,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhile","doc":""},"Substring.takeRightWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L655-L664","name":"Substring.takeRightWhileAux","line":655,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhileAux","doc":""},"Substring.takeRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L666-L669","name":"Substring.takeRightWhile","line":666,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhile","doc":""},"Substring.takeRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L584-L585","name":"Substring.takeRight","line":584,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRight","doc":""},"Substring.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L581-L582","name":"Substring.take","line":581,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.take","doc":""},"Substring.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2321-L2321","name":"Substring.str","line":2321,"kind":"def","docLink":"./Init/Prelude.html#Substring.str","doc":"The underlying string to slice. "},"Substring.stopPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2325-L2325","name":"Substring.stopPos","line":2325,"kind":"def","docLink":"./Init/Prelude.html#Substring.stopPos","doc":"The byte position of the end of the string slice. "},"Substring.startPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2323-L2323","name":"Substring.startPos","line":2323,"kind":"def","docLink":"./Init/Prelude.html#Substring.startPos","doc":"The byte position of the start of the string slice. "},"Substring.splitOn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L597-L614","name":"Substring.splitOn.loop","line":597,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn.loop","doc":""},"Substring.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L593-L616","name":"Substring.splitOn","line":593,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn","doc":""},"Substring.prevn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L562-L564","name":"Substring.prevn","line":562,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prevn","doc":""},"Substring.prev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L553-L556","name":"Substring.prev","line":553,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prev","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the previous codepoint. "},"Substring.posOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L571-L573","name":"Substring.posOf","line":571,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.posOf","doc":"Return the offset into `s` of the first occurence of `c` in `s`,\nor `s.bsize` if `c` doesn't occur. "},"Substring.nextn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L558-L560","name":"Substring.nextn","line":558,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.nextn","doc":""},"Substring.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L537-L540","name":"Substring.next","line":537,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.next","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the next codepoint. "},"Substring.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"Substring.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Substring.mk","doc":""},"Substring.lt_next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L542-L549","name":"Substring.lt_next","line":542,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#Substring.lt_next","doc":""},"Substring.isNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L688-L689","name":"Substring.isNat","line":688,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isNat","doc":""},"Substring.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L522-L523","name":"Substring.isEmpty","line":522,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isEmpty","doc":""},"Substring.hasBeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L700-L700","name":"Substring.hasBeq","line":700,"kind":"instance","docLink":"./Init/Data/String/Basic.html#Substring.hasBeq","doc":""},"Substring.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L532-L533","name":"Substring.get","line":532,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.get","doc":"Return the codepoint at the given offset into the substring. 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"},"Substring.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L697-L698","name":"Substring.beq","line":697,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.beq","doc":""},"Substring.atEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L587-L588","name":"Substring.atEnd","line":587,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.atEnd","doc":""},"Substring.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L626-L628","name":"Substring.any","line":626,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.any","doc":""},"Substring.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L630-L631","name":"Substring.all","line":630,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.all","doc":""},"Substring":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2319-L2325","name":"Substring","line":2319,"kind":"structure","docLink":"./Init/Prelude.html#Substring","doc":"A `Substring` is a view into some subslice of a `String`.\nThe actual string slicing is deferred because this would require copying the\nstring; here we only store a reference to the original string for\ngarbage collection purposes.\n"},"Subsingleton.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L869-L869","name":"Subsingleton.intro","line":869,"kind":"ctor","docLink":"./Init/Core.html#Subsingleton.intro","doc":"Construct a proof that `α` is a subsingleton by showing that any two elements are equal. "},"Subsingleton.helim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L876-L879","name":"Subsingleton.helim","line":876,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.helim","doc":""},"Subsingleton.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L873-L874","name":"Subsingleton.elim","line":873,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.elim","doc":""},"Subsingleton.allEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L871-L871","name":"Subsingleton.allEq","line":871,"kind":"def","docLink":"./Init/Core.html#Subsingleton.allEq","doc":"Any two elements of a subsingleton are equal. "},"Subsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L867-L871","name":"Subsingleton","line":867,"kind":"class","docLink":"./Init/Core.html#Subsingleton","doc":"A \"subsingleton\" is a type with at most one element.\nIn other words, it is either empty, or has a unique element.\nAll propositions are subsingletons because of proof irrelevance, but some other types\nare subsingletons as well and they inherit many of the same properties as propositions.\n`Subsingleton α` is a typeclass, so it is usually used as an implicit argument and\ninferred by typeclass inference.\n"},"Subrelation.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L103-L104","name":"Subrelation.wf","line":103,"kind":"def","docLink":"./Init/WF.html#Subrelation.wf","doc":""},"Subrelation.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L96-L101","name":"Subrelation.accessible","line":96,"kind":"def","docLink":"./Init/WF.html#Subrelation.accessible","doc":""},"Subrelation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L931-L932","name":"Subrelation","line":931,"kind":"def","docLink":"./Init/Core.html#Subrelation","doc":"`Subrelation q r` means that `q ⊆ r` or `∀ x y, q x y → r x y`.\nIt is the analogue of the subset relation on relations.\n"},"Subarray.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L165-L166","name":"Subarray.toArray","line":165,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.toArray","doc":""},"Subarray.stop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L14-L14","name":"Subarray.stop","line":14,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.stop","doc":""},"Subarray.start":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L13-L13","name":"Subarray.start","line":13,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.start","doc":""},"Subarray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L20-L21","name":"Subarray.size","line":20,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.size","doc":""},"Subarray.popFront":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L41-L45","name":"Subarray.popFront","line":41,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.popFront","doc":""},"Subarray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L11-L11","name":"Subarray.mk","line":11,"kind":"ctor","docLink":"./Init/Data/Array/Subarray.html#Subarray.mk","doc":""},"Subarray.instGetElemSubarrayNatLtInstLTNatSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L32-L33","name":"Subarray.instGetElemSubarrayNatLtInstLTNatSize","line":32,"kind":"instance","docLink":"./Init/Data/Array/Subarray.html#Subarray.instGetElemSubarrayNatLtInstLTNatSize","doc":""},"Subarray.instForInSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L64-L65","name":"Subarray.instForInSubarray","line":64,"kind":"instance","docLink":"./Init/Data/Array/Subarray.html#Subarray.instForInSubarray","doc":""},"Subarray.h₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L16-L16","name":"Subarray.h₂","line":16,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.h₂","doc":""},"Subarray.h₁":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L15-L15","name":"Subarray.h₁","line":15,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.h₁","doc":""},"Subarray.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L35-L36","name":"Subarray.getD","line":35,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.getD","doc":""},"Subarray.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L38-L39","name":"Subarray.get!","line":38,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.get!","doc":""},"Subarray.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L23-L30","name":"Subarray.get","line":23,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.get","doc":""},"Subarray.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L88-L89","name":"Subarray.forRevM","line":88,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forRevM","doc":""},"Subarray.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L84-L85","name":"Subarray.forM","line":84,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forM","doc":""},"Subarray.forInUnsafe.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L49-L56","name":"Subarray.forInUnsafe.loop","line":49,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forInUnsafe.loop","doc":""},"Subarray.forInUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L47-L57","name":"Subarray.forInUnsafe","line":47,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.forInUnsafe","doc":""},"Subarray.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L61-L62","name":"Subarray.forIn","line":61,"kind":"opaque","docLink":"./Init/Data/Array/Subarray.html#Subarray.forIn","doc":""},"Subarray.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L72-L73","name":"Subarray.foldrM","line":72,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldrM","doc":""},"Subarray.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L96-L97","name":"Subarray.foldr","line":96,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldr","doc":""},"Subarray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L68-L69","name":"Subarray.foldlM","line":68,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldlM","doc":""},"Subarray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L92-L93","name":"Subarray.foldl","line":92,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.foldl","doc":""},"Subarray.findSomeRevM?.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L109-L118","name":"Subarray.findSomeRevM?.find","line":109,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findSomeRevM?.find","doc":""},"Subarray.findSomeRevM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L108-L119","name":"Subarray.findSomeRevM?","line":108,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findSomeRevM?","doc":""},"Subarray.findRevM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L122-L123","name":"Subarray.findRevM?","line":122,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findRevM?","doc":""},"Subarray.findRev?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L126-L127","name":"Subarray.findRev?","line":126,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.findRev?","doc":""},"Subarray.as":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L12-L12","name":"Subarray.as","line":12,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.as","doc":""},"Subarray.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L76-L77","name":"Subarray.anyM","line":76,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.anyM","doc":""},"Subarray.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L100-L101","name":"Subarray.any","line":100,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.any","doc":""},"Subarray.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L80-L81","name":"Subarray.allM","line":80,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.allM","doc":""},"Subarray.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L104-L105","name":"Subarray.all","line":104,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Subarray.all","doc":""},"Subarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L11-L16","name":"Subarray","line":11,"kind":"structure","docLink":"./Init/Data/Array/Subarray.html#Subarray","doc":""},"Sub.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1270-L1270","name":"Sub.sub","line":1270,"kind":"def","docLink":"./Init/Prelude.html#Sub.sub","doc":"`a - b` computes the difference of `a` and `b`. See `HSub`. "},"Sub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1268-L1268","name":"Sub.mk","line":1268,"kind":"ctor","docLink":"./Init/Prelude.html#Sub.mk","doc":""},"Sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1268-L1270","name":"Sub","line":1268,"kind":"class","docLink":"./Init/Prelude.html#Sub","doc":"The homogeneous version of `HSub`: `a - b : α` where `a b : α`. "},"String.utf8SetAux_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L418-L422","name":"String.utf8SetAux_of_gt","line":418,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux_of_gt","doc":""},"String.utf8SetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L77-L80","name":"String.utf8SetAux","line":77,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux","doc":""},"String.utf8PrevAux_lt_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L140-L149","name":"String.utf8PrevAux_lt_of_pos","line":140,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux_lt_of_pos","doc":""},"String.utf8PrevAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L94-L98","name":"String.utf8PrevAux","line":94,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux","doc":""},"String.utf8GetAux?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L61-L63","name":"String.utf8GetAux?","line":61,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux?","doc":""},"String.utf8GetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L47-L49","name":"String.utf8GetAux","line":47,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux","doc":""},"String.utf8ByteSize.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2346-L2348","name":"String.utf8ByteSize.go","line":2346,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize.go","doc":""},"String.utf8ByteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2343-L2348","name":"String.utf8ByteSize","line":2343,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize","doc":"The UTF-8 byte length of this string.\nThis is overridden by the compiler to be cached and O(1).\n"},"String.utf16PosToCodepointPosFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L49-L50","name":"String.utf16PosToCodepointPosFrom","line":49,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPosFrom","doc":"Computes the position of the Unicode codepoint at UTF-16 offset\n`utf16pos` in the substring of `s` starting at UTF-8 offset `off`. "},"String.utf16PosToCodepointPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L52-L53","name":"String.utf16PosToCodepointPos","line":52,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPos","doc":""},"String.utf16Length":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L27-L28","name":"String.utf16Length","line":27,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16Length","doc":""},"String.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L736-L737","name":"String.trimRight","line":736,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimRight","doc":""},"String.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L739-L740","name":"String.trimLeft","line":739,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimLeft","doc":""},"String.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L742-L743","name":"String.trim","line":742,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trim","doc":""},"String.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L751-L752","name":"String.toUpper","line":751,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toUpper","doc":""},"String.toUTF8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Extra.lean#L34-L34","name":"String.toUTF8","line":34,"kind":"opaque","docLink":"./Init/Data/String/Extra.html#String.toUTF8","doc":"Convert the given `String` to a [UTF-8](https://en.wikipedia.org/wiki/UTF-8) encoded byte array. "},"String.toSubstring'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2385-L2386","name":"String.toSubstring'","line":2385,"kind":"def","docLink":"./Init/Prelude.html#String.toSubstring'","doc":"`String.toSubstring` without `[inline]` annotation. "},"String.toSubstring":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2379-L2382","name":"String.toSubstring","line":2379,"kind":"def","docLink":"./Init/Prelude.html#String.toSubstring","doc":"Convert a `String` into a `Substring` denoting the entire string. "},"String.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L474-L478","name":"String.toNat?","line":474,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toNat?","doc":""},"String.toNat!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Extra.lean#L19-L23","name":"String.toNat!","line":19,"kind":"def","docLink":"./Init/Data/String/Extra.html#String.toNat!","doc":"Interpret the string as the decimal representation of a natural number.\n\nPanics if the string is not a string of digits. "},"String.toName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L856-L857","name":"String.toName","line":856,"kind":"def","docLink":"./Init/Meta.html#String.toName","doc":""},"String.toLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L754-L755","name":"String.toLower","line":754,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toLower","doc":""},"String.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L44-L45","name":"String.toList","line":44,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toList","doc":"O(n) in the runtime, where n is the length of the String "},"String.toInt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L122-L127","name":"String.toInt?","line":122,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#String.toInt?","doc":""},"String.toInt!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L135-L138","name":"String.toInt!","line":135,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#String.toInt!","doc":""},"String.toFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Instances.lean#L36-L37","name":"String.toFormat","line":36,"kind":"def","docLink":"./Init/Data/Format/Instances.html#String.toFormat","doc":""},"String.toFileMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Position.lean#L83-L84","name":"String.toFileMap","line":83,"kind":"def","docLink":"./Lean/Data/Position.html#String.toFileMap","doc":""},"String.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L718-L719","name":"String.takeWhile","line":718,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeWhile","doc":""},"String.takeRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L724-L725","name":"String.takeRightWhile","line":724,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeRightWhile","doc":""},"String.takeRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L715-L716","name":"String.takeRight","line":715,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeRight","doc":""},"String.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L712-L713","name":"String.take","line":712,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.take","doc":""},"String.substrEq.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L486-L492","name":"String.substrEq.loop","line":486,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.substrEq.loop","doc":""},"String.substrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L483-L493","name":"String.substrEq","line":483,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.substrEq","doc":"Return `true` iff the substring of byte size `sz` starting at position `off1` in `s1` is equal to that starting at `off2` in `s2.`.\nFalse if either substring of that byte size does not exist. "},"String.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L272-L272","name":"String.str","line":272,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.str","doc":""},"String.startsWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L730-L731","name":"String.startsWith","line":730,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.startsWith","doc":""},"String.splitOnAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L248-L263","name":"String.splitOnAux","line":248,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOnAux","doc":""},"String.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L265-L266","name":"String.splitOn","line":265,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOn","doc":""},"String.splitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L232-L243","name":"String.splitAux","line":232,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitAux","doc":""},"String.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L245-L246","name":"String.split","line":245,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.split","doc":""},"String.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L283-L284","name":"String.singleton","line":283,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.singleton","doc":""},"String.set_next_add.foo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L429-L441","name":"String.set_next_add.foo","line":429,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add.foo","doc":""},"String.set_next_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L424-L442","name":"String.set_next_add","line":424,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add","doc":""},"String.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L83-L84","name":"String.set","line":83,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.set","doc":""},"String.revPosOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L167-L174","name":"String.revPosOfAux","line":167,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOfAux","doc":""},"String.revPosOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L176-L177","name":"String.revPosOf","line":176,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOf","doc":""},"String.revFindAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L191-L198","name":"String.revFindAux","line":191,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFindAux","doc":""},"String.revFind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L200-L201","name":"String.revFind","line":200,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFind","doc":""},"String.replace.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L504-L514","name":"String.replace.loop","line":504,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace.loop","doc":""},"String.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L500-L516","name":"String.replace","line":500,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace","doc":"Replace all occurrences of `pattern` in `s` with `replacement`. "},"String.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L203-L205","name":"String.quote","line":203,"kind":"def","docLink":"./Init/Data/Repr.html#String.quote","doc":""},"String.pushn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L274-L275","name":"String.pushn","line":274,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.pushn","doc":""},"String.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L34-L35","name":"String.push","line":34,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.push","doc":"The internal implementation uses dynamic arrays and will perform destructive updates\nif the String is not shared. "},"String.prev_lt_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L151-L153","name":"String.prev_lt_of_pos","line":151,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.prev_lt_of_pos","doc":""},"String.prev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L101-L102","name":"String.prev","line":101,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.prev","doc":""},"String.pos_lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L133-L133","name":"String.pos_lt_eq","line":133,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.pos_lt_eq","doc":""},"String.pos_add_char":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L135-L135","name":"String.pos_add_char","line":135,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.pos_add_char","doc":""},"String.posOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L155-L162","name":"String.posOfAux","line":155,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.posOfAux","doc":""},"String.posOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L164-L165","name":"String.posOf","line":164,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.posOf","doc":""},"String.one_le_csize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L130-L131","name":"String.one_le_csize","line":130,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.one_le_csize","doc":""},"String.offsetOfPosAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L365-L372","name":"String.offsetOfPosAux","line":365,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.offsetOfPosAux","doc":""},"String.offsetOfPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L374-L375","name":"String.offsetOfPos","line":374,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.offsetOfPos","doc":""},"String.nextWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L745-L746","name":"String.nextWhile","line":745,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.nextWhile","doc":""},"String.nextUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L748-L749","name":"String.nextUntil","line":748,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.nextUntil","doc":""},"String.next'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L126-L128","name":"String.next'","line":126,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.next'","doc":"Similar to `next` but runtime does not perform bounds check.\n"},"String.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L90-L92","name":"String.next","line":90,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.next","doc":""},"String.modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L86-L87","name":"String.modify","line":86,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.modify","doc":""},"String.mkIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L299-L300","name":"String.mkIterator","line":299,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.mkIterator","doc":""},"String.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2274-L2274","name":"String.mk","line":2274,"kind":"ctor","docLink":"./Init/Prelude.html#String.mk","doc":"Pack a `List Char` into a `String`. This function is overridden by the\ncompiler and is O(n) in the length of the list. 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opaque string hash function. "},"String.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L66-L67","name":"String.get?","line":66,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get?","doc":""},"String.get'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L118-L120","name":"String.get'","line":118,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get'","doc":"Similar to `get` but runtime does not perform bounds check.\n"},"String.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L73-L75","name":"String.get!","line":73,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get!","doc":"Similar to `get`, but produces a panic error message if `p` is not a valid `String.Pos`.\n"},"String.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L57-L59","name":"String.get","line":57,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.get","doc":"Return character at position `p`. If `p` is not a valid position\nreturns `(default : Char)`.\nSee `utf8GetAux` for the reference implementation.\n"},"String.front":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L104-L105","name":"String.front","line":104,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.front","doc":""},"String.fromUTF8Unchecked":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Extra.lean#L30-L30","name":"String.fromUTF8Unchecked","line":30,"kind":"opaque","docLink":"./Init/Data/String/Extra.html#String.fromUTF8Unchecked","doc":"Convert a [UTF-8](https://en.wikipedia.org/wiki/UTF-8) encoded `ByteArray` string to `String`.\nThe result is unspecified if `a` is not properly UTF-8 encoded.\n"},"String.foldrAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L387-L395","name":"String.foldrAux","line":387,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldrAux","doc":""},"String.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L397-L398","name":"String.foldr","line":397,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldr","doc":""},"String.foldlAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L377-L382","name":"String.foldlAux","line":377,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldlAux","doc":""},"String.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L384-L385","name":"String.foldl","line":384,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.foldl","doc":""},"String.firstDiffPos.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L209-L215","name":"String.firstDiffPos.loop","line":209,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.firstDiffPos.loop","doc":""},"String.firstDiffPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L207-L217","name":"String.firstDiffPos","line":207,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.firstDiffPos","doc":"Returns the first position where the two strings differ. "},"String.findAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L179-L186","name":"String.findAux","line":179,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.findAux","doc":""},"String.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L188-L189","name":"String.find","line":188,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.find","doc":""},"String.extract.go₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L227-L229","name":"String.extract.go₂","line":227,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.extract.go₂","doc":""},"String.extract.go₁":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L223-L225","name":"String.extract.go₁","line":223,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.extract.go₁","doc":""},"String.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L220-L229","name":"String.extract","line":220,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.extract","doc":""},"String.endsWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L733-L734","name":"String.endsWith","line":733,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.endsWith","doc":""},"String.endPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2375-L2376","name":"String.endPos","line":2375,"kind":"def","docLink":"./Init/Prelude.html#String.endPos","doc":"A `String.Pos` pointing at the end of this string. "},"String.dropWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L721-L722","name":"String.dropWhile","line":721,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.dropWhile","doc":""},"String.dropRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L727-L728","name":"String.dropRightWhile","line":727,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.dropRightWhile","doc":""},"String.dropRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L709-L710","name":"String.dropRight","line":709,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.dropRight","doc":""},"String.drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L706-L707","name":"String.drop","line":706,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.drop","doc":""},"String.decapitalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L760-L761","name":"String.decapitalize","line":760,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.decapitalize","doc":""},"String.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L24-L25","name":"String.decLt","line":24,"kind":"instance","docLink":"./Init/Data/String/Basic.html#String.decLt","doc":""},"String.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2287-L2290","name":"String.decEq","line":2287,"kind":"def","docLink":"./Init/Prelude.html#String.decEq","doc":"Decides equality on `String`.\nThis function is overridden with a native implementation.\n"},"String.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2277-L2277","name":"String.data","line":2277,"kind":"def","docLink":"./Init/Prelude.html#String.data","doc":"Unpack `String` into a `List Char`. 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"},"Std.Range.«term[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L66-L66","name":"Std.Range.«term[_:_]»","line":66,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_]»","doc":""},"Std.Range.«term[_:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L68-L68","name":"Std.Range.«term[_:_:_]»","line":68,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_:_]»","doc":""},"Std.Range.«term[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L65-L65","name":"Std.Range.«term[:_]»","line":65,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_]»","doc":""},"Std.Range.«term[:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L67-L67","name":"Std.Range.«term[:_:_]»","line":67,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_:_]»","doc":""},"Std.Range.stop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L14-L14","name":"Std.Range.stop","line":14,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.stop","doc":""},"Std.Range.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L15-L15","name":"Std.Range.step","line":15,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.step","doc":""},"Std.Range.start":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L13-L13","name":"Std.Range.start","line":13,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.start","doc":""},"Std.Range.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L1-L1","name":"Std.Range.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Range.html#Std.Range.mk","doc":""},"Std.Range.instForMRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L62-L63","name":"Std.Range.instForMRangeNat","line":62,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForMRangeNat","doc":""},"Std.Range.instForInRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L35-L36","name":"Std.Range.instForInRangeNat","line":35,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForInRangeNat","doc":""},"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L50-L51","name":"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","line":50,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","doc":""},"Std.Range.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L54-L59","name":"Std.Range.forM.loop","line":54,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM.loop","doc":""},"Std.Range.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L53-L60","name":"Std.Range.forM","line":53,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM","doc":""},"Std.Range.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L25-L32","name":"Std.Range.forIn.loop","line":25,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn.loop","doc":""},"Std.Range.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L39-L47","name":"Std.Range.forIn'.loop","line":39,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'.loop","doc":""},"Std.Range.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L38-L48","name":"Std.Range.forIn'","line":38,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'","doc":""},"Std.Range.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L23-L33","name":"Std.Range.forIn","line":23,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn","doc":""},"Std.Range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L12-L15","name":"Std.Range","line":12,"kind":"structure","docLink":"./Init/Data/Range.html#Std.Range","doc":""},"Std.Queue.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L61-L62","name":"Std.Queue.toArray","line":61,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.toArray","doc":""},"Std.Queue.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L19-L19","name":"Std.Queue.mk","line":19,"kind":"ctor","docLink":"./Init/Data/Queue.html#Std.Queue.mk","doc":""},"Std.Queue.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L38-L39","name":"Std.Queue.isEmpty","line":38,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.isEmpty","doc":"`O(1)`. Is the queue empty? "},"Std.Queue.instInhabitedQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L35-L35","name":"Std.Queue.instInhabitedQueue","line":35,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instInhabitedQueue","doc":""},"Std.Queue.instEmptyCollectionQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L34-L34","name":"Std.Queue.instEmptyCollectionQueue","line":34,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instEmptyCollectionQueue","doc":""},"Std.Queue.enqueueAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L46-L47","name":"Std.Queue.enqueueAll","line":46,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueueAll","doc":"`O(|vs|)`. Push a list of elements `vs` on the front of the queue. "},"Std.Queue.enqueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L42-L43","name":"Std.Queue.enqueue","line":42,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueue","doc":"`O(1)`. Push an element on the front of the queue. "},"Std.Queue.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L32-L32","name":"Std.Queue.empty","line":32,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.empty","doc":"`O(1)`. The empty queue. "},"Std.Queue.eList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L22-L22","name":"Std.Queue.eList","line":22,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.eList","doc":"The enqueue list, which stores elements that have just been pushed\n(with the most recently enqueued elements at the head). "},"Std.Queue.dequeue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L53-L59","name":"Std.Queue.dequeue?","line":53,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dequeue?","doc":"`O(1)` amortized, `O(n)` worst case. Pop an element from the back of the queue,\nreturning the element and the new queue.\n"},"Std.Queue.dList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L25-L25","name":"Std.Queue.dList","line":25,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dList","doc":"The dequeue list, which buffers elements ready to be dequeued\n(with the head being the next item to be yielded by `dequeue?`). "},"Std.Queue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L19-L25","name":"Std.Queue","line":19,"kind":"structure","docLink":"./Init/Data/Queue.html#Std.Queue","doc":"A functional queue data structure, using two back-to-back lists.\nIf we think of the queue as having elements pushed on the front and\npopped from the back, then the queue itself is effectively `eList ++ dList.reverse`.\n"},"Std.Format.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L57-L58","name":"Std.Format.text","line":57,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.text","doc":"A node containing a plain string. "},"Std.Format.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L76-L77","name":"Std.Format.tag","line":76,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.tag","doc":"Used for associating auxiliary information (e.g. `Expr`s) with `Format` objects. "},"Std.Format.sbracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L269-L270","name":"Std.Format.sbracket","line":269,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.sbracket","doc":"Creates the format `\"[\" ++ f ++ \"]\"` with a flattening group."},"Std.Format.prettyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L256-L257","name":"Std.Format.prettyM","line":256,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prettyM","doc":"Render the given `f : Format` with a line width of `w`.\n`indent` is the starting amount to indent each line by. "},"Std.Format.pretty'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L32-L33","name":"Std.Format.pretty'","line":32,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.pretty'","doc":""},"Std.Format.pretty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L305-L307","name":"Std.Format.pretty","line":305,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.pretty","doc":"Pretty-print a `Format` object as a string with expected width `w`. "},"Std.Format.prefixJoin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L332-L334","name":"Std.Format.prefixJoin","line":332,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prefixJoin","doc":"Format each item in `items` and prepend prefix `pre`. "},"Std.Format.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L265-L266","name":"Std.Format.paren","line":265,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.paren","doc":"Creates the format `\"(\" ++ f ++ \")\"` with a flattening group."},"Std.Format.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L39-L40","name":"Std.Format.nil","line":39,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nil","doc":"The empty format. "},"Std.Format.nestD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L283-L284","name":"Std.Format.nestD","line":283,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.nestD","doc":"Nest with the default indentation amount."},"Std.Format.nest":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L59-L71","name":"Std.Format.nest","line":59,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nest","doc":"`nest n f` tells the formatter that `f` is nested inside something with length `n`\nso that it is pretty-printed with the correct indentation on a line break.\nFor example, we can define a formatter for list `l : List Format` as:\n\n```\nlet f := join <| l.intersperse <| \", \" ++ Format.line\ngroup (nest 1 <| \"[\" ++ f ++ \"]\")\n```\n\nThis will be written all on one line, but if the text is too large,\nthe formatter will put in linebreaks after the commas and indent later lines by 1.\n"},"Std.Format.line":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L41-L43","name":"Std.Format.line","line":41,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.line","doc":"A position where a newline may be inserted\nif the current group does not fit within the allotted column width. "},"Std.Format.joinSuffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L337-L339","name":"Std.Format.joinSuffix","line":337,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSuffix","doc":"Format each item in `items` and append `suffix`. "},"Std.Format.joinSep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L326-L329","name":"Std.Format.joinSep","line":326,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSep","doc":"Intersperse the given list (each item printed with `format`) with the given `sep` format. "},"Std.Format.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L100-L101","name":"Std.Format.join","line":100,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.join","doc":""},"Std.Format.isNil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L103-L105","name":"Std.Format.isNil","line":103,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isNil","doc":""},"Std.Format.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L83-L91","name":"Std.Format.isEmpty","line":83,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isEmpty","doc":"Check whether the given format contains no characters. "},"Std.Format.instMonadPrettyFormatStateMState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L295-L301","name":"Std.Format.instMonadPrettyFormatStateMState","line":295,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instMonadPrettyFormatStateMState","doc":""},"Std.Format.instInhabitedSpaceResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L111-L111","name":"Std.Format.instInhabitedSpaceResult","line":111,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedSpaceResult","doc":""},"Std.Format.instInhabitedFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instInhabitedFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedFlattenBehavior","doc":""},"Std.Format.instCoeStringFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L98-L98","name":"Std.Format.instCoeStringFormat","line":98,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instCoeStringFormat","doc":""},"Std.Format.instBEqFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instBEqFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instBEqFlattenBehavior","doc":""},"Std.Format.instAppendFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L97-L97","name":"Std.Format.instAppendFormat","line":97,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instAppendFormat","doc":""},"Std.Format.indentD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L287-L288","name":"Std.Format.indentD","line":287,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.indentD","doc":"Insert a newline and then `f`, all nested by the default indent amount. "},"Std.Format.group":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L74-L75","name":"Std.Format.group","line":74,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.group","doc":"Creates a new flattening group for the given inner format. "},"Std.Format.getWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L13-L13","name":"Std.Format.getWidth","line":13,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getWidth","doc":""},"Std.Format.getUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L15-L15","name":"Std.Format.getUnicode","line":15,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getUnicode","doc":""},"Std.Format.getIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L14-L14","name":"Std.Format.getIndent","line":14,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getIndent","doc":""},"Std.Format.format.width":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L17-L20","name":"Std.Format.format.width","line":17,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.width","doc":""},"Std.Format.format.unicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L22-L25","name":"Std.Format.format.unicode","line":22,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.unicode","doc":""},"Std.Format.format.indent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L27-L30","name":"Std.Format.format.indent","line":27,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.indent","doc":""},"Std.Format.fill":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L94-L95","name":"Std.Format.fill","line":94,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.fill","doc":"Alias for a group with `FlattenBehavior` set to `fill`. "},"Std.Format.defWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L280-L280","name":"Std.Format.defWidth","line":280,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defWidth","doc":"Default width of the targeted output pane. "},"Std.Format.defUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L278-L278","name":"Std.Format.defUnicode","line":278,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defUnicode","doc":""},"Std.Format.defIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L277-L277","name":"Std.Format.defIndent","line":277,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defIndent","doc":"Default indentation. "},"Std.Format.bracketFill":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L273-L274","name":"Std.Format.bracketFill","line":273,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracketFill","doc":"Same as `bracket` except uses the `fill` flattening behaviour. "},"Std.Format.bracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L261-L262","name":"Std.Format.bracket","line":261,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracket","doc":"Create a format `l ++ f ++ r` with a flatten group.\nFlattenBehaviour is `allOrNone`; for `fill` use `bracketFill`. "},"Std.Format.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L72-L73","name":"Std.Format.append","line":72,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.append","doc":"Concatenation of two Formats. "},"Std.Format.align":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L44-L56","name":"Std.Format.align","line":44,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.align","doc":"`align` tells the formatter to pad with spaces to the current indent,\nor else add a newline if we are already at or past the indent. For example:\n```\nnest 2 <| \".\" ++ align ++ \"a\" ++ line ++ \"b\"\n```\nresults in:\n```\n. a\n b\n```\nIf `force` is true, then it will pad to the indent even if it is in a flattened group.\n"},"Std.Format.MonadPrettyFormat.startTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L162-L162","name":"Std.Format.MonadPrettyFormat.startTag","line":162,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.startTag","doc":"Start a scope tagged with `n`. "},"Std.Format.MonadPrettyFormat.pushOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L158-L158","name":"Std.Format.MonadPrettyFormat.pushOutput","line":158,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushOutput","doc":""},"Std.Format.MonadPrettyFormat.pushNewline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L159-L159","name":"Std.Format.MonadPrettyFormat.pushNewline","line":159,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushNewline","doc":""},"Std.Format.MonadPrettyFormat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L157-L157","name":"Std.Format.MonadPrettyFormat.mk","line":157,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.mk","doc":""},"Std.Format.MonadPrettyFormat.endTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L164-L164","name":"Std.Format.MonadPrettyFormat.endTags","line":164,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.endTags","doc":"Exit the scope of `n`-many opened tags. "},"Std.Format.MonadPrettyFormat.currColumn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L160-L160","name":"Std.Format.MonadPrettyFormat.currColumn","line":160,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.currColumn","doc":""},"Std.Format.MonadPrettyFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L157-L164","name":"Std.Format.MonadPrettyFormat","line":157,"kind":"class","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat","doc":"A monad in which we can pretty-print `Format` objects. 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canonical quotient map into `Squash α`. "},"Squash.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1593-L1594","name":"Squash.lift","line":1593,"kind":"def","docLink":"./Init/Core.html#Squash.lift","doc":"If `β` is a subsingleton, then a function `α → β` lifts to `Squash α → β`. "},"Squash.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1589-L1590","name":"Squash.ind","line":1589,"kind":"theorem","docLink":"./Init/Core.html#Squash.ind","doc":""},"Squash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1584-L1584","name":"Squash","line":1584,"kind":"def","docLink":"./Init/Core.html#Squash","doc":"`Squash α` is the quotient of `α` by the always true relation.\nIt is empty if `α` is empty, otherwise it is a singleton.\n(Thus it is unconditionally a `Subsingleton`.)\nIt is the \"universal `Subsingleton`\" mapped from `α`.\n\nIt is similar to `Nonempty α`, which has the same properties, but unlike\n`Nonempty` this is a `Type u`, that is, it is \"data\", and the compiler\nrepresents an element of `Squash α` the same as `α` itself\n(as compared to `Nonempty α`, whose elements are represented by a dummy value).\n\n`Squash.lift` will extract a value in any subsingleton `β` from a function on `α`,\nwhile `Nonempty.rec` can only do the same when `β` is a proposition.\n"},"SizeOf.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L28-L28","name":"SizeOf.sizeOf","line":28,"kind":"def","docLink":"./Init/SizeOf.html#SizeOf.sizeOf","doc":"The \"size\" of an element, a natural number which decreases on fields of\neach inductive type. "},"SizeOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L25-L25","name":"SizeOf.mk","line":25,"kind":"ctor","docLink":"./Init/SizeOf.html#SizeOf.mk","doc":""},"SizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L25-L28","name":"SizeOf","line":25,"kind":"class","docLink":"./Init/SizeOf.html#SizeOf","doc":"`SizeOf` is a typeclass automatically derived for every inductive type,\nwhich equips the type with a \"size\" function to `Nat`.\nThe default instance defines each constructor to be `1` plus the sum of the\nsizes of all the constructor fields.\n\nThis is used for proofs by well-founded induction, since every field of the\nconstructor has a smaller size than the constructor itself,\nand in many cases this will suffice to do the proof that a recursive function\nis only called on smaller values.\nIf the default proof strategy fails, it is recommended to supply a custom\nsize measure using the `termination_by` argument on the function definition.\n"},"Sigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L144-L144","name":"Sigma.snd","line":144,"kind":"def","docLink":"./Init/Core.html#Sigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"Sigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L140-L140","name":"Sigma.mk","line":140,"kind":"ctor","docLink":"./Init/Core.html#Sigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : Sigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"Sigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L142-L142","name":"Sigma.fst","line":142,"kind":"def","docLink":"./Init/Core.html#Sigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"Sigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L136-L144","name":"Sigma","line":136,"kind":"structure","docLink":"./Init/Core.html#Sigma","doc":"`Sigma β`, also denoted `Σ a : α, β a` or `(a : α) × β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt is sometimes known as the dependent sum type, since it is the type level version\nof an indexed summation.\n"},"ShiftRight.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1362-L1362","name":"ShiftRight.shiftRight","line":1362,"kind":"def","docLink":"./Init/Prelude.html#ShiftRight.shiftRight","doc":"The implementation of `a >>> b : α`. See `HShiftRight`. "},"ShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1360-L1360","name":"ShiftRight.mk","line":1360,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftRight.mk","doc":""},"ShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1360-L1362","name":"ShiftRight","line":1360,"kind":"class","docLink":"./Init/Prelude.html#ShiftRight","doc":"The homogeneous version of `HShiftRight`: `a >>> b : α` where `a b : α`. "},"ShiftLeft.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1357-L1357","name":"ShiftLeft.shiftLeft","line":1357,"kind":"def","docLink":"./Init/Prelude.html#ShiftLeft.shiftLeft","doc":"The implementation of `a <<< b : α`. See `HShiftLeft`. "},"ShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1355-L1355","name":"ShiftLeft.mk","line":1355,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftLeft.mk","doc":""},"ShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1355-L1357","name":"ShiftLeft","line":1355,"kind":"class","docLink":"./Init/Prelude.html#ShiftLeft","doc":"The homogeneous version of `HShiftLeft`: `a <<< b : α` where `a b : α`. "},"ShareCommonT.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L97-L98","name":"ShareCommonT.withShareCommon","line":97,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.withShareCommon","doc":""},"ShareCommonT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L103-L103","name":"ShareCommonT.run","line":103,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.run","doc":""},"ShareCommonT.monadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L100-L101","name":"ShareCommonT.monadShareCommon","line":100,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommonT.monadShareCommon","doc":""},"ShareCommonT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L94-L94","name":"ShareCommonT","line":94,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT","doc":""},"ShareCommonM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L104-L104","name":"ShareCommonM.run","line":104,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM.run","doc":""},"ShareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L95-L95","name":"ShareCommonM","line":95,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM","doc":""},"ShareCommon.mkStateImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L77-L77","name":"ShareCommon.mkStateImpl","line":77,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.mkStateImpl","doc":""},"ShareCommon.instNonemptyStateFactory":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L35-L35","name":"ShareCommon.instNonemptyStateFactory","line":35,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyStateFactory","doc":""},"ShareCommon.instNonemptyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L75-L75","name":"ShareCommon.instNonemptyState","line":75,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyState","doc":""},"ShareCommon.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L79-L79","name":"ShareCommon.instInhabitedState","line":79,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instInhabitedState","doc":""},"ShareCommon.StatePointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L73-L73","name":"ShareCommon.StatePointed","line":73,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StatePointed","doc":"Internally `State` is implemented as a pair `ObjectMap` and `ObjectSet` "},"ShareCommon.StateFactoryPointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L33-L33","name":"ShareCommon.StateFactoryPointed","line":33,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryPointed","doc":""},"ShareCommon.StateFactoryImpl.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L31-L31","name":"ShareCommon.StateFactoryImpl.setInsert","line":31,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setInsert","doc":""},"ShareCommon.StateFactoryImpl.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L30-L30","name":"ShareCommon.StateFactoryImpl.setFind?","line":30,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setFind?","doc":""},"ShareCommon.StateFactoryImpl.mkState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L27-L27","name":"ShareCommon.StateFactoryImpl.mkState","line":27,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mkState","doc":""},"ShareCommon.StateFactoryImpl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryImpl.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mk","doc":""},"ShareCommon.StateFactoryImpl.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L29-L29","name":"ShareCommon.StateFactoryImpl.mapInsert","line":29,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapInsert","doc":""},"ShareCommon.StateFactoryImpl.mapFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L28-L28","name":"ShareCommon.StateFactoryImpl.mapFind?","line":28,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapFind?","doc":""},"ShareCommon.StateFactoryImpl.Set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Set","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Set","doc":""},"ShareCommon.StateFactoryImpl.Map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Map","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Map","doc":""},"ShareCommon.StateFactoryImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L25-L31","name":"ShareCommon.StateFactoryImpl","line":25,"kind":"structure","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl","doc":""},"ShareCommon.StateFactoryBuilder.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L51-L51","name":"ShareCommon.StateFactoryBuilder.setInsert","line":51,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setInsert","doc":""},"ShareCommon.StateFactoryBuilder.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L50-L50","name":"ShareCommon.StateFactoryBuilder.setFind?","line":50,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setFind?","doc":""},"ShareCommon.StateFactoryBuilder.mkSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L49-L49","name":"ShareCommon.StateFactoryBuilder.mkSet","line":49,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkSet","doc":""},"ShareCommon.StateFactoryBuilder.mkMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L45-L45","name":"ShareCommon.StateFactoryBuilder.mkMap","line":45,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkMap","doc":""},"ShareCommon.StateFactoryBuilder.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryBuilder.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mk","doc":""},"ShareCommon.StateFactoryBuilder.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L47-L47","nam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≈ y` is the distinguished equivalence relation of a setoid. "},"Setoid.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1081-L1081","name":"Setoid.mk","line":1081,"kind":"ctor","docLink":"./Init/Core.html#Setoid.mk","doc":""},"Setoid.iseqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1085-L1085","name":"Setoid.iseqv","line":1085,"kind":"def","docLink":"./Init/Core.html#Setoid.iseqv","doc":"The relation `x ≈ y` is an equivalence relation. "},"Setoid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1081-L1085","name":"Setoid","line":1081,"kind":"class","docLink":"./Init/Core.html#Setoid","doc":"A setoid is a type with a distinguished equivalence relation, denoted `≈`.\nThis is mainly used as input to the `Quotient` type constructor.\n"},"SeqRight.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2716-L2716","name":"SeqRight.seqRight","line":2716,"kind":"def","docLink":"./Init/Prelude.html#SeqRight.seqRight","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2710-L2710","name":"SeqRight.mk","line":2710,"kind":"ctor","docLink":"./Init/Prelude.html#SeqRight.mk","doc":""},"SeqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2710-L2716","name":"SeqRight","line":2710,"kind":"class","docLink":"./Init/Prelude.html#SeqRight","doc":"The typeclass which supplies the `*>` \"seqRight\" function. See `Applicative`. "},"SeqLeft.seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2707-L2707","name":"SeqLeft.seqLeft","line":2707,"kind":"def","docLink":"./Init/Prelude.html#SeqLeft.seqLeft","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2701-L2701","name":"SeqLeft.mk","line":2701,"kind":"ctor","docLink":"./Init/Prelude.html#SeqLeft.mk","doc":""},"SeqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2701-L2707","name":"SeqLeft","line":2701,"kind":"class","docLink":"./Init/Prelude.html#SeqLeft","doc":"The typeclass which supplies the `<*` \"seqLeft\" function. See `Applicative`. "},"Seq.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2698-L2698","name":"Seq.seq","line":2698,"kind":"def","docLink":"./Init/Prelude.html#Seq.seq","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"Seq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2691-L2691","name":"Seq.mk","line":2691,"kind":"ctor","docLink":"./Init/Prelude.html#Seq.mk","doc":""},"Seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2691-L2698","name":"Seq","line":2691,"kind":"class","docLink":"./Init/Prelude.html#Seq","doc":"The typeclass which supplies the `<*>` \"seq\" function. See `Applicative`. 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"},"Repr.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L17-L17","name":"Repr.reprPrec","line":17,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.reprPrec","doc":""},"Repr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L16-L16","name":"Repr.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Repr.html#Repr.mk","doc":""},"Repr.addAppParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L46-L50","name":"Repr.addAppParen","line":46,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.addAppParen","doc":""},"Repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L16-L17","name":"Repr","line":16,"kind":"class","docLink":"./Init/Data/Repr.html#Repr","doc":""},"ReaderT.tryFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L35-L36","name":"ReaderT.tryFinally","line":35,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.tryFinally","doc":""},"ReaderT.run_seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L206-L207","name":"ReaderT.run_seqRight","line":206,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqRight","doc":""},"ReaderT.run_seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L209-L210","name":"ReaderT.run_seqLeft","line":209,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqLeft","doc":""},"ReaderT.run_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L203-L204","name":"ReaderT.run_seq","line":203,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seq","doc":""},"ReaderT.run_read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L201-L201","name":"ReaderT.run_read","line":201,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_read","doc":""},"ReaderT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L184-L184","name":"ReaderT.run_pure","line":184,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_pure","doc":""},"ReaderT.run_monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L198-L199","name":"ReaderT.run_monadMap","line":198,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadMap","doc":""},"ReaderT.run_monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L195-L196","name":"ReaderT.run_monadLift","line":195,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadLift","doc":""},"ReaderT.run_mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L189-L190","name":"ReaderT.run_mapConst","line":189,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_mapConst","doc":""},"ReaderT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L192-L193","name":"ReaderT.run_map","line":192,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_map","doc":""},"ReaderT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L186-L187","name":"ReaderT.run_bind","line":186,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_bind","doc":""},"ReaderT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2945-L2946","name":"ReaderT.run","line":2945,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.run","doc":"If `x : ReaderT ρ m α` and `r : ρ`, then `x.run r : ρ` runs the monad with the\ngiven reader state.\n"},"ReaderT.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2968-L2969","name":"ReaderT.read","line":2968,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.read","doc":"`(← read) : ρ` gets the read-only state of a `ReaderT ρ`. "},"ReaderT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2973-L2974","name":"ReaderT.pure","line":2973,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.pure","doc":"The `pure` operation of the `ReaderT` monad. "},"ReaderT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L16-L17","name":"ReaderT.orElse","line":16,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.orElse","doc":""},"ReaderT.instMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2993-L2994","name":"ReaderT.instMonadReaderT","line":2993,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadReaderT","doc":""},"ReaderT.instMonadLiftReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2953-L2954","name":"ReaderT.instMonadLiftReaderT","line":2953,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadLiftReaderT","doc":""},"ReaderT.instMonadFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2996-L2997","name":"ReaderT.instMonadFunctorReaderT","line":2996,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadFunctorReaderT","doc":""},"ReaderT.instMonadExceptOfReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2957-L2959","name":"ReaderT.instMonadExceptOfReaderT","line":2957,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadExceptOfReaderT","doc":""},"ReaderT.instLawfulMonadReaderTInstMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L225-L229","name":"ReaderT.instLawfulMonadReaderTInstMonadReaderT","line":225,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulMonadReaderTInstMonadReaderT","doc":""},"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L212-L215","name":"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","line":212,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","doc":""},"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L217-L223","name":"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","line":217,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","doc":""},"ReaderT.instFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2982-L2984","name":"ReaderT.instFunctorReaderT","line":2982,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instFunctorReaderT","doc":""},"ReaderT.instApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2987-L2991","name":"ReaderT.instApplicativeReaderT","line":2987,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instApplicativeReaderT","doc":""},"ReaderT.instAlternativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L23-L25","name":"ReaderT.instAlternativeReaderT","line":23,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.instAlternativeReaderT","doc":""},"ReaderT.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L20-L21","name":"ReaderT.failure","line":20,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.failure","doc":""},"ReaderT.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L180-L182","name":"ReaderT.ext","line":180,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.ext","doc":""},"ReaderT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2978-L2979","name":"ReaderT.bind","line":2978,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.bind","doc":"The `bind` operation of the `ReaderT` monad. "},"ReaderT.adapt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3004-L3005","name":"ReaderT.adapt","line":3004,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.adapt","doc":"`adapt (f : ρ' → ρ)` precomposes function `f` on the reader state of a\n`ReaderT ρ`, yielding a `ReaderT ρ'`.\n"},"ReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2934-L2935","name":"ReaderT","line":2934,"kind":"def","docLink":"./Init/Prelude.html#ReaderT","doc":"An implementation of Haskell's [`ReaderT`]. This is a monad transformer which\nequips a monad with additional read-only state, of type `ρ`.\n\n [`ReaderT`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Reader.html#t:ReaderT\n"},"ReaderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L38-L38","name":"ReaderM","line":38,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderM","doc":""},"RandomGen.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L29-L29","name":"RandomGen.split","line":29,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.split","doc":"The 'split' operation allows one to obtain two distinct random number\ngenerators. This is very useful in functional programs (for example, when\npassing a random number generator down to recursive calls). "},"RandomGen.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L20-L20","name":"RandomGen.range","line":20,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.range","doc":"`range` returns the range of values returned by\nthe generator. "},"RandomGen.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L24-L24","name":"RandomGen.next","line":24,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.next","doc":"`next` operation returns a natural number that is uniformly distributed\n the range returned by `range` (including both end points),\nand a new generator. "},"RandomGen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L17-L17","name":"RandomGen.mk","line":17,"kind":"ctor","docLink":"./Init/Data/Random.html#RandomGen.mk","doc":""},"RandomGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L17-L29","name":"RandomGen","line":17,"kind":"class","docLink":"./Init/Data/Random.html#RandomGen","doc":"Interface for random number generators. "},"Quotient.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1344-L1345","name":"Quotient.sound","line":1344,"kind":"def","docLink":"./Init/Core.html#Quotient.sound","doc":"The analogue of `Quot.sound`: If `a` and `b` are related by the equivalence relation,\nthen they have equal equivalence classes.\n"},"Quotient.recOnSubsingleton₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1511-L1524","name":"Quotient.recOnSubsingleton₂","line":1511,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1401-L1406","name":"Quotient.recOnSubsingleton","line":1401,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton","doc":"The analogue of `Quot.recOnSubsingleton` for `Quotient`. See `Quot.recOnSubsingleton`. "},"Quotient.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1392-L1397","name":"Quotient.recOn","line":1392,"kind":"def","docLink":"./Init/Core.html#Quotient.recOn","doc":"The analogue of `Quot.recOn` for `Quotient`. See `Quot.recOn`. "},"Quotient.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1383-L1388","name":"Quotient.rec","line":1383,"kind":"def","docLink":"./Init/Core.html#Quotient.rec","doc":"The analogue of `Quot.rec` for `Quotient`. See `Quot.rec`. "},"Quotient.mk'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1337-L1338","name":"Quotient.mk'","line":1337,"kind":"def","docLink":"./Init/Core.html#Quotient.mk'","doc":"The canonical quotient map into a `Quotient`.\n(This synthesizes the setoid by typeclass inference.)\n"},"Quotient.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1330-L1331","name":"Quotient.mk","line":1330,"kind":"def","docLink":"./Init/Core.html#Quotient.mk","doc":"The canonical quotient map into a `Quotient`. "},"Quotient.lift₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1424-L1432","name":"Quotient.lift₂","line":1424,"kind":"def","docLink":"./Init/Core.html#Quotient.lift₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1435-L1441","name":"Quotient.liftOn₂","line":1435,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1362-L1363","name":"Quotient.liftOn","line":1362,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn","doc":"The analogue of `Quot.liftOn`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift (mk a) f h = f a`.\n"},"Quotient.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1351-L1352","name":"Quotient.lift","line":1351,"kind":"def","docLink":"./Init/Core.html#Quotient.lift","doc":"The analogue of `Quot.lift`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift f h (mk a) = f a`.\n"},"Quotient.ind₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1444-L1452","name":"Quotient.ind₂","line":1444,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind₂","doc":""},"Quotient.inductionOn₃":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1466-L1477","name":"Quotient.inductionOn₃","line":1466,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₃","doc":""},"Quotient.inductionOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1455-L1463","name":"Quotient.inductionOn₂","line":1455,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₂","doc":""},"Quotient.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1367-L1371","name":"Quotient.inductionOn","line":1367,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn","doc":"The analogue of `Quot.inductionOn`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1355-L1356","name":"Quotient.ind","line":1355,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind","doc":"The analogue of `Quot.ind`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1410-L1415","name":"Quotient.hrecOn","line":1410,"kind":"def","docLink":"./Init/Core.html#Quotient.hrecOn","doc":"The analogue of `Quot.hrecOn` for `Quotient`. See `Quot.hrecOn`. "},"Quotient.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1373-L1374","name":"Quotient.exists_rep","line":1373,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exists_rep","doc":""},"Quotient.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1499-L1500","name":"Quotient.exact","line":1499,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exact","doc":""},"Quotient":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1323-L1324","name":"Quotient","line":1323,"kind":"def","docLink":"./Init/Core.html#Quotient","doc":"`Quotient α s` is the same as `Quot α r`, but it is specialized to a setoid `s`\n(that is, an equivalence relation) instead of an arbitrary relation.\nPrefer `Quotient` over `Quot` if your relation is actually an equivalence relation.\n"},"Quot.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1209-L1209","name":"Quot.sound","line":1209,"kind":"axiom","docLink":"./Init/Core.html#Quot.sound","doc":"The **quotient axiom**, or at least the nontrivial part of the quotient\naxiomatization. Quotient types are introduced by the `init_quot` command\nin `Init.Prelude` which introduces the axioms:\n\n```\nopaque Quot {α : Sort u} (r : α → α → Prop) : Sort u\n\nopaque Quot.mk {α : Sort u} (r : α → α → Prop) (a : α) : Quot r\n\nopaque Quot.lift {α : Sort u} {r : α → α → Prop} {β : Sort v} (f : α → β) :\n (∀ a b : α, r a b → f a = f b) → Quot r → β\n\nopaque Quot.ind {α : Sort u} {r : α → α → Prop} {β : Quot r → Prop} :\n (∀ a : α, β (Quot.mk r a)) → ∀ q : Quot r, β q\n```\nAll of these axioms are true if we assume `Quot α r = α` and `Quot.mk` and\n`Quot.lift` are identity functions, so they do not add much. However this axiom\ncannot be explained in that way (it is false for that interpretation), so the\nreal power of quotient types come from this axiom.\n\nIt says that the quotient by `r` maps elements which are related by `r` to equal\nvalues in the quotient. Together with `Quot.lift` which says that functions\nwhich respect `r` can be lifted to functions on the quotient, we can deduce that\n`Quot α r` exactly consists of the equivalence classes with respect to `r`.\n\nIt is important to note that `r` need not be an equivalence relation in this axiom.\nWhen `r` is not an equivalence relation, we are actually taking a quotient with\nrespect to the equivalence relation generated by `r`.\n"},"Quot.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1291-L1298","name":"Quot.recOnSubsingleton","line":1291,"kind":"def","docLink":"./Init/Core.html#Quot.recOnSubsingleton","doc":"Dependent induction principle for a quotient, when the target type is a `Subsingleton`.\nIn this case the quotient's side condition is trivial so any function can be lifted.\n"},"Quot.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1280-L1285","name":"Quot.recOn","line":1280,"kind":"def","docLink":"./Init/Core.html#Quot.recOn","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1274-L1278","name":"Quot.rec","line":1274,"kind":"def","docLink":"./Init/Core.html#Quot.rec","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1228-L1230","name":"Quot.liftOn","line":1228,"kind":"def","docLink":"./Init/Core.html#Quot.liftOn","doc":"`Quot.liftOn q f h` is the same as `Quot.lift f h q`. It just reorders\nthe argument `q : Quot r` to be first.\n"},"Quot.liftIndepPr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1258-L1264","name":"Quot.liftIndepPr1","line":1258,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftIndepPr1","doc":""},"Quot.liftBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1211-L1216","name":"Quot.liftBeta","line":1211,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftBeta","doc":""},"Quot.lcInv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L429-L429","name":"Quot.lcInv","line":429,"kind":"axiom","docLink":"./Init/Prelude.html#Quot.lcInv","doc":"Unsafe auxiliary constant used by the compiler to erase `Quot.lift`.\n"},"Quot.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1233-L1237","name":"Quot.inductionOn","line":1233,"kind":"theorem","docLink":"./Init/Core.html#Quot.inductionOn","doc":""},"Quot.indepCoherent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1252-L1256","name":"Quot.indepCoherent","line":1252,"kind":"theorem","docLink":"./Init/Core.html#Quot.indepCoherent","doc":""},"Quot.indep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1249-L1250","name":"Quot.indep","line":1249,"kind":"def","docLink":"./Init/Core.html#Quot.indep","doc":"Auxiliary definition for `Quot.rec`. "},"Quot.indBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1218-L1222","name":"Quot.indBeta","line":1218,"kind":"theorem","docLink":"./Init/Core.html#Quot.indBeta","doc":""},"Quot.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1305-L1312","name":"Quot.hrecOn","line":1305,"kind":"def","docLink":"./Init/Core.html#Quot.hrecOn","doc":"Heterogeneous dependent recursion principle for a quotient.\nThis may be easier to work with since it uses `HEq` instead of\nan `Eq.ndrec` in the hypothesis.\n"},"Quot.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1239-L1240","name":"Quot.exists_rep","line":1239,"kind":"theorem","docLink":"./Init/Core.html#Quot.exists_rep","doc":""},"Pure.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2670-L2670","name":"Pure.pure","line":2670,"kind":"def","docLink":"./Init/Prelude.html#Pure.pure","doc":"If `a : α`, then `pure a : f α` represents a monadic action that does\nnothing and returns `a`. "},"Pure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2667-L2667","name":"Pure.mk","line":2667,"kind":"ctor","docLink":"./Init/Prelude.html#Pure.mk","doc":""},"Pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2667-L2670","name":"Pure","line":2667,"kind":"class","docLink":"./Init/Prelude.html#Pure","doc":"The typeclass which supplies the `pure` function. See `Monad`. "},"Prod.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L470-L470","name":"Prod.snd","line":470,"kind":"def","docLink":"./Init/Prelude.html#Prod.snd","doc":"The second projection out of a pair. if `p : α × β` then `p.2 : β`. "},"Prod.rprod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L250-L255","name":"Prod.rprod","line":250,"kind":"def","docLink":"./Init/WF.html#Prod.rprod","doc":""},"Prod.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L92-L93","name":"Prod.repr","line":92,"kind":"def","docLink":"./Init/Data/Repr.html#Prod.repr","doc":""},"Prod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L466-L466","name":"Prod.mk","line":466,"kind":"ctor","docLink":"./Init/Prelude.html#Prod.mk","doc":""},"Prod.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1043-L1045","name":"Prod.map","line":1043,"kind":"def","docLink":"./Init/Core.html#Prod.map","doc":"`Prod.map f g : α₁ × β₁ → α₂ × β₂` maps across a pair\nby applying `f` to the first component and `g` to the second.\n"},"Prod.lexLt_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1034-L1035","name":"Prod.lexLt_def","line":1034,"kind":"theorem","docLink":"./Init/Core.html#Prod.lexLt_def","doc":""},"Prod.lexLtDec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1028-L1032","name":"Prod.lexLtDec","line":1028,"kind":"instance","docLink":"./Init/Core.html#Prod.lexLtDec","doc":""},"Prod.lexLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1025-L1026","name":"Prod.lexLt","line":1025,"kind":"def","docLink":"./Init/Core.html#Prod.lexLt","doc":"Lexicographical order for products "},"Prod.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L225-L234","name":"Prod.lexAccessible","line":225,"kind":"def","docLink":"./Init/WF.html#Prod.lexAccessible","doc":""},"Prod.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L237-L239","name":"Prod.lex","line":237,"kind":"def","docLink":"./Init/WF.html#Prod.lex","doc":""},"Prod.instWellFoundedRelationProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L241-L242","name":"Prod.instWellFoundedRelationProd","line":241,"kind":"instance","docLink":"./Init/WF.html#Prod.instWellFoundedRelationProd","doc":""},"Prod.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L468-L468","name":"Prod.fst","line":468,"kind":"def","docLink":"./Init/Prelude.html#Prod.fst","doc":"The first projection out of a pair. if `p : α × β` then `p.1 : α`. "},"Prod.foldI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L776-L777","name":"Prod.foldI","line":776,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.foldI","doc":"`(start, stop).foldI f a` evaluates `f` on all the numbers\nfrom `start` (inclusive) to `stop` (exclusive) in increasing order:\n* `(5, 8).foldI f init = init |> f 5 |> f 6 |> f 7`\n"},"Prod.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1037-L1037","name":"Prod.eta","line":1037,"kind":"theorem","docLink":"./Init/Core.html#Prod.eta","doc":""},"Prod.anyI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L784-L785","name":"Prod.anyI","line":784,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.anyI","doc":"`(start, stop).anyI f a` returns true if `f` is true for some natural number\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 || f 6 || f 7`\n"},"Prod.allI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L792-L793","name":"Prod.allI","line":792,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.allI","doc":"`(start, stop).allI f a` returns true if `f` is true for all natural numbers\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 && f 6 && f 7`\n"},"Prod.RProdSubLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L245-L247","name":"Prod.RProdSubLex","line":245,"kind":"def","docLink":"./Init/WF.html#Prod.RProdSubLex","doc":""},"Prod.RProd.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L217-L217","name":"Prod.RProd.intro","line":217,"kind":"ctor","docLink":"./Init/WF.html#Prod.RProd.intro","doc":""},"Prod.RProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L216-L217","name":"Prod.RProd","line":216,"kind":"inductive","docLink":"./Init/WF.html#Prod.RProd","doc":""},"Prod.Lex.right'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L210-L213","name":"Prod.Lex.right'","line":210,"kind":"def","docLink":"./Init/WF.html#Prod.Lex.right'","doc":""},"Prod.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L207-L207","name":"Prod.Lex.right","line":207,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.right","doc":""},"Prod.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L206-L206","name":"Prod.Lex.left","line":206,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.left","doc":""},"Prod.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L205-L207","name":"Prod.Lex","line":205,"kind":"inductive","docLink":"./Init/WF.html#Prod.Lex","doc":""},"Prod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L466-L470","name":"Prod","line":466,"kind":"structure","docLink":"./Init/Prelude.html#Prod","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"Pow.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1303-L1303","name":"Pow.pow","line":1303,"kind":"def","docLink":"./Init/Prelude.html#Pow.pow","doc":"`a ^ b` computes `a` to the power of `b`. See `HPow`. "},"Pow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1301-L1301","name":"Pow.mk","line":1301,"kind":"ctor","docLink":"./Init/Prelude.html#Pow.mk","doc":""},"Pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1301-L1303","name":"Pow","line":1301,"kind":"class","docLink":"./Init/Prelude.html#Pow","doc":"The homogeneous version of `HPow`: `a ^ b : α` where `a : α`, `b : β`.\n(The right argument is not the same as the left since we often want this even\nin the homogeneous case.)\n"},"Parser.Attr.TypedUserSemantics.regionDom":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L442-L442","name":"Parser.Attr.TypedUserSemantics.regionDom","line":442,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionDom","doc":""},"Parser.Attr.TypedUserSemantics.regionCod":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L443-L443","name":"Parser.Attr.TypedUserSemantics.regionCod","line":443,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionCod","doc":""},"Parser.Attr.TypedUserSemantics.outUserType":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L441-L441","name":"Parser.Attr.TypedUserSemantics.outUserType","line":441,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.outUserType","doc":""},"Parser.Attr.TypedUserSemantics.eval":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L439-L439","name":"Parser.Attr.TypedUserSemantics.eval","line":439,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.eval","doc":""},"Parser.Attr.TypedUserSemantics.argUserType":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L440-L440","name":"Parser.Attr.TypedUserSemantics.argUserType","line":440,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.argUserType","doc":""},"Parser.Attr.Option.bind":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L438-L438","name":"Parser.Attr.Option.bind","line":438,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Option.bind","doc":""},"Parser.Attr.Bind.bind":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L437-L437","name":"Parser.Attr.Bind.bind","line":437,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Bind.bind","doc":""},"PUnit.unit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L110-L111","name":"PUnit.unit","line":110,"kind":"ctor","docLink":"./Init/Prelude.html#PUnit.unit","doc":"`PUnit.unit : PUnit` is the canonical element of the unit type. "},"PUnit.subsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1060-L1061","name":"PUnit.subsingleton","line":1060,"kind":"theorem","docLink":"./Init/Core.html#PUnit.subsingleton","doc":""},"PUnit.eq_punit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1063-L1064","name":"PUnit.eq_punit","line":1063,"kind":"theorem","docLink":"./Init/Core.html#PUnit.eq_punit","doc":""},"PUnit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L109-L111","name":"PUnit","line":109,"kind":"inductive","docLink":"./Init/Prelude.html#PUnit","doc":"The unit type, the canonical type with one element, named `unit` or `()`.\nThis is the universe-polymorphic version of `Unit`; it is preferred to use\n`Unit` instead where applicable.\nFor more information about universe levels: [Types as objects](https://leanprover.github.io/theorem_proving_in_lean4/dependent_type_theory.html#types-as-objects)\n"},"PSum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L124-L125","name":"PSum.inr","line":124,"kind":"ctor","docLink":"./Init/Core.html#PSum.inr","doc":"Right injection into the sum type `α ⊕' β`. If `b : β` then `.inr b : α ⊕' β`. "},"PSum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L122-L123","name":"PSum.inl","line":122,"kind":"ctor","docLink":"./Init/Core.html#PSum.inl","doc":"Left injection into the sum type `α ⊕' β`. If `a : α` then `.inl a : α ⊕' β`. "},"PSum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L121-L125","name":"PSum","line":121,"kind":"inductive","docLink":"./Init/Core.html#PSum","doc":"`PSum α β`, or `α ⊕' β`, is the disjoint union of types `α` and `β`.\nIt differs from `α ⊕ β` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `True ⊕' Nat`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSum` is usually only used in automation that constructs sums of arbitrary types.\n"},"PSigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L169-L169","name":"PSigma.snd","line":169,"kind":"def","docLink":"./Init/Core.html#PSigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"PSigma.skipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L342-L344","name":"PSigma.skipLeft","line":342,"kind":"def","docLink":"./Init/WF.html#PSigma.skipLeft","doc":""},"PSigma.revLexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L322-L332","name":"PSigma.revLexAccessible","line":322,"kind":"def","docLink":"./Init/WF.html#PSigma.revLexAccessible","doc":""},"PSigma.revLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L334-L335","name":"PSigma.revLex","line":334,"kind":"def","docLink":"./Init/WF.html#PSigma.revLex","doc":""},"PSigma.mkSkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L346-L347","name":"PSigma.mkSkipLeft","line":346,"kind":"def","docLink":"./Init/WF.html#PSigma.mkSkipLeft","doc":""},"PSigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L165-L165","name":"PSigma.mk","line":165,"kind":"ctor","docLink":"./Init/Core.html#PSigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : PSigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"PSigma.lexNdepWf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L304-L305","name":"PSigma.lexNdepWf","line":304,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdepWf","doc":""},"PSigma.lexNdep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L301-L302","name":"PSigma.lexNdep","line":301,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdep","doc":""},"PSigma.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L277-L286","name":"PSigma.lexAccessible","line":277,"kind":"def","docLink":"./Init/WF.html#PSigma.lexAccessible","doc":""},"PSigma.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L289-L291","name":"PSigma.lex","line":289,"kind":"def","docLink":"./Init/WF.html#PSigma.lex","doc":""},"PSigma.instWellFoundedRelationPSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L293-L294","name":"PSigma.instWellFoundedRelationPSigma","line":293,"kind":"instance","docLink":"./Init/WF.html#PSigma.instWellFoundedRelationPSigma","doc":""},"PSigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L167-L167","name":"PSigma.fst","line":167,"kind":"def","docLink":"./Init/Core.html#PSigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"PSigma.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1052-L1056","name":"PSigma.eta","line":1052,"kind":"theorem","docLink":"./Init/Core.html#PSigma.eta","doc":""},"PSigma.SkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L339-L340","name":"PSigma.SkipLeft","line":339,"kind":"def","docLink":"./Init/WF.html#PSigma.SkipLeft","doc":""},"PSigma.RevLex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L314-L314","name":"PSigma.RevLex.right","line":314,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.right","doc":""},"PSigma.RevLex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L313-L313","name":"PSigma.RevLex.left","line":313,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.left","doc":""},"PSigma.RevLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L312-L314","name":"PSigma.RevLex","line":312,"kind":"inductive","docLink":"./Init/WF.html#PSigma.RevLex","doc":""},"PSigma.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L270-L270","name":"PSigma.Lex.right","line":270,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.right","doc":""},"PSigma.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L269-L269","name":"PSigma.Lex.left","line":269,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.left","doc":""},"PSigma.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L268-L270","name":"PSigma.Lex","line":268,"kind":"inductive","docLink":"./Init/WF.html#PSigma.Lex","doc":""},"PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L161-L169","name":"PSigma","line":161,"kind":"structure","docLink":"./Init/Core.html#PSigma","doc":"`PSigma β`, also denoted `Σ' a : α, β a` or `(a : α) ×' β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt differs from `Σ a : α, β a` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `(p : Nat) ×' p = p`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSigma` is usually only used in automation that constructs pairs of arbitrary types.\n"},"PProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L482-L482","name":"PProd.snd","line":482,"kind":"def","docLink":"./Init/Prelude.html#PProd.snd","doc":"The second projection out of a pair. if `p : PProd α β` then `p.2 : β`. "},"PProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L478-L478","name":"PProd.mk","line":478,"kind":"ctor","docLink":"./Init/Prelude.html#PProd.mk","doc":""},"PProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L480-L480","name":"PProd.fst","line":480,"kind":"def","docLink":"./Init/Prelude.html#PProd.fst","doc":"The first projection out of a pair. if `p : PProd α β` then `p.1 : α`. "},"PProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L478-L482","name":"PProd","line":478,"kind":"structure","docLink":"./Init/Prelude.html#PProd","doc":"Similar to `Prod`, but `α` and `β` can be propositions.\nWe use this type internally to automatically generate the `brecOn` recursor.\n"},"PNonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L454-L455","name":"PNonScalar.mk","line":454,"kind":"ctor","docLink":"./Init/Core.html#PNonScalar.mk","doc":"You should not use this function "},"PNonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L453-L455","name":"PNonScalar","line":453,"kind":"inductive","docLink":"./Init/Core.html#PNonScalar","doc":"`PNonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n\nThis is the universe-polymorphic version of `PNonScalar`; it is preferred to use\n`NonScalar` instead where applicable.\n"},"PLift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L757-L757","name":"PLift.up_down","line":757,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.up_down","doc":"Bijection between `α` and `PLift α` "},"PLift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L753-L753","name":"PLift.up","line":753,"kind":"ctor","docLink":"./Init/Prelude.html#PLift.up","doc":"Lift a value into `PLift α` "},"PLift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L760-L760","name":"PLift.down_up","line":760,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.down_up","doc":"Bijection between `α` and `PLift α` "},"PLift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L754-L754","name":"PLift.down","line":754,"kind":"def","docLink":"./Init/Prelude.html#PLift.down","doc":"Extract a value from `PLift α` "},"PLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L752-L754","name":"PLift","line":752,"kind":"structure","docLink":"./Init/Prelude.html#PLift","doc":"Universe lifting operation from `Sort u` to `Type u`. "},"PEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L202-L202","name":"PEmpty","line":202,"kind":"inductive","docLink":"./Init/Prelude.html#PEmpty","doc":"The universe-polymorphic empty type. Prefer `Empty` or `False` where\npossible.\n"},"Ordering.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.lt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.lt","doc":""},"Ordering.isLE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L74-L77","name":"Ordering.isLE","line":74,"kind":"def","docLink":"./Init/Data/Ord.html#Ordering.isLE","doc":""},"Ordering.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.gt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.gt","doc":""},"Ordering.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.eq","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.eq","doc":""},"Ordering":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L11-L13","name":"Ordering","line":11,"kind":"inductive","docLink":"./Init/Data/Ord.html#Ordering","doc":""},"Ord.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L16-L16","name":"Ord.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ord.mk","doc":""},"Ord.compare":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L17-L17","name":"Ord.compare","line":17,"kind":"def","docLink":"./Init/Data/Ord.html#Ord.compare","doc":""},"Ord":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L16-L17","name":"Ord","line":16,"kind":"class","docLink":"./Init/Data/Ord.html#Ord","doc":""},"OrOp.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1347-L1347","name":"OrOp.or","line":1347,"kind":"def","docLink":"./Init/Prelude.html#OrOp.or","doc":"The implementation of `a ||| b : α`. See `HOr`. "},"OrOp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1345-L1345","name":"OrOp.mk","line":1345,"kind":"ctor","docLink":"./Init/Prelude.html#OrOp.mk","doc":""},"OrOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1345-L1347","name":"OrOp","line":1345,"kind":"class","docLink":"./Init/Prelude.html#OrOp","doc":"The homogeneous version of `HOr`: `a ||| b : α` where `a b : α`.\n(It is called `OrOp` because `Or` is taken for the propositional connective.)\n"},"OrElse.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1317-L1317","name":"OrElse.orElse","line":1317,"kind":"def","docLink":"./Init/Prelude.html#OrElse.orElse","doc":"The implementation of `a <|> b : α`. See `HOrElse`. "},"OrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1315-L1315","name":"OrElse.mk","line":1315,"kind":"ctor","docLink":"./Init/Prelude.html#OrElse.mk","doc":""},"OrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1315-L1317","name":"OrElse","line":1315,"kind":"class","docLink":"./Init/Prelude.html#OrElse","doc":"The homogeneous version of `HOrElse`: `a <|> b : α` where `a b : α`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → α` to the\nimplementation so it can decide when to evaluate it.\n"},"Or.intro_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L526-L527","name":"Or.intro_right","line":526,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_right","doc":"Alias for `Or.inr`. "},"Or.intro_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L522-L523","name":"Or.intro_left","line":522,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_left","doc":"Alias for `Or.inl`. "},"Or.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L518-L519","name":"Or.inr","line":518,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inr","doc":"`Or.inr` is \"right injection\" into an `Or`. If `h : b` then `Or.inr h : a ∨ b`. "},"Or.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L516-L517","name":"Or.inl","line":516,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inl","doc":"`Or.inl` is \"left injection\" into an `Or`. If `h : a` then `Or.inl h : a ∨ b`. "},"Or.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L533-L536","name":"Or.elim","line":533,"kind":"theorem","docLink":"./Init/Prelude.html#Or.elim","doc":"Proof by cases on an `Or`. If `a ∨ b`, and both `a` and `b` imply\nproposition `c`, then `c` is true.\n"},"Or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L515-L519","name":"Or","line":515,"kind":"inductive","docLink":"./Init/Prelude.html#Or","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"OptionT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L62-L64","name":"OptionT.tryCatch","line":62,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.tryCatch","doc":""},"OptionT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L19-L20","name":"OptionT.run","line":19,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.run","doc":""},"OptionT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L35-L36","name":"OptionT.pure","line":35,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.pure","doc":""},"OptionT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L43-L46","name":"OptionT.orElse","line":43,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.orElse","doc":""},"OptionT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L25-L26","name":"OptionT.mk","line":25,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.mk","doc":""},"OptionT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L55-L56","name":"OptionT.lift","line":55,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.lift","doc":""},"OptionT.instMonadOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L39-L41","name":"OptionT.instMonadOptionT","line":39,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadOptionT","doc":""},"OptionT.instMonadLiftOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L58-L58","name":"OptionT.instMonadLiftOptionT","line":58,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadLiftOptionT","doc":""},"OptionT.instMonadFunctorOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L60-L60","name":"OptionT.instMonadFunctorOptionT","line":60,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadFunctorOptionT","doc":""},"OptionT.instMonadExceptOfUnitOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L66-L68","name":"OptionT.instMonadExceptOfUnitOptionT","line":66,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfUnitOptionT","doc":""},"OptionT.instMonadExceptOfOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L70-L72","name":"OptionT.instMonadExceptOfOptionT","line":70,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfOptionT","doc":""},"OptionT.instAlternativeOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L51-L53","name":"OptionT.instAlternativeOptionT","line":51,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instAlternativeOptionT","doc":""},"OptionT.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L48-L49","name":"OptionT.fail","line":48,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.fail","doc":""},"OptionT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L29-L32","name":"OptionT.bind","line":29,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.bind","doc":""},"OptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L15-L16","name":"OptionT","line":15,"kind":"def","docLink":"./Init/Control/Option.html#OptionT","doc":""},"Option.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L110-L113","name":"Option.tryCatch","line":110,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.tryCatch","doc":""},"Option.toMonad":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L13-L15","name":"Option.toMonad","line":13,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toMonad","doc":""},"Option.toLOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/LOption.lean#L24-L26","name":"Option.toLOption","line":24,"kind":"def","docLink":"./Lean/Data/LOption.html#Option.toLOption","doc":""},"Option.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L17-L19","name":"Option.toBool","line":17,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toBool","doc":""},"Option.some_eq_pure":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"Option.some":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2142-L2143","name":"Option.some","line":2142,"kind":"ctor","docLink":"./Init/Prelude.html#Option.some","doc":"Some value of type `α`. "},"Option.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L67-L69","name":"Option.repr","line":67,"kind":"def","docLink":"./Init/Data/Repr.html#Option.repr","doc":""},"Option.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L58-L60","name":"Option.orElse","line":58,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.orElse","doc":""},"Option.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2140-L2141","name":"Option.none","line":2140,"kind":"ctor","docLink":"./Init/Prelude.html#Option.none","doc":"No value. "},"Option.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L78-L82","name":"Option.merge","line":78,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.merge","doc":"Take a pair of options and if they are both `some`, apply the given fn to produce an output.\nOtherwise act like `orElse`. "},"Option.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L43-L44","name":"Option.map_id","line":43,"kind":"theorem","docLink":"./Init/Data/Option/Basic.html#Option.map_id","doc":""},"Option.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L37-L41","name":"Option.mapM","line":37,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.mapM","doc":""},"Option.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2167-L2169","name":"Option.map","line":2167,"kind":"def","docLink":"./Init/Prelude.html#Option.map","doc":"Map a function over an `Option` by applying the function to the contained\nvalue if present.\n"},"Option.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L65-L68","name":"Option.lt","line":65,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.lt","doc":""},"Option.isSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L21-L23","name":"Option.isSome","line":21,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isSome","doc":""},"Option.isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L25-L27","name":"Option.isNone","line":25,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isNone","doc":""},"Option.isEqSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L29-L31","name":"Option.isEqSome","line":29,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isEqSome","doc":""},"Option.instOrElseOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L62-L63","name":"Option.instOrElseOption","line":62,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instOrElseOption","doc":""},"Option.instDecidableRelOptionLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L70-L74","name":"Option.instDecidableRelOptionLt","line":70,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instDecidableRelOptionLt","doc":""},"Option.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2159-L2161","name":"Option.getD","line":2159,"kind":"def","docLink":"./Init/Prelude.html#Option.getD","doc":"Get with default. If `opt : Option α` and `dflt : α`, then `opt.getD dflt`\nreturns `a` if `opt = some a` and `dflt` otherwise.\n\nThis function is `@[macro_inline]`, so `dflt` will not be evaluated unless\n`opt` turns out to be `none`.\n"},"Option.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/BasicAux.lean#L14-L16","name":"Option.get!","line":14,"kind":"def","docLink":"./Init/Data/Option/BasicAux.html#Option.get!","doc":""},"Option.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Instances.lean#L26-L28","name":"Option.format","line":26,"kind":"def","docLink":"./Init/Data/Format/Instances.html#Option.format","doc":""},"Option.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L46-L48","name":"Option.filter","line":46,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.filter","doc":""},"Option.eq_of_eq_some":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Instances.lean#L11-L15","name":"Option.eq_of_eq_some","line":11,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_of_eq_some","doc":""},"Option.eq_none_of_isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Instances.lean#L17-L18","name":"Option.eq_none_of_isNone","line":17,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_none_of_isNone","doc":""},"Option.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L33-L35","name":"Option.bind","line":33,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.bind","doc":""},"Option.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L54-L56","name":"Option.any","line":54,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.any","doc":""},"Option.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L50-L52","name":"Option.all","line":50,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.all","doc":""},"Option":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2139-L2143","name":"Option","line":2139,"kind":"inductive","docLink":"./Init/Prelude.html#Option","doc":"`Option α` is the type of values which are either `some a` for some `a : α`,\nor `none`. In functional programming languages, this type is used to represent\nthe possibility of failure, or sometimes nullability.\n\nFor example, the function `HashMap.find? : HashMap α β → α → Option β` looks up\na specified key `a : α` inside the map. Because we do not know in advance\nwhether the key is actually in the map, the return type is `Option β`, where\n`none` means the value was not in the map, and `some b` means that the value\nwas found and `b` is the value retrieved.\n\nTo extract a value from an `Option α`, we use pattern matching:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n match x with\n | some a => some (f a)\n | none => none\n```\nWe can also use `if let` to pattern match on `Option` and get the value\nin the branch:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n if let some a := x then\n some (f a)\n else\n none\n```\n"},"Op.sub":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L88-L88","name":"Op.sub","line":88,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.sub","doc":""},"Op.map2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L89-L89","name":"Op.map2d","line":89,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.map2d","doc":""},"Op.fill2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L90-L90","name":"Op.fill2d","line":90,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.fill2d","doc":""},"Op.extract2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L91-L91","name":"Op.extract2d","line":91,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.extract2d","doc":""},"Op.constTensor":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constTensor","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constTensor","doc":""},"Op.constIx":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constIx","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constIx","doc":""},"Op.constInt":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constInt","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constInt","doc":""},"Op.add":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L85-L85","name":"Op.add","line":85,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.add","doc":""},"Op":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L84-L91","name":"Op","line":84,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op","doc":""},"OfScientific.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L17-L17","name":"OfScientific.ofScientific","line":17,"kind":"def","docLink":"./Init/Data/OfScientific.html#OfScientific.ofScientific","doc":""},"OfScientific.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L16-L16","name":"OfScientific.mk","line":16,"kind":"ctor","docLink":"./Init/Data/OfScientific.html#OfScientific.mk","doc":""},"OfScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L16-L17","name":"OfScientific","line":16,"kind":"class","docLink":"./Init/Data/OfScientific.html#OfScientific","doc":"For decimal and scientific numbers (e.g., `1.23`, `3.12e10`).\nExamples:\n- `OfScientific.ofScientific 123 true 2` represents `1.23`\n- `OfScientific.ofScientific 121 false 100` represents `121e100`\n"},"OfNat.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1066-L1066","name":"OfNat.ofNat","line":1066,"kind":"def","docLink":"./Init/Prelude.html#OfNat.ofNat","doc":"The `OfNat.ofNat` function is automatically inserted by the parser when\nthe user writes a numeric literal like `1 : α`. Implementations of this\ntypeclass can therefore customize the behavior of `n : α` based on `n` and\n`α`. "},"OfNat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1061-L1061","name":"OfNat.mk","line":1061,"kind":"ctor","docLink":"./Init/Prelude.html#OfNat.mk","doc":""},"OfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1061-L1066","name":"OfNat","line":1061,"kind":"class","docLink":"./Init/Prelude.html#OfNat","doc":"The class `OfNat α n` powers the numeric literal parser. If you write\n`37 : α`, lean will attempt to synthesize `OfNat α 37`, and will generate\nthe term `(OfNat.ofNat 37 : α)`.\n\nThere is a bit of infinite regress here since the desugaring apparently\nstill contains a literal `37` in it. The type of expressions contains a\nprimitive constructor for \"raw natural number literals\", which you can directly\naccess using the macro `nat_lit 37`. Raw number literals are always of type `Nat`.\nSo it would be more correct to say that lean looks for an instance of\n`OfNat α (nat_lit 37)`, and it generates the term `(OfNat.ofNat (nat_lit 37) : α)`.\n"},"Not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L211-L211","name":"Not","line":211,"kind":"def","docLink":"./Init/Prelude.html#Not","doc":"`Not p`, or `¬p`, is the negation of `p`. It is defined to be `p → False`,\nso if your goal is `¬p` you can use `intro h` to turn the goal into\n`h : p ⊢ False`, and if you have `hn : ¬p` and `h : p` then `hn h : False`\nand `(hn h).elim` will prove anything.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"NonemptyType.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L771-L772","name":"NonemptyType.type","line":771,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType.type","doc":"The underlying type of a `NonemptyType`. "},"NonemptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L768-L768","name":"NonemptyType","line":768,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType","doc":"`NonemptyType.{u}` is the type of nonempty types in universe `u`.\nIt is mainly used in constant declarations where we wish to introduce a type\nand simultaneously assert that it is nonempty, but otherwise make the type\nopaque.\n"},"Nonempty.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L687-L688","name":"Nonempty.intro","line":687,"kind":"ctor","docLink":"./Init/Prelude.html#Nonempty.intro","doc":"If `val : α`, then `α` is nonempty. "},"Nonempty.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L720-L722","name":"Nonempty.elim","line":720,"kind":"def","docLink":"./Init/Prelude.html#Nonempty.elim","doc":"The elimination principle for `Nonempty α`. If `Nonempty α`, and we can\nprove `p` given any element `x : α`, then `p` holds. Note that it is essential\nthat `p` is a `Prop` here; the version with `p` being a `Sort u` is equivalent\nto `Classical.choice`.\n"},"Nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L686-L688","name":"Nonempty","line":686,"kind":"class","docLink":"./Init/Prelude.html#Nonempty","doc":"`Nonempty α` is a typeclass that says that `α` is not an empty type,\nthat is, there exists an element in the type. It differs from `Inhabited α`\nin that `Nonempty α` is a `Prop`, which means that it does not actually carry\nan element of `α`, only a proof that *there exists* such an element.\nGiven `Nonempty α`, you can construct an element of `α` *nonconstructively*\nusing `Classical.choice`.\n"},"NonScalar.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L442-L442","name":"NonScalar.val","line":442,"kind":"def","docLink":"./Init/Core.html#NonScalar.val","doc":"You should not use this function "},"NonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L441-L441","name":"NonScalar.mk","line":441,"kind":"ctor","docLink":"./Init/Core.html#NonScalar.mk","doc":"You should not use this function "},"NonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L440-L442","name":"NonScalar","line":440,"kind":"structure","docLink":"./Init/Core.html#NonScalar","doc":"`NonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n"},"Neg.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1284-L1284","name":"Neg.neg","line":1284,"kind":"def","docLink":"./Init/Prelude.html#Neg.neg","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"Neg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1281-L1281","name":"Neg.mk","line":1281,"kind":"ctor","docLink":"./Init/Prelude.html#Neg.mk","doc":""},"Neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1281-L1284","name":"Neg","line":1281,"kind":"class","docLink":"./Init/Prelude.html#Neg","doc":"The notation typeclass for negation.\nThis enables the notation `-a : α` where `a : α`.\n"},"Ne.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L575-L576","name":"Ne.symm","line":575,"kind":"theorem","docLink":"./Init/Core.html#Ne.symm","doc":""},"Ne.irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L573-L573","name":"Ne.irrefl","line":573,"kind":"theorem","docLink":"./Init/Core.html#Ne.irrefl","doc":""},"Ne.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L569-L569","name":"Ne.intro","line":569,"kind":"theorem","docLink":"./Init/Core.html#Ne.intro","doc":""},"Ne.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L571-L571","name":"Ne.elim","line":571,"kind":"theorem","docLink":"./Init/Core.html#Ne.elim","doc":""},"Ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L560-L561","name":"Ne","line":560,"kind":"def","docLink":"./Init/Core.html#Ne","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"Nat.zero_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L629-L632","name":"Nat.zero_sub","line":629,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_sub","doc":""},"Nat.zero_ne_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L429-L430","name":"Nat.zero_ne_one","line":429,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_ne_one","doc":""},"Nat.zero_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L165-L167","name":"Nat.zero_mul","line":165,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_mul","doc":""},"Nat.zero_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L147-L152","name":"Nat.zero_mod","line":147,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.zero_mod","doc":""},"Nat.zero_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1586-L1587","name":"Nat.zero_lt_succ","line":1586,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_lt_succ","doc":""},"Nat.zero_lt_sub_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L547-L555","name":"Nat.zero_lt_sub_of_lt","line":547,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_sub_of_lt","doc":""},"Nat.zero_lt_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L401-L402","name":"Nat.zero_lt_one","line":401,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_one","doc":""},"Nat.zero_lt_of_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L322-L325","name":"Nat.zero_lt_of_ne_zero","line":322,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_ne_zero","doc":""},"Nat.zero_lt_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L316-L320","name":"Nat.zero_lt_of_lt","line":316,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_lt","doc":""},"Nat.zero_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1578-L1580","name":"Nat.zero_le","line":1578,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_le","doc":""},"Nat.zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L83-L83","name":"Nat.zero_eq","line":83,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_eq","doc":""},"Nat.zero_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L114-L116","name":"Nat.zero_add","line":114,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_add","doc":""},"Nat.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1039-L1041","name":"Nat.zero","line":1039,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.zero","doc":"`Nat.zero`, normally written `0 : Nat`, is the smallest natural number.\nThis is one of the two constructors of `Nat`. "},"Nat.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L38-L38","name":"Nat.xor","line":38,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.xor","doc":""},"Nat.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L292-L292","name":"Nat.toUSize","line":292,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUSize","doc":""},"Nat.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L14-L14","name":"Nat.toUInt8","line":14,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt8","doc":""},"Nat.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L207-L207","name":"Nat.toUInt64","line":207,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt64","doc":""},"Nat.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L155-L155","name":"Nat.toUInt32","line":155,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt32","doc":""},"Nat.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L81-L81","name":"Nat.toUInt16","line":81,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt16","doc":""},"Nat.toSuperscriptString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L162-L163","name":"Nat.toSuperscriptString","line":162,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperscriptString","doc":""},"Nat.toSuperDigitsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L152-L157","name":"Nat.toSuperDigitsAux","line":152,"kind":"opaque","docLink":"./Init/Data/Repr.html#Nat.toSuperDigitsAux","doc":""},"Nat.toSuperDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L159-L160","name":"Nat.toSuperDigits","line":159,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperDigits","doc":""},"Nat.toLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L640-L641","name":"Nat.toLevel","line":640,"kind":"def","docLink":"./Lean/Level.html#Nat.toLevel","doc":""},"Nat.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L55-L56","name":"Nat.toFloat","line":55,"kind":"def","docLink":"./Init/Data/OfScientific.html#Nat.toFloat","doc":""},"Nat.toDigitsCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L125-L131","name":"Nat.toDigitsCore","line":125,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigitsCore","doc":""},"Nat.toDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L133-L134","name":"Nat.toDigits","line":133,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigits","doc":""},"Nat.superDigitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L139-L150","name":"Nat.superDigitChar","line":139,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.superDigitChar","doc":""},"Nat.succ_sub_succ_eq_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L218-L221","name":"Nat.succ_sub_succ_eq_sub","line":218,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ_eq_sub","doc":""},"Nat.succ_sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L247-L248","name":"Nat.succ_sub_succ","line":247,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ","doc":""},"Nat.succ_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L564-L567","name":"Nat.succ_pred","line":564,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_pred","doc":""},"Nat.succ_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1608-L1609","name":"Nat.succ_pos","line":1608,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_pos","doc":""},"Nat.succ_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L432-L433","name":"Nat.succ_ne_zero","line":432,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_ne_zero","doc":""},"Nat.succ_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L169-L172","name":"Nat.succ_mul","line":169,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_mul","doc":""},"Nat.succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L209-L210","name":"Nat.succ_lt_succ","line":209,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_lt_succ","doc":""},"Nat.succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1582-L1584","name":"Nat.succ_le_succ","line":1582,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_le_succ","doc":""},"Nat.succ_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L313-L314","name":"Nat.succ_le_of_lt","line":313,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_le_of_lt","doc":""},"Nat.succ_eq_add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L128-L129","name":"Nat.succ_eq_add_one","line":128,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_eq_add_one","doc":""},"Nat.succ_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L118-L120","name":"Nat.succ_add","line":118,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_add","doc":""},"Nat.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1042-L1044","name":"Nat.succ","line":1042,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.succ","doc":"The successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. "},"Nat.sub_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L215-L216","name":"Nat.sub_zero","line":215,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_zero","doc":""},"Nat.sub_succ_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L557-L562","name":"Nat.sub_succ_lt_self","line":557,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ_lt_self","doc":""},"Nat.sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L244-L245","name":"Nat.sub_succ","line":244,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ","doc":""},"Nat.sub_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L706-L709","name":"Nat.sub_sub","line":706,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_sub","doc":""},"Nat.sub_self_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L634-L636","name":"Nat.sub_self_add","line":634,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self_add","doc":""},"Nat.sub_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L250-L252","name":"Nat.sub_self","line":250,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self","doc":""},"Nat.sub_ne_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L569-L573","name":"Nat.sub_ne_zero_of_lt","line":569,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_ne_zero_of_lt","doc":""},"Nat.sub_lt_sub_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L623-L627","name":"Nat.sub_lt_sub_left","line":623,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt_sub_left","doc":""},"Nat.sub_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L236-L242","name":"Nat.sub_lt","line":236,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt","doc":""},"Nat.sub_le_succ_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L542-L545","name":"Nat.sub_le_succ_sub","line":542,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_succ_sub","doc":""},"Nat.sub_le_of_le_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L642-L651","name":"Nat.sub_le_of_le_add","line":642,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_of_le_add","doc":""},"Nat.sub_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L231-L234","name":"Nat.sub_le","line":231,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le","doc":""},"Nat.sub_eq_zero_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L638-L640","name":"Nat.sub_eq_zero_of_le","line":638,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_zero_of_le","doc":""},"Nat.sub_eq_of_eq_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L610-L611","name":"Nat.sub_eq_of_eq_add","line":610,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_of_eq_add","doc":""},"Nat.sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L86-L86","name":"Nat.sub_eq","line":86,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq","doc":""},"Nat.sub_add_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L254-L257","name":"Nat.sub_add_eq","line":254,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_eq","doc":""},"Nat.sub_add_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L583-L584","name":"Nat.sub_add_cancel","line":583,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_cancel","doc":""},"Nat.sub.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L689-L696","name":"Nat.sub.elim","line":689,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub.elim","doc":""},"Nat.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1716-L1718","name":"Nat.sub","line":1716,"kind":"def","docLink":"./Init/Prelude.html#Nat.sub","doc":"(Truncated) subtraction of natural numbers. Because natural numbers are not\nclosed under subtraction, we define `n - m` to be `0` when `n < m`.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.strongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L169-L173","name":"Nat.strongInductionOn","line":169,"kind":"theorem","docLink":"./Init/WF.html#Nat.strongInductionOn","doc":""},"Nat.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L44-L46","name":"Nat.shiftRight","line":44,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftRight","doc":""},"Nat.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L40-L42","name":"Nat.shiftLeft","line":40,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftLeft","doc":""},"Nat.right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L189-L190","name":"Nat.right_distrib","line":189,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.right_distrib","doc":""},"Nat.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L136-L137","name":"Nat.repr","line":136,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.repr","doc":""},"Nat.repeat_eq_repeatTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L762-L764","name":"Nat.repeat_eq_repeatTR.go","line":762,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR.go","doc":""},"Nat.repeat_eq_repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L760-L765","name":"Nat.repeat_eq_repeatTR","line":760,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR","doc":""},"Nat.repeatTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L70-L72","name":"Nat.repeatTR.loop","line":70,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR.loop","doc":""},"Nat.repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L69-L73","name":"Nat.repeatTR","line":69,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR","doc":"Tail-recursive version of `Nat.repeat`. "},"Nat.repeat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L64-L66","name":"Nat.repeat","line":64,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat","doc":"`Nat.repeat f n a` is `f^(n) a`; that is, it iterates `f` `n` times on `a`.\n* `Nat.repeat f 3 a = f <| f <| f <| a`\n"},"Nat.pred_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L683-L684","name":"Nat.pred_zero","line":683,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_zero","doc":""},"Nat.pred_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L686-L687","name":"Nat.pred_succ","line":686,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_succ","doc":""},"Nat.pred_lt'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L527-L528","name":"Nat.pred_lt'","line":527,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt'","doc":""},"Nat.pred_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L227-L229","name":"Nat.pred_lt","line":227,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt","doc":""},"Nat.pred_le_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1623-L1626","name":"Nat.pred_le_pred","line":1623,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.pred_le_pred","doc":""},"Nat.pred_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L223-L225","name":"Nat.pred_le","line":223,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_le","doc":""},"Nat.pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1619-L1621","name":"Nat.pred","line":1619,"kind":"def","docLink":"./Init/Prelude.html#Nat.pred","doc":"The predecessor function on natural numbers.\n\nThis definition is overridden in the compiler to use `n - 1` instead.\nThe definition provided here is the logical model.\n"},"Nat.pow_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L476-L476","name":"Nat.pow_zero","line":476,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_zero","doc":""},"Nat.pow_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L473-L474","name":"Nat.pow_succ","line":473,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_succ","doc":""},"Nat.pow_le_pow_of_le_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L482-L492","name":"Nat.pow_le_pow_of_le_right","line":482,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_right","doc":""},"Nat.pow_le_pow_of_le_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L478-L480","name":"Nat.pow_le_pow_of_le_left","line":478,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_left","doc":""},"Nat.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1479-L1481","name":"Nat.pow","line":1479,"kind":"def","docLink":"./Init/Prelude.html#Nat.pow","doc":"The power operation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.pos_pow_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L494-L495","name":"Nat.pos_pow_of_pos","line":494,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pos_pow_of_pos","doc":""},"Nat.pos_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L36-L40","name":"Nat.pos_of_isPowerOfTwo","line":36,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.pos_of_isPowerOfTwo","doc":""},"Nat.one_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L426-L427","name":"Nat.one_ne_zero","line":426,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_ne_zero","doc":""},"Nat.one_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L181-L182","name":"Nat.one_mul","line":181,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_mul","doc":""},"Nat.one_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L29-L30","name":"Nat.one_isPowerOfTwo","line":29,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.one_isPowerOfTwo","doc":""},"Nat.not_succ_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1571-L1573","name":"Nat.not_succ_le_zero","line":1571,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_zero","doc":""},"Nat.not_succ_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1655-L1657","name":"Nat.not_succ_le_self","line":1655,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_self","doc":""},"Nat.not_lt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1575-L1576","name":"Nat.not_lt_zero","line":1575,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_lt_zero","doc":""},"Nat.not_lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L727-L728","name":"Nat.not_lt_eq","line":727,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_lt_eq","doc":""},"Nat.not_le_of_not_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1693-L1694","name":"Nat.not_le_of_not_ble_eq_true","line":1693,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_le_of_not_ble_eq_true","doc":""},"Nat.not_le_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L360-L365","name":"Nat.not_le_of_gt","line":360,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_of_gt","doc":""},"Nat.not_le_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L721-L722","name":"Nat.not_le_eq","line":721,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_eq","doc":""},"Nat.not_gt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L730-L731","name":"Nat.not_gt_eq","line":730,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_gt_eq","doc":""},"Nat.not_ge_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L724-L725","name":"Nat.not_ge_eq","line":724,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_ge_eq","doc":""},"Nat.not_eq_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L522-L525","name":"Nat.not_eq_zero_of_lt","line":522,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_eq_zero_of_lt","doc":""},"Nat.not_beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L105-L110","name":"Nat.not_beq_eq_true_eq","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_beq_eq_true_eq","doc":""},"Nat.nextPowerOfTwo_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L11-L14","name":"Nat.nextPowerOfTwo_dec","line":11,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo_dec","doc":""},"Nat.nextPowerOfTwo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L19-L23","name":"Nat.nextPowerOfTwo.go","line":19,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo.go","doc":""},"Nat.nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L16-L25","name":"Nat.nextPowerOfTwo","line":16,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo","doc":""},"Nat.ne_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L329-L330","name":"Nat.ne_of_lt","line":329,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ne_of_lt","doc":""},"Nat.ne_of_beq_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1513-L1519","name":"Nat.ne_of_beq_eq_false","line":1513,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ne_of_beq_eq_false","doc":""},"Nat.mul_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L159-L160","name":"Nat.mul_zero","line":159,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_zero","doc":""},"Nat.mul_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L162-L163","name":"Nat.mul_succ","line":162,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_succ","doc":""},"Nat.mul_sub_right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L711-L714","name":"Nat.mul_sub_right_distrib","line":711,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_right_distrib","doc":""},"Nat.mul_sub_left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L716-L717","name":"Nat.mul_sub_left_distrib","line":716,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_left_distrib","doc":""},"Nat.mul_pred_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L703-L704","name":"Nat.mul_pred_right","line":703,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_right","doc":""},"Nat.mul_pred_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L698-L701","name":"Nat.mul_pred_left","line":698,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_left","doc":""},"Nat.mul_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L455-L457","name":"Nat.mul_pos","line":455,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pos","doc":""},"Nat.mul_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L178-L179","name":"Nat.mul_one","line":178,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_one","doc":""},"Nat.mul_lt_mul_of_pos_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L452-L453","name":"Nat.mul_lt_mul_of_pos_right","line":452,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_right","doc":""},"Nat.mul_lt_mul_of_pos_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L449-L450","name":"Nat.mul_lt_mul_of_pos_left","line":449,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_left","doc":""},"Nat.mul_left_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L202-L203","name":"Nat.mul_left_comm","line":202,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_left_comm","doc":""},"Nat.mul_le_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L443-L444","name":"Nat.mul_le_mul_right","line":443,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_right","doc":""},"Nat.mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L437-L441","name":"Nat.mul_le_mul_left","line":437,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_left","doc":""},"Nat.mul_le_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L446-L447","name":"Nat.mul_le_mul","line":446,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul","doc":""},"Nat.mul_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L85-L85","name":"Nat.mul_eq","line":85,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_eq","doc":""},"Nat.mul_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L174-L176","name":"Nat.mul_comm","line":174,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_comm","doc":""},"Nat.mul_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L198-L200","name":"Nat.mul_assoc","line":198,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_assoc","doc":""},"Nat.mul_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L192-L193","name":"Nat.mul_add","line":192,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_add","doc":""},"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L32-L34","name":"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","line":32,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","doc":""},"Nat.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1463-L1465","name":"Nat.mul","line":1463,"kind":"def","docLink":"./Init/Prelude.html#Nat.mul","doc":"Multiplication of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.mod_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L105-L109","name":"Nat.mod_zero","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_zero","doc":""},"Nat.mod_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L154-L155","name":"Nat.mod_self","line":154,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_self","doc":""},"Nat.mod_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L157-L164","name":"Nat.mod_one","line":157,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_one","doc":""},"Nat.mod_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L122-L138","name":"Nat.mod_lt","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_lt","doc":""},"Nat.mod_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L140-L145","name":"Nat.mod_le","line":140,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_le","doc":""},"Nat.mod_eq_sub_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L117-L120","name":"Nat.mod_eq_sub_mod","line":117,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_sub_mod","doc":""},"Nat.mod_eq_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L111-L115","name":"Nat.mod_eq_of_lt","line":111,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_of_lt","doc":""},"Nat.mod_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L94-L95","name":"Nat.mod_eq","line":94,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq","doc":""},"Nat.modCore_eq_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L87-L92","name":"Nat.modCore_eq_mod","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.modCore_eq_mod","doc":""},"Nat.modCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L68-L73","name":"Nat.modCore","line":68,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.modCore","doc":""},"Nat.mod.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L97-L103","name":"Nat.mod.inductionOn","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod.inductionOn","doc":""},"Nat.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L76-L83","name":"Nat.mod","line":76,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.mod","doc":""},"Nat.min_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L506-L506","name":"Nat.min_def","line":506,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.min_def","doc":""},"Nat.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L504-L504","name":"Nat.min","line":504,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.min","doc":"`Nat.min a b` is the minimum of `a` and `b`:\n* if `a ≤ b` then `Nat.min a b = a`\n* if `b ≤ a` then `Nat.min a b = b`\n"},"Nat.max_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L517-L517","name":"Nat.max_def","line":517,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.max_def","doc":""},"Nat.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L515-L515","name":"Nat.max","line":515,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.max","doc":"`Nat.max a b` is the maximum of `a` and `b`:\n* if `a ≤ b` then `Nat.max a b = b`\n* if `b ≤ a` then `Nat.max a b = a`\n"},"Nat.lt_wfRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L151-L167","name":"Nat.lt_wfRel","line":151,"kind":"def","docLink":"./Init/WF.html#Nat.lt_wfRel","doc":""},"Nat.lt_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1596-L1597","name":"Nat.lt_trans","line":1596,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_trans","doc":""},"Nat.lt_succ_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L294-L294","name":"Nat.lt_succ_self","line":294,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_self","doc":""},"Nat.lt_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L212-L213","name":"Nat.lt_succ_of_le","line":212,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_of_le","doc":""},"Nat.lt_sub_of_add_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L679-L681","name":"Nat.lt_sub_of_add_lt","line":679,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_sub_of_add_lt","doc":""},"Nat.lt_or_ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1644-L1653","name":"Nat.lt_or_ge","line":1644,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_or_ge","doc":""},"Nat.lt_of_succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L307-L308","name":"Nat.lt_of_succ_lt_succ","line":307,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt_succ","doc":""},"Nat.lt_of_succ_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L304-L305","name":"Nat.lt_of_succ_lt","line":304,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt","doc":""},"Nat.lt_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L310-L311","name":"Nat.lt_of_succ_le","line":310,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_le","doc":""},"Nat.lt_of_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L259-L260","name":"Nat.lt_of_lt_of_le","line":259,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_le","doc":""},"Nat.lt_of_lt_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L262-L263","name":"Nat.lt_of_lt_of_eq","line":262,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_eq","doc":""},"Nat.lt_of_le_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1670-L1673","name":"Nat.lt_of_le_of_ne","line":1670,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_ne","doc":""},"Nat.lt_of_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1662-L1663","name":"Nat.lt_of_le_of_lt","line":1662,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_lt","doc":""},"Nat.lt_irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1659-L1660","name":"Nat.lt_irrefl","line":1659,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_irrefl","doc":""},"Nat.lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L87-L87","name":"Nat.lt_eq","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_eq","doc":""},"Nat.lt.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L286-L286","name":"Nat.lt.step","line":286,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.step","doc":""},"Nat.lt.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L292-L292","name":"Nat.lt.base","line":292,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.base","doc":""},"Nat.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1565-L1566","name":"Nat.lt","line":1565,"kind":"def","docLink":"./Init/Prelude.html#Nat.lt","doc":"The strict less than relation on natural numbers is defined as `n < m := n + 1 ≤ m`. "},"Nat.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L36-L36","name":"Nat.lor","line":36,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.lor","doc":""},"Nat.log2_terminates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Log2.lean#L12-L19","name":"Nat.log2_terminates","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_terminates","doc":""},"Nat.log2_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Log2.lean#L31-L37","name":"Nat.log2_le_self","line":31,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_le_self","doc":""},"Nat.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Log2.lean#L27-L29","name":"Nat.log2","line":27,"kind":"def","docLink":"./Init/Data/Nat/Log2.html#Nat.log2","doc":"Computes `⌊max 0 (log₂ n)⌋`.\n\n`log2 0 = log2 1 = 0`, `log2 2 = 1`, ..., `log2 (2^i) = i`, etc.\n"},"Nat.left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L184-L187","name":"Nat.left_distrib","line":184,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.left_distrib","doc":""},"Nat.le_zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L154-L155","name":"Nat.le_zero_eq","line":154,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Nat.le_zero_eq","doc":""},"Nat.le_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1592-L1594","name":"Nat.le_trans","line":1592,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_trans","doc":""},"Nat.le_total":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L296-L299","name":"Nat.le_total","line":296,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_total","doc":""},"Nat.le_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1602-L1603","name":"Nat.le_succ_of_le","line":1602,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ_of_le","doc":""},"Nat.le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1599-L1600","name":"Nat.le_succ","line":1599,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ","doc":""},"Nat.le_sub_of_add_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L660-L666","name":"Nat.le_sub_of_add_le","line":660,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_sub_of_add_le","doc":""},"Nat.le_step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1589-L1590","name":"Nat.le_step","line":1589,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_step","doc":""},"Nat.le_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1605-L1606","name":"Nat.le_refl","line":1605,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_refl","doc":""},"Nat.le_or_eq_of_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L332-L338","name":"Nat.le_or_eq_of_le_succ","line":332,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_or_eq_of_le_succ","doc":""},"Nat.le_of_succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1628-L1629","name":"Nat.le_of_succ_le_succ","line":1628,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_succ_le_succ","doc":""},"Nat.le_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L280-L281","name":"Nat.le_of_succ_le","line":280,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_succ_le","doc":""},"Nat.le_of_mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L459-L462","name":"Nat.le_of_mul_le_mul_left","line":459,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_mul_le_mul_left","doc":""},"Nat.le_of_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1631-L1632","name":"Nat.le_of_lt_succ","line":1631,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_lt_succ","doc":""},"Nat.le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L283-L284","name":"Nat.le_of_lt","line":283,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_lt","doc":""},"Nat.le_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L277-L278","name":"Nat.le_of_eq","line":277,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_eq","doc":""},"Nat.le_of_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1675-L1678","name":"Nat.le_of_ble_eq_true","line":1675,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_ble_eq_true","doc":""},"Nat.le_of_add_le_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L417-L419","name":"Nat.le_of_add_le_add_right","line":417,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_add_le_add_right","doc":""},"Nat.le_of_add_le_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec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`n ≤ m`, then `n ≤ m + 1`. "},"Nat.le.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1556-L1557","name":"Nat.le.refl","line":1556,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.le.refl","doc":"Less-equal is reflexive: `n ≤ n` "},"Nat.le.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L357-L358","name":"Nat.le.intro","line":357,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.intro","doc":""},"Nat.le.dest":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L347-L355","name":"Nat.le.dest","line":347,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.dest","doc":""},"Nat.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1555-L1559","name":"Nat.le","line":1555,"kind":"inductive","docLink":"./Init/Prelude.html#Nat.le","doc":"An inductive definition of the less-equal relation on natural numbers,\ncharacterized as the least relation `≤` such that `n ≤ n` and `n ≤ m → n ≤ m + 1`.\n"},"Nat.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L34-L34","name":"Nat.land","line":34,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.land","doc":""},"Nat.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2041-L2042","name":"Nat.isValidChar","line":2041,"kind":"def","docLink":"./Init/Prelude.html#Nat.isValidChar","doc":"A `Nat` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L46-L50","name":"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","line":46,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","doc":""},"Nat.isPowerOfTwo_nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L42-L52","name":"Nat.isPowerOfTwo_nextPowerOfTwo","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo","doc":""},"Nat.isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L27-L27","name":"Nat.isPowerOfTwo","line":27,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo","doc":""},"Nat.instXorNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L50-L50","name":"Nat.instXorNat","line":50,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instXorNat","doc":""},"Nat.instTransNatLtInstLTNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L271-L272","name":"Nat.instTransNatLtInstLTNatLeInstLENat","line":271,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNatLeInstLENat","doc":""},"Nat.instTransNatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L265-L266","name":"Nat.instTransNatLtInstLTNat","line":265,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L274-L275","name":"Nat.instTransNatLeInstLENatLtInstLTNat","line":274,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L268-L269","name":"Nat.instTransNatLeInstLENat","line":268,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENat","doc":""},"Nat.instShiftRightNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L52-L52","name":"Nat.instShiftRightNat","line":52,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftRightNat","doc":""},"Nat.instShiftLeftNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L51-L51","name":"Nat.instShiftLeftNat","line":51,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftLeftNat","doc":""},"Nat.instOrOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L49-L49","name":"Nat.instOrOpNat","line":49,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instOrOpNat","doc":""},"Nat.instModNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L85-L85","name":"Nat.instModNat","line":85,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instModNat","doc":""},"Nat.instMaxNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L508-L508","name":"Nat.instMaxNat","line":508,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instMaxNat","doc":""},"Nat.instLawfulBEqNatInstBEqNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L100-L102","name":"Nat.instLawfulBEqNatInstBEqNat","line":100,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instLawfulBEqNatInstBEqNat","doc":""},"Nat.instDivNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L23-L23","name":"Nat.instDivNat","line":23,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instDivNat","doc":""},"Nat.instAntisymmNatNotLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L380-L381","name":"Nat.instAntisymmNatNotLtInstLTNat","line":380,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatNotLtInstLTNat","doc":""},"Nat.instAntisymmNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L377-L378","name":"Nat.instAntisymmNatLeInstLENat","line":377,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatLeInstLENat","doc":""},"Nat.instAndOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L48-L48","name":"Nat.instAndOpNat","line":48,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instAndOpNat","doc":""},"Nat.imax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L14-L15","name":"Nat.imax","line":14,"kind":"def","docLink":"./Lean/Level.html#Nat.imax","doc":""},"Nat.gt_of_not_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L367-L370","name":"Nat.gt_of_not_le","line":367,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.gt_of_not_le","doc":""},"Nat.ge_of_not_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L372-L375","name":"Nat.ge_of_not_lt","line":372,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ge_of_not_lt","doc":""},"Nat.gcd_zero_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L30-L36","name":"Nat.gcd_zero_right","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_right","doc":""},"Nat.gcd_zero_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L20-L21","name":"Nat.gcd_zero_left","line":20,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_left","doc":""},"Nat.gcd_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L23-L24","name":"Nat.gcd_succ","line":23,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_succ","doc":""},"Nat.gcd_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L38-L39","name":"Nat.gcd_self","line":38,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_self","doc":""},"Nat.gcd_one_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L26-L28","name":"Nat.gcd_one_left","line":26,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_one_left","doc":""},"Nat.gcd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L17-L18","name":"Nat.gcd","line":17,"kind":"def","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd","doc":""},"Nat.forRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L20-L22","name":"Nat.forRevM.loop","line":20,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM.loop","doc":""},"Nat.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L19-L23","name":"Nat.forRevM","line":19,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM","doc":""},"Nat.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L14-L16","name":"Nat.forM.loop","line":14,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM.loop","doc":""},"Nat.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L13-L17","name":"Nat.forM","line":13,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM","doc":""},"Nat.fold_eq_foldTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L737-L739","name":"Nat.fold_eq_foldTR.go","line":737,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR.go","doc":""},"Nat.fold_eq_foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L735-L740","name":"Nat.fold_eq_foldTR","line":735,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR","doc":""},"Nat.foldTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L23-L25","name":"Nat.foldTR.loop","line":23,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR.loop","doc":""},"Nat.foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L22-L26","name":"Nat.foldTR","line":22,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR","doc":"Tail-recursive version of `Nat.fold`. "},"Nat.foldRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L32-L34","name":"Nat.foldRevM.loop","line":32,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM.loop","doc":""},"Nat.foldRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L31-L35","name":"Nat.foldRevM","line":31,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM","doc":""},"Nat.foldRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L32-L34","name":"Nat.foldRev","line":32,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldRev","doc":"`Nat.foldRev` evaluates `f` on the numbers up to `n` exclusive, in decreasing order:\n* `Nat.foldRev f 3 init = f 0 <| f 1 <| f 2 <| init`\n"},"Nat.foldM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L26-L28","name":"Nat.foldM.loop","line":26,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM.loop","doc":""},"Nat.foldM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L25-L29","name":"Nat.foldM","line":25,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM","doc":""},"Nat.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L17-L19","name":"Nat.fold","line":17,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.fold","doc":"`Nat.fold` evaluates `f` on the numbers up to `n` exclusive, in increasing order:\n* `Nat.fold f 3 init = init |> f 0 |> f 1 |> f 2`\n"},"Nat.eq_zero_or_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L288-L290","name":"Nat.eq_zero_or_pos","line":288,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_or_pos","doc":""},"Nat.eq_zero_of_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L301-L302","name":"Nat.eq_zero_of_le_zero","line":301,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_of_le_zero","doc":""},"Nat.eq_or_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1634-L1642","name":"Nat.eq_or_lt_of_le","line":1634,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_or_lt_of_le","doc":""},"Nat.eq_of_mul_eq_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L468-L469","name":"Nat.eq_of_mul_eq_mul_right","line":468,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_right","doc":""},"Nat.eq_of_mul_eq_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L464-L466","name":"Nat.eq_of_mul_eq_mul_left","line":464,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_left","doc":""},"Nat.eq_of_beq_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1504-L1511","name":"Nat.eq_of_beq_eq_true","line":1504,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_of_beq_eq_true","doc":""},"Nat.eq_add_of_sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L607-L608","name":"Nat.eq_add_of_sub_eq","line":607,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_add_of_sub_eq","doc":""},"Nat.div_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L12-L13","name":"Nat.div_rec_lemma","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_rec_lemma","doc":""},"Nat.div_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L56-L65","name":"Nat.div_lt_self","line":56,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_lt_self","doc":""},"Nat.div_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L42-L54","name":"Nat.div_le_self","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_le_self","doc":""},"Nat.div_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L25-L28","name":"Nat.div_eq","line":25,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_eq","doc":""},"Nat.div_add_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L166-L175","name":"Nat.div_add_mod","line":166,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_add_mod","doc":""},"Nat.div.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L30-L40","name":"Nat.div.inductionOn","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div.inductionOn","doc":""},"Nat.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L16-L21","name":"Nat.div","line":16,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.div","doc":""},"Nat.digitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L106-L123","name":"Nat.digitChar","line":106,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.digitChar","doc":""},"Nat.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1701-L1702","name":"Nat.decLt","line":1701,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLt","doc":""},"Nat.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1697-L1698","name":"Nat.decLe","line":1697,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLe","doc":""},"Nat.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1529-L1532","name":"Nat.decEq","line":1529,"kind":"def","docLink":"./Init/Prelude.html#Nat.decEq","doc":"A decision procedure for equality of natural numbers.\n\nThis definition is overridden in the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.ctor_eq_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L423-L424","name":"Nat.ctor_eq_zero","line":423,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ctor_eq_zero","doc":""},"Nat.caseStrongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L175-L183","name":"Nat.caseStrongInductionOn","line":175,"kind":"theorem","docLink":"./Init/WF.html#Nat.caseStrongInductionOn","doc":""},"Nat.blt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L98-L98","name":"Nat.blt_eq","line":98,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.blt_eq","doc":""},"Nat.blt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L76-L77","name":"Nat.blt","line":76,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.blt","doc":"Boolean less-than of natural numbers. "},"Nat.ble_succ_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1684-L1686","name":"Nat.ble_succ_eq_true","line":1684,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_succ_eq_true","doc":""},"Nat.ble_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1680-L1682","name":"Nat.ble_self_eq_true","line":1680,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_self_eq_true","doc":""},"Nat.ble_eq_true_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1688-L1691","name":"Nat.ble_eq_true_of_le","line":1688,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_eq_true_of_le","doc":""},"Nat.ble_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L97-L97","name":"Nat.ble_eq","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ble_eq","doc":""},"Nat.ble":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1545-L1549","name":"Nat.ble","line":1545,"kind":"def","docLink":"./Init/Prelude.html#Nat.ble","doc":"The (Boolean) less-equal relation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.bitwise_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L13-L14","name":"Nat.bitwise_rec_lemma","line":13,"kind":"theorem","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise_rec_lemma","doc":""},"Nat.bitwise":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L16-L31","name":"Nat.bitwise","line":16,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise","doc":""},"Nat.beq_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L92-L94","name":"Nat.beq_refl","line":92,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_refl","doc":""},"Nat.beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L104-L104","name":"Nat.beq_eq_true_eq","line":104,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq_true_eq","doc":""},"Nat.beq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L96-L96","name":"Nat.beq_eq","line":96,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq","doc":""},"Nat.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1495-L1499","name":"Nat.beq","line":1495,"kind":"def","docLink":"./Init/Prelude.html#Nat.beq","doc":"(Boolean) equality of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.any_eq_anyTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L744-L748","name":"Nat.any_eq_anyTR.go","line":744,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR.go","doc":""},"Nat.any_eq_anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L742-L749","name":"Nat.any_eq_anyTR","line":742,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR","doc":""},"Nat.anyTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L43-L45","name":"Nat.anyTR.loop","line":43,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR.loop","doc":""},"Nat.anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L42-L46","name":"Nat.anyTR","line":42,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR","doc":"Tail-recursive version of `Nat.any`. "},"Nat.anyM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L47-L52","name":"Nat.anyM.loop","line":47,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM.loop","doc":""},"Nat.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L46-L53","name":"Nat.anyM","line":46,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM","doc":""},"Nat.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L37-L39","name":"Nat.any","line":37,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.any","doc":"`any f n = true` iff there is `i in [0, n-1]` s.t. `f i = true` "},"Nat.all_eq_allTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L753-L757","name":"Nat.all_eq_allTR.go","line":753,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR.go","doc":""},"Nat.all_eq_allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L751-L758","name":"Nat.all_eq_allTR","line":751,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR","doc":""},"Nat.allTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L55-L57","name":"Nat.allTR.loop","line":55,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR.loop","doc":""},"Nat.allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L54-L58","name":"Nat.allTR","line":54,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR","doc":"Tail-recursive version of `Nat.all`. "},"Nat.allM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L38-L43","name":"Nat.allM.loop","line":38,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM.loop","doc":""},"Nat.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L37-L44","name":"Nat.allM","line":37,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM","doc":""},"Nat.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L49-L51","name":"Nat.all","line":49,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.all","doc":"`all f n = true` iff every `i in [0, n-1]` satisfies `f i = true` "},"Nat.add_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L457-L457","name":"Nat.add_zero","line":457,"kind":"theorem","docLink":"./Init/Core.html#Nat.add_zero","doc":""},"Nat.add_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L122-L123","name":"Nat.add_succ","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_succ","doc":""},"Nat.add_sub_self_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L539-L540","name":"Nat.add_sub_self_right","line":539,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_right","doc":""},"Nat.add_sub_self_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L532-L537","name":"Nat.add_sub_self_left","line":532,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_left","doc":""},"Nat.add_sub_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L575-L581","name":"Nat.add_sub_of_le","line":575,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_of_le","doc":""},"Nat.add_sub_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L598-L600","name":"Nat.add_sub_cancel_left","line":598,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel_left","doc":""},"Nat.add_sub_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L594-L596","name":"Nat.add_sub_cancel","line":594,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel","doc":""},"Nat.add_sub_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L602-L605","name":"Nat.add_sub_assoc","line":602,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_assoc","doc":""},"Nat.add_sub_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L586-L589","name":"Nat.add_sub_add_right","line":586,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_right","doc":""},"Nat.add_sub_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L591-L592","name":"Nat.add_sub_add_left","line":591,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_left","doc":""},"Nat.add_right_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L145-L146","name":"Nat.add_right_comm","line":145,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_comm","doc":""},"Nat.add_right_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L153-L155","name":"Nat.add_right_cancel","line":153,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_cancel","doc":""},"Nat.add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L125-L126","name":"Nat.add_one","line":125,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_one","doc":""},"Nat.add_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L195-L196","name":"Nat.add_mul","line":195,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_mul","doc":""},"Nat.add_lt_of_lt_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L668-L677","name":"Nat.add_lt_of_lt_sub","line":668,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_of_lt_sub","doc":""},"Nat.add_lt_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L398-L399","name":"Nat.add_lt_add_right","line":398,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_right","doc":""},"Nat.add_lt_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L395-L396","name":"Nat.add_lt_add_left","line":395,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_left","doc":""},"Nat.add_lt_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L407-L408","name":"Nat.add_lt_add","line":407,"kind":"theorem","docLink":"./Init/Data/Nat/Ba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We use `fixedVar` for encoding numerals.\nThe denotation of `fixedVar` is always `1`. 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type of natural numbers, starting at zero. It is defined as an\ninductive type freely generated by \"zero is a natural number\" and\n\"the successor of a natural number is a natural number\".\n\nYou can prove a theorem `P n` about `n : Nat` by `induction n`, which will\nexpect a proof of the theorem for `P 0`, and a proof of `P (succ i)` assuming\na proof of `P i`. The same method also works to define functions by recursion\non natural numbers: induction and recursion are two expressions of the same\noperation from lean's point of view.\n\n```\nopen Nat\nexample (n : Nat) : n < succ n := by\n induction n with\n | zero =>\n show 0 < 1\n decide\n | succ i ih => -- ih : i < succ i\n show succ i < succ (succ i)\n exact Nat.succ_lt_succ ih\n```\n\nThis type is special-cased by both the kernel and the compiler:\n* The type of expressions contains \"`Nat` literals\" as a primitive constructor,\n and the kernel knows how to reduce zero/succ expressions to nat literals.\n* If implemented naively, this type would represent a numeral `n` in unary as a\n linked list with `n` links, which is horribly inefficient. Instead, the\n runtime itself has a special representation for `Nat` which stores numbers up\n to 2^63 directly and larger numbers use an arbitrary precision \"bignum\"\n library (usually [GMP](https://gmplib.org/)).\n"},"Mul.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1275-L1275","name":"Mul.mul","line":1275,"kind":"def","docLink":"./Init/Prelude.html#Mul.mul","doc":"`a * b` computes the product of `a` and `b`. See `HMul`. "},"Mul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1273-L1273","name":"Mul.mk","line":1273,"kind":"ctor","docLink":"./Init/Prelude.html#Mul.mk","doc":""},"Mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1273-L1275","name":"Mul","line":1273,"kind":"class","docLink":"./Init/Prelude.html#Mul","doc":"The homogeneous version of `HMul`: `a * b : α` where `a b : α`. "},"MonadWithReaderOf.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3062-L3062","name":"MonadWithReaderOf.withReader","line":3062,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReaderOf.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3059-L3059","name":"MonadWithReaderOf.mk","line":3059,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReaderOf.mk","doc":""},"MonadWithReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3059-L3062","name":"MonadWithReaderOf","line":3059,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReaderOf","doc":"`MonadWithReaderOf ρ` adds the operation `withReader : (ρ → ρ) → m α → m α`.\nThis runs the inner `x : m α` inside a modified context after applying the\nfunction `f : ρ → ρ`. In addition to `ReaderT` itself, this operation lifts\nover most monad transformers, so it allows us to apply `withReader` to monads\ndeeper in the stack.\n"},"MonadWithReader.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3076-L3076","name":"MonadWithReader.withReader","line":3076,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReader.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3073-L3073","name":"MonadWithReader.mk","line":3073,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReader.mk","doc":""},"MonadWithReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3073-L3076","name":"MonadWithReader","line":3073,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReader","doc":"Similar to `MonadWithReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadStateOf.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3099-L3099","name":"MonadStateOf.set","line":3099,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadStateOf.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3106-L3106","name":"MonadStateOf.modifyGet","line":3106,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadStateOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3095-L3095","name":"MonadStateOf.mk","line":3095,"kind":"ctor","docLink":"./Init/Prelude.html#MonadStateOf.mk","doc":""},"MonadStateOf.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3097-L3097","name":"MonadStateOf.get","line":3097,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadStateOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3095-L3106","name":"MonadStateOf","line":3095,"kind":"class","docLink":"./Init/Prelude.html#MonadStateOf","doc":"An implementation of [`MonadState`]. In contrast to the Haskell implementation,\nwe use overlapping instances to derive instances automatically from `monadLift`.\n\n [`MonadState`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-State-Class.html\n"},"MonadState.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3138-L3138","name":"MonadState.set","line":3138,"kind":"def","docLink":"./Init/Prelude.html#MonadState.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadState.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3145-L3145","name":"MonadState.modifyGet","line":3145,"kind":"def","docLink":"./Init/Prelude.html#MonadState.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3134-L3134","name":"MonadState.mk","line":3134,"kind":"ctor","docLink":"./Init/Prelude.html#MonadState.mk","doc":""},"MonadState.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3136-L3136","name":"MonadState.get","line":3136,"kind":"def","docLink":"./Init/Prelude.html#MonadState.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3134-L3145","name":"MonadState","line":3134,"kind":"class","docLink":"./Init/Prelude.html#MonadState","doc":"Similar to `MonadStateOf`, but `σ` is an `outParam` for convenience. "},"MonadShareCommon.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L87-L87","name":"MonadShareCommon.withShareCommon","line":87,"kind":"def","docLink":"./Init/ShareCommon.html#MonadShareCommon.withShareCommon","doc":""},"MonadShareCommon.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L86-L86","name":"MonadShareCommon.mk","line":86,"kind":"ctor","docLink":"./Init/ShareCommon.html#MonadShareCommon.mk","doc":""},"MonadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L86-L87","name":"MonadShareCommon","line":86,"kind":"class","docLink":"./Init/ShareCommon.html#MonadShareCommon","doc":""},"MonadReaderOf.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3026-L3026","name":"MonadReaderOf.read","line":3026,"kind":"def","docLink":"./Init/Prelude.html#MonadReaderOf.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3024-L3024","name":"MonadReaderOf.mk","line":3024,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReaderOf.mk","doc":""},"MonadReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3024-L3026","name":"MonadReaderOf","line":3024,"kind":"class","docLink":"./Init/Prelude.html#MonadReaderOf","doc":"An implementation of Haskell's [`MonadReader`] (sans functional dependency; see also `MonadReader`\nin this module). It does not contain `local` because this\nfunction cannot be lifted using `monadLift`. `local` is instead provided by\nthe `MonadWithReader` class as `withReader`.\n\nNote: This class can be seen as a simplification of the more \"principled\" definition\n```\nclass MonadReaderOf (ρ : Type u) (n : Type u → Type u) where\n lift {α : Type u} : ({m : Type u → Type u} → [Monad m] → ReaderT ρ m α) → n α\n```\n\n [`MonadReader`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Reader-Class.html#t:MonadReader\n"},"MonadReader.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3039-L3039","name":"MonadReader.read","line":3039,"kind":"def","docLink":"./Init/Prelude.html#MonadReader.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3037-L3037","name":"MonadReader.mk","line":3037,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReader.mk","doc":""},"MonadReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3037-L3039","name":"MonadReader","line":3037,"kind":"class","docLink":"./Init/Prelude.html#MonadReader","doc":"Similar to `MonadReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadLiftT.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2797-L2797","name":"MonadLiftT.monadLift","line":2797,"kind":"def","docLink":"./Init/Prelude.html#MonadLiftT.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLiftT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2795-L2795","name":"MonadLiftT.mk","line":2795,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLiftT.mk","doc":""},"MonadLiftT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2795-L2797","name":"MonadLiftT","line":2795,"kind":"class","docLink":"./Init/Prelude.html#MonadLiftT","doc":"The reflexive-transitive closure of `MonadLift`. `monadLift` is used to\ntransitively lift monadic computations such as `StateT.get` or `StateT.put s`.\nCorresponds to Haskell's [`MonadLift`].\n\n [`MonadLift`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLift\n"},"MonadLift.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2786-L2786","name":"MonadLift.monadLift","line":2786,"kind":"def","docLink":"./Init/Prelude.html#MonadLift.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2784-L2784","name":"MonadLift.mk","line":2784,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLift.mk","doc":""},"MonadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2784-L2786","name":"MonadLift","line":2784,"kind":"class","docLink":"./Init/Prelude.html#MonadLift","doc":"A function for lifting a computation from an inner `Monad` to an outer `Monad`.\nLike Haskell's [`MonadTrans`], but `n` does not have to be a monad transformer.\nAlternatively, an implementation of [`MonadLayer`] without `layerInvmap` (so far).\n\n [`MonadTrans`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Class.html\n [`MonadLayer`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLayer\n"},"MonadFunctorT.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2829-L2829","name":"MonadFunctorT.monadMap","line":2829,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctorT.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctorT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2826-L2826","name":"MonadFunctorT.mk","line":2826,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctorT.mk","doc":""},"MonadFunctorT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2826-L2829","name":"MonadFunctorT","line":2826,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctorT","doc":"The reflexive-transitive closure of `MonadFunctor`.\n`monadMap` is used to transitively lift `Monad` morphisms. "},"MonadFunctor.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2822-L2822","name":"MonadFunctor.monadMap","line":2822,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctor.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2819-L2819","name":"MonadFunctor.mk","line":2819,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctor.mk","doc":""},"MonadFunctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2819-L2822","name":"MonadFunctor","line":2819,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctor","doc":"A functor in the category of monads. Can be used to lift monad-transforming functions.\nBased on [`MFunctor`] from the `pipes` Haskell package, but not restricted to\nmonad transformers. Alternatively, an implementation of [`MonadTransFunctor`].\n\n [`MFunctor`]: https://hackage.haskell.org/package/pipes-2.4.0/docs/Control-MFunctor.html\n [`MonadTransFunctor`]: http://duairc.netsoc.ie/layers-docs/Control-Monad-Layer.html#t:MonadTransFunctor\n"},"MonadFinally.tryFinally'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L180-L180","name":"MonadFinally.tryFinally'","line":180,"kind":"def","docLink":"./Init/Control/Except.html#MonadFinally.tryFinally'","doc":"`tryFinally' x f` runs `x` and then the \"finally\" computation `f`.\nWhen `x` succeeds with `a : α`, `f (some a)` is returned. If `x` fails\nfor `m`'s definition of failure, `f none` is returned. Hence `tryFinally'`\ncan be thought of as performing the same role as a `finally` block in\nan imperative programming language. "},"MonadFinally.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L174-L174","name":"MonadFinally.mk","line":174,"kind":"ctor","docLink":"./Init/Control/Except.html#MonadFinally.mk","doc":""},"MonadFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L174-L180","name":"MonadFinally","line":174,"kind":"class","docLink":"./Init/Control/Except.html#MonadFinally","doc":""},"MonadExceptOf.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2879-L2879","name":"MonadExceptOf.tryCatch","line":2879,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExceptOf.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2875-L2875","name":"MonadExceptOf.throw","line":2875,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExceptOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2872-L2872","name":"MonadExceptOf.mk","line":2872,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExceptOf.mk","doc":""},"MonadExceptOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2872-L2879","name":"MonadExceptOf","line":2872,"kind":"class","docLink":"./Init/Prelude.html#MonadExceptOf","doc":"An implementation of Haskell's [`MonadError`] class. A `MonadError ε m` is a\nmonad `m` with two operations:\n\n* `throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\n catch block\n* `tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n `body` and pass the resulting error to `handler`.\n Errors in `handler` will not be caught.\n\nThe `try ... catch e => ...` syntax inside `do` blocks is sugar for the\n`tryCatch` operation.\n\n [`MonadError`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Except.html#t:MonadError\n"},"MonadExcept.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2903-L2903","name":"MonadExcept.tryCatch","line":2903,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExcept.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2899-L2899","name":"MonadExcept.throw","line":2899,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExcept.orelse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L156-L157","name":"MonadExcept.orelse'","line":156,"kind":"def","docLink":"./Init/Control/Except.html#MonadExcept.orelse'","doc":"Alternative orelse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orelse` uses the second. "},"MonadExcept.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2920-L2921","name":"MonadExcept.orElse","line":2920,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.orElse","doc":"A `MonadExcept` can implement `t₁ <|> t₂` as `try t₁ catch _ => t₂`. "},"MonadExcept.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2906-L2908","name":"MonadExcept.ofExcept","line":2906,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.ofExcept","doc":"\"Unwraps\" an `Except ε α` to get the `α`, or throws the exception otherwise. "},"MonadExcept.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2896-L2896","name":"MonadExcept.mk","line":2896,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExcept.mk","doc":""},"MonadExcept.instOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2923-L2924","name":"MonadExcept.instOrElse","line":2923,"kind":"instance","docLink":"./Init/Prelude.html#MonadExcept.instOrElse","doc":""},"MonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2896-L2903","name":"MonadExcept","line":2896,"kind":"class","docLink":"./Init/Prelude.html#MonadExcept","doc":"Similar to `MonadExceptOf`, but `ε` is an `outParam` for convenience. "},"MonadControlT.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L196-L196","name":"MonadControlT.stM","line":196,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.stM","doc":""},"MonadControlT.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L198-L198","name":"MonadControlT.restoreM","line":198,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.restoreM","doc":""},"MonadControlT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L195-L195","name":"MonadControlT.mk","line":195,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControlT.mk","doc":""},"MonadControlT.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L197-L197","name":"MonadControlT.liftWith","line":197,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.liftWith","doc":""},"MonadControlT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L195-L198","name":"MonadControlT","line":195,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControlT","doc":"Transitive closure of MonadControl. "},"MonadControl.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L190-L190","name":"MonadControl.stM","line":190,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.stM","doc":""},"MonadControl.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L192-L192","name":"MonadControl.restoreM","line":192,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.restoreM","doc":""},"MonadControl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L189-L189","name":"MonadControl.mk","line":189,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControl.mk","doc":""},"MonadControl.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L191-L191","name":"MonadControl.liftWith","line":191,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.liftWith","doc":""},"MonadControl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L189-L192","name":"MonadControl","line":189,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControl","doc":"MonadControl is a way of stating that the monad `m` can be 'run inside' the monad `n`.\n\nThis is the same as [`MonadBaseControl`](https://hackage.haskell.org/package/monad-control-1.0.3.1/docs/Control-Monad-Trans-Control.html#t:MonadBaseControl) in Haskell.\nTo learn about `MonadControl`, see the comment above this docstring.\n\n"},"Monad.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2750-L2750","name":"Monad.mk","line":2750,"kind":"ctor","docLink":"./Init/Prelude.html#Monad.mk","doc":""},"Monad":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2750-L2754","name":"Monad","line":2750,"kind":"class","docLink":"./Init/Prelude.html#Monad","doc":"A [monad](https://en.wikipedia.org/wiki/Monad_(functional_programming)) is a\nstructure which abstracts the concept of sequential control flow.\nIt mainly consists of two operations:\n\n* `pure : α → F α`\n* `bind : F α → (α → F β) → F β` (written as `>>=`)\n\nLike many functional programming languages, Lean makes extensive use of monads\nfor structuring programs. In particular, the `do` notation is a very powerful\nsyntax over monad operations, and it depends on a `Monad` instance.\n\nSee [the `do` notation](https://leanprover.github.io/lean4/doc/do.html)\nchapter of the manual for details.\n"},"Mod.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1294-L1294","name":"Mod.mod","line":1294,"kind":"def","docLink":"./Init/Prelude.html#Mod.mod","doc":"`a % b` computes the remainder upon dividing `a` by `b`. See `HMod`. "},"Mod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1292-L1292","name":"Mod.mk","line":1292,"kind":"ctor","docLink":"./Init/Prelude.html#Mod.mk","doc":""},"Mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1292-L1294","name":"Mod","line":1292,"kind":"class","docLink":"./Init/Prelude.html#Mod","doc":"The homogeneous version of `HMod`: `a % b : α` where `a b : α`. "},"Min.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1101-L1101","name":"Min.mk","line":1101,"kind":"ctor","docLink":"./Init/Prelude.html#Min.mk","doc":""},"Min.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1103-L1103","name":"Min.min","line":1103,"kind":"def","docLink":"./Init/Prelude.html#Min.min","doc":"The minimum operation: `min x y`. "},"Min":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1101-L1103","name":"Min","line":1101,"kind":"class","docLink":"./Init/Prelude.html#Min","doc":"`Min α` is the typeclass which supports the operation `min x y` where `x y : α`."},"Membership.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1430-L1430","name":"Membership.mk","line":1430,"kind":"ctor","docLink":"./Init/Prelude.html#Membership.mk","doc":""},"Membership.mem.upper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L79-L81","name":"Membership.mem.upper","line":79,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.upper","doc":""},"Membership.mem.lower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L83-L85","name":"Membership.mem.lower","line":83,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.lower","doc":""},"Membership.mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1432-L1432","name":"Membership.mem","line":1432,"kind":"def","docLink":"./Init/Prelude.html#Membership.mem","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"Membership":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1430-L1432","name":"Membership","line":1430,"kind":"class","docLink":"./Init/Prelude.html#Membership","doc":"The typeclass behind the notation `a ∈ s : Prop` where `a : α`, `s : γ`.\nBecause `α` is an `outParam`, the \"container type\" `γ` determines the type\nof the elements of the container.\n"},"Max.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1088-L1088","name":"Max.mk","line":1088,"kind":"ctor","docLink":"./Init/Prelude.html#Max.mk","doc":""},"Max.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1090-L1090","name":"Max.max","line":1090,"kind":"def","docLink":"./Init/Prelude.html#Max.max","doc":"The maximum operation: `max x y`. "},"Max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1088-L1090","name":"Max","line":1088,"kind":"class","docLink":"./Init/Prelude.html#Max","doc":"`Max α` is the typeclass which supports the operation `max x y` where `x y : α`."},"MProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L492-L492","name":"MProd.snd","line":492,"kind":"def","docLink":"./Init/Prelude.html#MProd.snd","doc":"The second projection out of a pair. if `p : MProd α β` then `p.2 : β`. "},"MProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L488-L488","name":"MProd.mk","line":488,"kind":"ctor","docLink":"./Init/Prelude.html#MProd.mk","doc":""},"MProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L490-L490","name":"MProd.fst","line":490,"kind":"def","docLink":"./Init/Prelude.html#MProd.fst","doc":"The first projection out of a pair. if `p : MProd α β` then `p.1 : α`. "},"MProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L488-L492","name":"MProd","line":488,"kind":"structure","docLink":"./Init/Prelude.html#MProd","doc":"Similar to `Prod`, but `α` and `β` are in the same universe.\nWe say `MProd` is the universe monomorphic product type.\n"},"List.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L548-L550","name":"List.zipWith","line":548,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zipWith","doc":"`O(min |xs| |ys|)`. Applies `f` to the two lists in parallel, stopping at the shorter list.\n* `zipWith f [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [f x₁ y₁, f x₂ y₂, f x₃ y₃]`\n"},"List.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L557-L558","name":"List.zip","line":557,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zip","doc":"`O(min |xs| |ys|)`. Combines the two lists into a list of pairs, with one element from each list.\nThe longer list is truncated to match the shorter list.\n* `zip [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [(x₁, y₁), (x₂, y₂), (x₃, y₃)]`\n"},"List.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L564-L566","name":"List.unzip","line":564,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.unzip","doc":"`O(|l|)`. Separates a list of pairs into two lists containing the first components and second components.\n* `unzip [(x₁, y₁), (x₂, y₂), (x₃, y₃)] = ([x₁, x₂, x₃], [y₁, y₂, y₃])`\n"},"List.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L48-L51","name":"List.toString","line":48,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#List.toString","doc":""},"List.toSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/SSet.lean#L46-L47","name":"List.toSSet","line":46,"kind":"def","docLink":"./Lean/Data/SSet.html#List.toSSet","doc":""},"List.toPArray'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/PersistentArray.lean#L378-L380","name":"List.toPArray'.loop","line":378,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'.loop","doc":""},"List.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/PersistentArray.lean#L377-L381","name":"List.toPArray'","line":377,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'","doc":""},"List.toFloatArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L164-L166","name":"List.toFloatArray.loop","line":164,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray.loop","doc":""},"List.toFloatArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L163-L167","name":"List.toFloatArray","line":163,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray","doc":""},"List.toByteArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L189-L191","name":"List.toByteArray.loop","line":189,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray.loop","doc":""},"List.toByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L188-L192","name":"List.toByteArray","line":188,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray","doc":""},"List.toAssocList'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/AssocList.lean#L105-L107","name":"List.toAssocList'","line":105,"kind":"def","docLink":"./Lean/Data/AssocList.html#List.toAssocList'","doc":""},"List.toArray_eq_toArray_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L35-L38","name":"List.toArray_eq_toArray_eq","line":35,"kind":"theorem","docLink":"./Init/Data/Array/BasicAux.html#List.toArray_eq_toArray_eq","doc":""},"List.toArrayAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2638-L2640","name":"List.toArrayAux","line":2638,"kind":"def","docLink":"./Init/Prelude.html#List.toArrayAux","doc":"Auxiliary definition for `List.toArray`. "},"List.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2655-L2656","name":"List.toArray","line":2655,"kind":"def","docLink":"./Init/Prelude.html#List.toArray","doc":"Convert a `List α` into an `Array α`. This is O(n) in the length of the list.\n\nThis function is exported to C, where it is called by `Array.mk`\n(the constructor) to implement this functionality.\n"},"List.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L504-L508","name":"List.takeWhile","line":504,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.takeWhile","doc":"`O(|xs|)`. Returns the longest initial segment of `xs` for which `p` returns true.\n* `takeWhile (· > 5) [7, 6, 4, 8] = [7, 6]`\n* `takeWhile (· > 5) [7, 6, 6, 8] = [7, 6, 6, 8]`\n"},"List.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L494-L497","name":"List.take","line":494,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.take","doc":"`O(min n |xs|)`. Returns the first `n` elements of `xs`, or the whole list if `n` is too large.\n* `take 0 [a, b, c, d, e] = []`\n* `take 3 [a, b, c, d, e] = [a, b, c]`\n* `take 6 [a, b, c, d, e] = [a, b, c, d, e]`\n"},"List.tailD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L53-L55","name":"List.tailD","line":53,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tailD","doc":""},"List.tail?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L49-L51","name":"List.tail?","line":49,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail?","doc":""},"List.tail!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L45-L47","name":"List.tail!","line":45,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail!","doc":""},"List.tacticSizeOf_list_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L127-L132","name":"List.tacticSizeOf_list_dec","line":127,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tacticSizeOf_list_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf a < sizeOf as` when `a ∈ as`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : List T → T`. "},"List.span.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L426-L430","name":"List.span.loop","line":426,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span.loop","doc":""},"List.span":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L423-L430","name":"List.span","line":423,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span","doc":"`O(|l|)`. `span p l` splits the list `l` into two parts, where the first part\ncontains the longest initial segment for which `p` returns true\nand the second part is everything else.\n\n* `span (· > 5) [6, 8, 9, 5, 2, 9] = ([6, 8, 9], [5, 2, 9])`\n* `span (· > 10) [6, 8, 9, 5, 2, 9] = ([6, 8, 9, 5, 2, 9], [])`\n"},"List.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L119-L122","name":"List.sizeOf_lt_of_mem","line":119,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_lt_of_mem","doc":""},"List.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L11-L19","name":"List.sizeOf_get_lt","line":11,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#List.sizeOf_get_lt","doc":""},"List.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L160-L166","name":"List.sizeOf_get","line":160,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_get","doc":""},"List.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2220-L2223","name":"List.set","line":2220,"kind":"def","docLink":"./Init/Prelude.html#List.set","doc":"`l.set n a` sets the value of list `l` at (zero-based) index `n` to `a`:\n`[a, b, c, d].set 1 b' = [a, b', c, d]`\n"},"List.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L84-L92","name":"List.rotateRight","line":84,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateRight","doc":""},"List.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L74-L82","name":"List.rotateLeft","line":74,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateLeft","doc":""},"List.reverse_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L67-L68","name":"List.reverse_reverse","line":67,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_reverse","doc":""},"List.reverse_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L171-L172","name":"List.reverse_nil","line":171,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_nil","doc":""},"List.reverse_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L174-L176","name":"List.reverse_cons","line":174,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_cons","doc":""},"List.reverse_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L178-L181","name":"List.reverse_append","line":178,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_append","doc":""},"List.reverseAux_reverseAux_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L57-L60","name":"List.reverseAux_reverseAux_nil","line":57,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux_nil","doc":""},"List.reverseAux_reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L62-L65","name":"List.reverseAux_reverseAux","line":62,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux","doc":""},"List.reverseAux_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L163-L169","name":"List.reverseAux_eq_append","line":163,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_eq_append","doc":""},"List.reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L42-L44","name":"List.reverseAux","line":42,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverseAux","doc":"Auxiliary for `List.reverse`. `List.reverseAux l r = l.reverse ++ r`, but it is defined directly. "},"List.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L54-L55","name":"List.reverse","line":54,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverse","doc":"`O(|as|)`. Reverse of a list:\n* `[1, 2, 3, 4].reverse = [4, 3, 2, 1]`\n\nNote that because of the \"functional but in place\" optimization implemented by Lean's compiler,\nthis function works without any allocations provided that the input list is unshared:\nit simply walks the linked list and reverses all the node pointers.\n"},"List.repr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L246-L250","name":"List.repr'","line":246,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr'","doc":""},"List.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L237-L241","name":"List.repr","line":237,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr","doc":""},"List.replicate_eq_replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L752-L754","name":"List.replicate_eq_replicateTR","line":752,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicate_eq_replicateTR","doc":""},"List.replicateTR_loop_replicate_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L747-L750","name":"List.replicateTR_loop_replicate_eq","line":747,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicateTR_loop_replicate_eq","doc":""},"List.replicateTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L742-L744","name":"List.replicateTR.loop","line":742,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR.loop","doc":""},"List.replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L741-L745","name":"List.replicateTR","line":741,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR","doc":"Tail-recursive version of `List.replicate`. "},"List.replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L736-L738","name":"List.replicate","line":736,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicate","doc":"`replicate n a` is `n` copies of `a`:\n* `replicate 5 a = [a, a, a, a, a]`\n"},"List.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L320-L324","name":"List.replace","line":320,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replace","doc":"`O(|l|)`. `replace l a b` replaces the first element in the list equal to `a` with `b`.\n\n* `replace [1, 4, 2, 3, 3, 7] 3 6 = [1, 4, 2, 6, 3, 7]`\n* `replace [1, 4, 2, 3, 3, 7] 5 6 = [1, 4, 2, 3, 3, 7]`\n"},"List.removeAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L466-L467","name":"List.removeAll","line":466,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.removeAll","doc":"`O(|xs|)`. Computes the \"set difference\" of lists,\nby filtering out all elements of `xs` which are also in `ys`.\n* `removeAll [1, 1, 5, 1, 2, 4, 5] [1, 2, 2] = [5, 4, 5]`\n "},"List.redLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2644-L2646","name":"List.redLength","line":2644,"kind":"def","docLink":"./Init/Prelude.html#List.redLength","doc":"A non-tail-recursive version of `List.length`, used for `List.toArray`. "},"List.range.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L575-L577","name":"List.range.loop","line":575,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range.loop","doc":""},"List.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L572-L577","name":"List.range","line":572,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range","doc":"`O(n)`. `range n` is the numbers from `0` to `n` exclusive, in increasing order.\n* `range 5 = [0, 1, 2, 3, 4]`\n"},"List.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L646-L646","name":"List.pure","line":646,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.pure","doc":"`pure x = [x]` is the `pure` operation of the list monad. "},"List.partition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L270-L275","name":"List.partition.loop","line":270,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition.loop","doc":""},"List.partition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L267-L275","name":"List.partition","line":267,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition","doc":"`O(|l|)`. `partition p l` calls `p` on each element of `l`, partitioning the list into two lists\n`(l_true, l_false)` where `l_true` has the elements where `p` was true\nand `l_false` has the elements where `p` is false.\n`partition p l = (filter p l, filter (not ∘ p) l)`, but it is slightly more efficient\nsince it only has to do one pass over the list.\n```\npartition (· > 2) [1, 2, 5, 2, 7, 7] = ([5, 7, 7], [1, 2, 2])\n```\n"},"List.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L536-L536","name":"List.or","line":536,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.or","doc":"`O(|l|)`. Returns true if `true` is an element of the list of booleans `l`.\n* `or [a, b, c] = a || b || c`\n"},"List.of_concat_eq_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L841-L848","name":"List.of_concat_eq_concat","line":841,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.of_concat_eq_concat","doc":""},"List.notElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L339-L340","name":"List.notElem","line":339,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.notElem","doc":"`notElem a l` is `!(elem a l)`. "},"List.nil_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L92-L92","name":"List.nil_append","line":92,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.nil_append","doc":""},"List.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2183-L2184","name":"List.nil","line":2183,"kind":"ctor","docLink":"./Init/Prelude.html#List.nil","doc":"`[]` is the empty list. "},"List.minimum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L821-L823","name":"List.minimum?","line":821,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.minimum?","doc":"Returns the smallest element of the list, if it is not empty.\n* `[].minimum? = none`\n* `[4].minimum? = some 4`\n* `[1, 4, 2, 10, 6].minimum? = some 1`\n"},"List.mem_of_elem_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L359-L366","name":"List.mem_of_elem_eq_true","line":359,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_of_elem_eq_true","doc":""},"List.mem_append_of_mem_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L382-L386","name":"List.mem_append_of_mem_right","line":382,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_right","doc":""},"List.mem_append_of_mem_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L376-L380","name":"List.mem_append_of_mem_left","line":376,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_left","doc":""},"List.maximum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L811-L813","name":"List.maximum?","line":811,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.maximum?","doc":"Returns the largest element of the list, if it is not empty.\n* `[].maximum? = none`\n* `[4].maximum? = some 4`\n* `[1, 4, 2, 10, 6].maximum? = some 10`\n"},"List.map_eq_mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L192-L194","name":"List.map_eq_mapTR","line":192,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.map_eq_mapTR","doc":""},"List.mapTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L183-L190","name":"List.mapTR_loop_eq","line":183,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mapTR_loop_eq","doc":""},"List.mapTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L159-L161","name":"List.mapTR.loop","line":159,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR.loop","doc":""},"List.mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L156-L161","name":"List.mapTR","line":156,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR","doc":"Tail-recursive version of `List.map`. "},"List.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L202-L205","name":"List.mapMonoM","line":202,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMonoM","doc":"Monomorphic `List.mapM`. The internal implementation uses pointer equality, and does not allocate a new list\nif the result of each `f a` is a pointer equal value `a`.\n"},"List.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L207-L208","name":"List.mapMono","line":207,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMono","doc":""},"List.mapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L45-L47","name":"List.mapM.loop","line":45,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM.loop","doc":""},"List.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L44-L48","name":"List.mapM","line":44,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM","doc":""},"List.mapA":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L51-L53","name":"List.mapA","line":51,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapA","doc":""},"List.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L151-L153","name":"List.map","line":151,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.map","doc":"`O(|l|)`. `map f l` applies `f` to each element of the list.\n* `map f [a, b, c] = [f a, f b, f c]`\n"},"List.lt.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L657-L658","name":"List.lt.tail","line":657,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.tail","doc":"If `a` and `b` are equivalent and `as < bs`, then `a::as < b::bs`. "},"List.lt.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L653-L654","name":"List.lt.nil","line":653,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.nil","doc":"`[]` is the smallest element in the order. "},"List.lt.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L655-L656","name":"List.lt.head","line":655,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.head","doc":"If `a < b` then `a::as < b::bs`. "},"List.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L652-L658","name":"List.lt","line":652,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.lt","doc":"The lexicographic order on lists.\n`[] < a::as`, and `a::as < b::bs` if `a < b` or if `a` and `b` are equivalent and `as < bs`.\n"},"List.lookup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L456-L460","name":"List.lookup","line":456,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.lookup","doc":"`O(|l|)`. `lookup a l` treats `l : List (α × β)` like an association list,\nand returns the first `β` value corresponding to an `α` value in the list equal to `a`.\n\n* `lookup 3 [(1, 2), (3, 4), (3, 5)] = some 4`\n* `lookup 2 [(1, 2), (3, 4), (3, 5)] = none`\n"},"List.length_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L775-L781","name":"List.length_set","line":775,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_set","doc":""},"List.length_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L800-L803","name":"List.length_reverse","line":800,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_reverse","doc":""},"List.length_replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L767-L768","name":"List.length_replicate","line":767,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_replicate","doc":""},"List.length_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L38-L39","name":"List.length_nil","line":38,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_nil","doc":""},"List.length_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L795-L798","name":"List.length_map","line":795,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_map","doc":""},"List.length_eq_lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L34-L36","name":"List.length_eq_lengthTR","line":34,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_eq_lengthTR","doc":""},"List.length_dropLast_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L783-L788","name":"List.length_dropLast_cons","line":783,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_dropLast_cons","doc":""},"List.length_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2248-L2249","name":"List.length_cons","line":2248,"kind":"theorem","docLink":"./Init/Prelude.html#List.length_cons","doc":""},"List.length_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L770-L773","name":"List.length_concat","line":770,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_concat","doc":""},"List.length_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L790-L793","name":"List.length_append","line":790,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_append","doc":""},"List.length_add_eq_lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L27-L32","name":"List.length_add_eq_lengthTRAux","line":27,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_add_eq_lengthTRAux","doc":""},"List.lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2237-L2239","name":"List.lengthTRAux","line":2237,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTRAux","doc":"Auxiliary function for `List.lengthTR`. "},"List.lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2245-L2246","name":"List.lengthTR","line":2245,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTR","doc":"A tail-recursive version of `List.length`, used to implement `List.length`\nwithout running out of stack space.\n"},"List.length":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2232-L2234","name":"List.length","line":2232,"kind":"def","docLink":"./Init/Prelude.html#List.length","doc":"The length of a list: `[].length = 0` and `(a :: l).length = l.length + 1`.\n\nThis function is overridden in the compiler to `lengthTR`, which uses constant\nstack space, while leaving this function to use the \"naive\" recursion which is\neasier for reasoning.\n"},"List.le_antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L168-L182","name":"List.le_antisymm","line":168,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.le_antisymm","doc":""},"List.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L682-L682","name":"List.le","line":682,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.le","doc":"The lexicographic order on lists. "},"List.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L200-L202","name":"List.join","line":200,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.join","doc":"`O(|join L|)`. `join L` concatenates all the lists in `L` into one list.\n* `join [[a], [], [b, c], [d, e, f]] = [a, b, c, d, e, f]`\n"},"List.isSuffixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L709-L710","name":"List.isSuffixOf?","line":709,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf?","doc":"`isSuffixOf? l₁ l₂` returns `some t` when `l₂ == t ++ l₁`."},"List.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L705-L706","name":"List.isSuffixOf","line":705,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf","doc":"`isSuffixOf l₁ l₂` returns `true` Iff `l₁` is a suffix of `l₂`.\nThat is, there exists a `t` such that `l₂ == t ++ l₁`. "},"List.isPrefixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L697-L701","name":"List.isPrefixOf?","line":697,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf?","doc":"`isPrefixOf? l₁ l₂` returns `some t` when `l₂ == l₁ ++ t`. "},"List.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L691-L694","name":"List.isPrefixOf","line":691,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf","doc":"`isPrefixOf l₁ l₂` returns `true` Iff `l₁` is a prefix of `l₂`.\nThat is, there exists a `t` such that `l₂ == l₁ ++ t`. "},"List.isEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L716-L719","name":"List.isEqv","line":716,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEqv","doc":"`O(min |as| |bs|)`. Returns true if `as` and `bs` have the same length,\nand they are pairwise related by `eqv`.\n"},"List.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L143-L145","name":"List.isEmpty","line":143,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEmpty","doc":"`O(1)`. `isEmpty l` is true if the list is empty.\n* `isEmpty [] = true`\n* `isEmpty [a] = false`\n* `isEmpty [a, b] = false`\n"},"List.iota_eq_iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L595-L600","name":"List.iota_eq_iotaTR","line":595,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.iota_eq_iotaTR","doc":""},"List.iotaTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L589-L591","name":"List.iotaTR.go","line":589,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR.go","doc":""},"List.iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L588-L592","name":"List.iotaTR","line":588,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR","doc":"Tail-recursive version of `iota`. "},"List.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L583-L585","name":"List.iota","line":583,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iota","doc":"`O(n)`. `iota n` is the numbers from `1` to `n` inclusive, in decreasing order.\n* `iota 5 = [5, 4, 3, 2, 1]`\n"},"List.intersperse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L623-L626","name":"List.intersperse","line":623,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intersperse","doc":"`O(|l|)`. `intersperse sep l` alternates `sep` and the elements of `l`:\n* `intersperse sep [] = []`\n* `intersperse sep [a] = [a]`\n* `intersperse sep [a, b] = [a, sep, b]`\n* `intersperse sep [a, b, c] = [a, sep, b, sep, c]`\n"},"List.intercalate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L635-L636","name":"List.intercalate","line":635,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intercalate","doc":"`O(|xs|)`. `intercalate sep xs` alternates `sep` and the elements of `xs`:\n* `intercalate sep [] = []`\n* `intercalate sep [a] = a`\n* `intercalate sep [a, b] = a ++ sep ++ b`\n* `intercalate sep [a, b, c] = a ++ sep ++ b ++ sep ++ c`\n"},"List.instMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L356-L357","name":"List.instMembershipList","line":356,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instMembershipList","doc":""},"List.instLawfulBEqListInstBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L825-L839","name":"List.instLawfulBEqListInstBEqList","line":825,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLawfulBEqListInstBEqList","doc":""},"List.instLTList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L660-L660","name":"List.instLTList","line":660,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLTList","doc":""},"List.instLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L684-L684","name":"List.instLEList","line":684,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLEList","doc":""},"List.instGetElemListNatLtInstLTNatLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L18-L19","name":"List.instGetElemListNatLtInstLTNatLength","line":18,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instGetElemListNatLtInstLTNatLength","doc":""},"List.instFunctorList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L195-L196","name":"List.instFunctorList","line":195,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instFunctorList","doc":""},"List.instForMList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L187-L188","name":"List.instForMList","line":187,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForMList","doc":""},"List.instForInList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L150-L151","name":"List.instForInList","line":150,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForInList","doc":""},"List.instForIn'ListInferInstanceMembershipInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L175-L176","name":"List.instForIn'ListInferInstanceMembershipInstMembershipList","line":175,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForIn'ListInferInstanceMembershipInstMembershipList","doc":""},"List.instForAllListDecidableLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L686-L687","name":"List.instForAllListDecidableLeInstLEList","line":686,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instForAllListDecidableLeInstLEList","doc":""},"List.instEmptyCollectionList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L113-L113","name":"List.instEmptyCollectionList","line":113,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instEmptyCollectionList","doc":""},"List.instDecidableMemListInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L373-L374","name":"List.instDecidableMemListInstMembershipList","line":373,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instDecidableMemListInstMembershipList","doc":""},"List.instBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L730-L730","name":"List.instBEqList","line":730,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instBEqList","doc":""},"List.instAppendList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L90-L90","name":"List.instAppendList","line":90,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instAppendList","doc":""},"List.instAntisymmListLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L184-L185","name":"List.instAntisymmListLeInstLEList","line":184,"kind":"instance","docLink":"./Init/Data/List/BasicAux.html#List.instAntisymmListLeInstLEList","doc":""},"List.headD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L38-L40","name":"List.headD","line":38,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.headD","doc":""},"List.head?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L34-L36","name":"List.head?","line":34,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head?","doc":""},"List.head!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L30-L32","name":"List.head!","line":30,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head!","doc":""},"List.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L42-L43","name":"List.head","line":42,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head","doc":""},"List.hasDecidableLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L662-L679","name":"List.hasDecidableLt","line":662,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.hasDecidableLt","doc":""},"List.hasDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2193-L2203","name":"List.hasDecEq","line":2193,"kind":"def","docLink":"./Init/Prelude.html#List.hasDecEq","doc":"Implements decidable equality for `List α`, assuming `α` has decidable equality. "},"List.groupBy.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L443-L447","name":"List.groupBy.loop","line":443,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy.loop","doc":""},"List.groupBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L439-L447","name":"List.groupBy","line":439,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy","doc":"`O(|l|)`. `groupBy R l` splits `l` into chains of elements\nsuch that adjacent elements are related by `R`.\n\n* `groupBy (·==·) [1, 1, 2, 2, 2, 3, 2] = [[1, 1], [2, 2, 2], [3], [2]]`\n* `groupBy (·<·) [1, 2, 5, 4, 5, 1, 4] = [[1, 2, 5], [4, 5], [1, 4]]`\n"},"List.get_last":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L109-L117","name":"List.get_last","line":109,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_last","doc":""},"List.get_drop_eq_drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L483-L486","name":"List.get_drop_eq_drop","line":483,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.get_drop_eq_drop","doc":""},"List.get_append_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L102-L107","name":"List.get_append_right","line":102,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_right","doc":""},"List.get_append_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L94-L100","name":"List.get_append_left","line":94,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_left","doc":""},"List.getLastD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L70-L72","name":"List.getLastD","line":70,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLastD","doc":""},"List.getLast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L66-L68","name":"List.getLast?","line":66,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast?","doc":""},"List.getLast!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L62-L64","name":"List.getLast!","line":62,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast!","doc":""},"List.getLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L57-L60","name":"List.getLast","line":57,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast","doc":""},"List.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L27-L28","name":"List.getD","line":27,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getD","doc":""},"List.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L22-L25","name":"List.get?","line":22,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get?","doc":""},"List.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L17-L20","name":"List.get!","line":17,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get!","doc":""},"List.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2261-L2263","name":"List.get","line":2261,"kind":"def","docLink":"./Init/Prelude.html#List.get","doc":"`as.get i` returns the `i`'th element of the list `as`.\nThis version of the function uses `i : Fin as.length` to ensure that it will\nnot index out of bounds.\n"},"List.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Instances.lean#L16-L18","name":"List.format","line":16,"kind":"def","docLink":"./Init/Data/Format/Instances.html#List.format","doc":""},"List.forM_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L190-L191","name":"List.forM_nil","line":190,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_nil","doc":""},"List.forM_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L192-L193","name":"List.forM_cons","line":192,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_cons","doc":""},"List.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L56-L59","name":"List.forM","line":56,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forM","doc":""},"List.forIn_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L153-L154","name":"List.forIn_nil","line":153,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_nil","doc":""},"List.forIn_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L156-L158","name":"List.forIn_cons","line":156,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_cons","doc":""},"List.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L142-L147","name":"List.forIn.loop","line":142,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn.loop","doc":""},"List.forIn'_eq_forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L178-L185","name":"List.forIn'_eq_forIn","line":178,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn'_eq_forIn","doc":""},"List.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L161-L172","name":"List.forIn'.loop","line":161,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'.loop","doc":""},"List.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L160-L173","name":"List.forIn'","line":160,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'","doc":""},"List.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L141-L148","name":"List.forIn","line":141,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn","doc":""},"List.forA":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L62-L65","name":"List.forA","line":62,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forA","doc":""},"List.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L101-L102","name":"List.foldrM","line":101,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldrM","doc":""},"List.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L514-L516","name":"List.foldr","line":514,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.foldr","doc":"`O(|l|)`. Applies function `f` to all of the elements of the list, from right to left.\n* `foldr f init [a, b, c] = f a <| f b <| f c <| init`\n"},"List.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L94-L98","name":"List.foldlM","line":94,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldlM","doc":""},"List.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2212-L2214","name":"List.foldl","line":2212,"kind":"def","docLink":"./Init/Prelude.html#List.foldl","doc":"Folds a function over a list from the left:\n`foldl f z [a, b, c] = f (f (f z a) b) c`\n"},"List.firstM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L105-L107","name":"List.firstM","line":105,"kind":"def","docLink":"./Init/Data/List/Control.html#List.firstM","doc":""},"List.findSomeM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L134-L139","name":"List.findSomeM?","line":134,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findSomeM?","doc":""},"List.findSome?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L308-L312","name":"List.findSome?","line":308,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.findSome?","doc":"`O(|l|)`. `findSome? f l` applies `f` to each element of `l`, and returns the first non-`none` result.\n\n* `findSome? (fun x => if x < 5 then some (10 * x) else none) [7, 6, 5, 8, 1, 2, 6] = some 10`\n"},"List.findM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L126-L131","name":"List.findM?","line":126,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findM?","doc":""},"List.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L297-L301","name":"List.find?","line":297,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.find?","doc":"`O(|l|)`. `find? p l` returns the first element for which `p` returns true,\nor `none` if no such element is found.\n\n* `find? (· < 5) [7, 6, 5, 8, 1, 2, 6] = some 1`\n* `find? (· < 1) [7, 6, 5, 8, 1, 2, 6] = none`\n"},"List.filter_eq_filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L253-L255","name":"List.filter_eq_filterTR","line":253,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filter_eq_filterTR","doc":""},"List.filterTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L243-L251","name":"List.filterTR_loop_eq","line":243,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filterTR_loop_eq","doc":""},"List.filterTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L237-L241","name":"List.filterTR.loop","line":237,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR.loop","doc":""},"List.filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L234-L241","name":"List.filterTR","line":234,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR","doc":"Tail-recursive version of `List.filter`. "},"List.filterRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L80-L81","name":"List.filterRevM","line":80,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterRevM","doc":""},"List.filterMapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L85-L90","name":"List.filterMapM.loop","line":85,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM.loop","doc":""},"List.filterMapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L84-L91","name":"List.filterMapM","line":84,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM","doc":""},"List.filterMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L214-L219","name":"List.filterMap","line":214,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterMap","doc":"`O(|l|)`. `filterMap f l` takes a function `f : α → Option β` and applies it to each element of `l`;\nthe resulting non-`none` values are collected to form the output list.\n```\nfilterMap\n (fun x => if x > 2 then some (2 * x) else none)\n [1, 2, 5, 2, 7, 7]\n= [10, 14, 14]\n```\n"},"List.filterM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L75-L77","name":"List.filterM","line":75,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterM","doc":""},"List.filterAuxM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L68-L72","name":"List.filterAuxM","line":68,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterAuxM","doc":""},"List.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L227-L231","name":"List.filter","line":227,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filter","doc":"`O(|l|)`. `filter f l` returns the list of elements in `l` for which `f` returns true.\n```\nfilter (· > 2) [1, 2, 5, 2, 7, 7] = [5, 7, 7]\n```\n"},"List.eraseReps.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L409-L413","name":"List.eraseReps.loop","line":409,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps.loop","doc":""},"List.eraseReps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L405-L413","name":"List.eraseReps","line":405,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps","doc":"`O(|l|)`. Erase repeated adjacent elements. Keeps the first occurrence of each run.\n* `eraseReps [1, 3, 2, 2, 2, 3, 5] = [1, 3, 2, 3, 5]`\n"},"List.eraseIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L132-L135","name":"List.eraseIdx","line":132,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseIdx","doc":"`O(i)`. `eraseIdx l i` removes the `i`'th element of the list `l`.\n* `erase [a, b, c, d, e] 0 = [b, c, d, e]`\n* `erase [a, b, c, d, e] 1 = [a, c, d, e]`\n* `erase [a, b, c, d, e] 5 = [a, b, c, d, e]`\n"},"List.eraseDups.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L395-L399","name":"List.eraseDups.loop","line":395,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups.loop","doc":""},"List.eraseDups":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L392-L399","name":"List.eraseDups","line":392,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups","doc":"`O(|l|^2)`. Erase duplicated elements in the list.\nKeeps the first occurrence of duplicated elements.\n* `eraseDups [1, 3, 2, 2, 3, 5] = [1, 3, 2, 5]`\n"},"List.erase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L120-L124","name":"List.erase","line":120,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.erase","doc":"`O(|l|)`. `erase l a` removes the first occurrence of `a` from `l`.\n* `erase [1, 5, 3, 2, 5] 5 = [1, 3, 2, 5]`\n* `erase [1, 5, 3, 2, 5] 6 = [1, 5, 3, 2, 5]`\n"},"List.enumFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L606-L608","name":"List.enumFrom","line":606,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enumFrom","doc":"`O(|l|)`. `enumFrom n l` is like `enum` but it allows you to specify the initial index.\n* `enumFrom 5 [a, b, c] = [(5, a), (6, b), (7, c)]`\n"},"List.enum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L614-L614","name":"List.enum","line":614,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enum","doc":"`O(|l|)`. `enum l` pairs up each element with its index in the list.\n* `enum [a, b, c] = [(0, a), (1, b), (2, c)]`\n"},"List.elem_eq_true_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L368-L371","name":"List.elem_eq_true_of_mem","line":368,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.elem_eq_true_of_mem","doc":""},"List.elem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L332-L336","name":"List.elem","line":332,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.elem","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.drop_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L480-L481","name":"List.drop_nil","line":480,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_nil","doc":""},"List.drop_eq_nil_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L853-L857","name":"List.drop_eq_nil_of_le","line":853,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_eq_nil_of_le","doc":""},"List.dropWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L284-L288","name":"List.dropWhile","line":284,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropWhile","doc":"`O(|l|)`. `dropWhile p l` removes elements from the list until it finds the first element\nfor which `p` returns false; this element and everything after it is returned.\n```\ndropWhile (· < 4) [1, 3, 2, 4, 2, 7, 4] = [4, 2, 7, 4]\n```\n"},"List.dropLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L762-L765","name":"List.dropLast","line":762,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropLast","doc":"Removes the last element of the list.\n* `dropLast [] = []`\n* `dropLast [a] = []`\n* `dropLast [a, b, c] = [a, b]`\n"},"List.drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L475-L478","name":"List.drop","line":475,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.drop","doc":"`O(min n |xs|)`. Removes the first `n` elements of `xs`.\n* `drop 0 [a, b, c, d, e] = [a, b, c, d, e]`\n* `drop 3 [a, b, c, d, e] = [d, e]`\n* `drop 6 [a, b, c, d, e] = []`\n"},"List.contains":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L342-L343","name":"List.contains","line":342,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.contains","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.cons_getElem_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L21-L22","name":"List.cons_getElem_zero","line":21,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_zero","doc":""},"List.cons_getElem_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L24-L25","name":"List.cons_getElem_succ","line":24,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_succ","doc":""},"List.cons_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L99-L99","name":"List.cons_append","line":99,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_append","doc":""},"List.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2185-L2187","name":"List.cons","line":2185,"kind":"ctor","docLink":"./Init/Prelude.html#List.cons","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"List.concat_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L850-L851","name":"List.concat_eq_append","line":850,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.concat_eq_append","doc":""},"List.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2252-L2254","name":"List.concat","line":2252,"kind":"def","docLink":"./Init/Prelude.html#List.concat","doc":"`l.concat a` appends `a` at the *end* of `l`, that is, `l ++ [a]`. "},"List.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L643-L643","name":"List.bind","line":643,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.bind","doc":"`bind xs f` is the bind operation of the list monad. It applies `f` to each element of `xs`\nto get a list of lists, and then concatenates them all together.\n* `[2, 3, 2].bind range = [0, 1, 0, 1, 2, 0, 1]`\n"},"List.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L725-L728","name":"List.beq","line":725,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.beq","doc":"The equality relation on lists asserts that they have the same length\nand they are pairwise `BEq`.\n"},"List.asString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L12-L13","name":"List.asString","line":12,"kind":"def","docLink":"./Init/Data/String/Basic.html#List.asString","doc":""},"List.append_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L93-L97","name":"List.append_nil","line":93,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_nil","doc":""},"List.append_eq_appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L82-L88","name":"List.append_eq_appendTR","line":82,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq_appendTR","doc":""},"List.append_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L101-L101","name":"List.append_eq","line":101,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq","doc":""},"List.append_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L108-L111","name":"List.append_cons","line":108,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_cons","doc":""},"List.append_cancel_right_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L155-L158","name":"List.append_cancel_right_eq","line":155,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right_eq","doc":""},"List.append_cancel_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L143-L148","name":"List.append_cancel_right","line":143,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right","doc":""},"List.append_cancel_left_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L150-L153","name":"List.append_cancel_left_eq","line":150,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left_eq","doc":""},"List.append_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L136-L141","name":"List.append_cancel_left","line":136,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left","doc":""},"List.append_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L103-L106","name":"List.append_assoc","line":103,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_assoc","doc":""},"List.appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L79-L80","name":"List.appendTR","line":79,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.appendTR","doc":"Tail-recursive version of `List.append`. "},"List.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L74-L76","name":"List.append","line":74,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.append","doc":"`O(|xs|)`: append two lists. `[1, 2, 3] ++ [4, 5] = [1, 2, 3, 4, 5]`.\nIt takes time proportional to the first list.\n"},"List.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L110-L115","name":"List.anyM","line":110,"kind":"def","docLink":"./Init/Data/List/Control.html#List.anyM","doc":""},"List.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L522-L523","name":"List.any","line":522,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.any","doc":"`O(|l|)`. Returns true if `p` is true for any element of `l`.\n* `any p [a, b, c] = p a || p b || p c`\n"},"List.and":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L542-L542","name":"List.and","line":542,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.and","doc":"`O(|l|)`. Returns true if every element of `l` is the value `true`.\n* `and [a, b, c] = a && b && c`\n"},"List.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L118-L123","name":"List.allM","line":118,"kind":"def","docLink":"./Init/Data/List/Control.html#List.allM","doc":""},"List.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L529-L530","name":"List.all","line":529,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.all","doc":"`O(|l|)`. Returns true if `p` is true for every element of `l`.\n* `all p [a, b, c] = p a && p b && p c`\n"},"List.Mem.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L353-L354","name":"List.Mem.tail","line":353,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.tail","doc":"A member of the tail of a list is a member of the list: `a ∈ l → a ∈ b :: l`. "},"List.Mem.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L351-L352","name":"List.Mem.head","line":351,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.head","doc":"The head of a list is a member: `a ∈ a :: as`. "},"List.Mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L350-L354","name":"List.Mem","line":350,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.Mem","doc":"`a ∈ l` is a predicate which asserts that `a` is in the list `l`.\nUnlike `elem`, this uses `=` instead of `==` and is suited for mathematical reasoning.\n* `a ∈ [x, y, z] ↔ a = x ∨ a = y ∨ a = z`\n"},"List":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2182-L2187","name":"List","line":2182,"kind":"inductive","docLink":"./Init/Prelude.html#List","doc":"`List α` is the type of ordered lists with elements of type `α`.\nIt is implemented as a linked list.\n\n`List α` is isomorphic to `Array α`, but they are useful for different things:\n* `List α` is easier for reasoning, and\n `Array α` is modeled as a wrapper around `List α`\n* `List α` works well as a persistent data structure, when many copies of the\n tail are shared. When the value is not shared, `Array α` will have better\n performance because it can do destructive 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"},"Lean.runModInit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/InitAttr.lean#L28-L28","name":"Lean.runModInit","line":28,"kind":"opaque","docLink":"./Lean/Compiler/InitAttr.html#Lean.runModInit","doc":"Run the initializer of the given module (without `builtin_initialize` commands).\nReturn `false` if the initializer is not available as native code.\nInitializers do not have corresponding Lean definitions, so they cannot be interpreted in this case. 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"},"Lean.runEval":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L778-L779","name":"Lean.runEval","line":778,"kind":"def","docLink":"./Init/System/IO.html#Lean.runEval","doc":""},"Lean.rootNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/OpenDecl.lean#L26-L26","name":"Lean.rootNamespace","line":26,"kind":"def","docLink":"./Lean/Data/OpenDecl.html#Lean.rootNamespace","doc":""},"Lean.resolveUniqueNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L233-L236","name":"Lean.resolveUniqueNamespace","line":233,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveUniqueNamespace","doc":"Given a namespace identifier, return the unique interpretation or else fail. "},"Lean.resolveNamespaceCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L214-L218","name":"Lean.resolveNamespaceCore","line":214,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespaceCore","doc":"Given a namespace name, return a list of possible interpretations.\nNames extracted from syntax should be passed to `resolveNamespace` instead.\n"},"Lean.resolveNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L221-L230","name":"Lean.resolveNamespace","line":221,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespace","doc":"Given a namespace identifier, return a list of possible interpretations. "},"Lean.resolveGlobalName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L207-L208","name":"Lean.resolveGlobalName","line":207,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalName","doc":"Given a name `n`, return a list of possible interpretations.\nEach interpretation is a pair `(declName, fieldList)`, where `declName`\nis the name of a declaration in the current environment, and `fieldList` are\n(potential) field names.\nThe pair is needed because in Lean `.` may be part of a qualified name or\na field (aka dot-notation).\nAs an example, consider the following definitions\n```\ndef Boo.x := 1\ndef Foo.x := 2\ndef Foo.x.y := 3\n```\nAfter `open Foo`, we have\n- `resolveGlobalName x` => `[(Foo.x, [])]`\n- `resolveGlobalName x.y` => `[(Foo.x.y, [])]`\n- `resolveGlobalName x.z.w` => `[(Foo.x, [z, w])]`\n\nAfter `open Foo open Boo`, we have\n- `resolveGlobalName x` => `[(Foo.x, []), (Boo.x, [])]`\n- `resolveGlobalName x.y` => `[(Foo.x.y, [])]`\n- `resolveGlobalName x.z.w` => `[(Foo.x, [z, w]), (Boo.x, [z, w])]`\n"},"Lean.resolveGlobalConstNoOverloadCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L249-L253","name":"Lean.resolveGlobalConstNoOverloadCore","line":249,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalConstNoOverloadCore","doc":"For identifiers taken from syntax, use `resolveGlobalConstNoOverload` instead, which respects preresolved names. "},"Lean.resolveGlobalConstNoOverload":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L306-L310","name":"Lean.resolveGlobalConstNoOverload","line":306,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalConstNoOverload","doc":"Interpret the syntax `n` as an identifier for a global constant, and return a resolved\nconstant name. 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It is a `OfNat.ofNat` application.\nRecall that all theorems and definitions containing numeric literals are encoded using\n`OfNat.ofNat` applications in the frontend.\n"},"Lean.mkNameMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/NameMap.lean#L17-L17","name":"Lean.mkNameMap","line":17,"kind":"def","docLink":"./Lean/Data/NameMap.html#Lean.mkNameMap","doc":""},"Lean.mkModuleInitializationFunctionName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/NameMangling.lean#L63-L64","name":"Lean.mkModuleInitializationFunctionName","line":63,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.mkModuleInitializationFunctionName","doc":""},"Lean.mkModuleData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L639-L650","name":"Lean.mkModuleData","line":639,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkModuleData","doc":""},"Lean.mkMapDeclarationExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L579-L585","name":"Lean.mkMapDeclarationExtension","line":579,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkMapDeclarationExtension","doc":""},"Lean.mkMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L727-L727","name":"Lean.mkMVarEx","line":727,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVarEx","doc":""},"Lean.mkMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L640-L641","name":"Lean.mkMVar","line":640,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVar","doc":"`.mvar mvarId` is now the preferred form.\nThis function is seldom used, metavariables are often created using functions such\nas `mkFresheExprMVar` at `MetaM`.\n"},"Lean.mkMDataEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L735-L735","name":"Lean.mkMDataEx","line":735,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMDataEx","doc":""},"Lean.mkMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L646-L647","name":"Lean.mkMData","line":646,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMData","doc":"`.mdata m e` is now the preferred form.\n"},"Lean.mkLocalDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/LocalContext.lean#L57-L58","name":"Lean.mkLocalDeclEx","line":57,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLocalDeclEx","doc":""},"Lean.mkLitEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L734-L734","name":"Lean.mkLitEx","line":734,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLitEx","doc":""},"Lean.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L701-L702","name":"Lean.mkLit","line":701,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLit","doc":"`.lit l` is now the preferred form.\n"},"Lean.mkListNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L386-L387","name":"Lean.mkListNode","line":386,"kind":"def","docLink":"./Lean/Syntax.html#Lean.mkListNode","doc":""},"Lean.mkLevelZeroEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L152-L152","name":"Lean.mkLevelZeroEx","line":152,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelZeroEx","doc":""},"Lean.mkLevelSuccEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L153-L153","name":"Lean.mkLevelSuccEx","line":153,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSuccEx","doc":""},"Lean.mkLevelSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L141-L142","name":"Lean.mkLevelSucc","line":141,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSucc","doc":""},"Lean.mkLevelParamEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L155-L155","name":"Lean.mkLevelParamEx","line":155,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParamEx","doc":""},"Lean.mkLevelParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L138-L139","name":"Lean.mkLevelParam","line":138,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParam","doc":""},"Lean.mkLevelMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L156-L156","name":"Lean.mkLevelMaxEx","line":156,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMaxEx","doc":""},"Lean.mkLevelMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L503-L504","name":"Lean.mkLevelMax'","line":503,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax'","doc":""},"Lean.mkLevelMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L144-L145","name":"Lean.mkLevelMax","line":144,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax","doc":""},"Lean.mkLevelMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L154-L154","name":"Lean.mkLevelMVarEx","line":154,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVarEx","doc":""},"Lean.mkLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L135-L136","name":"Lean.mkLevelMVar","line":135,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVar","doc":""},"Lean.mkLevelIMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L157-L157","name":"Lean.mkLevelIMaxEx","line":157,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMaxEx","doc":""},"Lean.mkLevelIMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L517-L518","name":"Lean.mkLevelIMax'","line":517,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax'","doc":""},"Lean.mkLevelIMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L147-L148","name":"Lean.mkLevelIMax","line":147,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax","doc":""},"Lean.mkLetFunAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1670-L1671","name":"Lean.mkLetFunAnnotation","line":1670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetFunAnnotation","doc":"Annotate `e` with the `let_fun` annotation. This annotation is used as hint for the delaborator.\nIf `e` is of the form `(fun x : t => b) v`, then `mkLetFunAnnotation e` is delaborated at\n`let_fun x : t := v; b`\n"},"Lean.mkLetEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L733-L733","name":"Lean.mkLetEx","line":733,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetEx","doc":""},"Lean.mkLetDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/LocalContext.lean#L60-L61","name":"Lean.mkLetDeclEx","line":60,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLetDeclEx","doc":""},"Lean.mkLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L684-L685","name":"Lean.mkLet","line":684,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLet","doc":"`.letE x t v b nonDep` is now the preferred form.\n"},"Lean.mkLambdaEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L731-L731","name":"Lean.mkLambdaEx","line":731,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambdaEx","doc":""},"Lean.mkLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L664-L665","name":"Lean.mkLambda","line":664,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambda","doc":"`.lam x t b bi` is now the preferred form.\n"},"Lean.mkLHSGoalRaw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1742-L1743","name":"Lean.mkLHSGoalRaw","line":1742,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLHSGoalRaw","doc":"Annotate `e` with the LHS annotation. The delaborator displays\nexpressions of the form `lhs = rhs` as `lhs` when they have this annotation.\nThis is used to implement the infoview for the `conv` mode.\n\nThis version of `mkLHSGoal` does not check that the argument is an equality.\n"},"Lean.mkInductiveValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L243-L256","name":"Lean.mkInductiveValEx","line":243,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveValEx","doc":""},"Lean.mkInductiveDeclEs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L165-L166","name":"Lean.mkInductiveDeclEs","line":165,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveDeclEs","doc":""},"Lean.mkInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1691-L1692","name":"Lean.mkInaccessible","line":1691,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkInaccessible","doc":"Auxiliary annotation used to mark terms marked with the \"inaccessible\" annotation `.(t)` and\n`_` in patterns.\n"},"Lean.mkIdentFromRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L507-L508","name":"Lean.mkIdentFromRef","line":507,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFromRef","doc":""},"Lean.mkIdentFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L504-L505","name":"Lean.mkIdentFrom","line":504,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFrom","doc":"Create an identifier copying the position from `src`.\nTo refer to a specific constant, use `mkCIdentFrom` instead. "},"Lean.mkIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L526-L527","name":"Lean.mkIdent","line":526,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdent","doc":""},"Lean.mkIBelowImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Constructions.lean#L15-L15","name":"Lean.mkIBelowImp","line":15,"kind":"opaque","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelowImp","doc":""},"Lean.mkIBelow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Constructions.lean#L29-L29","name":"Lean.mkIBelow","line":29,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelow","doc":""},"Lean.mkHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L548-L549","name":"Lean.mkHole","line":548,"kind":"def","docLink":"./Init/Meta.html#Lean.mkHole","doc":""},"Lean.mkHashSetImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashSet.lean#L20-L24","name":"Lean.mkHashSetImp","line":20,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSetImp","doc":""},"Lean.mkHashSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashSet.lean#L127-L128","name":"Lean.mkHashSet","line":127,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSet","doc":""},"Lean.mkHashMapImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashMap.lean#L24-L28","name":"Lean.mkHashMapImp","line":24,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMapImp","doc":""},"Lean.mkHashMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashMap.lean#L137-L138","name":"Lean.mkHashMap","line":137,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMap","doc":""},"Lean.mkGroupNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L529-L530","name":"Lean.mkGroupNode","line":529,"kind":"def","docLink":"./Init/Meta.html#Lean.mkGroupNode","doc":""},"Lean.mkFreshMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1766-L1767","name":"Lean.mkFreshMVarId","line":1766,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshMVarId","doc":"Polymorphic operation for generating unique/fresh metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshLMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1773-L1774","name":"Lean.mkFreshLMVarId","line":1773,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshLMVarId","doc":"Polymorphic operation for generating unique/fresh universe metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L245-L249","name":"Lean.mkFreshId","line":245,"kind":"def","docLink":"./Init/Meta.html#Lean.mkFreshId","doc":""},"Lean.mkFreshFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1759-L1760","name":"Lean.mkFreshFVarId","line":1759,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshFVarId","doc":"Polymorphic operation for generating unique/fresh free variable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkForallEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L732-L732","name":"Lean.mkForallEx","line":732,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForallEx","doc":""},"Lean.mkForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L670-L671","name":"Lean.mkForall","line":670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForall","doc":"`.forallE x t b bi` is now the preferred form.\n"},"Lean.mkFVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L726-L726","name":"Lean.mkFVarEx","line":726,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVarEx","doc":""},"Lean.mkFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L632-L633","name":"Lean.mkFVar","line":632,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVar","doc":"`.fvar fvarId` is now the preferred form.\nThis function is seldom used, free variables are often automatically created using the\ntelescope functions (e.g., `forallTelescope` and `lambdaTelescope`) at `MetaM`.\n"},"Lean.mkErrorStringWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Message.lean#L17-L21","name":"Lean.mkErrorStringWithPos","line":17,"kind":"def","docLink":"./Lean/Message.html#Lean.mkErrorStringWithPos","doc":""},"Lean.mkEmptyEnvironment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L381-L391","name":"Lean.mkEmptyEnvironment","line":381,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkEmptyEnvironment","doc":""},"Lean.mkEM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1783-L1783","name":"Lean.mkEM","line":1783,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkEM","doc":"Return `Classical.em p` "},"Lean.mkDefinitionValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L109-L111","name":"Lean.mkDefinitionValEx","line":109,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkDefinitionValEx","doc":""},"Lean.mkDefaultFnOfProjFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Structure.lean#L162-L163","name":"Lean.mkDefaultFnOfProjFn","line":162,"kind":"def","docLink":"./Lean/Structure.html#Lean.mkDefaultFnOfProjFn","doc":""},"Lean.mkDecIsTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1236-L1237","name":"Lean.mkDecIsTrue","line":1236,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkDecIsTrue","doc":""},"Lean.mkDecIsFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1239-L1240","name":"Lean.mkDecIsFalse","line":1239,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkDecIsFalse","doc":""},"Lean.mkConstructorValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L278-L287","name":"Lean.mkConstructorValEx","line":278,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkConstructorValEx","doc":""},"Lean.mkConstWithLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MonadEnv.lean#L96-L98","name":"Lean.mkConstWithLevelParams","line":96,"kind":"def","docLink":"./Lean/MonadEnv.html#Lean.mkConstWithLevelParams","doc":""},"Lean.mkConstEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L729-L729","name":"Lean.mkConstEx","line":729,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkConstEx","doc":""},"Lean.mkConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L608-L609","name":"Lean.mkConst","line":608,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkConst","doc":"`mkConst 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"},"Lean.Widget.diffInteractiveGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L234-L249","name":"Lean.Widget.diffInteractiveGoal","line":234,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffInteractiveGoal","doc":"Decorates the given goal `i₁` with a diff by comparing with goal `g₀`.\nIf `useAfter` is true then `i₁` is _after_ and `g₀` is _before_. Otherwise they are swapped. "},"Lean.Widget.diffHypothesesBundle.withTypeDiff":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L220-L226","name":"Lean.Widget.diffHypothesesBundle.withTypeDiff","line":220,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle.withTypeDiff","doc":""},"Lean.Widget.diffHypothesesBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L203-L226","name":"Lean.Widget.diffHypothesesBundle","line":203,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle","doc":"Diffs the given hypothesis bundle against the given local context.\n\nIf `useAfter == true`, `ctx₀` is the context _before_ and `h₁` is the bundle _after_.\nIf `useAfter == false`, these are swapped.\n "},"Lean.Widget.diffHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L228-L230","name":"Lean.Widget.diffHypotheses","line":228,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypotheses","doc":""},"Lean.Widget.addInteractiveHypothesisBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveGoal.lean#L116-L130","name":"Lean.Widget.addInteractiveHypothesisBundle","line":116,"kind":"def","docLink":"./Lean/Widget/InteractiveGoal.html#Lean.Widget.addInteractiveHypothesisBundle","doc":"Extend an array of hypothesis bundles with another bundle. "},"Lean.Widget.addDiffTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L192-L194","name":"Lean.Widget.addDiffTags","line":192,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.addDiffTags","doc":"Given a `diff` between `before` and `after : Expr`, and the rendered `infoAfter : CodeWithInfos` for `after`,\nthis function decorates `infoAfter` with tags indicating where the expression has changed.\n\nIf `useAfter == false` before and after are swapped. "},"Lean.Widget.WidgetSource.sourcetext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L25-L25","name":"Lean.Widget.WidgetSource.sourcetext","line":25,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.sourcetext","doc":"Sourcetext of the code to run."},"Lean.Widget.WidgetSource.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.WidgetSource.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.mk","doc":""},"Lean.Widget.WidgetSource":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L23-L26","name":"Lean.Widget.WidgetSource","line":23,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource","doc":"A custom piece of code that is run on the editor client.\n\nThe editor can use the `Lean.Widget.getWidgetSource` RPC method to\nget this object.\n\nSee the [manual entry](doc/widgets.md) above this declaration for more information on\nhow to use the widgets system.\n\n"},"Lean.Widget.UserWidgetInstance.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L132-L132","name":"Lean.Widget.UserWidgetInstance.range?","line":132,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.range?","doc":"The location of the widget instance in the Lean file. "},"Lean.Widget.UserWidgetInstance.props":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L130-L130","name":"Lean.Widget.UserWidgetInstance.props","line":130,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.props","doc":"Arguments to be fed to the widget's main component. "},"Lean.Widget.UserWidgetInstance.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetInstance.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.mk","doc":""},"Lean.Widget.UserWidgetInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L128-L133","name":"Lean.Widget.UserWidgetInstance","line":128,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance","doc":"UserWidget accompanied by component props. "},"Lean.Widget.UserWidgetDefinition.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L40-L40","name":"Lean.Widget.UserWidgetDefinition.name","line":40,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.name","doc":"Pretty name of user widget to display to the user. "},"Lean.Widget.UserWidgetDefinition.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetDefinition.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.mk","doc":""},"Lean.Widget.UserWidgetDefinition.javascript":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L42-L42","name":"Lean.Widget.UserWidgetDefinition.javascript","line":42,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.javascript","doc":"An ESmodule that exports a react component to render. "},"Lean.Widget.UserWidgetDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L38-L43","name":"Lean.Widget.UserWidgetDefinition","line":38,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition","doc":"Use this structure and the `@[widget]` attribute to define your own widgets.\n\n```lean\n@[widget]\ndef rubiks : UserWidgetDefinition :=\n { name := \"Rubiks cube app\"\n javascript := include_str ...\n }\n```\n"},"Lean.Widget.UserWidget.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L48-L48","name":"Lean.Widget.UserWidget.name","line":48,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.name","doc":"Pretty name of widget to display to the user."},"Lean.Widget.UserWidget.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidget.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.mk","doc":""},"Lean.Widget.UserWidget.javascriptHash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L49-L49","name":"Lean.Widget.UserWidget.javascriptHash","line":49,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.javascriptHash","doc":""},"Lean.Widget.UserWidget.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L46-L46","name":"Lean.Widget.UserWidget.id","line":46,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.id","doc":""},"Lean.Widget.UserWidget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L45-L50","name":"Lean.Widget.UserWidget","line":45,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget","doc":""},"Lean.Widget.TaggedText.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L17-L17","name":"Lean.Widget.TaggedText.text","line":17,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.text","doc":""},"Lean.Widget.TaggedText.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L23-L23","name":"Lean.Widget.TaggedText.tag","line":23,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.tag","doc":""},"Lean.Widget.TaggedText.stripTags.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L95-L100","name":"Lean.Widget.TaggedText.stripTags.go","line":95,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags.go","doc":""},"Lean.Widget.TaggedText.stripTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L93-L100","name":"Lean.Widget.TaggedText.stripTags","line":93,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags","doc":"Remove tags, leaving just the pretty-printed string. "},"Lean.Widget.TaggedText.rewriteM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L61-L64","name":"Lean.Widget.TaggedText.rewriteM","line":61,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewriteM","doc":"Like `mapM` but allows rewriting the whole subtree at `tag` nodes. "},"Lean.Widget.TaggedText.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L54-L57","name":"Lean.Widget.TaggedText.rewrite","line":54,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewrite","doc":""},"Lean.Widget.TaggedText.prettyTagged":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L89-L90","name":"Lean.Widget.TaggedText.prettyTagged","line":89,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.prettyTagged","doc":"The output is tagged with `(tag, indent)` where `tag` is from the input `Format` and `indent`\nis the indentation level at this point. The latter is used to print sub-trees accurately by passing\nit again as the `indent` argument. "},"Lean.Widget.TaggedText.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L48-L51","name":"Lean.Widget.TaggedText.mapM","line":48,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.mapM","doc":""},"Lean.Widget.TaggedText.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L42-L45","name":"Lean.Widget.TaggedText.map","line":42,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.map","doc":""},"Lean.Widget.TaggedText.instRpcEncodableTaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L66-L68","name":"Lean.Widget.TaggedText.instRpcEncodableTaggedText","line":66,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instRpcEncodableTaggedText","doc":""},"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L76-L84","name":"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","line":76,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","doc":""},"Lean.Widget.TaggedText.instInhabitedTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L74-L74","name":"Lean.Widget.TaggedText.instInhabitedTaggedState","line":74,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instInhabitedTaggedState","doc":""},"Lean.Widget.TaggedText.appendText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L28-L33","name":"Lean.Widget.TaggedText.appendText","line":28,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendText","doc":""},"Lean.Widget.TaggedText.appendTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L35-L39","name":"Lean.Widget.TaggedText.appendTag","line":35,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendTag","doc":""},"Lean.Widget.TaggedText.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L18-L22","name":"Lean.Widget.TaggedText.append","line":18,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.append","doc":"Invariants:\n- non-empty\n- no adjacent `text` elements (they should be collapsed)\n- no directly nested `append`s (but `append #[tag _ (append ..)]` is okay) "},"Lean.Widget.TaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L16-L24","name":"Lean.Widget.TaggedText","line":16,"kind":"inductive","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText","doc":"The minimal structure needed to represent \"string with interesting (tagged) substrings\".\nMuch like Lean 3 [`sf`](https://github.com/leanprover-community/mathlib/blob/bfa6bbbce69149792cc009ab7f9bc146181dc051/src/tactic/interactive_expr.lean#L38),\nbut with indentation already stringified. "},"Lean.Widget.SubexprInfo.withDiffTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L57-L58","name":"Lean.Widget.SubexprInfo.withDiffTag","line":57,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.withDiffTag","doc":""},"Lean.Widget.SubexprInfo.subexprPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L34-L34","name":"Lean.Widget.SubexprInfo.subexprPos","line":34,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.subexprPos","doc":"The position of this subexpression within the top-level expression. See `Lean.SubExpr`. "},"Lean.Widget.SubexprInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L1-L1","name":"Lean.Widget.SubexprInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.mk","doc":""},"Lean.Widget.SubexprInfo.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L32-L32","name":"Lean.Widget.SubexprInfo.info","line":32,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.info","doc":"The `Elab.Info` node with the semantics of this part of the output. "},"Lean.Widget.SubexprInfo.diffStatus?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L40-L40","name":"Lean.Widget.SubexprInfo.diffStatus?","line":40,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.diffStatus?","doc":"In certain situations such as when goal states change between positions in a tactic-mode proof,\nwe can show subexpression-level diffs between two expressions. This field asks the renderer to\ndisplay the subexpression as in a diff view (e.g. red/green like `git diff`). "},"Lean.Widget.SubexprInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L30-L41","name":"Lean.Widget.SubexprInfo","line":30,"kind":"structure","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo","doc":"Information about a subexpression within delaborated code. 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"},"Lean.SyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3575-L3575","name":"Lean.SyntaxNodeKind","line":3575,"kind":"def","docLink":"./Init/Prelude.html#Lean.SyntaxNodeKind","doc":"A `SyntaxNodeKind` classifies `Syntax.node` values. It is an abbreviation for\n`Name`, and you can use name literals to construct `SyntaxNodeKind`s, but\nthey need not refer to declarations in the environment. 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"},"Lean.Syntax.unsetTrailing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L398-L401","name":"Lean.Syntax.unsetTrailing","line":398,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.unsetTrailing","doc":""},"Lean.Syntax.unescapeAntiquot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L434-L438","name":"Lean.Syntax.unescapeAntiquot","line":434,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.unescapeAntiquot","doc":""},"Lean.Syntax.topDown":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L249-L249","name":"Lean.Syntax.topDown","line":249,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.topDown","doc":"`for _ in stx.topDown` iterates through each node and leaf in `stx` top-down, left-to-right.\nIf `firstChoiceOnly` is `true`, only visit the first argument of each choice node.\n"},"Lean.Syntax.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L749-L752","name":"Lean.Syntax.toNat","line":749,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.toNat","doc":""},"Lean.Syntax.structEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L335-L340","name":"Lean.Syntax.structEq","line":335,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.structEq","doc":"Compare syntax structures modulo source info. "},"Lean.Syntax.splitNameLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L837-L838","name":"Lean.Syntax.splitNameLit","line":837,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.splitNameLit","doc":"Split a name literal (without the backtick) into its dot-separated components. For example,\n`foo.bla.«bo.o»` ↦ `[\"foo\", \"bla\", \"«bo.o»\"]`. If the literal cannot be parsed, return `[]`. "},"Lean.Syntax.setTailInfoAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L384-L391","name":"Lean.Syntax.setTailInfoAux","line":384,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfoAux","doc":""},"Lean.Syntax.setTailInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L393-L396","name":"Lean.Syntax.setTailInfo","line":393,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfo","doc":""},"Lean.Syntax.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3775-L3778","name":"Lean.Syntax.setKind","line":3775,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setKind","doc":"Changes the kind at the root of a `Syntax` node to `k`.\nDoes nothing for non-`node` nodes.\n"},"Lean.Syntax.setInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L426-L430","name":"Lean.Syntax.setInfo","line":426,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setInfo","doc":""},"Lean.Syntax.setHeadInfoAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L412-L419","name":"Lean.Syntax.setHeadInfoAux","line":412,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.setHeadInfoAux","doc":""},"Lean.Syntax.setHeadInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L421-L424","name":"Lean.Syntax.setHeadInfo","line":421,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setHeadInfo","doc":""},"Lean.Syntax.setAtomVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L84-L86","name":"Lean.Syntax.setAtomVal","line":84,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.setAtomVal","doc":""},"Lean.Syntax.setArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3842-L3845","name":"Lean.Syntax.setArgs","line":3842,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setArgs","doc":"Updates the argument list without changing the node kind.\nDoes nothing for non-`node` nodes.\n"},"Lean.Syntax.setArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3851-L3854","name":"Lean.Syntax.setArg","line":3851,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setArg","doc":"Updates the `i`'th argument of the syntax.\nDoes nothing for non-`node` nodes, or if `i` is out of bounds of the node 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syntax node with 8 children "},"Lean.Syntax.node7":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3655-L3656","name":"Lean.Syntax.node7","line":3655,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node7","doc":"Create syntax node with 7 children "},"Lean.Syntax.node6":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3651-L3652","name":"Lean.Syntax.node6","line":3651,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node6","doc":"Create syntax node with 6 children "},"Lean.Syntax.node5":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3647-L3648","name":"Lean.Syntax.node5","line":3647,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node5","doc":"Create syntax node with 5 children "},"Lean.Syntax.node4":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3643-L3644","name":"Lean.Syntax.node4","line":3643,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node4","doc":"Create syntax node with 4 children "},"Lean.Syntax.node3":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3639-L3640","name":"Lean.Syntax.node3","line":3639,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node3","doc":"Create syntax node with 3 children "},"Lean.Syntax.node2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3635-L3636","name":"Lean.Syntax.node2","line":3635,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node2","doc":"Create syntax node with 2 children "},"Lean.Syntax.node1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3631-L3632","name":"Lean.Syntax.node1","line":3631,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node1","doc":"Create syntax node with 1 child "},"Lean.Syntax.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3598-L3616","name":"Lean.Syntax.node","line":3598,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Syntax.node","doc":"Node in the syntax tree.\n\nThe `info` field is used by the delaborator to store the position of the\nsubexpression corresponding to this node. The parser sets the `info` field\nto `none`.\nThe parser sets the `info` field to `none`, with position retrieval continuing recursively.\nNodes created by quotations use the result from `SourceInfo.fromRef` so that they are marked\nas synthetic even when the leading/trailing token is not.\nThe delaborator uses the `info` field to store the position of the subexpression\ncorresponding to this node.\n\n(Remark: the `node` constructor did not have an `info` field in previous\nversions. This caused a bug in the interactive widgets, where the popup for\n`a + b` was the same as for `a`. The delaborator used to associate\nsubexpressions with pretty-printed syntax by setting the (string) position\nof the first atom/identifier to the (expression) position of the\nsubexpression. For example, both `a` and `a + b` have the same first\nidentifier, and so their infos got mixed up.) 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If the crash was detected while writing a packet, we queue that packet until the next packet for the file\nworker arrives. 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"},"Lean.Server.Watchdog.ServerContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L134-L145","name":"Lean.Server.Watchdog.ServerContext","line":134,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.ServerContext","doc":""},"Lean.Server.Watchdog.PendingRequestMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L96-L96","name":"Lean.Server.Watchdog.PendingRequestMap","line":96,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.PendingRequestMap","doc":""},"Lean.Server.Watchdog.FileWorkerMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L132-L132","name":"Lean.Server.Watchdog.FileWorkerMap","line":132,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorkerMap","doc":""},"Lean.Server.Watchdog.FileWorker.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L117-L118","name":"Lean.Server.Watchdog.FileWorker.stdout","line":117,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdout","doc":""},"Lean.Server.Watchdog.FileWorker.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L114-L115","name":"Lean.Server.Watchdog.FileWorker.stdin","line":114,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdin","doc":""},"Lean.Server.Watchdog.FileWorker.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L104-L104","name":"Lean.Server.Watchdog.FileWorker.state","line":104,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.state","doc":""},"Lean.Server.Watchdog.FileWorker.proc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L102-L102","name":"Lean.Server.Watchdog.FileWorker.proc","line":102,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.proc","doc":""},"Lean.Server.Watchdog.FileWorker.pendingRequestsRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L110-L110","name":"Lean.Server.Watchdog.FileWorker.pendingRequestsRef","line":110,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.pendingRequestsRef","doc":"The pending requests map contains all requests\nthat have been received from the LSP client, but were not answered yet.\nWe need them for forwaring cancellation requests to the correct worker as well as cleanly aborting\nrequests on worker crashes. "},"Lean.Server.Watchdog.FileWorker.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L1-L1","name":"Lean.Server.Watchdog.FileWorker.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.mk","doc":""},"Lean.Server.Watchdog.FileWorker.errorPendingRequests":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L123-L126","name":"Lean.Server.Watchdog.FileWorker.errorPendingRequests","line":123,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.errorPendingRequests","doc":""},"Lean.Server.Watchdog.FileWorker.erasePendingRequest":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L120-L121","name":"Lean.Server.Watchdog.FileWorker.erasePendingRequest","line":120,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.erasePendingRequest","doc":""},"Lean.Server.Watchdog.FileWorker.doc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L101-L101","name":"Lean.Server.Watchdog.FileWorker.doc","line":101,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.doc","doc":""},"Lean.Server.Watchdog.FileWorker.commTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L103-L103","name":"Lean.Server.Watchdog.FileWorker.commTask","line":103,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.commTask","doc":""},"Lean.Server.Watchdog.FileWorker":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L100-L110","name":"Lean.Server.Watchdog.FileWorker","line":100,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker","doc":""},"Lean.Server.Snapshots.server.stderrAsMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L95-L99","name":"Lean.Server.Snapshots.server.stderrAsMessages","line":95,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.server.stderrAsMessages","doc":""},"Lean.Server.Snapshots.parseNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L87-L93","name":"Lean.Server.Snapshots.parseNextCmd","line":87,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.parseNextCmd","doc":"Parses the next command occurring after the given snapshot\nwithout elaborating it. "},"Lean.Server.Snapshots.dummyTacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L24-L24","name":"Lean.Server.Snapshots.dummyTacticCache","line":24,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.dummyTacticCache","doc":""},"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L155-L161","name":"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","line":155,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","doc":"Compute the current interactive diagnostics log by finding a \"diff\" relative to the parent\nsnapshot. We need to do this because unlike the `MessageLog` itself, interactive diags are not\npart of the command state. "},"Lean.Server.Snapshots.compileNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L106-L161","name":"Lean.Server.Snapshots.compileNextCmd","line":106,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd","doc":"Compiles the next command occurring after the given snapshot. If there is no next command\n(file ended), `Snapshot.isAtEnd` will hold of the return value. "},"Lean.Server.Snapshots.Snapshot.tacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L40-L40","name":"Lean.Server.Snapshots.Snapshot.tacticCache","line":40,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.tacticCache","doc":""},"Lean.Server.Snapshots.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L33-L33","name":"Lean.Server.Snapshots.Snapshot.stx","line":33,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.stx","doc":""},"Lean.Server.Snapshots.Snapshot.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L80-L81","name":"Lean.Server.Snapshots.Snapshot.runTermElabM","line":80,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runTermElabM","doc":"Run a `TermElabM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L76-L77","name":"Lean.Server.Snapshots.Snapshot.runCoreM","line":76,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCoreM","doc":"Run a `CoreM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L66-L73","name":"Lean.Server.Snapshots.Snapshot.runCommandElabM","line":66,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCommandElabM","doc":"Use the command state in the given snapshot to run a `CommandElabM`."},"Lean.Server.Snapshots.Snapshot.msgLog":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L50-L51","name":"Lean.Server.Snapshots.Snapshot.msgLog","line":50,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.msgLog","doc":""},"Lean.Server.Snapshots.Snapshot.mpState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L34-L34","name":"Lean.Server.Snapshots.Snapshot.mpState","line":34,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mpState","doc":""},"Lean.Server.Snapshots.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L1-L1","name":"Lean.Server.Snapshots.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mk","doc":""},"Lean.Server.Snapshots.Snapshot.isAtEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L61-L62","name":"Lean.Server.Snapshots.Snapshot.isAtEnd","line":61,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.isAtEnd","doc":""},"Lean.Server.Snapshots.Snapshot.interactiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L39-L39","name":"Lean.Server.Snapshots.Snapshot.interactiveDiags","line":39,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.interactiveDiags","doc":"We cache interactive diagnostics in order not to invoke the pretty-printer again on messages\nfrom previous snapshots when publishing diagnostics for every new snapshot (this is quadratic),\nas well as not to invoke it once again when handling `$/lean/interactiveDiagnostics`. "},"Lean.Server.Snapshots.Snapshot.infoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L56-L59","name":"Lean.Server.Snapshots.Snapshot.infoTree","line":56,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.infoTree","doc":""},"Lean.Server.Snapshots.Snapshot.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L47-L48","name":"Lean.Server.Snapshots.Snapshot.env","line":47,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.env","doc":""},"Lean.Server.Snapshots.Snapshot.endPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L44-L45","name":"Lean.Server.Snapshots.Snapshot.endPos","line":44,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.endPos","doc":""},"Lean.Server.Snapshots.Snapshot.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L53-L54","name":"Lean.Server.Snapshots.Snapshot.diagnostics","line":53,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.diagnostics","doc":""},"Lean.Server.Snapshots.Snapshot.cmdState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L35-L35","name":"Lean.Server.Snapshots.Snapshot.cmdState","line":35,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.cmdState","doc":""},"Lean.Server.Snapshots.Snapshot.beginPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L32-L32","name":"Lean.Server.Snapshots.Snapshot.beginPos","line":32,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.beginPos","doc":"Where the command which produced this snapshot begins. Note that\nneighbouring snapshots are *not* necessarily attached beginning-to-end,\nsince inputs outside the grammar advance the parser but do not produce\nsnapshots. "},"Lean.Server.Snapshots.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L27-L40","name":"Lean.Server.Snapshots.Snapshot","line":27,"kind":"structure","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot","doc":"What Lean knows about the world after the header and each command. "},"Lean.Server.RpcObjectStore.nextRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Rpc/Basic.lean#L44-L44","name":"Lean.Server.RpcObjectStore.nextRef","line":44,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.nextRef","doc":"Value to use for the next `RpcRef`. It is monotonically increasing to avoid any possible\nbugs resulting from its reuse. "},"Lean.Server.RpcObjectStore.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Rpc/Basic.lean#L1-L1","name":"Lean.Server.RpcObjectStore.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.mk","doc":""},"Lean.Server.RpcObjectStore.aliveRefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Rpc/Basic.lean#L41-L41","name":"Lean.Server.RpcObjectStore.aliveRefs","line":41,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.aliveRefs","doc":"Objects that are being kept alive for the RPC client, together with their type names,\nmapped to by their RPC reference.\n\nNote that we may currently have multiple references to the same object. It is only disposed\nof once all of those are gone. This simplifies the client a bit as it can drop every reference\nreceived separately. 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"},"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L96-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","line":96,"kind":"instance","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L34-L34","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getPos","line":34,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L33-L33","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","line":33,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.descend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L36-L37","name":"Lean.PrettyPrinter.Delaborator.SubExpr.descend","line":36,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.descend","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L95-L95","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","line":95,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L104-L105","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","line":104,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L107-L110","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","line":107,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L94-L94","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","line":94,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L93-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","line":93,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.State.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.mk","doc":""},"Lean.PrettyPrinter.Delaborator.State.infos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L48-L48","name":"Lean.PrettyPrinter.Delaborator.State.infos","line":48,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.infos","doc":"We attach `Elab.Info` at various locations in the `Syntax` output in order to convey\nits semantics. While the elaborator emits `InfoTree`s, here we have no real text location tree\nto traverse, so we use a flattened map. "},"Lean.PrettyPrinter.Delaborator.State.holeIter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L50-L50","name":"Lean.PrettyPrinter.Delaborator.State.holeIter","line":50,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.holeIter","doc":"See `SubExpr.nextExtraPos`. "},"Lean.PrettyPrinter.Delaborator.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L44-L50","name":"Lean.PrettyPrinter.Delaborator.State","line":44,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L108-L108","name":"Lean.PrettyPrinter.Delaborator.ParamKind.name","line":108,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.name","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.ParamKind.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.mk","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L113-L114","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","line":113,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L111-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","line":111,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.defVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L110-L110","name":"Lean.PrettyPrinter.Delaborator.ParamKind.defVal","line":110,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.defVal","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L109-L109","name":"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","line":109,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L107-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind","line":107,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind","doc":""},"Lean.PrettyPrinter.Delaborator.OptionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L18-L18","name":"Lean.PrettyPrinter.Delaborator.OptionsPerPos","line":18,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.OptionsPerPos","doc":""},"Lean.PrettyPrinter.Delaborator.DelabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L56-L56","name":"Lean.PrettyPrinter.Delaborator.DelabM","line":56,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.DelabM","doc":""},"Lean.PrettyPrinter.Delaborator.Delab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L57-L57","name":"Lean.PrettyPrinter.Delaborator.Delab","line":57,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Delab","doc":""},"Lean.PrettyPrinter.Delaborator.Context.subExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L42-L42","name":"Lean.PrettyPrinter.Delaborator.Context.subExpr","line":42,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Context.subExpr","doc":""},"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L38-L38","name":"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos","lin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"},"Lean.Parser.ppHardSpace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L102-L102","name":"Lean.Parser.ppHardSpace","line":102,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardSpace","doc":"No-op parser that advises the pretty printer to emit a non-breaking space. "},"Lean.Parser.ppHardLineUnlessUngrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L144-L144","name":"Lean.Parser.ppHardLineUnlessUngrouped","line":144,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardLineUnlessUngrouped","doc":"No-op parser combinator that prints a line break.\nThe line break is soft if the combinator is followed\nby an ungrouped parser (see ppAllowUngrouped), otherwise hard. "},"Lean.Parser.ppGroup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L116-L116","name":"Lean.Parser.ppGroup","line":116,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppGroup","doc":"No-op parser combinator that advises the pretty printer to group and indent the given syntax.\nBy default, only syntax categories are grouped. "},"Lean.Parser.ppDedentIfGrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L138-L138","name":"Lean.Parser.ppDedentIfGrouped","line":138,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedentIfGrouped","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax,\nif it was grouped by the category parser.\nDedenting can in particular be used to counteract automatic indentation. "},"Lean.Parser.ppDedent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L120-L120","name":"Lean.Parser.ppDedent","line":120,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedent","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax.\nDedenting can in particular be used to counteract automatic indentation. 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"},"Lean.Parser.TokenCacheEntry.token":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L108-L108","name":"Lean.Parser.TokenCacheEntry.token","line":108,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.token","doc":""},"Lean.Parser.TokenCacheEntry.stopPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L107-L107","name":"Lean.Parser.TokenCacheEntry.stopPos","line":107,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.stopPos","doc":""},"Lean.Parser.TokenCacheEntry.startPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L106-L106","name":"Lean.Parser.TokenCacheEntry.startPos","line":106,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.startPos","doc":""},"Lean.Parser.TokenCacheEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L1-L1","name":"Lean.Parser.TokenCacheEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.mk","doc":""},"Lean.Parser.TokenCacheEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L105-L108","name":"Lean.Parser.TokenCacheEntry","line":105,"kind":"structure","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry","doc":""},"Lean.Parser.Token":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L32-L32","name":"Lean.Parser.Token","line":32,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.Token","doc":""},"Lean.Parser.Term.withDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L533-L534","name":"Lean.Parser.Term.withDeclName","line":533,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.withDeclName","doc":"* `with_decl_name% id e` elaborates `e` in a context while changing the effective\n declaration name to `id`.\n* `with_decl_name% ?id e` does the same, but resolves `id` as a new definition name\n (appending the current namespaces).\n"},"Lean.Parser.Term.withAnonymousAntiquot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L371-L373","name":"Lean.Parser.Term.withAnonymousAntiquot","line":371,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.withAnonymousAntiquot","doc":""},"Lean.Parser.Term.whereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L497-L498","name":"Lean.Parser.Term.whereDecls","line":497,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.whereDecls","doc":""},"Lean.Parser.Term.waitIfTypeMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L553-L554","name":"Lean.Parser.Term.waitIfTypeMVar","line":553,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.waitIfTypeMVar","doc":""},"Lean.Parser.Term.waitIfTypeContainsMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L555-L556","name":"Lean.Parser.Term.waitIfTypeContainsMVar","line":555,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.waitIfTypeContainsMVar","doc":""},"Lean.Parser.Term.waitIfContainsMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L557-L558","name":"Lean.Parser.Term.waitIfContainsMVar","line":557,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.waitIfContainsMVar","doc":""},"Lean.Parser.Term.unreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L651-L652","name":"Lean.Parser.Term.unreachable","line":651,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.unreachable","doc":"A shorthand for `panic! \"unreachable code has been reached\"`. "},"Lean.Parser.Term.unop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L516-L517","name":"Lean.Parser.Term.unop","line":516,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.unop","doc":""},"Lean.Parser.Term.typeSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L199-L199","name":"Lean.Parser.Term.typeSpec","line":199,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeSpec","doc":""},"Lean.Parser.Term.typeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L535-L536","name":"Lean.Parser.Term.typeOf","line":535,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeOf","doc":""},"Lean.Parser.Term.typeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L138-L139","name":"Lean.Parser.Term.typeAscription","line":138,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeAscription","doc":"Type ascription notation: `(0 : Int)` instructs Lean to process `0` as a value of type `Int`.\nAn empty type ascription `(e :)` elaborates `e` without the expected type.\nThis is occasionally useful when Lean's heuristics for filling arguments from the expected type\ndo not yield the right result.\n"},"Lean.Parser.Term.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L109-L110","name":"Lean.Parser.Term.type","line":109,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.type","doc":"A type universe. `Type ≡ Type 0`, `Type u ≡ Sort (u + 1)`. "},"Lean.Parser.Term.tuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L141-L142","name":"Lean.Parser.Term.tuple","line":141,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.tuple","doc":"Tuple notation; `()` is short for `Unit.unit`, `(a, b, c)` for `Prod.mk a (Prod.mk b c)`, etc. "},"Lean.Parser.Term.trueVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L303-L303","name":"Lean.Parser.Term.trueVal","line":303,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trueVal","doc":""},"Lean.Parser.Term.trailing_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L376-L377","name":"Lean.Parser.Term.trailing_parser","line":376,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trailing_parser","doc":""},"Lean.Parser.Term.termUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L206-L207","name":"Lean.Parser.Term.termUnless","line":206,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termUnless","doc":"`unless e do s` is a nicer way to write `if !e do s`. "},"Lean.Parser.Term.termTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L210-L211","name":"Lean.Parser.Term.termTry","line":210,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termTry","doc":""},"Lean.Parser.Term.termReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L216-L217","name":"Lean.Parser.Term.termReturn","line":216,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termReturn","doc":"`return` used outside of `do` blocks creates an implicit block around it\nand thus is equivalent to `pure e`, but helps with avoiding parentheses.\n"},"Lean.Parser.Term.termFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L208-L209","name":"Lean.Parser.Term.termFor","line":208,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termFor","doc":""},"Lean.Parser.Term.termBeforeDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L31-L31","name":"Lean.Parser.Term.termBeforeDo","line":31,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termBeforeDo","doc":""},"Lean.Parser.Term.syntheticHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L120-L121","name":"Lean.Parser.Term.syntheticHole","line":120,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.syntheticHole","doc":""},"Lean.Parser.Term.sufficesDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L168-L169","name":"Lean.Parser.Term.sufficesDecl","line":168,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sufficesDecl","doc":""},"Lean.Parser.Term.suffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L170-L171","name":"Lean.Parser.Term.suffices","line":170,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.suffices","doc":""},"Lean.Parser.Term.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L634-L635","name":"Lean.Parser.Term.subst","line":634,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.subst","doc":"`h ▸ e` is a macro built on top of `Eq.rec` and `Eq.symm` definitions.\nGiven `h : a = b` and `e : p a`, the term `h ▸ e` has type `p b`.\nYou can also view `h ▸ e` as a \"type casting\" operation\nwhere you change the type of `e` by using `h`.\nSee the Chapter \"Quantifiers and Equality\" in the manual\n\"Theorem Proving in Lean\" for additional information.\n"},"Lean.Parser.Term.structInstLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L175-L177","name":"Lean.Parser.Term.structInstLVal","line":175,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstLVal","doc":""},"Lean.Parser.Term.structInstFieldAbbrev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L180-L182","name":"Lean.Parser.Term.structInstFieldAbbrev","line":180,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstFieldAbbrev","doc":""},"Lean.Parser.Term.structInstField":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L178-L179","name":"Lean.Parser.Term.structInstField","line":178,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstField","doc":""},"Lean.Parser.Term.structInstArrayRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L173-L174","name":"Lean.Parser.Term.structInstArrayRef","line":173,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstArrayRef","doc":""},"Lean.Parser.Term.structInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L194-L198","name":"Lean.Parser.Term.structInst","line":194,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInst","doc":"Structure instance. `{ x := e, ... }` assigns `e` to field `x`, which may be\ninherited. If `e` is itself a variable called `x`, it can be elided:\n`fun y => { x := 1, y }`.\nA *structure update* of an existing value can be given via `with`:\n`{ point with x := 1 }`.\nThe structure type can be specified if not inferable:\n`{ x := 1, y := 2 : Point }`.\n"},"Lean.Parser.Term.strictImplicitRightBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L239-L239","name":"Lean.Parser.Term.strictImplicitRightBracket","line":239,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitRightBracket","doc":""},"Lean.Parser.Term.strictImplicitLeftBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L238-L238","name":"Lean.Parser.Term.strictImplicitLeftBracket","line":238,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitLeftBracket","doc":""},"Lean.Parser.Term.strictImplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L245-L247","name":"Lean.Parser.Term.strictImplicitBinder","line":245,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitBinder","doc":"Strict-implicit binder. In contrast to `{ ... }` regular implicit binders,\na strict-implicit binder is inserted automatically only when at least one subsequent\nexplicit parameter is specified.\n"},"Lean.Parser.Term.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L104-L105","name":"Lean.Parser.Term.str","line":104,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.str","doc":""},"Lean.Parser.Term.stateRefT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L670-L671","name":"Lean.Parser.Term.stateRefT","line":670,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.stateRefT","doc":""},"Lean.Parser.Term.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L112-L113","name":"Lean.Parser.Term.sort","line":112,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sort","doc":"A specific universe in Lean's infinite hierarchy of universes. "},"Lean.Parser.Term.sorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L124-L125","name":"Lean.Parser.Term.sorry","line":124,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sorry","doc":"A temporary placeholder for a missing proof or value. "},"Lean.Parser.Term.showRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L167-L167","name":"Lean.Parser.Term.showRhs","line":167,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.showRhs","doc":""},"Lean.Parser.Term.show":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L172-L172","name":"Lean.Parser.Term.show","line":172,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.show","doc":""},"Lean.Parser.Term.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L309-L310","name":"Lean.Parser.Term.set_option","line":309,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.set_option","doc":"`set_option opt val in e` is like `set_option opt val` but scoped to a single term.\nIt sets the option `opt` to the value `val` in the term `e`.\n"},"Lean.Parser.Term.scoped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L480-L480","name":"Lean.Parser.Term.scoped","line":480,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scoped","doc":""},"Lean.Parser.Term.scientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L102-L103","name":"Lean.Parser.Term.scientific","line":102,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scientific","doc":""},"Lean.Parser.Term.quotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L382-L382","name":"Lean.Parser.Term.quotedName","line":382,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.quotedName","doc":"A literal of type `Name`. "},"Lean.Parser.Term.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L13-L14","name":"Lean.Parser.Term.quot","line":13,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.quot","doc":"Syntax quotation for terms. "},"Lean.Parser.Term.prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L115-L116","name":"Lean.Parser.Term.prop","line":115,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.prop","doc":"The universe of propositions. `Prop ≡ Sort 0`. "},"Lean.Parser.Term.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L595-L596","name":"Lean.Parser.Term.proj","line":595,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.proj","doc":"The *extended field notation* `e.f` is roughly short for `T.f e` where `T` is the type of `e`.\nMore precisely,\n* if `e` is of a function type, `e.f` is translated to `Function.f (p := e)`\n where `p` is the first explicit parameter of function type\n* if `e` is of a named type `T ...` and there is a declaration `T.f` (possibly from `export`),\n `e.f` is translated to `T.f (p := e)` where `p` is the first explicit parameter of type `T ...`\n* otherwise, if `e` is of a structure type,\n the above is repeated for every base type of the structure.\n\nThe field index notation `e.i`, where `i` is a positive number,\nis short for accessing the `i`-th field (1-indexed) of `e` if it is of a structure type. "},"Lean.Parser.Term.precheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L15-L16","name":"Lean.Parser.Term.precheckedQuot","line":15,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.precheckedQuot","doc":""},"Lean.Parser.Term.pipeProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L621-L622","name":"Lean.Parser.Term.pipeProj","line":621,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeProj","doc":"`e |>.x` is a shorthand for `(e).x`.\nIt is especially useful for avoiding parentheses with repeated applications.\n"},"Lean.Parser.Term.pipeCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L623-L624","name":"Lean.Parser.Term.pipeCompletion","line":623,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeCompletion","doc":""},"Lean.Parser.Term.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L152-L153","name":"Lean.Parser.Term.paren","line":152,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.paren","doc":"Parentheses, used for grouping expressions (e.g., `a * (b + c)`).\nCan also be used for creating simple functions when combined with `·`. Here are some examples:\n - `(· + 1)` is shorthand for `fun x => x + 1`\n - `(· + ·)` is shorthand for `fun x y => x + y`\n - `(f · a b)` is shorthand for `fun x => f x a b`\n - `(h (· + 1) ·)` is shorthand for `fun x => h (fun y => y + 1) x`\n - also applies to other parentheses-like notations such as `(·, 1)`\n"},"Lean.Parser.Term.panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L648-L649","name":"Lean.Parser.Term.panic","line":648,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.panic","doc":"`panic! msg` formally evaluates to `@Inhabited.default α` if the expected type\n`α` implements `Inhabited`.\nAt runtime, `msg` and the file position are printed to stderr unless the C\nfunction `lean_set_panic_messages(false)` has been executed before. If the C\nfunction `lean_set_exit_on_panic(true)` has been executed before, the process is\nthen aborted.\n"},"Lean.Parser.Term.optType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L200-L200","name":"Lean.Parser.Term.optType","line":200,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optType","doc":""},"Lean.Parser.Term.optSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L94-L95","name":"Lean.Parser.Term.optSemicolon","line":94,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optSemicolon","doc":""},"Lean.Parser.Term.optIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L163-L164","name":"Lean.Parser.Term.optIdent","line":163,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optIdent","doc":""},"Lean.Parser.Term.optExprPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L370-L370","name":"Lean.Parser.Term.optExprPrecedence","line":370,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optExprPrecedence","doc":""},"Lean.Parser.Term.optEllipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L183-L184","name":"Lean.Parser.Term.optEllipsis","line":183,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optEllipsis","doc":""},"Lean.Parser.Term.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L302-L303","name":"Lean.Parser.Term.open","line":302,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.open","doc":"`open Foo in e` is like `open Foo` but scoped to a single term.\nIt makes the given namespaces available in the term `e`.\n"},"Lean.Parser.Term.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L100-L101","name":"Lean.Parser.Term.num","line":100,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.num","doc":""},"Lean.Parser.Term.notFollowedByRedefinedTermToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L39-L46","name":"Lean.Parser.Term.notFollowedByRedefinedTermToken","line":39,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.notFollowedByRedefinedTermToken","doc":""},"Lean.Parser.Term.nomatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L351-L351","name":"Lean.Parser.Term.nomatch","line":351,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.nomatch","doc":"Empty match/ex falso. `nomatch e` is of arbitrary type `α : Sort u` if\nLean can show that an empty set of patterns is exhaustive given `e`'s type,\ne.g. because it has no constructors.\n"},"Lean.Parser.Term.noindex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L504-L505","name":"Lean.Parser.Term.noindex","line":504,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noindex","doc":""},"Lean.Parser.Term.noImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L541-L542","name":"Lean.Parser.Term.noImplicitLambda","line":541,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noImplicitLambda","doc":""},"Lean.Parser.Term.noErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L567-L568","name":"Lean.Parser.Term.noErrorIfUnused","line":567,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noErrorIfUnused","doc":"Helper parser for marking `match`-alternatives that should not trigger errors if unused.\nWe use them to implement `macro_rules` and `elab_rules`\n"},"Lean.Parser.Term.namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L612-L615","name":"Lean.Parser.Term.namedPattern","line":612,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedPattern","doc":"`x@e` matches the pattern `e` and binds its value to the identifier `x`. "},"Lean.Parser.Term.namedArgument":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L570-L571","name":"Lean.Parser.Term.namedArgument","line":570,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedArgument","doc":""},"Lean.Parser.Term.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L309-L311","name":"Lean.Parser.Term.motive","line":309,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.motive","doc":""},"Lean.Parser.Term.matchDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L300-L301","name":"Lean.Parser.Term.matchDiscr","line":300,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchDiscr","doc":""},"Lean.Parser.Term.matchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L501-L502","name":"Lean.Parser.Term.matchAltsWhereDecls","line":501,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltsWhereDecls","doc":""},"Lean.Parser.Term.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L297-L298","name":"Lean.Parser.Term.matchAlts","line":297,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlts","doc":""},"Lean.Parser.Term.matchAltExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L292-L292","name":"Lean.Parser.Term.matchAltExpr","line":292,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltExpr","doc":"Useful for syntax quotations. Note that generic patterns such as `` `(matchAltExpr| | ... => $rhs) `` should also\nwork with other `rhsParser`s (of arity 1). "},"Lean.Parser.Term.matchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L283-L288","name":"Lean.Parser.Term.matchAlt","line":283,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlt","doc":""},"Lean.Parser.Term.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L343-L345","name":"Lean.Parser.Term.match","line":343,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.match","doc":"Pattern matching. `match e, ... with | p, ... => f | ...` matches each given\nterm `e` against each pattern `p` of a match alternative. When all patterns\nof an alternative match, the `match` term evaluates to the value of the\ncorresponding right-hand side `f` with the pattern variables bound to the\nrespective matched values.\nWhen not constructing a proof, `match` does not automatically substitute variables\nmatched on in dependent variables' types. Use `match (generalizing := true) ...` to\nenforce this.\n\nSyntax quotations can also be used in a pattern match.\nThis matches a `Syntax` value against quotations, pattern variables, or `_`.\n\nQuoted identifiers only match identical identifiers - custom matching such as by the preresolved\nnames only should be done explicitly.\n\n`Syntax.atom`s are ignored during matching by default except when part of a built-in literal.\nFor users introducing new atoms, we recommend wrapping them in dedicated syntax kinds if they\nshould participate in matching.\nFor example, in\n```lean\nsyntax \"c\" (\"foo\" <|> \"bar\") ...\n```\n`foo` and `bar` are indistinguishable during matching, but in\n```lean\nsyntax foo := \"foo\"\nsyntax \"c\" (foo <|> \"bar\") ...\n```\nthey are not.\n"},"Lean.Parser.Term.macroLastArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L667-L667","name":"Lean.Parser.Term.macroLastArg","line":667,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroLastArg","doc":""},"Lean.Parser.Term.macroDollarArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L666-L666","name":"Lean.Parser.Term.macroDollarArg","line":666,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroDollarArg","doc":""},"Lean.Parser.Term.macroArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L665-L665","name":"Lean.Parser.Term.macroArg","line":665,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroArg","doc":""},"Lean.Parser.Term.local":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L481-L481","name":"Lean.Parser.Term.local","line":481,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.local","doc":""},"Lean.Parser.Term.liftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L19-L20","name":"Lean.Parser.Term.liftMethod","line":19,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.liftMethod","doc":""},"Lean.Parser.Term.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L492-L494","name":"Lean.Parser.Term.letrec","line":492,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letrec","doc":""},"Lean.Parser.Term.let_tmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L466-L467","name":"Lean.Parser.Term.let_tmp","line":466,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_tmp","doc":"`let`-declaration that is only included in the elaborated term if variable is still there.\nIt is often used when building macros.\n"},"Lean.Parser.Term.let_fun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L455-L456","name":"Lean.Parser.Term.let_fun","line":455,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_fun","doc":"`let_fun x := v; b` is syntax sugar for `(fun x => b) v`.\nIt is very similar to `let x := v; b`, but they are not equivalent.\nIn `let_fun`, the value `v` has been abstracted away and cannot be accessed in `b`.\n"},"Lean.Parser.Term.let_delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L460-L461","name":"Lean.Parser.Term.let_delayed","line":460,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_delayed","doc":"`let_delayed x := v; b` is similar to `let x := v; b`, but `b` is elaborated before `v`.\n"},"Lean.Parser.Term.letRecDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L489-L490","name":"Lean.Parser.Term.letRecDecls","line":489,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecls","doc":""},"Lean.Parser.Term.letRecDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L487-L488","name":"Lean.Parser.Term.letRecDecl","line":487,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecl","doc":""},"Lean.Parser.Term.letPatDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L402-L403","name":"Lean.Parser.Term.letPatDecl","line":402,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letPatDecl","doc":""},"Lean.Parser.Term.letMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L551-L552","name":"Lean.Parser.Term.letMVar","line":551,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letMVar","doc":""},"Lean.Parser.Term.letIdLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L396-L399","name":"Lean.Parser.Term.letIdLhs","line":396,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdLhs","doc":""},"Lean.Parser.Term.letIdDeclNoBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L67-L68","name":"Lean.Parser.Term.letIdDeclNoBinders","line":67,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.letIdDeclNoBinders","doc":""},"Lean.Parser.Term.letIdDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L400-L401","name":"Lean.Parser.Term.letIdDecl","line":400,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdDecl","doc":""},"Lean.Parser.Term.letIdBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L392-L394","name":"Lean.Parser.Term.letIdBinder","line":392,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdBinder","doc":""},"Lean.Parser.Term.letEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L420-L421","name":"Lean.Parser.Term.letEqnsDecl","line":420,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letEqnsDecl","doc":""},"Lean.Parser.Term.letDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L424-L426","name":"Lean.Parser.Term.letDecl","line":424,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letDecl","doc":""},"Lean.Parser.Term.let":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L448-L449","name":"Lean.Parser.Term.let","line":448,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let","doc":"`let` is used to declare a local definition. Example:\n```\nlet x := 1\nlet y := x + 1\nx + y\n```\nSince functions are first class citizens in Lean, you can use `let` to declare\nlocal functions too.\n```\nlet double := fun x => 2*x\ndouble (double 3)\n```\nFor recursive definitions, you should use `let rec`.\nYou can also perform pattern matching using `let`. For example,\nassume `p` has type `Nat × Nat`, then you can write\n```\nlet (x, y) := p\nx + y\n```\n"},"Lean.Parser.Term.leftArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L18-L18","name":"Lean.Parser.Term.leftArrow","line":18,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.leftArrow","doc":""},"Lean.Parser.Term.leading_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L374-L375","name":"Lean.Parser.Term.leading_parser","line":374,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.leading_parser","doc":""},"Lean.Parser.Term.isIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L602-L604","name":"Lean.Parser.Term.isIdent","line":602,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.isIdent","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L638-L638","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","line":638,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L294-L295","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","line":294,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","doc":""},"Lean.Parser.Term.instBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L252-L253","name":"Lean.Parser.Term.instBinder","line":252,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instBinder","doc":"Instance-implicit binder. 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"},"Lean.Parser.Term.doAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L171-L172","name":"Lean.Parser.Term.doAssert","line":171,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.doAssert","doc":""},"Lean.Parser.Term.do":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L197-L198","name":"Lean.Parser.Term.do","line":197,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.do","doc":""},"Lean.Parser.Term.depArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L274-L275","name":"Lean.Parser.Term.depArrow","line":274,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.depArrow","doc":""},"Lean.Parser.Term.defaultOrOfNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L560-L561","name":"Lean.Parser.Term.defaultOrOfNonempty","line":560,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.defaultOrOfNonempty","doc":""},"Lean.Parser.Term.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L525-L525","name":"Lean.Parser.Term.declName","line":525,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.declName","doc":"A macro which evaluates to the name of the currently elaborating declaration. "},"Lean.Parser.Term.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L657-L659","name":"Lean.Parser.Term.dbgTrace","line":657,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.dbgTrace","doc":"`dbg_trace e; body` evaluates to `body` and prints `e` (which can be an\ninterpolated string literal) to stderr. It should only be used for debugging.\n"},"Lean.Parser.Term.completion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L597-L598","name":"Lean.Parser.Term.completion","line":597,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.completion","doc":""},"Lean.Parser.Term.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L548-L549","name":"Lean.Parser.Term.clear","line":548,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.clear","doc":"`clear% x; e` elaborates `x` after clearing the free variable `x` from the local context.\nIf `x` cannot be cleared (due to dependencies), it will keep `x` without failing.\n"},"Lean.Parser.Term.char":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L106-L107","name":"Lean.Parser.Term.char","line":106,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.char","doc":""},"Lean.Parser.Term.cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L130-L131","name":"Lean.Parser.Term.cdot","line":130,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.cdot","doc":"A placeholder for an implicit lambda abstraction's variable. The lambda abstraction is scoped to the surrounding parentheses.\nFor example, `(· + ·)` is equivalent to `fun x y => x + y`.\n"},"Lean.Parser.Term.byTactic'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L90-L91","name":"Lean.Parser.Term.byTactic'","line":90,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic'","doc":""},"Lean.Parser.Term.byTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L81-L82","name":"Lean.Parser.Term.byTactic","line":81,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic","doc":"`by tac` constructs a term of the expected type by running the tactic(s) `tac`. "},"Lean.Parser.Term.bracketedBinderF":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L637-L637","name":"Lean.Parser.Term.bracketedBinderF","line":637,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinderF","doc":""},"Lean.Parser.Term.bracketedBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L254-L257","name":"Lean.Parser.Term.bracketedBinder","line":254,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinder","doc":""},"Lean.Parser.Term.borrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L379-L380","name":"Lean.Parser.Term.borrowed","line":379,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.borrowed","doc":""},"Lean.Parser.Term.binrel_no_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L510-L511","name":"Lean.Parser.Term.binrel_no_prop","line":510,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel_no_prop","doc":"Similar to `binrel`, but coerce `Prop` arguments into `Bool`. "},"Lean.Parser.Term.binrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L507-L508","name":"Lean.Parser.Term.binrel","line":507,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel","doc":""},"Lean.Parser.Term.binop_lazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L514-L515","name":"Lean.Parser.Term.binop_lazy","line":514,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop_lazy","doc":""},"Lean.Parser.Term.binop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L512-L513","name":"Lean.Parser.Term.binop","line":512,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop","doc":""},"Lean.Parser.Term.binderType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L213-L214","name":"Lean.Parser.Term.binderType","line":213,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderType","doc":""},"Lean.Parser.Term.binderTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L215-L216","name":"Lean.Parser.Term.binderTactic","line":215,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderTactic","doc":""},"Lean.Parser.Term.binderIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L122-L122","name":"Lean.Parser.Term.binderIdent","line":122,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderIdent","doc":""},"Lean.Parser.Term.binderDefault.parenthesizer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L221-L228","name":"Lean.Parser.Term.binderDefault.parenthesizer","line":221,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault.parenthesizer","doc":""},"Lean.Parser.Term.binderDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L217-L218","name":"Lean.Parser.Term.binderDefault","line":217,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault","doc":""},"Lean.Parser.Term.basicFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L365-L366","name":"Lean.Parser.Term.basicFun","line":365,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.basicFun","doc":""},"Lean.Parser.Term.attributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L485-L486","name":"Lean.Parser.Term.attributes","line":485,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attributes","doc":""},"Lean.Parser.Term.attrKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L482-L482","name":"Lean.Parser.Term.attrKind","line":482,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrKind","doc":""},"Lean.Parser.Term.attrInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L483-L483","name":"Lean.Parser.Term.attrInstance","line":483,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrInstance","doc":""},"Lean.Parser.Term.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L661-L662","name":"Lean.Parser.Term.assert","line":661,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.assert","doc":"`assert! cond` panics if `cond` evaluates to `false`. "},"Lean.Parser.Term.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L599-L600","name":"Lean.Parser.Term.arrow","line":599,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.arrow","doc":""},"Lean.Parser.Term.argument":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L574-L577","name":"Lean.Parser.Term.argument","line":574,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.argument","doc":""},"Lean.Parser.Term.app":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L581-L581","name":"Lean.Parser.Term.app","line":581,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.app","doc":""},"Lean.Parser.Term.anonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L161-L162","name":"Lean.Parser.Term.anonymousCtor","line":161,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.anonymousCtor","doc":"The *anonymous constructor* `⟨e, ...⟩` is equivalent to `c e ...` if the\nexpected type is an inductive type with a single constructor `c`.\nIf more terms are given than `c` has parameters, the remaining arguments\nare turned into a new anonymous constructor application. For example,\n`⟨a, b, c⟩ : α × (β × γ)` is equivalent to `⟨a, ⟨b, c⟩⟩`.\n"},"Lean.Parser.Tactic.«tactic_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L245-L250","name":"Lean.Parser.Tactic.«tactic_<;>_»","line":245,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tactic_<;>_»","doc":"`tac <;> tac'` runs `tac` on the main goal and `tac'` on each produced goal,\nconcatenating all goals produced by `tac'`.\n"},"Lean.Parser.Tactic.«tacticNext_=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L165-L165","name":"Lean.Parser.Tactic.«tacticNext_=>_»","line":165,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticNext_=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.«tacticHave'_:=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L514-L514","name":"Lean.Parser.Tactic.«tacticHave'_:=_»","line":514,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticHave'_:=_»","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.«tacticExists_,,»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L730-L731","name":"Lean.Parser.Tactic.«tacticExists_,,»","line":730,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticExists_,,»","doc":"`exists e₁, e₂, ...` is shorthand for `refine ⟨e₁, e₂, ...⟩; try trivial`.\nIt is useful for existential goals.\n"},"Lean.Parser.Tactic.withUnfoldingAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L216-L220","name":"Lean.Parser.Tactic.withUnfoldingAll","line":216,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withUnfoldingAll","doc":"`with_unfolding_all tacs` excutes `tacs` using the `.all` transparency setting.\nIn this setting all definitions that are not opaque are unfolded.\n"},"Lean.Parser.Tactic.withReducibleAndInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L210-L214","name":"Lean.Parser.Tactic.withReducibleAndInstances","line":210,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducibleAndInstances","doc":"`with_reducible_and_instances tacs` excutes `tacs` using the `.instances` transparency setting.\nIn this setting only definitions tagged as `[reducible]` or type class instances are unfolded.\n"},"Lean.Parser.Tactic.withReducible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L204-L208","name":"Lean.Parser.Tactic.withReducible","line":204,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducible","doc":"`with_reducible tacs` excutes `tacs` using the reducible transparency setting.\nIn this setting only definitions tagged as `[reducible]` are unfolded.\n"},"Lean.Parser.Tactic.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L11-L16","name":"Lean.Parser.Tactic.withAnnotateState","line":11,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L22-L23","name":"Lean.Parser.Tactic.unknown","line":22,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.unknown","doc":""},"Lean.Parser.Tactic.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L453-L461","name":"Lean.Parser.Tactic.unfold","line":453,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.unfold","doc":"* `unfold id` unfolds definition `id`.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\n\nFor non-recursive definitions, this tactic is identical to `delta`.\nFor definitions by pattern matching, it uses \"equation lemmas\" which are\nautogenerated for each match arm.\n"},"Lean.Parser.Tactic.traceState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L188-L189","name":"Lean.Parser.Tactic.traceState","line":188,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceState","doc":"`trace_state` displays the current state in the info view. "},"Lean.Parser.Tactic.traceMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L191-L192","name":"Lean.Parser.Tactic.traceMessage","line":191,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceMessage","doc":"`trace msg` displays `msg` in the info view. "},"Lean.Parser.Tactic.tacticUnhygienic_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L690-L690","name":"Lean.Parser.Tactic.tacticUnhygienic_","line":690,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticUnhygienic_","doc":"`unhygienic tacs` runs `tacs` with name hygiene disabled.\nThis means that tactics that would normally create inaccessible names will instead\nmake regular variables. **Warning**: Tactics may change their variable naming\nstrategies at any time, so code that depends on autogenerated names is brittle.\nUsers should try not to use `unhygienic` if possible.\n```\nexample : ∀ x : Nat, x = x := by unhygienic\n intro -- x would normally be intro'd as inaccessible\n exact Eq.refl x -- refer to x\n```\n"},"Lean.Parser.Tactic.tacticTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L239-L239","name":"Lean.Parser.Tactic.tacticTry_","line":239,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.tacticTrivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L618-L626","name":"Lean.Parser.Tactic.tacticTrivial","line":618,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTrivial","doc":"`trivial` tries different simple tactics (e.g., `rfl`, `contradiction`, ...)\nto close the current goal.\nYou can use the command `macro_rules` to extend the set of tactics used. Example:\n```\nmacro_rules | `(tactic| trivial) => `(tactic| simp)\n```\n"},"Lean.Parser.Tactic.tacticSuffices_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L488-L488","name":"Lean.Parser.Tactic.tacticSuffices_","line":488,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSuffices_","doc":"Given a main goal `ctx ⊢ t`, `suffices h : t' from e` replaces the main goal with `ctx ⊢ t'`,\n`e` must have type `t` in the context `ctx, h : t'`.\n\nThe variant `suffices h : t' by tac` is a shorthand for `suffices h : t' from by tac`.\nIf `h :` is omitted, the name `this` is used.\n "},"Lean.Parser.Tactic.tacticStop_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L659-L659","name":"Lean.Parser.Tactic.tacticStop_","line":659,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticStop_","doc":"`stop` is a helper tactic for \"discarding\" the rest of a proof:\nit is defined as `repeat sorry`.\nIt is useful when working on the middle of a complex proofs,\nand less messy than commenting the remainder of the proof.\n"},"Lean.Parser.Tactic.tacticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L286-L286","name":"Lean.Parser.Tactic.tacticSorry","line":286,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSorry","doc":"The `sorry` tactic closes the goal using `sorryAx`. This is intended for stubbing out incomplete\nparts of a proof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n"},"Lean.Parser.Tactic.tacticShow_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L502-L502","name":"Lean.Parser.Tactic.tacticShow_","line":502,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticShow_","doc":"`show t` finds the first goal whose target unifies with `t`. It makes that the main goal,\nperforms the unification, and replaces the target with the unified version of `t`.\n"},"Lean.Parser.Tactic.tacticSeqIndentGt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L64-L65","name":"Lean.Parser.Tactic.tacticSeqIndentGt","line":64,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqIndentGt","doc":"Same as [`tacticSeq`] but requires delimiter-free tactic sequence to have strict indentation.\nThe strict indentation requirement only apply to *nested* `by`s, as top-level `by`s do not have a\nposition set. "},"Lean.Parser.Tactic.tacticSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L53-L54","name":"Lean.Parser.Tactic.tacticSeqBracketed","line":53,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqBracketed","doc":"The syntax `{ tacs }` is an alternative syntax for `· tacs`.\nIt runs the tactics in sequence, and fails if the goal is not solved. "},"Lean.Parser.Tactic.tacticSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L49-L50","name":"Lean.Parser.Tactic.tacticSeq1Indented","line":49,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq1Indented","doc":""},"Lean.Parser.Tactic.tacticSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L58-L59","name":"Lean.Parser.Tactic.tacticSeq","line":58,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq","doc":"A sequence of tactics in brackets, or a delimiter-free indented sequence of tactics.\nDelimiter-free indentation is determined by the *first* tactic of the sequence. "},"Lean.Parser.Tactic.tacticRfl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L266-L266","name":"Lean.Parser.Tactic.tacticRfl'","line":266,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl'","doc":"`rfl'` is similar to `rfl`, but disables smart unfolding and unfolds all kinds of definitions,\ntheorems included (relevant for declarations defined by well-founded recursion).\n"},"Lean.Parser.Tactic.tacticRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L260-L260","name":"Lean.Parser.Tactic.tacticRfl","line":260,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl","doc":"`rfl` tries to close the current goal using reflexivity.\nThis is supposed to be an extensible tactic and users can add their own support\nfor new reflexive relations.\n"},"Lean.Parser.Tactic.tacticRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L609-L614","name":"Lean.Parser.Tactic.tacticRepeat_","line":609,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRepeat_","doc":"`repeat tac` repeatedly applies `tac` to the main goal until it fails.\nThat is, if `tac` produces multiple subgoals, only subgoals up to the first failure will be visited.\nThe `Std` library provides `repeat'` which repeats separately in each subgoal.\n"},"Lean.Parser.Tactic.tacticRefine_lift_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L467-L467","name":"Lean.Parser.Tactic.tacticRefine_lift_","line":467,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift_","doc":"Auxiliary macro for lifting have/suffices/let/...\nIt makes sure the \"continuation\" `?_` is the main goal after refining.\n"},"Lean.Parser.Tactic.tacticRefine_lift'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L510-L510","name":"Lean.Parser.Tactic.tacticRefine_lift'_","line":510,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift'_","doc":"Similar to `refine_lift`, but using `refine'` "},"Lean.Parser.Tactic.tacticLet_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L497-L497","name":"Lean.Parser.Tactic.tacticLet_","line":497,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet_","doc":"`let h : t := e` adds the hypothesis `h : t := e` to the current goal if `e` a term of type `t`.\nIf `t` is omitted, it will be inferred.\nThe variant `let pattern := e` is equivalent to `match e with | pattern => _`,\nand it is convenient for types that have only applicable constructor.\nExample: given `h : p ∧ q ∧ r`, `let ⟨h₁, h₂, h₃⟩ := h` produces the hypotheses\n`h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticLet'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L516-L516","name":"Lean.Parser.Tactic.tacticLet'_","line":516,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet'_","doc":"Similar to `let`, but using `refine'` "},"Lean.Parser.Tactic.tacticInfer_instance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L295-L295","name":"Lean.Parser.Tactic.tacticInfer_instance","line":295,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticInfer_instance","doc":"`infer_instance` is an abbreviation for `exact inferInstance`.\nIt synthesizes a value of any target type by typeclass inference.\n"},"Lean.Parser.Tactic.tacticHave_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L479-L479","name":"Lean.Parser.Tactic.tacticHave_","line":479,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave_","doc":"`have h : t := e` adds the hypothesis `h : t` to the current goal if `e` a term\nof type `t`.\n* If `t` is omitted, it will be inferred.\n* If `h` is omitted, the name `this` is used.\n* The variant `have pattern := e` is equivalent to `match e with | pattern => _`,\n and it is convenient for types that have only one applicable constructor.\n For example, given `h : p ∧ q ∧ r`, `have ⟨h₁, h₂, h₃⟩ := h` produces the\n hypotheses `h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticHave'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L512-L512","name":"Lean.Parser.Tactic.tacticHave'_","line":512,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave'_","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.tacticErw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1298-L1299","name":"Lean.Parser.Tactic.tacticErw__","line":1298,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.tacticErw__","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.tacticAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L289-L289","name":"Lean.Parser.Tactic.tacticAdmit","line":289,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticAdmit","doc":"`admit` is a shorthand for `exact sorry`. "},"Lean.Parser.Tactic.substVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L72-L75","name":"Lean.Parser.Tactic.substVars","line":72,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.substVars","doc":"Applies `subst` to all hypotheses of the form `h : x = t` or `h : t = x`.\n"},"Lean.Parser.Tactic.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L65-L70","name":"Lean.Parser.Tactic.subst","line":65,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.subst","doc":"`subst x...` substitutes each `x` with `e` in the goal if there is a hypothesis\nof type `x = e` or `e = x`.\nIf `x` is itself a hypothesis of type `y = e` or `e = y`, `y` is substituted instead.\n"},"Lean.Parser.Tactic.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L628-L640","name":"Lean.Parser.Tactic.split","line":628,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.split","doc":"The `split` tactic is useful for breaking nested if-then-else and `match` expressions into separate cases.\nFor a `match` expression with `n` cases, the `split` tactic generates at most `n` subgoals.\n\nFor example, given `n : Nat`, and a target `if n = 0 then Q else R`, `split` will generate\none goal with hypothesis `n = 0` and target `Q`, and a second goal with hypothesis\n`¬n = 0` and target `R`. Note that the introduced hypothesis is unnamed, and is commonly\nrenamed used the `case` or `next` tactics.\n\n- `split` will split the goal (target).\n- `split at h` will split the hypothesis `h`.\n"},"Lean.Parser.Tactic.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L661-L669","name":"Lean.Parser.Tactic.specialize","line":661,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.specialize","doc":"The tactic `specialize h a₁ ... aₙ` works on local hypothesis `h`.\nThe premises of this hypothesis, either universal quantifications or\nnon-dependent implications, are instantiated by concrete terms coming\nfrom arguments `a₁` ... `aₙ`.\nThe tactic adds a new hypothesis with the same name `h := h a₁ ... aₙ`\nand tries to clear the previous one.\n"},"Lean.Parser.Tactic.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L720-L724","name":"Lean.Parser.Tactic.sleep","line":720,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.sleep","doc":"The tactic `sleep ms` sleeps for `ms` milliseconds and does nothing.\nIt is used for debugging purposes only.\n"},"Lean.Parser.Tactic.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L182-L183","name":"Lean.Parser.Tactic.skip","line":182,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.simpStar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L406-L407","name":"Lean.Parser.Tactic.simpStar","line":406,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpStar","doc":"The simp lemma specification `*` means to rewrite with all hypotheses "},"Lean.Parser.Tactic.simpPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L393-L394","name":"Lean.Parser.Tactic.simpPre","line":393,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPre","doc":"Use this rewrite rule before entering the subterms "},"Lean.Parser.Tactic.simpPost":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L395-L396","name":"Lean.Parser.Tactic.simpPost","line":395,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPost","doc":"Use this rewrite rule after entering the subterms "},"Lean.Parser.Tactic.simpLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L397-L403","name":"Lean.Parser.Tactic.simpLemma","line":397,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpLemma","doc":"A simp lemma specification is:\n* optional `↑` or `↓` to specify use before or after entering the subterm\n* optional `←` to use the lemma backward\n* `thm` for the theorem to rewrite with\n"},"Lean.Parser.Tactic.simpErase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L404-L405","name":"Lean.Parser.Tactic.simpErase","line":404,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpErase","doc":"An erasure specification `-thm` says to remove `thm` from the simp set "},"Lean.Parser.Tactic.simpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1324-L1327","name":"Lean.Parser.Tactic.simpAutoUnfold","line":1324,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAutoUnfold","doc":"`simp!` is shorthand for `simp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1333-L1336","name":"Lean.Parser.Tactic.simpArithAutoUnfold","line":1333,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArithAutoUnfold","doc":"`simp_arith!` is shorthand for `simp_arith` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1329-L1331","name":"Lean.Parser.Tactic.simpArith","line":1329,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArith","doc":"`simp_arith` is shorthand for `simp` with `arith := true`.\nThis enables the use of normalization by linear arithmetic. "},"Lean.Parser.Tactic.simpAllKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1301-L1301","name":"Lean.Parser.Tactic.simpAllKind","line":1301,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllKind","doc":""},"Lean.Parser.Tactic.simpAllAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1338-L1341","name":"Lean.Parser.Tactic.simpAllAutoUnfold","line":1338,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllAutoUnfold","doc":"`simp_all!` is shorthand for `simp_all` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpAllArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1346-L1347","name":"Lean.Parser.Tactic.simpAllArithAutoUnfold","line":1346,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArithAutoUnfold","doc":"`simp_all_arith!` combines the effects of `simp_all`, `simp_arith` and `simp!`. "},"Lean.Parser.Tactic.simpAllArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1343-L1344","name":"Lean.Parser.Tactic.simpAllArith","line":1343,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArith","doc":"`simp_all_arith` combines the effects of `simp_all` and `simp_arith`. "},"Lean.Parser.Tactic.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L430-L436","name":"Lean.Parser.Tactic.simpAll","line":430,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpAll","doc":"`simp_all` is a stronger version of `simp [*] at *` where the hypotheses and target\nare simplified multiple times until no simplication is applicable.\nOnly non-dependent propositional hypotheses are considered.\n"},"Lean.Parser.Tactic.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L408-L429","name":"Lean.Parser.Tactic.simp","line":408,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simp","doc":"The `simp` tactic uses lemmas and hypotheses to simplify the main goal target or\nnon-dependent hypotheses. It has many variants:\n- `simp` simplifies the main goal target using lemmas tagged with the attribute `[simp]`.\n- `simp [h₁, h₂, ..., hₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]` and the given `hᵢ`'s, where the `hᵢ`'s are expressions.\n If an `hᵢ` is a defined constant `f`, then the equational lemmas associated with\n `f` are used. This provides a convenient way to unfold `f`.\n- `simp [*]` simplifies the main goal target using the lemmas tagged with the\n attribute `[simp]` and all hypotheses.\n- `simp only [h₁, h₂, ..., hₙ]` is like `simp [h₁, h₂, ..., hₙ]` but does not use `[simp]` lemmas.\n- `simp [-id₁, ..., -idₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]`, but removes the ones named `idᵢ`.\n- `simp at h₁ h₂ ... hₙ` simplifies the hypotheses `h₁ : T₁` ... `hₙ : Tₙ`. If\n the target or another hypothesis depends on `hᵢ`, a new simplified hypothesis\n `hᵢ` is introduced, but the old one remains in the local context.\n- `simp at *` simplifies all the hypotheses and the target.\n- `simp [*] at *` simplifies target and all (propositional) hypotheses using the\n other hypotheses.\n"},"Lean.Parser.Tactic.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L321-L322","name":"Lean.Parser.Tactic.set_option","line":321,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.set_option","doc":"`set_option opt val in tacs` (the tactic) acts like `set_option opt val` at the command level,\nbut it sets the option only within the tactics `tacs`. "},"Lean.Parser.Tactic.seq1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L68-L69","name":"Lean.Parser.Tactic.seq1","line":68,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.seq1","doc":""},"Lean.Parser.Tactic.sepByIndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L38-L39","name":"Lean.Parser.Tactic.sepByIndentSemicolon","line":38,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepByIndentSemicolon","doc":""},"Lean.Parser.Tactic.sepBy1IndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L42-L43","name":"Lean.Parser.Tactic.sepBy1IndentSemicolon","line":42,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepBy1IndentSemicolon","doc":""},"Lean.Parser.Tactic.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L718-L718","name":"Lean.Parser.Tactic.save","line":718,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.save","doc":"`save` is defined to be the same as `skip`, but the elaborator has\nspecial handling for occurrences of `save` in tactic scripts and will transform\n`by tac1; save; tac2` to `by (checkpoint tac1); tac2`, meaning that the effect of `tac1`\nwill be cached and replayed. This is useful for improving responsiveness\nwhen working on a long tactic proof, by using `save` after expensive tactics.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.rwSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L359-L364","name":"Lean.Parser.Tactic.rwSeq","line":359,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwSeq","doc":"`rw` is like `rewrite`, but also tries to close the goal by \"cheap\" (reducible) `rfl` afterwards.\n"},"Lean.Parser.Tactic.rwRuleSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L341-L342","name":"Lean.Parser.Tactic.rwRuleSeq","line":341,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRuleSeq","doc":"A `rwRuleSeq` is a list of `rwRule` in brackets. "},"Lean.Parser.Tactic.rwRule":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L335-L340","name":"Lean.Parser.Tactic.rwRule","line":335,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRule","doc":"If `thm` is a theorem `a = b`, then as a rewrite rule,\n* `thm` means to replace `a` with `b`, and\n* `← thm` means to replace `b` with `a`.\n"},"Lean.Parser.Tactic.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L232-L236","name":"Lean.Parser.Tactic.rotateRight","line":232,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateRight","doc":"Rotate the goals to the right by `n`. That is, take the goal at the back\nand push it to the front `n` times. If `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L225-L230","name":"Lean.Parser.Tactic.rotateLeft","line":225,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateLeft","doc":"`rotate_left n` rotates goals to the left by `n`. That is, `rotate_left 1`\ntakes the main goal and puts it to the back of the subgoal list.\nIf `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rewriteSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L344-L354","name":"Lean.Parser.Tactic.rewriteSeq","line":344,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rewriteSeq","doc":"`rewrite [e]` applies identity `e` as a rewrite rule to the target of the main goal.\nIf `e` is preceded by left arrow (`←` or `<-`), the rewrite is applied in the reverse direction.\nIf `e` is a defined constant, then the equational theorems associated with `e` are used.\nThis provides a convenient way to unfold `e`.\n- `rewrite [e₁, ..., eₙ]` applies the given rules sequentially.\n- `rewrite [e] at l` rewrites `e` at location(s) `l`, where `l` is either `*` or a\n list of hypotheses in the local context. In the latter case, a turnstile `⊢` or `|-`\n can also be used, to signify the target of the goal.\n"},"Lean.Parser.Tactic.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L53-L57","name":"Lean.Parser.Tactic.revert","line":53,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.revert","doc":"`revert x...` is the inverse of `intro x...`: it moves the given hypotheses\ninto the main goal's target type.\n"},"Lean.Parser.Tactic.renameI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L606-L607","name":"Lean.Parser.Tactic.renameI","line":606,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.renameI","doc":"`rename_i x_1 ... x_n` renames the last `n` inaccessible names using the given names. "},"Lean.Parser.Tactic.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L47-L51","name":"Lean.Parser.Tactic.rename","line":47,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rename","doc":"`rename t => x` renames the most recent hypothesis whose type matches `t`\n(which may contain placeholders) to `x`, or fails if no such hypothesis could be found.\n"},"Lean.Parser.Tactic.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L252-L253","name":"Lean.Parser.Tactic.refl","line":252,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refl","doc":"`eq_refl` is equivalent to `exact rfl`, but has a few optimizations. "},"Lean.Parser.Tactic.refine'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L131-L135","name":"Lean.Parser.Tactic.refine'","line":131,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine'","doc":"`refine' e` behaves like `refine e`, except that unsolved placeholders (`_`)\nand implicit parameters are also converted into new goals.\n"},"Lean.Parser.Tactic.refine":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L124-L129","name":"Lean.Parser.Tactic.refine","line":124,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine","doc":"`refine e` behaves like `exact e`, except that named (`?x`) or unnamed (`?_`)\nholes in `e` that are not solved by unification with the main goal's target type\nare converted into new goals, using the hole's name, if any, as the goal case name.\n"},"Lean.Parser.Tactic.quotSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L683-L684","name":"Lean.Parser.Tactic.quotSeq","line":683,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quotSeq","doc":""},"Lean.Parser.Tactic.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L681-L682","name":"Lean.Parser.Tactic.quot","line":681,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quot","doc":""},"Lean.Parser.Tactic.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L197-L202","name":"Lean.Parser.Tactic.paren","line":197,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.paren","doc":"`(tacs)` executes a list of tactics in sequence, without requiring that\nthe goal be closed at the end like `· tacs`. Like `by` itself, the tactics\ncan be either separated by newlines or `;`.\n"},"Lean.Parser.Tactic.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L316-L317","name":"Lean.Parser.Tactic.open","line":316,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.open","doc":"`open Foo in tacs` (the tactic) acts like `open Foo` at command level,\nbut it opens a namespace only within the tactics `tacs`. "},"Lean.Parser.Tactic.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L25-L25","name":"Lean.Parser.Tactic.nestedTactic","line":25,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nestedTactic","doc":""},"Lean.Parser.Tactic.nativeDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L92-L93","name":"Lean.Parser.Tactic.nativeDecide","line":92,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nativeDecide","doc":"`native_decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Unlike `decide`, this\nuses `#eval` to evaluate the decidability instance.\n\nThis should be used with care because it adds the entire lean compiler to the trusted\npart, and the axiom `ofReduceBool` will show up in `#print axioms` for theorems using\nthis method or anything that transitively depends on them. Nevertheless, because it is\ncompiled, this can be significantly more efficient than using `decide`, and for very\nlarge computations this is one way to run external programs and trust the result.\n```\nexample : (List.range 1000).length = 1000 := by native_decide\n```\n"},"Lean.Parser.Tactic.matchRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L27-L27","name":"Lean.Parser.Tactic.matchRhs","line":27,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchRhs","doc":""},"Lean.Parser.Tactic.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L28-L28","name":"Lean.Parser.Tactic.matchAlts","line":28,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchAlts","doc":""},"Lean.Parser.Tactic.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L43-L46","name":"Lean.Parser.Tactic.match","line":43,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.match","doc":"`match` performs case analysis on one or more expressions.\nSee [Induction and Recursion][tpil4].\nThe syntax for the `match` tactic is the same as term-mode `match`, except that\nthe match arms are tactics instead of expressions.\n```\nexample (n : Nat) : n = n := by\n match n with\n | 0 => rfl\n | i+1 => simp\n```\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/induction_and_recursion.html\n"},"Lean.Parser.Tactic.locationWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L300-L301","name":"Lean.Parser.Tactic.locationWildcard","line":300,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationWildcard","doc":"The `*` location refers to all hypotheses and the goal. "},"Lean.Parser.Tactic.locationHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L303-L307","name":"Lean.Parser.Tactic.locationHyp","line":303,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationHyp","doc":"A hypothesis location specification consists of 1 or more hypothesis references\nand optionally `⊢` denoting the goal.\n"},"Lean.Parser.Tactic.location":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L309-L318","name":"Lean.Parser.Tactic.location","line":309,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.location","doc":"Location specifications are used by many tactics that can operate on either the\nhypotheses or the goal. It can have one of the forms:\n* 'empty' is not actually present in this syntax, but most tactics use\n `(location)?` matchers. It means to target the goal only.\n* `at h₁ ... hₙ`: target the hypotheses `h₁`, ..., `hₙ`\n* `at h₁ h₂ ⊢`: target the hypotheses `h₁` and `h₂`, and the goal\n* `at *`: target all hypotheses and the goal\n"},"Lean.Parser.Tactic.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L503-L505","name":"Lean.Parser.Tactic.letrec","line":503,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.letrec","doc":"`let rec f : t := e` adds a recursive definition `f` to the current goal.\nThe syntax is the same as term-mode `let rec`. "},"Lean.Parser.Tactic.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L41-L45","name":"Lean.Parser.Tactic.intros","line":41,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intros","doc":"`intros x...` behaves like `intro x...`, but then keeps introducing (anonymous)\nhypotheses until goal is not of a function type.\n"},"Lean.Parser.Tactic.introMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L65-L66","name":"Lean.Parser.Tactic.introMatch","line":65,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.introMatch","doc":"The tactic\n```\nintro\n| pat1 => tac1\n| pat2 => tac2\n```\nis the same as:\n```\nintro x\nmatch x with\n| pat1 => tac1\n| pat2 => tac2\n```\nThat is, `intro` can be followed by match arms and it introduces the values while\ndoing a pattern match. This is equivalent to `fun` with match arms in term mode.\n"},"Lean.Parser.Tactic.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L18-L39","name":"Lean.Parser.Tactic.intro","line":18,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intro","doc":"Introduces one or more hypotheses, optionally naming and/or pattern-matching them.\nFor each hypothesis to be introduced, the remaining main goal's target type must\nbe a `let` or function type.\n\n* `intro` by itself introduces one anonymous hypothesis, which can be accessed\n by e.g. `assumption`.\n* `intro x y` introduces two hypotheses and names them. Individual hypotheses\n can be anonymized via `_`, or matched against a pattern:\n ```lean\n -- ... ⊢ α × β → ...\n intro (a, b)\n -- ..., a : α, b : β ⊢ ...\n ```\n* Alternatively, `intro` can be combined with pattern matching much like `fun`:\n ```lean\n intro\n | n + 1, 0 => tac\n | ...\n ```\n"},"Lean.Parser.Tactic.injections":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L381-L385","name":"Lean.Parser.Tactic.injections","line":381,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injections","doc":"`injections` applies `injection` to all hypotheses recursively\n(since `injection` can produce new hypotheses). Useful for destructing nested\nconstructor equalities like `(a::b::c) = (d::e::f)`. "},"Lean.Parser.Tactic.injection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L366-L379","name":"Lean.Parser.Tactic.injection","line":366,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injection","doc":"The `injection` tactic is based on the fact that constructors of inductive data\ntypes are injections.\nThat means that if `c` is a constructor of an inductive datatype, and if `(c t₁)`\nand `(c t₂)` are two terms that are equal then `t₁` and `t₂` are equal too.\nIf `q` is a proof of a statement of conclusion `t₁ = t₂`, then injection applies\ninjectivity to derive the equality of all arguments of `t₁` and `t₂` placed in\nthe same positions. For example, from `(a::b) = (c::d)` we derive `a=c` and `b=d`.\nTo use this tactic `t₁` and `t₂` should be constructor applications of the same constructor.\nGiven `h : a::b = c::d`, the tactic `injection h` adds two new hypothesis with types\n`a = c` and `b = d` to the main goal.\nThe tactic `injection h with h₁ h₂` uses the names `h₁` and `h₂` to name the new hypotheses.\n"},"Lean.Parser.Tactic.inductionAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L529-L533","name":"Lean.Parser.Tactic.inductionAlts","line":529,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlts","doc":"After `with`, there is an optional tactic that runs on all branches, and\nthen a list of alternatives.\n"},"Lean.Parser.Tactic.inductionAltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L518-L523","name":"Lean.Parser.Tactic.inductionAltLHS","line":518,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAltLHS","doc":"The left hand side of an induction arm, `| foo a b c` or `| @foo a b c`\nwhere `foo` is a constructor of the inductive type and `a b c` are the arguments\nto the contstructor.\n"},"Lean.Parser.Tactic.inductionAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L524-L528","name":"Lean.Parser.Tactic.inductionAlt","line":524,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlt","doc":"In induction alternative, which can have 1 or more cases on the left\nand `_`, `?_`, or a tactic sequence after the `=>`.\n"},"Lean.Parser.Tactic.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L535-L562","name":"Lean.Parser.Tactic.induction","line":535,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.induction","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`induction x` applies induction on `x` to the main goal,\nproducing one goal for each constructor of the inductive type,\nin which the target is replaced by a general instance of that constructor\nand an inductive hypothesis is added for each recursive argument to the constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the inductive hypothesis incorporates that hypothesis as well.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`induction n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypotheses `h : P (Nat.succ a)` and `ih₁ : P a → Q a` and target `Q (Nat.succ a)`.\nHere the names `a` and `ih₁` are chosen automatically and are not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `induction e`, where `e` is an expression instead of a variable,\n generalizes `e` in the goal, and then performs induction on the resulting variable.\n- `induction e using r` allows the user to specify the principle of induction that should be used.\n Here `r` should be a theorem whose result type must be of the form `C t`,\n where `C` is a bound variable and `t` is a (possibly empty) sequence of bound variables\n- `induction e generalizing z₁ ... zₙ`, where `z₁ ... zₙ` are variables in the local context,\n generalizes over `z₁ ... zₙ` before applying the induction but then introduces them in each goal.\n In other words, the net effect is that each inductive hypothesis is generalized.\n- Given `x : Nat`, `induction x with | zero => tac₁ | succ x' ih => tac₂`\n uses tactic `tac₁` for the `zero` case, and `tac₂` for the `succ` case.\n"},"Lean.Parser.Tactic.generalizeArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L564-L565","name":"Lean.Parser.Tactic.generalizeArg","line":564,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalizeArg","doc":"A `generalize` argument, of the form `term = x` or `h : term = x`. "},"Lean.Parser.Tactic.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L567-L574","name":"Lean.Parser.Tactic.generalize","line":567,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalize","doc":"* `generalize ([h :] e = x),+` replaces all occurrences `e`s in the main goal\n with a fresh hypothesis `x`s. If `h` is given, `h : e = x` is introduced as well.\n* `generalize e = x at h₁ ... hₙ` also generalizes occurrences of `e`\n inside `h₁`, ..., `hₙ`.\n* `generalize e = x at *` will generalize occurrences of `e` everywhere.\n"},"Lean.Parser.Tactic.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L176-L180","name":"Lean.Parser.Tactic.focus","line":176,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L222-L223","name":"Lean.Parser.Tactic.first","line":222,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.first","doc":"`first | tac | ...` runs each `tac` until one succeeds, or else fails. "},"Lean.Parser.Tactic.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L194-L195","name":"Lean.Parser.Tactic.failIfSuccess","line":194,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L692-L693","name":"Lean.Parser.Tactic.fail","line":692,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.fail","doc":"`fail msg` is a tactic that always fails, and produces an error using the given message. "},"Lean.Parser.Tactic.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L119-L122","name":"Lean.Parser.Tactic.exact","line":119,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.exact","doc":"`exact e` closes the main goal if its target type matches that of `e`.\n"},"Lean.Parser.Tactic.dsimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1302-L1302","name":"Lean.Parser.Tactic.dsimpKind","line":1302,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpKind","doc":""},"Lean.Parser.Tactic.dsimpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1349-L1352","name":"Lean.Parser.Tactic.dsimpAutoUnfold","line":1349,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpAutoUnfold","doc":"`dsimp!` is shorthand for `dsimp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L438-L444","name":"Lean.Parser.Tactic.dsimp","line":438,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dsimp","doc":"The `dsimp` tactic is the definitional simplifier. It is similar to `simp` but only\napplies theorems that hold by reflexivity. Thus, the result is guaranteed to be\ndefinitionally equal to the input.\n"},"Lean.Parser.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L185-L186","name":"Lean.Parser.Tactic.done","line":185,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.done","doc":"`done` succeeds iff there are no remaining goals. "},"Lean.Parser.Tactic.discharger":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L387-L391","name":"Lean.Parser.Tactic.discharger","line":387,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.discharger","doc":"The discharger clause of `simp` and related tactics.\nThis is a tactic used to discharge the side conditions on conditional rewrite rules.\n"},"Lean.Parser.Tactic.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L446-L451","name":"Lean.Parser.Tactic.delta","line":446,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.delta","doc":"`delta id1 id2 ...` delta-expands the definitions `id1`, `id2`, ....\nThis is a low-level tactic, it will expose how recursive definitions have been\ncompiled by Lean.\n"},"Lean.Parser.Tactic.declareSimpLikeTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1304-L1322","name":"Lean.Parser.Tactic.declareSimpLikeTactic","line":1304,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.declareSimpLikeTactic","doc":""},"Lean.Parser.Tactic.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L76-L77","name":"Lean.Parser.Tactic.decide","line":76,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.decide","doc":"`decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Because this uses kernel\ncomputation to evaluate the term, it may not work in the presence of definitions\nby well founded recursion, since this requires reducing proofs.\n```\nexample : 2 + 2 ≠ 5 := by decide\n```\n"},"Lean.Parser.Tactic.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L642-L651","name":"Lean.Parser.Tactic.dbgTrace","line":642,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dbgTrace","doc":"`dbg_trace \"foo\"` prints `foo` when elaborated.\nUseful for debugging tactic control flow:\n```\nexample : False ∨ True := by\n first\n | apply Or.inl; trivial; dbg_trace \"left\"\n | apply Or.inr; trivial; dbg_trace \"right\"\n```\n"},"Lean.Parser.Tactic.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L83-L106","name":"Lean.Parser.Tactic.contradiction","line":83,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.contradiction","doc":"`contradiction` closes the main goal if its hypotheses are \"trivially contradictory\".\n- Inductive type/family with no applicable constructors\n```lean\nexample (h : False) : p := by contradiction\n```\n- Injectivity of constructors\n```lean\nexample (h : none = some true) : p := by contradiction --\n```\n- Decidable false proposition\n```lean\nexample (h : 2 + 2 = 3) : p := by contradiction\n```\n- Contradictory hypotheses\n```lean\nexample (h : p) (h' : ¬ p) : q := by contradiction\n```\n- Other simple contradictions such as\n```lean\nexample (x : Nat) (h : x ≠ x) : p := by contradiction\n```\n"},"Lean.Parser.Tactic.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L137-L141","name":"Lean.Parser.Tactic.constructor","line":137,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.constructor","doc":"If the main goal's target type is an inductive type, `constructor` solves it with\nthe first matching constructor, or else fails.\n"},"Lean.Parser.Tactic.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L733-L741","name":"Lean.Parser.Tactic.congr","line":733,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.congr","doc":"Apply congruence (recursively) to goals of the form `⊢ f as = f bs` and `⊢ HEq (f as) (f bs)`.\nThe optional parameter is the depth of the recursive applications.\nThis is useful when `congr` is too aggressive in breaking down the goal.\nFor example, given `⊢ f (g (x + y)) = f (g (y + x))`,\n`congr` produces the goals `⊢ x = y` and `⊢ y = x`,\nwhile `congr 2` produces the intended `⊢ x + y = y + x`.\n"},"Lean.Parser.Tactic.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L297-L298","name":"Lean.Parser.Tactic.config","line":297,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.config","doc":"Optional configuration option for tactics "},"Lean.Parser.Tactic.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L59-L63","name":"Lean.Parser.Tactic.clear","line":59,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.clear","doc":"`clear x...` removes the given hypotheses, or fails if there are remaining\nreferences to a hypothesis.\n"},"Lean.Parser.Tactic.checkpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L695-L706","name":"Lean.Parser.Tactic.checkpoint","line":695,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.checkpoint","doc":"`checkpoint tac` acts the same as `tac`, but it caches the input and output of `tac`,\nand if the file is re-elaborated and the input matches, the tactic is not re-run and\nits effects are reapplied to the state. This is useful for improving responsiveness\nwhen working on a long tactic proof, by wrapping expensive tactics with `checkpoint`.\n\nSee the `save` tactic, which may be more convenient to use.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.changeWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L328-L333","name":"Lean.Parser.Tactic.changeWith","line":328,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.changeWith","doc":"* `change a with b` will change occurrences of `a` to `b` in the goal,\n assuming `a` and `b` are are definitionally equal.\n* `change a with b at h` similarly changes `a` to `b` in the type of hypothesis `h`.\n"},"Lean.Parser.Tactic.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L320-L326","name":"Lean.Parser.Tactic.change","line":320,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.change","doc":"* `change tgt'` will change the goal from `tgt` to `tgt'`,\n assuming these are definitionally equal.\n* `change t' at h` will change hypothesis `h : t` to have type `t'`, assuming\n assuming `t` and `t'` are definitionally equal.\n"},"Lean.Parser.Tactic.casesTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L576-L580","name":"Lean.Parser.Tactic.casesTarget","line":576,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.casesTarget","doc":"A `cases` argument, of the form `e` or `h : e` (where `h` asserts that\n`e = cᵢ a b` for each constructor `cᵢ` of the inductive).\n"},"Lean.Parser.Tactic.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L581-L604","name":"Lean.Parser.Tactic.cases","line":581,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.cases","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`cases x` splits the main goal, producing one goal for each constructor of the\ninductive type, in which the target is replaced by a general instance of that constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the case split affects that hypothesis as well.\n`cases` detects unreachable cases and closes them automatically.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`cases n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypothesis `h : P (Nat.succ a)` and target `Q (Nat.succ a)`.\nHere the name `a` is chosen automatically and is not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `cases e`, where `e` is an expression instead of a variable, generalizes `e` in the goal,\n and then cases on the resulting variable.\n- Given `as : List α`, `cases as with | nil => tac₁ | cons a as' => tac₂`,\n uses tactic `tac₁` for the `nil` case, and `tac₂` for the `cons` case,\n and `a` and `as'` are used as names for the new variables introduced.\n- `cases h : e`, where `e` is a variable or an expression,\n performs cases on `e` as above, but also adds a hypothesis `h : e = ...` to each hypothesis,\n where `...` is the constructor instance for that particular case.\n"},"Lean.Parser.Tactic.caseArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L362-L366","name":"Lean.Parser.Tactic.caseArg","line":362,"kind":"def","docLink":"./Init/Notation.html#Lean.Parser.Tactic.caseArg","doc":"A case tag argument has the form `tag x₁ ... xₙ`; it refers to tag `tag` and renames\nthe last `n` hypotheses to `x₁ ... xₙ`.\n"},"Lean.Parser.Tactic.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L152-L158","name":"Lean.Parser.Tactic.case'","line":152,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L143-L150","name":"Lean.Parser.Tactic.case","line":143,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L77-L81","name":"Lean.Parser.Tactic.assumption","line":77,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.assumption","doc":"`assumption` tries to solve the main goal using a hypothesis of compatible type, or else fails.\nNote also the `‹t›` term notation, which is a shorthand for `show t by assumption`.\n"},"Lean.Parser.Tactic.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L108-L117","name":"Lean.Parser.Tactic.apply","line":108,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.apply","doc":"`apply e` tries to match the current goal against the conclusion of `e`'s type.\nIf it succeeds, then the tactic returns as many subgoals as the number of premises that\nhave not been fixed by type inference or type class resolution.\nNon-dependent premises are added before dependent ones.\n\nThe `apply` tactic uses higher-order pattern matching, type class resolution,\nand first-order unification with dependent types.\n"},"Lean.Parser.Tactic.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L170-L174","name":"Lean.Parser.Tactic.anyGoals","line":170,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L167-L168","name":"Lean.Parser.Tactic.allGoals","line":167,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. "},"Lean.Parser.Tactic.acRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L268-L277","name":"Lean.Parser.Tactic.acRfl","line":268,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.acRfl","doc":"`ac_rfl` proves equalities up to application of an associative and commutative operator.\n```\ninstance : IsAssociative (α := Nat) (.+.) := ⟨Nat.add_assoc⟩\ninstance : IsCommutative (α := Nat) (.+.) := ⟨Nat.add_comm⟩\n\nexample (a b c d : Nat) : a + b + c + d = d + (b + c) + a := by ac_rfl\n```\n"},"Lean.Parser.Tactic.Conv.«conv·._»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L230-L230","name":"Lean.Parser.Tactic.Conv.«conv·._»","line":230,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv·._»","doc":"`· conv` focuses on the main conv goal and tries to solve it using `s`. "},"Lean.Parser.Tactic.Conv.«conv_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L283-L284","name":"Lean.Parser.Tactic.Conv.«conv_<;>_»","line":283,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv_<;>_»","doc":""},"Lean.Parser.Tactic.Conv.«convNext__=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L217-L217","name":"Lean.Parser.Tactic.Conv.«convNext__=>_»","line":217,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convNext__=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.Conv.«convEnter[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L257-L264","name":"Lean.Parser.Tactic.Conv.«convEnter[_]»","line":257,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convEnter[_]»","doc":"`enter [arg, ...]` is a compact way to describe a path to a subterm.\nIt is a shorthand for other conv tactics as follows:\n* `enter [i]` is equivalent to `arg i`.\n* `enter [@i]` is equivalent to `arg @i`.\n* `enter [x]` (where `x` is an identifier) is equivalent to `ext x`.\nFor example, given the target `f (g a (fun x => x b))`, `enter [1, 2, x, 1]`\nwill traverse to the subterm `b`. "},"Lean.Parser.Tactic.Conv.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L62-L63","name":"Lean.Parser.Tactic.Conv.zeta","line":62,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.zeta","doc":"Expands let-declarations and let-variables. "},"Lean.Parser.Tactic.Conv.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L38-L43","name":"Lean.Parser.Tactic.Conv.withAnnotateState","line":38,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.Conv.whnf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L57-L60","name":"Lean.Parser.Tactic.Conv.whnf","line":57,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.whnf","doc":"Reduces the target to Weak Head Normal Form. This reduces definitions\nin \"head position\" until a constructor is exposed. For example, `List.map f [a, b, c]`\nweak head normalizes to `f a :: List.map f [b, c]`. "},"Lean.Parser.Tactic.Conv.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L94-L100","name":"Lean.Parser.Tactic.Conv.unfold","line":94,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.unfold","doc":"* `unfold foo` unfolds all occurrences of `foo` in the target.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\nLike the `unfold` tactic, this uses equational lemmas for the chosen definition\nto rewrite the target. For recursive definitions,\nonly one layer of unfolding is performed. "},"Lean.Parser.Tactic.Conv.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L46-L47","name":"Lean.Parser.Tactic.Conv.skip","line":46,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.Conv.simpMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L145-L152","name":"Lean.Parser.Tactic.Conv.simpMatch","line":145,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simpMatch","doc":"`simp_match` simplifies match expressions. For example,\n```\nmatch [a, b] with\n| [] => 0\n| hd :: tl => hd\n```\nsimplifies to `a`. "},"Lean.Parser.Tactic.Conv.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L123-L126","name":"Lean.Parser.Tactic.Conv.simp","line":123,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simp","doc":"`simp [thm]` performs simplification using `thm` and marked `@[simp]` lemmas.\nSee the `simp` tactic for more information. "},"Lean.Parser.Tactic.Conv.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L53-L55","name":"Lean.Parser.Tactic.Conv.rhs","line":53,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rhs","doc":"Traverses into the right subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the last argument.) "},"Lean.Parser.Tactic.Conv.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L120-L121","name":"Lean.Parser.Tactic.Conv.rewrite","line":120,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rewrite","doc":"`rw [thm]` rewrites the target using `thm`. See the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L65-L66","name":"Lean.Parser.Tactic.Conv.reduce","line":65,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.reduce","doc":"Puts term in normal form, this tactic is meant for debugging purposes only. "},"Lean.Parser.Tactic.Conv.pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L102-L118","name":"Lean.Parser.Tactic.Conv.pattern","line":102,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.pattern","doc":"* `pattern pat` traverses to the first subterm of the target that matches `pat`.\n* `pattern (occs := *) pat` traverses to every subterm of the target that matches `pat`\n which is not contained in another match of `pat`. It generates one subgoal for each matching\n subterm.\n* `pattern (occs := 1 2 4) pat` matches occurrences `1, 2, 4` of `pat` and produces three subgoals.\n Occurrences are numbered left to right from the outside in.\n\nNote that skipping an occurrence of `pat` will traverse inside that subexpression, which means\nit may find more matches and this can affect the numbering of subsequent pattern matches.\nFor example, if we are searching for `f _` in `f (f a) = f b`:\n* `occs := 1 2` (and `occs := *`) returns `| f (f a)` and `| f b`\n* `occs := 2` returns `| f a`\n* `occs := 2 3` returns `| f a` and `| f b`\n* `occs := 1 3` is an error, because after skipping `f b` there is no third match.\n"},"Lean.Parser.Tactic.Conv.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L168-L170","name":"Lean.Parser.Tactic.Conv.paren","line":168,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.paren","doc":"`(convs)` runs the `convs` in sequence on the current list of targets.\nThis is pure grouping with no added effects. "},"Lean.Parser.Tactic.Conv.occsWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L26-L27","name":"Lean.Parser.Tactic.Conv.occsWildcard","line":26,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsWildcard","doc":"The `*` occurrence list means to apply to all occurrences of the pattern. "},"Lean.Parser.Tactic.Conv.occsIndexed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L29-L33","name":"Lean.Parser.Tactic.Conv.occsIndexed","line":29,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsIndexed","doc":"A list `1 2 4` of occurrences means to apply to the first, second, and fourth\noccurrence of the pattern.\n"},"Lean.Parser.Tactic.Conv.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L35-L36","name":"Lean.Parser.Tactic.Conv.occs","line":35,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occs","doc":"An occurrence specification, either `*` or a list of numbers. The default is `[1]`. "},"Lean.Parser.Tactic.Conv.nestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L155-L156","name":"Lean.Parser.Tactic.Conv.nestedTacticCore","line":155,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTacticCore","doc":"Executes the given tactic block without converting `conv` goal into a regular goal. "},"Lean.Parser.Tactic.Conv.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L158-L159","name":"Lean.Parser.Tactic.Conv.nestedTactic","line":158,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTactic","doc":"Focuses, converts the `conv` goal `⊢ lhs` into a regular goal `⊢ lhs = rhs`, and then executes the given tactic block. "},"Lean.Parser.Tactic.Conv.nestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L164-L166","name":"Lean.Parser.Tactic.Conv.nestedConv","line":164,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedConv","doc":"`{ convs }` runs the list of `convs` on the current target, and any subgoals that\nremain are trivially closed by `skip`. "},"Lean.Parser.Tactic.Conv.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L49-L51","name":"Lean.Parser.Tactic.Conv.lhs","line":49,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.lhs","doc":"Traverses into the left subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the second to last argument.) "},"Lean.Parser.Tactic.Conv.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L223-L223","name":"Lean.Parser.Tactic.Conv.focus","line":223,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.Conv.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L277-L278","name":"Lean.Parser.Tactic.Conv.first","line":277,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.first","doc":"`first | conv | ...` runs each `conv` until one succeeds, or else fails. "},"Lean.Parser.Tactic.Conv.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L234-L235","name":"Lean.Parser.Tactic.Conv.failIfSuccess","line":234,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.Conv.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L80-L82","name":"Lean.Parser.Tactic.Conv.ext","line":80,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.ext","doc":"`ext x` traverses into a binder (a `fun x => e` or `∀ x, e` expression)\nto target `e`, introducing name `x` in the process. "},"Lean.Parser.Tactic.Conv.enterArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L255-L255","name":"Lean.Parser.Tactic.Conv.enterArg","line":255,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.enterArg","doc":""},"Lean.Parser.Tactic.Conv.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L128-L143","name":"Lean.Parser.Tactic.Conv.dsimp","line":128,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.dsimp","doc":"`dsimp` is the definitional simplifier in `conv`-mode. It differs from `simp` in that it only\napplies theorems that hold by reflexivity.\n\nExamples:\n\n```lean\nexample (a : Nat): (0 + 0) = a - a := by\n conv =>\n lhs\n dsimp\n rw [← Nat.sub_self a]\n```\n"},"Lean.Parser.Tactic.Conv.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L88-L92","name":"Lean.Parser.Tactic.Conv.delta","line":88,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.delta","doc":"`delta id1 id2 ...` unfolds all occurrences of `id1`, `id2`, ... in the target.\nLike the `delta` tactic, this ignores any definitional equations and uses\nprimitive delta-reduction instead, which may result in leaking implementation details.\nUsers should prefer `unfold` for unfolding definitions. "},"Lean.Parser.Tactic.Conv.convTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L281-L281","name":"Lean.Parser.Tactic.Conv.convTry_","line":281,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.Conv.convTrace_state":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L180-L180","name":"Lean.Parser.Tactic.Conv.convTrace_state","line":180,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTrace_state","doc":"`trace_state` prints the current goal state. "},"Lean.Parser.Tactic.Conv.convTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L161-L162","name":"Lean.Parser.Tactic.Conv.convTactic","line":161,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTactic","doc":"Executes the given conv block without converting regular goal into a `conv` goal. "},"Lean.Parser.Tactic.Conv.convSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L21-L21","name":"Lean.Parser.Tactic.Conv.convSeqBracketed","line":21,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeqBracketed","doc":""},"Lean.Parser.Tactic.Conv.convSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L20-L20","name":"Lean.Parser.Tactic.Conv.convSeq1Indented","line":20,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq1Indented","doc":""},"Lean.Parser.Tactic.Conv.convSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L24-L24","name":"Lean.Parser.Tactic.Conv.convSeq","line":24,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq","doc":""},"Lean.Parser.Tactic.Conv.convRw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L239-L239","name":"Lean.Parser.Tactic.Conv.convRw__","line":239,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRw__","doc":"`rw [rules]` applies the given list of rewrite rules to the target.\nSee the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.convRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L251-L251","name":"Lean.Parser.Tactic.Conv.convRight","line":251,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRight","doc":"`right` traverses into the right argument. Synonym for `rhs`. "},"Lean.Parser.Tactic.Conv.convRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L174-L174","name":"Lean.Parser.Tactic.Conv.convRfl","line":174,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRfl","doc":"`rfl` closes one conv goal \"trivially\", by using reflexivity\n(that is, no rewriting). "},"Lean.Parser.Tactic.Conv.convRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L286-L287","name":"Lean.Parser.Tactic.Conv.convRepeat_","line":286,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRepeat_","doc":"`repeat convs` runs the sequence `convs` repeatedly until it fails to apply. "},"Lean.Parser.Tactic.Conv.convLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L249-L249","name":"Lean.Parser.Tactic.Conv.convLeft","line":249,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convLeft","doc":"`left` traverses into the left argument. Synonym for `lhs`. "},"Lean.Parser.Tactic.Conv.convIntro___":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L253-L253","name":"Lean.Parser.Tactic.Conv.convIntro___","line":253,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convIntro___","doc":"`intro` traverses into binders. Synonym for `ext`. "},"Lean.Parser.Tactic.Conv.convErw_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L244-L244","name":"Lean.Parser.Tactic.Conv.convErw_","line":244,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convErw_","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.Conv.convDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L177-L177","name":"Lean.Parser.Tactic.Conv.convDone","line":177,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convDone","doc":"`done` succeeds iff there are no goals remaining. "},"Lean.Parser.Tactic.Conv.convConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L225-L227","name":"Lean.Parser.Tactic.Conv.convConvSeq","line":225,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convConvSeq","doc":"`conv => cs` runs `cs` in sequence on the target `t`,\nresulting in `t'`, which becomes the new target subgoal. "},"Lean.Parser.Tactic.Conv.convArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L247-L247","name":"Lean.Parser.Tactic.Conv.convArgs","line":247,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convArgs","doc":"`args` traverses into all arguments. Synonym for `congr`. "},"Lean.Parser.Tactic.Conv.convApply_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L275-L275","name":"Lean.Parser.Tactic.Conv.convApply_","line":275,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convApply_","doc":"The `apply thm` conv tactic is the same as `apply thm` the tactic.\nThere are no restrictions on `thm`, but strange results may occur if `thm`\ncannot be reasonably interpreted as proving one equality from a list of others. "},"Lean.Parser.Tactic.Conv.conv.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L13-L18","name":"Lean.Parser.Tactic.Conv.conv.quot","line":13,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv.quot","doc":""},"Lean.Parser.Tactic.Conv.conv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L291-L304","name":"Lean.Parser.Tactic.Conv.conv","line":291,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv","doc":"`conv => ...` allows the user to perform targeted rewriting on a goal or hypothesis,\nby focusing on particular subexpressions.\n\nSee for more details.\n\nBasic forms:\n* `conv => cs` will rewrite the goal with conv tactics `cs`.\n* `conv at h => cs` will rewrite hypothesis `h`.\n* `conv in pat => cs` will rewrite the first subexpression matching `pat` (see `pattern`).\n"},"Lean.Parser.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L68-L71","name":"Lean.Parser.Tactic.Conv.congr","line":68,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.congr","doc":"Performs one step of \"congruence\", which takes a term and produces\nsubgoals for all the function arguments. For example, if the target is `f x y` then\n`congr` produces two subgoals, one for `x` and one for `y`. "},"Lean.Parser.Tactic.Conv.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L84-L86","name":"Lean.Parser.Tactic.Conv.change","line":84,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.change","doc":"`change t'` replaces the target `t` with `t'`,\nassuming `t` and `t'` are definitionally equal. "},"Lean.Parser.Tactic.Conv.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L209-L210","name":"Lean.Parser.Tactic.Conv.case'","line":209,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.Conv.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L200-L201","name":"Lean.Parser.Tactic.Conv.case","line":200,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.Conv.arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L73-L78","name":"Lean.Parser.Tactic.Conv.arg","line":73,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.arg","doc":"* `arg i` traverses into the `i`'th argument of the target. For example if the\n target is `f a b c d` then `arg 1` traverses to `a` and `arg 3` traverses to `c`.\n* `arg @i` is the same as `arg i` but it counts all arguments instead of just the\n explicit arguments. "},"Lean.Parser.Tactic.Conv.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L190-L191","name":"Lean.Parser.Tactic.Conv.anyGoals","line":190,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.Conv.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L183-L184","name":"Lean.Parser.Tactic.Conv.allGoals","line":183,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. 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over/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L75-L78","name":"Lean.Parser.Error","line":75,"kind":"structure","docLink":"./Lean/Parser/Types.html#Lean.Parser.Error","doc":""},"Lean.Parser.Command.whereStructInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L92-L94","name":"Lean.Parser.Command.whereStructInst","line":92,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.whereStructInst","doc":""},"Lean.Parser.Command.whereStructField":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L90-L91","name":"Lean.Parser.Command.whereStructField","line":90,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.whereStructField","doc":""},"Lean.Parser.Command.visibility":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L68-L68","name":"Lean.Parser.Command.visibility","line":68,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.visibility","doc":""},"Lean.Parser.Command.variable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L201-L202","name":"Lean.Parser.Command.variable","line":201,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.variable","doc":""},"Lean.Parser.Command.unsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L70-L70","name":"Lean.Parser.Command.unsafe","line":70,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.unsafe","doc":""},"Lean.Parser.Command.universe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L203-L204","name":"Lean.Parser.Command.universe","line":203,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.universe","doc":""},"Lean.Parser.Command.theorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L109-L110","name":"Lean.Parser.Command.theorem","line":109,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.theorem","doc":""},"Lean.Parser.Command.terminationSuffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L55-L56","name":"Lean.Parser.Command.terminationSuffix","line":55,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationSuffix","doc":""},"Lean.Parser.Command.terminationHintMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L38-L40","name":"Lean.Parser.Command.terminationHintMany","line":38,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationHintMany","doc":""},"Lean.Parser.Command.terminationHint1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L41-L41","name":"Lean.Parser.Command.terminationHint1","line":41,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationHint1","doc":""},"Lean.Parser.Command.terminationHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L42-L42","name":"Lean.Parser.Command.terminationHint","line":42,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationHint","doc":""},"Lean.Parser.Command.terminationByElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L49-L51","name":"Lean.Parser.Command.terminationByElement","line":49,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationByElement","doc":""},"Lean.Parser.Command.terminationByCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L44-L45","name":"Lean.Parser.Command.terminationByCore","line":44,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationByCore","doc":""},"Lean.Parser.Command.terminationBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L52-L53","name":"Lean.Parser.Command.terminationBy","line":52,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationBy","doc":""},"Lean.Parser.Command.synth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L213-L214","name":"Lean.Parser.Command.synth","line":213,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.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Hence a simp theorem should have the\nproperty that its right-hand side is \"simpler\" than its left-hand side.\nIn particular, `=` and `↔` should not be viewed as symmetric operators in this situation.\nThe following would be a terrible simp theorem (if it were even allowed):\n```lean\n@[simp] lemma mul_right_inv_bad (a : G) : 1 = a * a⁻¹ := ...\n```\nReplacing 1 with a * a⁻¹ is not a sensible default direction to travel.\nEven worse would be a theorem that causes expressions to grow without bound,\ncausing simp to loop forever.\n\nBy default the simplifier applies `simp` theorems to an expression `e`\nafter its sub-expressions have been simplified.\nWe say it performs a bottom-up simplification.\nYou can instruct the simplifier to apply a theorem before its sub-expressions\nhave been simplified by using the modifier `↓`. Here is an example\n```lean\n@[simp↓] theorem not_and_eq (p q : Prop) : (¬ (p ∧ q)) = (¬p ∨ ¬q) :=\n```\n\nWhen multiple simp theorems are applicable, the simplifier uses the one with highest priority.\nIf there are several with the same priority, it is uses the \"most recent one\". Example:\n```lean\n@[simp high] theorem cond_true (a b : α) : cond true a b = a := rfl\n@[simp low+1] theorem or_true (p : Prop) : (p ∨ True) = True :=\n propext <| Iff.intro (fun _ => trivial) (fun _ => Or.inr trivial)\n@[simp 100] theorem ite_self {d : Decidable c} (a : α) : ite c a a = a := by\n cases d <;> 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The name `Lean.Meta.run` is represented at\n```lean\n.str (.str (.str .anonymous \"Lean\") \"Meta\") \"run\"\n```\n"},"Lean.Name.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L94-L97","name":"Lean.Name.sizeOf","line":94,"kind":"def","docLink":"./Init/SizeOf.html#Lean.Name.sizeOf","doc":"We manually define the `Lean.Name` instance because we use\nan opaque function for computing the hashcode field.\n"},"Lean.Name.simpMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4172-L4175","name":"Lean.Name.simpMacroScopes","line":4172,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.simpMacroScopes","doc":"Helper function we use to create binder names that do not need to be unique. "},"Lean.Name.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L148-L156","name":"Lean.Name.reprPrec","line":148,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.reprPrec","doc":""},"Lean.Name.replacePrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L165-L169","name":"Lean.Name.replacePrefix","line":165,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.replacePrefix","doc":""},"Lean.Name.quickLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L96-L97","name":"Lean.Name.quickLt","line":96,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickLt","doc":""},"Lean.Name.quickCmpAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L76-L89","name":"Lean.Name.quickCmpAux","line":76,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmpAux","doc":""},"Lean.Name.quickCmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L91-L94","name":"Lean.Name.quickCmp","line":91,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmp","doc":""},"Lean.Name.num.sizeOf_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L106-L107","name":"Lean.Name.num.sizeOf_spec","line":106,"kind":"theorem","docLink":"./Init/SizeOf.html#Lean.Name.num.sizeOf_spec","doc":""},"Lean.Name.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3416-L3423","name":"Lean.Name.num","line":3416,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Name.num","doc":"A numerical name. This kind of name is used, for example, to create hierarchical names for\nfree variables and metavariables. The identifier `_uniq.231` is represented as\n```lean\n.num (.str .anonymous \"_uniq\") 231\n```\n"},"Lean.Name.modifyBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L181-L186","name":"Lean.Name.modifyBase","line":181,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.modifyBase","doc":"Remove macros scopes, apply `f`, and put them back "},"Lean.Name.mkStr8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3489-L3490","name":"Lean.Name.mkStr8","line":3489,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr8","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇.s₈` "},"Lean.Name.mkStr7":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3485-L3486","name":"Lean.Name.mkStr7","line":3485,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr7","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇` "},"Lean.Name.mkStr6":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3481-L3482","name":"Lean.Name.mkStr6","line":3481,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr6","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆` "},"Lean.Name.mkStr5":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3477-L3478","name":"Lean.Name.mkStr5","line":3477,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr5","doc":"Make name `s₁.s₂.s₃.s₄.s₅` "},"Lean.Name.mkStr4":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3473-L3474","name":"Lean.Name.mkStr4","line":3473,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr4","doc":"Make name `s₁.s₂.s₃.s₄` "},"Lean.Name.mkStr3":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3469-L3470","name":"Lean.Name.mkStr3","line":3469,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr3","doc":"Make name `s₁.s₂.s₃` "},"Lean.Name.mkStr2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3465-L3466","name":"Lean.Name.mkStr2","line":3465,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr2","doc":"Make name `s₁.s₂` "},"Lean.Name.mkStr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3461-L3462","name":"Lean.Name.mkStr1","line":3461,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr1","doc":"Make name `s₁` "},"Lean.Name.mkStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3444-L3445","name":"Lean.Name.mkStr","line":3444,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr","doc":"`.str p s` is now the preferred form.\n"},"Lean.Name.mkSimple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3457-L3458","name":"Lean.Name.mkSimple","line":3457,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkSimple","doc":"Short for `.str .anonymous s`.\n"},"Lean.Name.mkNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3451-L3452","name":"Lean.Name.mkNum","line":3451,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkNum","doc":"`.num p v` is now the preferred form.\n"},"Lean.Name.mangle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/NameMangling.lean#L59-L60","name":"Lean.Name.mangle","line":59,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.Name.mangle","doc":""},"Lean.Name.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L73-L74","name":"Lean.Name.lt","line":73,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.lt","doc":""},"Lean.Name.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L52-L56","name":"Lean.Name.isSuffixOf","line":52,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isSuffixOf","doc":""},"Lean.Name.isStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L127-L129","name":"Lean.Name.isStr","line":127,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isStr","doc":""},"Lean.Name.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L46-L49","name":"Lean.Name.isPrefixOf","line":46,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isPrefixOf","doc":""},"Lean.Name.isNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L131-L133","name":"Lean.Name.isNum","line":131,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isNum","doc":""},"Lean.Name.isInternal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L101-L104","name":"Lean.Name.isInternal","line":101,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isInternal","doc":"The frontend does not allow user declarations to start with `_` in any of its parts.\nWe use name parts starting with `_` internally to create auxiliary names (e.g., `_private`). "},"Lean.Name.isInaccessibleUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L108-L111","name":"Lean.Name.isInaccessibleUserName","line":108,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.isInaccessibleUserName","doc":""},"Lean.Name.isImplementationDetail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L111-L115","name":"Lean.Name.isImplementationDetail","line":111,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isImplementationDetail","doc":"Checks whether the name is an implementation-detail hypothesis name.\n\nImplementation-detail hypothesis names start with a double underscore.\n"},"Lean.Name.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L117-L121","name":"Lean.Name.isAtomic","line":117,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAtomic","doc":""},"Lean.Name.isAnonymous":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L123-L125","name":"Lean.Name.isAnonymous","line":123,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAnonymous","doc":""},"Lean.Name.instToStringName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L140-L141","name":"Lean.Name.instToStringName","line":140,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instToStringName","doc":""},"Lean.Name.instReprName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L158-L159","name":"Lean.Name.instReprName","line":158,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instReprName","doc":""},"Lean.Name.instLawfulBEqNameInstBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L211-L213","name":"Lean.Name.instLawfulBEqNameInstBEqName","line":211,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instLawfulBEqNameInstBEqName","doc":""},"Lean.Name.instDecidableEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L215-L216","name":"Lean.Name.instDecidableEqName","line":215,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instDecidableEqName","doc":""},"Lean.Name.instBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3500-L3501","name":"Lean.Name.instBEqName","line":3500,"kind":"instance","docLink":"./Init/Prelude.html#Lean.Name.instBEqName","doc":""},"Lean.Name.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L12-L13","name":"Lean.Name.hashEx","line":12,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.hashEx","doc":""},"Lean.Name.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3390-L3430","name":"Lean.Name.hash","line":3390,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hash","doc":"A hash function for names, which is stored inside the name itself as a\ncomputed field. "},"Lean.Name.hasMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4147-L4150","name":"Lean.Name.hasMacroScopes","line":4147,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hasMacroScopes","doc":"Does this name have hygienic macro scopes? "},"Lean.Name.getString!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L20-L22","name":"Lean.Name.getString!","line":20,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getString!","doc":""},"Lean.Name.getRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L100-L105","name":"Lean.Name.getRoot","line":100,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.getRoot","doc":""},"Lean.Name.getPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L15-L18","name":"Lean.Name.getPrefix","line":15,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getPrefix","doc":""},"Lean.Name.getNumParts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L24-L27","name":"Lean.Name.getNumParts","line":24,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getNumParts","doc":""},"Lean.Name.escapePart":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L113-L116","name":"Lean.Name.escapePart","line":113,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.escapePart","doc":""},"Lean.Name.eraseSuffix?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L174-L178","name":"Lean.Name.eraseSuffix?","line":174,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.eraseSuffix?","doc":"`eraseSuffix? n s` return `n'` if `n` is of the form `n == n' ++ s`.\n"},"Lean.Name.eraseMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4161-L4164","name":"Lean.Name.eraseMacroScopes","line":4161,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.eraseMacroScopes","doc":"Remove the macro scopes from the name. "},"Lean.Name.eqStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L42-L44","name":"Lean.Name.eqStr","line":42,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.eqStr","doc":""},"Lean.Name.componentsRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L34-L37","name":"Lean.Name.componentsRev","line":34,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.componentsRev","doc":""},"Lean.Name.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L39-L40","name":"Lean.Name.components","line":39,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.components","doc":""},"Lean.Name.cmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L58-L71","name":"Lean.Name.cmp","line":58,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.cmp","doc":""},"Lean.Name.capitalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L161-L163","name":"Lean.Name.capitalize","line":161,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.capitalize","doc":""},"Lean.Name.beq_iff_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L207-L209","name":"Lean.Name.beq_iff_eq","line":207,"kind":"theorem","docLink":"./Init/Meta.html#Lean.Name.beq_iff_eq","doc":""},"Lean.Name.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3494-L3498","name":"Lean.Name.beq","line":3494,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.beq","doc":"(Boolean) equality comparator for names. "},"Lean.Name.appendIndexAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L195-L198","name":"Lean.Name.appendIndexAfter","line":195,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendIndexAfter","doc":""},"Lean.Name.appendCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3507-L3510","name":"Lean.Name.appendCore","line":3507,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.appendCore","doc":"This function does not have special support for macro scopes.\nSee `Name.append`.\n"},"Lean.Name.appendBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L201-L205","name":"Lean.Name.appendBefore","line":201,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendBefore","doc":""},"Lean.Name.appendAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L189-L192","name":"Lean.Name.appendAfter","line":189,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendAfter","doc":""},"Lean.Name.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4263-L4273","name":"Lean.Name.append","line":4263,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.append","doc":"Append two names that may have macro scopes. 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"},"Lean.Meta.unfoldDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L731-L733","name":"Lean.Meta.unfoldDefinition","line":731,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldDefinition","doc":""},"Lean.Meta.unfoldDeclsFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L143-L160","name":"Lean.Meta.unfoldDeclsFrom","line":143,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.unfoldDeclsFrom","doc":"Unfold definitions and theorems in `e` that are not in the current environment, but are in `biggerEnv`. "},"Lean.Meta.unfold.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Unfold.lean#L24-L30","name":"Lean.Meta.unfold.pre","line":24,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfold.pre","doc":""},"Lean.Meta.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Unfold.lean#L18-L30","name":"Lean.Meta.unfold","line":18,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfold","doc":""},"Lean.Meta.tryUnificationHints.tryCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/UnificationHint.lean#L110-L138","name":"Lean.Meta.tryUnificationHints.tryCandidate","line":110,"kind":"def","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.tryUnificationHints.tryCandidate","doc":""},"Lean.Meta.tryUnificationHints.isDefEqPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/UnificationHint.lean#L107-L108","name":"Lean.Meta.tryUnificationHints.isDefEqPattern","line":107,"kind":"def","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.tryUnificationHints.isDefEqPattern","doc":""},"Lean.Meta.tryUnificationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/UnificationHint.lean#L94-L138","name":"Lean.Meta.tryUnificationHints","line":94,"kind":"def","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.tryUnificationHints","doc":""},"Lean.Meta.trySynthInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L735-L738","name":"Lean.Meta.trySynthInstance","line":735,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.trySynthInstance","doc":"Return `LOption.some r` if succeeded, `LOption.none` if it failed, and `LOption.undef` if\ninstance cannot be synthesized right now because `type` contains metavariables. "},"Lean.Meta.trySubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Subst.lean#L210-L213","name":"Lean.Meta.trySubst","line":210,"kind":"def","docLink":"./Lean/Meta/Tactic/Subst.html#Lean.Meta.trySubst","doc":""},"Lean.Meta.tryClearMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L59-L60","name":"Lean.Meta.tryClearMany","line":59,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.tryClearMany","doc":""},"Lean.Meta.tryClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L49-L50","name":"Lean.Meta.tryClear","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.tryClear","doc":""},"Lean.Meta.traverseLetWithPos.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L47-L57","name":"Lean.Meta.traverseLetWithPos.visit","line":47,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLetWithPos.visit","doc":""},"Lean.Meta.traverseLetWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L45-L57","name":"Lean.Meta.traverseLetWithPos","line":45,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLetWithPos","doc":"Similar to `traverseLet` but with an additional pos argument to track position. "},"Lean.Meta.traverseLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L84-L84","name":"Lean.Meta.traverseLet","line":84,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLet","doc":"Similar to `traverseLambda` and `traverseForall` but with let binders. "},"Lean.Meta.traverseLambdaWithPos.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L23-L30","name":"Lean.Meta.traverseLambdaWithPos.visit","line":23,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambdaWithPos.visit","doc":""},"Lean.Meta.traverseLambdaWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L21-L30","name":"Lean.Meta.traverseLambdaWithPos","line":21,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambdaWithPos","doc":"Similar to `traverseLambda` but with an additional pos argument to track position. "},"Lean.Meta.traverseLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L75-L75","name":"Lean.Meta.traverseLambda","line":75,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambda","doc":"Given an expression `fun (x₁ : α₁) ... (xₙ : αₙ) => b`, will run\n`f` on each of the variable types `αᵢ` and `b` with the correct MetaM context,\nreplacing each expression with the output of `f` and creating a new lambda.\n(that is, correctly instantiating bound variables and repackaging them after) "},"Lean.Meta.traverseForallWithPos.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L35-L42","name":"Lean.Meta.traverseForallWithPos.visit","line":35,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseForallWithPos.visit","doc":""},"Lean.Meta.traverseForallWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L33-L42","name":"Lean.Meta.traverseForallWithPos","line":33,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseForallWithPos","doc":"Similar to `traverseForall` but with an additional pos argument to track position. "},"Lean.Meta.traverseForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L81-L81","name":"Lean.Meta.traverseForall","line":81,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseForall","doc":"Given an expression ` (x₁ : α₁) → ... → (xₙ : αₙ) → b`, will run\n`f` on each of the variable types `αᵢ` and `b` with the correct MetaM context,\nreplacing the expression with the output of `f` and creating a new forall expression.\n(that is, correctly instantiating bound variables and repackaging them after) "},"Lean.Meta.traverseChildrenWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L61-L69","name":"Lean.Meta.traverseChildrenWithPos","line":61,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseChildrenWithPos","doc":"Similar to `Lean.Meta.traverseChildren` except that `visit` also includes a `Pos` argument so you can\ntrack the subexpression position. "},"Lean.Meta.traverseChildren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L94-L94","name":"Lean.Meta.traverseChildren","line":94,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseChildren","doc":"Maps `visit` on each child of the given expression.\n\nApplications, foralls, lambdas and let binders are bundled (as they are bundled in `Expr.traverseApp`, `traverseForall`, ...).\nSo `traverseChildren f e` where ``e = `(fn a₁ ... aₙ)`` will return\n``(← f `(fn)) (← f `(a₁)) ... (← f `(aₙ))`` rather than ``(← f `(fn a₁ ... aₙ₋₁)) (← f `(aₙ))``\n\nSee also `Lean.Core.traverseChildren`.\n "},"Lean.Meta.transform.visit.visitPost":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L87-L91","name":"Lean.Meta.transform.visit.visitPost","line":87,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitPost","doc":""},"Lean.Meta.transform.visit.visitLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L104-L109","name":"Lean.Meta.transform.visit.visitLet","line":104,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitLet","doc":""},"Lean.Meta.transform.visit.visitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L92-L97","name":"Lean.Meta.transform.visit.visitLambda","line":92,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitLambda","doc":""},"Lean.Meta.transform.visit.visitForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L98-L103","name":"Lean.Meta.transform.visit.visitForall","line":98,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitForall","doc":""},"Lean.Meta.transform.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L85-L125","name":"Lean.Meta.transform.visit","line":85,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit","doc":""},"Lean.Meta.transform":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L77-L126","name":"Lean.Meta.transform","line":77,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform","doc":"Similar to `Core.transform`, but terms provided to `pre` and `post` do not contain loose bound variables.\nSo, it is safe to use any `MetaM` method at `pre` and `post`. 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free variables using an order `x < y` iff `x` was defined before `y`.\nIf a free variable is not in the local context, we use their id. 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This method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. "},"Lean.Meta.simpTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L891-L895","name":"Lean.Meta.simpTarget","line":891,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpTarget","doc":"Simplify the given goal target (aka type). Return `none` if the goal was closed. Return `some mvarId'` otherwise,\nwhere `mvarId'` is the simplified new goal. "},"Lean.Meta.simpStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L926-L929","name":"Lean.Meta.simpStep","line":926,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpStep","doc":"Simplify `prop` (which is inhabited by `proof`). Return `none` if the goal was closed. 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"},"Lean.Meta.pp.showLetValues":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L28-L32","name":"Lean.Meta.pp.showLetValues","line":28,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.showLetValues","doc":""},"Lean.Meta.pp.inaccessibleNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L22-L26","name":"Lean.Meta.pp.inaccessibleNames","line":22,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.inaccessibleNames","doc":""},"Lean.Meta.pp.implementationDetailHyps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L16-L20","name":"Lean.Meta.pp.implementationDetailHyps","line":16,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.implementationDetailHyps","doc":""},"Lean.Meta.pp.auxDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L10-L14","name":"Lean.Meta.pp.auxDecls","line":10,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.auxDecls","doc":""},"Lean.Meta.postprocessAppMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L87-L91","name":"Lean.Meta.postprocessAppMVars","line":87,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.postprocessAppMVars","doc":"If `synthAssignedInstances` is `true`, then `apply` will synthesize instance implicit arguments\neven if they have assigned by `isDefEq`, and then check whether the synthesized value matches the\none inferred. 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"},"Lean.Meta.modifyInferTypeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L365-L366","name":"Lean.Meta.modifyInferTypeCache","line":365,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.modifyInferTypeCache","doc":""},"Lean.Meta.modifyDefEqCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L368-L369","name":"Lean.Meta.modifyDefEqCache","line":368,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.modifyDefEqCache","doc":""},"Lean.Meta.modifyCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L362-L363","name":"Lean.Meta.modifyCache","line":362,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.modifyCache","doc":""},"Lean.Meta.mkSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L479-L480","name":"Lean.Meta.mkSyntheticSorry","line":479,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkSyntheticSorry","doc":"Return `sorryAx type` "},"Lean.Meta.mkSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L569-L569","name":"Lean.Meta.mkSub","line":569,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkSub","doc":"Return `a - b` using a heterogeneous `-`. 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"},"Lean.Meta.mkSimpExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L374-L383","name":"Lean.Meta.mkSimpExt","line":374,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.mkSimpExt","doc":""},"Lean.Meta.mkSimpCongrTheorem.onlyMVarsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L104-L105","name":"Lean.Meta.mkSimpCongrTheorem.onlyMVarsAt","line":104,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.mkSimpCongrTheorem.onlyMVarsAt","doc":"Return `true` if `t` contains a metavariable that is not in `mvarSet` "},"Lean.Meta.mkSimpCongrTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L52-L105","name":"Lean.Meta.mkSimpCongrTheorem","line":52,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.mkSimpCongrTheorem","doc":""},"Lean.Meta.mkSimpAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L342-L372","name":"Lean.Meta.mkSimpAttr","line":342,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.mkSimpAttr","doc":""},"Lean.Meta.mkRecursorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/RecursorInfo.lean#L270-L276","name":"Lean.Meta.mkRecursorInfo","line":270,"kind":"def","docLink":"./Lean/Meta/RecursorInfo.html#Lean.Meta.mkRecursorInfo","doc":""},"Lean.Meta.mkPure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L395-L396","name":"Lean.Meta.mkPure","line":395,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkPure","doc":"Given a `monad` and `e : α`, makes `pure e`."},"Lean.Meta.mkPropExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L487-L488","name":"Lean.Meta.mkPropExt","line":487,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkPropExt","doc":"Return `propext h` "},"Lean.Meta.mkProjection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L401-L426","name":"Lean.Meta.mkProjection","line":401,"kind":"opaque","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkProjection","doc":"`mkProjection s fieldName` return an expression for accessing field `fieldName` of the structure `s`.\nRemark: `fieldName` may be a subfield of `s`. 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The method fails if we don't have an instance `OfNat type n` "},"Lean.Meta.mkNoConfusion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L383-L392","name":"Lean.Meta.mkNoConfusion","line":383,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkNoConfusion","doc":""},"Lean.Meta.mkMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L572-L572","name":"Lean.Meta.mkMul","line":572,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkMul","doc":"Return `a * b` using a heterogeneous `*`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L463-L464","name":"Lean.Meta.mkLt","line":463,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLt","doc":"Return `a < b` "},"Lean.Meta.mkListLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L432-L439","name":"Lean.Meta.mkListLit","line":432,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkListLit","doc":""},"Lean.Meta.mkLevelStuckErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1543-L1544","name":"Lean.Meta.mkLevelStuckErrorMessage","line":1543,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelStuckErrorMessage","doc":""},"Lean.Meta.mkLevelErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1546-L1547","name":"Lean.Meta.mkLevelErrorMessage","line":1546,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelErrorMessage","doc":""},"Lean.Meta.mkLetValCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L495-L496","name":"Lean.Meta.mkLetValCongr","line":495,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetValCongr","doc":"Return `let_val_congr b h` "},"Lean.Meta.mkLetFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L758-L759","name":"Lean.Meta.mkLetFVars","line":758,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLetFVars","doc":""},"Lean.Meta.mkLetCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L491-L492","name":"Lean.Meta.mkLetCongr","line":491,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetCongr","doc":"Return `let_congr h₁ h₂` "},"Lean.Meta.mkLetBodyCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L499-L500","name":"Lean.Meta.mkLetBodyCongr","line":499,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetBodyCongr","doc":"Return `let_body_congr a h` "},"Lean.Meta.mkLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L467-L468","name":"Lean.Meta.mkLe","line":467,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLe","doc":"Return `a <= b` "},"Lean.Meta.mkLambdaFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L755-L756","name":"Lean.Meta.mkLambdaFVars","line":755,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLambdaFVars","doc":"Takes an array `xs` of free variables and metavariables and a\nbody term `e` and creates `fun ..xs => e`, suitably\nabstracting `e` and the types in `xs`. "},"Lean.Meta.mkLT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L590-L590","name":"Lean.Meta.mkLT","line":590,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLT","doc":"Return `a < b`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkLE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L587-L587","name":"Lean.Meta.mkLE","line":587,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLE","doc":"Return `a ≤ b`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkInjectiveTheorems":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L150-L165","name":"Lean.Meta.mkInjectiveTheorems","line":150,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheorems","doc":""},"Lean.Meta.mkInjectiveTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L98-L99","name":"Lean.Meta.mkInjectiveTheoremNameFor","line":98,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheoremNameFor","doc":""},"Lean.Meta.mkInjectiveEqTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L113-L114","name":"Lean.Meta.mkInjectiveEqTheoremNameFor","line":113,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveEqTheoremNameFor","doc":""},"Lean.Meta.mkImpDepCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L530-L531","name":"Lean.Meta.mkImpDepCongrCtx","line":530,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpDepCongrCtx","doc":""},"Lean.Meta.mkImpCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L527-L528","name":"Lean.Meta.mkImpCongrCtx","line":527,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongrCtx","doc":""},"Lean.Meta.mkImpCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L524-L525","name":"Lean.Meta.mkImpCongr","line":524,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongr","doc":""},"Lean.Meta.mkIffOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L593-L597","name":"Lean.Meta.mkIffOfEq","line":593,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkIffOfEq","doc":"Given `h : a = b`, return a proof for `a ↔ b`. "},"Lean.Meta.mkId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L15-L18","name":"Lean.Meta.mkId","line":15,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkId","doc":"Return `id e` "},"Lean.Meta.mkHasTypeButIsExpectedMsg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Check.lean#L117-L126","name":"Lean.Meta.mkHasTypeButIsExpectedMsg","line":117,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.mkHasTypeButIsExpectedMsg","doc":"Return error message \"has type{givenType}\\nbut is expected to have type{expectedType}\"\n"},"Lean.Meta.mkHEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L127-L140","name":"Lean.Meta.mkHEqTrans","line":127,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqTrans","doc":"Given `h₁ : HEq a b`, `h₂ : HEq b c`, returns a proof of `HEq a c`. "},"Lean.Meta.mkHEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L114-L124","name":"Lean.Meta.mkHEqSymm","line":114,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqSymm","doc":"Given `h : HEq a b`, returns a proof of `HEq b a`. "},"Lean.Meta.mkHEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L59-L62","name":"Lean.Meta.mkHEqRefl","line":59,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqRefl","doc":"Return a proof of `HEq a a`. "},"Lean.Meta.mkHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L34-L38","name":"Lean.Meta.mkHEq","line":34,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEq","doc":"Return `HEq a b`. "},"Lean.Meta.mkHCongrWithArity.withNewEqs.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L78-L91","name":"Lean.Meta.mkHCongrWithArity.withNewEqs.loop","line":78,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity.withNewEqs.loop","doc":""},"Lean.Meta.mkHCongrWithArity.withNewEqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L77-L92","name":"Lean.Meta.mkHCongrWithArity.withNewEqs","line":77,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity.withNewEqs","doc":""},"Lean.Meta.mkHCongrWithArity.mkProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L94-L113","name":"Lean.Meta.mkHCongrWithArity.mkProof","line":94,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity.mkProof","doc":""},"Lean.Meta.mkHCongrWithArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L55-L113","name":"Lean.Meta.mkHCongrWithArity","line":55,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity","doc":""},"Lean.Meta.mkHCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L115-L116","name":"Lean.Meta.mkHCongr","line":115,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongr","doc":""},"Lean.Meta.mkGeneralizationForbiddenSet.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeVars.lean#L24-L35","name":"Lean.Meta.mkGeneralizationForbiddenSet.visit","line":24,"kind":"def","docLink":"./Lean/Meta/GeneralizeVars.html#Lean.Meta.mkGeneralizationForbiddenSet.visit","doc":""},"Lean.Meta.mkGeneralizationForbiddenSet.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeVars.lean#L37-L45","name":"Lean.Meta.mkGeneralizationForbiddenSet.loop","line":37,"kind":"opaque","docLink":"./Lean/Meta/GeneralizeVars.html#Lean.Meta.mkGeneralizationForbiddenSet.loop","doc":""},"Lean.Meta.mkGeneralizationForbiddenSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeVars.lean#L14-L45","name":"Lean.Meta.mkGeneralizationForbiddenSet","line":14,"kind":"def","docLink":"./Lean/Meta/GeneralizeVars.html#Lean.Meta.mkGeneralizationForbiddenSet","doc":"Add to `forbidden` all a set of `FVarId`s containing `targets` and all variables they depend on.\n"},"Lean.Meta.mkFunUnit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L762-L763","name":"Lean.Meta.mkFunUnit","line":762,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFunUnit","doc":"`fun _ : Unit => a` "},"Lean.Meta.mkFunExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L483-L484","name":"Lean.Meta.mkFunExt","line":483,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkFunExt","doc":"Return `funext h` "},"Lean.Meta.mkFreshTypeMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L463-L465","name":"Lean.Meta.mkFreshTypeMVar","line":463,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshTypeMVar","doc":""},"Lean.Meta.mkFreshLevelMVarsFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L486-L487","name":"Lean.Meta.mkFreshLevelMVarsFor","line":486,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshLevelMVarsFor","doc":""},"Lean.Meta.mkFreshLevelMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L482-L484","name":"Lean.Meta.mkFreshLevelMVars","line":482,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshLevelMVars","doc":""},"Lean.Meta.mkFreshLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L444-L447","name":"Lean.Meta.mkFreshLevelMVar","line":444,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshLevelMVar","doc":""},"Lean.Meta.mkFreshExprSyntheticOpaqueMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L35-L36","name":"Lean.Meta.mkFreshExprSyntheticOpaqueMVar","line":35,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.mkFreshExprSyntheticOpaqueMVar","doc":""},"Lean.Meta.mkFreshExprMVarWithId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L474-L480","name":"Lean.Meta.mkFreshExprMVarWithId","line":474,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshExprMVarWithId","doc":""},"Lean.Meta.mkFreshExprMVarAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L438-L442","name":"Lean.Meta.mkFreshExprMVarAt","line":438,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshExprMVarAt","doc":""},"Lean.Meta.mkFreshExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L460-L461","name":"Lean.Meta.mkFreshExprMVar","line":460,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshExprMVar","doc":""},"Lean.Meta.mkFreshBinderNameForTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L85-L86","name":"Lean.Meta.mkFreshBinderNameForTactic","line":85,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.Meta.mkFreshBinderNameForTactic","doc":"Similar to `mkFreshUserName`, but takes into account `tactic.hygienic` option value.\nIf `tactic.hygienic = true`, then the current macro scopes are applied to `binderName`.\nIf not, then an unused (accessible) name (based on `binderName`) in the local context is used.\n"},"Lean.Meta.mkForallFVars'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L123-L138","name":"Lean.Meta.mkForallFVars'","line":123,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.mkForallFVars'","doc":"Similar to `mkForallFVars`, but tries to infer better binder names when `xs` contains metavariables.\nLet `?m` be a metavariable in `xs` s.t. `?m` does not have a user facing name.\nThen, we try to find an application `f ... ?m` in the other binder typer and `type`, and\n(temporarily) use the corresponding parameter name (with a fresh macro scope) as the user facing name for `?m`.\nThe \"renaming\" is temporary.\n"},"Lean.Meta.mkForallFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L749-L750","name":"Lean.Meta.mkForallFVars","line":749,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkForallFVars","doc":"Takes an array `xs` of free variables or metavariables and a term `e` that may contain those variables, and abstracts and binds them as universal quantifiers.\n\n- if `usedOnly = true` then only variables that the expression body depends on will appear.\n- if `usedLetOnly = true` same as `usedOnly` except for let-bound variables. (That is, local constants which have been assigned a value.)\n "},"Lean.Meta.mkForallCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L533-L534","name":"Lean.Meta.mkForallCongr","line":533,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkForallCongr","doc":""},"Lean.Meta.mkFalseElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L71-L73","name":"Lean.Meta.mkFalseElim","line":71,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkFalseElim","doc":"Given `h : False`, return an instance of type `e`. "},"Lean.Meta.mkExpectedTypeHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L23-L25","name":"Lean.Meta.mkExpectedTypeHint","line":23,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkExpectedTypeHint","doc":"Given `e` s.t. `inferType e` is definitionally equal to `expectedType`, return\nterm `@id expectedType e`. "},"Lean.Meta.mkEqTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L507-L508","name":"Lean.Meta.mkEqTrue","line":507,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrue","doc":"Return `eq_true h` "},"Lean.Meta.mkEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L98-L111","name":"Lean.Meta.mkEqTrans","line":98,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrans","doc":"Given `h₁ : a = b` and `h₂ : b = c` returns a proof of `a = c`. "},"Lean.Meta.mkEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L86-L95","name":"Lean.Meta.mkEqSymm","line":86,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqSymm","doc":"Given `h : a = b`, returns a proof of `b = a`. "},"Lean.Meta.mkEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L53-L56","name":"Lean.Meta.mkEqRefl","line":53,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRefl","doc":"Return a proof of `a = a`. "},"Lean.Meta.mkEqRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L361-L375","name":"Lean.Meta.mkEqRec","line":361,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRec","doc":""},"Lean.Meta.mkEqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L143-L152","name":"Lean.Meta.mkEqOfHEq","line":143,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqOfHEq","doc":"Given `h : Eq a b`, returns a proof of `HEq a b`. "},"Lean.Meta.mkEqNDRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L346-L359","name":"Lean.Meta.mkEqNDRec","line":346,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqNDRec","doc":""},"Lean.Meta.mkEqMPR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L380-L381","name":"Lean.Meta.mkEqMPR","line":380,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMPR","doc":""},"Lean.Meta.mkEqMP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L377-L378","name":"Lean.Meta.mkEqMP","line":377,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMP","doc":""},"Lean.Meta.mkEqHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L43-L50","name":"Lean.Meta.mkEqHEq","line":43,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqHEq","doc":"If `a` and `b` have definitionally equal types, return `Eq a b`, otherwise return `HEq a b`.\n"},"Lean.Meta.mkEqFalse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L521-L522","name":"Lean.Meta.mkEqFalse'","line":521,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse'","doc":"Return `eq_false' h`\n`h` must have type definitionally equal to `p → False` in the current\nreducibility setting. "},"Lean.Meta.mkEqFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L514-L515","name":"Lean.Meta.mkEqFalse","line":514,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse","doc":"Return `eq_false h`\n`h` must have type definitionally equal to `¬ p` in the current\nreducibility setting. "},"Lean.Meta.mkEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L28-L31","name":"Lean.Meta.mkEq","line":28,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEq","doc":"Return `a = b`. "},"Lean.Meta.mkDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L471-L472","name":"Lean.Meta.mkDefault","line":471,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDefault","doc":"Return `Inhabited.default α` "},"Lean.Meta.mkDecideProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L455-L460","name":"Lean.Meta.mkDecideProof","line":455,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecideProof","doc":"Return a proof for `p : Prop` using `decide p` "},"Lean.Meta.mkDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L451-L452","name":"Lean.Meta.mkDecide","line":451,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecide","doc":"Return `Decidable.decide p` "},"Lean.Meta.mkCustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L115-L137","name":"Lean.Meta.mkCustomEliminator","line":115,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.mkCustomEliminator","doc":""},"Lean.Meta.mkConstWithFreshMVarLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L493-L495","name":"Lean.Meta.mkConstWithFreshMVarLevels","line":493,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkConstWithFreshMVarLevels","doc":"Create a constant with the given name and new universe metavariables.\nExample: ``mkConstWithFreshMVarLevels `Monad`` returns `@Monad.{?u, ?v}`\n"},"Lean.Meta.mkCongrSimpCore?.mkProof.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L292-L315","name":"Lean.Meta.mkCongrSimpCore?.mkProof.go","line":292,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mkProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L291-L316","name":"Lean.Meta.mkCongrSimpCore?.mkProof","line":291,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L259-L286","name":"Lean.Meta.mkCongrSimpCore?.mk?.go","line":259,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L254-L289","name":"Lean.Meta.mkCongrSimpCore?.mk?","line":254,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?","doc":"Create a congruence theorem that is useful for the simplifier.\nIn this kind of theorem, if the i-th argument is a `cast` argument, then the theorem\ncontains an input `a_i` representing the i-th argument in the left-hand-side, and\nit appears with a cast (e.g., `Eq.drec ... a_i ...`) in the right-hand-side.\nThe idea is that the right-hand-side of this theorem \"tells\" the simplifier\nhow the resulting term looks like. "},"Lean.Meta.mkCongrSimpCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L236-L316","name":"Lean.Meta.mkCongrSimpCore?","line":236,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?","doc":"Create a congruence theorem that is useful for the simplifier and `congr` tactic.\n"},"Lean.Meta.mkCongrSimp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L326-L329","name":"Lean.Meta.mkCongrSimp?","line":326,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimp?","doc":"Create a congruence theorem for `f`. The theorem is used in the simplifier.\n\nIf `subsingletonInstImplicitRhs = true`, the the `rhs` corresponding to `[Decidable p]` parameters\nis marked as instance implicit. It forces the simplifier to compute the new instance when applying\nthe congruence theorem.\nFor the `congr` tactic we set it to `false`.\n"},"Lean.Meta.mkCongrFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L170-L185","name":"Lean.Meta.mkCongrFun","line":170,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrFun","doc":"Given `h : f = g` and `a : α`, returns a proof of `f a = g a`."},"Lean.Meta.mkCongrArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L155-L167","name":"Lean.Meta.mkCongrArg","line":155,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrArg","doc":"Given `f : α → β` and `h : a = b`, returns a proof of `f a = f b`."},"Lean.Meta.mkCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L188-L206","name":"Lean.Meta.mkCongr","line":188,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongr","doc":"Given `h₁ : f = g` and `h₂ : a = b`, returns a proof of `f a = g b`. "},"Lean.Meta.mkAuxTheoremFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L399-L402","name":"Lean.Meta.mkAuxTheoremFor","line":399,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheoremFor","doc":"Similar to `mkAuxTheorem`, but infers the type of `value`.\n"},"Lean.Meta.mkAuxTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L372-L394","name":"Lean.Meta.mkAuxTheorem","line":372,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheorem","doc":"Create an auxiliary theorem with the given name, type and value. It is similar to `mkAuxDefinition`.\n"},"Lean.Meta.mkAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L656-L657","name":"Lean.Meta.mkAuxMVar","line":656,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.mkAuxMVar","doc":""},"Lean.Meta.mkAuxLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L26-L39","name":"Lean.Meta.mkAuxLemma","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.mkAuxLemma","doc":"Helper method for creating auxiliary lemmas in the environment.\n\nIt uses a cache that maps `type` to declaration name. The cache is not stored in `.olean` files.\nIt is useful to make sure the same auxiliary lemma is not created over and over again in the same file.\n\nThis method is useful for tactics (e.g., `simp`) that may perform preprocessing steps to lemmas provided by\nusers. For example, `simp` preprocessor may convert a lemma into multiple ones.\n"},"Lean.Meta.mkAuxDefinitionFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L364-L367","name":"Lean.Meta.mkAuxDefinitionFor","line":364,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinitionFor","doc":"Similar to `mkAuxDefinition`, but infers the type of `value`. "},"Lean.Meta.mkAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L347-L361","name":"Lean.Meta.mkAuxDefinition","line":347,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinition","doc":"Create an auxiliary definition with the given name, type and value.\nThe parameters `type` and `value` may contain free and meta variables.\nA \"closure\" is computed, and a term of the form `name.{u_1 ... u_n} t_1 ... t_m` is\nreturned where `u_i`s are universe parameters and metavariables `type` and `value` depend on,\nand `t_j`s are free and meta variables `type` and `value` depend on. "},"Lean.Meta.mkArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L441-L444","name":"Lean.Meta.mkArrayLit","line":441,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkArrayLit","doc":""},"Lean.Meta.mkAppOptM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L341-L344","name":"Lean.Meta.mkAppOptM'","line":341,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM'","doc":"Similar to `mkAppOptM`, but takes an `Expr` instead of a constant name "},"Lean.Meta.mkAppOptM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L335-L338","name":"Lean.Meta.mkAppOptM","line":335,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM","doc":"Similar to `mkAppM`, but it allows us to specify which arguments are provided explicitly using `Option` type.\nExample:\nGiven `Pure.pure {m : Type u → Type v} [Pure m] {α : Type u} (a : α) : m α`,\n```\nmkAppOptM `Pure.pure #[m, none, none, a]\n```\nreturns a `Pure.pure` application if the instance `Pure m` can be synthesized, and the universe match.\nNote that,\n```\nmkAppM `Pure.pure #[a]\n```\nfails because the only explicit argument `(a : α)` is not sufficient for inferring the remaining arguments,\nwe would need the expected type. "},"Lean.Meta.mkAppM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L284-L287","name":"Lean.Meta.mkAppM'","line":284,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM'","doc":"Similar to `mkAppM`, but takes an `Expr` instead of a constant name. "},"Lean.Meta.mkAppM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L278-L281","name":"Lean.Meta.mkAppM","line":278,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM","doc":"Return the application `constName xs`.\nIt tries to fill the implicit arguments before the last element in `xs`.\n\nRemark:\n``mkAppM `arbitrary #[α]`` returns `@arbitrary.{u} α` without synthesizing\nthe implicit argument occurring after `α`.\nGiven a `x : (([Decidable p] → Bool) × Nat`, ``mkAppM `Prod.fst #[x]`` returns `@Prod.fst ([Decidable p] → Bool) Nat x`\n"},"Lean.Meta.mkAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L566-L566","name":"Lean.Meta.mkAdd","line":566,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAdd","doc":"Return `a + b` using a heterogeneous `+`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkAbsurd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L65-L68","name":"Lean.Meta.mkAbsurd","line":65,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAbsurd","doc":"Given `hp : P` and `nhp : Not P` returns an instance of type `e`. "},"Lean.Meta.matchNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L45-L52","name":"Lean.Meta.matchNot?","line":45,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNot?","doc":""},"Lean.Meta.matchNe?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L54-L61","name":"Lean.Meta.matchNe?","line":54,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNe?","doc":""},"Lean.Meta.matchMatcherApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L141-L162","name":"Lean.Meta.matchMatcherApp?","line":141,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.matchMatcherApp?","doc":""},"Lean.Meta.matchHelper?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L17-L20","name":"Lean.Meta.matchHelper?","line":17,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHelper?","doc":""},"Lean.Meta.matchHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L26-L27","name":"Lean.Meta.matchHEq?","line":26,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHEq?","doc":""},"Lean.Meta.matchFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L42-L43","name":"Lean.Meta.matchFalse","line":42,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchFalse","doc":""},"Lean.Meta.matchEqHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L32-L40","name":"Lean.Meta.matchEqHEq?","line":32,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEqHEq?","doc":"Return `some (α, lhs, rhs)` if `e` is of the form `@Eq α lhs rhs` or `@HEq α lhs α rhs`\n"},"Lean.Meta.matchEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L23-L24","name":"Lean.Meta.matchEq?","line":23,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEq?","doc":"Matches `e` with `lhs = (rhs : α)` and returns `(α, lhs, rhs)`. "},"Lean.Meta.matchConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L63-L66","name":"Lean.Meta.matchConstructorApp?","line":63,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchConstructorApp?","doc":""},"Lean.Meta.markSmartUnfoldingMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L48-L49","name":"Lean.Meta.markSmartUnfoldingMatchAlt","line":48,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.markSmartUnfoldingMatchAlt","doc":"Add auxiliary annotation to indicate expression `e` (a `match` alternative rhs) was successfully reduced by smart unfolding. "},"Lean.Meta.markSmartUnfoldingMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L41-L42","name":"Lean.Meta.markSmartUnfoldingMatch","line":41,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.markSmartUnfoldingMatch","doc":"Add auxiliary annotation to indicate the `match`-expression `e` must be reduced when performing smart unfolding. 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"},"Lean.Meta.lambdaLetTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1089-L1090","name":"Lean.Meta.lambdaLetTelescope","line":1089,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.lambdaLetTelescope","doc":"Similar to `lambdaTelescope` but for lambda and let expressions. "},"Lean.Meta.kabstract.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/KAbstract.lean#L24-L46","name":"Lean.Meta.kabstract.visit","line":24,"kind":"def","docLink":"./Lean/Meta/KAbstract.html#Lean.Meta.kabstract.visit","doc":""},"Lean.Meta.kabstract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/KAbstract.lean#L17-L47","name":"Lean.Meta.kabstract","line":17,"kind":"def","docLink":"./Lean/Meta/KAbstract.html#Lean.Meta.kabstract","doc":"Abstract occurrences of `p` in `e`. 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"},"Lean.Meta.isType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L363-L372","name":"Lean.Meta.isType","line":363,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isType","doc":"Return `true` iff the type of `e` is a `Sort _`.\n"},"Lean.Meta.isSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L542-L546","name":"Lean.Meta.isSyntheticMVar","line":542,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isSyntheticMVar","doc":"Reture `true` if `e` is a synthetic (or synthetic opaque) metavariable "},"Lean.Meta.isRflTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L120-L122","name":"Lean.Meta.isRflTheorem","line":120,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.isRflTheorem","doc":""},"Lean.Meta.isRflProofCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L98-L118","name":"Lean.Meta.isRflProofCore","line":98,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.isRflProofCore","doc":""},"Lean.Meta.isRflProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L125-L129","name":"Lean.Meta.isRflProof","line":125,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.isRflProof","doc":""},"Lean.Meta.isReadOnlyOrSyntheticOpaqueExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L590-L591","name":"Lean.Meta.isReadOnlyOrSyntheticOpaqueExprMVar","line":590,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isReadOnlyOrSyntheticOpaqueExprMVar","doc":""},"Lean.Meta.isReadOnlyLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L613-L614","name":"Lean.Meta.isReadOnlyLevelMVar","line":613,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isReadOnlyLevelMVar","doc":""},"Lean.Meta.isReadOnlyExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L575-L576","name":"Lean.Meta.isReadOnlyExprMVar","line":575,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isReadOnlyExprMVar","doc":""},"Lean.Meta.isPropQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L235-L247","name":"Lean.Meta.isPropQuick","line":235,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isPropQuick","doc":"`isPropQuick e` is an \"approximate\" predicate which returns `LBool.true`\nif `e` is a proposition. "},"Lean.Meta.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L255-L264","name":"Lean.Meta.isProp","line":255,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isProp","doc":"`isProp whnf e` return `true` if `e` is a proposition.\n\nIf `e` contains metavariables, it may not be possible\nto decide whether is a proposition or not. We return `false` in this\ncase. We considered using `LBool` and retuning `LBool.undef`, but\nwe have no applications for it. "},"Lean.Meta.isProofQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L295-L307","name":"Lean.Meta.isProofQuick","line":295,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isProofQuick","doc":"`isProofQuick e` is an \"approximate\" predicate which returns `LBool.true`\nif `e` is a proof. "},"Lean.Meta.isProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L311-L315","name":"Lean.Meta.isProof","line":311,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isProof","doc":""},"Lean.Meta.isNatProjInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Offset.lean#L19-L22","name":"Lean.Meta.isNatProjInst","line":19,"kind":"def","docLink":"./Lean/Meta/Offset.html#Lean.Meta.isNatProjInst","doc":""},"Lean.Meta.isMonadApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L92-L94","name":"Lean.Meta.isMonadApp","line":92,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.isMonadApp","doc":"Return `true` if `type` is of the form `m α` where `m` is a `Monad`.\nNote that we reduce `type` using transparency 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"},"Lean.Meta.isMatcherCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L108-L109","name":"Lean.Meta.isMatcherCore","line":108,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherCore","doc":""},"Lean.Meta.isMatcherAppCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L114-L122","name":"Lean.Meta.isMatcherAppCore?","line":114,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherAppCore?","doc":""},"Lean.Meta.isMatcherAppCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L124-L125","name":"Lean.Meta.isMatcherAppCore","line":124,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherAppCore","doc":""},"Lean.Meta.isMatcherApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L127-L128","name":"Lean.Meta.isMatcherApp","line":127,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherApp","doc":""},"Lean.Meta.isMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L111-L112","name":"Lean.Meta.isMatcher","line":111,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcher","doc":""},"Lean.Meta.isMatchValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Value.lean#L44-L45","name":"Lean.Meta.isMatchValue","line":44,"kind":"def","docLink":"./Lean/Meta/Match/Value.html#Lean.Meta.isMatchValue","doc":"Return 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"},"Lean.Meta.isListLevelDefEqAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1507-L1510","name":"Lean.Meta.isListLevelDefEqAux","line":1507,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isListLevelDefEqAux","doc":""},"Lean.Meta.isLevelDefEqAuxImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/LevelDefEq.lean#L87-L117","name":"Lean.Meta.isLevelDefEqAuxImpl","line":87,"kind":"def","docLink":"./Lean/Meta/LevelDefEq.html#Lean.Meta.isLevelDefEqAuxImpl","doc":""},"Lean.Meta.isLevelDefEqAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L422-L422","name":"Lean.Meta.isLevelDefEqAux","line":422,"kind":"opaque","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isLevelDefEqAux","doc":""},"Lean.Meta.isLevelDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1625-L1626","name":"Lean.Meta.isLevelDefEq","line":1625,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isLevelDefEq","doc":"Determines 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"},"Lean.Meta.isEtaUnassignedMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L155-L164","name":"Lean.Meta.isEtaUnassignedMVar","line":155,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.isEtaUnassignedMVar","doc":"Return `true` if `e` is of the form `fun (x_1 ... x_n) => ?m x_1 ... x_n)`, and `?m` is unassigned.\nRemark: `n` may be 0. 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"},"Lean.Meta.getCustomEliminators":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L151-L152","name":"Lean.Meta.getCustomEliminators","line":151,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.getCustomEliminators","doc":""},"Lean.Meta.getCustomEliminator?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L154-L160","name":"Lean.Meta.getCustomEliminator?","line":154,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.getCustomEliminator?","doc":""},"Lean.Meta.getCtorNumPropFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Injection.lean#L15-L21","name":"Lean.Meta.getCtorNumPropFields","line":15,"kind":"def","docLink":"./Lean/Meta/Tactic/Injection.html#Lean.Meta.getCtorNumPropFields","doc":""},"Lean.Meta.getCongrSimpKinds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L196-L231","name":"Lean.Meta.getCongrSimpKinds","line":196,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.getCongrSimpKinds","doc":"Compute `CongrArgKind`s for a simp congruence theorem. "},"Lean.Meta.getConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L374-L375","name":"Lean.Meta.getConfig","line":374,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.getConfig","doc":""},"Lean.Meta.getArrayArgType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/CaseArraySizes.lean#L18-L23","name":"Lean.Meta.getArrayArgType","line":18,"kind":"def","docLink":"./Lean/Meta/Match/CaseArraySizes.html#Lean.Meta.getArrayArgType","doc":""},"Lean.Meta.generalizeTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeTelescope.lean#L87-L92","name":"Lean.Meta.generalizeTelescope","line":87,"kind":"def","docLink":"./Lean/Meta/GeneralizeTelescope.html#Lean.Meta.generalizeTelescope","doc":"Given expressions `es := #[e_1, e_2, ..., e_n]`, execute `k` with the\nfree variables `(x_1 : A_1) (x_2 : A_2 [x_1]) ... (x_n : A_n [x_1, ... x_{n-1}])`.\nMoreover,\n- type of `e_1` is definitionally equal to `A_1`,\n- type of `e_2` is definitionally equal to `A_2[e_1]`.\n- ...\n- type of `e_n` is definitionally equal to `A_n[e_1, ..., e_{n-1}]`.\n\nThis method tries to avoid the creation of new free variables. For example, if `e_i` is a\nfree variable `x_i` and it is not a let-declaration variable, and its type does not depend on\nprevious `e_j`s, the method will just use `x_i`.\n\nThe telescope `x_1 ... x_n` can be used to create lambda and forall abstractions.\nMoreover, for any type correct lambda abstraction `f` constructed using `mkForall #[x_1, ..., x_n] ...`,\nThe application `f e_1 ... e_n` is also type correct.\n\nThe `kabstract` method is used to \"locate\" and abstract forward dependencies.\nThat is, an occurrence of `e_i` in the of `e_j` for `j > i`.\n\nThe method checks whether the abstract types `A_i` are type correct. Here is an example\nwhere `generalizeTelescope` fails to create the telescope `x_1 ... x_n`.\nAssume the local context contains `(n : Nat := 10) (xs : Vec Nat n) (ys : Vec Nat 10) (h : xs = ys)`.\nThen, assume we invoke `generalizeTelescope` with `es := #[10, xs, ys, h]`\nA type error is detected when processing `h`'s type. At this point, the method had successfully produced\n```\n (x_1 : Nat) (xs : Vec Nat n) (x_2 : Vec Nat x_1)\n```\nand the type for the new variable abstracting `h` is `xs = x_2` which is not type correct. "},"Lean.Meta.generalizeTargetsEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L45-L59","name":"Lean.Meta.generalizeTargetsEq","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeTargetsEq","doc":""},"Lean.Meta.generalizeIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L85-L122","name":"Lean.Meta.generalizeIndices","line":85,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeIndices","doc":"Similar to `generalizeTargets` but customized for the `casesOn` motive.\nGiven a metavariable `mvarId` representing the\n```\nCtx, h : I A j, D |- T\n```\nwhere `fvarId` is `h`s id, and the type `I A j` is an inductive datatype where `A` are parameters,\nand `j` the indices. Generate the goal\n```\nCtx, h : I A j, D, j' : J, h' : I A j' |- j == j' -> h == h' -> T\n```\nRemark: `(j == j' -> h == h')` is a \"telescopic\" equality.\nRemark: `j` is sequence of terms, and `j'` a sequence of free variables.\nThe result contains the fields\n- `mvarId`: the new goal\n- `indicesFVarIds`: `j'` ids\n- `fvarId`: `h'` id\n- `numEqs`: number of equations in the target "},"Lean.Meta.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Generalize.lean#L78-L79","name":"Lean.Meta.generalize","line":78,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.Meta.generalize","doc":"Telescopic `generalize` tactic. It can simultaneously generalize many terms.\nIt uses `kabstract` to occurrences of the terms that need to be generalized.\n"},"Lean.Meta.genSizeOfSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SizeOf.lean#L472-L475","name":"Lean.Meta.genSizeOfSpec","line":472,"kind":"opaque","docLink":"./Lean/Meta/SizeOf.html#Lean.Meta.genSizeOfSpec","doc":""},"Lean.Meta.genSizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SizeOf.lean#L467-L470","name":"Lean.Meta.genSizeOf","line":467,"kind":"opaque","docLink":"./Lean/Meta/SizeOf.html#Lean.Meta.genSizeOf","doc":""},"Lean.Meta.genInjectivity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L145-L148","name":"Lean.Meta.genInjectivity","line":145,"kind":"opaque","docLink":"./Lean/Meta/Injective.html#Lean.Meta.genInjectivity","doc":""},"Lean.Meta.fullApproxDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1367-L1368","name":"Lean.Meta.fullApproxDefEq","line":1367,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.fullApproxDefEq","doc":"Similar to `approxDefEq`, but uses all available approximations.\nWe don't use `constApprox` by default at `approxDefEq` because it often produces undesirable solution for monadic code.\nFor example, suppose we have `pure (x > 0)` which has type `?m Prop`. We also have the goal `[Pure ?m]`.\nNow, assume the expected type is `IO Bool`. Then, the unification constraint `?m Prop =?= IO Bool` could be solved\nas `?m := fun _ => IO Bool` using `constApprox`, but this spurious solution would generate a failure when we try to\nsolve `[Pure (fun _ => IO Bool)]` "},"Lean.Meta.forallTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1052-L1053","name":"Lean.Meta.forallTelescopeReducing","line":1052,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescopeReducing","doc":"Similar to `forallTelescope`, but given `type` of the form `forall xs, A`,\nit reduces `A` and continues bulding the telescope if it is a `forall`. "},"Lean.Meta.forallTelescopeCompatibleAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L11-L28","name":"Lean.Meta.forallTelescopeCompatibleAux","line":11,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatibleAux","doc":""},"Lean.Meta.forallTelescopeCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L32-L34","name":"Lean.Meta.forallTelescopeCompatible","line":32,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatible","doc":"Given two forall-expressions `type₁` and `type₂`, ensure the first `numParams` parameters are compatible, and\nthen execute `k` with the parameters and remaining types. "},"Lean.Meta.forallTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1043-L1044","name":"Lean.Meta.forallTelescope","line":1043,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescope","doc":"Given `type` of the form `forall xs, A`, execute `k xs A`.\nThis combinator will declare local declarations, create free variables for them,\nexecute `k` with updated local context, and make sure the cache is restored after executing `k`. "},"Lean.Meta.forallMetaTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1147-L1148","name":"Lean.Meta.forallMetaTelescopeReducing","line":1147,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescopeReducing","doc":"Similar to `forallMetaTelescope`, but if `e = forall ..xs, A`\nit will reduce `A` to construct further mvars. "},"Lean.Meta.forallMetaTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1142-L1143","name":"Lean.Meta.forallMetaTelescope","line":1142,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescope","doc":"Given `e` of the form `forall ..xs, A`, this combinator will create a new\nmetavariable for each `x` in `xs` and instantiate `A` with these.\nReturns a product containing\n- the new metavariables\n- the binder info for the `xs`\n- the instantiated `A`\n"},"Lean.Meta.forallMetaBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1152-L1153","name":"Lean.Meta.forallMetaBoundedTelescope","line":1152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaBoundedTelescope","doc":"Similar to `forallMetaTelescopeReducing`, stops\nconstructing the telescope when it reaches size `maxMVars`. "},"Lean.Meta.forallBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1061-L1062","name":"Lean.Meta.forallBoundedTelescope","line":1061,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallBoundedTelescope","doc":"Similar to `forallTelescopeReducing`, stops constructing the telescope when\nit reaches size `maxFVars`. "},"Lean.Meta.forEachExpr'.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L58-L68","name":"Lean.Meta.forEachExpr'.visit","line":58,"kind":"opaque","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'.visit","doc":""},"Lean.Meta.forEachExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L52-L69","name":"Lean.Meta.forEachExpr'","line":52,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'","doc":"Similar to `Expr.forEach'`, but creates free variables whenever going inside of a binder.\nIf the inner function returns `false`, deeper subexpressions will not be visited.\n "},"Lean.Meta.forEachExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L72-L75","name":"Lean.Meta.forEachExpr","line":72,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr","doc":"Similar to `Expr.forEach`, but creates free variables whenever going inside of a binder. "},"Lean.Meta.foldPatValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Value.lean#L37-L40","name":"Lean.Meta.foldPatValue","line":37,"kind":"def","docLink":"./Lean/Meta/Match/Value.html#Lean.Meta.foldPatValue","doc":"The frontend expands uint numerals occurring in patterns into `UInt*.mk ..` contructor applications.\nThis method convert them back into `UInt*.ofNat ..` applications.\n"},"Lean.Meta.foldAncestors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprLens.lean#L106-L109","name":"Lean.Meta.foldAncestors","line":106,"kind":"def","docLink":"./Lean/Meta/ExprLens.html#Lean.Meta.foldAncestors","doc":"`foldAncestors k init p e` folds over the strict ancestor subexpressions of the given expression `e` above position `p`, starting at the root expression and working down.\nThe fold function `k` is given the newly instantiated free variables, the ancestor subexpression, and the coordinate\nthat will be explored next."},"Lean.Meta.findMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L515-L516","name":"Lean.Meta.findMVarDecl?","line":515,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findMVarDecl?","doc":""},"Lean.Meta.findLocalDeclWithType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L11-L18","name":"Lean.Meta.findLocalDeclWithType?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.findLocalDeclWithType?","doc":"Return a local declaration whose type is definitionally equal to `type`. "},"Lean.Meta.findLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L643-L644","name":"Lean.Meta.findLocalDecl?","line":643,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findLocalDecl?","doc":""},"Lean.Meta.expandCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L24-L33","name":"Lean.Meta.expandCoe","line":24,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.expandCoe","doc":"Expand coercions occurring in `e` "},"Lean.Meta.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L53-L54","name":"Lean.Meta.existsIntro","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.existsIntro","doc":""},"Lean.Meta.exactlyOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L137-L140","name":"Lean.Meta.exactlyOne","line":137,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.exactlyOne","doc":""},"Lean.Meta.evalNat.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Offset.lean#L36-L61","name":"Lean.Meta.evalNat.visit","line":36,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat.visit","doc":""},"Lean.Meta.evalNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Offset.lean#L27-L61","name":"Lean.Meta.evalNat","line":27,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat","doc":"Evaluate simple `Nat` expressions.\nRemark: this method assumes the given expression has type `Nat`. "},"Lean.Meta.evalExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eval.lean#L10-L24","name":"Lean.Meta.evalExprCore","line":10,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExprCore","doc":""},"Lean.Meta.evalExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eval.lean#L26-L30","name":"Lean.Meta.evalExpr'","line":26,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr'","doc":""},"Lean.Meta.evalExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eval.lean#L32-L35","name":"Lean.Meta.evalExpr","line":32,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr","doc":""},"Lean.Meta.etaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1666-L1667","name":"Lean.Meta.etaExpand","line":1666,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.etaExpand","doc":"Eta expand the given expression.\nExample:\n```\netaExpand (mkConst ``Nat.add)\n```\nproduces `fun x y => Nat.add x y`\n"},"Lean.Meta.erasePatternRefAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L165-L166","name":"Lean.Meta.erasePatternRefAnnotations","line":165,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.erasePatternRefAnnotations","doc":""},"Lean.Meta.eraseInaccessibleAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L162-L163","name":"Lean.Meta.eraseInaccessibleAnnotations","line":162,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.eraseInaccessibleAnnotations","doc":""},"Lean.Meta.eqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eqns.lean#L57-L58","name":"Lean.Meta.eqnsExt","line":57,"kind":"opaque","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.eqnsExt","doc":""},"Lean.Meta.ensureAtMostOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L142-L146","name":"Lean.Meta.ensureAtMostOne","line":142,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.ensureAtMostOne","doc":""},"Lean.Meta.elimOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L26-L31","name":"Lean.Meta.elimOptParam","line":26,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.elimOptParam","doc":""},"Lean.Meta.elimMVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L765-L766","name":"Lean.Meta.elimMVarDeps","line":765,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.elimMVarDeps","doc":""},"Lean.Meta.dsimpGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L1022-L1053","name":"Lean.Meta.dsimpGoal","line":1022,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimpGoal","doc":""},"Lean.Meta.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L858-L860","name":"Lean.Meta.dsimp","line":858,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimp","doc":""},"Lean.Meta.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L35-L36","name":"Lean.Meta.deltaTarget","line":35,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaTarget","doc":""},"Lean.Meta.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L47-L48","name":"Lean.Meta.deltaLocalDecl","line":47,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaLocalDecl","doc":""},"Lean.Meta.deltaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L20-L24","name":"Lean.Meta.deltaExpand","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaExpand","doc":"Low-level delta expansion. 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"},"Lean.Meta.delta?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L11-L17","name":"Lean.Meta.delta?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.delta?","doc":""},"Lean.Meta.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L43-L44","name":"Lean.Meta.define","line":43,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.define","doc":""},"Lean.Meta.defaultInstanceExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L247-L251","name":"Lean.Meta.defaultInstanceExtension","line":247,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.defaultInstanceExtension","doc":""},"Lean.Meta.decLevel?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L53-L59","name":"Lean.Meta.decLevel?","line":53,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel?","doc":""},"Lean.Meta.decLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L61-L64","name":"Lean.Meta.decLevel","line":61,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel","doc":""},"Lean.Meta.customEliminatorExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L108-L113","name":"Lean.Meta.customEliminatorExt","line":108,"kind":"opaque","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.customEliminatorExt","doc":""},"Lean.Meta.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L229-L230","name":"Lean.Meta.contradiction","line":229,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.contradiction","doc":""},"Lean.Meta.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L31-L32","name":"Lean.Meta.constructor","line":31,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.constructor","doc":""},"Lean.Meta.congrExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L45-L50","name":"Lean.Meta.congrExtension","line":45,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.congrExtension","doc":""},"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L119-L128","name":"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","line":119,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","doc":""},"Lean.Meta.computeSynthOrder.assignMVarsIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L139-L143","name":"Lean.Meta.computeSynthOrder.assignMVarsIn","line":139,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.assignMVarsIn","doc":""},"Lean.Meta.computeSynthOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L113-L188","name":"Lean.Meta.computeSynthOrder","line":113,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder","doc":"Compute the order the arguments of `inst` should by synthesized.\n\nThe synthesization order makes sure that all mvars in non-out-params of the\nsubgoals are assigned before we try to synthesize it. Otherwise it goes left\nto right.\n\nFor example:\n - `[Add α] [Zero α] : Foo α` returns `[0, 1]`\n - `[Mul A] [Mul B] [MulHomClass F A B] : FunLike F A B` returns `[2, 0, 1]`\n (because A B are out-params and are only filled in once we synthesize 2)\n\n(The type of `inst` must not contain mvars.)\n"},"Lean.Meta.compatibleCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Inductive.lean#L13-L21","name":"Lean.Meta.compatibleCtors","line":13,"kind":"def","docLink":"./Lean/Meta/Inductive.html#Lean.Meta.compatibleCtors","doc":"Return true if the types of the given constructors are compatible. "},"Lean.Meta.collectMVarsAtDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CollectMVars.lean#L41-L42","name":"Lean.Meta.collectMVarsAtDecl","line":41,"kind":"def","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVarsAtDecl","doc":""},"Lean.Meta.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CollectMVars.lean#L20-L29","name":"Lean.Meta.collectMVars","line":20,"kind":"opaque","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVars","doc":"Collect unassigned metavariables occuring in the given expression.\n\nRemark: if `e` contains `?m` and there is a `t` assigned to `?m`, we\ncollect unassigned metavariables occurring in `t`.\n\nRemark: if `e` contains `?m` and `?m` is delayed assigned to some term `t`,\nwe collect `?m` and unassigned metavariables occurring in `t`.\nWe collect `?m` because it has not been assigned yet. "},"Lean.Meta.collectForwardDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L741-L742","name":"Lean.Meta.collectForwardDeps","line":741,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.collectForwardDeps","doc":"Collect forward dependencies for the free variables in `toRevert`.\nRecall that when reverting free variables `xs`, we must also revert their forward dependencies.\n"},"Lean.Meta.coerceToSort?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L69-L79","name":"Lean.Meta.coerceToSort?","line":69,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToSort?","doc":"Coerces `expr` to a type. "},"Lean.Meta.coerceToFunction?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L56-L66","name":"Lean.Meta.coerceToFunction?","line":56,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToFunction?","doc":"Coerces `expr` to a function type. "},"Lean.Meta.coerceSimple?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L41-L53","name":"Lean.Meta.coerceSimple?","line":41,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceSimple?","doc":"Coerces `expr` to `expectedType` using `CoeT`. "},"Lean.Meta.coerceMonadLift?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L155-L197","name":"Lean.Meta.coerceMonadLift?","line":155,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceMonadLift?","doc":"Try coercions and monad lifts to make sure `e` has type `expectedType`.\n\nIf `expectedType` is of the form `n β`, we try monad lifts and other extensions.\n\nExtensions for monads.\n\n1. Try to unify `n` and `m`. If it succeeds, then we use\n ```\n coeM {m : Type u → Type v} {α β : Type u} [∀ a, CoeT α a β] [Monad m] (x : m α) : m β\n ```\n `n` must be a `Monad` to use this one.\n\n2. If there is monad lift from `m` to `n` and we can unify `α` and `β`, we use\n ```\n liftM : ∀ {m : Type u_1 → Type u_2} {n : Type u_1 → Type u_3} [self : MonadLiftT m n] {α : Type u_1}, m α → n α\n ```\n Note that `n` may not be a `Monad` in this case. This happens quite a bit in code such as\n ```\n def g (x : Nat) : IO Nat := do\n IO.println x\n pure x\n\n def f {m} [MonadLiftT IO m] : m Nat :=\n g 10\n\n ```\n\n3. If there is a monad lift from `m` to `n` and a coercion from `α` to `β`, we use\n ```\n liftCoeM {m : Type u → Type v} {n : Type u → Type w} {α β : Type u} [MonadLiftT m n] [∀ a, CoeT α a β] [Monad n] (x : m α) : n β\n ```\n\nNote that approach 3 does not subsume 1 because it is only applicable if there is a coercion from `α` to `β` for all values in `α`.\nThis is not the case for example for `pure $ x > 0` when the expected type is `IO Bool`. The given type is `IO Prop`, and\nwe only have a coercion from decidable propositions. Approach 1 works because it constructs the coercion `CoeT (m Prop) (pure $ x > 0) (m Bool)`\nusing the instance `pureCoeDepProp`.\n\nNote that, approach 2 is more powerful than `tryCoe`.\nRecall that type class resolution never assigns metavariables created by other modules.\nNow, consider the following scenario\n```lean\ndef g (x : Nat) : IO Nat := ...\ndeg h (x : Nat) : StateT Nat IO Nat := do\nv ← g x;\nIO.Println v;\n...\n```\nLet's assume there is no other occurrence of `v` in `h`.\nThus, we have that the expected of `g x` is `StateT Nat IO ?α`,\nand the given type is `IO Nat`. So, even if we add a coercion.\n```\ninstance {α m n} [MonadLiftT m n] {α} : Coe (m α) (n α) := ...\n```\nIt is not applicable because TC would have to assign `?α := Nat`.\nOn the other hand, TC can easily solve `[MonadLiftT IO (StateT Nat IO)]`\nsince this goal does not contain any metavariables. And then, we\nconvert `g x` into `liftM $ g x`.\n"},"Lean.Meta.coerce?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L203-L210","name":"Lean.Meta.coerce?","line":203,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerce?","doc":"Coerces `expr` to the type `expectedType`.\nReturns `.some coerced` on successful coercion,\n`.none` if the expression cannot by coerced to that type,\nor `.undef` if we need more metavariable assignments. "},"Lean.Meta.coeDeclAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L13-L14","name":"Lean.Meta.coeDeclAttr","line":13,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coeDeclAttr","doc":""},"Lean.Meta.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L38-L39","name":"Lean.Meta.clear","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.clear","doc":""},"Lean.Meta.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cleanup.lean#L70-L71","name":"Lean.Meta.cleanup","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.Meta.cleanup","doc":""},"Lean.Meta.checkpointDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1593-L1620","name":"Lean.Meta.checkpointDefEq","line":1593,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.checkpointDefEq","doc":"`checkpointDefEq x` executes `x` and process all postponed universe level constraints produced by `x`.\nWe keep the modifications only if `processPostponed` return true and `x` returned `true`.\n\nIf `mayPostpone == false`, all new postponed universe level constraints must be solved before returning.\nWe currently try to postpone universe constraints as much as possible, even when by postponing them we\nare not sure whether `x` really succeeded or not.\n"},"Lean.Meta.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L53-L54","name":"Lean.Meta.checkNotAssigned","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.checkNotAssigned","doc":""},"Lean.Meta.checkAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L933-L950","name":"Lean.Meta.checkAssignment","line":933,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.checkAssignment","doc":"Auxiliary function for handling constraints of the form `?m a₁ ... aₙ =?= v`.\nIt will check whether we can perform the assignment\n```\n?m := fun fvars => v\n```\nThe result is `none` if the assignment can't be performed.\nThe result is `some newV` where `newV` is a possibly updated `v`. This method may need\nto unfold let-declarations. "},"Lean.Meta.checkApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Check.lean#L136-L144","name":"Lean.Meta.checkApp","line":136,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.checkApp","doc":""},"Lean.Meta.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Check.lean#L189-L196","name":"Lean.Meta.check","line":189,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.check","doc":"Throw an exception if `e` is not type correct.\n"},"Lean.Meta.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L156-L157","name":"Lean.Meta.changeLocalDecl","line":156,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.changeLocalDecl","doc":""},"Lean.Meta.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L128-L129","name":"Lean.Meta.change","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.change","doc":""},"Lean.Meta.casesOnStuckLHS?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L52-L53","name":"Lean.Meta.casesOnStuckLHS?","line":52,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS?","doc":""},"Lean.Meta.casesOnStuckLHS.findFVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L27-L50","name":"Lean.Meta.casesOnStuckLHS.findFVar?","line":27,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS.findFVar?","doc":""},"Lean.Meta.casesOnStuckLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L20-L50","name":"Lean.Meta.casesOnStuckLHS","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS","doc":"Helper method for `proveCondEqThm`. Given a goal of the form `C.rec ... xMajor = rhs`,\napply `cases xMajor`. 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(h_n : x != value[n-1]) |- C x`\nwhere `n = values.size`\nwhere `fvarId` is `x`s id.\nThe type of `x` must have decidable equality.\n\nRemark: the last subgoal is for the \"else\" catchall case, and its `subst` is `{}`.\nRemark: the fiels `newHs` has size 1 forall but the last subgoal.\n\nIf `substNewEqs = true`, then the new `h_i` equality hypotheses are substituted in the first `n` cases.\n"},"Lean.Meta.caseValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/CaseValues.lean#L55-L59","name":"Lean.Meta.caseValue","line":55,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValue","doc":""},"Lean.Meta.caseArraySizes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/CaseArraySizes.lean#L60-L87","name":"Lean.Meta.caseArraySizes","line":60,"kind":"def","docLink":"./Lean/Meta/Match/CaseArraySizes.html#Lean.Meta.caseArraySizes","doc":"Split goal `... |- C a` into sizes.size + 1 subgoals\n1) `..., x_1 ... x_{sizes[0]} |- C #[x_1, ... x_{sizes[0]}]`\n...\nn) `..., x_1 ... x_{sizes[n-1]} |- C #[x_1, ..., x_{sizes[n-1]}]`\nn+1) `..., (h_1 : a.size != sizes[0]), ..., (h_n : a.size != sizes[n-1]) |- C a`\nwhere `n = sizes.size` "},"Lean.Meta.canUnfoldAtMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L390-L413","name":"Lean.Meta.canUnfoldAtMatcher","line":390,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.canUnfoldAtMatcher","doc":"The \"match\" compiler uses `if-then-else` expressions and other auxiliary declarations to compile match-expressions such as\n```\nmatch v with\n| 'a' => 1\n| 'b' => 2\n| _ => 3\n```\nbecause it is more efficient than using `casesOn` recursors.\nThe method `reduceMatcher?` fails if these auxiliary definitions (e.g., `ite`) cannot be unfolded in the current\ntransparency setting. This is problematic because tactics such as `simp` use `TransparencyMode.reducible`, and\nmost users assume that expressions such as\n```\nmatch 0 with\n| 0 => 1\n| 100 => 2\n| _ => 3\n```\nshould reduce in any transparency mode.\nThus, we define a custom `canUnfoldAtMatcher` predicate for `whnfMatcher`.\n\nThis solution is not very modular because modifications at the `match` compiler require changes here.\nWe claim this is defensible because it is reducing the auxiliary declaration defined by the `match` compiler.\n\nAlternative solution: tactics that use `TransparencyMode.reducible` should rely on the equations we generated for match-expressions.\nThis solution is also not perfect because the match-expression above will not reduce during type checking when we are not using\n`TransparencyMode.default` or `TransparencyMode.all`.\n"},"Lean.Meta.canUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GetUnfoldableConst.lean#L22-L27","name":"Lean.Meta.canUnfold","line":22,"kind":"def","docLink":"./Lean/Meta/GetUnfoldableConst.html#Lean.Meta.canUnfold","doc":""},"Lean.Meta.auxLemmasExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L15-L15","name":"Lean.Meta.auxLemmasExt","line":15,"kind":"opaque","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.auxLemmasExt","doc":""},"Lean.Meta.autoLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L35-L38","name":"Lean.Meta.autoLift","line":35,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.autoLift","doc":""},"Lean.Meta.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L29-L30","name":"Lean.Meta.assumptionCore","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumptionCore","doc":""},"Lean.Meta.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L38-L39","name":"Lean.Meta.assumption","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumption","doc":""},"Lean.Meta.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L113-L114","name":"Lean.Meta.assertHypotheses","line":113,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertHypotheses","doc":""},"Lean.Meta.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L63-L64","name":"Lean.Meta.assertExt","line":63,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertExt","doc":""},"Lean.Meta.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L87-L88","name":"Lean.Meta.assertAfter","line":87,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertAfter","doc":""},"Lean.Meta.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L26-L27","name":"Lean.Meta.assert","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assert","doc":""},"Lean.Meta.approxDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1354-L1355","name":"Lean.Meta.approxDefEq","line":1354,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.approxDefEq","doc":"Execute `x` using approximate unification: `foApprox`, `ctxApprox` and `quasiPatternApprox`. 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two expressions `a` and `b`, this method tries to annotate terms with `pp.explicit := true` to\nexpose \"implicit\" differences. 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"},"Lean.Meta.SynthInstance.synth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L569-L575","name":"Lean.Meta.SynthInstance.synth","line":569,"kind":"opaque","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.synth","doc":""},"Lean.Meta.SynthInstance.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L554-L564","name":"Lean.Meta.SynthInstance.step","line":554,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.step","doc":""},"Lean.Meta.SynthInstance.resume":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L537-L552","name":"Lean.Meta.SynthInstance.resume","line":537,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.resume","doc":"Given `(cNode, answer)` on the top of the resume stack, continue execution by using `answer` to solve the\nnext subgoal. 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"},"Lean.Meta.SynthInstance.modifyTop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L506-L507","name":"Lean.Meta.SynthInstance.modifyTop","line":506,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.modifyTop","doc":""},"Lean.Meta.SynthInstance.mkTableKeyFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L266-L270","name":"Lean.Meta.SynthInstance.mkTableKeyFor","line":266,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkTableKeyFor","doc":"Create a `key` for the goal associated with the given metavariable.\nThat is, we create a key for the type of the metavariable.\n\nWe must instantiate assigned metavariables before we invoke `mkTableKey`. "},"Lean.Meta.SynthInstance.mkTableKey":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L144-L147","name":"Lean.Meta.SynthInstance.mkTableKey","line":144,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkTableKey","doc":"Remark: `mkTableKey` assumes `e` does not contain assigned metavariables. "},"Lean.Meta.SynthInstance.mkGeneratorNode?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L225-L236","name":"Lean.Meta.SynthInstance.mkGeneratorNode?","line":225,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkGeneratorNode?","doc":""},"Lean.Meta.SynthInstance.mapMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L181-L182","name":"Lean.Meta.SynthInstance.mapMetaM","line":181,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mapMetaM","doc":""},"Lean.Meta.SynthInstance.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L577-L590","name":"Lean.Meta.SynthInstance.main","line":577,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.main","doc":""},"Lean.Meta.SynthInstance.isNewAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L367-L371","name":"Lean.Meta.SynthInstance.isNewAnswer","line":367,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.isNewAnswer","doc":""},"Lean.Meta.SynthInstance.instInhabitedSynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L184-L185","name":"Lean.Meta.SynthInstance.instInhabitedSynthM","line":184,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedSynthM","doc":""},"Lean.Meta.SynthInstance.instInhabitedInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L35-L35","name":"Lean.Meta.SynthInstance.instInhabitedInstance","line":35,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedInstance","doc":""},"Lean.Meta.SynthInstance.instInhabitedGeneratorNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L43-L43","name":"Lean.Meta.SynthInstance.instInhabitedGeneratorNode","line":43,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedGeneratorNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedConsumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L51-L51","name":"Lean.Meta.SynthInstance.instInhabitedConsumerNode","line":51,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedConsumerNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L153-L153","name":"Lean.Meta.SynthInstance.instInhabitedAnswer","line":153,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedAnswer","doc":""},"Lean.Meta.SynthInstance.getTop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L503-L504","name":"Lean.Meta.SynthInstance.getTop","line":503,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getTop","doc":""},"Lean.Meta.SynthInstance.getSubgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L298-L320","name":"Lean.Meta.SynthInstance.getSubgoals","line":298,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getSubgoals","doc":"`getSubgoals lctx localInsts xs inst` creates the subgoals for the instance `inst`.\nThe subgoals are in the context of the free variables `xs`, and\n`(lctx, localInsts)` is the local context and instances before we added the free variables to it.\n\nThis extra complication is required because\n 1- We want all metavariables created by `synthInstance` to share the same local context.\n 2- We want to ensure that applications such as `mvar xs` are higher order patterns.\n\nThe method `getGoals` create a new metavariable for each parameter of `inst`.\nFor example, suppose the type of `inst` is `forall (x_1 : A_1) ... (x_n : A_n), B x_1 ... x_n`.\nThen, we create the metavariables `?m_i : forall xs, A_i`, and return the subset of these\nmetavariables that are instance implicit arguments, and the expressions:\n - `inst (?m_1 xs) ... (?m_n xs)` (aka `instVal`)\n - `B (?m_1 xs) ... (?m_n xs)` "},"Lean.Meta.SynthInstance.getResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L566-L567","name":"Lean.Meta.SynthInstance.getResult","line":566,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getResult","doc":""},"Lean.Meta.SynthInstance.getNextToResume":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L529-L532","name":"Lean.Meta.SynthInstance.getNextToResume","line":529,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getNextToResume","doc":""},"Lean.Meta.SynthInstance.getMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L29-L30","name":"Lean.Meta.SynthInstance.getMaxHeartbeats","line":29,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.getInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L188-L223","name":"Lean.Meta.SynthInstance.getInstances","line":188,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getInstances","doc":"Return globals and locals instances that may unify with `type` "},"Lean.Meta.SynthInstance.getEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L256-L259","name":"Lean.Meta.SynthInstance.getEntry","line":256,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getEntry","doc":""},"Lean.Meta.SynthInstance.generate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L510-L527","name":"Lean.Meta.SynthInstance.generate","line":510,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.generate","doc":"Try the next instance in the node on the top of the generator stack. "},"Lean.Meta.SynthInstance.findEntry?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L253-L254","name":"Lean.Meta.SynthInstance.findEntry?","line":253,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.findEntry?","doc":""},"Lean.Meta.SynthInstance.consume":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L454-L501","name":"Lean.Meta.SynthInstance.consume","line":454,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.consume","doc":"Process the next subgoal in the given consumer node. "},"Lean.Meta.SynthInstance.checkMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L178-L179","name":"Lean.Meta.SynthInstance.checkMaxHeartbeats","line":178,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.checkMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.addAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L385-L399","name":"Lean.Meta.SynthInstance.addAnswer","line":385,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.addAnswer","doc":"Create a new answer after `cNode` resolved all subgoals.\nThat is, `cNode.subgoals == []`.\nAnd then, store it in the tabled entries map, and wakeup waiters. "},"Lean.Meta.SynthInstance.Waiter.root":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L55-L55","name":"Lean.Meta.SynthInstance.Waiter.root","line":55,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.root","doc":""},"Lean.Meta.SynthInstance.Waiter.isRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L57-L59","name":"Lean.Meta.SynthInstance.Waiter.isRoot","line":57,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.isRoot","doc":""},"Lean.Meta.SynthInstance.Waiter.consumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L54-L54","name":"Lean.Meta.SynthInstance.Waiter.consumerNode","line":54,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.consumerNode","doc":""},"Lean.Meta.SynthInstance.Waiter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L53-L55","name":"Lean.Meta.SynthInstance.Waiter","line":53,"kind":"inductive","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter","doc":""},"Lean.Meta.SynthInstance.TableEntry.waiters":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L156-L156","name":"Lean.Meta.SynthInstance.TableEntry.waiters","line":156,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.waiters","doc":""},"Lean.Meta.SynthInstance.TableEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.TableEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.mk","doc":""},"Lean.Meta.SynthInstance.TableEntry.answers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L157-L157","name":"Lean.Meta.SynthInstance.TableEntry.answers","line":157,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.answers","doc":""},"Lean.Meta.SynthInstance.TableEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L155-L157","name":"Lean.Meta.SynthInstance.TableEntry","line":155,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry","doc":""},"Lean.Meta.SynthInstance.SynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L176-L176","name":"Lean.Meta.SynthInstance.SynthM","line":176,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SynthM","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.subgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L279-L279","name":"Lean.Meta.SynthInstance.SubgoalsResult.subgoals","line":279,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.subgoals","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.SubgoalsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.mk","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L280-L280","name":"Lean.Meta.SynthInstance.SubgoalsResult.instVal","line":280,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instVal","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L281-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","line":281,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L278-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult","line":278,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult","doc":"See `getSubgoals` and `getSubgoalsAux`\n\nWe use the parameter `j` to reduce the number of `instantiate*` invocations.\nIt is the same approach we use at `forallTelescope` and `lambdaTelescope`.\nGiven `getSubgoalsAux args j subgoals instVal type`,\nwe have that `type.instantiateRevRange j args.size args` does not have loose bound variables. 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`SimpTheorems`.\n"},"Lean.Meta.SimpTheorem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L1-L1","name":"Lean.Meta.SimpTheorem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.mk","doc":""},"Lean.Meta.SimpTheorem.levelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L82-L82","name":"Lean.Meta.SimpTheorem.levelParams","line":82,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.levelParams","doc":"It stores universe parameter names for universe polymorphic proofs.\nRecall that it is non-empty only when we elaborate an expression provided by the user.\nWhen `proof` is just a constant, we can use the universe parameter names stored in the declaration.\n"},"Lean.Meta.SimpTheorem.keys":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L76-L76","name":"Lean.Meta.SimpTheorem.keys","line":76,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.keys","doc":""},"Lean.Meta.SimpTheorem.getValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L410-L419","name":"Lean.Meta.SimpTheorem.getValue","line":410,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.getValue","doc":""},"Lean.Meta.SimpTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L75-L95","name":"Lean.Meta.SimpTheorem","line":75,"kind":"structure","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem","doc":"The fields `levelParams` and `proof` are used to encode the proof of the simp theorem.\nIf the `proof` is a global declaration `c`, we store `Expr.const c []` at `proof` without the universe levels, and `levelParams` is set to `#[]`\nWhen using the lemma, we create fresh universe metavariables.\nMotivation: most simp theorems are global declarations, and this approach is faster and saves memory.\n\nThe field `levelParams` is not empty only when we elaborate an expression provided by the user, and it contains universe metavariables.\nThen, we use `abstractMVars` to abstract the universe metavariables and create new fresh universe parameters that are stored at the field 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The `simp` tactic also uses some of 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See `mkCongrSimp?`. 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This is used for reporting errors back to the user. "},"Lean.Meta.PostponedEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.PostponedEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.mk","doc":""},"Lean.Meta.PostponedEntry.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L240-L240","name":"Lean.Meta.PostponedEntry.lhs","line":240,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.lhs","doc":""},"Lean.Meta.PostponedEntry.ctx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L243-L243","name":"Lean.Meta.PostponedEntry.ctx?","line":243,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.ctx?","doc":"Context for the surrounding `isDefEq` call when entry was created. "},"Lean.Meta.PostponedEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L237-L244","name":"Lean.Meta.PostponedEntry","line":237,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry","doc":"Auxiliary structure for representing postponed universe constraints.\nRemark: the fields `ref` and `rootDefEq?` are used for error message generation only.\nRemark: we may consider improving the error message generation in the future.\n"},"Lean.Meta.ParamInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.ParamInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.mk","doc":""},"Lean.Meta.ParamInfo.isStrictImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L158-L159","name":"Lean.Meta.ParamInfo.isStrictImplicit","line":158,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isStrictImplicit","doc":""},"Lean.Meta.ParamInfo.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L116-L116","name":"Lean.Meta.ParamInfo.isProp","line":116,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isProp","doc":"`isProp` is true if the parameter is always a proposition. "},"Lean.Meta.ParamInfo.isInstImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L155-L156","name":"Lean.Meta.ParamInfo.isInstImplicit","line":155,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isInstImplicit","doc":""},"Lean.Meta.ParamInfo.isImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L152-L153","name":"Lean.Meta.ParamInfo.isImplicit","line":152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isImplicit","doc":""},"Lean.Meta.ParamInfo.isExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L161-L162","name":"Lean.Meta.ParamInfo.isExplicit","line":161,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isExplicit","doc":""},"Lean.Meta.ParamInfo.isDecInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L121-L121","name":"Lean.Meta.ParamInfo.isDecInst","line":121,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isDecInst","doc":"`isDecInst` is true if the parameter's type is of the form `Decidable ...`.\nThis information affects the generation of congruence theorems.\n"},"Lean.Meta.ParamInfo.higherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L135-L135","name":"Lean.Meta.ParamInfo.higherOrderOutParam","line":135,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.higherOrderOutParam","doc":"`higherOrderOutParam` is true if this parameter is a higher-order output parameter\nof local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter `dom` because it is output parameter of\n`[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.hasFwdDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L112-L112","name":"Lean.Meta.ParamInfo.hasFwdDeps","line":112,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.hasFwdDeps","doc":"`hasFwdDeps` is true if there is another parameter whose type depends on this one. "},"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L149-L149","name":"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","line":149,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","doc":"`dependsOnHigherOrderOutParam` is true if the type of this parameter depends on\nthe higher-order output parameter of a previous local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter with type `dom xs i` since `dom` is an output parameter\nof the instance `[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L110-L110","name":"Lean.Meta.ParamInfo.binderInfo","line":110,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.binderInfo","doc":"The binder annotation for the parameter. "},"Lean.Meta.ParamInfo.backDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L114-L114","name":"Lean.Meta.ParamInfo.backDeps","line":114,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.backDeps","doc":"`backDeps` contains the backwards dependencies. That is, the (0-indexed) position of previous parameters that this one depends on. "},"Lean.Meta.ParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L108-L150","name":"Lean.Meta.ParamInfo","line":108,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo","doc":"Function parameter information cache.\n"},"Lean.Meta.Origin.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L29-L34","name":"Lean.Meta.Origin.stx","line":29,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.stx","doc":"A proof term provided directly to a call to `simp [ref, ...]` where `ref`\nis the provided simp argument (of kind `Parser.Tactic.simpLemma`).\nThe `id` is a unique identifier for the call.\n"},"Lean.Meta.Origin.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L35-L40","name":"Lean.Meta.Origin.other","line":35,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.other","doc":"Some other origin. `name` should not collide with the other types\nfor erasure to work correctly, and simp trace will ignore this lemma.\nThe other origins should be preferred if possible.\n"},"Lean.Meta.Origin.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L44-L48","name":"Lean.Meta.Origin.key","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.key","doc":"A unique identifier corresponding to the origin. "},"Lean.Meta.Origin.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L22-L28","name":"Lean.Meta.Origin.fvar","line":22,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.fvar","doc":"A local hypothesis.\nWhen `contextual := true` is enabled, this fvar may exist in an extension\nof the current local context; it will not be used for rewriting by simp once\nit is out of scope but it may end up in the `usedSimps` trace.\n"},"Lean.Meta.Origin.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L20-L21","name":"Lean.Meta.Origin.decl","line":20,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.decl","doc":"A global declaration in the environment. "},"Lean.Meta.Origin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L19-L41","name":"Lean.Meta.Origin","line":19,"kind":"inductive","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin","doc":"An `Origin` is an identifier for simp theorems which indicates roughly\nwhat action the user took which lead to this theorem existing in the simp set.\n"},"Lean.Meta.MetaM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L331-L333","name":"Lean.Meta.MetaM.toIO","line":331,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.toIO","doc":""},"Lean.Meta.MetaM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L328-L329","name":"Lean.Meta.MetaM.run'","line":328,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run'","doc":""},"Lean.Meta.MetaM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L325-L326","name":"Lean.Meta.MetaM.run","line":325,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run","doc":""},"Lean.Meta.MetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L289-L289","name":"Lean.Meta.MetaM","line":289,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM","doc":""},"Lean.Meta.MatcherApp.uElimPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L133-L133","name":"Lean.Meta.MatcherApp.uElimPos?","line":133,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.uElimPos?","doc":""},"Lean.Meta.MatcherApp.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L164-L169","name":"Lean.Meta.MatcherApp.toExpr","line":164,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.toExpr","doc":""},"Lean.Meta.MatcherApp.remaining":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L139-L139","name":"Lean.Meta.MatcherApp.remaining","line":139,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.remaining","doc":""},"Lean.Meta.MatcherApp.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L134-L134","name":"Lean.Meta.MatcherApp.params","line":134,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.params","doc":""},"Lean.Meta.MatcherApp.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L135-L135","name":"Lean.Meta.MatcherApp.motive","line":135,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.motive","doc":""},"Lean.Meta.MatcherApp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.MatcherApp.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.mk","doc":""},"Lean.Meta.MatcherApp.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L131-L131","name":"Lean.Meta.MatcherApp.matcherName","line":131,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherName","doc":""},"Lean.Meta.MatcherApp.matcherLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L132-L132","name":"Lean.Meta.MatcherApp.matcherLevels","line":132,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherLevels","doc":""},"Lean.Meta.MatcherApp.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L136-L136","name":"Lean.Meta.MatcherApp.discrs","line":136,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.discrs","doc":""},"Lean.Meta.MatcherApp.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L138-L138","name":"Lean.Meta.MatcherApp.alts","line":138,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.alts","doc":""},"Lean.Meta.MatcherApp.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L137-L137","name":"Lean.Meta.MatcherApp.altNumParams","line":137,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.altNumParams","doc":""},"Lean.Meta.MatcherApp.addArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L955-L959","name":"Lean.Meta.MatcherApp.addArg?","line":955,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg?","doc":"Similar `MatcherApp.addArg?`, but returns `none` on failure. "},"Lean.Meta.MatcherApp.addArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L919-L952","name":"Lean.Meta.MatcherApp.addArg","line":919,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg","doc":"Given\n- matcherApp `match_i As (fun xs => motive[xs]) discrs (fun ys_1 => (alt_1 : motive (C_1[ys_1])) ... (fun ys_n => (alt_n : motive (C_n[ys_n]) remaining`, and\n- expression `e : B[discrs]`,\nConstruct the term\n`match_i As (fun xs => B[xs] -> motive[xs]) discrs (fun ys_1 (y : B[C_1[ys_1]]) => alt_1) ... (fun ys_n (y : B[C_n[ys_n]]) => alt_n) e remaining`, and\nWe use `kabstract` to abstract the discriminants from `B[discrs]`.\nThis method assumes\n- the `matcherApp.motive` is a lambda abstraction where `xs.size == discrs.size`\n- each alternative is a lambda abstraction where `ys_i.size == matcherApp.altNumParams[i]`\n"},"Lean.Meta.MatcherApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L130-L139","name":"Lean.Meta.MatcherApp","line":130,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp","doc":""},"Lean.Meta.Match.withMkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L879-L887","name":"Lean.Meta.Match.withMkMatcherInput","line":879,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withMkMatcherInput","doc":"This function is only used for testing purposes "},"Lean.Meta.Match.withGoalOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L299-L300","name":"Lean.Meta.Match.withGoalOf","line":299,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.withGoalOf","doc":""},"Lean.Meta.Match.withCleanLCtxFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L736-L742","name":"Lean.Meta.Match.withCleanLCtxFor","line":736,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withCleanLCtxFor","doc":"Auxiliary method used at `mkMatcher`. It executes `k` in a local context that contains only\nthe local declarations `m` depends on. This is important because otherwise dependent elimination\nmay \"refine\" the types of unnecessary declarations and accidentally introduce unnecessary dependencies\nin the auto-generated auxiliary declaration. Note that this is not just an optimization because the\nunnecessary dependencies may prevent the termination checker from succeeding. For an example,\nsee issue #1237.\n"},"Lean.Meta.Match.unfoldNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L57-L63","name":"Lean.Meta.Match.unfoldNamedPattern","line":57,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.unfoldNamedPattern","doc":""},"Lean.Meta.Match.toPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L332-L360","name":"Lean.Meta.Match.toPattern","line":332,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.toPattern","doc":"Convert a expression occurring as the argument of a `match` motive application back into a `Pattern`\nFor example, we can use this method to convert `x::y::xs` at\n```\n...\n(motive : List Nat → Sort u_1) (xs : List Nat) (h_1 : (x y : Nat) → (xs : List Nat) → motive (x :: y :: xs))\n...\n```\ninto a pattern object\n"},"Lean.Meta.Match.registerMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L27-L28","name":"Lean.Meta.Match.registerMatchEqns","line":27,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.registerMatchEqns","doc":""},"Lean.Meta.Match.proveCondEqThm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L299-L323","name":"Lean.Meta.Match.proveCondEqThm.go","line":299,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm.go","doc":""},"Lean.Meta.Match.proveCondEqThm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L290-L323","name":"Lean.Meta.Match.proveCondEqThm","line":290,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm","doc":"Helper method for proving a conditional equational theorem associated with an alternative of\nthe `match`-eliminator `matchDeclName`. `type` contains the type of the theorem. "},"Lean.Meta.Match.processInaccessibleAsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L373-L390","name":"Lean.Meta.Match.processInaccessibleAsCtor","line":373,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.processInaccessibleAsCtor","doc":"Given `alt` s.t. the next pattern is an inaccessible pattern `e`,\ntry to normalize `e` into a constructor application.\nIf it is not a constructor, throw an error.\nOtherwise, if it is a constructor application of `ctorName`,\nupdate the next patterns with the fields of the constructor.\nOtherwise, return none. "},"Lean.Meta.Match.mkNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L13-L14","name":"Lean.Meta.Match.mkNamedPattern","line":13,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.mkNamedPattern","doc":""},"Lean.Meta.Match.mkMatcherAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L682-L708","name":"Lean.Meta.Match.mkMatcherAuxDefinition","line":682,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcherAuxDefinition","doc":"Similar to `mkAuxDefinition`, but uses the cache `matcherExt`.\nIt also returns an Boolean that indicates whether a new matcher function was added to the environment or not. "},"Lean.Meta.Match.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L753-L846","name":"Lean.Meta.Match.mkMatcher","line":753,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcher","doc":"Create a dependent matcher for `matchType` where `matchType` is of the form\n`(a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> B[a_1, ..., a_n]`\nwhere `n = numDiscrs`, and the `lhss` are the left-hand-sides of the `match`-expression alternatives.\nEach `AltLHS` has a list of local declarations and a list of patterns.\nThe number of patterns must be the same in each `AltLHS`.\nThe generated matcher has the structure described at `MatcherInfo`. The motive argument is of the form\n`(motive : (a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> Sort v)`\nwhere `v` is a universe parameter or 0 if `B[a_1, ..., a_n]` is a proposition. "},"Lean.Meta.Match.matcherExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L678-L678","name":"Lean.Meta.Match.matcherExt","line":678,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.matcherExt","doc":""},"Lean.Meta.Match.matchEqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L24-L25","name":"Lean.Meta.Match.matchEqnsExt","line":24,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.matchEqnsExt","doc":""},"Lean.Meta.Match.isNamedPattern?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L20-L25","name":"Lean.Meta.Match.isNamedPattern?","line":20,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern?","doc":""},"Lean.Meta.Match.isNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L16-L18","name":"Lean.Meta.Match.isNamedPattern","line":16,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern","doc":""},"Lean.Meta.Match.isCurrVarInductive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L603-L608","name":"Lean.Meta.Match.isCurrVarInductive","line":603,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.isCurrVarInductive","doc":""},"Lean.Meta.Match.instantiatePatternMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L111-L117","name":"Lean.Meta.Match.instantiatePatternMVars","line":111,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiatePatternMVars","doc":""},"Lean.Meta.Match.instantiateAltLHSMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L128-L132","name":"Lean.Meta.Match.instantiateAltLHSMVars","line":128,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiateAltLHSMVars","doc":""},"Lean.Meta.Match.instReprMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instReprMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instReprMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedProblem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L297-L297","name":"Lean.Meta.Match.instInhabitedProblem","line":297,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedProblem","doc":""},"Lean.Meta.Match.instInhabitedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L34-L34","name":"Lean.Meta.Match.instInhabitedPattern","line":34,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedPattern","doc":""},"Lean.Meta.Match.instInhabitedMatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L21-L21","name":"Lean.Meta.Match.instInhabitedMatchEqnsExtState","line":21,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqnsExtState","doc":""},"Lean.Meta.Match.instInhabitedMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedDiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedDiscrInfo","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.instInhabitedDiscrInfo","doc":""},"Lean.Meta.Match.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L162-L162","name":"Lean.Meta.Match.instInhabitedAlt","line":162,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedAlt","doc":""},"Lean.Meta.Match.getNumEqsFromDiscrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L56-L61","name":"Lean.Meta.Match.getNumEqsFromDiscrInfos","line":56,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.getNumEqsFromDiscrInfos","doc":""},"Lean.Meta.Match.getMkMatcherInputInContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L848-L876","name":"Lean.Meta.Match.getMkMatcherInputInContext","line":848,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.getMkMatcherInputInContext","doc":""},"Lean.Meta.Match.getEquationsForImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L698-L701","name":"Lean.Meta.Match.getEquationsForImpl","line":698,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.getEquationsForImpl","doc":""},"Lean.Meta.Match.getEquationsFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L34-L34","name":"Lean.Meta.Match.getEquationsFor","line":34,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.getEquationsFor","doc":""},"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L126-L131","name":"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","line":126,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","doc":""},"Lean.Meta.Match.forallAltTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L88-L124","name":"Lean.Meta.Match.forallAltTelescope.go","line":88,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.go","doc":""},"Lean.Meta.Match.forallAltTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L83-L131","name":"Lean.Meta.Match.forallAltTelescope","line":83,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope","doc":"Similar to `forallTelescopeReducing`, but\n\n1. Eliminates arguments for named parameters and the associated equation proofs.\n\n2. Equality parameters associated with the `h : discr` notation are replaced with `rfl` proofs.\n Recall that this kind of parameter always occurs after the parameters correspoting to pattern variables.\n `numNonEqParams` is the size of the prefix.\n\nThe continuation `k` takes four arguments `ys args mask type`.\n- `ys` are variables for the hypotheses that have not been eliminated.\n- `eqs` are variables for equality hypotheses associated with discriminants annotated with `h : discr`.\n- `args` are the arguments for the alternative `alt` that has type `altType`. `ys.size <= args.size`\n- `mask[i]` is true if the hypotheses has not been eliminated. `mask.size == args.size`.\n- `type` is the resulting type for `altType`.\n\nWe use the `mask` to build the splitter proof. See `mkSplitterProof`.\n"},"Lean.Meta.Match.examplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L289-L290","name":"Lean.Meta.Match.examplesToMessageData","line":289,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.examplesToMessageData","doc":""},"Lean.Meta.Match.counterExamplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L313-L314","name":"Lean.Meta.Match.counterExamplesToMessageData","line":313,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExamplesToMessageData","doc":""},"Lean.Meta.Match.counterExampleToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L310-L311","name":"Lean.Meta.Match.counterExampleToMessageData","line":310,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExampleToMessageData","doc":""},"Lean.Meta.Match.bootstrap.genMatcherCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L672-L676","name":"Lean.Meta.Match.bootstrap.genMatcherCode","line":672,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.bootstrap.genMatcherCode","doc":""},"Lean.Meta.Match.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L94-L95","name":"Lean.Meta.Match.addMatcherInfo","line":94,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.addMatcherInfo","doc":""},"Lean.Meta.Match.State.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L67-L67","name":"Lean.Meta.Match.State.used","line":67,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.used","doc":""},"Lean.Meta.Match.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.mk","doc":""},"Lean.Meta.Match.State.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L68-L68","name":"Lean.Meta.Match.State.counterExamples","line":68,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.counterExamples","doc":""},"Lean.Meta.Match.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L66-L68","name":"Lean.Meta.Match.State","line":66,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State","doc":""},"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L187-L196","name":"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","line":187,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","doc":"Auxiliary tactic that tries to replace as many variables as possible and then apply `contradiction`.\nWe use it to discard redundant hypotheses.\n"},"Lean.Meta.Match.SimpH.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L241-L247","name":"Lean.Meta.Match.SimpH.go","line":241,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.go","doc":""},"Lean.Meta.Match.SimpH.State.xs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L147-L147","name":"Lean.Meta.Match.SimpH.State.xs","line":147,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.xs","doc":""},"Lean.Meta.Match.SimpH.State.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L146-L146","name":"Lean.Meta.Match.SimpH.State.mvarId","line":146,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mvarId","doc":""},"Lean.Meta.Match.SimpH.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L1-L1","name":"Lean.Meta.Match.SimpH.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mk","doc":""},"Lean.Meta.Match.SimpH.State.eqsNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L149-L149","name":"Lean.Meta.Match.SimpH.State.eqsNew","line":149,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqsNew","doc":""},"Lean.Meta.Match.SimpH.State.eqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L148-L148","name":"Lean.Meta.Match.SimpH.State.eqs","line":148,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqs","doc":""},"Lean.Meta.Match.SimpH.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L145-L149","name":"Lean.Meta.Match.SimpH.State","line":145,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State","doc":"State for the equational theorem hypothesis simplifier.\n\nRecall that each equation contains additional hypotheses to ensure the associated case does not taken by previous cases.\nWe have one hypothesis for each previous case.\n\nEach hypothesis is of the form `forall xs, eqs → False`\n\nWe use tactics to minimize code duplication.\n"},"Lean.Meta.Match.SimpH.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L151-L151","name":"Lean.Meta.Match.SimpH.M","line":151,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.M","doc":""},"Lean.Meta.Match.Problem.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L294-L294","name":"Lean.Meta.Match.Problem.vars","line":294,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.vars","doc":""},"Lean.Meta.Match.Problem.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L302-L306","name":"Lean.Meta.Match.Problem.toMessageData","line":302,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.toMessageData","doc":""},"Lean.Meta.Match.Problem.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L293-L293","name":"Lean.Meta.Match.Problem.mvarId","line":293,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mvarId","doc":""},"Lean.Meta.Match.Problem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Problem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mk","doc":""},"Lean.Meta.Match.Problem.examples":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L296-L296","name":"Lean.Meta.Match.Problem.examples","line":296,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.examples","doc":""},"Lean.Meta.Match.Problem.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L295-L295","name":"Lean.Meta.Match.Problem.alts","line":295,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.alts","doc":""},"Lean.Meta.Match.Problem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L292-L297","name":"Lean.Meta.Match.Problem","line":292,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem","doc":""},"Lean.Meta.Match.Pattern.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L29-L29","name":"Lean.Meta.Match.Pattern.var","line":29,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.var","doc":""},"Lean.Meta.Match.Pattern.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L31-L31","name":"Lean.Meta.Match.Pattern.val","line":31,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.val","doc":""},"Lean.Meta.Match.Pattern.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L38-L45","name":"Lean.Meta.Match.Pattern.toMessageData","line":38,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toMessageData","doc":""},"Lean.Meta.Match.Pattern.toExpr.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L50-L70","name":"Lean.Meta.Match.Pattern.toExpr.visit","line":50,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr.visit","doc":""},"Lean.Meta.Match.Pattern.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L47-L70","name":"Lean.Meta.Match.Pattern.toExpr","line":47,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr","doc":""},"Lean.Meta.Match.Pattern.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L85-L87","name":"Lean.Meta.Match.Pattern.replaceFVarId","line":85,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.replaceFVarId","doc":""},"Lean.Meta.Match.Pattern.inaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L28-L28","name":"Lean.Meta.Match.Pattern.inaccessible","line":28,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.inaccessible","doc":""},"Lean.Meta.Match.Pattern.hasExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L89-L95","name":"Lean.Meta.Matc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the free variable substitution `s` to the given pattern "},"Lean.Meta.Match.Pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L27-L34","name":"Lean.Meta.Match.Pattern","line":27,"kind":"inductive","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern","doc":""},"Lean.Meta.Match.MkMatcherInput.numDiscrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L716-L717","name":"Lean.Meta.Match.MkMatcherInput.numDiscrs","line":716,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.numDiscrs","doc":""},"Lean.Meta.Match.MkMatcherInput.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.MkMatcherInput.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.mk","doc":""},"Lean.Meta.Match.MkMatcherInput.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L711-L711","name":"Lean.Meta.Match.MkMatcherInput.matcherName","line":711,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matcherName","doc":""},"Lean.Meta.Match.MkMatcherInput.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L712-L712","name":"Lean.Meta.Match.MkMatcherInput.matchType","line":712,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matchType","doc":""},"Lean.Meta.Match.MkMatcherInput.lhss":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L714-L714","name":"Lean.Meta.Match.MkMatcherInput.lhss","line":714,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.lhss","doc":""},"Lean.Meta.Match.MkMatcherInput.discrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L713-L713","name":"Lean.Meta.Match.MkMatcherInput.discrInfos","line":713,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.discrInfos","doc":""},"Lean.Meta.Match.MkMatcherInput.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L719-L721","name":"Lean.Meta.Match.MkMatcherInput.collectFVars","line":719,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectFVars","doc":""},"Lean.Meta.Match.MkMatcherInput.collectDependencies":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L723-L726","name":"Lean.Meta.Match.MkMatcherInput.collectDependencies","line":723,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectDependencies","doc":""},"Lean.Meta.Match.MkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L710-L714","name":"Lean.Meta.Match.MkMatcherInput","line":710,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput","doc":""},"Lean.Meta.Match.MatcherResult.unusedAltIdxs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L319-L319","name":"Lean.Meta.Match.MatcherResult.unusedAltIdxs","line":319,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.unusedAltIdxs","doc":""},"Lean.Meta.Match.MatcherResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.MatcherResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.mk","doc":""},"Lean.Meta.Match.MatcherResult.matcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L317-L317","name":"Lean.Meta.Match.MatcherResult.matcher","line":317,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.matcher","doc":""},"Lean.Meta.Match.MatcherResult.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L318-L318","name":"Lean.Meta.Match.MatcherResult.counterExamples","line":318,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.counterExamples","doc":""},"Lean.Meta.Match.MatcherResult.addMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L320-L320","name":"Lean.Meta.Matc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= { hName? := some h }` if the i-th discriminant was annotated with `h :`.\n"},"Lean.Meta.Match.MatcherInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L38-L39","name":"Lean.Meta.Match.MatcherInfo.arity","line":38,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.arity","doc":""},"Lean.Meta.Match.MatcherInfo.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L28-L28","name":"Lean.Meta.Match.MatcherInfo.altNumParams","line":28,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.altNumParams","doc":""},"Lean.Meta.Match.MatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L25-L33","name":"Lean.Meta.Match.MatcherInfo","line":25,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo","doc":"A \"matcher\" auxiliary declaration has the following structure:\n- `numParams` parameters\n- motive\n- `numDiscrs` discriminators (aka major premises)\n- `altNumParams.size` alternatives (aka minor premises) where alternative `i` has `altNumParams[i]` parameters\n- `uElimPos?` is `some pos` when the matcher can eliminate in different universe levels, and\n `pos` is the position of the universe level parameter that specifies the elimination universe.\n It is `none` if the matcher only eliminates into `Prop`. "},"Lean.Meta.Match.MatchEqnsExtState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqnsExtState.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.mk","doc":""},"Lean.Meta.Match.MatchEqnsExtState.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L20-L20","name":"Lean.Meta.Match.MatchEqnsExtState.map","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.map","doc":""},"Lean.Meta.Match.MatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L19-L21","name":"Lean.Meta.Match.MatchEqnsExtState","line":19,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState","doc":""},"Lean.Meta.Match.MatchEqns.splitterName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L12-L12","name":"Lean.Meta.Match.MatchEqns.splitterName","line":12,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterName","doc":""},"Lean.Meta.Match.MatchEqns.splitterAltNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L13-L13","name":"Lean.Meta.Match.MatchEqns.splitterAltNumParams","line":13,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterAltNumParams","doc":""},"Lean.Meta.Match.MatchEqns.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L16-L17","name":"Lean.Meta.Match.MatchEqns.size","line":16,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.size","doc":""},"Lean.Meta.Match.MatchEqns.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqns.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.mk","doc":""},"Lean.Meta.Match.MatchEqns.eqnNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L11-L11","name":"Lean.Meta.Match.MatchEqns.eqnNames","line":11,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.eqnNames","doc":""},"Lean.Meta.Match.MatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L10-L14","name":"Lean.Meta.Match.MatchEqns","line":10,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns","doc":""},"Lean.Meta.Match.InjectionAnyResult.subgoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L340-L340","name":"Lean.Meta.Match.InjectionAnyResult.subgoal","line":340,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.subgoal","doc":""},"Lean.Meta.Match.InjectionAnyResult.solved":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L338-L338","name":"Lean.Meta.Match.InjectionAnyResult.solved","line":338,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.solved","doc":""},"Lean.Meta.Match.InjectionAnyResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L339-L339","name":"Lean.Meta.Match.InjectionAnyResult.failed","line":339,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.failed","doc":""},"Lean.Meta.Match.InjectionAnyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L337-L340","name":"Lean.Meta.Match.InjectionAnyResult","line":337,"kind":"inductive","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult","doc":""},"Lean.Meta.Match.Extension.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L75-L75","name":"Lean.Meta.Match.Extension.instInhabitedState","line":75,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.instInhabitedState","doc":""},"Lean.Meta.Match.Extension.getMatcherInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L89-L90","name":"Lean.Meta.Match.Extension.getMatcherInfo?","line":89,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.getMatcherInfo?","doc":""},"Lean.Meta.Match.Extension.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L80-L84","name":"Lean.Meta.Match.Extension.extension","line":80,"kind":"opaque","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.extension","doc":""},"Lean.Meta.Match.Extension.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L86-L87","name":"Lean.Meta.Match.Extension.addMatcherInfo","line":86,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.addMatcherInfo","doc":""},"Lean.Meta.Match.Extension.State.switch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L78-L78","name":"Lean.Meta.Match.Extension.State.switch","line":78,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.switch","doc":""},"Lean.Meta.Match.Extension.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.mk","doc":""},"Lean.Meta.Match.Extension.State.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L73-L73","name":"Lean.Meta.Match.Extension.State.map","line":73,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.map","doc":""},"Lean.Meta.Match.Extension.State.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L77-L77","name":"Lean.Meta.Match.Extension.State.addEntry","line":77,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.addEntry","doc":""},"Lean.Meta.Match.Extension.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L72-L73","name":"Lean.Meta.Match.Extension.State","line":72,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State","doc":""},"Lean.Meta.Match.Extension.Entry.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L69-L69","name":"Lean.Meta.Match.Extension.Entry.name","line":69,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.name","doc":""},"Lean.Meta.Match.Extension.Entry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.Entry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.mk","doc":""},"Lean.Meta.Match.Extension.Entry.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L70-L70","name":"Lean.Meta.Match.Extension.Entry.info","line":70,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.info","doc":""},"Lean.Meta.Match.Extension.Entry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L68-L70","name":"Lean.Meta.Match.Extension.Entry","line":68,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry","doc":""},"Lean.Meta.Match.Example.varsToUnderscore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L273-L277","name":"Lean.Meta.Match.Example.varsToUnderscore","line":273,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.varsToUnderscore","doc":""},"Lean.Meta.Match.Example.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L250-L250","name":"Lean.Meta.Match.Example.var","line":250,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.var","doc":""},"Lean.Meta.Match.Example.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L253-L253","name":"Lean.Meta.Match.Example.val","line":253,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.val","doc":""},"Lean.Meta.Match.Exampl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h` if the discriminant is annotated with `h:` "},"Lean.Meta.Match.DiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L11-L14","name":"Lean.Meta.Match.DiscrInfo","line":11,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.DiscrInfo","doc":""},"Lean.Meta.Match.CounterExample":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L308-L308","name":"Lean.Meta.Match.CounterExample","line":308,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.CounterExample","doc":""},"Lean.Meta.Match.AltLHS.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L120-L120","name":"Lean.Meta.Match.AltLHS.ref","line":120,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.ref","doc":""},"Lean.Meta.Match.AltLHS.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L122-L122","name":"Lean.Meta.Match.AltLHS.patterns","line":122,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.patterns","doc":""},"Lean.Meta.Match.AltLHS.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.AltLHS.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.mk","doc":""},"Lean.Meta.Match.AltLHS.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L121-L121","name":"Lean.Meta.Match.AltLHS.fvarDecls","line":121,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.fvarDecls","doc":""},"Lean.Meta.Match.AltLHS.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L124-L126","name":"Lean.Meta.Match.AltLHS.collectFVars","line":124,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.collectFVars","doc":""},"Lean.Meta.Match.AltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L119-L122","name":"Lean.Meta.Match.AltLHS","line":119,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS","doc":""},"Lean.Meta.Match.Alt.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L166-L172","name":"Lean.Meta.Match.Alt.toMessageData","line":166,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.toMessageData","doc":""},"Lean.Meta.Match.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L146-L146","name":"Lean.Meta.Match.Alt.rhs","line":146,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.rhs","doc":"Right-hand-side of the alternative.\n"},"Lean.Meta.Match.Alt.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L181-L188","name":"Lean.Meta.Match.Alt.replaceFVarId","line":181,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.replaceFVarId","doc":""},"Lean.Meta.Match.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L137-L137","name":"Lean.Meta.Match.Alt.ref","line":137,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.ref","doc":"`Syntax` object for providing position information "},"Lean.Meta.Match.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L154-L154","name":"Lean.Meta.Match.Alt.patterns","line":154,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.patterns","doc":"Alternative patterns.\n"},"Lean.Meta.Match.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Alt.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.mk","doc":""},"Lean.Meta.Match.Alt.isLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L191-L192","name":"Lean.Meta.Match.Alt.isLocalDecl","line":191,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.isLocalDecl","doc":"Return `true` if `fvarId` is one of the alternative pattern variables "},"Lean.Meta.Match.Alt.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L142-L142","name":"Lean.Meta.Match.Alt.idx","line":142,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.idx","doc":"Orginal alternative index. Alternatives can be split, this index is the original\nposition of the alternative that generated this one.\n"},"Lean.Meta.Match.Alt.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L150-L150","name":"Lean.Meta.Match.Alt.fvarDecls","line":150,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.fvarDecls","doc":"Alternative pattern variables.\n"},"Lean.Meta.Match.Alt.cnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L161-L161","name":"Lean.Meta.Match.Alt.cnstrs","line":161,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.cnstrs","doc":"Pending constraints `lhs ≋ rhs` that need to be solved before the alternative\nis considered acceptable. We generate them when processing inaccessible patterns.\nNote that `lhs` and `rhs` often have different types.\nAfter we perform additional case analysis, their types become definitionally equal.\n"},"Lean.Meta.Match.Alt.checkAndReplaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L236-L245","name":"Lean.Meta.Match.Alt.checkAndReplaceFVarId","line":236,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.checkAndReplaceFVarId","doc":"Similar to `checkAndReplaceFVarId`, but ensures type of `v` is definitionally equal to type of `fvarId`.\n This extra check is necessary when performing dependent elimination and inaccessible terms have been used.\n For example, consider the following code fragment:\n\n```\ninductive Vec (α : Type u) : Nat → Type u where\n | nil : Vec α 0\n | cons {n} (head : α) (tail : Vec α n) : Vec α (n+1)\n\ninductive VecPred {α : Type u} (P : α → Prop) : {n : Nat} → Vec α n → Prop where\n | nil : VecPred P Vec.nil\n | cons {n : Nat} {head : α} {tail : Vec α n} : P head → VecPred P tail → VecPred P (Vec.cons head tail)\n\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head _, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nRecall that `_` in a pattern can be elaborated into pattern variable or an inaccessible term.\nThe elaborator uses an inaccessible term when typing constraints restrict its value.\nThus, in the example above, the `_` at `Vec.cons head _` becomes the inaccessible pattern `.(Vec.nil)`\nbecause the type ascription `(w : VecPred P Vec.nil)` propagates typing constraints that restrict its value to be `Vec.nil`.\nAfter elaboration the alternative becomes:\n```\n | .(0), @Vec.cons .(α) .(0) head .(Vec.nil), @VecPred.cons .(α) .(P) .(0) .(head) .(Vec.nil) h w => ⟨head, h⟩\n```\nwhere\n```\n(head : α), (h: P head), (w : VecPred P Vec.nil)\n```\nThen, when we process this alternative in this module, the following check will detect that\n`w` has type `VecPred P Vec.nil`, when it is supposed to have type `VecPred P tail`.\nNote that if we had written\n```\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head Vec.nil, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nwe would get the easier to digest error message\n```\nmissing cases:\n_, (Vec.cons _ _ (Vec.cons _ _ _)), _\n```\n"},"Lean.Meta.Match.Alt.applyFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L174-L179","name":"Lean.Meta.Match.Alt.applyFVarSubst","line":174,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.applyFVarSubst","doc":""},"Lean.Meta.Match.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L135-L162","name":"Lean.Meta.Match.Alt","line":135,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt","doc":"`Match` alternative "},"Lean.Meta.Linear.solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L248-L265","name":"Lean.Meta.Linear.solve","line":248,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.solve","doc":""},"Lean.Meta.Linear.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Simp.lean#L16-L24","name":"Lean.Meta.Linear.simp?","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Simp.html#Lean.Meta.Linear.simp?","doc":""},"Lean.Meta.Linear.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L219-L246","name":"Lean.Meta.Linear.resolve","line":219,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.resolve","doc":""},"Lean.Meta.Linear.pickAssignment?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L207-L217","name":"Lean.Meta.Linear.pickAssignment?","line":207,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.pickAssignment?","doc":""},"Lean.Meta.Linear.isLinearTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Basic.lean#L11-L17","name":"Lean.Meta.Linear.isLinearTerm","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Basic.html#Lean.Meta.Linear.isLinearTerm","doc":"Quick filter for linear terms. 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In order to change the type and the pattern to be type correct, we don't\nsimply recursively change all occurrences, but rather, we recursively change occurences of the constructor.\nAs such there are only a few cases:\n- the pattern is a constructor from the original type. Here we need to:\n - replace the constructor\n - copy original recursive patterns and convert them to below and reintroduce them in the correct position\n - turn original recursive patterns inaccessible\n - introduce free variables as needed.\n- it is an `as` pattern. Here the contstructor could be hidden inside of it.\n- it is a variable. 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`generalize` tactic takes arguments of the form `h : e = x` "},"Lean.Meta.FunInfoCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L201-L201","name":"Lean.Meta.FunInfoCache","line":201,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfoCache","doc":""},"Lean.Meta.FunInfo.resultDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L175-L175","name":"Lean.Meta.FunInfo.resultDeps","line":175,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfo.resultDeps","doc":"`resultDeps` contains the function result type backwards dependencies.\nThat is, the (0-indexed) position of parameters that the result type depends 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"},"Lean.Meta.FunInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.FunInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfo.mk","doc":""},"Lean.Meta.FunInfo.getArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/FunInfo.lean#L98-L99","name":"Lean.Meta.FunInfo.getArity","line":98,"kind":"def","docLink":"./Lean/Meta/FunInfo.html#Lean.Meta.FunInfo.getArity","doc":""},"Lean.Meta.FunInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L168-L175","name":"Lean.Meta.FunInfo","line":168,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfo","doc":"Function information cache. See `ParamInfo`.\n"},"Lean.Meta.FVarSubst.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L1-L1","name":"Lean.Meta.FVarSubst.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.mk","doc":""},"Lean.Meta.FVarSubst.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L19-L19","name":"Lean.Meta.FVarSubst.map","line":19,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.map","doc":""},"Lean.Meta.FVarSubst.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L26-L27","name":"Lean.Meta.FVarSubst.isEmpty","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.isEmpty","doc":""},"Lean.Meta.FVarSubst.insert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L33-L37","name":"Lean.Meta.FVarSubst.insert","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.insert","doc":"Add entry `fvarId |-> v` to `s` if `s` does not contain an entry for `fvarId`. 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We ignore implicit instance\narguments to address an issue reported at issue #972.\n\nRemark: the order is not really total on terms since\n - We instance implicit arguments.\n - We ignore metadata.\n - We ignore universe parameterst at constants.\n"},"Lean.Meta.EtaStructMode.notClasses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1213-L1214","name":"Lean.Meta.EtaStructMode.notClasses","line":1213,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.EtaStructMode.notClasses","doc":"Enable eta only for structures that are not classes. "},"Lean.Meta.EtaStructMode.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1215-L1216","name":"Lean.Meta.EtaStructMode.none","line":1215,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.EtaStructMode.none","doc":"Disable eta for structures and classes. 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`d`.\n"},"Lean.Meta.DiscrTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L100-L105","name":"Lean.Meta.DiscrTree.format","line":100,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.format","doc":""},"Lean.Meta.DiscrTree.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L91-L91","name":"Lean.Meta.DiscrTree.empty","line":91,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.empty","doc":""},"Lean.Meta.DiscrTree.Trie.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L41-L41","name":"Lean.Meta.DiscrTree.Trie.node","line":41,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie.node","doc":""},"Lean.Meta.DiscrTree.Trie.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L93-L96","name":"Lean.Meta.DiscrTree.Trie.format","line":93,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Trie.format","doc":""},"Lean.Meta.DiscrTree.Trie":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L40-L41","name":"Lean.Meta.DiscrTree.Trie","line":40,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie","doc":"Discrimination tree trie. See `DiscrTree`.\n"},"Lean.Meta.DiscrTree.Key.star":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L20-L20","name":"Lean.Meta.DiscrTree.Key.star","line":20,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.star","doc":""},"Lean.Meta.DiscrTree.Key.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L23-L23","name":"Lean.Meta.DiscrTree.Key.proj","line":23,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.proj","doc":""},"Lean.Meta.DiscrTree.Key.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L21-L21","name":"Lean.Meta.DiscrTree.Key.other","line":21,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.other","doc":""},"Lean.Meta.DiscrTree.Key.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L60-L65","name":"Lean.Meta.DiscrTree.Key.lt","line":60,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.lt","doc":""},"Lean.Meta.DiscrTree.Key.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L19-L19","name":"Lean.Meta.DiscrTree.Key.lit","line":19,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.lit","doc":""},"Lean.Meta.DiscrTree.Key.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L26-L33","name":"Lean.Meta.DiscrTree.Key.hash","line":26,"kind":"def","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.hash","doc":""},"Lean.Meta.DiscrTree.Key.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L18-L18","name":"Lean.Meta.DiscrTree.Key.fvar","line":18,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.fvar","doc":""},"Lean.Meta.DiscrTree.Key.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L70-L78","name":"Lean.Meta.DiscrTree.Key.format","line":70,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.format","doc":""},"Lean.Meta.DiscrTree.Key.ctorIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L51-L58","name":"Lean.Meta.DiscrTree.Key.ctorIdx","line":51,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.ctorIdx","doc":""},"Lean.Meta.DiscrTree.Key.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L17-L17","name":"Lean.Meta.DiscrTree.Key.const","line":17,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.const","doc":""},"Lean.Meta.DiscrTree.Key.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L22-L22","name":"Lean.Meta.DiscrTree.Key.arrow","line":22,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.arrow","doc":""},"Lean.Meta.DiscrTree.Key.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L82-L87","name":"Lean.Meta.DiscrTree.Key.arity","line":82,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.arity","doc":""},"Lean.Meta.DiscrTree.Key":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L16-L24","name":"Lean.Meta.DiscrTree.Key","line":16,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key","doc":"Discrimination tree key. See `DiscrTree`\n"},"Lean.Meta.DiscrTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L83-L84","name":"Lean.Meta.DiscrTree","line":83,"kind":"structure","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree","doc":"Discrimination trees. It is an index from terms to values of type `α`.\n\nIf `simpleReduce := true`, then only simple reduction are performed while\nindexing/retrieving terms. For example, `iota` reduction is not performed.\n\nWe use `simpleReduce := false` in the type class resolution module,\nand `simpleReduce := true` in `simp`.\n\nMotivations:\n- In `simp`, we want to have `simp` theorem such as\n```\n@[simp] theorem liftOn_mk (a : α) (f : α → γ) (h : ∀ a₁ a₂, r a₁ a₂ → f a₁ = f a₂) :\n Quot.liftOn (Quot.mk r a) f h = f a := rfl\n```\nIf we enable `iota`, then the lhs is reduced to `f a`.\n\n- During type class resolution, we often want to reduce types using even `iota`.\nExample:\n```\ninductive Ty where\n | int\n | bool\n\n@[reducible] def Ty.interp (ty : Ty) : Type :=\n Ty.casesOn (motive := fun _ => Type) ty Int Bool\n\ndef test {a b c : Ty} (f : a.interp → b.interp → c.interp) (x : a.interp) (y : b.interp) : c.interp :=\n f x y\n\ndef f (a b : Ty.bool.interp) : Ty.bool.interp :=\n -- We want to synthesize `BEq Ty.bool.interp` here, and it will fail\n -- if we do not reduce `Ty.bool.interp` to `Bool`.\n test (.==.) a b\n```\n"},"Lean.Meta.DefaultInstances.priorities":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L238-L238","name":"Lean.Meta.DefaultInstances.priorities","line":238,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.priorities","doc":""},"Lean.Meta.DefaultInstances.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstances.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.mk","doc":""},"Lean.Meta.DefaultInstances.defaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L237-L237","name":"Lean.Meta.DefaultInstances.defaultInstances","line":237,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.defaultInstances","doc":""},"Lean.Meta.DefaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L236-L239","name":"Lean.Meta.DefaultInstances","line":236,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances","doc":""},"Lean.Meta.DefaultInstanceEntry.priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L232-L232","name":"Lean.Meta.DefaultInstanceEntry.priority","line":232,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.priority","doc":""},"Lean.Meta.DefaultInstanceEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstanceEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.mk","doc":""},"Lean.Meta.DefaultInstanceEntry.instanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L231-L231","name":"Lean.Meta.DefaultInstanceEntry.instanceName","line":231,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.instanceName","doc":""},"Lean.Meta.DefaultInstanceEntry.className":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L230-L230","name":"Lean.Meta.DefaultInstanceEntry.className","line":230,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.className","doc":""},"Lean.Meta.DefaultInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L229-L232","name":"Lean.Meta.DefaultInstanceEntry","line":229,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry","doc":""},"Lean.Meta.DefEqContext.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L228-L228","name":"Lean.Meta.DefEqContext.rhs","line":228,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.rhs","doc":""},"Lean.Meta.DefEqContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.DefEqContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.mk","doc":""},"Lean.Meta.DefEqContext.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L230-L230","name":"Lean.Meta.DefEqContext.localInstances","line":230,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.localInstances","doc":""},"Lean.Meta.DefEqContext.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L227-L227","name":"Lean.Meta.DefEqContext.lhs","line":227,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lhs","doc":""},"Lean.Meta.DefEqContext.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L229-L229","name":"Lean.Meta.DefEqContext.lctx","line":229,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lctx","doc":""},"Lean.Meta.DefEqContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L226-L230","name":"Lean.Meta.DefEqContext","line":226,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext","doc":"\"Context\" for a postponed universe constraint.\n`lhs` and `rhs` are the surrounding `isDefEq` call when the postponed constraint was created.\n"},"Lean.Meta.DefEqCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L208-L208","name":"Lean.Meta.DefEqCache","line":208,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqCache","doc":"A mapping `(s, t) ↦ isDefEq s t`.\nTODO: consider more efficient representations (e.g., a proper set) and caching policies (e.g., imperfect cache).\nWe should also investigate the impact on memory consumption. "},"Lean.Meta.DefEqArgsFirstPassResult.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L182-L208","name":"Lean.Meta.DefEqArgsFirstPassResult.ok","line":182,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.ok","doc":"Succeeded. The array `postponedImplicit` contains the position\nof the implicit arguments for which def-eq has been postponed.\n`postponedHO` contains the higher order output parameters, and parameters\nthat depend on them. They should be processed after the implict ones.\n`postponedHO` is used to handle applications involving functions that\ncontain higher order output parameters. Example:\n```lean\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → (h : dom xs i) → elem\n```\nThe argumengs `dom` and `h` must be processed after all implicit arguments\notherwise higher-order unification problems are generated. See issue #1299,\nwhen trying to solve\n```\ngetElem ?a ?i ?h =?= getElem a i (Fin.val_lt_of_le i ...)\n```\nwe have to solve the constraint\n```\n?dom a i.val =?= LT.lt i.val (Array.size a)\n```\nby solving after the instance has been synthesized, we reduce this constraint to\na simple check.\n"},"Lean.Meta.DefEqArgsFirstPassResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L176-L181","name":"Lean.Meta.DefEqArgsFirstPassResult.failed","line":176,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.failed","doc":"Failed to establish that explicit arguments are def-eq.\nRemark: higher output parameters, and parameters that depend on them\nare postponed.\n"},"Lean.Meta.DefEqArgsFirstPassResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L175-L208","name":"Lean.Meta.DefEqArgsFirstPassResult","line":175,"kind":"inductive","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult","doc":"Result type for `isDefEqArgsFirstPass`.\n"},"Lean.Meta.DecLevelContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L1-L1","name":"Lean.Meta.DecLevelContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.mk","doc":""},"Lean.Meta.DecLevelContext.canAssignMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L16-L16","name":"Lean.Meta.DecLevelContext.canAssignMVars","line":16,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.canAssignMVars","doc":"If `true`, then `decAux? ?m` returns a fresh metavariable `?n` s.t.\n`?m := ?n+1`.\n"},"Lean.Meta.DecLevelContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L11-L16","name":"Lean.Meta.DecLevelContext","line":11,"kind":"structure","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext","doc":""},"Lean.Meta.DSimp.instReprConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instReprConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instReprConfig","doc":""},"Lean.Meta.DSimp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instInhabitedConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instInhabitedConfig","doc":""},"Lean.Meta.DSimp.instBEqConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instBEqConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instBEqConfig","doc":""},"Lean.Meta.DSimp.Config.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1222-L1222","name":"Lean.Meta.DSimp.Config.zeta","line":1222,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.zeta","doc":""},"Lean.Meta.DSimp.Config.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1227-L1227","name":"Lean.Meta.DSimp.Config.proj","line":1227,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.proj","doc":""},"Lean.Meta.DSimp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1-L1","name":"Lean.Meta.DSimp.Config.mk","line":1,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.mk","doc":""},"Lean.Meta.DSimp.Config.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1226-L1226","name":"Lean.Meta.DSimp.Config.iota","line":1226,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.iota","doc":""},"Lean.Meta.DSimp.Config.failIfUnchanged":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1232-L1232","name":"Lean.Meta.DSimp.Config.failIfUnchanged","line":1232,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.failIfUnchanged","doc":"If `failIfUnchanged := true`, then calls to `simp`, `dsimp`, or `simp_all`\nwill fail if they do not make progress. "},"Lean.Meta.DSimp.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1225-L1225","name":"Lean.Meta.DSimp.Config.etaStruct","line":1225,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.etaStruct","doc":""},"Lean.Meta.DSimp.Config.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1224-L1224","name":"Lean.Meta.DSimp.Config.eta","line":1224,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.eta","doc":""},"Lean.Meta.DSimp.Config.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1228-L1228","name":"Lean.Meta.DSimp.Config.decide","line":1228,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.decide","doc":""},"Lean.Meta.DSimp.Config.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1223-L1223","name":"Lean.Meta.DSimp.Config.beta","line":1223,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.beta","doc":""},"Lean.Meta.DSimp.Config.autoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1229-L1229","name":"Lean.Meta.DSimp.Config.autoUnfold","line":1229,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.autoUnfold","doc":""},"Lean.Meta.DSimp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1221-L1233","name":"Lean.Meta.DSimp.Config","line":1221,"kind":"structure","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config","doc":""},"Lean.Meta.CustomEliminators.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminators.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.mk","doc":""},"Lean.Meta.CustomEliminators.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L101-L101","name":"Lean.Meta.CustomEliminators.map","line":101,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.map","doc":""},"Lean.Meta.CustomEliminators":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L100-L102","name":"Lean.Meta.CustomEliminators","line":100,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators","doc":""},"Lean.Meta.CustomEliminator.typeNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L96-L96","name":"Lean.Meta.CustomEliminator.typeNames","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.typeNames","doc":""},"Lean.Meta.CustomEliminator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminator.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.mk","doc":""},"Lean.Meta.CustomEliminator.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L97-L97","name":"Lean.Meta.CustomEliminator.elimInfo","line":97,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.elimInfo","doc":""},"Lean.Meta.CustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L95-L98","name":"Lean.Meta.CustomEliminator","line":95,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator","doc":""},"Lean.Meta.Contradiction.Config.useDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L14-L14","name":"Lean.Meta.Contradiction.Config.useDecide","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.useDecide","doc":""},"Lean.Meta.Contradiction.Config.searchFuel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L18-L18","name":"Lean.Meta.Contradiction.Config.searchFuel","line":18,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.searchFuel","doc":"When checking for empty types, `searchFuel` specifies the number of goals visited. "},"Lean.Meta.Contradiction.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L1-L1","name":"Lean.Meta.Contradiction.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.mk","doc":""},"Lean.Meta.Contradiction.Config.genDiseq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L24-L24","name":"Lean.Meta.Contradiction.Config.genDiseq","line":24,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.genDiseq","doc":"Support for hypotheses such as\n```\nh : (x y : Nat) (ys : List Nat) → x = 0 → y::ys = [a, b, c] → False\n```\nThis kind of hypotheses appear when proving conditional equation theorems for match expressions. "},"Lean.Meta.Contradiction.Config.emptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L16-L16","name":"Lean.Meta.Contradiction.Config.emptyType","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.emptyType","doc":"Check whether any of the hypotheses is an empty type. "},"Lean.Meta.Contradiction.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L13-L24","name":"Lean.Meta.Contradiction.Config","line":13,"kind":"structure","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config","doc":""},"Lean.Meta.Context.synthPendingDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L283-L283","name":"Lean.Meta.Context.synthPendingDepth","line":283,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.synthPendingDepth","doc":"Track the number of nested `synthPending` invocations. Nested invocations can happen\nwhen the type class resolution invokes `synthPending`.\n\nRemark: in the current implementation, `synthPending` fails if `synthPendingDepth > 0`.\nWe will add a configuration option if necessary. "},"Lean.Meta.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.mk","doc":""},"Lean.Meta.Context.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L274-L274","name":"Lean.Meta.Context.localInstances","line":274,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.localInstances","doc":"Local instances in `lctx`. "},"Lean.Meta.Context.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L272-L272","name":"Lean.Meta.Context.lctx","line":272,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.lctx","doc":"Local context "},"Lean.Meta.Context.defEqCtx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L276-L276","name":"Lean.Meta.Context.defEqCtx?","line":276,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.defEqCtx?","doc":"Not `none` when inside of an `isDefEq` test. See `PostponedEntry`. "},"Lean.Meta.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L270-L270","name":"Lean.Meta.Context.config","line":270,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.config","doc":""},"Lean.Meta.Context.canUnfold?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L287-L287","name":"Lean.Meta.Context.canUnfold?","line":287,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.canUnfold?","doc":"A predicate to control whether a constant can be unfolded or not at `whnf`.\nNote that we do not cache results at `whnf` when `canUnfold?` is not `none`. "},"Lean.Meta.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L269-L287","name":"Lean.Meta.Context","line":269,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context","doc":"Contextual information for the `MetaM` monad.\n"},"Lean.Meta.CongrTheorem.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L37-L37","name":"Lean.Meta.CongrTheorem.type","line":37,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.type","doc":""},"Lean.Meta.CongrTheorem.proof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L38-L38","name":"Lean.Meta.CongrTheorem.proof","line":38,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.proof","doc":""},"Lean.Meta.CongrTheorem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L1-L1","name":"Lean.Meta.CongrTheorem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.mk","doc":""},"Lean.Meta.CongrTheorem.argKinds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L39-L39","name":"Lean.Meta.CongrTheorem.argKinds","line":39,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.argKinds","doc":""},"Lean.Meta.CongrTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L36-L39","name":"Lean.Meta.CongrTheorem","line":36,"kind":"structure","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem","doc":""},"Lean.Meta.CongrArgKind.subsingletonInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L30-L33","name":"Lean.Meta.CongrArgKind.subsingletonInst","line":30,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.subsingletonInst","doc":"For congr-simp theorems only. Indicates a decidable instance argument.\nThe lemma contains two arguments [a_i : Decidable ...] [b_i : Decidable ...] "},"Lean.Meta.CongrArgKind.heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L26-L29","name":"Lean.Meta.CongrArgKind.heq","line":26,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.heq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : HEq a_i b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their heterogeneous equality. "},"Lean.Meta.CongrArgKind.fixedNoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L14-L17","name":"Lean.Meta.CongrArgKind.fixedNoParam","line":14,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixedNoParam","doc":"It is not a parameter for the congruence theorem, the theorem was specialized for this parameter.\nThis only happens if the parameter is a subsingleton/proposition, and other parameters depend on it. "},"Lean.Meta.CongrArgKind.fixed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L12-L13","name":"Lean.Meta.CongrArgKind.fixed","line":12,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixed","doc":"It is a parameter for the congruence theorem, the parameter occurs in the left and right hand sides. "},"Lean.Meta.CongrArgKind.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L18-L21","name":"Lean.Meta.CongrArgKind.eq","line":18,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.eq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : a_i = b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their equality. "},"Lean.Meta.CongrArgKind.cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L22-L25","name":"Lean.Meta.CongrArgKind.cast","line":22,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.cast","doc":"The congr-simp theorems contains only one parameter for this kind of argument, and congr theorems contains two.\nThey correspond to arguments that are subsingletons/propositions. "},"Lean.Meta.CongrArgKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L11-L34","name":"Lean.Meta.CongrArgKind","line":11,"kind":"inductive","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind","doc":""},"Lean.Meta.Config.zetaNonDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L86-L86","name":"Lean.Meta.Config.zetaNonDep","line":86,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.zetaNonDep","doc":"If zetaNonDep == false, then non dependent let-decls are not zeta expanded. "},"Lean.Meta.Config.unificationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L90-L90","name":"Lean.Meta.Config.unificationHints","line":90,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.unificationHints","doc":"Enable/disable the unification hints feature. "},"Lean.Meta.Config.transparency":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L84-L84","name":"Lean.Meta.Config.transparency","line":84,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.transparency","doc":"Controls which definitions and theorems can be unfolded by `isDefEq` and `whnf`.\n"},"Lean.Meta.Config.trackZeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L88-L88","name":"Lean.Meta.Config.trackZeta","line":88,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.trackZeta","doc":"When `trackZeta == true`, we store zetaFVarIds all free variables that have been zeta-expanded. "},"Lean.Meta.Config.quasiPatternApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L66-L66","name":"Lean.Meta.Config.quasiPatternApprox","line":66,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.quasiPatternApprox","doc":"When `quasiPatternApprox` is set to true, we ignore condition 2.\n"},"Lean.Meta.Config.proofIrrelevance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L92-L92","name":"Lean.Meta.Config.proofIrrelevance","line":92,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.proofIrrelevance","doc":"Enables proof irrelevance at `isDefEq` "},"Lean.Meta.Config.offsetCnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L101-L101","name":"Lean.Meta.Config.offsetCnstrs","line":101,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.offsetCnstrs","doc":"Enable/Disable support for offset constraints such as `?x + 1 =?= e` "},"Lean.Meta.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.mk","doc":""},"Lean.Meta.Config.isDefEqStuckEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L80-L80","name":"Lean.Meta.Config.isDefEqStuckEx","line":80,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.isDefEqStuckEx","doc":"When the following flag is set,\n`isDefEq` throws the exeption `Exeption.isDefEqStuck`\nwhenever it encounters a constraint `?m ... =?= t` where\n`?m` is read only.\nThis feature is useful for type class resolution where\nwe may want to notify the caller that the TC problem may be solveable\nlater after it assigns `?m`. "},"Lean.Meta.Config.foApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L57-L57","name":"Lean.Meta.Config.foApprox","line":57,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.foApprox","doc":"If `foApprox` is set to true, and some `aᵢ` is not a free variable,\nthen we use first-order unification\n```\n ?m a_1 ... a_i a_{i+1} ... a_{i+k} =?= f b_1 ... b_k\n```\nreduces to\n```\n ?m a_1 ... a_i =?= f\n a_{i+1} =?= b_1\n ...\n a_{i+k} =?= b_k\n```\n"},"Lean.Meta.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L103-L103","name":"Lean.Meta.Config.etaStruct","line":103,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.etaStruct","doc":"Eta for structures configuration mode. 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"},"Lean.Meta.CasesOnApp.addArg.updateAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CasesOn.lean#L84-L107","name":"Lean.Meta.CasesOnApp.addArg.updateAlts","line":84,"kind":"def","docLink":"./Lean/Meta/CasesOn.html#Lean.Meta.CasesOnApp.addArg.updateAlts","doc":""},"Lean.Meta.CasesOnApp.addArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CasesOn.lean#L61-L107","name":"Lean.Meta.CasesOnApp.addArg","line":61,"kind":"def","docLink":"./Lean/Meta/CasesOn.html#Lean.Meta.CasesOnApp.addArg","doc":"Given a `casesOn` application `c` of the form\n```\ncasesOn As (fun is x => motive[i, xs]) is major (fun ys_1 => (alt_1 : motive (C_1[ys_1])) ... 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"},"Lean.Meta.AuxLemmas.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L1-L1","name":"Lean.Meta.AuxLemmas.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas.mk","doc":""},"Lean.Meta.AuxLemmas.lemmas":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L12-L12","name":"Lean.Meta.AuxLemmas.lemmas","line":12,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas.lemmas","doc":""},"Lean.Meta.AuxLemmas.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L11-L11","name":"Lean.Meta.AuxLemmas.idx","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas.idx","doc":""},"Lean.Meta.AuxLemmas":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L10-L13","name":"Lean.Meta.AuxLemmas","line":10,"kind":"structure","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas","doc":""},"Lean.Meta.Attribute.Recursor.getMajorPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/RecursorInfo.lean#L243-L250","name":"Lean.Meta.Attribute.Recursor.getMajorPos","line":243,"kind":"def","docLink":"./Lean/Meta/RecursorInfo.html#Lean.Meta.Attribute.Recursor.getMajorPos","doc":""},"Lean.Meta.AssertAfterResult.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L69-L69","name":"Lean.Meta.AssertAfterResult.subst","line":69,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.subst","doc":""},"Lean.Meta.AssertAfterResult.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L68-L68","name":"Lean.Meta.AssertAfterResult.mvarId","line":68,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.mvarId","doc":""},"Lean.Meta.AssertAfterResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L1-L1","name":"Lean.Meta.AssertAfterResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.mk","doc":""},"Lean.Meta.AssertAfterResult.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L67-L67","name":"Lean.Meta.AssertAfterResult.fvarId","line":67,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.fvarId","doc":""},"Lean.Meta.AssertAfterResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L66-L69","name":"Lean.Meta.AssertAfterResult","line":66,"kind":"structure","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult","doc":""},"Lean.Meta.ApplyNewGoals.nonDependentOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L18-L18","name":"Lean.Meta.ApplyNewGoals.nonDependentOnly","line":18,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals.nonDependentOnly","doc":""},"Lean.Meta.ApplyNewGoals.nonDependentFirst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L18-L18","name":"Lean.Meta.ApplyNewGoals.nonDependentFirst","line":18,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals.nonDependentFirst","doc":""},"Lean.Meta.ApplyNewGoals.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L18-L18","name":"Lean.Meta.ApplyNewGoals.all","line":18,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals.all","doc":""},"Lean.Meta.ApplyNewGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L17-L18","name":"Lean.Meta.ApplyNewGoals","line":17,"kind":"inductive","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals","doc":"Controls which new mvars are turned in to goals by the `apply` tactic.\n- `nonDependentFirst` mvars that don't depend on other goals appear first in the goal list.\n- `nonDependentOnly` only mvars that don't depend on other goals are added to goal list.\n- `all` all unassigned mvars are added to the goal list.\n"},"Lean.Meta.ApplyConfig.synthAssignedInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L28-L28","name":"Lean.Meta.ApplyConfig.synthAssignedInstances","line":28,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.synthAssignedInstances","doc":"If `synthAssignedInstances` is `true`, then `apply` will synthesize instance implicit arguments\neven if they have assigned by `isDefEq`, and then check whether the synthesized value matches the\none inferred. The `congr` tactic sets this flag to false.\n"},"Lean.Meta.ApplyConfig.newGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L22-L22","name":"Lean.Meta.ApplyConfig.newGoals","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.newGoals","doc":""},"Lean.Meta.ApplyConfig.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L1-L1","name":"Lean.Meta.ApplyConfig.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.mk","doc":""},"Lean.Meta.ApplyConfig.approx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L38-L38","name":"Lean.Meta.ApplyConfig.approx","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.approx","doc":"If `approx := true`, then we turn on `isDefEq` approximations. That is, we use\nthe `approxDefEq` combinator.\n"},"Lean.Meta.ApplyConfig.allowSynthFailures":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L33-L33","name":"Lean.Meta.ApplyConfig.allowSynthFailures","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.allowSynthFailures","doc":"If `allowSynthFailures` is `true`, then `apply` will return instance implicit arguments\nfor which typeclass search failed as new goals.\n"},"Lean.Meta.ApplyConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L21-L38","name":"Lean.Meta.ApplyConfig","line":21,"kind":"structure","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig","doc":"Configures the behaviour of the `apply` tactic. 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AC-compatible ordering.\n\nRecall that an AC-compatible ordering if it is monotonic, well-founded, and total.\nBoth KBO and LPO are AC-compatible. 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"},"Lean.Macro.expandMacro?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4471-L4472","name":"Lean.Macro.expandMacro?","line":4471,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.expandMacro?","doc":"`expandMacro? stx` returns `some stxNew` if `stx` is a macro,\nand `stxNew` is its expansion.\n"},"Lean.Macro.addMacroScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4392-L4394","name":"Lean.Macro.addMacroScope","line":4392,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.addMacroScope","doc":"Add a new macro scope to the name `n`. 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"},"Lean.Macro.Exception":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4347-L4353","name":"Lean.Macro.Exception","line":4347,"kind":"inductive","docLink":"./Init/Prelude.html#Lean.Macro.Exception","doc":"An exception in the `MacroM` monad. "},"Lean.Macro.Context.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4344-L4344","name":"Lean.Macro.Context.ref","line":4344,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.Context.ref","doc":"The syntax which supplies the position of error messages. 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"},"Lean.MVarId.tryClearMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L55-L56","name":"Lean.MVarId.tryClearMany","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClearMany","doc":"Try to erase the given free variables from the goal `mvarId`.\n"},"Lean.MVarId.tryClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L45-L46","name":"Lean.MVarId.tryClear","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClear","doc":"Try to erase the given free variable from the goal `mvarId`. It is no-op if the free variable\ncannot be erased due to forward dependencies.\n"},"Lean.MVarId.substEqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L293-L297","name":"Lean.MVarId.substEqs","line":293,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.substEqs","doc":"Applies `cases` to any hypothesis of the form `h : r = s`.\n"},"Lean.MVarId.splitAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L217-L218","name":"Lean.MVarId.splitAnd","line":217,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.splitAnd","doc":"Apply `And.intro` as much as possible to goal `mvarId`.\n"},"Lean.MVarId.setUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L619-L620","name":"Lean.MVarId.setUserName","line":619,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setUserName","doc":"Set the user-facing name for the given metavariable.\n"},"Lean.MVarId.setType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L560-L561","name":"Lean.MVarId.setType","line":560,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setType","doc":"Update the type of the given metavariable. This function assumes the new type is\ndefinitionally equal to the current one "},"Lean.MVarId.setTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L21-L22","name":"Lean.MVarId.setTag","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.setTag","doc":""},"Lean.MVarId.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L551-L552","name":"Lean.MVarId.setKind","line":551,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setKind","doc":"Set `mvarId` kind in the current metavariable context.\n"},"Lean.MVarId.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Rewrite.lean#L22-L68","name":"Lean.MVarId.rewrite","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Rewrite.html#Lean.MVarId.rewrite","doc":"Rewrite goal `mvarId`\n"},"Lean.MVarId.revertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Revert.lean#L49-L53","name":"Lean.MVarId.revertAfter","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revertAfter","doc":"Reverts all local declarations after `fvarId`. "},"Lean.MVarId.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Revert.lean#L13-L46","name":"Lean.MVarId.revert","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revert","doc":"Revert free variables `fvarIds` at goal `mvarId`.\n"},"Lean.MVarId.replaceTargetEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L20-L31","name":"Lean.MVarId.replaceTargetEq","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew` using an equality proof `eqProof : target = targetNew`.\nIt assumes `eqProof` has type `target = targetNew` "},"Lean.MVarId.replaceTargetDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L44-L55","name":"Lean.MVarId.replaceTargetDefEq","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetDefEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew`. It assumes the goals are definitionally equal.\nWe use the proof term\n```\n@id target mvarNew\n```\nto create a checkpoint. "},"Lean.MVarId.replaceLocalDeclDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L100-L109","name":"Lean.MVarId.replaceLocalDeclDefEq","line":100,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDeclDefEq","doc":"Replace the type of `fvarId` at `mvarId` with `typeNew`.\nRemark: this method assumes that `typeNew` is definitionally equal to the current type of `fvarId`.\n"},"Lean.MVarId.replaceLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L89-L90","name":"Lean.MVarId.replaceLocalDecl","line":89,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDecl","doc":"Replace type of the local declaration with id `fvarId` with one with the same user-facing name, but with type `typeNew`.\nThis method assumes `eqProof` is a proof that type of `fvarId` is equal to `typeNew`.\nThis tactic actually adds a new declaration and (try to) clear the old one.\nIf the old one cannot be cleared, then at least its user-facing name becomes inaccessible.\nRemark: the new declaration is added immediately after `fvarId`.\n`typeNew` must be well-formed at `fvarId`, but `eqProof` may contain variables declared after `fvarId`. "},"Lean.MVarId.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Rename.lean#L13-L18","name":"Lean.MVarId.rename","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Rename.html#Lean.MVarId.rename","doc":"Rename the user-face naming for the free variable `fvarId` at `mvarId`.\n"},"Lean.MVarId.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L21-L37","name":"Lean.MVarId.refl","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.refl","doc":"Close given goal using `Eq.refl`.\n"},"Lean.MVarId.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L262-L262","name":"Lean.MVarId.name","line":262,"kind":"def","docLink":"./Lean/Expr.html#Lean.MVarId.name","doc":""},"Lean.MVarId.modifyTargetEqLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L175-L180","name":"Lean.MVarId.modifyTargetEqLHS","line":175,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTargetEqLHS","doc":"Modify `mvarId` target type left-hand-side using `f`.\nThrow an error if target type is not an equality.\n"},"Lean.MVarId.modifyTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L162-L165","name":"Lean.MVarId.modifyTarget","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTarget","doc":"Modify `mvarId` target type using `f`.\n"},"Lean.MVarId.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1-L1","name":"Lean.MVarId.mk","line":1,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.MVarId.mk","doc":""},"Lean.MVarId.isReadOnlyOrSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L583-L587","name":"Lean.MVarId.isReadOnlyOrSyntheticOpaque","line":583,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnlyOrSyntheticOpaque","doc":"Return true if `mvarId.isReadOnly` return true or if `mvarId` is a synthetic opaque metavariable.\n\nRecall `isDefEq` will not assign a value to `mvarId` if `mvarId.isReadOnlyOrSyntheticOpaque`.\n"},"Lean.MVarId.isReadOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L571-L572","name":"Lean.MVarId.isReadOnly","line":571,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnly","doc":"Return true if the given metavariable is \"read-only\".\nThat is, its `depth` is different from the current metavariable context depth.\n"},"Lean.MVarId.isDelayedAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L382-L383","name":"Lean.MVarId.isDelayedAssigned","line":382,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isDelayedAssigned","doc":""},"Lean.MVarId.isAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L375-L376","name":"Lean.MVarId.isAssigned","line":375,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssigned","doc":"Return `true` if the give metavariable is already assigned. "},"Lean.MVarId.isAssignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L400-L403","name":"Lean.MVarId.isAssignable","line":400,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssignable","doc":""},"Lean.MVarId.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L181-L188","name":"Lean.MVarId.intros","line":181,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intros","doc":"Introduce as many binders as possible without unfolding definitions.\n"},"Lean.MVarId.introNP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L128-L129","name":"Lean.MVarId.introNP","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introNP","doc":"Introduce `n` binders in the goal `mvarId`. The new hypotheses are named using the binder names.\nThe suffix `P` stands for \"preserving`.\n"},"Lean.MVarId.introN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L117-L118","name":"Lean.MVarId.introN","line":117,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introN","doc":"Introduce `n` binders in the goal `mvarId`.\n"},"Lean.MVarId.intro1P":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L165-L166","name":"Lean.MVarId.intro1P","line":165,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1P","doc":"Introduce one object from the goal `mvarid`, preserving the name used in the binder.\nReturns a pair made of the newly introduced variable and the new goal.\nThis will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L154-L155","name":"Lean.MVarId.intro1","line":154,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1","doc":"Introduce one object from the goal `mvarid`, without preserving the name used in the binder.\nReturns a pair made of the newly introduced variable (which will have an inaccessible name)\nand the new goal. This will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L138-L140","name":"Lean.MVarId.intro","line":138,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro","doc":"Introduce one binder using `name` as the the new hypothesis name.\n"},"Lean.MVarId.inferInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L157-L161","name":"Lean.MVarId.inferInstance","line":157,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.inferInstance","doc":""},"Lean.MVarId.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Induction.lean#L125-L207","name":"Lean.MVarId.induction","line":125,"kind":"def","docLink":"./Lean/Meta/Tactic/Induction.html#Lean.MVarId.induction","doc":""},"Lean.MVarId.hrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L66-L69","name":"Lean.MVarId.hrefl","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.hrefl","doc":"Close given goal using `HEq.refl`.\n"},"Lean.MVarId.heqOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L50-L53","name":"Lean.MVarId.heqOfEq","line":50,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.heqOfEq","doc":"Try to apply `heq_of_eq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.headBetaType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L88-L89","name":"Lean.MVarId.headBetaType","line":88,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.headBetaType","doc":"Beta reduce the metavariable type head "},"Lean.MVarId.hcongr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L55-L65","name":"Lean.MVarId.hcongr?","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.hcongr?","doc":"Try to apply a `hcongr` congruence theorem, and then tries to close resulting goals\nusing `Eq.refl`, `HEq.refl`, and assumption.\n"},"Lean.MVarId.getType'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L66-L67","name":"Lean.MVarId.getType'","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType'","doc":"Get the type the given metavariable after instantiating metavariables and reducing to\nweak head normal form. "},"Lean.MVarId.getType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L57-L58","name":"Lean.MVarId.getType","line":57,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType","doc":"Get the type the given metavariable. "},"Lean.MVarId.getTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L14-L15","name":"Lean.MVarId.getTag","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getTag","doc":"Get the user name of the given metavariable. "},"Lean.MVarId.getNondepPropHyps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L96-L121","name":"Lean.MVarId.getNondepPropHyps","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getNondepPropHyps","doc":"Collect nondependent hypotheses that are propositions. "},"Lean.MVarId.getKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L534-L535","name":"Lean.MVarId.getKind","line":534,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getKind","doc":"Return `mvarId` kind. Throw an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.getDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L522-L525","name":"Lean.MVarId.getDecl","line":522,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getDecl","doc":"Return `mvarId` declaration in the current metavariable context.\nThrow an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.generalizeHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Generalize.lean#L86-L103","name":"Lean.MVarId.generalizeHyp","line":86,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalizeHyp","doc":"Extension of `generalize` to support generalizing within specified hypotheses.\nThe `hyps` array contains the list of hypotheses within which to look for occurrences\nof the generalizing expressions.\n"},"Lean.MVarId.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Generalize.lean#L74-L75","name":"Lean.MVarId.generalize","line":74,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalize","doc":"Telescopic `generalize` tactic. It can simultaneously generalize many terms.\nIt uses `kabstract` to occurrences of the terms that need to be generalized.\n"},"Lean.MVarId.findDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L511-L512","name":"Lean.MVarId.findDecl?","line":511,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.findDecl?","doc":"Return `some mvarDecl` where `mvarDecl` is `mvarId` declaration in the current metavariable context.\nReturn `none` if `mvarId` has no declaration in the current metavariable context.\n"},"Lean.MVarId.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L34-L50","name":"Lean.MVarId.existsIntro","line":34,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.existsIntro","doc":""},"Lean.MVarId.exfalso":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L224-L231","name":"Lean.MVarId.exfalso","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.exfalso","doc":""},"Lean.MVarId.eqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L58-L61","name":"Lean.MVarId.eqOfHEq","line":58,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.eqOfHEq","doc":"Try to apply `eq_of_heq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L29-L32","name":"Lean.MVarId.deltaTarget","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaTarget","doc":"Delta expand declarations that satisfy `p` at `mvarId` type.\n"},"Lean.MVarId.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L41-L44","name":"Lean.MVarId.deltaLocalDecl","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaLocalDecl","doc":"Delta expand declarations that satisfy `p` at `fvarId` type.\n"},"Lean.MVarId.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L32-L40","name":"Lean.MVarId.define","line":32,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.define","doc":"Convert the given goal `Ctx |- target` into `Ctx |- let name : type := val; target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.contradictionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L152-L211","name":"Lean.MVarId.contradictionCore","line":152,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradictionCore","doc":"Return `true` if goal `mvarId` has contradictory hypotheses.\nSee `MVarId.contradiction` for the list of tests performed by this method.\n"},"Lean.MVarId.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L224-L226","name":"Lean.MVarId.contradiction","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradiction","doc":"Try to close the goal using \"contradictions\" such as\n- Contradictory hypotheses `h₁ : p` and `h₂ : ¬ p`.\n- Contradictory disequality `h : x ≠ x`.\n- Contradictory equality between different constructors, e.g., `h : List.nil = List.cons x xs`.\n- Empty inductive types, e.g., `x : Fin 0`.\n- Decidable propositions that evaluate to false, i.e., a hypothesis `h : p` s.t. `decide p` reduces to `false`.\n This is only tried if `Config.useDecide = true`.\n\nThrow exception if goal failed to be closed.\n"},"Lean.MVarId.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L16-L28","name":"Lean.MVarId.constructor","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.constructor","doc":"When the goal `mvarId` type is an inductive datatype,\n`constructor` calls `apply` with the first matching constructor.\n"},"Lean.MVarId.congrPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L21-L26","name":"Lean.MVarId.congrPre","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrPre","doc":"Preprocessor before applying congruence theorem.\nTries to close new goals using `Eq.refl`, `HEq.refl`, and `assumption`.\nIt also tries to apply `heq_of_eq`.\n"},"Lean.MVarId.congrN.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L103-L108","name":"Lean.MVarId.congrN.post","line":103,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.post","doc":""},"Lean.MVarId.congrN.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L110-L117","name":"Lean.MVarId.congrN.go","line":110,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.go","doc":""},"Lean.MVarId.congrN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L99-L117","name":"Lean.MVarId.congrN","line":99,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n\n* Applies `congr` recursively up to depth `depth`.\n* If `closePre := true`, it will attempt to close new goals\n using `Eq.refl`, `HEq.refl`, and `assumption` with reducible transparency.\n* If `closePost := true`, it will try again on goals on which `congr` failed to make progress\n with default transparency.\n"},"Lean.MVarId.congrImplies?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L70-L73","name":"Lean.MVarId.congrImplies?","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrImplies?","doc":"Try to apply `implies_congr`.\n"},"Lean.MVarId.congrCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L79-L87","name":"Lean.MVarId.congrCore","line":79,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrCore","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n"},"Lean.MVarId.congr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L41-L49","name":"Lean.MVarId.congr?","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congr?","doc":"Try to apply a `simp` congruence theorem.\n"},"Lean.MVarId.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L13-L34","name":"Lean.MVarId.clear","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.clear","doc":"Erase the given free variable from the goal `mvarId`.\n"},"Lean.MVarId.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cleanup.lean#L66-L67","name":"Lean.MVarId.cleanup","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.MVarId.cleanup","doc":"Auxiliary tactic for cleaning the local context. It removes local declarations (aka hypotheses) that are *not* relevant.\nWe say a variable `x` is \"relevant\" if\n- It occurs in the target type, or\n- There is a relevant variable `y` that depends on `x`, or\n- The type of `x` is a proposition and it depends on a relevant variable `y`.\n"},"Lean.MVarId.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L48-L50","name":"Lean.MVarId.checkNotAssigned","line":48,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.checkNotAssigned","doc":"Throw a tactic exception with given tactic name if the given metavariable is assigned. "},"Lean.MVarId.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L136-L153","name":"Lean.MVarId.changeLocalDecl","line":136,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.changeLocalDecl","doc":"Replace the type of the free variable `fvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to `fvarId` type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to `fvarId` type.\n"},"Lean.MVarId.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L120-L125","name":"Lean.MVarId.change","line":120,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.change","doc":"Replace the target type of `mvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to the current target type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to the current target type.\n"},"Lean.MVarId.casesRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L271-L281","name":"Lean.MVarId.casesRec","line":271,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesRec","doc":"Keep applying `cases` on any hypothesis that satisfies `p`.\n"},"Lean.MVarId.casesAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L286-L288","name":"Lean.MVarId.casesAnd","line":286,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesAnd","doc":"Applies `cases` (recursively) to any hypothesis of the form `h : p ∧ q`.\n"},"Lean.MVarId.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L261-L262","name":"Lean.MVarId.cases","line":261,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.cases","doc":"Apply `casesOn` using the free variable `majorFVarId` as the major premise (aka discriminant).\n`givenNames` contains user-facing names for each alternative.\n"},"Lean.MVarId.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L311-L316","name":"Lean.MVarId.byCases","line":311,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.byCases","doc":"Split the goal in two subgoals: one containing the hypothesis `h : p` and another containing `h : ¬ p`.\n"},"Lean.MVarId.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L21-L26","name":"Lean.MVarId.assumptionCore","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumptionCore","doc":"Return `true` if managed to close goal `mvarId` using an assumption. "},"Lean.MVarId.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L33-L35","name":"Lean.MVarId.assumption","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumption","doc":"Close goal `mvarId` using an assumption. Throw error message if failed. "},"Lean.MVarId.assign":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L472-L473","name":"Lean.MVarId.assign","line":472,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.assign","doc":"Add `mvarId := x` to the metavariable assignment.\nThis method does not check whether `mvarId` is already assigned, nor it checks whether\na cycle is being introduced, or whether the expression has the right type.\nThis is a low-level API, and it is safer to use `isDefEq (mkMVar mvarId) x`.\n"},"Lean.MVarId.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L98-L110","name":"Lean.MVarId.assertHypotheses","line":98,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertHypotheses","doc":"Convert the given goal `Ctx |- target` into `Ctx, (hs[0].userName : hs[0].type) ... |-target`.\nIt assumes `hs[i].val` has type `hs[i].type`. "},"Lean.MVarId.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L49-L60","name":"Lean.MVarId.assertExt","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertExt","doc":"Convert the given goal `Ctx |- target` into `Ctx |- (hName : type) -> hName = val -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L75-L84","name":"Lean.MVarId.assertAfter","line":75,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertAfter","doc":"Convert the given goal `Ctx |- target` into a goal containing `(userName : type)` after the local declaration with if `fvarId`.\nIt assumes `val` has type `type`, and that `type` is well-formed after `fvarId`.\nNote that `val` does not need to be well-formed after `fvarId`. That is, it may contain variables that are defined after `fvarId`. "},"Lean.MVarId.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L15-L23","name":"Lean.MVarId.assert","line":15,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assert","doc":"Convert the given goal `Ctx |- target` into `Ctx |- type -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.applyRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L44-L45","name":"Lean.MVarId.applyRefl","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.applyRefl","doc":""},"Lean.MVarId.apply.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L162-L173","name":"Lean.MVarId.apply.go","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply.go","doc":""},"Lean.MVarId.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L130-L185","name":"Lean.MVarId.apply","line":130,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply","doc":"Close the given goal using `apply e`.\n"},"Lean.MVarId.admit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L76-L81","name":"Lean.MVarId.admit","line":76,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.admit","doc":"Assign `mvarId` to `sorryAx` "},"Lean.MVarId.acyclic.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Acyclic.lean#L33-L51","name":"Lean.MVarId.acyclic.go","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic.go","doc":""},"Lean.MVarId.acyclic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Acyclic.lean#L22-L51","name":"Lean.MVarId.acyclic","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic","doc":"Close the given goal if `h` is a proof for an equality such as `as = a :: as`.\nInductive datatypes in Lean are acyclic.\n"},"Lean.MVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L261-L263","name":"Lean.MVarId","line":261,"kind":"structure","docLink":"./Lean/Expr.html#Lean.MVarId","doc":"Universe metavariable Id "},"Lean.MData.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L111-L111","name":"Lean.MData.empty","line":111,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData.empty","doc":""},"Lean.MData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L110-L110","name":"Lean.MData","line":110,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData","doc":"Expression metadata. 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"},"Lean.Lsp.WorkDoneProgressReport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.WorkDoneProgressReport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.mk","doc":""},"Lean.Lsp.WorkDoneProgressReport.message?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L352-L352","name":"Lean.Lsp.WorkDoneProgressReport.message?","line":352,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.message?","doc":"More detailed associated progress message. "},"Lean.Lsp.WorkDoneProgressReport.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L350-L350","name":"Lean.Lsp.WorkDoneProgressReport.kind","line":350,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.kind","doc":""},"Lean.Lsp.WorkDoneProgressReport.cancellable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L354-L354","name":"Lean.Lsp.WorkDoneProgressReport.cancellable","line":354,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.cancellable","doc":"Controls if a cancel button should show to allow the user to cancel the operation. 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"},"Lean.Lsp.WorkDoneProgressBegin.title":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L363-L363","name":"Lean.Lsp.WorkDoneProgressBegin.title","line":363,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressBegin.title","doc":""},"Lean.Lsp.WorkDoneProgressBegin.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.WorkDoneProgressBegin.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressBegin.mk","doc":""},"Lean.Lsp.WorkDoneProgressBegin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L361-L364","name":"Lean.Lsp.WorkDoneProgressBegin","line":361,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressBegin","doc":"Notification to signal the start of progress reporting. "},"Lean.Lsp.WindowClientCapabilities.showDocument?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Capabilities.lean#L39-L39","name":"Lean.Lsp.WindowClientCapabilities.showDocument?","line":39,"kind":"def","docLink":"./Lean/Data/Lsp/Capabilities.html#Lean.Lsp.WindowClientCapabilities.showDocument?","doc":""},"Lean.Lsp.WindowClientCapabilities.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Capabilities.lean#L1-L1","name":"Lean.Lsp.WindowClientCapabilities.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Capabilities.html#Lean.Lsp.WindowClientCapabilities.mk","doc":""},"Lean.Lsp.WindowClientCapabilities":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Capabilities.lean#L38-L40","name":"Lean.Lsp.WindowClientCapabilities","line":38,"kind":"structure","docLink":"./Lean/Data/Lsp/Capabilities.html#Lean.Lsp.WindowClientCapabilities","doc":""},"Lean.Lsp.WaitForDiagnosticsParams.version":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L25-L25","name":"Lean.Lsp.WaitForDiagnosticsParams.version","line":25,"kind":"def","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams.version","doc":""},"Lean.Lsp.WaitForDiagnosticsParams.uri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L24-L24","name":"Lean.Lsp.WaitForDiagnosticsParams.uri","line":24,"kind":"def","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams.uri","doc":""},"Lean.Lsp.WaitForDiagnosticsParams.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L1-L1","name":"Lean.Lsp.WaitForDiagnosticsParams.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams.mk","doc":""},"Lean.Lsp.WaitForDiagnosticsParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L23-L26","name":"Lean.Lsp.WaitForDiagnosticsParams","line":23,"kind":"structure","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams","doc":"`textDocument/waitForDiagnostics` client->server request.\n\nYields a response when all the diagnostics for a version of the document greater or equal to the\nspecified one have been emitted. 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"},"Lean.Lsp.TextEdit.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L87-L87","name":"Lean.Lsp.TextEdit.range","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.range","doc":"The range of the text document to be manipulated.\nTo insert text into a document create a range where `start = end`. "},"Lean.Lsp.TextEdit.newText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L89-L89","name":"Lean.Lsp.TextEdit.newText","line":89,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.newText","doc":"The string to be inserted. For delete operations use an empty string. "},"Lean.Lsp.TextEdit.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextEdit.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.mk","doc":""},"Lean.Lsp.TextEdit.annotationId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L97-L97","name":"Lean.Lsp.TextEdit.annotationId?","line":97,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.annotationId?","doc":"Identifier for annotated edit.\n\n`WorkspaceEdit` has a `changeAnnotations` field that maps these identifiers to a `ChangeAnnotation`.\nBy annotating an edit you can add a description of what the edit will do and also control whether the\nuser is presented with a prompt before applying the edit.\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit).\n"},"Lean.Lsp.TextEdit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L84-L98","name":"Lean.Lsp.TextEdit","line":84,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit","doc":"A textual edit applicable to a text document.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit) "},"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L86-L86","name":"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","line":86,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","doc":""},"Lean.Lsp.TextDocumentSyncOptions.willSave":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L85-L85","name":"Lean.Lsp.TextDocumentSyncOptions.willSave","line":85,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSave","doc":""},"Lean.Lsp.TextDocumentSyncOptions.save?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L87-L87","name":"Lean.Lsp.TextDocumentSyncOptions.save?","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.save?","doc":""},"Lean.Lsp.TextDocumentSyncOptions.openClose":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L83-L83","name":"Lean.Lsp.TextDocumentSyncOptions.openClose","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.openClose","doc":""},"Lean.Lsp.TextDocumentSyncOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L1-L1","name":"Lean.Lsp.TextDocumentSyncOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.mk","doc":""},"Lean.Lsp.TextDocumentSyncOptions.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L84-L84","name":"Lean.Lsp.TextDocumentSyncOptions.change","line":84,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.change","doc":""},"Lean.Lsp.TextDocumentSyncOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L82-L88","name":"Lean.Lsp.TextDocumentSyncOptions","line":82,"kind":"structure","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions","doc":"NOTE: This is defined twice in the spec. 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"},"Lean.Lsp.TextDocumentItem.uri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L279-L279","name":"Lean.Lsp.TextDocumentItem.uri","line":279,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.uri","doc":"The text document's URI. "},"Lean.Lsp.TextDocumentItem.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L285-L285","name":"Lean.Lsp.TextDocumentItem.text","line":285,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.text","doc":"The content of the opened text document. "},"Lean.Lsp.TextDocumentItem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextDocumentItem.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.mk","doc":""},"Lean.Lsp.TextDocumentItem.languageId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L281-L281","name":"Lean.Lsp.TextDocumentItem.languageId","line":281,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.languageId","doc":"The text document's language identifier. "},"Lean.Lsp.TextDocumentItem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L277-L286","name":"Lean.Lsp.TextDocumentItem","line":277,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem","doc":"An item to transfer a text document from the client to the 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"},"Lean.Lsp.CodeActionTriggerKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L34-L41","name":"Lean.Lsp.CodeActionTriggerKind","line":34,"kind":"inductive","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionTriggerKind","doc":""},"Lean.Lsp.CodeActionParams.textDocument":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L81-L81","name":"Lean.Lsp.CodeActionParams.textDocument","line":81,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.textDocument","doc":""},"Lean.Lsp.CodeActionParams.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L82-L82","name":"Lean.Lsp.CodeActionParams.range","line":82,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.range","doc":""},"Lean.Lsp.CodeActionParams.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionParams.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.mk","doc":""},"Lean.Lsp.CodeActionParams.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L83-L83","name":"Lean.Lsp.CodeActionParams.context","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.context","doc":""},"Lean.Lsp.CodeActionParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L80-L84","name":"Lean.Lsp.CodeActionParams","line":80,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams","doc":"Parameters for a [CodeActionRequest](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textDocument_codeAction). "},"Lean.Lsp.CodeActionOptions.resolveProvider?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L98-L98","name":"Lean.Lsp.CodeActionOptions.resolveProvider?","line":98,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.resolveProvider?","doc":"The server provides support to resolve additional information for a code action. "},"Lean.Lsp.CodeActionOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.mk","doc":""},"Lean.Lsp.CodeActionOptions.codeActionKinds?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L96-L96","name":"Lean.Lsp.CodeActionOptions.codeActionKinds?","line":96,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.codeActionKinds?","doc":"CodeActionKinds that this server may return.\n\nThe list of kinds may be generic, such as `\"refactor\"`, or the server may list out every specific kind they provide. "},"Lean.Lsp.CodeActionOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L92-L99","name":"Lean.Lsp.CodeActionOptions","line":92,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions","doc":"Capabilities of the server for handling code actions. "},"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L141-L141","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","line":141,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","doc":"The code action kind values the client supports. When this\nproperty exists the client also guarantees that it will\nhandle values outside its set gracefully and falls back\nto a default value when unknown.\n"},"Lean.Lsp.CodeActionLiteralSupportValueSet.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupportValueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L135-L142","name":"Lean.Lsp.CodeActionLiteralSupportValueSet","line":135,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet","doc":""},"Lean.Lsp.CodeActionLiteralSupport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupport.codeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L146-L146","name":"Lean.Lsp.CodeActionLiteralSupport.codeActionKind","line":146,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.codeActionKind","doc":"The code action kind is supported with the following value set. "},"Lean.Lsp.CodeActionLiteralSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L144-L147","name":"Lean.Lsp.CodeActionLiteralSupport","line":144,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport","doc":""},"Lean.Lsp.CodeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L32-L32","name":"Lean.Lsp.CodeActionKind","line":32,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionKind","doc":"The kind of a code action.\n\nKinds are a hierarchical list of identifiers separated by `.`,\ne.g. `\"refactor.extract.function\"`.\n\nThe set of kinds is open and client needs to announce the kinds it supports\nto the server during initialization.\nYou can make your own code action kinds, the ones supported by LSP are:\n- `quickfix`\n- `refactor`\n - `refactor.extract`\n - `refactor.inline`\n - `refactor.rewrite`\n- `source` Source code actions apply to the entire file. Eg fixing all issues or organising imports.\n - `source.organizeImports`\n - `source.fixAll`\n"},"Lean.Lsp.CodeActionDisabled.reason":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L88-L88","name":"Lean.Lsp.CodeActionDisabled.reason","line":88,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.reason","doc":""},"Lean.Lsp.CodeActionDisabled.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionDisabled.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.mk","doc":""},"Lean.Lsp.CodeActionDisabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L87-L89","name":"Lean.Lsp.CodeActionDisabled","line":87,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled","doc":"If the code action is disabled, this type gives the reson why. "},"Lean.Lsp.CodeActionContext.triggerKind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L76-L76","name":"Lean.Lsp.CodeActionContext.triggerKind?","line":76,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.triggerKind?","doc":"The reason why code actions were requested. "},"Lean.Lsp.CodeActionContext.only?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L74-L74","name":"Lean.Lsp.CodeActionContext.only?","line":74,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.only?","doc":"Requested kind of actions to return.\n\nActions not of this kind are filtered out by the client before being\nshown. So servers can omit computing them.\n"},"Lean.Lsp.CodeActionContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.mk","doc":""},"Lean.Lsp.CodeActionContext.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L68-L68","name":"Lean.Lsp.CodeActionContext.diagnostics","line":68,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.diagnostics","doc":"An array of diagnostics known on the client side overlapping the range\nprovided to the `textDocument/codeAction` request. They are provided so\nthat the server knows which errors are currently presented to the user\nfor the given range. There is no guarantee that these accurately reflect\nthe error state of the resource. The primary parameter\nto compute code actions is the provided range.\n"},"Lean.Lsp.CodeActionContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L59-L77","name":"Lean.Lsp.CodeActionContext","line":59,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext","doc":"Contains additional diagnostic information about the context in which a code action is run.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionContext) "},"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L168-L168","name":"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","line":168,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","doc":"Whether the client supports resolving additional code action properties via a separate `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionClientCapabilities.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.mk","doc":""},"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L154-L154","name":"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","line":154,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","doc":"Whether the code action supports the `isPreferred` property. "},"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L164-L164","name":"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","line":164,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","doc":"Whether the client honors the change annotations in\ntext edits and resource operations returned via the\n`CodeAction#edit` property by for example presenting\nthe workspace edit in the user interface and asking\nfor confirmation. "},"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L152-L152","name":"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","line":152,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","doc":"Whether we can [register capabilities dynamically](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#client_registerCapability). "},"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L156-L156","name":"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","line":156,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","doc":"Whether the code action supports the `disabled` property. "},"Lean.Lsp.CodeActionClientCapabilities.dataSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L158-L158","name":"Lean.Lsp.CodeActionClientCapabilities.dataSupport?","line":158,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dataSupport?","doc":"Weather code action supports the `data` property which is preserved between a `textDocument/codeAction` and a `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L166-L166","name":"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","line":166,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","doc":"The client supports code action literals as a valid response of the `textDocument/codeAction` request. "},"Lean.Lsp.CodeActionClientCapabilities":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L150-L169","name":"Lean.Lsp.CodeActionClientCapabilities","line":150,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities","doc":"[Reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionClientCapabilities) "},"Lean.Lsp.CodeAction.title":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L110-L110","name":"Lean.Lsp.CodeAction.title","line":110,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.title","doc":"A short, human-readable, title for this code action. "},"Lean.Lsp.CodeAction.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeAction.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.mk","doc":""},"Lean.Lsp.CodeAction.kind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L112-L112","name":"Lean.Lsp.CodeAction.kind?","line":112,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.kind?","doc":"The kind of the code action. "},"Lean.Lsp.CodeAction.isPreferred?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L116-L116","name":"Lean.Lsp.CodeAction.isPreferred?","line":116,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.isPreferred?","doc":"Marks this as a preferred action. Preferred actions are used by the `auto fix` command and can be targeted by keybindings. "},"Lean.Lsp.CodeAction.edit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L120-L120","name":"Lean.Lsp.CodeAction.edit?","line":120,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.edit?","doc":"The workspace edit this code action performs. "},"Lean.Lsp.CodeAction.disabled?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L118-L118","name":"Lean.Lsp.CodeAction.disabled?","line":118,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.disabled?","doc":"Marks that the code action cannot currently be applied. "},"Lean.Lsp.CodeAction.diagnostics?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L114-L114","name":"Lean.Lsp.CodeAction.diagnostics?","line":114,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.diagnostics?","doc":"The diagnostics that this code action resolves. "},"Lean.Lsp.CodeAction.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L128-L128","name":"Lean.Lsp.CodeAction.data?","line":128,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.data?","doc":"A data entry field that is preserved on a code action between a `textDocument/codeAction` and a `codeAction/resolve` request.\nIn particular, for Lean-created commands we expect `data` to have a `uri : DocumentUri` field so that `FileSource` can be implemented.\n "},"Lean.Lsp.CodeAction.command?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L124-L124","name":"Lean.Lsp.CodeAction.command?","line":124,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.command?","doc":"A command this code action executes.\n\nIf a code action provides an edit and a command, first the edit is executed and then the command. "},"Lean.Lsp.CodeAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L108-L129","name":"Lean.Lsp.CodeAction","line":108,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction","doc":"A code action represents a change that can be performed in code, e.g. to fix a problem or to refactor code.\n\nA CodeAction should set either `edit` and/or a `command`.\nIf both are supplied, the `edit` is applied first, then the `command` is executed.\nIf none are supplied, the client makes a `codeAction/resolve` JSON-RPC request to compute the edit.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeAction) 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"Lean.JsonRpc.ResponseError.mk","line":173,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.mk","doc":""},"Lean.JsonRpc.ResponseError.message":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L177-L177","name":"Lean.JsonRpc.ResponseError.message","line":177,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.message","doc":"A string providing a short description of the error. "},"Lean.JsonRpc.ResponseError.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L174-L174","name":"Lean.JsonRpc.ResponseError.id","line":174,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.id","doc":""},"Lean.JsonRpc.ResponseError.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L180-L180","name":"Lean.JsonRpc.ResponseError.data?","line":180,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.data?","doc":"A primitive or structured value that contains additional\ninformation about the error. Can be omitted. "},"Lean.JsonRpc.ResponseError.code":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L175-L175","name":"Lean.JsonRpc.ResponseError.code","line":175,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.code","doc":""},"Lean.JsonRpc.ResponseError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L173-L181","name":"Lean.JsonRpc.ResponseError","line":173,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError","doc":"Generic version of `Message.responseError`.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#error_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseError).\n"},"Lean.JsonRpc.Response.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L161-L161","name":"Lean.JsonRpc.Response.result","line":161,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.result","doc":""},"Lean.JsonRpc.Response.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L159-L159","name":"Lean.JsonRpc.Response.mk","line":159,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.mk","doc":""},"Lean.JsonRpc.Response.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L160-L160","name":"Lean.JsonRpc.Response.id","line":160,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.id","doc":""},"Lean.JsonRpc.Response":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L159-L162","name":"Lean.JsonRpc.Response","line":159,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response","doc":"Generic version of `Message.response`.\n\nA Response Message sent as a result of a request. If a request doesn’t provide a\nresult value the receiver of a request still needs to return a response message\nto conform to the JSON-RPC specification. The result property of the ResponseMessage\nshould be set to null in this case to signal a successful request.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#response_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseMessage)\n"},"Lean.JsonRpc.RequestID.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L22-L22","name":"Lean.JsonRpc.RequestID.str","line":22,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.str","doc":""},"Lean.JsonRpc.RequestID.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L23-L23","name":"Lean.JsonRpc.RequestID.num","line":23,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.num","doc":""},"Lean.JsonRpc.RequestID.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L24-L24","name":"Lean.JsonRpc.RequestID.null","line":24,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.null","doc":""},"Lean.JsonRpc.RequestID":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L21-L25","name":"Lean.JsonRpc.RequestID","line":21,"kind":"inductive","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID","doc":"In JSON-RPC, each request from the client editor to the language server comes with a\nrequest id so that the corresponding response can be identified or cancelled. "},"Lean.JsonRpc.Request.param":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L127-L127","name":"Lean.JsonRpc.Request.param","line":127,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.param","doc":""},"Lean.JsonRpc.Request.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L124-L124","name":"Lean.JsonRpc.Request.mk","line":124,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.mk","doc":""},"Lean.JsonRpc.Request.method":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L126-L126","name":"Lean.JsonRpc.Request.method","line":126,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.method","doc":""},"Lean.JsonRpc.Request.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L125-L125","name":"Lean.JsonRpc.Request.id","line":125,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.id","doc":""},"Lean.JsonRpc.Request":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L124-L128","name":"Lean.JsonRpc.Request","line":124,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request","doc":"Generic version of `Message.request`.\n\nA request message to describe a request between the client and the server. Every processed request must send a response back to the sender of the request.\n\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#requestMessage)\n- [JSON-RPC](https://www.jsonrpc.org/specification#request_object)\n"},"Lean.JsonRpc.Notification.param":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L142-L142","name":"Lean.JsonRpc.Notification.param","line":142,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.param","doc":""},"Lean.JsonRpc.Notification.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L140-L140","name":"Lean.JsonRpc.Notification.mk","line":140,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.mk","doc":""},"Lean.JsonRpc.Notification.method":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L141-L141","name":"Lean.JsonRpc.Notification.method","line":141,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.method","doc":""},"Lean.JsonRpc.Notification":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L140-L143","name":"Lean.JsonRpc.Notification","line":140,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification","doc":"Generic version of `Message.notification`.\n\nA notification message. 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It is used by the `ac_rfl` tactic\n(which also simplifies neutral elements when available).\n"},"Lean.IsIdempotent.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1692-L1692","name":"Lean.IsIdempotent.mk","line":1692,"kind":"ctor","docLink":"./Init/Core.html#Lean.IsIdempotent.mk","doc":""},"Lean.IsIdempotent.idempotent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1694-L1694","name":"Lean.IsIdempotent.idempotent","line":1694,"kind":"def","docLink":"./Init/Core.html#Lean.IsIdempotent.idempotent","doc":"An idempotent operation satisfies `a ∘ a = a`. 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#Lean.IR.ExplicitBoxing.M","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.nextIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L103-L103","name":"Lean.IR.ExplicitBoxing.BoxingState.nextIdx","line":103,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.nextIdx","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.nextAuxId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L117-L117","name":"Lean.IR.ExplicitBoxing.BoxingState.nextAuxId","line":117,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.nextAuxId","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L1-L1","name":"Lean.IR.ExplicitBoxing.BoxingState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.mk","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.auxDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L115-L115","name":"Lean.IR.ExplicitBoxing.BoxingState.auxDecls","line":115,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.auxDecls","doc":"We create auxiliary declarations when boxing constant and literals.\nThe idea is to avoid code such as\n```\nlet x1 := Uint64.inhabited;\nlet x2 := box x1;\n...\n```\nWe currently do not cache these declarations in an environment extension, but\nwe use auxDeclCache to avoid creating equivalent auxiliary declarations more than once when\nprocessing the same IR declaration.\n"},"Lean.IR.ExplicitBoxing.BoxingState.auxDeclCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L116-L116","name":"Lean.IR.ExplicitBoxing.BoxingState.auxDeclCache","line":116,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.auxDeclCache","doc":""},"Lean.IR.ExplicitBoxing.BoxingState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L102-L117","name":"Lean.IR.ExplicitBoxing.BoxingState","line":102,"kind":"structure","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.resultType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L98-L98","name":"Lean.IR.ExplicitBoxing.BoxingContext.resultType","line":98,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.resultType","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L1-L1","name":"Lean.IR.ExplicitBoxing.BoxingContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.mk","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.localCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L97-L97","name":"Lean.IR.ExplicitBoxing.BoxingContext.localCtx","line":97,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.localCtx","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L96-L96","name":"Lean.IR.ExplicitBoxing.BoxingContext.f","line":96,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.f","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L100-L100","name":"Lean.IR.ExplicitBoxing.BoxingContext.env","line":100,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.env","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L99-L99","name":"Lean.IR.ExplicitBoxing.BoxingContext.decls","line":99,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.decls","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L95-L100","name":"Lean.IR.ExplicitBoxing.BoxingContext","line":95,"kind":"structure","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext","doc":""},"Lean.IR.ExpandResetReuse.setFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L143-L144","name":"Lean.IR.ExpandResetReuse.setFields","line":143,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.setFields","doc":""},"Lean.IR.ExpandResetReuse.searchAndExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L249-L263","name":"Lean.IR.ExpandResetReuse.searchAndExpand","line":249,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.searchAndExpand","doc":""},"Lean.IR.ExpandResetReuse.reuseToSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L188-L209","name":"Lean.IR.ExpandResetReuse.reuseToSet","line":188,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.reuseToSet","doc":""},"Lean.IR.ExpandResetReuse.reuseToCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L90-L110","name":"Lean.IR.ExpandResetReuse.reuseToCtor","line":90,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.reuseToCtor","doc":"Replace `reuse x ctor ...` with `ctor ...`, and remoce `dec x` "},"Lean.IR.ExpandResetReuse.removeSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L168-L186","name":"Lean.IR.ExpandResetReuse.removeSelfSet","line":168,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.removeSelfSet","doc":"Remove unnecessary `set/uset/sset` operations "},"Lean.IR.ExpandResetReuse.releaseUnreadFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L135-L141","name":"Lean.IR.ExpandResetReuse.releaseUnreadFields","line":135,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.releaseUnreadFields","doc":""},"Lean.IR.ExpandResetReuse.mkSlowPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L124-L129","name":"Lean.IR.ExpandResetReuse.mkSlowPath","line":124,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkSlowPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\ninc z_1; ...; inc z_i; dec y; b'\n```\nwhere `z_i`'s are the variables in `mask`,\nand `b'` is `b` where we removed `dec x` and replaced `reuse x ctor_i ...` with `ctor_i ...`.\n"},"Lean.IR.ExpandResetReuse.mkProjMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L31-L34","name":"Lean.IR.ExpandResetReuse.mkProjMap","line":31,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkProjMap","doc":"Create a mapping from variables to projections.\nThis function assumes variable ids have been normalized "},"Lean.IR.ExpandResetReuse.mkFresh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L132-L133","name":"Lean.IR.ExpandResetReuse.mkFresh","line":132,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFresh","doc":""},"Lean.IR.ExpandResetReuse.mkFastPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L230-L233","name":"Lean.IR.ExpandResetReuse.mkFastPath","line":230,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFastPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\nlet f_i_1 := proj[i_1] y;\n...\nlet f_i_k := proj[i_k] y;\nb'\n```\nwhere `i_j`s are the field indexes\nthat the code did not touch immediately before the reset.\nThat is `mask[j] == none`.\n`b'` is `b` where `y` `dec x` is replaced with `del y`,\nand `z := reuse x ctor_i ws; F` is replaced with\n`set x i ws[i]` operations, and we replace `z` with `x` in `F`\n"},"Lean.IR.ExpandResetReuse.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L265-L272","name":"Lean.IR.ExpandResetReuse.main","line":265,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.main","doc":""},"Lean.IR.ExpandResetReuse.isSelfUSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L156-L159","name":"Lean.IR.ExpandResetReuse.isSelfUSet","line":156,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfUSet","doc":"Given `uset x[i] := y`, return true iff `y := uproj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L147-L153","name":"Lean.IR.ExpandResetReuse.isSelfSet","line":147,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSet","doc":"Given `set x[i] := y`, return true iff `y := proj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L162-L165","name":"Lean.IR.ExpandResetReuse.isSelfSSet","line":162,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSSet","doc":"Given `sset x[n, i] := y`, return true iff `y := sproj[n, i] x` "},"Lean.IR.ExpandResetReuse.expand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L236-L247","name":"Lean.IR.ExpandResetReuse.expand","line":236,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.expand","doc":""},"Lean.IR.ExpandResetReuse.eraseProjIncForAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L53-L82","name":"Lean.IR.ExpandResetReuse.eraseProjIncForAux","line":53,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncForAux","doc":"Auxiliary function for eraseProjIncFor "},"Lean.IR.ExpandResetReuse.eraseProjIncFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L86-L87","name":"Lean.IR.ExpandResetReuse.eraseProjIncFor","line":86,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncFor","doc":"Try to erase `inc` instructions on projections of `y` occurring in the tail of `bs`.\nReturn the updated `bs` and a bit mask specifying which `inc`s have been removed. 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They are redundant, but are used to create more compact\nterms, speedup reduction, and implement eta for structures.\nThe type of `struct` must be an structure-like inductive type. That is, it has only one\nconstructor, is not recursive, and it is not an inductive predicate. The kernel and elaborators\ncheck whether the `typeName` matches the type of `struct`, and whether the (zero-based) index\nis valid (i.e., it is smaller than the numbef of constructor fields).\nWhen exporting Lean developments to other systems, `proj` can be replaced with `typeName`.`rec`\napplications.\n\nExample, given `a : Nat x Bool`, `a.1` is represented as\n```\n.proj `Prod 0 a\n```\n"},"Lean.Expr.prod?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L105-L106","name":"Lean.Expr.prod?","line":105,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.prod?","doc":"Recognize `α × β` "},"Lean.Expr.occurs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindExpr.lean#L55-L56","name":"Lean.Expr.occurs","line":55,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.occurs","doc":"Return true if `e` occurs in `t` "},"Lean.Expr.notNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L58-L61","name":"Lean.Expr.notNot?","line":58,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.notNot?","doc":""},"Lean.Expr.not?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L55-L56","name":"Lean.Expr.not?","line":55,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.not?","doc":""},"Lean.Expr.ne?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L43-L44","name":"Lean.Expr.ne?","line":43,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.ne?","doc":""},"Lean.Expr.natLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1034-L1036","name":"Lean.Expr.natLit?","line":1034,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.natLit?","doc":""},"Lean.Expr.natAdd?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L69-L70","name":"Lean.Expr.natAdd?","line":69,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.natAdd?","doc":""},"Lean.Expr.mvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1065-L1067","name":"Lean.Expr.mvarId!","line":1065,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mvarId!","doc":""},"Lean.Expr.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L336-L342","name":"Lean.Expr.mvar","line":336,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mvar","doc":"Metavariables are used to represent \"holes\" in expressions, and goals in the\ntactic framework. Metavariable declarations are stored in the `MetavarContext`.\nMetavariables are used during elaboration, and are not allowed in the kernel,\nor in the code generator.\n"},"Lean.Expr.mkDataForLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L194-L195","name":"Lean.Expr.mkDataForLet","line":194,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForLet","doc":""},"Lean.Expr.mkDataForBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L191-L192","name":"Lean.Expr.mkDataForBinder","line":191,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForBinder","doc":""},"Lean.Expr.mkData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L164-L178","name":"Lean.Expr.mkData","line":164,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkData","doc":""},"Lean.Expr.mkAppRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1281-L1282","name":"Lean.Expr.mkAppRevRange","line":1281,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppRevRange","doc":"`mkAppRevRange f b e args == mkAppRev f (revArgs.extract b e)` "},"Lean.Expr.mkAppData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L181-L189","name":"Lean.Expr.mkAppData","line":181,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppData","doc":"Optimized version of `Expr.mkData` for applications. "},"Lean.Expr.mdataExpr!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1109-L1111","name":"Lean.Expr.mdataExpr!","line":1109,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mdataExpr!","doc":""},"Lean.Expr.mdata":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L435-L445","name":"Lean.Expr.mdata","line":435,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mdata","doc":"Metadata (aka annotations).\n\nWe use annotations to provide hints to the pretty-printer,\nstore references to `Syntax` nodes, position information, and save information for\nelaboration procedures (e.g., we use the `inaccessible` annotation during elaboration to\nmark `Expr`s that correspond to inaccessible patterns).\n\nNote that `Expr.mdata data e` is definitionally equal to `e`.\n"},"Lean.Expr.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L764-L764","name":"Lean.Expr.lt","line":764,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lt","doc":"A total order for expressions that takes the structure into account (e.g., variable names). "},"Lean.Expr.lowerLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1150-L1150","name":"Lean.Expr.lowerLooseBVars","line":1150,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lowerLooseBVars","doc":"Lower the loose bound variables `>= s` in `e` by `d`.\nThat is, a loose bound variable `bvar i`.\n`i >= s` is mapped into `bvar (i-d)`.\n\nRemark: if `s < d`, then result is `e`\n"},"Lean.Expr.looseBVarRangeEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L602-L602","name":"Lean.Expr.looseBVarRangeEx","line":602,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRangeEx","doc":""},"Lean.Expr.looseBVarRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L581-L582","name":"Lean.Expr.looseBVarRange","line":581,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRange","doc":"The range of de-Bruijn variables that are loose.\nThat is, bvars that are not bound by a binder.\nFor example, `bvar i` has range `i + 1` and\nan expression with no loose bvars has range `0`.\n"},"Lean.Expr.litValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1026-L1028","name":"Lean.Expr.litValue!","line":1026,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.litValue!","doc":""},"Lean.Expr.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L422-L433","name":"Lean.Expr.lit","line":422,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lit","doc":"Natural number and string literal values.\n\nThey are not really needed, but provide a more compact representation in memory\nfor these two kinds of literals, and are used to implement efficient reduction\nin the elaborator and kernel. The \"raw\" natural number `2` can be represented\nas `Expr.lit (.natVal 2)`. Note that, it is definitionally equal to:\n```lean\nExpr.app (.const `Nat.succ []) (.app (.const `Nat.succ []) (.const `Nat.zero []))\n```\n"},"Lean.Expr.listLit?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L89-L95","name":"Lean.Expr.listLit?.loop","line":89,"kind":"opaque","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?.loop","doc":""},"Lean.Expr.listLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L88-L96","name":"Lean.Expr.listLit?","line":88,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?","doc":""},"Lean.Expr.liftLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1155-L1155","name":"Lean.Expr.liftLooseBVars","line":1155,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.liftLooseBVars","doc":"Lift loose bound variables `>= s` in `e` by `d`. "},"Lean.Expr.letValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1097-L1099","name":"Lean.Expr.letValue!","line":1097,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letValue!","doc":""},"Lean.Expr.letType!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1093-L1095","name":"Lean.Expr.letType!","line":1093,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letType!","doc":""},"Lean.Expr.letName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1089-L1091","name":"Lean.Expr.letName!","line":1089,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letName!","doc":""},"Lean.Expr.letE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L402-L420","name":"Lean.Expr.letE","line":402,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.letE","doc":"Let-expressions.\n\n**IMPORTANT**: The `nonDep` flag is for \"local\" use only. That is, a module should not \"trust\" its value for any purpose.\nIn the intended use-case, the compiler will set this flag, and be responsible for maintaining it.\nOther modules may not preserve its value while applying transformations.\n\nGiven an environment, a metavariable context, and a local context,\nwe say a let-expression `let x : t := v; e` is non-dependent when it is equivalent\nto `(fun x : t => e) v`. Here is an example of a dependent let-expression\n`let n : Nat := 2; fun (a : Array Nat n) (b : Array Nat 2) => a = b` is type correct,\nbut `(fun (n : Nat) (a : Array Nat n) (b : Array Nat 2) => a = b) 2` is not.\n\nThe let-expression `let x : Nat := 2; Nat.succ x` is represented as\n```\nExpr.letE `x (.const `Nat []) (.lit (.natVal 2)) (.app (.const `Nat.succ []) (.bvar 0)) true\n```\n"},"Lean.Expr.letBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1101-L1103","name":"Lean.Expr.letBody!","line":1101,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letBody!","doc":""},"Lean.Expr.lam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L372-L381","name":"Lean.Expr.lam","line":372,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lam","doc":"A lambda abstraction (aka anonymous functions). It introduces a new binder for\nvariable `x` in scope for the lambda body.\n\nFor example, the expression `fun x : Nat => x` is represented as\n```\nExpr.lam `x (.const `Nat []) (.bvar 0) .default\n```\n"},"Lean.Expr.isType0":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L794-L796","name":"Lean.Expr.isType0","line":794,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType0","doc":"Return `true` if the given expression is of the form `.sort (.succ .zero)`. "},"Lean.Expr.isType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L789-L791","name":"Lean.Expr.isType","line":789,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType","doc":"Return `true` if the given expression is of the form `.sort (.succ ..)`. "},"Lean.Expr.isSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L15-L17","name":"Lean.Expr.isSyntheticSorry","line":15,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSyntheticSorry","doc":""},"Lean.Expr.isStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1038-L1040","name":"Lean.Expr.isStringLit","line":1038,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isStringLit","doc":""},"Lean.Expr.isSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L784-L786","name":"Lean.Expr.isSort","line":784,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSort","doc":"Return `true` if the given expression is a `.sort ..` "},"Lean.Expr.isSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L11-L13","name":"Lean.Expr.isSorry","line":11,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSorry","doc":""},"Lean.Expr.isSemiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1406-L1407","name":"Lean.Expr.isSemiOutParam","line":1406,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSemiOutParam","doc":"Return `true` if `e` is of the form `semiOutParam _` "},"Lean.Expr.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L799-L801","name":"Lean.Expr.isProp","line":799,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProp","doc":"Return `true` if the given expression is a `.sort .zero` "},"Lean.Expr.isProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L824-L826","name":"Lean.Expr.isProj","line":824,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProj","doc":"Return `true` if the given expression is a projection `.proj ..` "},"Lean.Expr.isOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1402-L1403","name":"Lean.Expr.isOutParam","line":1402,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOutParam","doc":"Return `true` if `e` is of the form `outParam _` "},"Lean.Expr.isOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1410-L1411","name":"Lean.Expr.isOptParam","line":1410,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOptParam","doc":"Return `true` if `e` is of the form `optParam _ _` "},"Lean.Expr.isNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L19-L21","name":"Lean.Expr.isNonSyntheticSorry","line":19,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isNonSyntheticSorry","doc":""},"Lean.Expr.isNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1030-L1032","name":"Lean.Expr.isNatLit","line":1030,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isNatLit","doc":""},"Lean.Expr.isMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L809-L811","name":"Lean.Expr.isMVar","line":809,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMVar","doc":"Return `true` if the given expression is a metavariable. "},"Lean.Expr.isMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L876-L878","name":"Lean.Expr.isMData","line":876,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMData","doc":"Return `true` if the given expression is a metadata. "},"Lean.Expr.isLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L881-L883","name":"Lean.Expr.isLit","line":881,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLit","doc":"Return `true` if the given expression is a literal value. "},"Lean.Expr.isLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L871-L873","name":"Lean.Expr.isLet","line":871,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLet","doc":"Return `true` if the given expression is a let-expression. "},"Lean.Expr.isLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L860-L862","name":"Lean.Expr.isLambda","line":860,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLambda","doc":"Return `true` if the given expression is a lambda abstraction aka anonymous function. "},"Lean.Expr.isIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L82-L83","name":"Lean.Expr.isIte","line":82,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isIte","doc":""},"Lean.Expr.isHeadBetaTargetFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1342-L1346","name":"Lean.Expr.isHeadBetaTargetFn","line":1342,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTargetFn","doc":"Return true if the given expression is the function of an expression that is target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n\nSee `isHeadBetaTarget`.\n"},"Lean.Expr.isHeadBetaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1358-L1359","name":"Lean.Expr.isHeadBetaTarget","line":1358,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTarget","doc":"Return true if the given expression is a target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n"},"Lean.Expr.isHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L79-L80","name":"Lean.Expr.isHEq","line":79,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isHEq","doc":""},"Lean.Expr.isForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L855-L857","name":"Lean.Expr.isForall","line":855,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isForall","doc":"Return `true` if the given expression is a forall-expression aka (dependent) arrow. "},"Lean.Expr.isFVarOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L850-L852","name":"Lean.Expr.isFVarOf","line":850,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVarOf","doc":"Return `true` if the given expression is a free variable with the given id.\nExamples:\n- `isFVarOf (.fvar id) id` is `true`\n- ``isFVarOf (.fvar id) id'`` is `false`\n- ``isFVarOf (.sort levelZero) id`` is `false`\n"},"Lean.Expr.isFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L814-L816","name":"Lean.Expr.isFVar","line":814,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVar","doc":"Return `true` if the given expression is a free variable. "},"Lean.Expr.isErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L16-L17","name":"Lean.Expr.isErased","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Expr.isErased","doc":""},"Lean.Expr.isEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L76-L77","name":"Lean.Expr.isEq","line":76,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isEq","doc":""},"Lean.Expr.isDIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L85-L86","name":"Lean.Expr.isDIte","line":85,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isDIte","doc":""},"Lean.Expr.isConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L113-L121","name":"Lean.Expr.isConstructorApp?","line":113,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp?","doc":""},"Lean.Expr.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L123-L124","name":"Lean.Expr.isConstructorApp","line":123,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp","doc":""},"Lean.Expr.isConstOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L839-L841","name":"Lean.Expr.isConstOf","line":839,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConstOf","doc":"Return `true` if the given expression is a constant of the give name.\nExamples:\n- `` (.const `Nat []).isConstOf `Nat `` is `true`\n- `` (.const `Nat []).isConstOf `False `` is `false`\n"},"Lean.Expr.isConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L829-L831","name":"Lean.Expr.isConst","line":829,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConst","doc":"Return `true` if the given expression is a constant. "},"Lean.Expr.isCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1042-L1043","name":"Lean.Expr.isCharLit","line":1042,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isCharLit","doc":""},"Lean.Expr.isBinding":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L865-L868","name":"Lean.Expr.isBinding","line":865,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBinding","doc":"Return `true` if the given expression is a forall or lambda expression. "},"Lean.Expr.isBVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L804-L806","name":"Lean.Expr.isBVar","line":804,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBVar","doc":"Return `true` if the given expression is a bound variable. "},"Lean.Expr.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1414-L1415","name":"Lean.Expr.isAutoParam","line":1414,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAutoParam","doc":"Return `true` if `e` is of the form `autoParam _ _` "},"Lean.Expr.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1225-L1232","name":"Lean.Expr.isAtomic","line":1225,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAtomic","doc":"Returns true when the expression does not have any sub-expressions. "},"Lean.Expr.isArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1128-L1131","name":"Lean.Expr.isArrow","line":1128,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isArrow","doc":"Return `true` if `e` is a non-dependent arrow.\nRemark: the following function assumes `e` does not have loose bound variables.\n"},"Lean.Expr.isAppOfArity'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L998-L1002","name":"Lean.Expr.isAppOfArity'","line":998,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity'","doc":"Similar to `isAppOfArity` but skips `Expr.mdata`. "},"Lean.Expr.isAppOfArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L992-L995","name":"Lean.Expr.isAppOfArity","line":992,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity","doc":"Given `f a₁ ... aᵢ`, returns true if `f` is a constant\nwith name `n` and has the correct number of arguments.\n"},"Lean.Expr.isAppOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L983-L986","name":"Lean.Expr.isAppOf","line":983,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOf","doc":"Given `f a₀ a₁ ... aₙ`, returns true if `f` is a constant with name `n`. "},"Lean.Expr.isApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L819-L821","name":"Lean.Expr.isApp","line":819,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isApp","doc":"Return `true` if the given expression is an application. "},"Lean.Expr.instantiateRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1199-L1199","name":"Lean.Expr.instantiateRevRange","line":1199,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRevRange","doc":"Similar to `instantiateRev`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1185-L1185","name":"Lean.Expr.instantiateRev","line":1185,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRev","doc":"Similar to instantiate, but `Expr.bvar i` is replaced with `subst[subst.size - i - 1]` "},"Lean.Expr.instantiateRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1192-L1192","name":"Lean.Expr.instantiateRange","line":1192,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRange","doc":"Similar to `instantiate`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateLevelParamsNoCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L40-L42","name":"Lean.Expr.instantiateLevelParamsNoCache","line":40,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsNoCache","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n(Does not preserve expression sharing.)\n"},"Lean.Expr.instantiateLevelParamsCore.replaceFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L17-L21","name":"Lean.Expr.instantiateLevelParamsCore.replaceFn","line":17,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsCore.replaceFn","doc":""},"Lean.Expr.instantiateLevelParamsCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L14-L21","name":"Lean.Expr.instantiateLevelParamsCore","line":14,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsCore","doc":"Instantiate level parameters\n"},"Lean.Expr.instantiateLevelParamsArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L57-L60","name":"Lean.Expr.instantiateLevelParamsArray","line":57,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsArray","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two arrays have different length, the smallest one is used.\n"},"Lean.Expr.instantiateLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L31-L33","name":"Lean.Expr.instantiateLevelParams","line":31,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParams","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n"},"Lean.Expr.instantiateBetaRevRange.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L32-L65","name":"Lean.Expr.instantiateBetaRevRange.visit","line":32,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange.visit","doc":""},"Lean.Expr.instantiateBetaRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L25-L65","name":"Lean.Expr.instantiateBetaRevRange","line":25,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange","doc":"Auxiliary function for instantiating the loose bound variables in `e` with `args[start:stop]`.\nThis function is similar to `instantiateRevRange`, but it applies beta-reduction when\nwe instantiate a bound variable with a lambda expression.\nExample: Given the term `#0 a`, and `start := 0, stop := 1, args := #[fun x => x]` the result is\n`a` instead of `(fun x => x) a`.\nThis reduction is useful when we are inferring the type of eliminator-like applications.\nFor example, given `(n m : Nat) (f : Nat → Nat) (h : m = n)`,\nthe type of `Eq.subst (motive := fun x => f m = f x) h rfl`\nis `motive n` which is `(fun (x : Nat) => f m = f x) n`\nThis function reduces the new application to `f m = f n`\n\nWe use it to implement `inferAppType`\n"},"Lean.Expr.instantiate1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1181-L1181","name":"Lean.Expr.instantiate1","line":1181,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate1","doc":""},"Lean.Expr.instantiate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1178-L1178","name":"Lean.Expr.instantiate","line":1178,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate","doc":"Instantiate the loose bound 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e numParams considerRange` updates the first `numParams` parameter binder annotations of the `e` forall type.\nIt marks any parameter with an explicit binder annotation if there is another explicit arguments that depends on it or\nthe resulting type if `considerRange == true`.\n\nRemark: we use this function to infer the bind annotations of inductive datatype constructors, and structure projections.\nWhen the `{}` annotation is used in these commands, we set `considerRange == false`.\n"},"Lean.Expr.iff?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L46-L47","name":"Lean.Expr.iff?","line":46,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.iff?","doc":""},"Lean.Expr.heq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L66-L67","name":"Lean.Expr.heq?","line":66,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.heq?","doc":""},"Lean.Expr.headNumArgs.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/HeadIndex.lean#L57-L61","name":"Lean.Expr.headNumArgs.go","line":57,"kind":"def","docLink":"./Lean/HeadIndex.html#Lean.Expr.headNumArgs.go","doc":""},"Lean.Expr.headNumArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/HeadIndex.lean#L54-L61","name":"Lean.Expr.headNumArgs","line":54,"kind":"def","docLink":"./Lean/HeadIndex.html#Lean.Expr.headNumArgs","doc":"Return 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"},"Lean.Expr.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L596-L596","name":"Lean.Expr.hashEx","line":596,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hashEx","doc":""},"Lean.Expr.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L526-L527","name":"Lean.Expr.hash","line":526,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hash","doc":""},"Lean.Expr.hasSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L26-L27","name":"Lean.Expr.hasSyntheticSorry","line":26,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSyntheticSorry","doc":""},"Lean.Expr.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L23-L24","name":"Lean.Expr.hasSorry","line":23,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSorry","doc":""},"Lean.Expr.hasNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L29-L30","name":"Lean.Expr.hasNonSyntheticSorry","line":29,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasNonSyntheticSorry","doc":""},"Lean.Expr.hasMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L600-L600","name":"Lean.Expr.hasMVarEx","line":600,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVarEx","doc":""},"Lean.Expr.hasMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L556-L558","name":"Lean.Expr.hasMVar","line":556,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVar","doc":"Does the expression contain level (aka universe) or expression metavariables?\nThis is a constant time operation.\n"},"Lean.Expr.hasLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1121-L1122","name":"Lean.Expr.hasLooseBVars","line":1121,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVars","doc":""},"Lean.Expr.hasLooseBVarInExplicitDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1137-L1140","name":"Lean.Expr.hasLooseBVarInExplicitDomain","line":1137,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVarInExplicitDomain","doc":"Return true if `e` contains the loose bound variable `bvarIdx` in an explicit parameter, or in the range if `tryRange == true`. 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"},"Lean.Expr.getUsedConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FoldConsts.lean#L66-L67","name":"Lean.Expr.getUsedConstants","line":66,"kind":"def","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.getUsedConstants","doc":""},"Lean.Expr.getRevArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L964-L967","name":"Lean.Expr.getRevArgD","line":964,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArgD","doc":""},"Lean.Expr.getRevArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L969-L972","name":"Lean.Expr.getRevArg!","line":969,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArg!","doc":""},"Lean.Expr.getOptParamDefault?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1387-L1391","name":"Lean.Expr.getOptParamDefault?","line":1387,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getOptParamDefault?","doc":"Return `some e'` if `e` is of the form `optParam _ e'` "},"Lean.Expr.getForallBodyMaxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L894-L897","name":"Lean.Expr.getForallBodyMaxDepth","line":894,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBodyMaxDepth","doc":""},"Lean.Expr.getForallBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L890-L892","name":"Lean.Expr.getForallBody","line":890,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBody","doc":"Return the \"body\" of a forall expression.\nExample: let `e` be the representation for `forall (p : Prop) (q : Prop), p ∧ q`, then\n`getForallBody e` returns ``.app (.app (.const `And []) (.bvar 1)) (.bvar 0)``\n"},"Lean.Expr.getForallBinderNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L901-L903","name":"Lean.Expr.getForallBinderNames","line":901,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBinderNames","doc":"Given a sequence of nested foralls `(a₁ : α₁) → ... → (aₙ : αₙ) → _`,\nreturns the names `[a₁, ... aₙ]`. "},"Lean.Expr.getAutoParamTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1394-L1398","name":"Lean.Expr.getAutoParamTactic?","line":1394,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAutoParamTactic?","doc":"Return `some e'` if `e` is of the form `autoParam _ e'` "},"Lean.Expr.getArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L979-L980","name":"Lean.Expr.getArgD","line":979,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArgD","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or returns `v₀` if out of bounds. "},"Lean.Expr.getArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L975-L976","name":"Lean.Expr.getArg!","line":975,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArg!","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or panics if out of bounds. "},"Lean.Expr.getAppRevArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L937-L938","name":"Lean.Expr.getAppRevArgs","line":937,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppRevArgs","doc":"Same as `getAppArgs` but reverse the output array. "},"Lean.Expr.getAppNumArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L919-L920","name":"Lean.Expr.getAppNumArgs","line":919,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppNumArgs","doc":"Counts the number `n` of arguments for an expression `f a₁ .. aₙ`. "},"Lean.Expr.getAppFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L910-L912","name":"Lean.Expr.getAppFn","line":910,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppFn","doc":"If the given expression is a sequence of\nfunction applications `f a₁ .. aₙ`, return `f`.\nOtherwise return the input expression.\n"},"Lean.Expr.getAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L927-L930","name":"Lean.Expr.getAppArgs","line":927,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppArgs","doc":"Given `f a₁ a₂ ... aₙ`, returns `#[a₁, ..., aₙ]` "},"Lean.Expr.fvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1061-L1063","name":"Lean.Expr.fvarId!","line":1061,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.fvarId!","doc":""},"Lean.Expr.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L321-L334","name":"Lean.Expr.fvar","line":321,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.fvar","doc":"The `fvar` constructor represent free variables. These /free/ variable\noccurrences are not bound by an earlier `lam`, `forallE`, or `letE`\ncontructor and its binder exists in a local context only.\n\nNote that Lean uses the /locally nameless approach/. See [here](https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.365.2479&rep=rep1&type=pdf)\nfor additional details.\n\nWhen \"visiting\" the body of a binding expression (i.e. `lam`, `forallE`, or `letE`),\nbound variables are converted into free variables using a unique identifier,\nand their user-facing name, type, value (for `LetE`), and binder annotation\nare stored in the `LocalContext`.\n"},"Lean.Expr.forallE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L383-L400","name":"Lean.Expr.forallE","line":383,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.forallE","doc":"A dependent arrow `(a : α) → β)` (aka forall-expression) where `β` may dependent\non `a`. Note that this constructor is also used to represent non-dependent arrows\nwhere `β` does not depend on `a`.\n\nFor example:\n- `forall x : Prop, x ∧ x`:\n```lean\nExpr.forallE `x (.sort .zero)\n (.app (.app (.const `And []) (.bvar 0)) (.bvar 0)) .default\n```\n- `Nat → Bool`:\n```lean\nExpr.forallE `a (.const `Nat [])\n (.const `Bool []) .default\n```\n"},"Lean.Expr.forEachWhere":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/ForEachExprWhere.lean#L83-L83","name":"Lean.Expr.forEachWhere","line":83,"kind":"opaque","docLink":"./Lean/Util/ForEachExprWhere.html#Lean.Expr.forEachWhere","doc":"`e.forEachWhere p f` applies `f` to each subterm that satisfies `p`.\n"},"Lean.Expr.forEach'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/ForEachExpr.lean#L33-L34","name":"Lean.Expr.forEach'","line":33,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach'","doc":"Apply `f` to each sub-expression of `e`. If `f t` returns false, then t's children are not visited. "},"Lean.Expr.forEach":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/ForEachExpr.lean#L36-L37","name":"Lean.Expr.forEach","line":36,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach","doc":""},"Lean.Expr.foldConsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FoldConsts.lean#L64-L64","name":"Lean.Expr.foldConsts","line":64,"kind":"opaque","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.foldConsts","doc":"Apply `f` to every constant occurring in `e` once. "},"Lean.Expr.findMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindMVar.lean#L31-L32","name":"Lean.Expr.findMVar?","line":31,"kind":"def","docLink":"./Lean/Util/FindMVar.html#Lean.Expr.findMVar?","doc":""},"Lean.Expr.findLevelMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindLevelMVar.lean#L43-L44","name":"Lean.Expr.findLevelMVar?","line":43,"kind":"def","docLink":"./Lean/Util/FindLevelMVar.html#Lean.Expr.findLevelMVar?","doc":""},"Lean.Expr.findExt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindExpr.lean#L100-L100","name":"Lean.Expr.findExt?","line":100,"kind":"opaque","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.findExt?","doc":"Similar to `find?`, but `p` can return `FindStep.done` to interrupt the search on subterms.\nRemark: Differently from `find?`, we do not invoke `p` for partial applications of an application. "},"Lean.Expr.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindExpr.lean#L41-L52","name":"Lean.Expr.find?","line":41,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.find?","doc":""},"Lean.Expr.etaExpandedStrict?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1382-L1384","name":"Lean.Expr.etaExpandedStrict?","line":1382,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpandedStrict?","doc":"Similar to `etaExpanded?`, but only succeeds if `ₙ ≥ 1`. "},"Lean.Expr.etaExpanded?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1378-L1379","name":"Lean.Expr.etaExpanded?","line":1378,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpanded?","doc":"If `e` is of the form `(fun x₁ ... xₙ => f x₁ ... xₙ)` and `f` does not contain `x₁`, ..., `xₙ`,\nthen return `some f`. Otherwise, return `none`.\n\nIt assumes `e` does not have loose bound variables.\n\nRemark: `ₙ` may be 0\n"},"Lean.Expr.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1590-L1601","name":"Lean.Expr.eta","line":1590,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eta","doc":"Eta reduction. If `e` is of the form `(fun x => f x)`, then return `f`.\n"},"Lean.Expr.eqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L771-L771","name":"Lean.Expr.eqv","line":771,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eqv","doc":"Return true iff `a` and `b` are alpha equivalent.\nBinder annotations are ignored.\n"},"Lean.Expr.equal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L781-L781","name":"Lean.Expr.equal","line":781,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.equal","doc":"Return true iff `a` and `b` are equal.\nBinder names and annotations are taking into account.\n"},"Lean.Expr.eqOrIff?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L49-L53","name":"Lean.Expr.eqOrIff?","line":49,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eqOrIff?","doc":""},"Lean.Expr.eq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L40-L41","name":"Lean.Expr.eq?","line":40,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eq?","doc":""},"Lean.Expr.dbgToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L756-L756","name":"Lean.Expr.dbgToString","line":756,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.dbgToString","doc":""},"Lean.Expr.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L288-L507","name":"Lean.Expr.data","line":288,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.data","doc":""},"Lean.Expr.ctorWeight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ACLt.lean#L12-L24","name":"Lean.Expr.ctorWeight","line":12,"kind":"def","docLink":"./Lean/Meta/ACLt.html#Lean.Expr.ctorWeight","doc":""},"Lean.Expr.ctorName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L512-L524","name":"Lean.Expr.ctorName","line":512,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.ctorName","doc":"The constructor name for the given expression. This is used for debugging purposes. "},"Lean.Expr.containsFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1459-L1460","name":"Lean.Expr.containsFVar","line":1459,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.containsFVar","doc":"Return `true` if `e` contains the given free variable. "},"Lean.Expr.consumeTypeAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1425-L1431","name":"Lean.Expr.consumeTypeAnnotations","line":1425,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.consumeTypeAnnotations","doc":"Remove `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `consumeTypeAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `consumeTypeAnnotations e = e`.\n"},"Lean.Expr.consumeMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1105-L1107","name":"Lean.Expr.consumeMData","line":1105,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.consumeMData","doc":""},"Lean.Expr.constructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L135-L152","name":"Lean.Expr.constructorApp?","line":135,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.constructorApp?","doc":"If `e` is a constructor application, return a pair containing the corresponding `ConstructorVal` and the constructor\napplication arguments.\nThis function treats numerals as constructors. For example, if `e` is the numeral `2`, the result pair\nis `ConstructorVal` for `Nat.succ`, and the array `#[1]`. The parameter `useRaw` controls how the resulting\nnumeral is represented. If `useRaw := false`, then `mkNatLit` is used, otherwise `mkRawNatLit`.\nRecall that `mkNatLit` uses the `OfNat.ofNat` application which is the canonical way of representing numerals\nin the elaborator and tactic framework. We `useRaw := false` in the compiler (aka code generator).\n"},"Lean.Expr.constName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1049-L1051","name":"Lean.Expr.constName?","line":1049,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName?","doc":""},"Lean.Expr.constName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1045-L1047","name":"Lean.Expr.constName!","line":1045,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName!","doc":""},"Lean.Expr.constLevels!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1053-L1055","name":"Lean.Expr.constLevels!","line":1053,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constLevels!","doc":""},"Lean.Expr.const?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L11-L14","name":"Lean.Expr.const?","line":11,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.const?","doc":""},"Lean.Expr.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L352-L358","name":"Lean.Expr.const","line":352,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.const","doc":"A (universe polymorphic) constant that has been defined earlier in the module or\nby another imported module. For example, `@Eq.{1}` is represented\nas ``Expr.const `Eq [.succ .zero]``, and `@Array.map.{0, 0}` is represented\nas ``Expr.const `Array.map [.zero, .zero]``.\n"},"Lean.Expr.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/CollectMVars.lean#L38-L39","name":"Lean.Expr.collectMVars","line":38,"kind":"def","docLink":"./Lean/Util/CollectMVars.html#Lean.Expr.collectMVars","doc":""},"Lean.Expr.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CollectFVars.lean#L13-L15","name":"Lean.Expr.collectFVars","line":13,"kind":"def","docLink":"./Lean/Meta/CollectFVars.html#Lean.Expr.collectFVars","doc":""},"Lean.Expr.cleanupAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1440-L1442","name":"Lean.Expr.cleanupAnnotations","line":1440,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.cleanupAnnotations","doc":"Remove metadata annotations and `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `cleanupAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `cleanupAnnotations e = e`.\n"},"Lean.Expr.bvarIdx!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1057-L1059","name":"Lean.Expr.bvarIdx!","line":1057,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bvarIdx!","doc":""},"Lean.Expr.bvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L297-L319","name":"Lean.Expr.bvar","line":297,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.bvar","doc":"The `bvar` constructor represents bound variables, i.e. occurrences\nof a variable in the expression where there is a variable binder\nabove it (i.e. introduced by a `lam`, `forallE`, or `letE`).\n\nThe `deBruijnIndex` parameter is the *de-Bruijn* index for the bound\nvariable. See [here](https://en.wikipedia.org/wiki/De_Bruijn_index)\nfor additional information on de-Bruijn indexes.\n\nFor example, consider the expression `fun x : Nat => forall y : Nat, x = y`.\nThe `x` and `y` variables in the equality expression are constructed\nusing `bvar` and bound to the binders introduced by the earlier\n`lam` and `forallE` constructors. Here is the corresponding `Expr` representation\nfor the same expression:\n```lean\n.lam `x (.const `Nat [])\n (.forallE `y (.const `Nat [])\n (.app (.app (.app (.const `Eq [.succ .zero]) (.const `Nat [])) (.bvar 1)) (.bvar 0))\n .default)\n .default\n```\n"},"Lean.Expr.bindingName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1069-L1072","name":"Lean.Expr.bindingName!","line":1069,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingName!","doc":""},"Lean.Expr.bindingInfo!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1084-L1087","name":"Lean.Expr.bindingInfo!","line":1084,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingInfo!","doc":""},"Lean.Expr.bindingDomain!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1074-L1077","name":"Lean.Expr.bindingDomain!","line":1074,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingDomain!","doc":""},"Lean.Expr.bindingBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1079-L1082","name":"Lean.Expr.bindingBody!","line":1079,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingBody!","doc":""},"Lean.Expr.binderInfoEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L603-L603","name":"Lean.Expr.binderInfoEx","line":603,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfoEx","doc":""},"Lean.Expr.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L587-L591","name":"Lean.Expr.binderInfo","line":587,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfo","doc":"Return the binder information if `e` is a lambda or forall expression, and `.default` otherwise.\n"},"Lean.Expr.betaRev.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1303-L1325","name":"Lean.Expr.betaRev.go","line":1303,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.betaRev.go","doc":""},"Lean.Expr.betaRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1299-L1326","name":"Lean.Expr.betaRev","line":1299,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.betaRev","doc":"If `f` is a lambda expression, than \"beta-reduce\" it using `revArgs`.\nThis function is often used with `getAppRev` or `withAppRev`.\nExamples:\n- `betaRev (fun x y => t x y) #[]` ==> `fun x y => t x y`\n- `betaRev (fun x y => t x y) #[a]` ==> `fun y => t a y`\n- `betaRev (fun x y => t x y) #[a, b]` ==> `t b a`\n- `betaRev (fun x y => t x y) #[a, b, c, d]` ==> `t d c b a`\nSuppose `t` is `(fun x y => t x y) a b c d`, then\n`args := t.getAppRev` is `#[d, c, b, a]`,\nand `betaRev (fun x y => t x y) #[d, c, b, a]` is `t a b c d`.\n\nIf `useZeta` is true, the function also performs zeta-reduction (reduction of let binders) to create further\nopportunities for beta reduction.\n"},"Lean.Expr.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1332-L1333","name":"Lean.Expr.beta","line":1332,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.beta","doc":"Apply the given arguments to `f`, beta-reducing if `f` is a\nlambda expression. See docstring for `betaRev` for examples.\n"},"Lean.Expr.arrow?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L72-L74","name":"Lean.Expr.arrow?","line":72,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrow?","doc":""},"Lean.Expr.arrayLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L98-L102","name":"Lean.Expr.arrayLit?","line":98,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrayLit?","doc":""},"Lean.Expr.approxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L572-L573","name":"Lean.Expr.approxDepth","line":572,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.approxDepth","doc":"Return the approximated depth of an expression. This information is used to compute\nthe expression hash code, and speedup comparisons.\nThis is a constant time operation. We say it is approximate because it maxes out at `255`.\n"},"Lean.Expr.applyFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L73-L74","name":"Lean.Expr.applyFVarSubst","line":73,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Expr.applyFVarSubst","doc":""},"Lean.Expr.appFn!'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1012-L1015","name":"Lean.Expr.appFn!'","line":1012,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appFn!'","doc":""},"Lean.Expr.appFn!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1004-L1006","name":"Lean.Expr.appFn!","line":1004,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appFn!","doc":""},"Lean.Expr.appArg!'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1017-L1020","name":"Lean.Expr.appArg!'","line":1017,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appArg!'","doc":""},"Lean.Expr.appArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1008-L1010","name":"Lean.Expr.appArg!","line":1008,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appArg!","doc":""},"Lean.Expr.app4?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L34-L38","name":"Lean.Expr.app4?","line":34,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app4?","doc":""},"Lean.Expr.app3?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L28-L32","name":"Lean.Expr.app3?","line":28,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app3?","doc":""},"Lean.Expr.app2?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L22-L26","name":"Lean.Expr.app2?","line":22,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app2?","doc":""},"Lean.Expr.app1?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L16-L20","name":"Lean.Expr.app1?","line":16,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app1?","doc":""},"Lean.Expr.app":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L360-L370","name":"Lean.Expr.app","line":360,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.app","doc":"A function application.\n\nFor example, the natural number one, i.e. `Nat.succ Nat.zero` is represented as\n`Expr.app (.const `Nat.succ []) (.const .zero [])`\nNote that multiple arguments are represented using partial application.\n\nFor example, the two argument application `f x y` is represented as\n`Expr.app (.app f x) y`.\n"},"Lean.Expr.and?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L63-L64","name":"Lean.Expr.and?","line":63,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.and?","doc":""},"Lean.Expr.abstractRangeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L719-L720","name":"Lean.Expr.abstractRangeM","line":719,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Expr.abstractRangeM","doc":"Similar to `abstracM` but consider only the first `min n xs.size` entries in `xs`\n\nIt is also similar to `Expr.abstractRange`, but handles metavariables correctly.\nIt uses `elimMVarDeps` to ensure `e` and the type of the free variables `xs` do not\ncontain a metavariable `?m` s.t. local context of `?m` contains a free variable in `xs`.\n"},"Lean.Expr.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1207-L1207","name":"Lean.Expr.abstractRange","line":1207,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.abstractRange","doc":"Similar to `abstract`, but consider only the first `min n xs.size` entries in `xs`. "},"Lean.Expr.abstractM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L730-L731","name":"Lean.Expr.abstractM","line":730,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Expr.abstractM","doc":"Replace free (or meta) variables `xs` with loose bound variables.\nSimilar to `Expr.abstract`, but handles metavariables correctly.\n"},"Lean.Expr.abstract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1203-L1203","name":"Lean.Expr.abstract","line":1203,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.abstract","doc":"Replace free (or meta) variables `xs` with loose bound variables. 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"},"Lean.EnvExtensionEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L53-L53","name":"Lean.EnvExtensionEntry","line":53,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtensionEntry","doc":""},"Lean.EnvExtension.setState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L365-L365","name":"Lean.EnvExtension.setState","line":365,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.setState","doc":""},"Lean.EnvExtension.modifyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L366-L366","name":"Lean.EnvExtension.modifyState","line":366,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.modifyState","doc":""},"Lean.EnvExtension.instInhabitedEnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L364-L364","name":"Lean.EnvExtension.instInhabitedEnvExtension","line":364,"kind":"instance","docLink":"./Lean/Environment.html#Lean.EnvExtension.instInhabitedEnvExtension","doc":""},"Lean.EnvExtension.getState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L367-L367","name":"Lean.EnvExtension.getState","line":367,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.getState","doc":""},"Lean.EnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L358-L358","name":"Lean.EnvExtension","line":358,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension","doc":""},"Lean.EnumAttributes.setValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L286-L292","name":"Lean.EnumAttributes.setValue","line":286,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.setValue","doc":""},"Lean.EnumAttributes.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L239-L239","name":"Lean.EnumAttributes.mk","line":239,"kind":"ctor","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.mk","doc":""},"Lean.EnumAttributes.getValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L278-L284","name":"Lean.EnumAttributes.getValue","line":278,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.getValue","doc":""},"Lean.EnumAttributes.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L241-L241","name":"Lean.EnumAttributes.ext","line":241,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.ext","doc":""},"Lean.EnumAttributes.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L240-L240","name":"Lean.EnumAttributes.attrs","line":240,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.attrs","doc":""},"Lean.EnumAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L239-L242","name":"Lean.EnumAttributes","line":239,"kind":"structure","docLink":"./Lean/Attributes.html#Lean.EnumAttributes","doc":"Given a list `[a₁, ..., a_n]` of elements of type `α`, `EnumAttributes` provides an attribute `Attr_i` for\nassociating a value `a_i` with an declaration. `α` is usually an enumeration type.\nNote that whenever we register an `EnumAttributes`, we create `n` attributes, but only one environment extension. "},"Lean.Elab.withoutModifyingStateWithInfoAndMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1714-L1715","name":"Lean.Elab.withoutModifyingStateWithInfoAndMessages","line":1714,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.withoutModifyingStateWithInfoAndMessages","doc":""},"Lean.Elab.withSaveInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L314-L324","name":"Lean.Elab.withSaveInfoContext","line":314,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withSaveInfoContext","doc":"Resets the trees state `t₀`, runs `x` to produce a new trees\nstate `t₁` and sets the state to be `t₀ ++ (InfoTree.context Γ <$> t₁)`\nwhere `Γ` is the context derived from the monad state. "},"Lean.Elab.withMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L334-L340","name":"Lean.Elab.withMacroExpansionInfo","line":334,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withMacroExpansionInfo","doc":""},"Lean.Elab.withLogging":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L207-L209","name":"Lean.Elab.withLogging","line":207,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.withLogging","doc":""},"Lean.Elab.withInfoTreeContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L297-L305","name":"Lean.Elab.withInfoTreeContext","line":297,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoTreeContext","doc":"Saves the current list of trees `t₀`, runs `x` to produce a new tree list `t₁` and\nruns `mkInfoTree t₁` to get `n : InfoTree` and then restores the trees to be `t₀ ++ [n]`."},"Lean.Elab.withInfoHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L342-L352","name":"Lean.Elab.withInfoHole","line":342,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoHole","doc":""},"Lean.Elab.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L280-L293","name":"Lean.Elab.withInfoContext'","line":280,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext'","doc":"Use this to descend a node on the infotree that is being built.\n\nIt saves the current list of trees `t₀` and resets it and then runs `x >>= mkInfo`, producing either an `i : Info` or a hole id.\nRunning `x >>= mkInfo` will modify the trees state and produce a new list of trees `t₁`.\nIn the `i : Info` case, `t₁` become the children of a node `node i t₁` that is appended to `t₀`.\n "},"Lean.Elab.withInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L308-L309","name":"Lean.Elab.withInfoContext","line":308,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext","doc":"Run `x` as a new child infotree node with header given by `mkInfo`. "},"Lean.Elab.withEnableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L357-L363","name":"Lean.Elab.withEnableInfoTree","line":357,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withEnableInfoTree","doc":""},"Lean.Elab.withCommonTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Main.lean#L48-L55","name":"Lean.Elab.withCommonTelescope.go","line":48,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope.go","doc":""},"Lean.Elab.withCommonTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Main.lean#L45-L55","name":"Lean.Elab.withCommonTelescope","line":45,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope","doc":""},"Lean.Elab.wfRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Main.lean#L81-L113","name":"Lean.Elab.wfRecursion","line":81,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.wfRecursion","doc":""},"Lean.Elab.unsupportedSyntaxExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L12-L12","name":"Lean.Elab.unsupportedSyntaxExceptionId","line":12,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.unsupportedSyntaxExceptionId","doc":""},"Lean.Elab.toAttributeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L28-L36","name":"Lean.Elab.toAttributeKind","line":28,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.toAttributeKind","doc":"```\nattrKind := leading_parser optional («scoped» <|> «local»)\n```\n"},"Lean.Elab.throwUnsupportedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L21-L22","name":"Lean.Elab.throwUnsupportedSyntax","line":21,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwUnsupportedSyntax","doc":""},"Lean.Elab.throwPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L18-L19","name":"Lean.Elab.throwPostpone","line":18,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwPostpone","doc":""},"Lean.Elab.throwIllFormedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L24-L25","name":"Lean.Elab.throwIllFormedSyntax","line":24,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwIllFormedSyntax","doc":""},"Lean.Elab.throwErrorWithNestedErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L222-L223","name":"Lean.Elab.throwErrorWithNestedErrors","line":222,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.throwErrorWithNestedErrors","doc":""},"Lean.Elab.throwAutoBoundImplicitLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L27-L28","name":"Lean.Elab.throwAutoBoundImplicitLocal","line":27,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAutoBoundImplicitLocal","doc":""},"Lean.Elab.throwAlreadyDeclaredUniverseLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L39-L40","name":"Lean.Elab.throwAlreadyDeclaredUniverseLevel","line":39,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAlreadyDeclaredUniverseLevel","doc":""},"Lean.Elab.throwAbortTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L47-L48","name":"Lean.Elab.throwAbortTerm","line":47,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTerm","doc":""},"Lean.Elab.throwAbortTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L51-L52","name":"Lean.Elab.throwAbortTactic","line":51,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTactic","doc":""},"Lean.Elab.throwAbortCommand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L43-L44","name":"Lean.Elab.throwAbortCommand","line":43,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortCommand","doc":""},"Lean.Elab.syntaxNodeKindOfAttrParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L80-L86","name":"Lean.Elab.syntaxNodeKindOfAttrParam","line":80,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.syntaxNodeKindOfAttrParam","doc":""},"Lean.Elab.sortDeclLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L75-L82","name":"Lean.Elab.sortDeclLevelParams","line":75,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.sortDeclLevelParams","doc":"Sort the given list of `usedParams` using the following order:\n- If it is an explicit level `allUserParams`, then use user given order.\n- Otherwise, use lexicographical.\n\nRemark: `scopeParams` are the universe params introduced using the `universe` command. `allUserParams` contains\nthe universe params introduced using the `universe` command *and* the `.{...}` notation.\n\nRemark: this function return an exception if there is an `u` not in `usedParams`, that is in `allUserParams` but not in `scopeParams`.\n\nRemark: `explicitParams` are in reverse declaration order. That is, the head is the last declared parameter. "},"Lean.Elab.setInfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L207-L208","name":"Lean.Elab.setInfoState","line":207,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.setInfoState","doc":""},"Lean.Elab.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Meta.lean#L13-L17","name":"Lean.Elab.runTactic","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Meta.html#Lean.Elab.runTactic","doc":"Apply the give tactic code to `mvarId` in `MetaM`. "},"Lean.Elab.runFrontend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Frontend.lean#L95-L123","name":"Lean.Elab.runFrontend","line":95,"kind":"def","docLink":"./Lean/Elab/Frontend.html#Lean.Elab.runFrontend","doc":""},"Lean.Elab.resolveGlobalNameWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L266-L272","name":"Lean.Elab.resolveGlobalNameWithInfos","line":266,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalNameWithInfos","doc":"Similar to `resolveGlobalName`, but it also adds the resolved name to the info tree. "},"Lean.Elab.resolveGlobalConstWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L257-L263","name":"Lean.Elab.resolveGlobalConstWithInfos","line":257,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstWithInfos","doc":"Similar to `resolveGlobalConstNoOverloadWithInfo`, except if there are multiple name resolutions then it returns them as a list. "},"Lean.Elab.resolveGlobalConstNoOverloadWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L248-L254","name":"Lean.Elab.resolveGlobalConstNoOverloadWithInfo","line":248,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstNoOverloadWithInfo","doc":"This does the same job as `resolveGlobalConstNoOverload`; resolving an identifier\nsyntax to a unique fully resolved name or throwing if there are ambiguities.\nBut also adds this resolved name to the infotree. 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`Macro.Exception.unsupportedSyntax`.\n"},"Lean.Elab.expandDeclSig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L50-L54","name":"Lean.Elab.expandDeclSig","line":50,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.expandDeclSig","doc":""},"Lean.Elab.expandDeclIdCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L210-L216","name":"Lean.Elab.expandDeclIdCore","line":210,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclIdCore","doc":"`declId` is of the form\n```\nleading_parser ident >> optional (\".{\" >> sepBy1 ident \", \" >> \"}\")\n```\nbut we also accept a single identifier to users to make macro writing more convenient .\n"},"Lean.Elab.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L237-L254","name":"Lean.Elab.expandDeclId","line":237,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclId","doc":"Given a declaration identifier (e.g., `ident (\".{\" ident,+ \"}\")?`) that may contain explicit universe parameters\n- Ensure the new universe parameters do not shadow universe parameters declared using `universe` command.\n- Create the fully qualified named for the declaration using the current namespace, and given `modifiers`\n- Create a short version for recursively referring to the declaration. Recall that the `protected` modifier affects the generation of the short name.\n\nThe result also contains the universe parameters provided using `universe` command, and the `.{...}` notation.\n\nThis commands also stores the doc string stored in `modifiers`.\n"},"Lean.Elab.evalSyntaxConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L92-L92","name":"Lean.Elab.evalSyntaxConstant","line":92,"kind":"opaque","docLink":"./Lean/Elab/Util.html#Lean.Elab.evalSyntaxConstant","doc":""},"Lean.Elab.eraseRecAppSyntaxExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L136-L137","name":"Lean.Elab.eraseRecAppSyntaxExpr","line":136,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntaxExpr","doc":"Eliminate recursive application annotations containing syntax. These annotations are used by the well-founded recursion module\nto produce better error messages. "},"Lean.Elab.eraseRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L139-L140","name":"Lean.Elab.eraseRecAppSyntax","line":139,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntax","doc":""},"Lean.Elab.ensureNoRecFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L181-L188","name":"Lean.Elab.ensureNoRecFn","line":181,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.ensureNoRecFn","doc":""},"Lean.Elab.enableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L354-L355","name":"Lean.Elab.enableInfoTree","line":354,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.enableInfoTree","doc":""},"Lean.Elab.elabSetOption.setOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SetOption.lean#L21-L23","name":"Lean.Elab.elabSetOption.setOption","line":21,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption.setOption","doc":""},"Lean.Elab.elabSetOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SetOption.lean#L13-L34","name":"Lean.Elab.elabSetOption","line":13,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption","doc":""},"Lean.Elab.elabModifiers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L117-L147","name":"Lean.Elab.elabModifiers","line":117,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.elabModifiers","doc":"Elaborate declaration modifiers (i.e., attributes, `partial`, `private`, `proctected`, `unsafe`, `noncomputable`, doc string)"},"Lean.Elab.elabDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L100-L113","name":"Lean.Elab.elabDeriving","line":100,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.elabDeriving","doc":""},"Lean.Elab.elabDeclAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L67-L68","name":"Lean.Elab.elabDeclAttrs","line":67,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabDeclAttrs","doc":""},"Lean.Elab.elabAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L57-L64","name":"Lean.Elab.elabAttrs","line":57,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttrs","doc":""},"Lean.Elab.elabAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L41-L55","name":"Lean.Elab.elabAttr","line":41,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttr","doc":""},"Lean.Elab.derivingHandlersRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L66-L66","name":"Lean.Elab.derivingHandlersRef","line":66,"kind":"opaque","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.derivingHandlersRef","doc":""},"Lean.Elab.defaultHandler":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L84-L85","name":"Lean.Elab.defaultHandler","line":84,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.defaultHandler","doc":""},"Lean.Elab.checkSyntaxNodeKindAtNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L71-L74","name":"Lean.Elab.checkSyntaxNodeKindAtNamespaces","line":71,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L76-L78","name":"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","line":76,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L67-L69","name":"Lean.Elab.checkSyntaxNodeKind","line":67,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKind","doc":""},"Lean.Elab.checkNotAlreadyDeclared":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L16-L37","name":"Lean.Elab.checkNotAlreadyDeclared","line":16,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkNotAlreadyDeclared","doc":"Ensure the environment does not contain a declaration with name `declName`.\nRecall that a private declaration cannot shadow a non-private one and vice-versa, although\nthey internally have different names.\n"},"Lean.Elab.checkIfShadowingStructureField":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L168-L176","name":"Lean.Elab.checkIfShadowingStructureField","line":168,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkIfShadowingStructureField","doc":""},"Lean.Elab.autoImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/AutoBound.lean#L12-L15","name":"Lean.Elab.autoImplicit","line":12,"kind":"opaque","docLink":"./Lean/Elab/AutoBound.html#Lean.Elab.autoImplicit","doc":""},"Lean.Elab.autoBoundImplicitExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L16-L16","name":"Lean.Elab.autoBoundImplicitExceptionId","line":16,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.autoBoundImplicitExceptionId","doc":""},"Lean.Elab.assignInfoHoleId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L329-L331","name":"Lean.Elab.assignInfoHoleId","line":329,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.assignInfoHoleId","doc":""},"Lean.Elab.applyVisibility":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L154-L166","name":"Lean.Elab.applyVisibility","line":154,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.applyVisibility","doc":"Ensure the function has not already been declared, and apply the given visibility setting to `declName`.\nIf `private`, return the updated name using our internal encoding for private names.\nIf `protected`, register `declName` as protected in the environment.\n"},"Lean.Elab.applyDerivingHandlers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L87-L94","name":"Lean.Elab.applyDerivingHandlers","line":87,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.applyDerivingHandlers","doc":""},"Lean.Elab.applyAttributesOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L61-L63","name":"Lean.Elab.applyAttributesOf","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.applyAttributesOf","doc":""},"Lean.Elab.admitGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L12-L15","name":"Lean.Elab.admitGoal","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.admitGoal","doc":"Assign `mvarId := sorry` "},"Lean.Elab.addPreDefinitions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L97-L164","name":"Lean.Elab.addPreDefinitions","line":97,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.addPreDefinitions","doc":""},"Lean.Elab.addNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L130-L131","name":"Lean.Elab.addNonRec","line":130,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addNonRec","doc":""},"Lean.Elab.addMacroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L56-L65","name":"Lean.Elab.addMacroStack","line":56,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.addMacroStack","doc":""},"Lean.Elab.addDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclarationRange.lean#L54-L61","name":"Lean.Elab.addDeclarationRanges","line":54,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addDeclarationRanges","doc":"Store the `range` and `selectionRange` for `declName` where `stx` is the whole syntax object decribing `declName`.\nThis method is for the builtin declarations only.\nUser-defined commands should use `Lean.addDeclarationRanges` to store this information for their commands. "},"Lean.Elab.addConstInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L234-L242","name":"Lean.Elab.addConstInfo","line":234,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addConstInfo","doc":""},"Lean.Elab.addCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L231-L232","name":"Lean.Elab.addCompletionInfo","line":231,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addCompletionInfo","doc":""},"Lean.Elab.addAuxDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclarationRange.lean#L64-L68","name":"Lean.Elab.addAuxDeclarationRanges","line":64,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addAuxDeclarationRanges","doc":"Auxiliary method for recording ranges for auxiliary declarations (e.g., fields, nested declarations, etc. "},"Lean.Elab.addAsAxiom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L73-L75","name":"Lean.Elab.addAsAxiom","line":73,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAsAxiom","doc":"Auxiliary method for (temporarily) adding pre definition as an axiom "},"Lean.Elab.addAndCompileUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L142-L161","name":"Lean.Elab.addAndCompileUnsafe","line":142,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileUnsafe","doc":""},"Lean.Elab.addAndCompilePartialRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L163-L176","name":"Lean.Elab.addAndCompilePartialRec","line":163,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompilePartialRec","doc":""},"Lean.Elab.addAndCompileNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L127-L128","name":"Lean.Elab.addAndCompileNonRec","line":127,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileNonRec","doc":""},"Lean.Elab.adaptMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L183-L184","name":"Lean.Elab.adaptMacro","line":183,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.adaptMacro","doc":""},"Lean.Elab.abstractNestedProofs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L65-L70","name":"Lean.Elab.abstractNestedProofs","line":65,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.abstractNestedProofs","doc":""},"Lean.Elab.abortTermExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L14-L14","name":"Lean.Elab.abortTermExceptionId","line":14,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTermExceptionId","doc":""},"Lean.Elab.abortTacticExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L15-L15","name":"Lean.Elab.abortTacticExceptionId","line":15,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTacticExceptionId","doc":""},"Lean.Elab.abortCommandExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L13-L13","name":"Lean.Elab.abortCommandExceptionId","line":13,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortCommandExceptionId","doc":""},"Lean.Elab.WF.withFixedPrefix.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L126-L131","name":"Lean.Elab.WF.withFixedPrefix.go","line":126,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix.go","doc":""},"Lean.Elab.WF.withFixedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L123-L131","name":"Lean.Elab.WF.withFixedPrefix","line":123,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix","doc":""},"Lean.Elab.WF.simpMatchWF?.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L112-L127","name":"Lean.Elab.WF.simpMatchWF?.pre","line":112,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?.pre","doc":""},"Lean.Elab.WF.simpMatchWF?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L105-L127","name":"Lean.Elab.WF.simpMatchWF?","line":105,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?","doc":"Simplify `match`-expressions when trying to prove equation theorems for a recursive declaration defined using well-founded recursion.\nIt is similar to `simpMatch?`, but is also tries to fold `WellFounded.fix` applications occurring in discriminants.\nSee comment at `tryToFoldWellFoundedFix`.\n"},"Lean.Elab.WF.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L211-L222","name":"Lean.Elab.WF.registerEqnsInfo","line":211,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.registerEqnsInfo","doc":""},"Lean.Elab.WF.packMutual":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L174-L188","name":"Lean.Elab.WF.packMutual","line":174,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.packMutual","doc":"If `preDefs.size > 1`, combine different functions in a single one using `PSum`.\nThis method assumes all `preDefs` have arity 1, and have already been processed using `packDomain`.\nHere is a small example. Suppose the input is\n```\nf x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (g ⟨x.1, n, a, b⟩).fst\ng x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (h ⟨x.1, n, a, b⟩, a)\nh x =>\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b => f ⟨x.1, n, a, b⟩\n```\nthis method produces the following pre definition\n```\nf._mutual x :=\n PSum.casesOn x\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inl ⟨val.1, n, a, b⟩))).fst\n fun val =>\n PSum.casesOn val\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inr ⟨val.1, n, a, b⟩)), a)\n fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b =>\n f._mutual (PSum.inl ⟨val.1, n, a, b⟩)\n```\n\nRemark: `preDefsOriginal` is used for error reporting, it contains the definitions before applying `packDomain`.\n"},"Lean.Elab.WF.packDomain.packApplications.visitApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L148-L173","name":"Lean.Elab.WF.packDomain.packApplications.visitApp","line":148,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visitApp","doc":""},"Lean.Elab.WF.packDomain.packApplications.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L131-L147","name":"Lean.Elab.WF.packDomain.packApplications.visit","line":131,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visit","doc":""},"Lean.Elab.WF.packDomain.packApplications":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L121-L174","name":"Lean.Elab.WF.packDomain.packApplications","line":121,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications","doc":""},"Lean.Elab.WF.packDomain.isAppOfPreDef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L116-L119","name":"Lean.Elab.WF.packDomain.isAppOfPreDef?","line":116,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.isAppOfPreDef?","doc":"Return `some i` if `e` is a `preDefs[i]` application "},"Lean.Elab.WF.packDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L61-L174","name":"Lean.Elab.WF.packDomain","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain","doc":"Convert the given pre-definitions into unary functions.\nWe \"pack\" the arguments using `PSigma`.\n"},"Lean.Elab.WF.mkUnaryArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L29-L41","name":"Lean.Elab.WF.mkUnaryArg.go","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg.go","doc":""},"Lean.Elab.WF.mkUnaryArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L26-L41","name":"Lean.Elab.WF.mkUnaryArg","line":26,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg","doc":"Create a unary application by packing the given arguments using `PSigma.mk` "},"Lean.Elab.WF.mkFix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Fix.lean#L166-L189","name":"Lean.Elab.WF.mkFix","line":166,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Fix.html#Lean.Elab.WF.mkFix","doc":""},"Lean.Elab.WF.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L187-L207","name":"Lean.Elab.WF.mkEqns","line":187,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.mkEqns","doc":""},"Lean.Elab.WF.instInhabitedTerminationHintValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L15-L15","name":"Lean.Elab.WF.instInhabitedTerminationHintValue","line":15,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHintValue","doc":""},"Lean.Elab.WF.instInhabitedTerminationHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L21-L21","name":"Lean.Elab.WF.instInhabitedTerminationHint","line":21,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHint","doc":""},"Lean.Elab.WF.instInhabitedTerminationByElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L84-L84","name":"Lean.Elab.WF.instInhabitedTerminationByElement","line":84,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationByElement","doc":""},"Lean.Elab.WF.instInhabitedTerminationBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L93-L93","name":"Lean.Elab.WF.instInhabitedTerminationBy","line":93,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationBy","doc":""},"Lean.Elab.WF.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L19-L19","name":"Lean.Elab.WF.instInhabitedEqnInfo","line":19,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.instInhabitedEqnInfo","doc":""},"Lean.Elab.WF.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L230-L232","name":"Lean.Elab.WF.getUnfoldFor?","line":230,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.getUnfoldFor?","doc":""},"Lean.Elab.WF.getNumCandidateArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Rel.lean#L56-L59","name":"Lean.Elab.WF.getNumCandidateArgs","line":56,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getNumCandidateArgs","doc":""},"Lean.Elab.WF.getForbiddenByTrivialSizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Rel.lean#L68-L78","name":"Lean.Elab.WF.getForbiddenByTrivialSizeOf","line":68,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getForbiddenByTrivialSizeOf","doc":"Given a predefinition with value `fun (x_₁ ... xₙ) (y_₁ : α₁)... (yₘ : αₘ) => ...`,\nwhere `n = fixedPrefixSize`, return an array `A` s.t. `i ∈ A` iff `sizeOf yᵢ` reduces to a literal.\nThis is the case for types such as `Prop`, `Type u`, etc.\nThis arguments should not be considered when guessing a well-founded relation.\nSee 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"},"Lean.Elab.UserWidgetInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.UserWidgetInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo.mk","doc":""},"Lean.Elab.UserWidgetInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L144-L145","name":"Lean.Elab.UserWidgetInfo.format","line":144,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.UserWidgetInfo.format","doc":""},"Lean.Elab.UserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L102-L108","name":"Lean.Elab.UserWidgetInfo","line":102,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo","doc":"An info that represents a user-widget.\nUser-widgets are custom pieces of code that run on the editor client.\nYou can learn about user widgets at `src/Lean/Widget/UserWidget`\n"},"Lean.Elab.TerminationHints.terminationBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L17-L17","name":"Lean.Elab.TerminationHints.terminationBy?","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.terminationBy?","doc":""},"Lean.Elab.TerminationHints.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L1-L1","name":"Lean.Elab.TerminationHints.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.mk","doc":""},"Lean.Elab.TerminationHints.decreasingBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L18-L18","name":"Lean.Elab.TerminationHints.decreasingBy?","line":18,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.decreasingBy?","doc":""},"Lean.Elab.TerminationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L16-L19","name":"Lean.Elab.TerminationHints","line":16,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints","doc":""},"Lean.Elab.TermInfo.runMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L99-L100","name":"Lean.Elab.TermInfo.runMetaM","line":99,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.runMetaM","doc":""},"Lean.Elab.TermInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TermInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.mk","doc":""},"Lean.Elab.TermInfo.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L37-L37","name":"Lean.Elab.TermInfo.lctx","line":37,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.lctx","doc":""},"Lean.Elab.TermInfo.isBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L40-L40","name":"Lean.Elab.TermInfo.isBinder","line":40,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.isBinder","doc":""},"Lean.Elab.TermInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L102-L108","name":"Lean.Elab.TermInfo.format","line":102,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.format","doc":""},"Lean.Elab.TermInfo.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L39-L39","name":"Lean.Elab.TermInfo.expr","line":39,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expr","doc":""},"Lean.Elab.TermInfo.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L38-L38","name":"Lean.Elab.TermInfo.expectedType?","line":38,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expectedType?","doc":""},"Lean.Elab.TermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L36-L41","name":"Lean.Elab.TermInfo","line":36,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo","doc":""},"Lean.Elab.Term.withoutSavingRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L358-L359","name":"Lean.Elab.Term.withoutSavingRecAppSyntax","line":358,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutSavingRecAppSyntax","doc":"Execute `x` without storing `Syntax` for recursive applications. See `saveRecAppSyntax` field at `Context`.\n"},"Lean.Elab.Term.withoutPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L576-L577","name":"Lean.Elab.Term.withoutPostponing","line":576,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutPostponing","doc":"Execute `x` without allowing it to postpone elaboration tasks.\nThat is, `tryPostpone` is a noop. "},"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L335-L342","name":"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","line":335,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","doc":"Execute `x` but discard changes performed at `Term.State` and `Meta.State`.\nRecall that the `Environment` and `InfoState` are at `Core.State`. Thus, any updates to it will\nbe preserved. This method is useful for performing computations where all\nmetavariable must be resolved or discarded.\nThe `InfoTree`s are not discarded, however, and wrapped in `InfoTree.Context`\nto store their metavariable context. "},"Lean.Elab.Term.withoutMacroStackAtErr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L668-L669","name":"Lean.Elab.Term.withoutMacroStackAtErr","line":668,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutMacroStackAtErr","doc":""},"Lean.Elab.Term.withoutErrToSorryImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L424-L425","name":"Lean.Elab.Term.withoutErrToSorryImp","line":424,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorryImp","doc":""},"Lean.Elab.Term.withoutErrToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L431-L432","name":"Lean.Elab.Term.withoutErrToSorry","line":431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorry","doc":"Execute `x` without converting errors (i.e., exceptions) to `sorry` applications.\nRecall that when `errToSorry = true`, the method `elabTerm` catches exceptions and converts them into `sorry` applications.\n"},"Lean.Elab.Term.withoutAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1494-L1495","name":"Lean.Elab.Term.withoutAutoBoundImplicit","line":1494,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutAutoBoundImplicit","doc":""},"Lean.Elab.Term.withSynthesizeLight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L467-L468","name":"Lean.Elab.Term.withSynthesizeLight","line":467,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesizeLight","doc":"Similar to `withSynthesize`, but sets `mayPostpone` to `true`, and do not use `synthesizeUsingDefault` "},"Lean.Elab.Term.withSynthesize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L463-L464","name":"Lean.Elab.Term.withSynthesize","line":463,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesize","doc":"Execute `k`, and synthesize pending synthetic metavariables created while executing `k` are solved.\nIf `mayPostpone == false`, then all of them must be synthesized.\nRemark: even if `mayPostpone == true`, the method still uses `synthesizeUsingDefault` "},"Lean.Elab.Term.withSavedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L866-L869","name":"Lean.Elab.Term.withSavedContext","line":866,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withSavedContext","doc":"Execute `x` with the context saved using `saveContext`.\n"},"Lean.Elab.Term.withPushMacroExpansionStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L460-L461","name":"Lean.Elab.Term.withPushMacroExpansionStack","line":460,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withPushMacroExpansionStack","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Term.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L464-L466","name":"Lean.Elab.Term.withMacroExpansion","line":464,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack and produce macro expansion info "},"Lean.Elab.Term.withLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L410-L413","name":"Lean.Elab.Term.withLevelNames","line":410,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withLevelNames","doc":"Execute `x` using `levelNames` as the universe level parameter names. See `getLevelNames`. "},"Lean.Elab.Term.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L964-L969","name":"Lean.Elab.Term.withInfoContext'","line":964,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withInfoContext'","doc":""},"Lean.Elab.Term.withDepElimPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L720-L721","name":"Lean.Elab.Term.withDepElimPatterns","line":720,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.withDepElimPatterns","doc":""},"Lean.Elab.Term.withDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L402-L403","name":"Lean.Elab.Term.withDeclName","line":402,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withDeclName","doc":"Execute `x` with `declName? := name`. See `getDeclName?`. "},"Lean.Elab.Term.withAuxDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L419-L422","name":"Lean.Elab.Term.withAuxDecl","line":419,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAuxDecl","doc":"Declare an auxiliary local declaration `shortDeclName : type` for elaborating recursive declaration `declName`,\nupdate the mapping `auxDeclToFullName`, and then execute `k`.\n"},"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1497-L1498","name":"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","line":1497,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","doc":""},"Lean.Elab.Term.withAutoBoundImplicit.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1478-L1489","name":"Lean.Elab.Term.withAutoBoundImplicit.loop","line":1478,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit.loop","doc":""},"Lean.Elab.Term.withAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1474-L1492","name":"Lean.Elab.Term.withAutoBoundImplicit","line":1474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit","doc":"Enable auto-bound implicits, and execute `k` while catching auto bound implicit exceptions. When an exception is caught,\na new local declaration is created, registered, and `k` is tried to be executed again. "},"Lean.Elab.Term.universeConstraintsCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1684-L1687","name":"Lean.Elab.Term.universeConstraintsCheckpoint","line":1684,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.universeConstraintsCheckpoint","doc":"Execute `x` and then tries to solve pending universe constraints.\nNote that, stuck constraints will not be discarded.\n"},"Lean.Elab.Term.tryPostponeIfNoneOrMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L823-L826","name":"Lean.Elab.Term.tryPostponeIfNoneOrMVar","line":823,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfNoneOrMVar","doc":"If `e? = some e`, then `tryPostponeIfMVar e`, otherwise it is just `tryPostpone`. "},"Lean.Elab.Term.tryPostponeIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L818-L820","name":"Lean.Elab.Term.tryPostponeIfMVar","line":818,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfMVar","doc":"If `mayPostpone == true` and `e`'s head is a metavariable, throw `Exception.postpone`. "},"Lean.Elab.Term.tryPostponeIfHasMVars?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L832-L839","name":"Lean.Elab.Term.tryPostponeIfHasMVars?","line":832,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars?","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIt is a noop if `mayPostpone == false`.\n"},"Lean.Elab.Term.tryPostponeIfHasMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L845-L848","name":"Lean.Elab.Term.tryPostponeIfHasMVars","line":845,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIf `mayPostpone == false`, it throws error `msg`.\n"},"Lean.Elab.Term.tryPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L809-L811","name":"Lean.Elab.Term.tryPostpone","line":809,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostpone","doc":"If `mayPostpone == true`, throw `Expection.postpone`. "},"Lean.Elab.Term.traceAtCmdPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L439-L440","name":"Lean.Elab.Term.traceAtCmdPos","line":439,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.traceAtCmdPos","doc":""},"Lean.Elab.Term.toParserDescr.processSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L138-L147","name":"Lean.Elab.Term.toParserDescr.processSeq","line":138,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSeq","doc":"Sequence (aka NullNode) "},"Lean.Elab.Term.toParserDescr.processSepBy1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L227-L232","name":"Lean.Elab.Term.toParserDescr.processSepBy1","line":227,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy1","doc":""},"Lean.Elab.Term.toParserDescr.processSepBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L220-L225","name":"Lean.Elab.Term.toParserDescr.processSepBy","line":220,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy","doc":""},"Lean.Elab.Term.toParserDescr.processParserCategory":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L153-L159","name":"Lean.Elab.Term.toParserDescr.processParserCategory","line":153,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processParserCategory","doc":""},"Lean.Elab.Term.toParserDescr.processNullaryOrCat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L193-L218","name":"Lean.Elab.Term.toParserDescr.processNullaryOrCat","line":193,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNullaryOrCat","doc":""},"Lean.Elab.Term.toParserDescr.processNonReserved":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L254-L256","name":"Lean.Elab.Term.toParserDescr.processNonReserved","line":254,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNonReserved","doc":""},"Lean.Elab.Term.toParserDescr.processAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L241-L252","name":"Lean.Elab.Term.toParserDescr.processAtom","line":241,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAtom","doc":""},"Lean.Elab.Term.toParserDescr.processAlias":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L161-L191","name":"Lean.Elab.Term.toParserDescr.processAlias","line":161,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAlias","doc":""},"Lean.Elab.Term.toParserDescr.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L109-L135","name":"Lean.Elab.Term.toParserDescr.process","line":109,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.process","doc":""},"Lean.Elab.Term.toParserDescr.isValidAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L234-L239","name":"Lean.Elab.Term.toParserDescr.isValidAtom","line":234,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.isValidAtom","doc":""},"Lean.Elab.Term.toParserDescr.ensureNoPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L149-L151","name":"Lean.Elab.Term.toParserDescr.ensureNoPrec","line":149,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.ensureNoPrec","doc":""},"Lean.Elab.Term.toParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L103-L256","name":"Lean.Elab.Term.toParserDescr","line":103,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr","doc":"Given a `stx` of category `syntax`, return a `(newStx, lhsPrec?)`,\nwhere `newStx` is of category `term`. After elaboration, `newStx` should have type\n`TrailingParserDescr` if `lhsPrec?.isSome`, and `ParserDescr` otherwise. "},"Lean.Elab.Term.throwTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L647-L666","name":"Lean.Elab.Term.throwTypeMismatchError","line":647,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwTypeMismatchError","doc":""},"Lean.Elab.Term.throwMVarError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L502-L506","name":"Lean.Elab.Term.throwMVarError","line":502,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwMVarError","doc":"Auxiliary method for reporting errors of the form \"... contains metavariables ...\".\nThis kind of error is thrown, for example, at `Match.lean` where elaboration\ncannot continue if there are metavariables in patterns.\nWe only want to log it if we haven't logged any errors so far. "},"Lean.Elab.Term.throwInvalidNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L33-L36","name":"Lean.Elab.Term.throwInvalidNamedArg","line":33,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.throwInvalidNamedArg","doc":""},"Lean.Elab.Term.throwErrorIfErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L435-L437","name":"Lean.Elab.Term.throwErrorIfErrors","line":435,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwErrorIfErrors","doc":"For testing `TermElabM` methods. The #eval command will sign the error. "},"Lean.Elab.Term.termElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L367-L367","name":"Lean.Elab.Term.termElabAttribute","line":367,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.termElabAttribute","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L443-L445","name":"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","line":443,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L434-L435","name":"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","line":434,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L397-L428","name":"Lean.Elab.Term.synthesizeSyntheticMVars.loop","line":397,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars.loop","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L396-L431","name":"Lean.Elab.Term.synthesizeSyntheticMVars","line":396,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars","doc":"Try to process pending synthetic metavariables. If `mayPostpone == false`,\nthen `pendingMVars` is `[]` after executing this method.\n\nIt keeps executing `synthesizeSyntheticMVarsStep` while progress is being made.\nIf `mayPostpone == false`, then it applies default instances to `SyntheticMVarKind.typeClass` (if available)\nmetavariables that are still unresolved, and then tries to resolve metavariables\nwith `mayPostpone == false`. That is, we force them to produce error messages and/or commit to\na \"best option\". If, after that, we still haven't made progress, we report \"stuck\" errors.\n\nRemark: we set `ignoreStuckTC := true` when elaborating `simp` arguments. Then,\npending TC problems become implicit parameters for the simp theorem.\n"},"Lean.Elab.Term.synthesizeInstMVarCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L715-L759","name":"Lean.Elab.Term.synthesizeInstMVarCore","line":715,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.synthesizeInstMVarCore","doc":"Try to synthesize metavariable using type class resolution.\nThis method assumes the local context and local instances of `instMVar` coincide\nwith the current local context and local instances.\nReturn `true` if the instance was synthesized successfully, and `false` if\nthe instance contains unassigned metavariables that are blocking the type class\nresolution procedure. Throw an exception if resolution or assignment irrevocably fails.\n"},"Lean.Elab.Term.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L58-L62","name":"Lean.Elab.Term.synthesizeAppInstMVars","line":58,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.synthesizeAppInstMVars","doc":""},"Lean.Elab.Term.shouldExpandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L42-L44","name":"Lean.Elab.Term.shouldExpandMatchAlt","line":42,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.shouldExpandMatchAlt","doc":""},"Lean.Elab.Term.setLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L406-L407","name":"Lean.Elab.Term.setLevelNames","line":406,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.setLevelNames","doc":"Update the universe level parameter names. "},"Lean.Elab.Term.setElabConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Config.lean#L56-L57","name":"Lean.Elab.Term.setElabConfig","line":56,"kind":"def","docLink":"./Lean/Elab/Config.html#Lean.Elab.Term.setElabConfig","doc":"Set `isDefEq` configuration for the elaborator.\nNote that we enable all approximations but `quasiPatternApprox`\n\nIn Lean3 and Lean 4, we used to use the quasi-pattern approximation during elaboration.\nThe example:\n```\ndef ex : StateT δ (StateT σ Id) σ :=\nmonadLift (get : StateT σ Id σ)\n```\ndemonstrates why it produces counterintuitive behavior.\nWe have the `Monad-lift` application:\n```\n@monadLift ?m ?n ?c ?α (get : StateT σ id σ) : ?n ?α\n```\nIt produces the following unification problem when we process the expected type:\n```\n?n ?α =?= StateT δ (StateT σ id) σ\n==> (approximate using first-order unification)\n?n := StateT δ (StateT σ id)\n?α := σ\n```\nThen, we need to solve:\n```\n?m ?α =?= StateT σ id σ\n==> instantiate metavars\n?m σ =?= StateT σ id σ\n==> (approximate since it is a quasi-pattern unification constraint)\n?m := fun σ => StateT σ id σ\n```\nNote that the constraint is not a Milner pattern because σ is in\nthe local context of `?m`. We are ignoring the other possible solutions:\n```\n?m := fun σ' => StateT σ id σ\n?m := fun σ' => StateT σ' id σ\n?m := fun σ' => StateT σ id σ'\n```\n\nWe need the quasi-pattern approximation for elaborating recursor-like expressions (e.g., dependent `match with` expressions).\n\nIf we had use first-order unification, then we would have produced\nthe right answer: `?m := StateT σ id`\n\nHaskell would work on this example since it always uses\nfirst-order unification.\n"},"Lean.Elab.Term.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L246-L247","name":"Lean.Elab.Term.saveState","line":246,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveState","doc":""},"Lean.Elab.Term.saveContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L853-L861","name":"Lean.Elab.Term.saveContext","line":853,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveContext","doc":"Save relevant context for term elaboration postponement.\n"},"Lean.Elab.Term.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L295-L329","name":"Lean.Elab.Term.runTactic","line":295,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runTactic","doc":"Try to synthesize a term `val` using the tactic code `tacticCode`, and then assign `mvarId := val`.\n"},"Lean.Elab.Term.runPendingTacticsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L480-L486","name":"Lean.Elab.Term.runPendingTacticsAt","line":480,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runPendingTacticsAt","doc":"Collect unassigned metavariables at `e` that have associated tactic blocks, and then execute them using `runTactic`.\nWe use this method at the `match .. with` elaborator when it cannot be postponed anymore, but it is still waiting\nthe result of a tactic block.\n"},"Lean.Elab.Term.resolveName.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1622-L1630","name":"Lean.Elab.Term.resolveName.process","line":1622,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName.process","doc":""},"Lean.Elab.Term.resolveName'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1636-L1643","name":"Lean.Elab.Term.resolveName'","line":1636,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName'","doc":"Similar to `resolveName`, but creates identifiers for the main part and each projection with position information derived from `ident`.\nExample: Assume resolveName `v.head.bla.boo` produces `(v.head, [\"bla\", \"boo\"])`, then this method produces\n`(v.head, id, [f₁, f₂])` where `id` is an identifier for `v.head`, and `f₁` and `f₂` are identifiers for fields `\"bla\"` and `\"boo\"`. "},"Lean.Elab.Term.resolveName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1604-L1630","name":"Lean.Elab.Term.resolveName","line":1604,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName","doc":""},"Lean.Elab.Term.resolveLocalName.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1237-L1249","name":"Lean.Elab.Term.resolveLocalName.loop","line":1237,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.loop","doc":""},"Lean.Elab.Term.resolveLocalName.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1186-L1191","name":"Lean.Elab.Term.resolveLocalName.go","line":1186,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.go","doc":""},"Lean.Elab.Term.resolveLocalName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1102-L1250","name":"Lean.Elab.Term.resolveLocalName","line":1102,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName","doc":""},"Lean.Elab.Term.resolveId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1645-L1657","name":"Lean.Elab.Term.resolveId?","line":1645,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveId?","doc":""},"Lean.Elab.Term.reportUnsolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L20-L22","name":"Lean.Elab.Term.reportUnsolvedGoals","line":20,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Term.reportUnsolvedGoals","doc":""},"Lean.Elab.Term.reportStuckSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L209-L223","name":"Lean.Elab.Term.reportStuckSyntheticMVar","line":209,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.reportStuckSyntheticMVar","doc":"We use this method to report typeclass (and coercion) resolution problems that are \"stuck\".\nThat is, there is nothing else to do, and we don't have enough information to synthesize them using TC resolution.\n"},"Lean.Elab.Term.reportMatcherResultErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L989-L999","name":"Lean.Elab.Term.reportMatcherResultErrors","line":989,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.reportMatcherResultErrors","doc":""},"Lean.Elab.Term.removeSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L911-L914","name":"Lean.Elab.Term.removeSaveInfoAnnotation","line":911,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.removeSaveInfoAnnotation","doc":""},"Lean.Elab.Term.registerSyntheticMVarWithCurrRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L474-L475","name":"Lean.Elab.Term.registerSyntheticMVarWithCurrRef","line":474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVarWithCurrRef","doc":""},"Lean.Elab.Term.registerSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L471-L472","name":"Lean.Elab.Term.registerSyntheticMVar","line":471,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVar","doc":"Add the given metavariable to the list of pending synthetic metavariables.\nThe method `synthesizeSyntheticMVars` is used to process the metavariables on this list. "},"Lean.Elab.Term.registerMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L477-L478","name":"Lean.Elab.Term.registerMVarErrorInfo","line":477,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorInfo","doc":""},"Lean.Elab.Term.registerMVarErrorImplicitArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L483-L484","name":"Lean.Elab.Term.registerMVarErrorImplicitArgInfo","line":483,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorImplicitArgInfo","doc":""},"Lean.Elab.Term.registerMVarErrorHoleInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L480-L481","name":"Lean.Elab.Term.registerMVarErrorHoleInfo","line":480,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorHoleInfo","doc":""},"Lean.Elab.Term.registerMVarErrorCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L486-L487","name":"Lean.Elab.Term.registerMVarErrorCustomInfo","line":486,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorCustomInfo","doc":""},"Lean.Elab.Term.registerCustomErrorIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L492-L495","name":"Lean.Elab.Term.registerCustomErrorIfMVar","line":492,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerCustomErrorIfMVar","doc":""},"Lean.Elab.Term.quoteAutoTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L71-L86","name":"Lean.Elab.Term.quoteAutoTactic","line":71,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.quoteAutoTactic","doc":""},"Lean.Elab.Term.processDefDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L41-L59","name":"Lean.Elab.Term.processDefDeriving","line":41,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.Term.processDefDeriving","doc":""},"Lean.Elab.Term.precheckMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L160-L168","name":"Lean.Elab.Term.precheckMatch","line":160,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.precheckMatch","doc":""},"Lean.Elab.Term.precheckFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L607-L616","name":"Lean.Elab.Term.precheckFun","line":607,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckFun","doc":""},"Lean.Elab.Term.precheckArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L272-L276","name":"Lean.Elab.Term.precheckArrow","line":272,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckArrow","doc":""},"Lean.Elab.Term.ppGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L442-L443","name":"Lean.Elab.Term.ppGoal","line":442,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ppGoal","doc":""},"Lean.Elab.Term.postponeElabTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L976-L978","name":"Lean.Elab.Term.postponeElabTerm","line":976,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.postponeElabTerm","doc":"Postpone the elaboration of `stx`, return a metavariable that acts as a placeholder, and\nensures the info tree is updated and a hole id is introduced.\nWhen `stx` is elaborated, new info nodes are created and attached to the new hole id in the info tree.\n"},"Lean.Elab.Term.observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L271-L286","name":"Lean.Elab.Term.observing","line":271,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.observing","doc":"Execute `x`, save resulting expression and new state.\nWe remove any `Info` created by `x`.\nThe info nodes are committed when we execute `applyResult`.\nWe use `observing` to implement overloaded notation and decls.\nWe want to save `Info` nodes for the chosen alternative.\n"},"Lean.Elab.Term.mkTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L641-L645","name":"Lean.Elab.Term.mkTypeMismatchError","line":641,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTypeMismatchError","doc":""},"Lean.Elab.Term.mkTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L930-L935","name":"Lean.Elab.Term.mkTermInfo","line":930,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermInfo","doc":""},"Lean.Elab.Term.mkTermElabAttributeUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L361-L362","name":"Lean.Elab.Term.mkTermElabAttributeUnsafe","line":361,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttributeUnsafe","doc":""},"Lean.Elab.Term.mkTermElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L365-L365","name":"Lean.Elab.Term.mkTermElabAttribute","line":365,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttribute","doc":""},"Lean.Elab.Term.mkSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L902-L906","name":"Lean.Elab.Term.mkSaveInfoAnnotation","line":902,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkSaveInfoAnnotation","doc":"Create an auxiliary annotation to make sure we create an `Info` even if `e` is a metavariable.\nSee `mkTermInfo`.\n\nWe use this function because some elaboration functions elaborate subterms that may not be immediately\npart of the resulting term. Example:\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nIf the type of `b` is not known, then `wait_if_type_mvar% ?m; body` is postponed and just returns a fresh\nmetavariable `?n`. The elaborator for\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nreturns `mkSaveInfoAnnotation ?n` to make sure the info nodes created when elaborating `b` are \"saved\".\nThis is a bit hackish, but elaborators like `let_mvar%` are rare.\n"},"Lean.Elab.Term.mkPairs.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L194-L201","name":"Lean.Elab.Term.mkPairs.loop","line":194,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs.loop","doc":""},"Lean.Elab.Term.mkPairs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L193-L202","name":"Lean.Elab.Term.mkPairs","line":193,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs","doc":"Return syntax `Prod.mk elems[0] (Prod.mk elems[1] ... (Prod.mk elems[elems.size - 2] elems[elems.size - 1])))` "},"Lean.Elab.Term.mkNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1089-L1093","name":"Lean.Elab.Term.mkNoImplicitLambdaAnnotation","line":1089,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L981-L982","name":"Lean.Elab.Term.mkMatcher","line":981,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.mkMatcher","doc":""},"Lean.Elab.Term.mkLetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L694-L701","name":"Lean.Elab.Term.mkLetIdDeclView","line":694,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.mkLetIdDeclView","doc":""},"Lean.Elab.Term.mkInstMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1440-L1445","name":"Lean.Elab.Term.mkInstMVar","line":1440,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkInstMVar","doc":"Create a new metavariable with the given type, and try to synthesize it.\nIf type class resolution cannot be executed (e.g., it is stuck because of metavariables in `type`),\nregister metavariable as a pending one.\n"},"Lean.Elab.Term.mkFreshIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L603-L604","name":"Lean.Elab.Term.mkFreshIdent","line":603,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshIdent","doc":"Auxiliary method for creating a `Syntax.ident` containing\na fresh name. This method is intended for creating fresh binder names.\nIt is just a thin layer on top of `mkFreshUserName`. "},"Lean.Elab.Term.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L596-L597","name":"Lean.Elab.Term.mkFreshBinderName","line":596,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshBinderName","doc":"Auxiliary method for creating fresh binder names.\nDo not confuse with the method for creating fresh free/meta variable ids. "},"Lean.Elab.Term.mkExplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L580-L581","name":"Lean.Elab.Term.mkExplicitBinder","line":580,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkExplicitBinder","doc":"Creates syntax for `(` `:` `)` "},"Lean.Elab.Term.mkConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1588-L1595","name":"Lean.Elab.Term.mkConst","line":1588,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkConst","doc":"Create an `Expr.const` using the given name and explicit levels.\nRemark: fresh universe metavariables are created if the constant has more universe\nparameters than `explicitLevels`. "},"Lean.Elab.Term.mkCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L761-L774","name":"Lean.Elab.Term.mkCoe","line":761,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkCoe","doc":""},"Lean.Elab.Term.mkCalcTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L27-L44","name":"Lean.Elab.Term.mkCalcTrans","line":27,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.mkCalcTrans","doc":""},"Lean.Elab.Term.mkAuxName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1569-L1572","name":"Lean.Elab.Term.mkAuxName","line":1569,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkAuxName","doc":""},"Lean.Elab.Term.match.ignoreUnusedAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L984-L987","name":"Lean.Elab.Term.match.ignoreUnusedAlts","line":984,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.match.ignoreUnusedAlts","doc":""},"Lean.Elab.Term.logUnassignedUsingErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L541-L565","name":"Lean.Elab.Term.logUnassignedUsingErrorInfos","line":541,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.logUnassignedUsingErrorInfos","doc":"Try to log errors for the unassigned metavariables `pendingMVarIds`.\n\nReturn `true` if there were \"unfilled holes\", and we should \"abort\" declaration.\nTODO: try to fill \"all\" holes using synthetic \"sorry's\"\n\nRemark: We only log the \"unfilled holes\" as new errors if no error has been logged so far. "},"Lean.Elab.Term.liftLevelM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L447-L454","name":"Lean.Elab.Term.liftLevelM","line":447,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.liftLevelM","doc":""},"Lean.Elab.Term.levelMVarToParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L586-L591","name":"Lean.Elab.Term.levelMVarToParam","line":586,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.levelMVarToParam","doc":"Convert unassigned universe level metavariables into parameters.\nThe new parameter names are fresh names of the form `u_i` with regard to `ctx.levelNames`, which is updated with the new names. "},"Lean.Elab.Term.kindOfBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L65-L69","name":"Lean.Elab.Term.kindOfBinderName","line":65,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.kindOfBinderName","doc":"Determines the local declaration kind depending on the variable name.\n\nThe `__x` in `let __x := 42; body` gets kind `.implDetail`.\n"},"Lean.Elab.Term.isTacticOrPostponedHole?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L921-L928","name":"Lean.Elab.Term.isTacticOrPostponedHole?","line":921,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isTacticOrPostponedHole?","doc":"Return `some mvarId` if `e` corresponds to a hole that is going to be filled \"later\" by executing a tactic or resuming elaboration.\n\nWe do not save `ofTermInfo` for this kind of node in the `InfoTree`.\n"},"Lean.Elab.Term.isSaveInfoAnnotation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L908-L909","name":"Lean.Elab.Term.isSaveInfoAnnotation?","line":908,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isSaveInfoAnnotation?","doc":""},"Lean.Elab.Term.isMVarApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L814-L815","name":"Lean.Elab.Term.isMVarApp","line":814,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isMVarApp","doc":"Return `true` if `e` reduces (by unfolding only `[reducible]` declarations) to `?m ...` "},"Lean.Elab.Term.isLocalIdent?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1253-L1260","name":"Lean.Elab.Term.isLocalIdent?","line":1253,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLocalIdent?","doc":"Return true iff `stx` is a `Syntax.ident`, and it is a local variable. "},"Lean.Elab.Term.isLetRecAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1578-L1582","name":"Lean.Elab.Term.isLetRecAuxMVar","line":1578,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLetRecAuxMVar","doc":"Return true if mvarId is an auxiliary metavariable created for compiling `let rec` or it\nis delayed assigned to one. "},"Lean.Elab.Term.isAtomicDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L45-L50","name":"Lean.Elab.Term.isAtomicDiscr","line":45,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.isAtomicDiscr","doc":"Remark: if the discriminat is `Systax.missing`, we abort the elaboration of the `match`-expression.\nThis can happen due to error recovery. Example\n```\nexample : (p ∨ p) → p := fun h => match\n```\nIf we don't abort, the elaborator loops because we will keep trying to expand\n```\nmatch\n```\ninto\n```\nlet d := ; match\n```\nRecall that `Syntax.setArg stx i arg` is a no-op when `i` is out-of-bounds. "},"Lean.Elab.Term.instToStringSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L42-L47","name":"Lean.Elab.Term.instToStringSyntheticMVarKind","line":42,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringSyntheticMVarKind","doc":""},"Lean.Elab.Term.instToStringNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L30-L31","name":"Lean.Elab.Term.instToStringNamedArg","line":30,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringNamedArg","doc":""},"Lean.Elab.Term.instToStringMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L67-L71","name":"Lean.Elab.Term.instToStringMVarErrorKind","line":67,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringMVarErrorKind","doc":""},"Lean.Elab.Term.instToStringLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L389-L392","name":"Lean.Elab.Term.instToStringLVal","line":389,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringLVal","doc":""},"Lean.Elab.Term.instToStringArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L25-L28","name":"Lean.Elab.Term.instToStringArg","line":25,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringArg","doc":""},"Lean.Elab.Term.instNonemptySavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L244-L244","name":"Lean.Elab.Term.instNonemptySavedState","line":244,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instNonemptySavedState","doc":""},"Lean.Elab.Term.instMonadTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L229-L231","name":"Lean.Elab.Term.instMonadTermElabM","line":229,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadTermElabM","doc":""},"Lean.Elab.Term.instMonadMacroAdapterTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1038-L1041","name":"Lean.Elab.Term.instMonadMacroAdapterTermElabM","line":1038,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadMacroAdapterTermElabM","doc":""},"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L258-L260","name":"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","line":258,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","doc":""},"Lean.Elab.Term.instMetaEvalTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1673-L1678","name":"Lean.Elab.Term.instMetaEvalTermElabM","line":1673,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMetaEvalTermElabM","doc":""},"Lean.Elab.Term.instInhabitedTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L235-L236","name":"Lean.Elab.Term.instInhabitedTermElabM","line":235,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedTermElabM","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L40-L40","name":"Lean.Elab.Term.instInhabitedSyntheticMVarKind","line":40,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarKind","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L52-L52","name":"Lean.Elab.Term.instInhabitedSyntheticMVarDecl","line":52,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarDecl","doc":""},"Lean.Elab.Term.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L109-L109","name":"Lean.Elab.Term.instInhabitedState","line":109,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedState","doc":""},"Lean.Elab.Term.instInhabitedNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedNamedArg","line":23,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedNamedArg","doc":""},"Lean.Elab.Term.instInhabitedMatchAltView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MatchAltView.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedMatchAltView","line":23,"kind":"instance","docLink":"./Lean/Elab/MatchAltView.html#Lean.Elab.Term.instInhabitedMatchAltView","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L65-L65","name":"Lean.Elab.Term.instInhabitedMVarErrorKind","line":65,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorKind","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L81-L81","name":"Lean.Elab.Term.instInhabitedMVarErrorInfo","line":81,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorInfo","doc":""},"Lean.Elab.Term.instInhabitedLetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L98-L98","name":"Lean.Elab.Term.instInhabitedLetRecToLift","line":98,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedLetRecToLift","doc":""},"Lean.Elab.Term.instInhabitedDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L61-L61","name":"Lean.Elab.Term.instInhabitedDiscr","line":61,"kind":"instance","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.instInhabitedDiscr","doc":""},"Lean.Elab.Term.instInhabitedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L16-L16","name":"Lean.Elab.Term.instInhabitedArg","line":16,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedArg","doc":""},"Lean.Elab.Term.instAddErrorMessageContextTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L320-L326","name":"Lean.Elab.Term.instAddErrorMessageContextTermElabM","line":320,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instAddErrorMessageContextTermElabM","doc":""},"Lean.Elab.Term.hasNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1086-L1087","name":"Lean.Elab.Term.hasNoImplicitLambdaAnnotation","line":1086,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.hasNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.hasElabWithoutExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L22-L23","name":"Lean.Elab.Term.hasElabWithoutExpectedType","line":22,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.hasElabWithoutExpectedType","doc":""},"Lean.Elab.Term.hasCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L205-L210","name":"Lean.Elab.Term.hasCDot","line":205,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.hasCDot","doc":""},"Lean.Elab.Term.getSyntheticMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L882-L883","name":"Lean.Elab.Term.getSyntheticMVarDecl?","line":882,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getSyntheticMVarDecl?","doc":""},"Lean.Elab.Term.getPatternsVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L342-L347","name":"Lean.Elab.Term.getPatternsVars","line":342,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternsVars","doc":"Return the pattern variables occurring in the given patterns.\nThis method is used in the `match` and `do` notation elaborators\n"},"Lean.Elab.Term.getPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L333-L336","name":"Lean.Elab.Term.getPatternVars","line":333,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVars","doc":"Return the pattern variables in the given pattern.\nRemark: this method is not used by the main `match` elaborator, but in the precheck hook and other macros (e.g., at `Do.lean`).\n"},"Lean.Elab.Term.getPatternVarNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L349-L350","name":"Lean.Elab.Term.getPatternVarNames","line":349,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVarNames","doc":""},"Lean.Elab.Term.getMatchAltsNumPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L25-L28","name":"Lean.Elab.Term.getMatchAltsNumPatterns","line":25,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.getMatchAltsNumPatterns","doc":"Helper function for `expandEqnsIntoMatch` "},"Lean.Elab.Term.getMVarErrorInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L489-L490","name":"Lean.Elab.Term.getMVarErrorInfo?","line":489,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarErrorInfo?","doc":""},"Lean.Elab.Term.getMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L399-L399","name":"Lean.Elab.Term.getMVarDecl","line":399,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarDecl","doc":"Return the declaration of the given metavariable "},"Lean.Elab.Term.getLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L308-L309","name":"Lean.Elab.Term.getLevelNames","line":308,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLevelNames","doc":"Return the universe level names explicitly provided by the user.\n"},"Lean.Elab.Term.getLetRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L397-L397","name":"Lean.Elab.Term.getLetRecsToLift","line":397,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLetRecsToLift","doc":"Return the list of nested `let rec` declarations that need to be lifted. "},"Lean.Elab.Term.getFVarLocalDecl!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L315-L318","name":"Lean.Elab.Term.getFVarLocalDecl!","line":315,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getFVarLocalDecl!","doc":"Given a free variable `fvar`, return its declaration.\nThis function panics if `fvar` is not a free variable.\n"},"Lean.Elab.Term.getDeclName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L395-L395","name":"Lean.Elab.Term.getDeclName?","line":395,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getDeclName?","doc":"Return the name of the declaration being elaborated if available. "},"Lean.Elab.Term.getCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L78-L83","name":"Lean.Elab.Term.getCalcSteps","line":78,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcSteps","doc":""},"Lean.Elab.Term.getCalcRelation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L15-L19","name":"Lean.Elab.Term.getCalcRelation?","line":15,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcRelation?","doc":"Decompose `e` into `(r, a, b)`.\n\nRemark: it assumes the last two arguments are explicit. "},"Lean.Elab.Term.getCalcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L70-L76","name":"Lean.Elab.Term.getCalcFirstStep","line":70,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcFirstStep","doc":""},"Lean.Elab.Term.exprToSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1704-L1709","name":"Lean.Elab.Term.exprToSyntax","line":1704,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exprToSyntax","doc":"Helper function for \"embedding\" an `Expr` in `Syntax`.\nIt creates a named hole `?m` and immediately assigns `e` to it.\nExamples:\n```lean\nlet e := mkConst ``Nat.zero\n`(Nat.succ $(← exprToSyntax e))\n```\n"},"Lean.Elab.Term.expandWhereDeclsOpt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L458-L462","name":"Lean.Elab.Term.expandWhereDeclsOpt","line":458,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDeclsOpt","doc":""},"Lean.Elab.Term.expandWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L453-L456","name":"Lean.Elab.Term.expandWhereDecls","line":453,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDecls","doc":""},"Lean.Elab.Term.expandUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L172-L173","name":"Lean.Elab.Term.expandUnreachable","line":172,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandUnreachable","doc":""},"Lean.Elab.Term.expandTypeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L278-L283","name":"Lean.Elab.Term.expandTypeAscription","line":278,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTypeAscription","doc":""},"Lean.Elab.Term.expandTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L271-L276","name":"Lean.Elab.Term.expandTuple","line":271,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTuple","doc":""},"Lean.Elab.Term.expandTermUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1701-L1701","name":"Lean.Elab.Term.expandTermUnless","line":1701,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermUnless","doc":""},"Lean.Elab.Term.expandTermTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1698-L1698","name":"Lean.Elab.Term.expandTermTry","line":1698,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermTry","doc":""},"Lean.Elab.Term.expandTermReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1704-L1704","name":"Lean.Elab.Term.expandTermReturn","line":1704,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermReturn","doc":""},"Lean.Elab.Term.expandTermFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1695-L1695","name":"Lean.Elab.Term.expandTermFor","line":1695,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermFor","doc":""},"Lean.Elab.Term.expandSuffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L118-L125","name":"Lean.Elab.Term.expandSuffices","line":118,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandSuffices","doc":""},"Lean.Elab.Term.expandSimpleBinderWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L251-L255","name":"Lean.Elab.Term.expandSimpleBinderWithType","line":251,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandSimpleBinderWithType","doc":"If `binder` is a `_` or an identifier, return a `bracketedBinder` using `type` otherwise throw an exception. "},"Lean.Elab.Term.expandShow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L65-L68","name":"Lean.Elab.Term.expandShow","line":65,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandShow","doc":""},"Lean.Elab.Term.expandParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L267-L269","name":"Lean.Elab.Term.expandParen","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandParen","doc":""},"Lean.Elab.Term.expandOptType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L16-L20","name":"Lean.Elab.Term.expandOptType","line":16,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandOptType","doc":"Recall that\n```\ndef typeSpec := leading_parser \" : \" >> termParser\ndef optType : Parser := optional typeSpec\n```\n"},"Lean.Elab.Term.expandOptPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L14-L18","name":"Lean.Elab.Term.expandOptPrecedence","line":14,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.expandOptPrecedence","doc":"Expand `optional «precedence»` where\n«precedence» := leading_parser \" : \" >> precedenceParser "},"Lean.Elab.Term.expandMatchAltsWhereDecls.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L574-L585","name":"Lean.Elab.Term.expandMatchAltsWhereDecls.loop","line":574,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls.loop","doc":""},"Lean.Elab.Term.expandMatchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L571-L586","name":"Lean.Elab.Term.expandMatchAltsWhereDecls","line":571,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls","doc":"Similar to `expandMatchAltsIntoMatch`, but supports an optional `where` clause.\n\nExpand `matchAltsWhereDecls` into `let rec` + `match`-expression.\nExample\n```\n| 0, true => ... f 0 ...\n| i, _ => ... f i + g i ...\nwhere\n f x := g x + 1\n\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n```\nexpands into\n```\nfux x_1 x_2 =>\n let rec\n f x := g x + 1,\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n match x_1, x_2 with\n | 0, true => ... f 0 ...\n | i, _ => ... f i + g i ...\n```\n"},"Lean.Elab.Term.expandMatchAltsIntoMatchTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L540-L541","name":"Lean.Elab.Term.expandMatchAltsIntoMatchTactic","line":540,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatchTactic","doc":""},"Lean.Elab.Term.expandMatchAltsIntoMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L537-L538","name":"Lean.Elab.Term.expandMatchAltsIntoMatch","line":537,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatch","doc":"Expand `matchAlts` syntax into a full `match`-expression.\nExample:\n```\n| 0, true => alt_1\n| i, _ => alt_2\n```\nexpands into (for tactic == false)\n```\nfun x_1 x_2 =>\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\nand (for tactic == true)\n```\nintro x_1; intro x_2;\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\n\nIf `useExplicit = true`, we add a `@` before `fun` to disable implicit lambdas. We disable them when processing `let` and `let rec` declarations\nto make sure the behavior is consistent with top-level declarations where we can write\n```\ndef f : {α : Type} → α → α\n | _, a => a\n```\nWe use `useExplicit = false` when we are elaborating the `fun | ... => ... | ...` notation. See issue #1132.\nIf `@fun` is used with this notation, the we set `useExplicit = true`.\nWe also use `useExplicit = false` when processing `instance ... where` notation declarations. The motivation is to have compact declarations such as\n```\ninstance [Alternative m] : MonadLiftT Option m where\nmonadLift -- We don't want to provide the implicit arguments of `monadLift` here. One should use `monadLift := @fun ...` if they want to provide them.\n | some a => pure a\n | none => failure\n```\n\nRemark: we add `@` at discriminants to make sure we don't consume implicit arguments, and to make the behavior consistent with `fun`.\nExample:\n```\ninductive T : Type 1 :=\n| mkT : (forall {a : Type}, a -> a) -> T\n\ndef makeT (f : forall {a : Type}, a -> a) : T :=\n mkT f\n\ndef makeT' : (forall {a : Type}, a -> a) -> T\n| f => mkT f\n```\nThe two definitions should be elaborated without errors and be equivalent.\n"},"Lean.Elab.Term.expandMatchAlts?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L46-L54","name":"Lean.Elab.Term.expandMatchAlts?","line":46,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlts?","doc":""},"Lean.Elab.Term.expandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L33-L40","name":"Lean.Elab.Term.expandMatchAlt","line":33,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlt","doc":"Expand a match alternative such as `| 0 | 1 => rhs` to an array containing `| 0 => rhs` and `| 1 => rhs`.\n"},"Lean.Elab.Term.expandMacrosInPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L133-L136","name":"Lean.Elab.Term.expandMacrosInPatterns","line":133,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.expandMacrosInPatterns","doc":""},"Lean.Elab.Term.expandLetEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L703-L707","name":"Lean.Elab.Term.expandLetEqnsDecl","line":703,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandLetEqnsDecl","doc":""},"Lean.Elab.Term.expandHave":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L105-L116","name":"Lean.Elab.Term.expandHave","line":105,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandHave","doc":""},"Lean.Elab.Term.expandFunBinders.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L342-L380","name":"Lean.Elab.Term.expandFunBinders.loop","line":342,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders.loop","doc":""},"Lean.Elab.Term.expandFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L341-L381","name":"Lean.Elab.Term.expandFunBinders","line":341,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders","doc":"Auxiliary function for expanding `fun` notation binders. Recall that `fun` parser is defined as\n```\ndef funBinder : Parser := implicitBinder <|> instBinder <|> termParser maxPrec\nleading_parser unicodeSymbol \"λ\" \"fun\" >> many1 funBinder >> \"=>\" >> termParser\n```\nto allow notation such as `fun (a, b) => a + b`, where `(a, b)` should be treated as a pattern.\nThe result is a pair `(explicitBinders, newBody)`, where `explicitBinders` is syntax of the form\n```\n`(` ident `:` term `)`\n```\nwhich can be elaborated using `elabBinders`, and `newBody` is the updated `body` syntax.\nWe update the `body` syntax when expanding the pattern notation.\nExample: `fun (a, b) => a + b` expands into `fun _a_1 => match _a_1 with | (a, b) => a + b`.\nSee local function `processAsPattern` at `expandFunBindersAux`.\n\nThe resulting `Bool` is true if a pattern was found. We use it \"mark\" a macro expansion. "},"Lean.Elab.Term.expandFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L588-L599","name":"Lean.Elab.Term.expandFun","line":588,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFun","doc":""},"Lean.Elab.Term.expandForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L257-L261","name":"Lean.Elab.Term.expandForall","line":257,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandForall","doc":""},"Lean.Elab.Term.expandExplicitFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L601-L604","name":"Lean.Elab.Term.expandExplicitFun","line":601,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandExplicitFun","doc":""},"Lean.Elab.Term.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1689-L1693","name":"Lean.Elab.Term.expandDeclId","line":1689,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.expandDeclId","doc":""},"Lean.Elab.Term.expandDbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L183-L186","name":"Lean.Elab.Term.expandDbgTrace","line":183,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandDbgTrace","doc":""},"Lean.Elab.Term.expandCDot?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L230-L240","name":"Lean.Elab.Term.expandCDot?.go","line":230,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?.go","doc":"Auxiliary function for expanding the `·` notation.\nThe extra state `Array Syntax` contains the new binder names.\nIf `stx` is a `·`, we create a fresh identifier, store in the\nextra state, and return it. Otherwise, we just return `stx`. "},"Lean.Elab.Term.expandCDot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L218-L240","name":"Lean.Elab.Term.expandCDot?","line":218,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?","doc":"Return `some` if succeeded expanding `·` notation occurring in\nthe given syntax. Otherwise, return `none`.\nExamples:\n- `· + 1` => `fun _a_1 => _a_1 + 1`\n- `f · · b` => `fun _a_1 _a_2 => f _a_1 _a_2 b` "},"Lean.Elab.Term.expandAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L175-L181","name":"Lean.Elab.Term.expandAssert","line":175,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandAssert","doc":""},"Lean.Elab.Term.expandArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L33-L52","name":"Lean.Elab.Term.expandArgs","line":33,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandArgs","doc":""},"Lean.Elab.Term.expandApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L54-L56","name":"Lean.Elab.Term.expandApp","line":54,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandApp","doc":""},"Lean.Elab.Term.exceptionToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L803-L806","name":"Lean.Elab.Term.exceptionToSorry","line":803,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exceptionToSorry","doc":"Log the given exception, and create a synthetic sorry for representing the failed\nelaboration step with exception `ex`.\n"},"Lean.Elab.Term.evalTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Eval.lean#L12-L17","name":"Lean.Elab.Term.evalTerm","line":12,"kind":"def","docLink":"./Lean/Elab/Eval.html#Lean.Elab.Term.evalTerm","doc":""},"Lean.Elab.Term.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L69-L70","name":"Lean.Elab.Term.eraseNamedArg","line":69,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.eraseNamedArg","doc":"Erase entry for `binderName` from `namedArgs`. "},"Lean.Elab.Term.ensureUnaryOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L46-L51","name":"Lean.Elab.Term.ensureUnaryOutput","line":46,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ensureUnaryOutput","doc":""},"Lean.Elab.Term.ensureType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1450-L1463","name":"Lean.Elab.Term.ensureType","line":1450,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureType","doc":"Make sure `e` is a type by inferring its type and making sure it is an `Expr.sort`\nor is unifiable with `Expr.sort`, or can be coerced into one. "},"Lean.Elab.Term.ensureNoUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L568-L571","name":"Lean.Elab.Term.ensureNoUnassignedMVars","line":568,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureNoUnassignedMVars","doc":"Ensure metavariables registered using `registerMVarErrorInfos` (and used in the given declaration) have been assigned. "},"Lean.Elab.Term.ensureHasType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L781-L787","name":"Lean.Elab.Term.ensureHasType","line":781,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureHasType","doc":"If `expectedType?` is `some t`, then ensure `t` and `eType` are definitionally equal.\nIf they are not, then try coercions.\n\nArgument `f?` is used only for generating error messages. 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`useLetExpr` is true, then a kernel let-expression `let x : type := val; body` is created.\nOtherwise, we create a term of the form `(fun (x : type) => body) val`\n\nThe default elaboration order is `binders`, `typeStx`, `valStx`, and `body`.\nIf `elabBodyFirst == true`, then we use the order `binders`, `typeStx`, `body`, and `valStx`. "},"Lean.Elab.Term.elabLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L744-L745","name":"Lean.Elab.Term.elabLetDecl","line":744,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabLetDecl","doc":""},"Lean.Elab.Term.elabLeadingParserMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L143-L147","name":"Lean.Elab.Term.elabLeadingParserMacro","line":143,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabLeadingParserMacro","doc":""},"Lean.Elab.Term.elabIncludeStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L319-L328","name":"Lean.Elab.Term.elabIncludeStr","line":319,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabIncludeStr","doc":""},"Lean.Elab.Term.elabInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L155-L157","name":"Lean.Elab.Term.elabInaccessible","line":155,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.elabInaccessible","doc":""},"Lean.Elab.Term.elabIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1473-L1473","name":"Lean.Elab.Term.elabIdent","line":1473,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabIdent","doc":""},"Lean.Elab.Term.elabHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L57-L61","name":"Lean.Elab.Term.elabHole","line":57,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabHole","doc":""},"Lean.Elab.Term.elabFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L443-L451","name":"Lean.Elab.Term.elabFunBinders","line":443,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFunBinders","doc":""},"Lean.Elab.Term.elabFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L618-L631","name":"Lean.Elab.Term.elabFun","line":618,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFun","doc":""},"Lean.Elab.Term.elabForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L263-L269","name":"Lean.Elab.Term.elabForall","line":263,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabForall","doc":""},"Lean.Elab.Term.elabForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L51-L77","name":"Lean.Elab.Term.elabForIn'","line":51,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn'","doc":""},"Lean.Elab.Term.elabForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L25-L49","name":"Lean.Elab.Term.elabForIn","line":25,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn","doc":""},"Lean.Elab.Term.elabExplicitUnivs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1253-L1254","name":"Lean.Elab.Term.elabExplicitUnivs","line":1253,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUnivs","doc":""},"Lean.Elab.Term.elabExplicitUniv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1476-L1476","name":"Lean.Elab.Term.elabExplicitUniv","line":1476,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUniv","doc":""},"Lean.Elab.Term.elabExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1484-L1490","name":"Lean.Elab.Term.elabExplicit","line":1484,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicit","doc":""},"Lean.Elab.Term.elabEnsureTypeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L258-L265","name":"Lean.Elab.Term.elabEnsureTypeOf","line":258,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureTypeOf","doc":""},"Lean.Elab.Term.elabEnsureExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L267-L270","name":"Lean.Elab.Term.elabEnsureExpectedType","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureExpectedType","doc":""},"Lean.Elab.Term.elabDoubleQuotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c5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dependent arrow. `(x : α) → β` is equivalent to `∀ x : α, β`, but we usually\nreserve the latter for propositions. Also written as `Π x : α, β` (the \"Pi-type\")\nin the literature. "},"Lean.Elab.Term.elabDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L216-L219","name":"Lean.Elab.Term.elabDeclName","line":216,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabDeclName","doc":""},"Lean.Elab.Term.elabCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L40-L55","name":"Lean.Elab.Term.elabCompletion","line":40,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCompletion","doc":""},"Lean.Elab.Term.elabCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L14-L20","name":"Lean.Elab.Term.elabCoe","line":14,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCoe","doc":""},"Lean.Elab.Term.elabClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L272-L290","name":"Lean.Elab.Term.elabClear","line":272,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabClear","doc":""},"Lean.Elab.Term.elabChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1492-L1492","name":"Lean.Elab.Term.elabChoice","line":1492,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabChoice","doc":""},"Lean.Elab.Term.elabCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L203-L206","name":"Lean.Elab.Term.elabCharLit","line":203,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCharLit","doc":""},"Lean.Elab.Term.elabCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L85-L108","name":"Lean.Elab.Term.elabCalcSteps","line":85,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalcSteps","doc":""},"Lean.Elab.Term.elabCalc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L112-L117","name":"Lean.Elab.Term.elabCalc","line":112,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalc","doc":"Elaborator for the `calc` term mode variant. "},"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L262-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","line":262,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","doc":""},"Lean.Elab.Term.elabCDotFunctionAlias?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L246-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?","line":246,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?","doc":"Helper method for elaborating terms such as `(.+.)` where a constant name is expected.\nThis method is usually used to implement tactics that function names as arguments (e.g., `simp`).\n"},"Lean.Elab.Term.elabByTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L150-L155","name":"Lean.Elab.Term.elabByTactic","line":150,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabByTactic","doc":""},"Lean.Elab.Term.elabBorrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L60-L63","name":"Lean.Elab.Term.elabBorrowed","line":60,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabBorrowed","doc":""},"Lean.Elab.Term.elabBindersEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L227-L232","name":"Lean.Elab.Term.elabBindersEx","line":227,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBindersEx","doc":"Like `elabBinders`, but also pass syntax node per binder.\n`elabBinders(Ex)` automatically adds binder info nodes for the produced fvars, but storing the syntax nodes\nmight be necessary when later adding the same binders back to the local context so that info nodes can\nmanually be added for the new fvars; see `MutualDef` for an example. "},"Lean.Elab.Term.elabBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L243-L244","name":"Lean.Elab.Term.elabBinders","line":243,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinders","doc":"Elaborate the given binders (i.e., `Syntax` objects for `bracketedBinder`),\nupdate the local context, set of local instances, reset instance chache (if needed), and then\nexecute `k` with the updated context.\nThe local context will only be included inside `k`.\n\nFor example, suppose you have binders `[(a : α), (b : β a)]`, then the elaborator will\ncreate two new free variables `a` and `b`, push these to the context and pass to `k #[a,b]`.\n"},"Lean.Elab.Term.elabBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L247-L248","name":"Lean.Elab.Term.elabBinder","line":247,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinder","doc":"Same as `elabBinder` with a single binder."},"Lean.Elab.Term.elabBadCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L160-L161","name":"Lean.Elab.Term.elabBadCDot","line":160,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabBadCDot","doc":""},"Lean.Elab.Term.elabAsElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L682-L697","name":"Lean.Elab.Term.elabAsElim","line":682,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAsElim","doc":""},"Lean.Elab.Term.elabArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L278-L285","name":"Lean.Elab.Term.elabArrow","line":278,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabArrow","doc":""},"Lean.Elab.Term.elabAppArgs.isFirstOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L978-L980","name":"Lean.Elab.Term.elabAppArgs.isFirstOrder","line":978,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.isFirstOrder","doc":""},"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L959-L972","name":"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","line":959,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","doc":"Collect extra argument positions that must be elaborated eagerly when using `elab_as_elim`.\nThe idea is that the contribute to motive inference. See comment at `ElamElim.Context.extraArgsPos`.\n"},"Lean.Elab.Term.elabAppArgs.elabAsElim?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L939-L953","name":"Lean.Elab.Term.elabAppArgs.elabAsElim?","line":939,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.elabAsElim?","doc":"Return `some info` if we should elaborate as an eliminator. "},"Lean.Elab.Term.elabAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L907-L980","name":"Lean.Elab.Term.elabAppArgs","line":907,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs","doc":"Elaborate a `f`-application using `namedArgs` and `args` as the arguments.\n- `expectedType?` the expected type if available. It is used to propagate typing information only. This method does **not** ensure the result has this type.\n- `explicit = true` when notation `@` is used, and implicit arguments are assumed to be provided at `namedArgs` and `args`.\n- `ellipsis = true` when notation `..` is used. That is, we add `_` for missing arguments.\n- `resultIsOutParamSupport` is used to control whether special support is used when processing applications of functions that return\n output parameter of some local instance. Example:\n ```\n GetElem.getElem : {Cont : Type u_1} → {Idx : Type u_2} → {elem : Type u_3} → {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] → (xs : cont) → (i : idx) → dom xs i → elem\n ```\n The result type `elem` is the output parameter of the local instance `self`.\n When this parameter is set to `true`, we execute `synthesizeSyntheticMVarsUsingDefault`. For additional details, see comment at\n `ElabAppArgs.resultIsOutParam`.\n"},"Lean.Elab.Term.elabApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1465-L1468","name":"Lean.Elab.Term.elabApp","line":1465,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabApp","doc":""},"Lean.Elab.Term.elabAnonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L22-L58","name":"Lean.Elab.Term.elabAnonymousCtor","line":22,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabAnonymousCtor","doc":""},"Lean.Elab.Term.declareTacticSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L88-L100","name":"Lean.Elab.Term.declareTacticSyntax","line":88,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.declareTacticSyntax","doc":""},"Lean.Elab.Term.containsPendingMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L702-L705","name":"Lean.Elab.Term.containsPendingMVar","line":702,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.containsPendingMVar","doc":"Return `true` if `e` contains a pending metavariable. Remark: it also visits let-declarations. "},"Lean.Elab.Term.commitIfNoErrors?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1415-L1428","name":"Lean.Elab.Term.commitIfNoErrors?","line":1415,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfNoErrors?","doc":"Execute `x` and return `some` if no new errors were recorded or exceptions were thrown. Otherwise, return `none`. "},"Lean.Elab.Term.commitIfDidNotPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L300-L303","name":"Lean.Elab.Term.commitIfDidNotPostpone","line":300,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfDidNotPostpone","doc":"Execute `x`, but keep state modifications only if `x` did not postpone.\nThis method is useful to implement elaboration functions that cannot decide whether\nthey need to postpone or not without updating the state. "},"Lean.Elab.Term.collectUnassignedMVars.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1511-L1527","name":"Lean.Elab.Term.collectUnassignedMVars.go","line":1511,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars.go","doc":""},"Lean.Elab.Term.collectUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1503-L1527","name":"Lean.Elab.Term.collectUnassignedMVars","line":1503,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars","doc":"Collect unassigned metavariables in `type` that are not already in `init` and not satisfying `except`.\n"},"Lean.Elab.Term.collectPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L325-L327","name":"Lean.Elab.Term.collectPatternVars","line":325,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.collectPatternVars","doc":"Collect pattern variables occurring in the `match`-alternative object views.\nIt also returns the updated views.\n"},"Lean.Elab.Term.clearInMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L57-L62","name":"Lean.Elab.Term.clearInMatchAlt","line":57,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatchAlt","doc":""},"Lean.Elab.Term.clearInMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L64-L70","name":"Lean.Elab.Term.clearInMatch","line":64,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatch","doc":""},"Lean.Elab.Term.checkLeftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L68-L80","name":"Lean.Elab.Term.checkLeftRec","line":68,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.checkLeftRec","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L744-L753","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","line":744,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L754-L764","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visit","line":754,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visit","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L730-L767","name":"Lean.Elab.Term.checkForHiddenUnivLevels","line":730,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels","doc":""},"Lean.Elab.Term.checkBinderAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L177-L180","name":"Lean.Elab.Term.checkBinderAnnotations","line":177,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.checkBinderAnnotations","doc":""},"Lean.Elab.Term.blockImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1096-L1100","name":"Lean.Elab.Term.blockImplicitLambda","line":1096,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.blockImplicitLambda","doc":"Block usage of implicit lambdas if `stx` is `@f` or `@f arg1 ...` or `fun` with an implicit binder annotation. "},"Lean.Elab.Term.applyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L291-L294","name":"Lean.Elab.Term.applyResult","line":291,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyResult","doc":"Apply the result/exception and state captured with `observing`.\nWe use this method to implement overloaded notation and symbols. "},"Lean.Elab.Term.applyAttributesAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L635-L636","name":"Lean.Elab.Term.applyAttributesAt","line":635,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributesAt","doc":"Apply given attributes **at** a given application time "},"Lean.Elab.Term.applyAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L638-L639","name":"Lean.Elab.Term.applyAttributes","line":638,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributes","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L61-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType.go","line":61,"kind":"opaque","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType.go","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L57-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType","line":57,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType","doc":"Adds a type annotation to a hole that occurs immediately at the beginning of the term.\nThis is so that coercions can trigger when elaborating the term.\nSee https://github.com/leanprover/lean4/issues/2040 for futher rationale.\n\n- `_ < 3` is annotated\n- `(_) < 3` is not, because it occurs after an atom\n- in `_ < _` only the first one is annotated\n- `_ + 2 < 3` is annotated (not the best heuristic, ideally we'd like to annotate `_ + 2`)\n- `lt _ 3` is not, because it occurs after an identifier\n"},"Lean.Elab.Term.addTermInfo'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L961-L962","name":"Lean.Elab.Term.addTermInfo'","line":961,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo'","doc":""},"Lean.Elab.Term.addTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L952-L959","name":"Lean.Elab.Term.addTermInfo","line":952,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo","doc":"Pushes a new leaf node to the info tree associating the expression `e` to the syntax `stx`.\nAs a result, when the user hovers over `stx` they will see the type of `e`, and if `e`\nis a constant they will see the constant's doc string.\n\n* `expectedType?`: the expected type of `e` at the point of elaboration, if available\n* `lctx?`: the local context in which to interpret `e` (otherwise it will use `← getLCtx`)\n* `elaborator`: a declaration name used as an alternative target for go-to-definition\n* `isBinder`: if true, this will be treated as defining `e` (which should be a local constant)\n for the purpose of go-to-definition on local variables\n* `force`: In patterns, the effect of `addTermInfo` is usually suppressed and replaced\n by a `patternWithRef?` annotation which will be turned into a term info on the\n post-match-elaboration expression. This flag overrides that behavior and adds the term\n info immediately. (See https://github.com/leanprover/lean4/pull/1664.)\n"},"Lean.Elab.Term.addNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L28-L31","name":"Lean.Elab.Term.addNamedArg","line":28,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.addNamedArg","doc":"Add a new named argument to `namedArgs`, and throw an error if it already contains a named argument\nwith the same name. "},"Lean.Elab.Term.addLocalVarInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L169-L170","name":"Lean.Elab.Term.addLocalVarInfo","line":169,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.addLocalVarInfo","doc":""},"Lean.Elab.Term.addDotCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1387-L1388","name":"Lean.Elab.Term.addDotCompletionInfo","line":1387,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addDotCompletionInfo","doc":"Store in the `InfoTree` that `e` is a \"dot\"-completion target. "},"Lean.Elab.Term.addCategoryInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L57-L60","name":"Lean.Elab.Term.addCategoryInfo","line":57,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addCategoryInfo","doc":"(Try to) add a term info for the category `catName` at `ref`. "},"Lean.Elab.Term.addAutoBoundImplicits.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1542-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits.go","line":1542,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits.go","doc":""},"Lean.Elab.Term.addAutoBoundImplicits'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1562-L1567","name":"Lean.Elab.Term.addAutoBoundImplicits'","line":1562,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits'","doc":"Similar to `autoBoundImplicits`, but immediately if the resulting array of expressions contains metavariables,\nit immediately uses `mkForallFVars` + `forallBoundedTelescope` to convert them into free variables.\nThe type `type` is modified during the process if type depends on `xs`.\nWe use this method to simplify the conversion of code using `autoBoundImplicitsOld` to `autoBoundImplicits`.\n"},"Lean.Elab.Term.addAutoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1538-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits","line":1538,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits","doc":"Return `autoBoundImplicits ++ xs`\nThis method throws an error if a variable in `autoBoundImplicits` depends on some `x` in `xs`.\nThe `autoBoundImplicits` may contain free variables created by the auto-implicit feature, and unassigned free variables.\nIt avoids the hack used at `autoBoundImplicitsOld`.\n\nRemark: we cannot simply replace every occurrence of `addAutoBoundImplicitsOld` with this one because a particular\nuse-case may not be able to handle the metavariables in the array being given to `k`.\n"},"Lean.Elab.Term.addAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L63-L66","name":"Lean.Elab.Term.addAliasInfo","line":63,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addAliasInfo","doc":"(Try to) add a term info for the alias with info `info` at `ref`. "},"Lean.Elab.Term.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1431-L1433","name":"Lean.Elab.Term.adaptExpander","line":1431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.adaptExpander","doc":"Adapt a syntax transformation to a regular, term-producing elaborator. "},"Lean.Elab.Term.UseImplicitLambdaResult.yes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1264-L1264","name":"Lean.Elab.Term.UseImplicitLambdaResult.yes","line":1264,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.yes","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.postpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1265-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult.postpone","line":1265,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.postpone","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.no":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1263-L1263","name":"Lean.Elab.Term.UseImplicitLambdaResult.no","line":1263,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.no","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1262-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult","line":1262,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult","doc":""},"Lean.Elab.Term.ToParserDescrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L39-L39","name":"Lean.Elab.Term.ToParserDescrM","line":39,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrM","doc":""},"Lean.Elab.Term.ToParserDescrContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L1-L1","name":"Lean.Elab.Term.ToParserDescrContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.mk","doc":""},"Lean.Elab.Term.ToParserDescrContext.leftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L35-L35","name":"Lean.Elab.Term.ToParserDescrContext.leftRec","line":35,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.leftRec","doc":""},"Lean.Elab.Term.ToParserDescrContext.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L34-L34","name":"Lean.Elab.Term.ToParserDescrContext.first","line":34,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.first","doc":""},"Lean.Elab.Term.ToParserDescrContext.catName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L33-L33","name":"Lean.Elab.Term.ToParserDescrContext.catName","line":33,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.catName","doc":""},"Lean.Elab.Term.ToParserDescrContext.behavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L37-L37","name":"Lean.Elab.Term.ToParserDescrContext.behavior","line":37,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.behavior","doc":"See comment at `Parser.ParserCategory`. "},"Lean.Elab.Term.ToParserDescrContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L32-L37","name":"Lean.Elab.Term.ToParserDescrContext","line":32,"kind":"structure","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext","doc":""},"Lean.Elab.Term.ToParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L40-L40","name":"Lean.Elab.Term.ToParserDescr","line":40,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescr","doc":""},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L635-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","line":635,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","doc":"The `Bool` context is true iff we are inside of an \"inaccessible\" pattern. "},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L631-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo","line":631,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo","doc":"Save pattern information in the info tree, and remove `patternWithRef?` annotations.\n"},"Lean.Elab.Term.ToDepElimPattern.normalize.processVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L512-L520","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processVar","line":512,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L522-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","line":522,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.addVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L507-L510","name":"Lean.Elab.Term.ToDepElimPattern.normalize.addVar","line":507,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.addVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L455-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize","line":455,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize","doc":"Normalize the pattern and collect all patterns variables (explicit and implicit).\nThis method is the one that decides where the inaccessible annotations must be inserted.\nThe pattern variables are both free variables (for explicit pattern variables) and metavariables (for implicit ones).\nRecall that `mkLambdaFVars` now allows us to abstract both free variables and metavariables.\n"},"Lean.Elab.Term.ToDepElimPattern.main.unpack.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L706-L715","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack.go","line":706,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack.go","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.unpack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L705-L716","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack","line":705,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.pack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L681-L703","name":"Lean.Elab.Term.ToDepElimPattern.main.pack","line":681,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.pack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L662-L716","name":"Lean.Elab.Term.ToDepElimPattern.main","line":662,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main","doc":"Main method for `withDepElimPatterns`.\n- `PatternVarDecls`: are the explicit pattern variables provided by the user.\n- `ps`: are the patterns provided by the user.\n- `matchType`: the expected typ for this branch. It depends on the explicit pattern variables and the implicit ones that are still represented as metavariables,\n and are found by this function.\n- `k` is the continuation that is executed in an updated local context with the all pattern variables (explicit and implicit). Note that, `patternVarDecls` are all\n replaced since they may depend on implicit pattern variables (i.e., metavariables) that are converted into new free variables by this method.\n"},"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L381-L385","name":"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","line":381,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","doc":"Return true iff `e` is an explicit pattern variable provided by the user. "},"Lean.Elab.Term.ToDepElimPattern.TopSortM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L591-L591","name":"Lean.Elab.Term.ToDepElimPattern.TopSortM","line":591,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSortM","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L588-L588","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","line":588,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L587-L587","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","line":587,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L589-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","line":589,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L586-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State","line":586,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.patternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L364-L364","name":"Lean.Elab.Term.ToDepElimPattern.State.patternVars","line":364,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.patternVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L363-L364","name":"Lean.Elab.Term.ToDepElimPattern.State","line":363,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L378-L378","name":"Lean.Elab.Term.ToDepElimPattern.M","line":378,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.M","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.userName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L370-L370","name":"Lean.Elab.Term.ToDepElimPattern.Context.userName","line":370,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.userName","doc":"When visiting an assigned metavariable, if it has an user-name. We save it here.\nWe want to preserve these user-names when generating new pattern variables. "},"Lean.Elab.Term.ToDepElimPattern.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L376-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","line":376,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","doc":"Pattern variables that were explicitly provided by the user.\nRecall that implicit parameters and `_` are elaborated as metavariables, and then converted into pattern variables\nby the `normalize` procedure.\n"},"Lean.Elab.Term.ToDepElimPattern.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L366-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context","line":366,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context","doc":""},"Lean.Elab.Term.TermElabResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L262-L262","name":"Lean.Elab.Term.TermElabResult","line":262,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabResult","doc":""},"Lean.Elab.Term.TermElabM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1666-L1671","name":"Lean.Elab.Term.TermElabM.toIO","line":1666,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.toIO","doc":""},"Lean.Elab.Term.TermElabM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1663-L1664","name":"Lean.Elab.Term.TermElabM.run'","line":1663,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run'","doc":""},"Lean.Elab.Term.TermElabM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1660-L1661","name":"Lean.Elab.Term.TermElabM.run","line":1660,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run","doc":""},"Lean.Elab.Term.TermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L221-L221","name":"Lean.Elab.Term.TermElabM","line":221,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM","doc":""},"Lean.Elab.Term.TermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L222-L222","name":"Lean.Elab.Term.TermElab","line":222,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElab","doc":""},"Lean.Elab.Term.SyntheticMVarKind.typeClass":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L29-L30","name":"Lean.Elab.Term.SyntheticMVarKind.typeClass","line":29,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.typeClass","doc":"Use typeclass resolution to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L36-L37","name":"Lean.Elab.Term.SyntheticMVarKind.tactic","line":36,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.tactic","doc":"Use tactic to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.postponed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L38-L39","name":"Lean.Elab.Term.SyntheticMVarKind.postponed","line":38,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.postponed","doc":"Metavariable represents a hole whose elaboration has been postponed. 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the following example:\n```\nstructure A where\n x : Nat := 1\n\nstructure B extends A where\n y : Nat := x + 1\n x := y + 1\n\nstructure C extends B where\n z : Nat := 2*y\n x := z + 3\n```\nAnd we are trying to elaborate a structure instance for `C`. There are default values for `x` at `A`, `B`, and `C`.\nWe say the default value at `C` has distance 0, the one at `B` distance 1, and the one at `A` distance 2.\nThe field `maxDistance` specifies the maximum distance considered in a round of Default field computation.\nRemark: since `C` does not set a default value of `y`, the default value at `B` is at distance 0.\n\nThe fixpoint for setting default values works in the following way.\n- Keep computing default values using `maxDistance == 0`.\n- We increase `maxDistance` whenever we failed to compute a new default value in a round.\n- If `maxDistance > 0`, then we interrupt a round as soon as we compute some default value.\n We use depth-first search.\n- We sign an error if no progress is made when `maxDistance` == structure hierarchy depth (2 in the example above).\n"},"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L652-L652","name":"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","line":652,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","doc":""},"Lean.Elab.Term.StructInst.DefaultFields.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L649-L679","name":"Lean.Elab.Term.StructInst.DefaultFields.Context","line":649,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L537-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.params","line":537,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.params","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L1-L1","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.mk","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L536-L536","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","line":536,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L535-L535","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","line":535,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L534-L534","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","line":534,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L533-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult","line":533,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult","doc":""},"Lean.Elab.Term.State.syntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L105-L105","name":"Lean.Elab.Term.State.syntheticMVars","line":105,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.syntheticMVars","doc":""},"Lean.Elab.Term.State.pendingMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L106-L106","name":"Lean.Elab.Term.State.pendingMVars","line":106,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.pendingMVars","doc":""},"Lean.Elab.Term.State.mvarErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L107-L107","name":"Lean.Elab.Term.State.mvarErrorInfos","line":107,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mvarErrorInfos","doc":""},"Lean.Elab.Term.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mk","doc":""},"Lean.Elab.Term.State.levelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L104-L104","name":"Lean.Elab.Term.State.levelNames","line":104,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.levelNames","doc":""},"Lean.Elab.Term.State.letRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L108-L108","name":"Lean.Elab.Term.State.letRecsToLift","line":108,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.letRecsToLift","doc":""},"Lean.Elab.Term.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/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state for the `TermElabM` 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present.\n"},"Lean.Elab.Term.Quotation.elabPrecheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L139-L142","name":"Lean.Elab.Term.Quotation.elabPrecheckedQuot","line":139,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.elabPrecheckedQuot","doc":""},"Lean.Elab.Term.Quotation.elabNoErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L680-L683","name":"Lean.Elab.Term.Quotation.elabNoErrorIfUnused","line":680,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabNoErrorIfUnused","doc":""},"Lean.Elab.Term.Quotation.elabMatchSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L677-L678","name":"Lean.Elab.Term.Quotation.elabMatchSyntax","line":677,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabMatchSyntax","doc":""},"Lean.Elab.Term.Quotation.commandElab_stx_quot_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L261-L262","name":"Lean.Elab.Term.Quotation.commandElab_stx_quot_","line":261,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.commandElab_stx_quot_","doc":""},"Lean.Elab.Term.Quotation.addNamedQuotInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L208-L216","name":"Lean.Elab.Term.Quotation.addNamedQuotInfo","line":208,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.addNamedQuotInfo","doc":""},"Lean.Elab.Term.Quotation.PrecheckM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L19-L19","name":"Lean.Elab.Term.Quotation.PrecheckM","line":19,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.PrecheckM","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L17-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","line":17,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L1-L1","name":"Lean.Elab.Term.Quotation.Precheck.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.mk","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L16-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context","line":16,"kind":"structure","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context","doc":""},"Lean.Elab.Term.Quotation.Precheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L20-L20","name":"Lean.Elab.Term.Quotation.Precheck","line":20,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck","doc":""},"Lean.Elab.Term.Quotation.MatchResult.undecided":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L307-L308","name":"Lean.Elab.Term.Quotation.MatchResult.undecided","line":307,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult.undecided","doc":"Pattern 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"},"Lean.Elab.Term.Quotation.MatchResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L301-L308","name":"Lean.Elab.Term.Quotation.MatchResult","line":301,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult","doc":"Describe whether a pattern is covered by a head check (induced by the pattern itself or a different pattern). "},"Lean.Elab.Term.Quotation.IdxSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L595-L595","name":"Lean.Elab.Term.Quotation.IdxSet","line":595,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.IdxSet","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.onMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L323-L323","name":"Lean.Elab.Term.Quotation.HeadInfo.onMatch","line":323,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.onMatch","doc":"compute compatibility of pattern with given head check "},"Lean.Elab.Term.Quotation.HeadInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L1-L1","name":"Lean.Elab.Term.Quotation.HeadInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.mk","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.doMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L325-L325","name":"Lean.Elab.Term.Quotation.HeadInfo.doMatch","line":325,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.doMatch","doc":"actually run the specified head check, with the discriminant bound to `__discr` "},"Lean.Elab.Term.Quotation.HeadInfo.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L321-L321","name":"Lean.Elab.Term.Quotation.HeadInfo.check","line":321,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.check","doc":"check induced by the pattern "},"Lean.Elab.Term.Quotation.HeadInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L319-L325","name":"Lean.Elab.Term.Quotation.HeadInfo","line":319,"kind":"structure","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo","doc":"All necessary information on a pattern head. "},"Lean.Elab.Term.Quotation.HeadCheck.unconditional":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L280-L281","name":"Lean.Elab.Term.Quotation.HeadCheck.unconditional","line":280,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.unconditional","doc":"match step that always succeeds: _, x, `($x), ... "},"Lean.Elab.Term.Quotation.HeadCheck.slice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L290-L293","name":"Lean.Elab.Term.Quotation.HeadCheck.slice","line":290,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.slice","doc":"Match step that succeeds on `null` nodes of arity at least `numPrefix + numSuffix`, introducing discriminants\nfor the first `numPrefix` children, one `null` node for those in between, and for the `numSuffix` last children.\nexample: `([$x, $xs,*, $y]) is `slice 2 2` "},"Lean.Elab.Term.Quotation.HeadCheck.shape":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L282-L289","name":"Lean.Elab.Term.Quotation.HeadCheck.shape","line":282,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.shape","doc":"match step based on kind and, optionally, arity of discriminant\nIf `arity` is given, that number of new discriminants is introduced. `covered` patterns should then introduce the\nsame number of new patterns.\nWe actually check the arity at run time only in the case of `null` nodes since it should otherwise by implied by\nthe node kind.\nwithout arity: `($x:k)\nwith arity: any quotation without an antiquotation head pattern "},"Lean.Elab.Term.Quotation.HeadCheck.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L294-L296","name":"Lean.Elab.Term.Quotation.HeadCheck.other","line":294,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.other","doc":"other, complicated match step that will probably only cover identical patterns\nexample: antiquotation splices `($[...]*) "},"Lean.Elab.Term.Quotation.HeadCheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L279-L296","name":"Lean.Elab.Term.Quotation.HeadCheck","line":279,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck","doc":"In a single match step, we match the first discriminant against the \"head\" of the first pattern of the first\nalternative. This datatype describes what kind of check this involves, which helps other patterns decide if\nthey are covered by the same check and don't have to be checked again (see also `MatchResult`). "},"Lean.Elab.Term.Quotation.ArrayStxBuilder.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L87-L90","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.push","line":87,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.push","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L95-L106","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","line":95,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L81-L81","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","line":81,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.build":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L83-L85","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.build","line":83,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.build","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L92-L93","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.append","line":92,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.append","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L77-L77","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder","line":77,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder","doc":"Transform sequence of pushes and appends into acceptable code "},"Lean.Elab.Term.PatternVarDecl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.PatternVarDecl.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternVarDecl.mk","doc":""},"Lean.Elab.Term.PatternVarDecl.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L172-L172","name":"Lean.Elab.Term.PatternVarDecl.fvarId","line":172,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternVarDecl.fvarId","doc":""},"Lean.Elab.Term.PatternVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L171-L172","name":"Lean.Elab.Term.PatternVarDecl","line":171,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternVarDecl","doc":"We convert the collected `PatternVar`s intro `PatternVarDecl` "},"Lean.Elab.Term.PatternVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L14-L14","name":"Lean.Elab.Term.PatternVar","line":14,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.PatternVar","doc":""},"Lean.Elab.Term.PatternElabException.patternIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L211-L211","name":"Lean.Elab.Term.PatternElabException.patternIdx","line":211,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.patternIdx","doc":""},"Lean.Elab.Term.PatternElabException.pathToIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L212-L212","name":"Lean.Elab.Term.PatternElabException.pathToIndex","line":212,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.pathToIndex","doc":""},"Lean.Elab.Term.PatternElabException.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.PatternElabException.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.mk","doc":""},"Lean.Elab.Term.PatternElabException.ex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L210-L210","name":"Lean.Elab.Term.PatternElabException.ex","line":210,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.ex","doc":""},"Lean.Elab.Term.PatternElabException":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L209-L212","name":"Lean.Elab.Term.PatternElabException","line":209,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException","doc":"Auxiliary structure for storing an type mismatch exception when processing the\npattern #`idx` of some alternative. "},"Lean.Elab.Term.Op.elabUnOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L406-L406","name":"Lean.Elab.Term.Op.elabUnOp","line":406,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabUnOp","doc":""},"Lean.Elab.Term.Op.elabOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L396-L397","name":"Lean.Elab.Term.Op.elabOp","line":396,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabOp","doc":""},"Lean.Elab.Term.Op.elabDefaultOrNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L487-L502","name":"Lean.Elab.Term.Op.elabDefaultOrNonempty","line":487,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabDefaultOrNonempty","doc":""},"Lean.Elab.Term.Op.elabBinRelNoProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L484-L484","name":"Lean.Elab.Term.Op.elabBinRelNoProp","line":484,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelNoProp","doc":""},"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L475-L480","name":"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","line":475,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","doc":"If `noProp == true` and `e` has type `Prop`, then coerce it to `Bool`. "},"Lean.Elab.Term.Op.elabBinRelCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L416-L480","name":"Lean.Elab.Term.Op.elabBinRelCore","line":416,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore","doc":"Elaboration functionf for `binrel%` and `binrel_no_prop%` notations.\nWe use the infrastructure for `binop%` to make sure we propagate information between the left and right hand sides\nof a binary relation.\n\nRecall that the `binrel_no_prop%` notation is used for relations such as `==` which do not support `Prop`, but\nwe still want to be able to write `(5 > 2) == (2 > 1)`.\n"},"Lean.Elab.Term.Op.elabBinRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L482-L482","name":"Lean.Elab.Term.Op.elabBinRel","line":482,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRel","doc":""},"Lean.Elab.Term.Op.elabBinOpLazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L403-L403","name":"Lean.Elab.Term.Op.elabBinOpLazy","line":403,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinOpLazy","doc":""},"Lean.Elab.Term.Op.elabBinOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L400-L400","name":"Lean.Elab.Term.Op.elabBinOp","line":400,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinOp","doc":""},"Lean.Elab.Term.NamedArg.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L22-L22","name":"Lean.Elab.Term.NamedArg.val","line":22,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.val","doc":""},"Lean.Elab.Term.NamedArg.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L20-L20","name":"Lean.Elab.Term.NamedArg.ref","line":20,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.ref","doc":""},"Lean.Elab.Term.NamedArg.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L21-L21","name":"Lean.Elab.Term.NamedArg.name","line":21,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.name","doc":""},"Lean.Elab.Term.NamedArg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L1-L1","name":"Lean.Elab.Term.NamedArg.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.mk","doc":""},"Lean.Elab.Term.NamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L19-L23","name":"Lean.Elab.Term.NamedArg","line":19,"kind":"structure","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg","doc":"Named arguments created using the notation `(x := val)` "},"Lean.Elab.Term.MutualClosure.pushMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L628-L641","name":"Lean.Elab.Term.MutualClosure.pushMain","line":628,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushMain","doc":""},"Lean.Elab.Term.MutualClosure.pushLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L643-L659","name":"Lean.Elab.Term.MutualClosure.pushLetRecs","line":643,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L678-L704","name":"Lean.Elab.Term.MutualClosure.main","line":678,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.main","doc":"- `sectionVars`: The section variables used in the `mutual` block.\n- `mainHeaders`: The elaborated header of the top-level definitions being defined by the mutual block.\n- `mainFVars`: The auxiliary variables used to represent the top-level definitions being defined by the mutual block.\n- `mainVals`: The elaborated value for the top-level definitions\n- `letRecsToLift`: The let-rec's definitions that need to be lifted\n"},"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L612-L614","name":"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","line":612,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","doc":""},"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L617-L619","name":"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","line":617,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L665-L669","name":"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","line":665,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getKindForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L661-L663","name":"Lean.Elab.Term.MutualClosure.getKindForLetRecs","line":661,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getKindForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.UsedFVarsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L318-L318","name":"Lean.Elab.Term.MutualClosure.UsedFVarsMap","line":318,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.UsedFVarsMap","doc":"A 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metavariables.\n"},"Lean.Elab.Term.LetRecView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.mk","doc":""},"Lean.Elab.Term.LetRecView.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L26-L26","name":"Lean.Elab.Term.LetRecView.decls","line":26,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.decls","doc":""},"Lean.Elab.Term.LetRecView.body":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L27-L27","name":"Lean.Elab.Term.LetRecView.body","line":27,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.body","doc":""},"Lean.Elab.Term.LetRecView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L25-L27","name":"Lean.Elab.Term.LetRecView","line":25,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView","doc":""},"Lean.Elab.Term.LetRecToLift.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L96-L96","name":"Lean.Elab.Term.LetRecToLift.val","line":96,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.val","doc":""},"Lean.Elab.Term.LetRecToLift.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L95-L95","name":"Lean.Elab.Term.LetRecToLift.type","line":95,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.type","doc":""},"Lean.Elab.Term.LetRecToLift.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L91-L91","name":"Lean.Elab.Term.LetRecToLift.shortDeclName","line":91,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.shortDeclName","doc":""},"Lean.Elab.Term.LetRecToLift.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L88-L88","name":"Lean.Elab.Term.LetRecToLift.ref","line":88,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.ref","doc":""},"Lean.Elab.Term.LetRecToLift.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L97-L97","name":"Lean.Elab.Term.LetRecToLift.mvarId","line":97,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mvarId","doc":""},"Lean.Elab.Term.LetRecToLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.LetRecToLift.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mk","doc":""},"Lean.Elab.Term.LetRecToLift.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L94-L94","name":"Lean.Elab.Term.LetRecToLift.localInstances","line":94,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.localInstances","doc":""},"Lean.Elab.Term.LetRecToLift.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L93-L93","name":"Lean.Elab.Term.LetRecToLift.lctx","line":93,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.lctx","doc":""},"Lean.Elab.Term.LetRecToLift.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L89-L89","name":"Lean.Elab.Term.LetRecToLift.fvarId","line":89,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.fvarId","doc":""},"Lean.Elab.Term.LetRecToLift.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L92-L92","name":"Lean.Elab.Term.LetRecToLift.declName","line":92,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.declName","doc":""},"Lean.Elab.Term.LetRecToLift.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L90-L90","name":"Lean.Elab.Term.LetRecToLift.attrs","line":90,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.attrs","doc":""},"Lean.Elab.Term.LetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L87-L98","name":"Lean.Elab.Term.LetRecToLift","line":87,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift","doc":"Nested `let rec` expressions are eagerly lifted by the elaborator.\nWe store the information necessary for performing the lifting here.\n"},"Lean.Elab.Term.LetRecDeclView.valStx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L23-L23","name":"Lean.Elab.Term.LetRecDeclView.valStx","line":23,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.valStx","doc":""},"Lean.Elab.Term.LetRecDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L21-L21","name":"Lean.Elab.Term.LetRecDeclView.type","line":21,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.type","doc":""},"Lean.Elab.Term.LetRecDeclView.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L18-L18","name":"Lean.Elab.Term.LetRecDeclView.shortDeclName","line":18,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.shortDeclName","doc":""},"Lean.Elab.Term.LetRecDeclView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L16-L16","name":"Lean.Elab.Term.LetRecDeclView.ref","line":16,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.ref","doc":""},"Lean.Elab.Term.LetRecDeclView.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L22-L22","name":"Lean.Elab.Term.LetRecDeclView.mvar","line":22,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mvar","doc":""},"Lean.Elab.Term.LetRecDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mk","doc":""},"Lean.Elab.Term.LetRecDeclView.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L19-L19","name":"Lean.Elab.Term.LetRecDeclView.declName","line":19,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.declName","doc":""},"Lean.Elab.Term.LetRecDeclView.binderIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L20-L20","name":"Lean.Elab.Term.LetRecDeclView.binderIds","line":20,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.binderIds","doc":""},"Lean.Elab.Term.LetRecDeclView.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L17-L17","name":"Lean.Elab.Term.LetRecDeclView.attrs","line":17,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.attrs","doc":""},"Lean.Elab.Term.LetRecDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L15-L23","name":"Lean.Elab.Term.LetRecDeclView","line":15,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView","doc":""},"Lean.Elab.Term.LetIdDeclView.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L692-L692","name":"Lean.Elab.Term.LetIdDeclView.value","line":692,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.value","doc":""},"Lean.Elab.Term.LetIdDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L691-L691","name":"Lean.Elab.Term.LetIdDeclView.type","line":691,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.type","doc":""},"Lean.Elab.Term.LetIdDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.LetIdDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.mk","doc":""},"Lean.Elab.Term.LetIdDeclView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L689-L689","name":"Lean.Elab.Term.LetIdDeclView.id","line":689,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.id","doc":""},"Lean.Elab.Term.LetIdDeclView.binders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L690-L690","name":"Lean.Elab.Term.LetIdDeclView.binders","line":690,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.binders","doc":""},"Lean.Elab.Term.LetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L688-L692","name":"Lean.Elab.Term.LetIdDeclView","line":688,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView","doc":""},"Lean.Elab.Term.LValResolution.projIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L985-L985","name":"Lean.Elab.Term.LValResolution.projIdx","line":985,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.projIdx","doc":""},"Lean.Elab.Term.LValResolution.projFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L984-L984","name":"Lean.Elab.Term.LValResolution.projFn","line":984,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.projFn","doc":""},"Lean.Elab.Term.LValResolution.localRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L987-L987","name":"Lean.Elab.Term.LValResolution.localRec","line":987,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.localRec","doc":""},"Lean.Elab.Term.LValResolution.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L986-L986","name":"Lean.Elab.Term.LValResolution.const","line":986,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.const","doc":""},"Lean.Elab.Term.LValResolution":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L983-L987","name":"Lean.Elab.Term.LValResolution","line":983,"kind":"inductive","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution","doc":"Auxiliary inductive datatype that represents the resolution of an `LVal`. "},"Lean.Elab.Term.LVal.isFieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L385-L387","name":"Lean.Elab.Term.LVal.isFieldName","line":385,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.isFieldName","doc":""},"Lean.Elab.Term.LVal.getRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L381-L383","name":"Lean.Elab.Term.LVal.getRef","line":381,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.getRef","doc":""},"Lean.Elab.Term.LVal.fieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L377-L379","name":"Lean.Elab.Term.LVal.fieldName","line":377,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldName","doc":"Field `suffix?` is for producing better error messages because `x.y` may be a field access or a hierarchical/composite name.\n`ref` is the syntax object representing the field. `targetStx` is the target object being accessed. "},"Lean.Elab.Term.LVal.fieldIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L376-L376","name":"Lean.Elab.Term.LVal.fieldIdx","line":376,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldIdx","doc":""},"Lean.Elab.Term.LVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L375-L379","name":"Lean.Elab.Term.LVal","line":375,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal","doc":"Auxiliary datatype for presenting a Lean lvalue modifier.\nWe represent an unelaborated lvalue as a `Syntax` (or `Expr`) and `List LVal`.\nExample: `a.foo.1` is represented as the `Syntax` `a` and the list\n`[LVal.fieldName \"foo\", LVal.fieldIdx 1]`.\n"},"Lean.Elab.Term.GeneralizeResult.toClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L820-L820","name":"Lean.Elab.Term.GeneralizeResult.toClear","line":820,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.toClear","doc":"`FVarId`s of the variables that have been generalized. We store them to clear after in each branch. "},"Lean.Elab.Term.GeneralizeResult.refined":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L823-L823","name":"Lean.Elab.Term.GeneralizeResult.refined","line":823,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.refined","doc":""},"Lean.Elab.Term.GeneralizeResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.GeneralizeResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.mk","doc":""},"Lean.Elab.Term.GeneralizeResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L821-L821","name":"Lean.Elab.Term.GeneralizeResult.matchType","line":821,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.matchType","doc":""},"Lean.Elab.Term.GeneralizeResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L818-L818","name":"Lean.Elab.Term.GeneralizeResult.discrs","line":818,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.discrs","doc":""},"Lean.Elab.Term.GeneralizeResult.altViews":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L822-L822","name":"Lean.Elab.Term.GeneralizeResult.altViews","line":822,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.altViews","doc":""},"Lean.Elab.Term.GeneralizeResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L817-L823","name":"Lean.Elab.Term.GeneralizeResult","line":817,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult","doc":""},"Lean.Elab.Term.FunBinders.elabFunBindersAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L433-L439","name":"Lean.Elab.Term.FunBinders.elabFunBindersAux","line":433,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.elabFunBindersAux","doc":""},"Lean.Elab.Term.FunBinders.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.FunBinders.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.mk","doc":""},"Lean.Elab.Term.FunBinders.State.localInsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L388-L388","name":"Lean.Elab.Term.FunBinders.State.localInsts","line":388,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.localInsts","doc":""},"Lean.Elab.Term.FunBinders.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L387-L387","name":"Lean.Elab.Term.FunBinders.State.lctx","line":387,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.lctx","doc":""},"Lean.Elab.Term.FunBinders.State.fvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L386-L386","name":"Lean.Elab.Term.FunBinders.State.fvars","line":386,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.fvars","doc":""},"Lean.Elab.Term.FunBinders.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L389-L389","name":"Lean.Elab.Term.FunBinders.State.expectedType?","line":389,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.expectedType?","doc":""},"Lean.Elab.Term.FunBinders.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L385-L389","name":"Lean.Elab.Term.FunBinders.State","line":385,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State","doc":""},"Lean.Elab.Term.ExtractMonadResult.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L90-L90","name":"Lean.Elab.Term.ExtractMonadResult.returnType","line":90,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.returnType","doc":""},"Lean.Elab.Term.ExtractMonadResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.ExtractMonadResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.mk","doc":""},"Lean.Elab.Term.ExtractMonadResult.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L89-L89","name":"Lean.Elab.Term.ExtractMonadResult.m","line":89,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.m","doc":""},"Lean.Elab.Term.ExtractMonadResult.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L91-L91","name":"Lean.Elab.Term.ExtractMonadResult.expectedType","line":91,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.expectedType","doc":""},"Lean.Elab.Term.ExtractMonadResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L88-L91","name":"Lean.Elab.Term.ExtractMonadResult","line":88,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L65-L65","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","line":65,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L68-L68","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","line":68,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","doc":"`true` when performing dependent elimination. We use this to decide whether we optimize the \"match unit\" case.\nSee `isMatchUnit?`. "},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L64-L64","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","line":64,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L69-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","line":69,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L63-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","line":63,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","doc":""},"Lean.Elab.Term.ElabElim.setMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L817-L818","name":"Lean.Elab.Term.ElabElim.setMotive","line":817,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.setMotive","doc":"Set the `motive` field in the state. "},"Lean.Elab.Term.ElabElim.saveArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L833-L837","name":"Lean.Elab.Term.ElabElim.saveArgInfo","line":833,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.saveArgInfo","doc":"Save information for producing error messages. "},"Lean.Elab.Term.ElabElim.revertArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L749-L759","name":"Lean.Elab.Term.ElabElim.revertArgs","line":749,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.revertArgs","doc":"If the eliminator is over-applied, we \"revert\" the extra arguments. "},"Lean.Elab.Term.ElabElim.mkMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L740-L746","name":"Lean.Elab.Term.ElabElim.mkMotive","line":740,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkMotive","doc":"Infer the `motive` using the expected type by `kabstract`ing the discriminants. "},"Lean.Elab.Term.ElabElim.mkImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L840-L844","name":"Lean.Elab.Term.ElabElim.mkImplicitArg","line":840,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkImplicitArg","doc":"Create an implicit argument using the given `BinderInfo`. "},"Lean.Elab.Term.ElabElim.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L847-L873","name":"Lean.Elab.Term.ElabElim.main","line":847,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.main","doc":"Main loop of the `elimAsElab` procedure. "},"Lean.Elab.Term.ElabElim.getNextArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L801-L814","name":"Lean.Elab.Term.ElabElim.getNextArg?","line":801,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.getNextArg?","doc":"Return the next argument to be processed.\nThe result is `.none` if it is an implicit argument which was not provided using a named argument.\nThe result is `.undef` if `args` is empty and `namedArgs` does contain an entry for `binderName`.\n"},"Lean.Elab.Term.ElabElim.finalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L765-L794","name":"Lean.Elab.Term.ElabElim.finalize","line":765,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.finalize","doc":"Construct the resulting application after all discriminants have bee elaborated, and we have\nconsumed as many given arguments as possible.\n"},"Lean.Elab.Term.ElabElim.addDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L821-L822","name":"Lean.Elab.Term.ElabElim.addDiscr","line":821,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.addDiscr","doc":"Push the given expression into the `discrs` field in the state. "},"Lean.Elab.Term.ElabElim.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L725-L725","name":"Lean.Elab.Term.ElabElim.State.namedArgs","line":725,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.namedArgs","doc":"User-provided named arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State.motive?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L735-L735","name":"Lean.Elab.Term.ElabElim.State.motive?","line":735,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.motive?","doc":"Store the metavariable used to represent the motive that will be computed at `finalize`. "},"Lean.Elab.Term.ElabElim.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.mk","doc":""},"Lean.Elab.Term.ElabElim.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L731-L731","name":"Lean.Elab.Term.ElabElim.State.instMVars","line":731,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.instMVars","doc":"Instance implicit arguments collected so far. "},"Lean.Elab.Term.ElabElim.State.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L733-L733","name":"Lean.Elab.Term.ElabElim.State.idx","line":733,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.idx","doc":"Position of the next argument to be processed. We use it to decide whether the argument is the motive or a discriminant. "},"Lean.Elab.Term.ElabElim.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L723-L723","name":"Lean.Elab.Term.ElabElim.State.fType","line":723,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.fType","doc":"`f : fType "},"Lean.Elab.Term.ElabElim.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L721-L721","name":"Lean.Elab.Term.ElabElim.State.f","line":721,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.f","doc":"The resultant expression being built. "},"Lean.Elab.Term.ElabElim.State.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L729-L729","name":"Lean.Elab.Term.ElabElim.State.discrs","line":729,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.discrs","doc":"Discriminants processed so far. "},"Lean.Elab.Term.ElabElim.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L727-L727","name":"Lean.Elab.Term.ElabElim.State.args","line":727,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.args","doc":"User-provided arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L719-L735","name":"Lean.Elab.Term.ElabElim.State","line":719,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State","doc":"State of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabElim.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L737-L737","name":"Lean.Elab.Term.ElabElim.M","line":737,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.M","doc":""},"Lean.Elab.Term.ElabElim.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.mk","doc":""},"Lean.Elab.Term.ElabElim.Context.extraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L716-L716","name":"Lean.Elab.Term.ElabElim.Context.extraArgsPos","line":716,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.extraArgsPos","doc":"Position of additional arguments that should be elaborated eagerly\nbecause they can contribute to the motive inference procedure.\nFor example, in the following theorem the argument `h : a = b`\nshould be elaborated eagerly because it contains `b` which occurs\nin `motive b`.\n```\ntheorem Eq.subst' {α} {motive : α → Prop} {a b : α} (h : a = b) : motive a → motive b\n```\n"},"Lean.Elab.Term.ElabElim.Context.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L705-L705","name":"Lean.Elab.Term.ElabElim.Context.expectedType","line":705,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.expectedType","doc":""},"Lean.Elab.Term.ElabElim.Context.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L704-L704","name":"Lean.Elab.Term.ElabElim.Context.elimInfo","line":704,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.elimInfo","doc":""},"Lean.Elab.Term.ElabElim.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L703-L716","name":"Lean.Elab.Term.ElabElim.Context","line":703,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context","doc":"Context of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L174-L181","name":"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","line":174,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet stay in the `instMVars` list.\nRemark: we use this method\n - before trying to apply coercions to function,\n - before unifying the expected type.\n"},"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L187-L189","name":"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","line":187,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet are registered.\n"},"Lean.Elab.Term.ElabAppArgs.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L654-L676","name":"Lean.Elab.Term.ElabAppArgs.main","line":654,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.main","doc":"Elaborate function application arguments. "},"Lean.Elab.Term.ElabAppArgs.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L226-L227","name":"Lean.Elab.Term.ElabAppArgs.eraseNamedArg","line":226,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.eraseNamedArg","doc":"Remove named argument with name `binderName` from `namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L147-L147","name":"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","line":147,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","doc":"Metavariables that we need to set the error context using the application being built. "},"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L159-L159","name":"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","line":159,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","doc":"If the result type may be the `outParam` of some local instance.\nSee comment at `Context.resultIsOutParamSupport`\n"},"Lean.Elab.Term.ElabAppArgs.State.propagateExpected":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L154-L154","name":"Lean.Elab.Term.ElabAppArgs.State.propagateExpected","line":154,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.propagateExpected","doc":"The following field is used to implement the `propagateExpectedType` heuristic.\nIt is set to `true` true when `expectedType` still has to be propagated.\n"},"Lean.Elab.Term.ElabAppArgs.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L132-L132","name":"Lean.Elab.Term.ElabAppArgs.State.namedArgs","line":132,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.namedArgs","doc":"remaining named arguments to be processed. "},"Lean.Elab.Term.ElabAppArgs.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L149-L149","name":"Lean.Elab.Term.ElabAppArgs.State.instMVars","line":149,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.instMVars","doc":"Metavariables for the instance implicit arguments that have already been processed. "},"Lean.Elab.Term.ElabAppArgs.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L128-L128","name":"Lean.Elab.Term.ElabAppArgs.State.fType","line":128,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.fType","doc":""},"Lean.Elab.Term.ElabAppArgs.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L127-L127","name":"Lean.Elab.Term.ElabAppArgs.State.f","line":127,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.f","doc":""},"Lean.Elab.Term.ElabAppArgs.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L133-L133","name":"Lean.Elab.Term.ElabAppArgs.State.expectedType?","line":133,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.expectedType?","doc":""},"Lean.Elab.Term.ElabAppArgs.State.etaArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L145-L145","name":"Lean.Elab.Term.ElabAppArgs.State.etaArgs","line":145,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.etaArgs","doc":"When named arguments are provided and explicit arguments occurring before them are missing,\nthe elaborator eta-expands the declaration. For example,\n```\ndef f (x y : Nat) := x + y\n#check f (y := 5)\n-- fun x => f x 5\n```\n`etaArgs` stores the fresh free variables for implementing the eta-expansion.\nWhen `..` is used, eta-expansion is disabled, and missing arguments are treated as `_`.\n"},"Lean.Elab.Term.ElabAppArgs.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L130-L130","name":"Lean.Elab.Term.ElabAppArgs.State.args","line":130,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.args","doc":"Remaining regular arguments. "},"Lean.Elab.Term.ElabAppArgs.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L126-L159","name":"Lean.Elab.Term.ElabAppArgs.State","line":126,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State","doc":"Auxiliary structure for elaborating the application `f args namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L161-L161","name":"Lean.Elab.Term.ElabAppArgs.M","line":161,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.M","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L123-L123","name":"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","line":123,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","doc":"If the result type of an application is the `outParam` of some local instance, then special support may be needed\nbecause type class resolution interacts poorly with coercions in this kind of situation.\nThis flag enables the special support.\n\nThe idea is quite simple, if the result type is the `outParam` of some local instance, we simply\nexecute `synthesizeSyntheticMVarsUsingDefault`. We added this feature to make sure examples as follows\nare correctly elaborated.\n```lean\nclass GetElem (Cont : Type u) (Idx : Type v) (Elem : outParam (Type w)) where\n getElem (xs : Cont) (i : Idx) : Elem\n\nexport GetElem (getElem)\n\ninstance : GetElem (Array α) Nat α where\n getElem xs i := xs.get ⟨i, sorry⟩\n\nopaque f : Option Bool → Bool\nopaque g : Bool → Bool\n\ndef bad (xs : Array Bool) : Bool :=\n let x := getElem xs 0\n f x && g x\n```\nWithout the special support, Lean fails at `g x` saying `x` has type `Option Bool` but is expected to have type `Bool`.\nFrom the user's point of view this is a bug, since `let x := getElem xs 0` clearly constrains `x` to be `Bool`, but\nwe only obtain this information after we apply the `OfNat` default instance for `0`.\n\nBefore converging to this solution, we have tried to create a \"coercion placeholder\" when `resultIsOutParamSupport = true`,\nbut it did not work well in practice. For example, it failed in the example above.\n"},"Lean.Elab.Term.ElabAppArgs.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L91-L91","name":"Lean.Elab.Term.ElabAppArgs.Context.explicit","line":91,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.explicit","doc":"`true` if `@` modifier was used\n"},"Lean.Elab.Term.ElabAppArgs.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L87-L87","name":"Lean.Elab.Term.ElabAppArgs.Context.ellipsis","line":87,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.ellipsis","doc":"`true` if `..` was used\n"},"Lean.Elab.Term.ElabAppArgs.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L83-L123","name":"Lean.Elab.Term.ElabAppArgs.Context","line":83,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context","doc":""},"Lean.Elab.Term.Do.pullExitPointsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L374-L390","name":"Lean.Elab.Term.Do.pullExitPointsAux","line":374,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPointsAux","doc":"`pullExitPointsAux rs c` auxiliary method for `pullExitPoints`, `rs` is the set of update variable in the current path. "},"Lean.Elab.Term.Do.pullExitPoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L441-L446","name":"Lean.Elab.Term.Do.pullExitPoints","line":441,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPoints","doc":"Auxiliary operation for adding new variables to the collection of updated variables in a CodeBlock.\nWhen a new variable is not already in the collection, but is shadowed by some declaration in `c`,\nwe create auxiliary join points to make sure we preserve the semantics of the code block.\nExample: suppose we have the code block `print x; let x := 10; return x`. And we want to extend it\nwith the reassignment `x := x + 1`. We first use `pullExitPoints` to create\n```\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nand then we add the reassignment\n```\nx := x + 1\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nNote that we created a fresh variable `x!1` to avoid accidental name capture.\nAs another example, consider\n```\nprint x;\nlet x := 10\ny := y + 1;\nreturn x;\n```\nWe transform it into\n```\nlet jp (y x!1) := return x!1;\nprint x;\nlet x := 10\ny := y + 1;\njmp jp y x\n```\nand then we add the reassignment as in the previous example.\nWe need to include `y` in the jump, because each exit point is implicitly returning the set of\nupdate variables.\n\nWe implement the method as follows. Let `us` be `c.uvars`, then\n1- for each `return _ y` in `c`, we create a join point\n `let j (us y!1) := return y!1`\n and replace the `return _ y` with `jmp us y`\n2- for each `break`, we create a join point\n `let j (us) := break`\n and replace the `break` with `jmp us`.\n3- Same as 2 for `continue`.\n"},"Lean.Elab.Term.Do.mkVarDeclCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L509-L512","name":"Lean.Elab.Term.Do.mkVarDeclCore","line":509,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkVarDeclCore","doc":"Extending code blocks with variable declarations: `let x : t := v` and `let x : t ← v`.\nWe remove `x` from the collection of updated varibles.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `let (x, y) := t`\n"},"Lean.Elab.Term.Do.mkUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L560-L562","name":"Lean.Elab.Term.Do.mkUnless","line":560,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkUnless","doc":""},"Lean.Elab.Term.Do.mkTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L531-L532","name":"Lean.Elab.Term.Do.mkTerminalAction","line":531,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkTerminalAction","doc":""},"Lean.Elab.Term.Do.mkSimpleJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L351-L358","name":"Lean.Elab.Term.Do.mkSimpleJmp","line":351,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSimpleJmp","doc":"Create a new jointpoint for `c`, and jump to it with the variables `rs` "},"Lean.Elab.Term.Do.mkSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L528-L529","name":"Lean.Elab.Term.Do.mkSeq","line":528,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSeq","doc":""},"Lean.Elab.Term.Do.mkReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L534-L535","name":"Lean.Elab.Term.Do.mkReturn","line":534,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReturn","doc":""},"Lean.Elab.Term.Do.mkReassignCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L520-L526","name":"Lean.Elab.Term.Do.mkReassignCore","line":520,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReassignCore","doc":"Extending code blocks with reassignments: `x : t := v` and `x : t ← v`.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `(x, y) ← t`\n"},"Lean.Elab.Term.Do.mkPureUnitAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L557-L558","name":"Lean.Elab.Term.Do.mkPureUnitAction","line":557,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkPureUnitAction","doc":""},"Lean.Elab.Term.Do.mkMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L564-L570","name":"Lean.Elab.Term.Do.mkMatch","line":564,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkMatch","doc":""},"Lean.Elab.Term.Do.mkJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L363-L371","name":"Lean.Elab.Term.Do.mkJmp","line":363,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkJmp","doc":"Create a new joinpoint that takes `rs` and `val` as arguments. `val` must be syntax representing a pure value.\nThe body of the joinpoint is created using `mkJPBody yFresh`, where `yFresh`\nis a fresh variable created by this method. 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two code blocks `c₁` and `c₂`, make sure they have the same set of updated variables.\nLet `ws` the union of the updated variables in `c₁‵ and ‵c₂`.\nWe use `extendUpdatedVars c₁ ws` and `extendUpdatedVars c₂ ws`\n"},"Lean.Elab.Term.Do.hasTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L268-L271","name":"Lean.Elab.Term.Do.hasTerminalAction","line":268,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasTerminalAction","doc":""},"Lean.Elab.Term.Do.hasReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L263-L266","name":"Lean.Elab.Term.Do.hasReturn","line":263,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasReturn","doc":""},"Lean.Elab.Term.Do.hasExitPointPred.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L249-L257","name":"Lean.Elab.Term.Do.hasExitPointPred.loop","line":249,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred.loop","doc":""},"Lean.Elab.Term.Do.hasExitPointPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L248-L258","name":"Lean.Elab.Term.Do.hasExitPointPred","line":248,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred","doc":"Return 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Term.Do.getDoHaveVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L633-L647","name":"Lean.Elab.Term.Do.getDoHaveVars","line":633,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoHaveVars","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L449-L473","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux.update","line":449,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux.update","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L448-L474","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux","line":448,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux","doc":""},"Lean.Elab.Term.Do.extendUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L481-L486","name":"Lean.Elab.Term.Do.extendUpdatedVars","line":481,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVars","doc":"Extend the set of updated variables. It assumes `ws` is a super set of `c.uvars`.\nWe **cannot** simply update the field `c.uvars`, because `c` may have shadowed some variable in `ws`.\nSee discussion at `pullExitPoints`.\n"},"Lean.Elab.Term.Do.eraseVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L342-L343","name":"Lean.Elab.Term.Do.eraseVars","line":342,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseVars","doc":""},"Lean.Elab.Term.Do.eraseOptVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L345-L348","name":"Lean.Elab.Term.Do.eraseOptVar","line":345,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseOptVar","doc":""},"Lean.Elab.Term.Do.elabDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1676-L1684","name":"Lean.Elab.Term.Do.elabDo","line":1676,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.elabDo","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L296-L308","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","line":296,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L295-L309","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp","line":295,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp","doc":"Convert `action _ e` instructions in `c` into `let y ← e; jmp _ jp (xs y)`. "},"Lean.Elab.Term.Do.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L574-L585","name":"Lean.Elab.Term.Do.concat","line":574,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.concat","doc":"Return a code block that executes `terminal` and then `k` with the value produced by `terminal`.\nThis method assumes `terminal` is a terminal "},"Lean.Elab.Term.Do.attachJPs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L319-L320","name":"Lean.Elab.Term.Do.attachJPs","line":319,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJPs","doc":""},"Lean.Elab.Term.Do.attachJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L316-L317","name":"Lean.Elab.Term.Do.attachJP","line":316,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJP","doc":""},"Lean.Elab.Term.Do.annotate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L885-L886","name":"Lean.Elab.Term.Do.annotate","line":885,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.annotate","doc":"Helper method for annotating `term` with the raw syntax `ref`.\nWe use this method to implement finer-grained term infos for `do`-blocks.\n\nWe use `withRef term` to make sure the synthetic position for the `with_annotate_term` is equal\nto the one for `term`. This is important for producing error messages when there is a type mismatch.\nConsider the following example:\n```\nopaque f : IO Nat\n\ndef g : IO String := do\n f\n```\nThere is at type mismatch at `f`, but it is detected when elaborating the expanded term\ncontaining the `with_annotate_term .. f`. The current `getRef` when this `annotate` is invoked\nis not necessarily `f`. Actually, it is the whole `do`-block. By using `withRef` we ensure\nthe synthetic position for the `with_annotate_term ..` is equal to `term`.\nRecall that synthetic positions are used when generating error messages.\n"},"Lean.Elab.Term.Do.addFreshJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L334-L337","name":"Lean.Elab.Term.Do.addFreshJP","line":334,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.addFreshJP","doc":""},"Lean.Elab.Term.Do.VarSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L216-L216","name":"Lean.Elab.Term.Do.VarSet","line":216,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.VarSet","doc":""},"Lean.Elab.Term.Do.Var":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L129-L129","name":"Lean.Elab.Term.Do.Var","line":129,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Var","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1063-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm.go","line":1063,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm.go","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1056-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm","line":1056,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.seqToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L967-L976","name":"Lean.Elab.Term.Do.ToTerm.seqToTerm","line":967,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.seqToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1084-L1085","name":"Lean.Elab.Term.Do.ToTerm.run","line":1084,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.run","doc":""},"Lean.Elab.Term.Do.ToTerm.returnToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L919-L929","name":"Lean.Elab.Term.Do.ToTerm.returnToTerm","line":919,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.returnToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.reassignToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1009-L1015","name":"Lean.Elab.Term.Do.ToTerm.reassignToTerm","line":1009,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.reassignToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkUVarTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L915-L917","name":"Lean.Elab.Term.Do.ToTerm.mkUVarTuple","line":915,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkUVarTuple","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1104-L1105","name":"Lean.Elab.Term.Do.ToTerm.mkNestedTerm","line":1104,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1093-L1102","name":"Lean.Elab.Term.Do.ToTerm.mkNestedKind","line":1093,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedKind","doc":"Given\n- `a` is true if the code block has a `Code.action _` exit point\n- `r` is true if the code block has a `Code.return _ _` exit point\n- `bc` is true if the code block has a `Code.break _` or `Code.continue _` exit point\n\ngenerate Kind. See comment at the beginning of the `ToTerm` namespace. "},"Lean.Elab.Term.Do.ToTerm.mkJoinPoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1024-L1051","name":"Lean.Elab.Term.Do.ToTerm.mkJoinPoint","line":1024,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkJoinPoint","doc":""},"Lean.Elab.Term.Do.ToTerm.mkJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1053-L1054","name":"Lean.Elab.Term.Do.ToTerm.mkJmp","line":1053,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkJmp","doc":""},"Lean.Elab.Term.Do.ToTerm.mkIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1017-L1022","name":"Lean.Elab.Term.Do.ToTerm.mkIte","line":1017,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkIte","doc":""},"Lean.Elab.Term.Do.ToTerm.matchNestedTermResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1115-L1158","name":"Lean.Elab.Term.Do.ToTerm.matchNestedTermResult","line":1115,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.matchNestedTermResult","doc":"Given 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"},"Lean.Elab.Term.Do.ToTerm.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToTerm.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.mk","doc":""},"Lean.Elab.Term.Do.ToTerm.Context.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L907-L907","name":"Lean.Elab.Term.Do.ToTerm.Context.m","line":907,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.m","doc":"Syntax to reference the monad associated with the do notation. "},"Lean.Elab.Term.Do.ToTerm.Context.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L911-L911","name":"Lean.Elab.Term.Do.ToTerm.Context.kind","line":911,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.kind","doc":""},"Lean.Elab.Term.Do.ToTerm.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L905-L911","name":"Lean.Elab.Term.Do.ToTerm.Context","line":905,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1181-L1182","name":"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","line":1181,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1200-L1201","name":"Lean.Elab.Term.Do.ToCodeBlock.withFor","line":1200,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1294-L1299","name":"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","line":1294,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1671-L1672","name":"Lean.Elab.Term.Do.ToCodeBlock.run","line":1671,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.run","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1207-L1212","name":"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","line":1207,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1286-L1292","name":"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","line":1286,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1252-L1258","name":"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","line":1252,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1214-L1216","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","line":1214,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1218-L1220","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","line":1218,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1418-L1423","name":"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","line":1418,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","doc":"Generate `CodeBlock` for `doUnless; doElems`\n`doUnless` is of the form\n```\n\"unless \" >> termParser >> \"do \" >> doSeq\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1544-L1593","name":"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","line":1544,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","doc":"Generate `CodeBlock` for `doTry; doElems`\n```\ndef doTry := leading_parser \"try \" >> doSeq >> many (doCatch <|> doCatchMatch) >> optional doFinally\ndef doCatch := leading_parser \"catch \" >> binderIdent >> optional (\":\" >> termParser) >> darrow >> doSeq\ndef doCatchMatch := leading_parser \"catch \" >> doMatchAlts\ndef doFinally := leading_parser \"finally \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1595-L1668","name":"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","line":1595,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1275-L1279","name":"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","line":1275,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","doc":"Generate `CodeBlock` for `doReturn` which is of the form\n```\n\"return \" >> optional termParser\n```\n`doElems` is only used for sanity checking. "},"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1380-L1397","name":"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","line":1380,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","doc":"Generate `CodeBlock` for `doReassignArrow; doElems`\n`doReassignArrow` is of the form\n```\n(doIdDecl <|> doPatDecl)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1518-L1533","name":"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","line":1518,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","doc":"Generate `CodeBlock` for `doMatch; doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1360-L1372","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","line":1360,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1322-L1358","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","line":1322,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","doc":"Generate `CodeBlock` for `doLetArrow; doElems`\n`doLetArrow` is of the form\n```\n\"let \" >> optional \"mut \" >> (doIdDecl <|> doPatDecl)\n```\nwhere\n```\ndef doIdDecl := leading_parser ident >> optType >> leftArrow >> doElemParser\ndef doPatDecl := leading_parser termParser >> leftArrow >> doElemParser >> optional (\" | \" >> doSeq)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1406-L1411","name":"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","line":1406,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","doc":"Generate `CodeBlock` for `doIf; doElems`\n`doIf` is of the form\n```\n\"if \" >> optIdent >> termParser >> \" then \" >> doSeq\n >> many (group (try (group (\" else \" >> \" if \")) >> optIdent >> termParser >> \" then \" >> doSeq))\n >> optional (\" else \" >> doSeq)\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doForToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1432-L1515","name":"Lean.Elab.Term.Do.ToCodeBlock.doForToCode","line":1432,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doForToCode","doc":"Generate `CodeBlock` for `doFor; doElems`\n`doFor` is of the form\n```\ndef doForDecl := leading_parser termParser >> \" in \" >> withForbidden \"do\" termParser\ndef doFor := leading_parser \"for \" >> sepBy1 doForDecl \", \" >> \"do \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.concatWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1303-L1309","name":"Lean.Elab.Term.Do.ToCodeBlock.concatWith","line":1303,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.concatWith","doc":"\"Concatenate\" `c` with `doSeqToCode doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1184-L1190","name":"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","line":1184,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1192-L1198","name":"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","line":1192,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1260-L1268","name":"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","line":1260,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1204-L1204","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","line":1204,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1205-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","line":1205,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1203-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","line":1203,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1179-L1179","name":"Lean.Elab.Term.Do.ToCodeBlock.M","line":1179,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.M","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1175-L1175","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","line":1175,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","doc":"Syntax to reference the result of the monadic computation performed by the do notation. "},"Lean.Elab.Term.Do.ToCodeBlock.Context.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1171-L1171","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.ref","line":1171,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.ref","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.mutableVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1176-L1176","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.mutableVars","line":1176,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.mutableVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.mk","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1173-L1173","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.m","line":1173,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.m","doc":"Syntax representing the monad associated with the do notation. 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code block, and the collection of variables updated by it. "},"Lean.Elab.Term.Do.Code.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L192-L192","name":"Lean.Elab.Term.Do.Code.seq","line":192,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.seq","doc":""},"Lean.Elab.Term.Do.Code.return":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L196-L196","name":"Lean.Elab.Term.Do.Code.return","line":196,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.return","doc":""},"Lean.Elab.Term.Do.Code.reassign":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L189-L189","name":"Lean.Elab.Term.Do.Code.reassign","line":189,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.reassign","doc":""},"Lean.Elab.Term.Do.Code.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L199-L199","name":"Lean.Elab.Term.Do.Code.match","line":199,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.match","doc":""},"Lean.Elab.Term.Do.Code.joinpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L190-L191","name":"Lean.Elab.Term.Do.Code.joinpoint","line":190,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.joinpoint","doc":"The Boolean value in `params` indicates whether we should use `(x : typeof! x)` when generating term Syntax or not "},"Lean.Elab.Term.Do.Code.jmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L200-L200","name":"Lean.Elab.Term.Do.Code.jmp","line":200,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.jmp","doc":""},"Lean.Elab.Term.Do.Code.ite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L197-L198","name":"Lean.Elab.Term.Do.Code.ite","line":197,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.ite","doc":"Recall that an if-then-else may declare a variable using `optIdent` for the branches `thenBranch` and `elseBranch`. We store the variable name at `var?`. "},"Lean.Elab.Term.Do.Code.getRef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L203-L214","name":"Lean.Elab.Term.Do.Code.getRef?","line":203,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.getRef?","doc":""},"Lean.Elab.Term.Do.Code.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L188-L188","name":"Lean.Elab.Term.Do.Code.decl","line":188,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.decl","doc":""},"Lean.Elab.Term.Do.Code.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L195-L195","name":"Lean.Elab.Term.Do.Code.continue","line":195,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.continue","doc":""},"Lean.Elab.Term.Do.Code.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L194-L194","name":"Lean.Elab.Term.Do.Code.break","line":194,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.break","doc":""},"Lean.Elab.Term.Do.Code.action":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L193-L193","name":"Lean.Elab.Term.Do.Code.action","line":193,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.action","doc":""},"Lean.Elab.Term.Do.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L187-L201","name":"Lean.Elab.Term.Do.Code","line":187,"kind":"inductive","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code","doc":"Auxiliary datastructure for representing a `do` code block, and compiling \"reassignments\" (e.g., `x := x + 1`).\nWe convert `Code` into a `Syntax` term representing the:\n- `do`-block, or\n- the visitor argument for the `forIn` combinator.\n\nWe say the following constructors are terminals:\n- `break`: for interrupting a `for x in s`\n- `continue`: for interrupting the current iteration of a `for x in s`\n- `return e`: for returning `e` as the result for the whole `do` computation block\n- `action a`: for executing action `a` as a terminal\n- `ite`: if-then-else\n- `match`: pattern matching\n- `jmp` a goto to a join-point\n\nWe say the terminals `break`, `continue`, `action`, and `return` are \"exit points\"\n\nNote that, `return e` is not equivalent to `action (pure e)`. Here is an example:\n```\ndef f (x : Nat) : IO Unit := do\nif x == 0 then\n return ()\nIO.println \"hello\"\n```\nExecuting `#eval f 0` will not print \"hello\". Now, consider\n```\ndef g (x : Nat) : IO Unit := do\nif x == 0 then\n pure ()\nIO.println \"hello\"\n```\nThe `if` statement is essentially a noop, and \"hello\" is printed when we execute `g 0`.\n\n- `decl` represents all declaration-like `doElem`s (e.g., `let`, `have`, `let rec`).\n The field `stx` is the actual `doElem`,\n `vars` is the array of variables declared by it, and `cont` is the next instruction in the `do` code block.\n `vars` is an array since we have declarations such as `let (a, b) := s`.\n\n- `reassign` is an reassignment-like `doElem` (e.g., `x := x + 1`).\n\n- `joinpoint` is a join point declaration: an auxiliary `let`-declaration used to represent the control-flow.\n\n- `seq a k` executes action `a`, ignores its result, and then executes `k`.\n We also store the do-elements `dbg_trace` and `assert!` as actions in a `seq`.\n\nA code block `C` is well-formed if\n- For every `jmp ref j as` in `C`, there is a `joinpoint j ps b k` and `jmp ref j as` is in `k`, and\n `ps.size == as.size` "},"Lean.Elab.Term.Do.Alt.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L134-L134","name":"Lean.Elab.Term.Do.Alt.vars","line":134,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.vars","doc":""},"Lean.Elab.Term.Do.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L136-L136","name":"Lean.Elab.Term.Do.Alt.rhs","line":136,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.rhs","doc":""},"Lean.Elab.Term.Do.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L133-L133","name":"Lean.Elab.Term.Do.Alt.ref","line":133,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.ref","doc":""},"Lean.Elab.Term.Do.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L135-L135","name":"Lean.Elab.Term.Do.Alt.patterns","line":135,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.patterns","doc":""},"Lean.Elab.Term.Do.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L132-L132","name":"Lean.Elab.Term.Do.Alt.mk","line":132,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.mk","doc":""},"Lean.Elab.Term.Do.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L132-L137","name":"Lean.Elab.Term.Do.Alt","line":132,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt","doc":"A `doMatch` alternative. `vars` is the array of variables declared by `patterns`. "},"Lean.Elab.Term.Discr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.Discr.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.mk","doc":""},"Lean.Elab.Term.Discr.h?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L60-L60","name":"Lean.Elab.Term.Discr.h?","line":60,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.h?","doc":"`some h` if discriminant is annotated with the `h : ` notation. "},"Lean.Elab.Term.Discr.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L58-L58","name":"Lean.Elab.Term.Discr.expr","line":58,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.expr","doc":""},"Lean.Elab.Term.Discr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L57-L61","name":"Lean.Elab.Term.Discr","line":57,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr","doc":""},"Lean.Elab.Term.Context.tacticCache?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L206-L206","name":"Lean.Elab.Term.Context.tacticCache?","line":206,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.tacticCache?","doc":"Cache for the `save` tactic. It is only `some` in the LSP server. "},"Lean.Elab.Term.Context.sectionVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L194-L194","name":"Lean.Elab.Term.Context.sectionVars","line":194,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionVars","doc":"Map from user name to internal unique name "},"Lean.Elab.Term.Context.sectionFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L196-L196","name":"Lean.Elab.Term.Context.sectionFVars","line":196,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionFVars","doc":"Map from internal name to fvar "},"Lean.Elab.Term.Context.saveRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L211-L211","name":"Lean.Elab.Term.Context.saveRecAppSyntax","line":211,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.saveRecAppSyntax","doc":"If `true`, we store in the `Expr` the `Syntax` for recursive applications (i.e., applications\nof free variables tagged with `isAuxDecl`). We store the `Syntax` using `mkRecAppWithSyntax`.\nWe use the `Syntax` object to produce better error messages at `Structural.lean` and `WF.lean`. "},"Lean.Elab.Term.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mk","doc":""},"Lean.Elab.Term.Context.mayPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L166-L166","name":"Lean.Elab.Term.Context.mayPostpone","line":166,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mayPostpone","doc":"When `mayPostpone == true`, an elaboration function may interrupt its execution by throwing `Exception.postpone`.\nThe function `elabTerm` catches this exception and creates fresh synthetic metavariable `?m`, stores `?m` in\nthe list of pending synthetic metavariables, and returns `?m`. "},"Lean.Elab.Term.Context.macroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L161-L161","name":"Lean.Elab.Term.Context.macroStack","line":161,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.macroStack","doc":""},"Lean.Elab.Term.Context.isNoncomputableSection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L200-L200","name":"Lean.Elab.Term.Context.isNoncomputableSection","line":200,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.isNoncomputableSection","doc":"Noncomputable sections automatically add the `noncomputable` modifier to any declaration we cannot generate code for. "},"Lean.Elab.Term.Context.inPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L204-L204","name":"Lean.Elab.Term.Context.inPattern","line":204,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.inPattern","doc":"`true` when elaborating patterns. It affects how we elaborate named holes. "},"Lean.Elab.Term.Context.implicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L198-L198","name":"Lean.Elab.Term.Context.implicitLambda","line":198,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.implicitLambda","doc":"Enable/disable implicit lambdas feature. "},"Lean.Elab.Term.Context.ignoreTCFailures":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L202-L202","name":"Lean.Elab.Term.Context.ignoreTCFailures","line":202,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.ignoreTCFailures","doc":"When `true` we skip TC failures. We use this option when processing patterns. "},"Lean.Elab.Term.Context.holesAsSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L219-L219","name":"Lean.Elab.Term.Context.holesAsSyntheticOpaque","line":219,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.holesAsSyntheticOpaque","doc":"If `holesAsSyntheticOpaque` is `true`, then we mark metavariables associated\nwith `_`s as `synthethicOpaque` if they do not occur in patterns.\nThis option is useful when elaborating terms in tactics such as `refine'` where\nwe want holes there to become new goals. See issue #1681, we have\n`refine' (fun x => _)\n"},"Lean.Elab.Term.Context.errToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L175-L175","name":"Lean.Elab.Term.Context.errToSorry","line":175,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.errToSorry","doc":"When `errToSorry` is set to true, the method `elabTerm` catches\nexceptions and converts them into synthetic `sorry`s.\nThe implementation of choice nodes and overloaded symbols rely on the fact\nthat when `errToSorry` is set to false for an elaboration function `F`, then\n`errToSorry` remains `false` for all elaboration functions invoked by `F`.\nThat is, it is safe to transition `errToSorry` from `true` to `false`, but\nwe must not set `errToSorry` to `true` when it is currently set to `false`. "},"Lean.Elab.Term.Context.declName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L156-L156","name":"Lean.Elab.Term.Context.declName?","line":156,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.declName?","doc":""},"Lean.Elab.Term.Context.auxDeclToFullName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L160-L160","name":"Lean.Elab.Term.Context.auxDeclToFullName","line":160,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.auxDeclToFullName","doc":"Map `.auxDecl` local declarations used to encode recursive declarations to their full-names.\n"},"Lean.Elab.Term.Context.autoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L183-L183","name":"Lean.Elab.Term.Context.autoBoundImplicits","line":183,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicits","doc":""},"Lean.Elab.Term.Context.autoBoundImplicitForbidden":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L192-L192","name":"Lean.Elab.Term.Context.autoBoundImplicitForbidden","line":192,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicitForbidden","doc":"A name `n` is only eligible to be an auto implicit name if `autoBoundImplicitForbidden n = false`.\nWe use this predicate to disallow `f` to be considered an auto implicit name in a definition such\nas\n```\ndef f : f → Bool := fun _ => true\n```\n"},"Lean.Elab.Term.Context.autoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L182-L182","name":"Lean.Elab.Term.Context.autoBoundImplicit","line":182,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicit","doc":"When `autoBoundImplicit` is set to true, instead of producing\nan \"unknown identifier\" error for unbound variables, we generate an\ninternal exception. This exception is caught at `elabBinders` and\n`elabTypeWithUnboldImplicit`. Both methods add implicit declarations\nfor the unbound variable and try again. "},"Lean.Elab.Term.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L155-L219","name":"Lean.Elab.Term.Context","line":155,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context","doc":""},"Lean.Elab.Term.ContainsPendingMVar.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L676-L697","name":"Lean.Elab.Term.ContainsPendingMVar.visit","line":676,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.visit","doc":"See `containsPostponedTerm` "},"Lean.Elab.Term.ContainsPendingMVar.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L673-L673","name":"Lean.Elab.Term.ContainsPendingMVar.M","line":673,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.M","doc":""},"Lean.Elab.Term.CollectPatternVars.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L313-L317","name":"Lean.Elab.Term.CollectPatternVars.main","line":313,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.main","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L45-L45","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedState","line":45,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedState","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L75-L75","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedContext","line":75,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L248-L253","name":"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","line":248,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L265-L269","name":"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","line":265,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L233-L246","name":"Lean.Elab.Term.CollectPatternVars.collect.processId","line":233,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processId","doc":"Check whether `stx` is a pattern variable or constructor-like (i.e., constructor or constant tagged with `[match_pattern]` attribute) "},"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L255-L263","name":"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","line":255,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L291-L311","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","line":291,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L271-L289","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","line":271,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L216-L227","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","line":216,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L229-L230","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtor","line":229,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtor","doc":""},"Lean.Elab.Term.CollectPatternVars.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L122-L311","name":"Lean.Elab.Term.CollectPatternVars.collect","line":122,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect","doc":""},"Lean.Elab.Term.CollectPatternVars.State.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L44-L44","name":"Lean.Elab.Term.CollectPatternVars.State.vars","line":44,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.vars","doc":"Pattern variables found so far as an array. It contains the order they were found. "},"Lean.Elab.Term.CollectPatternVars.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.State.found":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L42-L42","name":"Lean.Elab.Term.CollectPatternVars.State.found","line":42,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.found","doc":"Pattern variables found so far. "},"Lean.Elab.Term.CollectPatternVars.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L40-L45","name":"Lean.Elab.Term.CollectPatternVars.State","line":40,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State","doc":"State for the pattern variable collector monad. "},"Lean.Elab.Term.CollectPatternVars.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L47-L47","name":"Lean.Elab.Term.CollectPatternVars.M","line":47,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.M","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L70-L70","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDecls","line":70,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDecls","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L71-L71","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","line":71,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.newArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L74-L74","name":"Lean.Elab.Term.CollectPatternVars.Context.newArgs","line":74,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.newArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L72-L72","name":"Lean.Elab.Term.CollectPatternVars.Context.namedArgs","line":72,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.namedArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.funId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L66-L66","name":"Lean.Elab.Term.CollectPatternVars.Context.funId","line":66,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.funId","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L68-L68","name":"Lean.Elab.Term.CollectPatternVars.Context.explicit","line":68,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.explicit","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L69-L69","name":"Lean.Elab.Term.CollectPatternVars.Context.ellipsis","line":69,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ellipsis","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L67-L67","name":"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","line":67,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L73-L73","name":"Lean.Elab.Term.CollectPatternVars.Context.args","line":73,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.args","doc":""},"Lean.Elab.Term.CollectPatternVars.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L65-L75","name":"Lean.Elab.Term.CollectPatternVars.Context","line":65,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context","doc":""},"Lean.Elab.Term.BinderView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L57-L57","name":"Lean.Elab.Term.BinderView.type","line":57,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.type","doc":""},"Lean.Elab.Term.BinderView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L55-L55","name":"Lean.Elab.Term.BinderView.ref","line":55,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.ref","doc":"Position 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The fresh identifier\nhas synthetic position since it was not written by the user, and we would not get\nhover information for the `_` because we also don't have this macro expansion step\nstored in the info tree. Thus, we store the original `Syntax` in `ref`, and use\nit when storing the binder information in the info tree.\n\nPotential better solution: add a binder syntax category, an extensible `elabBinder`\n(like we have `elabTerm`), and perform all macro expansion steps at `elabBinder` and\nrecord them in the infro tree.\n"},"Lean.Elab.Term.BinderView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.BinderView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.mk","doc":""},"Lean.Elab.Term.BinderView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L56-L56","name":"Lean.Elab.Term.BinderView.id","line":56,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.id","doc":""},"Lean.Elab.Term.BinderView.bi":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L58-L58","name":"Lean.Elab.Term.BinderView.bi","line":58,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.bi","doc":""},"Lean.Elab.Term.BinderView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L41-L58","name":"Lean.Elab.Term.BinderView","line":41,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView","doc":"Auxiliary datatype for elaborating binders. "},"Lean.Elab.Term.Arg.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L14-L14","name":"Lean.Elab.Term.Arg.stx","line":14,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.stx","doc":""},"Lean.Elab.Term.Arg.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L15-L15","name":"Lean.Elab.Term.Arg.expr","line":15,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.expr","doc":""},"Lean.Elab.Term.Arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L13-L16","name":"Lean.Elab.Term.Arg","line":13,"kind":"inductive","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg","doc":"Auxiliary inductive datatype for combining unelaborated syntax\nand already elaborated expressions. It is used to elaborate applications. "},"Lean.Elab.TacticInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TacticInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mk","doc":""},"Lean.Elab.TacticInfo.mctxBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L81-L81","name":"Lean.Elab.TacticInfo.mctxBefore","line":81,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxBefore","doc":""},"Lean.Elab.TacticInfo.mctxAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L83-L83","name":"Lean.Elab.TacticInfo.mctxAfter","line":83,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxAfter","doc":""},"Lean.Elab.TacticInfo.goalsBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L82-L82","name":"Lean.Elab.TacticInfo.goalsBefore","line":82,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsBefore","doc":""},"Lean.Elab.TacticInfo.goalsAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L84-L84","name":"Lean.Elab.TacticInfo.goalsAfter","line":84,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsAfter","doc":""},"Lean.Elab.TacticInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L132-L137","name":"Lean.Elab.TacticInfo.format","line":132,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TacticInfo.format","doc":""},"Lean.Elab.TacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L80-L85","name":"Lean.Elab.TacticInfo","line":80,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo","doc":"The information needed to render the tactic state in the infoview.\n\nWe store the list of goals before and after the execution of a tactic.\nWe also store the metavariable context at each time since we want metavariables\nunassigned at tactic execution time to be displayed as `?m...`. "},"Lean.Elab.Tactic.withoutRecover":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L255-L256","name":"Lean.Elab.Tactic.withoutRecover","line":255,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withoutRecover","doc":"Execute `x` with error recovery disabled "},"Lean.Elab.Tactic.withTacticInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L125-L126","name":"Lean.Elab.Tactic.withTacticInfoContext","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withTacticInfoContext","doc":""},"Lean.Elab.Tactic.withRWRulesSeq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L48-L50","name":"Lean.Elab.Tactic.withRWRulesSeq.go","line":48,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq.go","doc":""},"Lean.Elab.Tactic.withRWRulesSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L29-L56","name":"Lean.Elab.Tactic.withRWRulesSeq","line":29,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq","doc":""},"Lean.Elab.Tactic.withMainContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L324-L325","name":"Lean.Elab.Tactic.withMainContext","line":324,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMainContext","doc":"Execute `x` using the main goal local context and instances "},"Lean.Elab.Tactic.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L279-L281","name":"Lean.Elab.Tactic.withMacroExpansion","line":279,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Tactic.withLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Location.lean#L45-L63","name":"Lean.Elab.Tactic.withLocation","line":45,"kind":"def","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.withLocation","doc":"Runs the given `atLocal` and `atTarget` methods on each of the locations selected by the given `loc`.\nIf any of the selected tactic applications fail, it will call `failed` with the main goal mvar.\n "},"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L121-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","doc":""},"Lean.Elab.Tactic.withCollectingNewGoalsFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L92-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom","doc":"Execute `k`, and collect new \"holes\" in the resulting expression.\n"},"Lean.Elab.Tactic.withCaseRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L417-L418","name":"Lean.Elab.Tactic.withCaseRef","line":417,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withCaseRef","doc":"Use position of `=> $body` for error messages.\nIf there is a line break before `body`, the message will be displayed on `=>` only,\nbut the \"full range\" for the info view will still include `body`. "},"Lean.Elab.Tactic.unfoldTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Unfold.lean#L16-L17","name":"Lean.Elab.Tactic.unfoldTarget","line":16,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldTarget","doc":""},"Lean.Elab.Tactic.unfoldLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Unfold.lean#L13-L14","name":"Lean.Elab.Tactic.unfoldLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldLocalDecl","doc":""},"Lean.Elab.Tactic.tryTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L375-L379","name":"Lean.Elab.Tactic.tryTactic?","line":375,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic?","doc":""},"Lean.Elab.Tactic.tryTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L381-L386","name":"Lean.Elab.Tactic.tryTactic","line":381,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic","doc":""},"Lean.Elab.Tactic.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L246-L248","name":"Lean.Elab.Tactic.tryCatch","line":246,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryCatch","doc":""},"Lean.Elab.Tactic.traceSimpCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L252-L285","name":"Lean.Elab.Tactic.traceSimpCall","line":252,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.traceSimpCall","doc":""},"Lean.Elab.Tactic.throwNoGoalsToBeSolved":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L204-L205","name":"Lean.Elab.Tactic.throwNoGoalsToBeSolved","line":204,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.throwNoGoalsToBeSolved","doc":""},"Lean.Elab.Tactic.tagUntaggedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L391-L407","name":"Lean.Elab.Tactic.tagUntaggedGoals","line":391,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tagUntaggedGoals","doc":"Use `parentTag` to tag untagged goals at `newGoals`.\nIf there are multiple new untagged goals, they are named using `._` where `idx > 0`.\nIf there is only one new untagged goal, then we just use `parentTag` "},"Lean.Elab.Tactic.tacticToDischarge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L36-L59","name":"Lean.Elab.Tactic.tacticToDischarge","line":36,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tacticToDischarge","doc":"Implement a `simp` discharge function using the given tactic syntax code.\nRecall that `simp` dischargers are in `SimpM` which does not have access to `Term.State`.\nWe need access to `Term.State` to store messages and update the info tree.\nThus, we create an `IO.ref` to track these changes at `Term.State` when we execute `tacticCode`.\nWe must set this reference with the current `Term.State` before we execute `simp` using the\ngenerated `Simp.Discharge`. "},"Lean.Elab.Tactic.tacticElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L108-L108","name":"Lean.Elab.Tactic.tacticElabAttribute","line":108,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tacticElabAttribute","doc":""},"Lean.Elab.Tactic.tactic.simp.trace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L247-L250","name":"Lean.Elab.Tactic.tactic.simp.trace","line":247,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tactic.simp.trace","doc":""},"Lean.Elab.Tactic.tactic.dbg_cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Cache.lean#L26-L30","name":"Lean.Elab.Tactic.tactic.dbg_cache","line":26,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Cache.html#Lean.Elab.Tactic.tactic.dbg_cache","doc":""},"Lean.Elab.Tactic.sortMVarIdsByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L86-L87","name":"Lean.Elab.Tactic.sortMVarIdsByIndex","line":86,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdsByIndex","doc":""},"Lean.Elab.Tactic.sortMVarIdArrayByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L76-L84","name":"Lean.Elab.Tactic.sortMVarIdArrayByIndex","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdArrayByIndex","doc":""},"Lean.Elab.Tactic.simpOnlyBuiltins":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L206-L206","name":"Lean.Elab.Tactic.simpOnlyBuiltins","line":206,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpOnlyBuiltins","doc":""},"Lean.Elab.Tactic.simpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L311-L317","name":"Lean.Elab.Tactic.simpLocation.go","line":311,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation.go","doc":""},"Lean.Elab.Tactic.simpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L301-L317","name":"Lean.Elab.Tactic.simpLocation","line":301,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation","doc":"`simpLocation ctx discharge? varIdToLemmaId loc`\nruns the simplifier at locations specified by `loc`,\nusing the simp theorems collected in `ctx`\noptionally running a discharger specified in `discharge?` on generated subgoals.\n\nIts primary use is as the implementation of the\n`simp [...] at ...` and `simp only [...] at ...` syntaxes,\nbut can also be used by other tactics when a `Syntax` is not available.\n\nFor many tactics other than the simplifier,\none should use the `withLocation` tactic combinator\nwhen working with a `location`.\n"},"Lean.Elab.Tactic.setGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L57-L58","name":"Lean.Elab.Tactic.setGoals","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.setGoals","doc":""},"Lean.Elab.Tactic.saveTacticInfoForToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L273-L275","name":"Lean.Elab.Tactic.saveTacticInfoForToken","line":273,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveTacticInfoForToken","doc":"Save the current tactic state for a token `stx`.\nThis method is a no-op if `stx` has no position information.\nWe use this method to save the tactic state at punctuation such as `;`\n"},"Lean.Elab.Tactic.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L95-L96","name":"Lean.Elab.Tactic.saveState","line":95,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveState","doc":""},"Lean.Elab.Tactic.runTermElab.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L31-L31","name":"Lean.Elab.Tactic.runTermElab.go","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab.go","doc":""},"Lean.Elab.Tactic.runTermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L24-L31","name":"Lean.Elab.Tactic.runTermElab","line":24,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab","doc":"Runs a term elaborator inside a tactic.\n\nThis function ensures that term elaboration fails when backtracking,\ni.e., in `first| tac term | other`.\n"},"Lean.Elab.Tactic.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L75-L93","name":"Lean.Elab.Tactic.run","line":75,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.run","doc":""},"Lean.Elab.Tactic.rewriteTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L14-L19","name":"Lean.Elab.Tactic.rewriteTarget","line":14,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteTarget","doc":""},"Lean.Elab.Tactic.rewriteLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L21-L27","name":"Lean.Elab.Tactic.rewriteLocalDecl","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteLocalDecl","doc":""},"Lean.Elab.Tactic.replaceMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L294-L296","name":"Lean.Elab.Tactic.replaceMainGoal","line":294,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.replaceMainGoal","doc":"Discard the first goal and replace it by the given list of goals,\nkeeping the other goals. "},"Lean.Elab.Tactic.renameInaccessibles":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/BuiltinTactic.lean#L335-L366","name":"Lean.Elab.Tactic.renameInaccessibles","line":335,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.renameInaccessibles","doc":""},"Lean.Elab.Tactic.refineCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L152-L161","name":"Lean.Elab.Tactic.refineCore","line":152,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.refineCore","doc":"If `allowNaturalHoles == true`, then we allow the resultant expression to contain unassigned \"natural\" metavariables.\nRecall that \"natutal\" metavariables are created for explicit holes `_` and implicit arguments. They are meant to be\nfilled by typing constraints.\n\"Synthetic\" metavariables are meant to be filled by tactics and are usually created using the synthetic hole notation `?`. "},"Lean.Elab.Tactic.pruneSolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L60-L63","name":"Lean.Elab.Tactic.pruneSolvedGoals","line":60,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.pruneSolvedGoals","doc":""},"Lean.Elab.Tactic.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L258-L259","name":"Lean.Elab.Tactic.orElse","line":258,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.orElse","doc":""},"Lean.Elab.Tactic.mkTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L110-L118","name":"Lean.Elab.Tactic.mkTacticInfo","line":110,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticInfo","doc":""},"Lean.Elab.Tactic.mkTacticAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L105-L106","name":"Lean.Elab.Tactic.mkTacticAttribute","line":105,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticAttribute","doc":""},"Lean.Elab.Tactic.mkSimpContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L218-L245","name":"Lean.Elab.Tactic.mkSimpContext","line":218,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.mkSimpContext","doc":"Create the `Simp.Context` for the `simp`, `dsimp`, and `simp_all` tactics.\nIf `kind != SimpKind.simp`, the `discharge` option must be `none`\n\nTODO: generate error message if non `rfl` theorems are provided as arguments to 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If it a free variable, return it. Otherwise, assert it, and return the free variable.\nNote that, the main goal is updated when `Meta.assert` is used in the second case. "},"Lean.Elab.Tactic.dsimpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L348-L355","name":"Lean.Elab.Tactic.dsimpLocation.go","line":348,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation.go","doc":""},"Lean.Elab.Tactic.dsimpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L338-L355","name":"Lean.Elab.Tactic.dsimpLocation","line":338,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation","doc":""},"Lean.Elab.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L207-L211","name":"Lean.Elab.Tactic.done","line":207,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.done","doc":""},"Lean.Elab.Tactic.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Delta.lean#L21-L27","name":"Lean.Elab.Tactic.deltaTarget","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaTarget","doc":""},"Lean.Elab.Tactic.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Delta.lean#L13-L19","name":"Lean.Elab.Tactic.deltaLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaLocalDecl","doc":""},"Lean.Elab.Tactic.configElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Config.lean#L13-L27","name":"Lean.Elab.Tactic.configElab","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.configElab","doc":""},"Lean.Elab.Tactic.closeUsingOrAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L228-L240","name":"Lean.Elab.Tactic.closeUsingOrAdmit","line":228,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeUsingOrAdmit","doc":"Close the main goal using the given tactic. If it fails, log the error and `admit` "},"Lean.Elab.Tactic.closeMainGoalUsing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L55-L57","name":"Lean.Elab.Tactic.closeMainGoalUsing","line":55,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.closeMainGoalUsing","doc":"Try to close main goal using `x target`, where `target` is the type of the main goal. "},"Lean.Elab.Tactic.closeMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L346-L350","name":"Lean.Elab.Tactic.closeMainGoal","line":346,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeMainGoal","doc":"Close main goal using the given expression. If `checkUnassigned == true`, then `val` must not contain unassigned metavariables. "},"Lean.Elab.Tactic.checkConfigElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Config.lean#L31-L31","name":"Lean.Elab.Tactic.checkConfigElab","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.checkConfigElab","doc":""},"Lean.Elab.Tactic.appendGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L289-L290","name":"Lean.Elab.Tactic.appendGoals","line":289,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.appendGoals","doc":"Add the given goals at the end of the current goals collection. "},"Lean.Elab.Tactic.addCheckpoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/BuiltinTactic.lean#L71-L100","name":"Lean.Elab.Tactic.addCheckpoints","line":71,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.addCheckpoints","doc":"Takes a `sepByIndent tactic \"; \"`, and inserts `checkpoint` blocks for `save` tactics.\n\nInput:\n```\n a\n b\n save\n c\n d\n save\n e\n```\n\nOutput:\n```\n checkpoint\n a\n b\n save\n checkpoint\n c\n d\n save\n e\n```\n"},"Lean.Elab.Tactic.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L284-L286","name":"Lean.Elab.Tactic.adaptExpander","line":284,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.adaptExpander","doc":"Adapt a syntax transformation to a regular tactic evaluator. "},"Lean.Elab.Tactic.TacticM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L40-L40","name":"Lean.Elab.Tactic.TacticM","line":40,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.TacticM","doc":""},"Lean.Elab.Tactic.Tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L41-L41","name":"Lean.Elab.Tactic.Tactic","line":41,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Tactic","doc":""},"Lean.Elab.Tactic.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.mk","doc":""},"Lean.Elab.Tactic.State.goals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L119-L119","name":"Lean.Elab.Tactic.State.goals","line":119,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.goals","doc":""},"Lean.Elab.Tactic.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L118-L120","name":"Lean.Elab.Tactic.State","line":118,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State","doc":"State of the `TacticM` monad.\n"},"Lean.Elab.Tactic.Snapshot.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L131-L131","name":"Lean.Elab.Tactic.Snapshot.term","line":131,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.term","doc":""},"Lean.Elab.Tactic.Snapshot.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L132-L132","name":"Lean.Elab.Tactic.Snapshot.tactic","line":132,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.tactic","doc":""},"Lean.Elab.Tactic.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L133-L133","name":"Lean.Elab.Tactic.Snapshot.stx","line":133,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.stx","doc":""},"Lean.Elab.Tactic.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.mk","doc":""},"Lean.Elab.Tactic.Snapshot.meta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L130-L130","name":"Lean.Elab.Tactic.Snapshot.meta","line":130,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.meta","doc":""},"Lean.Elab.Tactic.Snapshot.core":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L129-L129","name":"Lean.Elab.Tactic.Snapshot.core","line":129,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.core","doc":""},"Lean.Elab.Tactic.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L128-L133","name":"Lean.Elab.Tactic.Snapshot","line":128,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot","doc":"Snapshots are used to implement the `save` tactic.\nThis tactic caches the state of the system, and allows us to \"replay\"\nexpensive proofs efficiently. This is only relevant implementing the\nLSP server.\n"},"Lean.Elab.Tactic.SimpKind.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L25-L25","name":"Lean.Elab.Tactic.SimpKind.simpAll","line":25,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simpAll","doc":""},"Lean.Elab.Tactic.SimpKind.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L24-L24","name":"Lean.Elab.Tactic.SimpKind.simp","line":24,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simp","doc":""},"Lean.Elab.Tactic.SimpKind.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L26-L26","name":"Lean.Elab.Tactic.SimpKind.dsimp","line":26,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.dsimp","doc":""},"Lean.Elab.Tactic.SimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L23-L27","name":"Lean.Elab.Tactic.SimpKind","line":23,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.with":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L65-L73","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.with","line":65,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.with","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L62-L62","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.default","line":62,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.default","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.custom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L63-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.custom","line":63,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.custom","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L61-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper","line":61,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper","doc":""},"Lean.Elab.Tactic.SavedState.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L37-L37","name":"Lean.Elab.Tactic.SavedState.term","line":37,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.term","doc":""},"Lean.Elab.Tactic.SavedState.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L38-L38","name":"Lean.Elab.Tactic.SavedState.tactic","line":38,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.tactic","doc":""},"Lean.Elab.Tactic.SavedState.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L98-L100","name":"Lean.Elab.Tactic.SavedState.restore","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.restore","doc":""},"Lean.Elab.Tactic.SavedState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.SavedState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.mk","doc":""},"Lean.Elab.Tactic.SavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L36-L38","name":"Lean.Elab.Tactic.SavedState","line":36,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L125-L125","name":"Lean.Elab.Tactic.ResolveSimpIdResult.none","line":125,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.none","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L127-L127","name":"Lean.Elab.Tactic.ResolveSimpIdResult.ext","line":127,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResul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"},"Lean.Elab.Tactic.Location.targets":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Location.lean#L15-L17","name":"Lean.Elab.Tactic.Location.targets","line":15,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location.targets","doc":"`hypotheses` are hypothesis names in the main goal that the tactic should be applied to.\nIf `type` is true, then the tactic should also be applied to the target type. "},"Lean.Elab.Tactic.Location":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Location.lean#L12-L17","name":"Lean.Elab.Tactic.Location","line":12,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location","doc":"Denotes a set of locations where a tactic should be applied for the main goal. See also `withLocation`. "},"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Congr.lean#L12-L18","name":"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Congr.html#Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L140-L140","name":"Lean.Elab.Tactic.EvalTacticFailure.state","line":140,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.state","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.EvalTacticFailure.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.mk","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.exception":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L139-L139","name":"Lean.Elab.Tactic.EvalTacticFailure.exception","line":139,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.exception","doc":""},"Lean.Elab.Tactic.EvalTacticFailure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L138-L140","name":"Lean.Elab.Tactic.EvalTacticFailure","line":138,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure","doc":"Auxiliary datastructure for capturing exceptions at `evalTactic`.\n"},"Lean.Elab.Tactic.ElimApp.setMotiveArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L186-L193","name":"Lean.Elab.Tactic.ElimApp.setMotiveArg","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.setMotiveArg","doc":"Given a goal `... targets ... |- C[targets]` associated with `mvarId`, assign\n`motiveArg := fun targets => C[targets]` "},"Lean.Elab.Tactic.ElimApp.reorderAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L251-L262","name":"Lean.Elab.Tactic.ElimApp.reorderAlts","line":251,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.reorderAlts","doc":"If `altsSyntax` is not empty we reorder `alts` using the order the alternatives have been provided\nin `altsSyntax`. Motivations:\n\n1- It improves the effectiveness of the `checkpoint` and `save` tactics. Consider the following example:\n```lean\nexample (h₁ : p ∨ q) (h₂ : p → x = 0) (h₃ : q → y = 0) : x * y = 0 := by\n cases h₁ with\n | inr h =>\n sleep 5000 -- sleeps for 5 seconds\n save\n have : y = 0 := h₃ h\n -- We can confortably work here\n | inl h => stop ...\n```\nIf we do reorder, the `inl` alternative will be executed first. Moreover, as we type in the `inr` alternative,\ntype errors will \"swallow\" the `inl` alternative and affect the tactic state at `save` making it ineffective.\n\n2- The errors are produced in the same order the appear in the code above. This is not super important when using IDEs.\n"},"Lean.Elab.Tactic.ElimApp.mkElimApp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L130-L168","name":"Lean.Elab.Tactic.ElimApp.mkElimApp.loop","line":130,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp.loop","doc":""},"Lean.Elab.Tactic.ElimApp.mkElimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L129-L182","name":"Lean.Elab.Tactic.ElimApp.mkElimApp","line":129,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp","doc":"Construct the an eliminator/recursor application. `targets` contains the explicit and implicit targets for\nthe eliminator. For example, the indices of builtin recursors are considered implicit targets.\nRemark: the method `addImplicitTargets` may be used to compute the sequence of implicit and explicit targets\nfrom the explicit ones.\n"},"Lean.Elab.Tactic.ElimApp.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L89-L89","name":"Lean.Elab.Tactic.ElimApp.instInhabitedAlt","line":89,"kind":"instance","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.instInhabitedAlt","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L278-L355","name":"Lean.Elab.Tactic.ElimApp.evalAlts.go","line":278,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.go","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L356-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","line":356,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L264-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts","line":264,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts","doc":""},"Lean.Elab.Tactic.ElimApp.State.targetPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L97-L97","name":"Lean.Elab.Tactic.ElimApp.State.targetPos","line":97,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.targetPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.mk","doc":""},"Lean.Elab.Tactic.ElimApp.State.insts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L101-L101","name":"Lean.Elab.Tactic.ElimApp.State.insts","line":101,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.insts","doc":""},"Lean.Elab.Tactic.ElimApp.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L99-L99","name":"Lean.Elab.Tactic.ElimApp.State.fType","line":99,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.fType","doc":""},"Lean.Elab.Tactic.ElimApp.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L98-L98","name":"Lean.Elab.Tactic.ElimApp.State.f","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.f","doc":""},"Lean.Elab.Tactic.ElimApp.State.argPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L96-L96","name":"Lean.Elab.Tactic.ElimApp.State.argPos","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.argPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L100-L100","name":"Lean.Elab.Tactic.ElimApp.State.alts","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.alts","doc":""},"Lean.Elab.Tactic.ElimApp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L95-L101","name":"Lean.Elab.Tactic.ElimApp.State","line":95,"kind":"structure","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State","doc":""},"Lean.Elab.Tactic.ElimApp.Result.others":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L121-L121","name":"Lean.Elab.Tactic.ElimApp.Result.others","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.others","doc":""},"Lean.Elab.Tactic.ElimApp.Result.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.Result.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.mk","doc":""},"Lean.Elab.Tactic.ElimApp.Result.elimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tac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nv/Basic.html#Lean.Elab.Tactic.Conv.evalSepByIndentConv","doc":"Evaluate `sepByIndent conv \"; \" "},"Lean.Elab.Tactic.Conv.evalRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L100-L102","name":"Lean.Elab.Tactic.Conv.evalRhs","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalRhs","doc":""},"Lean.Elab.Tactic.Conv.evalRewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Rewrite.lean#L13-L20","name":"Lean.Elab.Tactic.Conv.evalRewrite","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Rewrite.html#Lean.Elab.Tactic.Conv.evalRewrite","doc":""},"Lean.Elab.Tactic.Conv.evalReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L92-L94","name":"Lean.Elab.Tactic.Conv.evalReduce","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalReduce","doc":""},"Lean.Elab.Tactic.Conv.evalPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L104-L141","name":"Lean.Elab.Tactic.Conv.evalPattern","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.evalPattern","doc":""},"Lean.Elab.Tactic.Conv.evalParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L130-L131","name":"Lean.Elab.Tactic.Conv.evalParen","line":130,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalParen","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L146-L148","name":"Lean.Elab.Tactic.Conv.evalNestedTacticCore","line":146,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTacticCore","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L150-L156","name":"Lean.Elab.Tactic.Conv.evalNestedTactic","line":150,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTactic","doc":""},"Lean.Elab.Tactic.Conv.evalNestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L119-L120","name":"Lean.Elab.Tactic.Conv.evalNestedConv","line":119,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedConv","doc":""},"Lean.Elab.Tactic.Conv.evalLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L96-L98","name":"Lean.Elab.Tactic.Conv.evalLhs","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalLhs","doc":""},"Lean.Elab.Tactic.Conv.evalFirst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L186-L187","name":"Lean.Elab.Tactic.Conv.evalFirst","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalFirst","doc":""},"Lean.Elab.Tactic.Conv.evalExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L177-L183","name":"Lean.Elab.Tactic.Conv.evalExt","line":177,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalExt","doc":""},"Lean.Elab.Tactic.Conv.evalDelta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Delta.lean#L12-L15","name":"Lean.Elab.Tactic.Conv.evalDelta","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Delta.html#Lean.Elab.Tactic.Conv.evalDelta","doc":""},"Lean.Elab.Tactic.Conv.evalDSimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Simp.lean#L28-L30","name":"Lean.Elab.Tactic.Conv.evalDSimp","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.evalDSimp","doc":""},"Lean.Elab.Tactic.Conv.evalConvTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L158-L159","name":"Lean.Elab.Tactic.Conv.evalConvTactic","line":158,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvTactic","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L111-L117","name":"Lean.Elab.Tactic.Conv.evalConvSeqBracketed","line":111,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeqBracketed","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L108-L109","name":"Lean.Elab.Tactic.Conv.evalConvSeq1Indented","line":108,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq1Indented","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L122-L123","name":"Lean.Elab.Tactic.Conv.evalConvSeq","line":122,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConvConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L125-L128","name":"Lean.Elab.Tactic.Conv.evalConvConvSeq","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L173-L184","name":"Lean.Elab.Tactic.Conv.evalConv","line":173,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConv","doc":""},"Lean.Elab.Tactic.Conv.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L74-L75","name":"Lean.Elab.Tactic.Conv.evalCongr","line":74,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalCongr","doc":""},"Lean.Elab.Tactic.Conv.evalChange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Change.lean#L12-L22","name":"Lean.Elab.Tactic.Conv.evalChange","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Change.html#Lean.Elab.Tactic.Conv.evalChange","doc":""},"Lean.Elab.Tactic.Conv.evalArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L104-L113","name":"Lean.Elab.Tactic.Conv.evalArg","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalArg","doc":""},"Lean.Elab.Tactic.Conv.convert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L44-L58","name":"Lean.Elab.Tactic.Conv.convert","line":44,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.convert","doc":"Given `lhs`, runs the `conv` tactic with the goal `⊢ lhs = ?rhs`.\n`conv` should produce no remaining goals that are not solvable with refl.\nReturns a pair of instantiated expressions `(?rhs, ?p)` where `?p : lhs = ?rhs`. "},"Lean.Elab.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L25-L72","name":"Lean.Elab.Tactic.Conv.congr","line":25,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.congr","doc":""},"Lean.Elab.Tactic.Conv.changeLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L83-L86","name":"Lean.Elab.Tactic.Conv.changeLhs","line":83,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.changeLhs","doc":"Replace `lhs` with the definitionally equal `lhs'`. "},"Lean.Elab.Tactic.Conv.applySimpResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Simp.lean#L13-L17","name":"Lean.Elab.Tactic.Conv.applySimpResult","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.applySimpResult","doc":""},"Lean.Elab.Tactic.Conv.PatternMatchState.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L68-L70","name":"Lean.Elab.Tactic.Conv.PatternMatchState.skip","line":68,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.skip","doc":"Assuming `isReady` returned false, this advances to the next match. "},"Lean.Elab.Tactic.Conv.PatternMatchState.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L43-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState.occs","line":43,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.occs","doc":"The state corresponding to a partially consumed `(occs := a₁ a₂ ...)` pattern.\n* `subgoals` is the list of subgoals for patterns already matched,\n along with their index in the original occs list\n* `idx` is the number of matches that have occurred so far\n* `remaining` is a list of `(i, orig)` pairs representing matches we have not yet reached.\n We maintain the invariant that `idx :: remaining.map (·.1)` is sorted.\n The number `i` is the value in the `occs` list and `orig` is its index in the list.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.isReady":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L62-L65","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isReady","line":62,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isReady","doc":"Is this pattern interested in accepting the next match? "},"Lean.Elab.Tactic.Conv.PatternMatchState.isDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L57-L59","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isDone","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isDone","doc":"Is this pattern no longer interested in accepting matches? "},"Lean.Elab.Tactic.Conv.PatternMatchState.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L37-L42","name":"Lean.Elab.Tactic.Conv.PatternMatchState.all","line":37,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.all","doc":"The state corresponding to a `(occs := *)` pattern, which acts like `occs := 1 2 ... n` where\n`n` is the total number of pattern matches.\n* `subgoals` is the list of subgoals for patterns already matched\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.accept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L76-L79","name":"Lean.Elab.Tactic.Conv.PatternMatchState.accept","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.accept","doc":"Assuming `isReady` returned true, this adds the generated subgoal to the list\nand advances to the next match.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L36-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState","line":36,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState","doc":""},"Lean.Elab.Tactic.Context.recover":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L34-L34","name":"Lean.Elab.Tactic.Context.recover","line":34,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.recover","doc":"If `true`, enable \"error recovery\" in some tactics. For example, `cases` tactic\nadmits unsolved alternatives when `recover == true`. The combinator `withoutRecover ` disables\n\"error recovery\" while executing ``. This is useful for tactics such as `first | ... | ...`.\n"},"Lean.Elab.Tactic.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.mk","doc":""},"Lean.Elab.Tactic.Context.elaborator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L28-L28","name":"Lean.Elab.Tactic.Context.elaborator","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.elaborator","doc":"Declaration name of the executing elaborator, used by `mkTacticInfo` to persist it in the info tree "},"Lean.Elab.Tactic.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L26-L34","name":"Lean.Elab.Tactic.Context","line":26,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context","doc":""},"Lean.Elab.Tactic.CacheKey.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L140-L140","name":"Lean.Elab.Tactic.CacheKey.pos","line":140,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.pos","doc":""},"Lean.Elab.Tactic.CacheKey.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L139-L139","name":"Lean.Elab.Tactic.CacheKey.mvarId","line":139,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mvarId","doc":""},"Lean.Elab.Tactic.CacheKey.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.CacheKey.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mk","doc":""},"Lean.Elab.Tactic.CacheKey":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L138-L141","name":"Lean.Elab.Tactic.CacheKey","line":138,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey","doc":"Key for the cache used to implement the `save` tactic.\n"},"Lean.Elab.Tactic.Cache.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L147-L147","name":"Lean.Elab.Tactic.Cache.pre","line":147,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.pre","doc":""},"Lean.Elab.Tactic.Cache.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L148-L148","name":"Lean.Elab.Tactic.Cache.post","line":148,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.post","doc":""},"Lean.Elab.Tactic.Cache.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Cache.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.mk","doc":""},"Lean.Elab.Tactic.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L146-L149","name":"Lean.Elab.Tactic.Cache","line":146,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache","doc":"Cache for the `save` tactic.\n"},"Lean.Elab.Structural.structuralRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Main.lean#L80-L100","name":"Lean.Elab.Structural.structuralRecursion","line":80,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Main.html#Lean.Elab.Structural.structuralRecursion","doc":""},"Lean.Elab.Structural.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L49-L50","name":"Lean.Elab.Structural.run","line":49,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.run","doc":""},"Lean.Elab.Structural.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L82-L83","name":"Lean.Elab.Structural.registerEqnsInfo","line":82,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.registerEqnsInfo","doc":""},"Lean.Elab.Structural.refinedArgType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L90-L98","name":"Lean.Elab.Structural.refinedArgType","line":90,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.refinedArgType","doc":"This method is used after `matcherApp.addArg arg` to check whether the new type of `arg` has been \"refined/modified\"\nin at least one alternative.\n"},"Lean.Elab.Structural.recArgHasLooseBVarsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L61-L64","name":"Lean.Elab.Structural.recArgHasLooseBVarsAt","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.recArgHasLooseBVarsAt","doc":"Return true iff `e` contains an application `recFnName .. t ..` where the term `t` is\nthe argument we are trying to recurse on, and it contains loose bound variables.\n\nWe use this test to decide whether we should process a matcher-application as a regular\napplicaton or not. That is, whether we should push the `below` argument should be affected by the matcher or not.\nIf `e` does not contain an application of the form `recFnName .. t ..`, then we know\nthe recursion doesn't depend on any pattern variable in this matcher.\n"},"Lean.Elab.Structural.preprocess":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Preprocess.lean#L27-L33","name":"Lean.Elab.Structural.preprocess","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Preprocess.html#Lean.Elab.Structural.preprocess","doc":"Beta reduce terms where the recursive function occurs in the lambda term.\nThis is useful to improve the effectiveness of `elimRecursion`.\nExample:\n```\ndef f : Nat → Nat\n | 0 => 1\n | i+1 => (fun x => f x) i\n```\n"},"Lean.Elab.Structural.mkIndPredBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/IndPred.lean#L64-L97","name":"Lean.Elab.Structural.mkIndPredBRecOn","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/IndPred.html#Lean.Elab.Structural.mkIndPredBRecOn","doc":""},"Lean.Elab.Structural.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L58-L78","name":"Lean.Elab.Structural.mkEqns","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.mkEqns","doc":""},"Lean.Elab.Structural.mkBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L199-L239","name":"Lean.Elab.Structural.mkBRecOn","line":199,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.mkBRecOn","doc":""},"Lean.Elab.Structural.instInhabitedM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L46-L47","name":"Lean.Elab.Structural.instInhabitedM","line":46,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.instInhabitedM","doc":""},"Lean.Elab.Structural.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L22-L22","name":"Lean.Elab.Structural.instInhabitedEqnInfo","line":22,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.instInhabitedEqnInfo","doc":""},"Lean.Elab.Structural.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L91-L93","name":"Lean.Elab.Structural.getUnfoldFor?","line":91,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getUnfoldFor?","doc":""},"Lean.Elab.Structural.getStructuralRecArgPosImp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L96-L98","name":"Lean.Elab.Structural.getStructuralRecArgPosImp?","line":96,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getStructuralRecArgPosImp?","doc":""},"Lean.Elab.Structural.getEqnsFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L85-L89","name":"Lean.Elab.Structural.getEqnsFor?","line":85,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getEqnsFor?","doc":""},"Lean.Elab.Structural.findRecArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L74-L137","name":"Lean.Elab.Structural.findRecArg.go","line":74,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg.go","doc":""},"Lean.Elab.Structural.findRecArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L58-L139","name":"Lean.Elab.Structural.findRecArg","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg","doc":"Try to find an argument that is structurally smaller in every recursive application.\nWe use this argument to justify termination using the auxiliary `brecOn` construction.\n\nWe give preference for arguments that are *not* indices of inductive types of other arguments.\nSee issue #837 for an example where we can show termination using the index of an inductive family, but\nwe don't get the desired definitional equalities.\n\nWe perform two passes. In the first-pass, we only consider arguments that are not indices.\nIn the second pass, we consider them.\n\nTODO: explore whether there are better solutions, and whether there are other ways to break the heuristic used\nfor creating the smart unfolding auxiliary definition.\n"},"Lean.Elab.Structural.eqnInfoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L80-L80","name":"Lean.Elab.Structural.eqnInfoExt","line":80,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.eqnInfoExt","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L29-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","doc":"Auxiliary method for annotating `match`-alternatives with `markSmartUnfoldingMatch` and `markSmartUnfoldingMatchAlt`.\n\nIt uses the following approach:\n- Whenever it finds a `match` application `e` s.t. `recArgHasLooseBVarsAt preDef.declName recArgPos e`,\n it marks the `match` with `markSmartUnfoldingMatch`, and each alternative that does not contain a nested marked `match`\n is marked with `markSmartUnfoldingMatchAlt`.\n\nRecall that the condition `recArgHasLooseBVarsAt preDef.declName recArgPos e` is the one used at `mkBRecOn`.\n"},"Lean.Elab.Structural.addSmartUnfoldingDefAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L12-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux","line":12,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L64-L70","name":"Lean.Elab.Structural.addSmartUnfoldingDef","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDef","doc":""},"Lean.Elab.Structural.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.mk","doc":""},"Lean.Elab.Structural.State.addMatchers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L42-L42","name":"Lean.Elab.Structural.State.addMatchers","line":42,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.addMatchers","doc":"As part of the inductive predicates case, we keep adding more and more discriminants from the\nlocal context and build up a bigger matcher application until we reach a fixed point.\nAs a side-effect, this creates matchers. Here we capture all these side-effects, because\nthe construction rolls back any changes done to the environment and the side-effects\nneed to be replayed. "},"Lean.Elab.Structural.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L36-L42","name":"Lean.Elab.Structural.State","line":36,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State","doc":""},"Lean.Elab.Structural.RecArgInfo.ys":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L15-L15","name":"Lean.Elab.Structural.RecArgInfo.ys","line":15,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.ys","doc":"recursion arguments "},"Lean.Elab.Structural.RecArgInfo.reflexive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L29-L29","name":"Lean.Elab.Structural.RecArgInfo.reflexive","line":29,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.reflexive","doc":"true if we are recursing over a reflexive inductive datatype "},"Lean.Elab.Structural.RecArgInfo.recArgPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L33-L34","name":"Lean.Elab.Structural.RecArgInfo.recArgPos","line":33,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.recArgPos","doc":""},"Lean.Elab.Structural.RecArgInfo.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L17-L17","name":"Lean.Elab.Structural.RecArgInfo.pos","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.pos","doc":"position in `ys` of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.RecArgInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.mk","doc":""},"Lean.Elab.Structural.RecArgInfo.indicesPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L19-L19","name":"Lean.Elab.Structural.RecArgInfo.indicesPos","line":19,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indicesPos","doc":"position in `ys` of the inductive datatype indices we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L31-L31","name":"Lean.Elab.Structural.RecArgInfo.indPred","line":31,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indPred","doc":"true if the type is an inductive predicate "},"Lean.Elab.Structural.RecArgInfo.indParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L25-L25","name":"Lean.Elab.Structural.RecArgInfo.indParams","line":25,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indParams","doc":"inductive datatype parameters of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L21-L21","name":"Lean.Elab.Structural.RecArgInfo.indName","line":21,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indName","doc":"inductive datatype name of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L23-L23","name":"Lean.Elab.Structural.RecArgInfo.indLevels","line":23,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indLevels","doc":"inductive datatype universe levels of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L27-L27","name":"Lean.Elab.Structural.RecArgInfo.indIndices","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indIndices","doc":"inductive datatype indices of the argument we are recursing on, it is equal to `indicesPos.map fun i => ys.get! i` "},"Lean.Elab.Structural.RecArgInfo.fixedParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L13-L13","name":"Lean.Elab.Structural.RecArgInfo.fixedParams","line":13,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.fixedParams","doc":"`fixedParams ++ ys` are the arguments of the function we are trying to justify termination using structural recursion. 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It should not be used in user widgets.\n"},"Lean.Elab.InfoTree.visitM.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L44-L51","name":"Lean.Elab.InfoTree.visitM.go","line":44,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM.go","doc":""},"Lean.Elab.InfoTree.visitM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L54-L57","name":"Lean.Elab.InfoTree.visitM'","line":54,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM'","doc":"`InfoTree.visitM` specialized to `Unit` return type "},"Lean.Elab.InfoTree.visitM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L39-L51","name":"Lean.Elab.InfoTree.visitM","line":39,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM","doc":"Visit nodes, passing in a surrounding context (the innermost one) and accumulating results on the way back up. "},"Lean.Elab.InfoTree.termGoalAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L363-L365","name":"Lean.Elab.InfoTree.termGoalAt?","line":363,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.termGoalAt?","doc":""},"Lean.Elab.InfoTree.substitute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L56-L62","name":"Lean.Elab.InfoTree.substitute","line":56,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.substitute","doc":"Instantiate the holes on the given `tree` with the assignment table.\n(analoguous to instantiating the metavariables in an expression) "},"Lean.Elab.InfoTree.smallestInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L155-L162","name":"Lean.Elab.InfoTree.smallestInfo?","line":155,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.smallestInfo?","doc":""},"Lean.Elab.InfoTree.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L172-L173","name":"Lean.Elab.InfoTree.node","line":172,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.node","doc":"The children contain information for nested term elaboration and tactic evaluation "},"Lean.Elab.InfoTree.hoverableInfoAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L165-L208","name":"Lean.Elab.InfoTree.hoverableInfoAt?","line":165,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hoverableInfoAt?","doc":"Find an info node, if any, which should be shown on hover/cursor at position `hoverPos`. "},"Lean.Elab.InfoTree.hole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L174-L175","name":"Lean.Elab.InfoTree.hole","line":174,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.hole","doc":"The elaborator creates holes (aka metavariables) for tactics and postponed terms "},"Lean.Elab.InfoTree.hasSorry.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L369-L379","name":"Lean.Elab.InfoTree.hasSorry.go","line":369,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry.go","doc":""},"Lean.Elab.InfoTree.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L367-L379","name":"Lean.Elab.InfoTree.hasSorry","line":367,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry","doc":""},"Lean.Elab.InfoTree.goalsAt?.isEmptyBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L358-L360","name":"Lean.Elab.InfoTree.goalsAt?.isEmptyBy","line":358,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.isEmptyBy","doc":""},"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L345-L357","name":"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","line":345,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","doc":""},"Lean.Elab.InfoTree.goalsAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L319-L360","name":"Lean.Elab.InfoTree.goalsAt?","line":319,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?","doc":"Try to retrieve `TacticInfo` for `hoverPos`.\nWe retrieve all `TacticInfo` nodes s.t. `hoverPos` is inside the node's range plus trailing whitespace.\nWe usually prefer the innermost such nodes so that for composite tactics such as `induction`, we show the nested proofs' states.\nHowever, if `hoverPos` is after the tactic, we prefer nodes that are not indented relative to it, meaning that e.g. at `|` in\n```lean\nhave := by\n exact foo\n|\n```\nwe show the (final, see below) state of `have`, not `exact`.\n\nMoreover, we instruct the LSP server to use the state after tactic execution if\n- the hover position is after the info's start position *and*\n- there is no nested tactic info after the hover position (tactic combinators should decide for themselves\n where to show intermediate states by calling `withTacticInfoContext`) "},"Lean.Elab.InfoTree.getCompletionInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L96-L100","name":"Lean.Elab.InfoTree.getCompletionInfos","line":96,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.getCompletionInfos","doc":""},"Lean.Elab.InfoTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L197-L209","name":"Lean.Elab.InfoTree.format","line":197,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.format","doc":""},"Lean.Elab.InfoTree.foldInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L79-L86","name":"Lean.Elab.InfoTree.foldInfo.go","line":79,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo.go","doc":""},"Lean.Elab.InfoTree.foldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L77-L86","name":"Lean.Elab.InfoTree.foldInfo","line":77,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo","doc":""},"Lean.Elab.InfoTree.findInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L44-L52","name":"Lean.Elab.InfoTree.findInfo?","line":44,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.findInfo?","doc":""},"Lean.Elab.InfoTree.deepestNodes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L68-L75","name":"Lean.Elab.InfoTree.deepestNodes","line":68,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.deepestNodes","doc":"For every branch of the `InfoTree`, find the deepest node in that branch for which `p` returns\n`some _` and return the union of all such nodes. The visitor `p` is given a node together with\nits innermost surrounding `ContextInfo`. "},"Lean.Elab.InfoTree.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L170-L171","name":"Lean.Elab.InfoTree.context","line":170,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.context","doc":"The context object is created by `liftTermElabM` at `Command.lean` "},"Lean.Elab.InfoTree.collectNodesBottomUp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L61-L62","name":"Lean.Elab.InfoTree.collectNodesBottomUp","line":61,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.collectNodesBottomUp","doc":"Visit nodes bottom-up, passing in a surrounding context (the innermost one) and the union of nested results (empty at leaves). "},"Lean.Elab.InfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L169-L176","name":"Lean.Elab.InfoTree","line":169,"kind":"inductive","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree","doc":"The InfoTree is a structure that is generated during elaboration and used\nby the language server to look up information about objects at particular points\nin the Lean document. For example, tactic information and expected type information in\nthe infoview and information about completions.\n\nThe infotree consists of nodes which may have child nodes. Each node\nhas an `Info` object that contains details about what kind of information\nis present. Each `Info` object also contains a `Syntax` instance, this is used to\nmap positions in the Lean document to particular info objects.\n\nAn example of a function that extracts information from an infotree for a given\nposition is `InfoTree.goalsAt?` which finds `TacticInfo`.\n\nInformation concerning expressions requires that a context also be saved.\n`context` nodes store a local context that is used to process expressions\nin nodes below.\n\nBecause the info tree is generated during elaboration, some parts of the infotree\nfor a particular piece of syntax may not be ready yet. Hence InfoTree supports metavariable-like\n`hole`s which are filled in later in the same way that unassigned metavariables are.\n"},"Lean.Elab.InfoState.trees":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L194-L194","name":"Lean.Elab.InfoState.trees","line":194,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.trees","doc":"Pending child trees of a node. "},"Lean.Elab.InfoState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.InfoState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.mk","doc":""},"Lean.Elab.InfoState.enabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L190-L190","name":"Lean.Elab.InfoState.enabled","line":190,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.enabled","doc":"Whether info trees should be recorded. "},"Lean.Elab.InfoState.assignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L192-L192","name":"Lean.Elab.InfoState.assignment","line":192,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.assignment","doc":"Map from holes in the infotree to child infotrees. "},"Lean.Elab.InfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L188-L195","name":"Lean.Elab.InfoState","line":188,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState","doc":"This structure is the state that is being used to build an InfoTree object.\nDuring elaboration, some parts of the info tree may be `holes` which need to be filled later.\nThe `assignments` field is used to assign these holes.\nThe `trees` field is a list of pending child trees for the infotree node currently being built.\n\nYou should not need to use `InfoState` directly, instead infotrees should be built with the help of the methods here\nsuch as `pushInfoLeaf` to create leaf nodes and `withInfoContext` to create a nested child node.\n\nTo see how `trees` is used, look at the function body of `withInfoContext'`.\n"},"Lean.Elab.Info.updateContext?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L193-L195","name":"Lean.Elab.Info.updateContext?","line":193,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.updateContext?","doc":"Helper function for propagating the tactic metavariable context to its children nodes.\nWe need this function because we preserve `TacticInfo` nodes during backtracking *and* their\nchildren. Moreover, we backtrack the metavariable context to undo metavariable assignments.\n`TacticInfo` nodes save the metavariable context before/after the tactic application, and\ncan be pretty printed without any extra information. This is not the case for `TermInfo` nodes.\nWithout this function, the formatting method would often fail when processing `TermInfo` nodes\nthat are children of `TacticInfo` nodes that have been preserved during backtracking.\nSaving the metavariable context at `TermInfo` nodes is also not a good option because\nat `TermInfo` creation time, the metavariable context often miss information, e.g.,\na TC problem has not been resolved, a postponed subterm has not been elaborated, etc.\n\nSee `Term.SavedState.restore`.\n"},"Lean.Elab.Info.type?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L210-L214","name":"Lean.Elab.Info.type?","line":210,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.type?","doc":""},"Lean.Elab.Info.toElabInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L166-L177","name":"Lean.Elab.Info.toElabInfo?","line":166,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.toElabInfo?","doc":""},"Lean.Elab.Info.tailPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L123-L124","name":"Lean.Elab.Info.tailPos?","line":123,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.tailPos?","doc":""},"Lean.Elab.Info.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L102-L113","name":"Lean.Elab.Info.stx","line":102,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.stx","doc":""},"Lean.Elab.Info.size?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L132-L135","name":"Lean.Elab.Info.size?","line":132,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.size?","doc":""},"Lean.Elab.Info.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L126-L127","name":"Lean.Elab.Info.range?","line":126,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.range?","doc":""},"Lean.Elab.Info.pos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L120-L121","name":"Lean.Elab.Info.pos?","line":120,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.pos?","doc":""},"Lean.Elab.Info.ofUserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L142-L142","name":"Lean.Elab.Info.ofUserWidgetInfo","line":142,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofUserWidgetInfo","doc":""},"Lean.Elab.Info.ofTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L136-L136","name":"Lean.Elab.Info.ofTermInfo","line":136,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTermInfo","doc":""},"Lean.Elab.Info.ofTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L135-L135","name":"Lean.Elab.Info.ofTacticInfo","line":135,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTacticInfo","doc":""},"Lean.Elab.Info.ofOptionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L139-L139","name":"Lean.Elab.Info.ofOptionInfo","line":139,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofOptionInfo","doc":""},"Lean.Elab.Info.ofMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L138-L138","name":"Lean.Elab.Info.ofMacroExpansionInfo","line":138,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofMacroExpansionInfo","doc":""},"Lean.Elab.Info.ofFieldRedeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L145-L145","name":"Lean.Elab.Info.ofFieldRedeclInfo","line":145,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldRedeclInfo","doc":""},"Lean.Elab.Info.ofFieldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L140-L140","name":"Lean.Elab.Info.ofFieldInfo","line":140,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldInfo","doc":""},"Lean.Elab.Info.ofFVarAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L144-L144","name":"Lean.Elab.Info.ofFVarAliasInfo","line":144,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFVarAliasInfo","doc":""},"Lean.Elab.Info.ofCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L143-L143","name":"Lean.Elab.Info.ofCustomInfo","line":143,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofCustomInfo","doc":""},"Lean.Elab.Info.ofCompletionInfo"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"},"Lean.Elab.Eqns.tryContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L305-L306","name":"Lean.Elab.Eqns.tryContradiction","line":305,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.tryContradiction","doc":""},"Lean.Elab.Eqns.splitMatch?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L83-L91","name":"Lean.Elab.Eqns.splitMatch?.go","line":83,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.splitMatch?.go","doc":""},"Lean.Elab.Eqns.splitMatch?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L81-L92","name":"Lean.Elab.Eqns.splitMatch?","line":81,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.splitMatch?","doc":""},"Lean.Elab.Eqns.simpMatch?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L44-L46","name":"Lean.Elab.Eqns.simpMatch?","line":44,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpMatch?","doc":""},"Lean.Elab.Eqns.simpIf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L48-L50","name":"Lean.Elab.Eqns.simpIf?","line":48,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpIf?","doc":""},"Lean.Elab.Eqns.simpEqnType.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L140-L149","name":"Lean.Elab.Eqns.simpEqnType.collect","line":140,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpEqnType.collect","doc":""},"Lean.Elab.Eqns.simpEqnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L112-L149","name":"Lean.Elab.Eqns.simpEqnType","line":112,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpEqnType","doc":"Eliminate `namedPatterns` from equation, and trivial hypotheses.\n"},"Lean.Elab.Eqns.removeUnusedEqnHypotheses.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L254-L273","name":"Lean.Elab.Eqns.removeUnusedEqnHypotheses.go","line":254,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.removeUnusedEqnHypotheses.go","doc":""},"Lean.Elab.Eqns.removeUnusedEqnHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L251-L273","name":"Lean.Elab.Eqns.removeUnusedEqnHypotheses","line":251,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.removeUnusedEqnHypotheses","doc":"Some of the hypotheses added by `mkEqnTypes` may not be used by the actual proof (i.e., `value` argument).\nThis method eliminates them.\n\nAlternative solution: improve `saveEqn` and make sure it never includes unnecessary hypotheses.\nThese hypotheses are leftovers from tactics such as `splitMatch?` used in `mkEqnTypes`.\n"},"Lean.Elab.Eqns.mkUnfoldProof.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L339-L356","name":"Lean.Elab.Eqns.mkUnfoldProof.go","line":339,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.mkUnfoldProof.go","doc":""},"Lean.Elab.Eqns.mkUnfoldProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L326-L357","name":"Lean.Elab.Eqns.mkUnfoldProof","line":326,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.mkUnfoldProof","doc":"Auxiliary method for `mkUnfoldEq`. The structure is based on `mkEqnTypes`.\n`mvarId` is the goal to be proved. It is a goal of the form\n```\ndeclName x_1 ... x_n = body[x_1, ..., x_n]\n```\nThe proof is constracted using the automatically generated equational theorems.\nWe basically keep splitting the `match` and `if-then-else` expressions in the right hand side\nuntil one of the equational theorems is applicable.\n"},"Lean.Elab.Eqns.mkUnfoldEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L360-L376","name":"Lean.Elab.Eqns.mkUnfoldEq","line":360,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.mkUnfoldEq","doc":"Generate the \"unfold\" lemma for `declName`. 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piece of syntax that the elaborator created this info for.\nNote that this also implicitly stores the code position in the syntax's SourceInfo. 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"},"Lean.Elab.Command.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L438-L455","name":"Lean.Elab.Command.runTermElabM","line":438,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runTermElabM","doc":"Execute the monadic action `elabFn xs` as a `CommandElabM` monadic action, where `xs` are free variables\ncorresponding to all active scoped variables declared using the `variable` command.\n\nThis method is similar to `liftTermElabM`, but it elaborates all scoped variables declared using the `variable`\ncommand.\n\nExample:\n```\nimport Lean\n\nopen Lean Elab Command Meta\n\nvariable {α : Type u} {f : α → α}\nvariable (n : Nat)\n\n#eval\n runTermElabM fun xs => do\n for x in xs do\n IO.println s!\"{← ppExpr x} : {← ppExpr (← inferType x)}\"\n```\n"},"Lean.Elab.Command.runLinters":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L201-L214","name":"Lean.Elab.Command.runLinters","line":201,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runLinters","doc":""},"Lean.Elab.Command.resolveSyntaxKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L348-L351","name":"Lean.Elab.Command.resolveSyntaxKind","line":348,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.resolveSyntaxKind","doc":""},"Lean.Elab.Command.removeParenthesesAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L55-L60","name":"Lean.Elab.Command.removeParenthesesAux","line":55,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParenthesesAux","doc":""},"Lean.Elab.Command.removeParentheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L62-L68","name":"Lean.Elab.Command.removeParentheses","line":62,"kind":"opaque","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParentheses","doc":""},"Lean.Elab.Command.modifyScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L466-L471","name":"Lean.Elab.Command.modifyScope","line":466,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.modifyScope","doc":""},"Lean.Elab.Command.mkUnexpander.flattenApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L120-L124","name":"Lean.Elab.Command.mkUnexpander.flattenApp","line":120,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander.flattenApp","doc":""},"Lean.Elab.Command.mkUnexpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L86-L124","name":"Lean.Elab.Command.mkUnexpander","line":86,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander","doc":"Try to derive an unexpander from a notation.\nThe notation must be of the form `notation ... => c body`\nwhere `c` is a declaration in the current scope and `body` any syntax\nthat contains each variable from the LHS at most once. "},"Lean.Elab.Command.mkState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L63-L68","name":"Lean.Elab.Command.mkState","line":63,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkState","doc":""},"Lean.Elab.Command.mkResultUniverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Inductive.lean#L422-L430","name":"Lean.Elab.Command.mkResultUniverse","line":422,"kind":"def","docLink":"./Lean/Elab/Inductive.html#Lean.Elab.Command.mkResultUniverse","doc":""},"Lean.Elab.Command.mkNameFromParserSyntax.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L310-L322","name":"Lean.Elab.Command.mkNameFromParserSyntax.visit","line":310,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.mkNameFromParserSyntax.visit","doc":""},"Lean.Elab.Command.mkNameFromParserSyntax.appendCatName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L324-L327","name":"Lean.Elab.Command.mkNameFromParserSyntax.appendCatName","line":324,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.mkNameFromParserSyntax.appendCatName","doc":""},"Lean.Elab.Command.mkNameFromParserSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L307-L327","name":"Lean.Elab.Command.mkNameFromParserSyntax","line":307,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.mkNameFromParserSyntax","doc":"Auxiliary function for creating declaration names from parser descriptions.\nExample:\nGiven\n```\nsyntax term \"+\" term : term\nsyntax \"[\" sepBy(term, \", \") \"]\" : term\n```\nIt generates the names `term_+_` and `term[_,]`\n"},"Lean.Elab.Command.mkMessageAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L113-L116","name":"Lean.Elab.Command.mkMessageAux","line":113,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkMessageAux","doc":""},"Lean.Elab.Command.mkInstanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L77-L101","name":"Lean.Elab.Command.mkInstanceName","line":77,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkInstanceName","doc":"Generate a name for an instance with the given type.\nNote that we elaborate the type twice. Once for producing the name, and another when elaborating the declaration. "},"Lean.Elab.Command.mkFreshInstanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L68-L72","name":"Lean.Elab.Command.mkFreshInstanceName","line":68,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkFreshInstanceName","doc":""},"Lean.Elab.Command.mkDefViewOfTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L62-L66","name":"Lean.Elab.Command.mkDefViewOfTheorem","line":62,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfTheorem","doc":""},"Lean.Elab.Command.mkDefViewOfOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L120-L131","name":"Lean.Elab.Command.mkDefViewOfOpaque","line":120,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfOpaque","doc":""},"Lean.Elab.Command.mkDefViewOfInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L103-L118","name":"Lean.Elab.Command.mkDefViewOfInstance","line":103,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfInstance","doc":""},"Lean.Elab.Command.mkDefViewOfExample":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L133-L139","name":"Lean.Elab.Command.mkDefViewOfExample","line":133,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfExample","doc":""},"Lean.Elab.Command.mkDefViewOfDef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L55-L60","name":"Lean.Elab.Command.mkDefViewOfDef","line":55,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfDef","doc":""},"Lean.Elab.Command.mkDefViewOfAbbrev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L47-L53","name":"Lean.Elab.Command.mkDefViewOfAbbrev","line":47,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfAbbrev","doc":""},"Lean.Elab.Command.mkDefView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L150-L165","name":"Lean.Elab.Command.mkDefView","line":150,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefView","doc":""},"Lean.Elab.Command.mkCommandElabAttributeUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L228-L229","name":"Lean.Elab.Command.mkCommandElabAttributeUnsafe","line":228,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkCommandElabAttributeUnsafe","doc":""},"Lean.Elab.Command.mkCommandElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L232-L232","name":"Lean.Elab.Command.mkCommandElabAttribute","line":232,"kind":"opaque","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkCommandElabAttribute","doc":""},"Lean.Elab.Command.lintersRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L72-L72","name":"Lean.Elab.Command.lintersRef","line":72,"kind":"opaque","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.lintersRef","doc":""},"Lean.Elab.Command.liftTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L391-L414","name":"Lean.Elab.Command.liftTermElabM","line":391,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftTermElabM","doc":"Lift the `TermElabM` monadic action `x` into a `CommandElabM` monadic action.\n\nNote that `x` is executed with an empty message log. Thus, `x` cannot modify/view messages produced by\nprevious commands.\n\nIf you need to access the free variables corresponding to the ones declared using the `variable` command,\nconsider using `runTermElabM`.\n\nRecall that `TermElabM` actions can automatically lift `MetaM` and `CoreM` actions.\nExample:\n```\nimport Lean\n\nopen Lean Elab Command Meta\n\ndef printExpr (e : Expr) : MetaM Unit := do\n IO.println s!\"{← ppExpr e} : {← ppExpr (← inferType e)}\"\n\n#eval\n liftTermElabM do\n printExpr (mkConst ``Nat)\n```\n"},"Lean.Elab.Command.liftIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L177-L179","name":"Lean.Elab.Command.liftIO","line":177,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftIO","doc":""},"Lean.Elab.Command.liftEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L175-L175","name":"Lean.Elab.Command.liftEIO","line":175,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftEIO","doc":""},"Lean.Elab.Command.liftCoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L152-L169","name":"Lean.Elab.Command.liftCoreM","line":152,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftCoreM","doc":""},"Lean.Elab.Command.isLocalAttrKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L353-L356","name":"Lean.Elab.Command.isLocalAttrKind","line":353,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.isLocalAttrKind","doc":""},"Lean.Elab.Command.isDefLike":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L141-L148","name":"Lean.Elab.Command.isDefLike","line":141,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.isDefLike","doc":""},"Lean.Elab.Command.instReprStructFieldKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Structure.lean#L64-L64","name":"Lean.Elab.Command.instReprStructFieldKind","line":64,"kind":"instance","docLink":"./Lean/Elab/Structure.html#Lean.Elab.Command.instReprStructFieldKind","doc":""},"Lean.Elab.Command.instReprStructFieldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Structure.lean#L72-L72","name":"Lean.Elab.Command.instReprStructFieldInfo","line":72,"kind":"instance","docLink":"./Lean/Elab/Structure.html#Lean.Elab.Command.instReprStructFieldInfo","doc":""},"Lean.Elab.Command.instNonemptyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L35-L35","name":"Lean.Elab.Command.instNonemptyState","line":35,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instNonemptyState","doc":""},"Lean.Elab.Command.instMonadTraceCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L101-L103","name":"Lean.Elab.Command.instMonadTraceCommandElabM","line":101,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadTraceCommandElabM","doc":""},"Lean.Elab.Command.instMonadResolveNameCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L186-L188","name":"Lean.Elab.Command.instMonadResolveNameCommandElabM","line":186,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadResolveNameCommandElabM","doc":""},"Lean.Elab.Command.instMonadRefCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L97-L99","name":"Lean.Elab.Command.instMonadRefCommandElabM","line":97,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadRefCommandElabM","doc":""},"Lean.Elab.Command.instMonadRecDepthCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L263-L266","name":"Lean.Elab.Command.instMonadRecDepthCommandElabM","line":263,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadRecDepthCommandElabM","doc":""},"Lean.Elab.Command.instMonadQuotationCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L223-L226","name":"Lean.Elab.Command.instMonadQuotationCommandElabM","line":223,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadQuotationCommandElabM","doc":""},"Lean.Elab.Command.instMonadOptionsCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L88-L89","name":"Lean.Elab.Command.instMonadOptionsCommandElabM","line":88,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadOptionsCommandElabM","doc":""},"Lean.Elab.Command.instMonadMacroAdapterCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L258-L261","name":"Lean.Elab.Command.instMonadMacroAdapterCommandElabM","line":258,"kind":"instance"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id.\n"},"Lean.Compiler.LCNF.replaceFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L470-L471","name":"Lean.Compiler.LCNF.replaceFVars","line":470,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceFVars","doc":""},"Lean.Compiler.LCNF.replaceExprFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L467-L468","name":"Lean.Compiler.LCNF.replaceExprFVars","line":467,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceExprFVars","doc":""},"Lean.Compiler.LCNF.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L73-L74","name":"Lean.Compiler.LCNF.reduceJpArity","line":73,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.reduceJpArity","doc":""},"Lean.Compiler.LCNF.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L180-L184","name":"Lean.Compiler.LCNF.reduceArity","line":180,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.reduceArity","doc":""},"Lean.Compiler.LCNF.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L111-L112","name":"Lean.Compiler.LCNF.pullInstances","line":111,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.pullInstances","doc":""},"Lean.Compiler.LCNF.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L178-L179","name":"Lean.Compiler.LCNF.pullFunDecls","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.pullFunDecls","doc":""},"Lean.Compiler.LCNF.ppLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L118-L119","name":"Lean.Compiler.LCNF.ppLetValue","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppLetValue","doc":""},"Lean.Compiler.LCNF.ppFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L125-L127","name":"Lean.Compiler.LCNF.ppFunDecl","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppFunDecl","doc":""},"Lean.Compiler.LCNF.ppDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L145-L147","name":"Lean.Compiler.LCNF.ppDecl'","line":145,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl'","doc":"Similar to `ppDecl`, but in `CoreM`, and it does not assume\n`decl` has already been internalized.\nThis function is used for debugging purposes.\n"},"Lean.Compiler.LCNF.ppDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L121-L123","name":"Lean.Compiler.LCNF.ppDecl","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl","doc":""},"Lean.Compiler.LCNF.ppCode'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L153-L155","name":"Lean.Compiler.LCNF.ppCode'","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode'","doc":"Similar to `ppCode`, but in `CoreM`, and it does not assume\n`code` has already been internalized.\n"},"Lean.Compiler.LCNF.ppCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L115-L116","name":"Lean.Compiler.LCNF.ppCode","line":115,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode","doc":""},"Lean.Compiler.LCNF.passManagerExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Passes.lean#L90-L96","name":"Lean.Compiler.LCNF.passManagerExt","line":90,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Passes.html#Lean.Compiler.LCNF.passManagerExt","doc":""},"Lean.Compiler.LCNF.normalizeFVarIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L122-L128","name":"Lean.Compiler.LCNF.normalizeFVarIds","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.normalizeFVarIds","doc":""},"Lean.Compiler.LCNF.normParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L416-L417","name":"Lean.Compiler.LCNF.normParams","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParams","doc":""},"Lean.Compiler.LCNF.normParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L413-L414","name":"Lean.Compiler.LCNF.normParam","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParam","doc":""},"Lean.Compiler.LCNF.normLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Level.lean#L83-L85","name":"Lean.Compiler.LCNF.normLevelParams","line":83,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.normLevelParams","doc":"Normalize universe level parameter names in the given expression.\nThe function also returns the list of universe level parameter names that have been normalized.\n"},"Lean.Compiler.LCNF.normLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L318-L319","name":"Lean.Compiler.LCNF.normLetValue","line":318,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetValue","doc":"Replace the free variables in `e` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.normLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L419-L420","name":"Lean.Compiler.LCNF.normLetDecl","line":419,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetDecl","doc":""},"Lean.Compiler.LCNF.normFunDeclImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L437-L441","name":"Lean.Compiler.LCNF.normFunDeclImp","line":437,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDeclImp","doc":""},"Lean.Compiler.LCNF.normFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L460-L461","name":"Lean.Compiler.LCNF.normFunDecl","line":460,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDecl","doc":""},"Lean.Compiler.LCNF.normFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L309-L310","name":"Lean.Compiler.LCNF.normFVar","line":309,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFVar","doc":"Normalize the given free variable.\nSee `normExprImp` for documentation on the `translator` parameter.\nThis function is meant to be used in contexts where the input free-variable is computationally relevant.\nThis function panics if the substitution is mapping `fvarId` to an expression that is not another free variable.\nThat is, it is not a type (or type former), nor `lcErased`. Recall that a valid `FVarSubst` contains only\nexpressions that are free variables, `lcErased`, or type formers.\n"},"Lean.Compiler.LCNF.normExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L322-L323","name":"Lean.Compiler.LCNF.normExprCore","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExprCore","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L312-L313","name":"Lean.Compiler.LCNF.normExpr","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExpr","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normCodeImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L443-L457","name":"Lean.Compiler.LCNF.normCodeImp","line":443,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCodeImp","doc":""},"Lean.Compiler.LCNF.normCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L464-L465","name":"Lean.Compiler.LCNF.normCode","line":464,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCode","doc":"Similar to `internalize`, but does not refresh `FVarId`s. "},"Lean.Compiler.LCNF.normArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L328-L329","name":"Lean.Compiler.LCNF.normArgs","line":328,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArgs","doc":"Normalize the given arguments using the current substitution.\n"},"Lean.Compiler.LCNF.normArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L315-L316","name":"Lean.Compiler.LCNF.normArg","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArg","doc":"Replace the free variables in `arg` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.monoTypeExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/MonoTypes.lean#L120-L121","name":"Lean.Compiler.LCNF.monoTypeExt","line":120,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/MonoTypes.html#Lean.Compiler.LCNF.monoTypeExt","doc":""},"Lean.Compiler.LCNF.monoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L37-L37","name":"Lean.Compiler.LCNF.monoExt","line":37,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.monoExt","doc":""},"Lean.Compiler.LCNF.modifyLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L119-L120","name":"Lean.Compiler.LCNF.modifyLCtx","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.modifyLCtx","doc":""},"Lean.Compiler.LCNF.mkReturnErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L370-L372","name":"Lean.Compiler.LCNF.mkReturnErased","line":370,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkReturnErased","doc":""},"Lean.Compiler.LCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L346-L351","name":"Lean.Compiler.LCNF.mkParam","line":346,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkParam","doc":""},"Lean.Compiler.LCNF.mkNewParams.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L82-L94","name":"Lean.Compiler.LCNF.mkNewParams.go","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams.go","doc":""},"Lean.Compiler.LCNF.mkNewParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L79-L94","name":"Lean.Compiler.LCNF.mkNewParams","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams","doc":"Create new parameters for the given arrow type.\nExample: if `type` is `Nat → Bool → Int`, the result is\nan array containing two new parameters with types `Nat` and `Bool`.\n"},"Lean.Compiler.LCNF.mkLetDeclErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L367-L368","name":"Lean.Compiler.LCNF.mkLetDeclErased","line":367,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDeclErased","doc":""},"Lean.Compiler.LCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L353-L358","name":"Lean.Compiler.LCNF.mkLetDecl","line":353,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.mkFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L360-L365","name":"Lean.Compiler.LCNF.mkFunDecl","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFunDecl","doc":""},"Lean.Compiler.LCNF.mkFreshJpName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L473-L474","name":"Lean.Compiler.LCNF.mkFreshJpName","line":473,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshJpName","doc":""},"Lean.Compiler.LCNF.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L331-L334","name":"Lean.Compiler.LCNF.mkFreshBinderName","line":331,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshBinderName","doc":""},"Lean.Compiler.LCNF.mkForallParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L269-L270","name":"Lean.Compiler.LCNF.mkForallParams","line":269,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkForallParams","doc":""},"Lean.Compiler.LCNF.mkFixedParamsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FixedParams.lean#L165-L173","name":"Lean.Compiler.LCNF.mkFixedParamsMap","line":165,"kind":"def","docLink":"./Lean/Compiler/LCNF/FixedParams.html#Lean.Compiler.LCNF.mkFixedParamsMap","doc":"Given the (potentially mutually) recursive declarations `decls`,\nreturn a map from declaration name `decl.name` to a bit-mask `m` where `m[i]` is true\niff the `decl.params[i]` is a fixed argument. That is, it does not change in recursive\napplications.\nThe function assumes that if a function `f` was declared in a mutual block, then `decls`\ncontains all (computationally relevant) functions in the mutual block.\n"},"Lean.Compiler.LCNF.mkDeclExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L25-L34","name":"Lean.Compiler.LCNF.mkDeclExt","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.mkDeclExt","doc":""},"Lean.Compiler.LCNF.mkCasesResultType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L284-L290","name":"Lean.Compiler.LCNF.mkCasesResultType","line":284,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkCasesResultType","doc":""},"Lean.Compiler.LCNF.mkAuxParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L476-L477","name":"Lean.Compiler.LCNF.mkAuxParam","line":476,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkAuxParam","doc":""},"Lean.Compiler.LCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L266-L267","name":"Lean.Compiler.LCNF.mkAuxLetDecl","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L280-L282","name":"Lean.Compiler.LCNF.mkAuxJpDecl'","line":280,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl'","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L277-L278","name":"Lean.Compiler.LCNF.mkAuxJpDecl","line":277,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl","doc":""},"Lean.Compiler.LCNF.mkAuxFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L272-L275","name":"Lean.Compiler.LCNF.mkAuxFunDecl","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxFunDecl","doc":""},"Lean.Compiler.LCNF.maybeTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L255-L259","name":"Lean.Compiler.LCNF.maybeTypeFormerType","line":255,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.maybeTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type or it is an \"any\" type.\nThis function is similar to `isTypeFormerType`, but more liberal.\nFor example, `isTypeFormerType` returns false for `◾` and `Nat → ◾`, but\nthis function returns true.\n"},"Lean.Compiler.LCNF.markRecDecls.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L682-L691","name":"Lean.Compiler.LCNF.markRecDecls.visit","line":682,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.markRecDecls.visit","doc":""},"Lean.Compiler.LCNF.markRecDecls.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L693-L694","name":"Lean.Compiler.LCNF.markRecDecls.go","line":693,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.markRecDecls.go","doc":""},"Lean.Compiler.LCNF.markRecDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L674-L694","name":"Lean.Compiler.LCNF.markRecDecls","line":674,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.markRecDecls","doc":"Traverse the given block of potentially mutually recursive functions\nand mark a declaration `f` as recursive if there is an application\n`f ...` in the block.\nThis is an overapproximation, and relies on the fact that our frontend\ncomputes strongly connected components.\nSee comment at `recursive` field.\n"},"Lean.Compiler.LCNF.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Main.lean#L95-L98","name":"Lean.Compiler.LCNF.main","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/Main.html#Lean.Compiler.LCNF.main","doc":""},"Lean.Compiler.LCNF.macroInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToDecl.lean#L15-L20","name":"Lean.Compiler.LCNF.macroInline","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToDecl.html#Lean.Compiler.LCNF.macroInline","doc":"Inline constants tagged with the `[macro_inline]` attribute occurring in `e`.\n"},"Lean.Compiler.LCNF.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L163-L167","name":"Lean.Compiler.LCNF.lambdaLifting","line":163,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.lambdaLifting","doc":"Eliminate all local function declarations.\n"},"Lean.Compiler.LCNF.joinTypes?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L178-L204","name":"Lean.Compiler.LCNF.joinTypes?","line":178,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes?","doc":""},"Lean.Compiler.LCNF.joinTypes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L175-L176","name":"Lean.Compiler.LCNF.joinTypes","line":175,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes","doc":""},"Lean.Compiler.LCNF.isTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L214-L218","name":"Lean.Compiler.LCNF.isTypeFormerType","line":214,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type.\n\nRemark: This is faster than `Lean.Meta.isTypeFormer`, as this\nassumes that the input `type` is an LCNF type.\n"},"Lean.Compiler.LCNF.isTrivialConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToMono.lean#L21-L24","name":"Lean.Compiler.LCNF.isTrivialConstructorApp?","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.isTrivialConstructorApp?","doc":""},"Lean.Compiler.LCNF.isSpecCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L209-L210","name":"Lean.Compiler.LCNF.isSpecCandidate","line":209,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.isSpecCandidate","doc":""},"Lean.Compiler.LCNF.isRuntimeBultinType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L90-L91","name":"Lean.Compiler.LCNF.isRuntimeBultinType","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isRuntimeBultinType","doc":"Return `true` iff `declName` is the name of a type with builtin support in the runtime.\n"},"Lean.Compiler.LCNF.isPropFormerTypeQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L19-L22","name":"Lean.Compiler.LCNF.isPropFormerTypeQuick","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerTypeQuick","doc":""},"Lean.Compiler.LCNF.isPropFormerType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L32-L41","name":"Lean.Compiler.LCNF.isPropFormerType.go","line":32,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType.go","doc":""},"Lean.Compiler.LCNF.isPropFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L27-L41","name":"Lean.Compiler.LCNF.isPropFormerType","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType","doc":"Return true iff `type` is `Prop` or `As → Prop`.\n"},"Lean.Compiler.LCNF.isPropFormer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L46-L47","name":"Lean.Compiler.LCNF.isPropFormer","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormer","doc":"Return true iff `e : Prop` or `e : As → Prop`.\n"},"Lean.Compiler.LCNF.isPredicateType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L243-L247","name":"Lean.Compiler.LCNF.isPredicateType","line":243,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPredicateType","doc":"Return `true` if `type` is a predicate.\nExamples: `Nat → Prop`, `Prop`, `Int → Bool → Prop`.\n"},"Lean.Compiler.LCNF.isLcCast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L22-L26","name":"Lean.Compiler.LCNF.isLcCast?","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isLcCast?","doc":"Return `true` if `e` is a `lcCast` application.\n"},"Lean.Compiler.LCNF.isInductiveWithNoCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L286-L289","name":"Lean.Compiler.LCNF.isInductiveWithNoCtors","line":286,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isInductiveWithNoCtors","doc":"Return `true` if `type` is an inductive datatype with 0 constructors. "},"Lean.Compiler.LCNF.isEtaExpandCandidateCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L96-L99","name":"Lean.Compiler.LCNF.isEtaExpandCandidateCore","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.isEtaExpandCandidateCore","doc":""},"Lean.Compiler.LCNF.isErasedCompatible.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L302-L313","name":"Lean.Compiler.LCNF.isErasedCompatible.go","line":302,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible.go","doc":""},"Lean.Compiler.LCNF.isErasedCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L299-L313","name":"Lean.Compiler.LCNF.isErasedCompatible","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible","doc":"Return `true` if `type` should be erased. See item 1 in the note above where `x ◾ ◾` is\na proposition and should be erased when the universe level parameter is set to 0.\n\nRemark: `predVars` is a bitmask that indicates whether de-bruijn variables are predicates or not.\nThat is, `#i` is a predicate if `predVars[predVars.size - i - 1] = true`\n"},"Lean.Compiler.LCNF.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L99-L101","name":"Lean.Compiler.LCNF.isConstructorApp","line":99,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.isConstructorApp","doc":""},"Lean.Compiler.LCNF.isCompilerRelevantMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L16-L17","name":"Lean.Compiler.LCNF.isCompilerRelevantMData","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCompilerRelevantMData","doc":"Return `true` if `mdata` should be preserved.\nRight now, we don't preserve any `MData`, but this may\nchange in the future when we add support for debugging information\n"},"Lean.Compiler.LCNF.isClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L264-L269","name":"Lean.Compiler.LCNF.isClass?","line":264,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isClass?","doc":"`isClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.isCasesApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L63-L69","name":"Lean.Compiler.LCNF.isCasesApp?","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCasesApp?","doc":""},"Lean.Compiler.LCNF.isArrowClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L275-L278","name":"Lean.Compiler.LCNF.isArrowClass?","line":275,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isArrowClass?","doc":"`isArrowClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`, or\nif it is arrow producing an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.instantiateRevRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L702-L706","name":"Lean.Compiler.LCNF.instantiateRevRangeArgs","line":702,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRevRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L696-L700","name":"Lean.Compiler.LCNF.instantiateRangeArgs","line":696,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateForall.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L229-L236","name":"Lean.Compiler.LCNF.instantiateForall.go","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall.go","doc":""},"Lean.Compiler.LCNF.instantiateForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L226-L237","name":"Lean.Compiler.LCNF.instantiateForall","line":226,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall","doc":"Given a LCNF `type` of the form `forall (a_1 : A_1) ... 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`bot`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.modifyAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L323-L326","name":"Lean.Compiler.LCNF.UnreachableBranches.modifyAssignment","line":323,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.modifyAssignment","doc":"Run `f` on the variable `Assignment` of the current function.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L444-L475","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpLetValue","line":444,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpLetValue","doc":"The abstract interpreter on a `LetValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L492-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","line":492,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L487-L490","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","line":487,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","doc":"If we see a function being passed as an argument to a higher order\nfunction we cannot know what arguments it will be passed further\ndown the line. Hence we set all of its arguments to `top` since anything\nis possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L477-L479","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","line":477,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L408-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode","line":408,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode","doc":"The actual abstract interpreter on a block of `Code`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.instReprValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instReprValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instReprValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.inferStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L505-L519","name":"Lean.Compiler.LCNF.UnreachableBranches.inferStep","line":505,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferStep","doc":"Rerun the abstract interpreter on all declarations except of the unsafe\nones. Return whether any `Value` got updated in the process.\n"},"Lean.Compiler.LCNF.UnreachableBranches.inferMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L524-L531","name":"Lean.Compiler.LCNF.UnreachableBranches.inferMain","line":524,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferMain","doc":"Run `inferStep` until it reaches a fix point.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L261-L264","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","doc":"Obtain the `Value` for a function name if possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L312-L313","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunVal","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunVal","doc":"Get the `Value` of a certain function in the current block by index.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L306-L307","name":"Lean.Compiler.LCNF.UnreachableBranches.getAssignment","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getAssignment","doc":"Get the variable `Assignment` of the current function.\n"},"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L242-L250","name":"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","line":242,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","doc":"Storing `FunctionSummaries` for all functions in a `.olean`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findVarValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L332-L334","name":"Lean.Compiler.LCNF.UnreachableBranches.findVarValue","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findVarValue","doc":"Obtain the `Value` associated with `var` from the context of `InterpM`.\nIf none is available return `Value.bot`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L315-L318","name":"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.findArgValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L339-L342","name":"Lean.Compiler.LCNF.UnreachableBranches.findArgValue","line":339,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findArgValue","doc":"Find the value of `arg` using the logic of `findVarValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L542-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","line":542,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.elimDead":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L538-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead","line":538,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead","doc":"Use the information produced by the abstract interpeter to:\n- Eliminate branches that we know cannot be hit\n- Eliminate values that we know have to be constants.\n"},"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L255-L256","name":"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","line":255,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","doc":"Add a `Value` for a function name.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.widening":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L129-L130","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.widening","line":129,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.widening","doc":"Widening operator that guarantees termination in our abstract interpreter. "},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L101-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","line":101,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L98-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","line":98,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","doc":"Make sure constructors of recursive inductive datatypes can only occur once in each path.\nValues at depth > `maxValueDepth` are also approximated at `top`.\nWe use this function to implement a simple widening operation for our abstract interpreter.\nRecall the widening functions is used to ensure termination in abstract interpreters.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L24-L27","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.top","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.top","doc":"All values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L177-L180","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.proj","line":177,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.proj","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L168-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","line":168,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L163-L167","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","line":163,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L157-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","line":157,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L172-L175","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","line":172,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L76-L88","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.merge","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.merge","doc":"Merge two values into one. `bot` is the neutral element, `top` the annihilator.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L41-L41","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L186-L188","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","line":186,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","doc":"We say that a `Value` is a literal iff it is only a tree of `Value.ctor`\nnodes.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L53-L53","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","line":53,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L206-L221","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","line":206,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L223-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","line":223,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L199-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","line":199,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","doc":"Attempt to turn a `Value` that is representing a literal into a set of\nauxiliary declarations + the final `FVarId` of the declaration that\ncontains the actual literal. If it is not a literal return none.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L147-L155","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","doc":"Obtain the arguments of a certain constructor within the `Value`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L28-L31","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","doc":"A certian consructor with a certain sets of parameters is possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L138-L142","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","doc":"Check whether a certain constructor is part of a `Value` by name.\nNote that both `top` and `bot` will always true here. For bot this is\nbecause we have no information about the `Value` so just to be sure\nwe don't claim the absence of a certain constructor.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L32-L35","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.choice","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.choice","doc":"A set of values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.bot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L20-L23","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.bot","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.bot","doc":"Undefined, could be anything we have no information.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L43-L51","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.beq","line":43,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.beq","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L63-L71","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","line":63,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","doc":"Fuse `v` into `vs`. That is do not only append but if we see that `v`\nis a constructor that is already contained within `vs` try to detect\nthe difference between these values and merge them accordingly into a\nchoice node further down the tree.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L19-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.Value","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value","doc":"The abstract domain of the interpreter. Representing sets of values\nof a certain type.\n"},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L1-L1","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L296-L296","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","doc":"`Value`s of functions in the `InterpContext` use during computation of\nthe fixpoint. 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args[arity:]\n```\n"},"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L635-L643","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","line":635,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","doc":""},"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L478-L483","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","line":478,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","doc":"Eta expand if under applied, otherwise apply k "},"Lean.Compiler.LCNF.ToLCNF.toLCNF":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L416-L752","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF","doc":"Put the given expression in `LCNF`.\n\n- Nested proofs are replaced with `lcProof`-applications.\n- Eta-expand applications of declarations that satisfy `shouldEtaExpand`.\n- Put computationally relevant expressions in A-normal form.\n"},"Lean.Compiler.LCNF.ToLCNF.toCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L240-L245","name":"Lean.Compiler.LCNF.ToLCNF.toCode","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toCode","doc":"Create `Code` that executes the current `seq` and then returns `result` "},"Lean.Compiler.LCNF.ToLCNF.seqToCode.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L154-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode.go","line":154,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.seqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L151-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode","line":151,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode","doc":""},"Lean.Compiler.LCNF.ToLCNF.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L247-L248","name":"Lean.Compiler.LCNF.ToLCNF.run","line":247,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.run","doc":""},"Lean.Compiler.LCNF.ToLCNF.pushElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L220-L221","name":"Lean.Compiler.LCNF.ToLCNF.pushElement","line":220,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.pushElement","doc":"Add 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"},"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L366-L372","name":"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","line":366,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L223-L226","name":"Lean.Compiler.LCNF.ToLCNF.mkUnreachable","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkUnreachable","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L322-L328","name":"Lean.Compiler.LCNF.ToLCNF.mkParam","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkParam","doc":"Create 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"},"Lean.Compiler.LCNF.ToLCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L330-L340","name":"Lean.Compiler.LCNF.ToLCNF.mkLetDecl","line":330,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkLcProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L24-L25","name":"Lean.Compiler.LCNF.ToLCNF.mkLcProof","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLcProof","doc":"Create the temporary `lcProof` "},"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L228-L234","name":"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","line":228,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.litToValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L404-L407","name":"Lean.Compiler.LCNF.ToLCNF.litToValue","line":404,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.litToValue","doc":""},"Lean.Compiler.LCNF.ToLCNF.liftMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L216-L217","name":"Lean.Compiler.LCNF.ToLCNF.liftMetaM","line":216,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.liftMetaM","doc":""},"Lean.Compiler.LCNF.ToLCNF.letValueToArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L236-L237","name":"Lean.Compiler.LCNF.ToLCNF.letValueToArg","line":236,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.letValueToArg","doc":""},"Lean.Compiler.LCNF.ToLCNF.isLCProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L20-L21","name":"Lean.Compiler.LCNF.ToLCNF.isLCProof","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.isLCProof","doc":"Return `true` if `e` is a `lcProof` application.\nRecall that we use `lcProof` to erase all nested proofs.\n"},"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L38-L38","name":"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","doc":""},"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L388-L402","name":"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","line":388,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","doc":"Eta reduce implicits. We use this function to eliminate introduced by the implicit lambda feature,\nwhere it generates terms such as `fun {α} => ReaderT.pure`\n"},"Lean.Compiler.LCNF.ToLCNF.etaExpandN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L377-L382","name":"Lean.Compiler.LCNF.ToLCNF.etaExpandN","line":377,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaExpandN","doc":"Eta-expand with `n` lambdas.\n"},"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L314-L319","name":"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","line":314,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L67-L68","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","line":67,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L78-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.go","line":78,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L70-L76","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","line":70,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L60-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases","doc":"This method returns code that at each exit point of `cases`, it jumps to `jpDecl`.\nIt is similar to `Code.bind`, but we add special support for `inlineMatcher`.\nThe `inlineMatcher` function inlines the auxiliary `_match_` declarations.\nTo make sure there is no code duplication, `inlineMatcher` creates auxiliary declarations `_alt.`.\nWe can say the `_alt.` declarations are pre join points. For each auxiliary declaration used at\nan exit point of `cases`, this method creates an new auxiliary join point that invokes `_alt.`,\nand then jumps to `jpDecl`. The goal is to make sure the auxiliary join point is the only occurrence\nof `_alt.`, then `simp` will inline it.\nThat is, our goal is to try to promote the pre join points `_alt.` into a proper join point.\n"},"Lean.Compiler.LCNF.ToLCNF.applyToAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L299-L303","name":"Lean.Compiler.LCNF.ToLCNF.applyToAny","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.applyToAny","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.typeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L200-L200","name":"Lean.Compiler.LCNF.ToLCNF.State.typeCache","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.typeCache","doc":"`toLCNFType` cache "},"Lean.Compiler.LCNF.ToLCNF.State.toAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L212-L212","name":"Lean.Compiler.LCNF.ToLCNF.State.toAny","line":212,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.toAny","doc":"Fields that are type formers must be replaced with `◾`\nin the resulting code. Otherwise, we have data occurring in\ntypes.\nWhen converting a `casesOn` into LCNF, we add constructor fields\nthat are types and type formers into this set. See `visitCases`.\n"},"Lean.Compiler.LCNF.ToLCNF.State.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L204-L204","name":"Lean.Compiler.LCNF.ToLCNF.State.seq","line":204,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.seq","doc":"LCNF sequence, we chain it to create a LCNF `Code` object. "},"Lean.Compiler.LCNF.ToLCNF.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L1-L1","name":"Lean.Compiler.LCNF.ToLCNF.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.mk","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L196-L196","name":"Lean.Compiler.LCNF.ToLCNF.State.lctx","line":196,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.lctx","doc":"Local context containing the original Lean types (not LCNF ones). "},"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L202-L202","name":"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","line":202,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","doc":"isTypeFormerType cache "},"Lean.Compiler.LCNF.ToLCNF.State.cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L198-L198","name":"Lean.Compiler.LCNF.ToLCNF.State.cache","line":198,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.cache","doc":"Cache from Lean regular expression to LCNF argument. 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processed\n"},"Lean.Compiler.LCNF.Specialize.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L42-L55","name":"Lean.Compiler.LCNF.Specialize.Context","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Context","doc":""},"Lean.Compiler.LCNF.Specialize.Collector.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L137-L152","name":"Lean.Compiler.LCNF.Specialize.Collector.collect","line":137,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Collector.collect","doc":"Given the specialization mask `paramsInfo` and the arguments `args`,\ncollect their dependencies, and return an array `mask` of size `paramsInfo.size` s.t.\n- `mask[i] = some args[i]` if `paramsInfo[i] != .other`\n- `mask[i] = none`, otherwise.\nThat is, `mask` contains only the arguments that are contributing to the code specialization.\nWe use this information to compute a \"key\" to uniquely identify the code specialization, and\ncreating the specialized code.\n"},"Lean.Compiler.LCNF.Specialize.CacheEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L1-L1","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.mk","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L23-L23","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.key","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.key","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L24-L24","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.declName","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.declName","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L22-L25","name":"Lean.Compiler.LCNF.Specialize.CacheEntry","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry","doc":""},"Lean.Compiler.LCNF.Specialize.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L20-L20","name":"Lean.Compiler.LCNF.Specialize.Cache","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Cache","doc":""},"Lean.Compiler.LCNF.SpecState.specInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L53-L53","name":"Lean.Compiler.LCNF.SpecState.specInfo","line":53,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.specInfo","doc":""},"Lean.Compiler.LCNF.SpecState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.mk","doc":""},"Lean.Compiler.LCNF.SpecState.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L63-L65","name":"Lean.Compiler.LCNF.SpecState.addEntry","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.addEntry","doc":""},"Lean.Compiler.LCNF.SpecState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L52-L54","name":"Lean.Compiler.LCNF.SpecState","line":52,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState","doc":""},"Lean.Compiler.LCNF.SpecParamInfo.user":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L32-L37","name":"Lean.Compiler.LCNF.SpecParamInfo.user","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.user","doc":"An argument that has been specified in the `@[specialize]` attribute. Lean specializes it even if it is\nnot fixed in recursive declarations. Non-termination can happen, and Lean interrupts it with an error message\nbased on the stack depth.\n"},"Lean.Compiler.LCNF.SpecParamInfo.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L38-L41","name":"Lean.Compiler.LCNF.SpecParamInfo.other","line":38,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.other","doc":"Parameter is not going to be specialized.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L27-L31","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","line":27,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","doc":"Computationally irrelevant parameters that are fixed in recursive declarations,\n*and* there is a `fixedInst`, `fixedHO`, or `user` param that depends on it.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L16-L20","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedInst","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedInst","doc":"A parameter that is an type class instance (or an arrow that produces a type class instance),\nand is fixed in recursive declarations. By default, Lean always specializes this kind of argument.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedHO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L21-L26","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedHO","line":21,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedHO","doc":"A parameter that is a function and is fixed in recursive declarations. If the user tags a declaration\nwith `@[specialize]` without specifying which arguments should be specialized, Lean will specialize\n`.fixedHO` arguments in addition to `.fixedInst`.\n"},"Lean.Compiler.LCNF.SpecParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L15-L42","name":"Lean.Compiler.LCNF.SpecParamInfo","line":15,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo","doc":"Each parameter is associated with a `SpecParamInfo`. This information is used by `LCNF/Specialize.lean`.\n"},"Lean.Compiler.LCNF.SpecEntry.paramsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L58-L58","name":"Lean.Compiler.LCNF.SpecEntry.paramsInfo","line":58,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.paramsInfo","doc":""},"Lean.Compiler.LCNF.SpecEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.mk","doc":""},"Lean.Compiler.LCNF.SpecEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L57-L57","name":"Lean.Compiler.LCNF.SpecEntry.declName","line":57,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.declName","doc":""},"Lean.Compiler.LCNF.SpecEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L56-L59","name":"Lean.Compiler.LCNF.SpecEntry","line":56,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry","doc":""},"Lean.Compiler.LCNF.Simp.withInlining.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L132-L139","name":"Lean.Compiler.LCNF.Simp.withInlining.check","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining.check","doc":""},"Lean.Compiler.LCNF.Simp.withInlining":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L125-L139","name":"Lean.Compiler.LCNF.Simp.withInlining","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining","doc":"Execute `x` with an updated `inlineStack`. If `value` is of the form `const ...`, add `const` to the stack.\nOtherwise, do not change the `inlineStack`.\n"},"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L152-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","line":152,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","doc":""},"Lean.Compiler.LCNF.Simp.withIncRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L144-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth","line":144,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth","doc":"Similar to the default `Lean.withIncRecDepth`, but include the `inlineStack` in the error messsage.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","doc":""},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L85-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp","line":85,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L103-L104","name":"Lean.Compiler.LCNF.Simp.withDiscrCtor","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtor","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withAddMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L174-L180","name":"Lean.Compiler.LCNF.Simp.withAddMustInline","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withAddMustInline","doc":"Execute `x` with `fvarId` set as `mustInline`.\nAfter execution the original setting is restored.\n"},"Lean.Compiler.LCNF.Simp.updateFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L116-L119","name":"Lean.Compiler.LCNF.Simp.updateFunDeclInfo","line":116,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.updateFunDeclInfo","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.specializePartialApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L45-L57","name":"Lean.Compiler.LCNF.Simp.specializePartialApp","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.specializePartialApp","doc":"Create a new local function declaration when `info.args.size < info.params.size`.\nWe use this function to inline/specialize a partial application of a local function.\n"},"Lean.Compiler.LCNF.Simp.simpValue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L54-L56","name":"Lean.Compiler.LCNF.Simp.simpValue?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpValue?","doc":"Try to apply simple simplifications. "},"Lean.Compiler.LCNF.Simp.simpProj?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L14-L19","name":"Lean.Compiler.LCNF.Simp.simpProj?","line":14,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpProj?","doc":"Try to simplify projections `.proj _ i s` where `s` is constructor.\n"},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L232-L271","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","line":232,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L273-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","line":273,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L204-L230","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visit","line":204,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visit","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L194-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?","doc":"Try to optimize `jpCases` join points.\nWe say a join point is a `jpCases` when it satifies the predicate `isJpCases`.\nIf we have a jump to `jpCases` with a constructor, then we can optimize the code by creating an new join point for\nthe constructor.\nExample: suppose we have\n```lean\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => let x.3 := h x.1; return x.3\n...\ncases x.4\n| ctor1 =>\n let x.5 := cons z.1 z.2\n jmp _jp.1 x.5\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nThis `simpJpCases?` converts it to\n```lean\njp _jp.2 h t :=\n let x.1 := true\n let x.3 := h x.1\n return x.3\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => jmp _jp.2 h t\n...\ncases x.4\n| ctor1 =>\n -- The constructor has been eliminated here\n jmp _jp.2 z.1 z.2\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nNote that if all jumps to the join point are with constructors,\nthen the join point is eliminated as dead code.\n"},"Lean.Compiler.LCNF.Simp.simpFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L179-L183","name":"Lean.Compiler.LCNF.Simp.simpFunDecl","line":179,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpFunDecl","doc":"Simplify the given local function declaration.\n"},"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L106-L109","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","line":106,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","doc":""},"Lean.Compiler.LCNF.Simp.simpCtorDiscr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L41-L45","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscr?","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpCtorDiscr?","doc":""},"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L188-L213","name":"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","line":188,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","doc":"Try to simplify `cases` of `constructor`\n"},"Lean.Compiler.LCNF.Simp.simpAppApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L29-L39","name":"Lean.Compiler.LCNF.Simp.simpAppApp?","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpAppApp?","doc":"Application over application.\n```\nlet g := f a\ng b\n```\nis simplified to `f a b`.\n"},"Lean.Compiler.LCNF.Simp.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L218-L333","name":"Lean.Compiler.LCNF.Simp.simp","line":218,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simp","doc":"Simplify `code`\n"},"Lean.Compiler.LCNF.Simp.shouldInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L200-L204","name":"Lean.Compiler.LCNF.Simp.shouldInlineLocal","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.shouldInlineLocal","doc":"Return `true` if the given local function declaration should be inlined.\n"},"Lean.Compiler.LCNF.Simp.markUsedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L22-L23","name":"Lean.Compiler.LCNF.Simp.markUsedType","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedType","doc":"Mark all free variables occurring in `type` as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L37-L42","name":"Lean.Compiler.LCNF.Simp.markUsedLetValue","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetValue","doc":"Mark all free variables occurring in `e` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L48-L49","name":"Lean.Compiler.LCNF.Simp.markUsedLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetDecl","doc":"Mark all free variables occurring on the right-hand side of the given let declaration as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L67-L68","name":"Lean.Compiler.LCNF.Simp.markUsedFunDecl","line":67,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFunDecl","doc":"Mark all free variables occurring in `funDecl` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L15-L16","name":"Lean.Compiler.LCNF.Simp.markUsedFVar","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFVar","doc":"Mark `fvarId` as an used free variable.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L55-L62","name":"Lean.Compiler.LCNF.Simp.markUsedCode","line":55,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedCode","doc":"Mark all free variables occurring in `code` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L28-L32","name":"Lean.Compiler.LCNF.Simp.markUsedArg","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedArg","doc":"Mark all free variables occurring in `arg` as used.\n"},"Lean.Compiler.LCNF.Simp.markSimplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L88-L89","name":"Lean.Compiler.LCNF.Simp.markSimplified","line":88,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.markSimplified","doc":"Set the `simplified` flag to `true`. "},"Lean.Compiler.LCNF.Simp.isUsed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L74-L75","name":"Lean.Compiler.LCNF.Simp.isUsed","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.isUsed","doc":"Return `true` if `fvarId` is in the `used` set.\n"},"Lean.Compiler.LCNF.Simp.isSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L194-L195","name":"Lean.Compiler.LCNF.Simp.isSmall","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isSmall","doc":"Return `true` if the given code is considered \"small\".\n"},"Lean.Compiler.LCNF.Simp.isReturnOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L93-L98","name":"Lean.Compiler.LCNF.Simp.isReturnOf","line":93,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.isReturnOf","doc":"Similar to `Code.isReturnOf`, but taking the current substitution into account.\n"},"Lean.Compiler.LCNF.Simp.isOnceOrMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L186-L189","name":"Lean.Compiler.LCNF.Simp.isOnceOrMustInline","line":186,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isOnceOrMustInline","doc":"Return true if the given local function declaration or join point id is marked as\n`once` or `mustInline`. We use this information to decide whether to inline them.\n"},"Lean.Compiler.LCNF.Simp.isJpCases?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L31-L36","name":"Lean.Compiler.LCNF.Simp.isJpCases?.go","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?.go","doc":""},"Lean.Compiler.LCNF.Simp.isJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L26-L37","name":"Lean.Compiler.LCNF.Simp.isJpCases?","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?","doc":"Given the function declaration `decl`, return `some idx` if it is of the form\n```\nf y :=\n ... /- This part is not bigger than smallThreshold. -/\n cases y\n | ... => ...\n ...\n```\n`idx` is the index of the parameter used in the `cases` statement.\n"},"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instMonadSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L79-L79","name":"Lean.Compiler.LCNF.Simp.instMonadSimpM","line":79,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L84-L85","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","line":84,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L81-L82","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","line":81,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L50-L50","name":"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","line":50,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L43-L43","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","line":43,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L38-L38","name":"Lean.Compiler.LCNF.Simp.instInhabitedConfig","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.instInhabitedConfig","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L77-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","line":77,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L50-L75","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","line":50,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L37-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?","doc":"Auxiliary function for projecting \"type class dictionary access\".\nThat is, we are trying to extract one of the type class instance elements.\nRemark: We do not consider parent instances to be elements.\nFor example, suppose `e` is `_x_4.1`, and we have\n```\n_x_2 : Monad (ReaderT Bool (ExceptT String Id)) := @ReaderT.Monad Bool (ExceptT String Id) _x_1\n_x_3 : Applicative (ReaderT Bool (ExceptT String Id)) := _x_2.1\n_x_4 : Functor (ReaderT Bool (ExceptT String Id)) := _x_3.1\n```\nThen, we will expand `_x_4.1` since it corresponds to the `Functor` `map` element,\nand its type is not a type class, but is of the form\n```\n{α β : Type u} → (α → β) → ...\n```\nIn the example above, the compiler should not expand `_x_3.1` or `_x_2.1` because they are\ntype class applications: `Functor` and `Applicative` respectively.\nBy eagerly expanding them, we may produce inefficient and bloated code.\nFor example, we may be using `_x_3.1` to invoke a function that expects a `Functor` instance.\nBy expanding `_x_3.1` we will be just expanding the code that creates this instance.\n\nThe result is representing a sequence of code containing let-declarations and local function declarations (`Array CodeDecl`)\nand the free variable containing the result (`FVarId`). The resulting `FVarId` often depends only on a small\nsubset of `Array CodeDecl`. However, this method does try to filter the relevant ones.\nWe rely on the `used` var set available in `SimpM` to filter them. See `attachCodeDecls`.\n"},"Lean.Compiler.LCNF.Simp.inlineJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L62-L67","name":"Lean.Compiler.LCNF.Simp.inlineJp?","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineJp?","doc":"Try to inline a join point.\n"},"Lean.Compiler.LCNF.Simp.inlineCandidate?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L34-L106","name":"Lean.Compiler.LCNF.Simp.inlineCandidate?","line":34,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.inlineCandidate?","doc":"Return `some info` if `e` should be inlined.\n"},"Lean.Compiler.LCNF.Simp.inlineApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L121-L174","name":"Lean.Compiler.LCNF.Simp.inlineApp?","line":121,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineApp?","doc":"If the value of the given let-declaration is an application that can be inlined,\ninline it and simplify the result.\n\n`k` is the \"continuation\" for the let declaration, if the application is inlined,\nit will also be simplified.\n\nNote: `inlineApp?` did not use to be in this mutually recursive declaration.\nIt used to be invoked by `simp`, and would return `Option Code` that would be\nthen simplified by `simp`. However, this simpler architecture produced an\nexponential blowup in when processing functions such as `Lean.Elab.Deriving.Ord.mkMatch.mkAlts`.\nThe key problem is that when inlining a declaration we often can reduce the number\nof exit points by simplified the inlined code, and then connecting the result to the\ncontinuation `k`. However, this optimization is only possible if we simplify the\ninlined code **before** we attach it to the continuation.\n"},"Lean.Compiler.LCNF.Simp.incVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L92-L93","name":"Lean.Compiler.LCNF.Simp.incVisited","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incVisited","doc":"Increment `visited` performance counter. "},"Lean.Compiler.LCNF.Simp.incInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L100-L101","name":"Lean.Compiler.LCNF.Simp.incInlineLocal","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInlineLocal","doc":"Increment `inlineLocal` performance counter. It is the number of inlined local function and join point declarations. "},"Lean.Compiler.LCNF.Simp.incInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L96-L97","name":"Lean.Compiler.LCNF.Simp.incInline","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInline","doc":"Increment `inline` performance counter. It is the number of inlined global declarations. "},"Lean.Compiler.LCNF.Simp.getIndInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L71-L79","name":"Lean.Compiler.LCNF.Simp.getIndInfo?","line":71,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.getIndInfo?","doc":"If `type` is an inductive datatype, return its universe levels and parameters.\n"},"Lean.Compiler.LCNF.Simp.findFunDecl'?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Basic.lean#L23-L29","name":"Lean.Compiler.LCNF.Simp.findFunDecl'?","line":23,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Basic.html#Lean.Compiler.LCNF.Simp.findFunDecl'?","doc":"Similar to `findFunDecl?`, but follows aliases (i.e., `let _x.i := _x.j`).\nConsider the following example\n```\nfun _f.1 ... := ...\nlet _x.2 := _f.1\n```\n`findFunDecl? _x.2` returns `none`, but `findFunDecl'? _x.2` returns the declaration for `_f.1`.\n"},"Lean.Compiler.LCNF.Simp.findCtorName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.findCtorName?","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtorName?","doc":""},"Lean.Compiler.LCNF.Simp.findCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L54-L62","name":"Lean.Compiler.LCNF.Simp.findCtor?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtor?","doc":"If `fvarId` is a constructor application, returns constructor information.\nRemark: we use the map `discrCtorMap`.\nRemark: We use this method when simplifying projections and cases-constructor.\n"},"Lean.Compiler.LCNF.Simp.etaPolyApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L75-L88","name":"Lean.Compiler.LCNF.Simp.etaPolyApp?","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.etaPolyApp?","doc":"When the configuration flag `etaPoly = true`, we eta-expand\npartial applications of functions that take local instances as arguments.\nThis kind of function is inlined or specialized, and we create new\nsimplification opportunities by eta-expanding them.\n"},"Lean.Compiler.LCNF.Simp.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L223-L225","name":"Lean.Compiler.LCNF.Simp.eraseLetDecl","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseLetDecl","doc":"Erase the given let-declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L231-L233","name":"Lean.Compiler.LCNF.Simp.eraseFunDecl","line":231,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseFunDecl","doc":"Erase the given local function declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.elimVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L100-L102","name":"Lean.Compiler.LCNF.Simp.elimVar?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.elimVar?","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L68-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","line":68,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L64-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo","doc":"Return a map containing entries `jpFVarId ↦ { paramIdx, ctorNames }` where `jpFVarId` is the id of join point\nin code that satisfies `isJpCases`, and `ctorNames` is a set of constructor names such that\nthere is a jump `.jmp jpFVarId #[..., x, ...]` in `code` and `x` is a constructor application.\n`paramIdx` is the index of the parameter\n"},"Lean.Compiler.LCNF.Simp.betaReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L211-L217","name":"Lean.Compiler.LCNF.Simp.betaReduce","line":211,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.betaReduce","doc":"LCNF \"Beta-reduce\". The equivalent of `(fun params => code) args`.\nIf `mustInline` is true, the local function declarations in the resulting code are marked as `.mustInline`.\nSee comment at `updateFunDeclInfo`.\n"},"Lean.Compiler.LCNF.Simp.attachCodeDecls.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls.go","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls.go","doc":""},"Lean.Compiler.LCNF.Simp.attachCodeDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L86-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls","doc":"Attach the given `decls` to `code`. For example, assume `decls` is `#[.let _x.1 := 10, .let _x.2 := true]`,\nthen the result is\n```\nlet _x.1 := 10\nlet _x.2 := true\n
partial def\nEDSL2.elabStxExpr :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L190-L199","name":"EDSL2.elabBB","line":190,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabBB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L186-L188","name":"EDSL2.elabStmt.go","line":186,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStmt.go","doc":""},"header":"Lean.TSyntax `dsl_expr2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
partial def\nEDSL2.elabStmt.go\n(rest : EDSL2.StmtBuilder EDSL2.ElabVar)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L182-L188","name":"EDSL2.elabStmt","line":182,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabStmt","doc":""},"header":"List (Lean.TSyntax `EDSL2.dsl_assign2) → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
partial def\nEDSL2.elabStmt\n(rest : EDSL2.StmtBuilder EDSL2.ElabVar)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L164-L178","name":"EDSL2.elabAssign","line":164,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabAssign","doc":"Given the rest of the statements that are to be built, build them "},"header":"Lean.TSyntax `dsl_stmt2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
partial def\nEDSL2.elabAssign\n(restBuilderM : EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L154-L161","name":"EDSL2.elabRgn","line":154,"kind":"opaque","docLink":"./SSA/Core/EDSLNested.html#EDSL2.elabRgn","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L146-L151","name":"EDSL2.StmtBuilder.toAssign","line":146,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.toAssign","doc":"Build an assignment to store `e`. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L140-L142","name":"EDSL2.StmtBuilder.ofVal","line":140,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.ofVal","doc":"Builder a `StmtBuilder` from a raw value "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L136-L137","name":"EDSL2.instToStringStmtBuilder","line":136,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instToStringStmtBuilder","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L133-L134","name":"EDSL2.StmtBuilder.setVal","line":133,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.setVal","doc":"Set the value stored in the StmtBuilder "},"header":"Lean.TSyntax `EDSL2.dsl_assign2 → EDSL2.SSAElabM (EDSL2.StmtBuilder EDSL2.ElabVar)
def\nEDSL2.StmtBuilder.setVal\n{α : Type}\n\n{β : Type}\n\n(e : EDSL2.StmtBuilder α)\n\n(val : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L127-L129","name":"EDSL2.StmtBuilder.prependHole","line":127,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.prependHole","doc":"extend the left of the appendk with `leftHole` "},"header":"def\nEDSL2.StmtBuilder.prependHole\n{α : Type}\n\n(right : EDSL2.StmtBuilder α)\n\n(leftHole : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L122-L124","name":"EDSL2.StmtBuilder.appendHole","line":122,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.appendHole","doc":"extend the inside of 'e' with 'hole'. Prefer using `StmtBuilder.append`. "},"header":"def\nEDSL2.StmtBuilder.appendHole\n{α : Type}\n\n(e : EDSL2.StmtBuilder α)\n\n(appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L116-L119","name":"EDSL2.StmtBuilder.append","line":116,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.append","doc":"Append right to left "},"header":"def\nEDSL2.StmtBuilder.append\n{α : Type}\n\n{β : Type}\n\n(left : EDSL2.StmtBuilder α)\n\n(right : EDSL2.StmtBuilder β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L110-L113","name":"EDSL2.StmtBuilder.prepend","line":110,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.prepend","doc":"Chain two statement builders "},"header":"def\nEDSL2.StmtBuilder.prepend\n{β : Type}\n\n{α : Type}\n\n(right : EDSL2.StmtBuilder β)\n\n(left : EDSL2.StmtBuilder α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L106-L106","name":"EDSL2.instInhabitedStmtBuilder","line":106,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instInhabitedStmtBuilder","doc":""},"header":"instance\nEDSL2.instInhabitedStmtBuilder :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L105-L105","name":"EDSL2.StmtBuilder.val","line":105,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.val","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L104-L104","name":"EDSL2.StmtBuilder.appendk","line":104,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.appendk","doc":""},"header":"{a : Type} → [inst : Inhabited a] → Inhabited (EDSL2.StmtBuilder a)
abbrev\nEDSL2.StmtBuilder.appendk\n{α : Type}\n\n(self : EDSL2.StmtBuilder α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L102-L102","name":"EDSL2.StmtBuilder.mk","line":102,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.mk","doc":""},"header":"Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term)
constructor\nEDSL2.StmtBuilder.mk\n{α : Type}\n\n(appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n\n(val : α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L102-L106","name":"EDSL2.StmtBuilder","line":102,"kind":"structure","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder","doc":"A statement builder that can be filled with a statement.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L93-L97","name":"EDSL2.ElabVar.quoteAsContextVar","line":93,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.quoteAsContextVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/EDSLNested.lean#L89-L91","name":"EDSL2.idxToContextVar","line":89,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.idxToContextVar","doc":"convert a de-bruijn into a intrinsically well typed context variable 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abbrev\nEDSL2.StmtBuilder.appendk\n{α : Type}\n\n(self : EDSL2.StmtBuilder α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L102-L102","name":"EDSL2.StmtBuilder.mk","line":102,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder.mk","doc":""},"header":"Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term)
constructor\nEDSL2.StmtBuilder.mk\n{α : Type}\n\n(appendk : Lean.TSyntax `term → EDSL2.SSAElabM (Lean.TSyntax `term))\n\n(val : α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L102-L106","name":"EDSL2.StmtBuilder","line":102,"kind":"structure","docLink":"./SSA/Core/EDSLNested.html#EDSL2.StmtBuilder","doc":"A statement builder that can be filled with a statement.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L93-L97","name":"EDSL2.ElabVar.quoteAsContextVar","line":93,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.quoteAsContextVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L89-L91","name":"EDSL2.idxToContextVar","line":89,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.idxToContextVar","doc":"convert a de-bruijn into a intrinsically well typed context variable "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L84-L86","name":"EDSL2.dslVarToElabVar","line":84,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dslVarToElabVar","doc":"extract out the index (nat) of the dsl_var "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L77-L80","name":"EDSL2.SSAElabContext.getIndex?","line":77,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.getIndex?","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L67-L73","name":"EDSL2.SSAElabContext.addFreshSyntheticVar","line":67,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.addFreshSyntheticVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L63-L64","name":"EDSL2.SSAElabContext.addVar","line":63,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.addVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L61-L61","name":"EDSL2.SSAElabM","line":61,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabM","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L59-L59","name":"EDSL2.SSAElabContext.vars","line":59,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.vars","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L58-L59","name":"EDSL2.SSAElabContext","line":58,"kind":"structure","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L53-L54","name":"EDSL2.ElabVar.quoteAsNat","line":53,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.quoteAsNat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L49-L51","name":"EDSL2.ElabVar.toNat","line":49,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.toNat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L47-L47","name":"EDSL2.instToStringElabVar","line":47,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instToStringElabVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L43-L45","name":"EDSL2.ElabVar.toString","line":43,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.toString","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L41-L41","name":"EDSL2.instInhabitedElabVar","line":41,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instInhabitedElabVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L41-L41","name":"EDSL2.instDecidableEqElabVar","line":41,"kind":"instance","docLink":"./SSA/Core/EDSLNested.html#EDSL2.instDecidableEqElabVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L40-L40","name":"EDSL2.ElabVar.Synthetic","line":40,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.Synthetic","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L39-L39","name":"EDSL2.ElabVar.User","line":39,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar.User","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L38-L41","name":"EDSL2.ElabVar","line":38,"kind":"inductive","docLink":"./SSA/Core/EDSLNested.html#EDSL2.ElabVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L34-L34","name":"EDSL2.«dsl_region2{_=>_}»","line":34,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_region2{_=>_}»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L32-L32","name":"EDSL2.dsl_bb2","line":32,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_bb2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L30-L30","name":"EDSL2.«dsl_stmt2_;»","line":30,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_stmt2_;»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L29-L29","name":"EDSL2.dsl_assign2","line":29,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_assign2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L28-L28","name":"EDSL2.«dsl_expr2Op:_____»","line":28,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2Op:_____»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L27-L27","name":"EDSL2.«dsl_expr2(_,_,_)»","line":27,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_,_,_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L26-L26","name":"EDSL2.«dsl_expr2(_,_)»","line":26,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_,_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L25-L25","name":"EDSL2.«dsl_expr2(_)»","line":25,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L24-L24","name":"EDSL2.«dsl_expr2()»","line":24,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«dsl_expr2()»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L23-L23","name":"EDSL2.dsl_expr2_","line":23,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_expr2_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L16-L16","name":"EDSL2.dsl_stmt2.quot","line":16,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_stmt2.quot","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L16-L16","name":"Lean.Parser.Category.dsl_stmt2","line":16,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_stmt2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L15-L15","name":"EDSL2.dsl_region2.quot","line":15,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_region2.quot","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L15-L15","name":"Lean.Parser.Category.dsl_region2","line":15,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_region2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L14-L14","name":"Lean.Parser.Category.dsl_expr2","line":14,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_expr2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L14-L14","name":"EDSL2.dsl_expr2.quot","line":14,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_expr2.quot","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L13-L13","name":"EDSL2.dsl_var2","line":13,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_var2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L12-L12","name":"EDSL2.«term[dsl_op2|_]»","line":12,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.«term[dsl_op2|_]»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L11-L11","name":"EDSL2.dsl_op2.quot","line":11,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#EDSL2.dsl_op2.quot","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L11-L11","name":"Lean.Parser.Category.dsl_op2","line":11,"kind":"def","docLink":"./SSA/Core/EDSLNested.html#Lean.Parser.Category.dsl_op2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/EDSLNested.lean#L1-L1","name":"EDSL2.SSAElabContext.mk","line":1,"kind":"ctor","docLink":"./SSA/Core/EDSLNested.html#EDSL2.SSAElabContext.mk","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Core.Framework.bmp b/declarations/declaration-data-SSA.Core.Framework.bmp
index acf9dc353..ce2376bc1 100644
--- a/declarations/declaration-data-SSA.Core.Framework.bmp
+++ b/declarations/declaration-data-SSA.Core.Framework.bmp
@@ -1 +1 @@
-{"name":"SSA.Core.Framework","instances":[{"typeNames":["Eq","SSA.Var"],"name":"SSA.instDecidableEqVar","className":"Decidable"},{"typeNames":["SSA.Env"],"name":"SSA.instEmptyCollectionEnv","className":"EmptyCollection"}],"imports":["Init","Lean","Mathlib.Tactic.NormNum","Mathlib.Tactic.Linarith","Mathlib.Data.Nat.Basic","Mathlib.Data.Int.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L104-L107","name":"SSA.Tree.eval","line":104,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Tree.eval","doc":""},"header":"def\nSSA.Tree.eval\n{Val : Type}\n\n{Op : Type}\n\n[inst : Inhabited Val]\n\n[S : SSA.UserSemantics Op Val]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L102-L102","name":"SSA.Tree.oprgn","line":102,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.oprgn","doc":""},"header":"SSA.Tree Op Val → Val
constructor\nSSA.Tree.oprgn\n{Op : Type}\n\n{Val : Type}\n\n(op : Op)\n\n(t : SSA.Tree Op Val)\n\n(r : Val → SSA.Tree Op Val)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L101-L101","name":"SSA.Tree.op","line":101,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.op","doc":""},"header":"SSA.Tree Op Val
constructor\nSSA.Tree.op\n{Op : Type}\n\n{Val : Type}\n\n(op : Op)\n\n(t : SSA.Tree Op Val)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L100-L100","name":"SSA.Tree.pair","line":100,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.pair","doc":""},"header":"SSA.Tree Op Val
constructor\nSSA.Tree.pair\n{Op : Type}\n\n{Val : Type}\n\n(e1 : SSA.Tree Op Val)\n\n(e2 : SSA.Tree Op Val)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L99-L102","name":"SSA.Tree","line":99,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.Tree","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L85-L97","name":"SSA.SSA.eval","line":85,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSA.eval","doc":""},"header":"SSA.Tree Op Val
def\nSSA.SSA.eval\n{Val : Type}\n\n{Op : Type}\n\n{k : SSA.SSAIndex}\n\n[inst : Inhabited Val]\n\n[S : SSA.UserSemantics Op Val]\n\n(e : SSA.Env Val)\n\n(re : SSA.Env (Val → Val))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L79-L83","name":"SSA.SSAIndex.eval","line":79,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L77-L77","name":"SSA.UserSemantics.valTriple","line":77,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valTriple","doc":""},"header":"SSA.SSA Op k → SSA.SSAIndex.eval Val k
abbrev\nSSA.UserSemantics.valTriple\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L76-L76","name":"SSA.UserSemantics.valPair","line":76,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valPair","doc":""},"header":"Val → Val → Val → Val
abbrev\nSSA.UserSemantics.valPair\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L75-L75","name":"SSA.UserSemantics.valUnit","line":75,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valUnit","doc":"Okay Yuck "},"header":"Val → Val → Val
abbrev\nSSA.UserSemantics.valUnit\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L73-L73","name":"SSA.UserSemantics.eval","line":73,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.eval","doc":"`Op` is semantically a function `Val → (Val → Val) → Val`\nfor every operation, produce a result `Val` given the\ninput variable value (⟦val⟧ : Val)\nand input region value (⟦rgn⟧ : Val → Val) "},"header":"Val
abbrev\nSSA.UserSemantics.eval\n{Op : Type}\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n\n(o : Op)\n\n(arg : Val)\n\n(rgn : Val → Val)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L68-L68","name":"SSA.UserSemantics.mk","line":68,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.mk","doc":""},"header":"Val
constructor\nSSA.UserSemantics.mk\n{Op : Type}\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n(eval : Op → Val → (Val → Val) → Val)\n\n(valUnit : Val)\n\n(valPair : Val → Val → Val)\n\n(valTriple : Val → Val → Val → Val)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L68-L77","name":"SSA.UserSemantics","line":68,"kind":"class","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L66-L66","name":"SSA.«term_[_:=_]»","line":66,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.«term_[_:=_]»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L64-L65","name":"SSA.Env.set","line":64,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Env.set","doc":""},"header":"SSA.UserSemantics Op Val
def\nSSA.Env.set\n{Val : Type}\n\n(e : SSA.Env Val)\n\n(var : SSA.Var)\n\n(val : Val)\n\n(needle : SSA.Var)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Framework.lean#L61-L61","name":"SSA.instEmptyCollectionEnv","line":61,"kind":"instance","docLink":"./SSA/Core/Framework.html#SSA.instEmptyCollectionEnv","doc":""},"header":"Val
instance\nSSA.instEmptyCollectionEnv\n{Val : Type}\n\n[inst : Inhabited Val]\n :
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constructor\nSSA.SSA.rgn\n{Op : Type}\n\n(arg : SSA.Var)\n\n(body : SSA.SSA Op SSA.SSAIndex.TERMINATOR)\n :
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+{"name":"SSA.Core.Framework","instances":[{"typeNames":["Eq","SSA.Var"],"name":"SSA.instDecidableEqVar","className":"Decidable"},{"typeNames":["SSA.Env"],"name":"SSA.instEmptyCollectionEnv","className":"EmptyCollection"}],"imports":["Init","Lean","Mathlib.Tactic.NormNum","Mathlib.Tactic.Linarith","Mathlib.Data.Nat.Basic","Mathlib.Data.Int.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L104-L107","name":"SSA.Tree.eval","line":104,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Tree.eval","doc":""},"header":"def\nSSA.Tree.eval\n{Val : Type}\n\n{Op : Type}\n\n[inst : Inhabited Val]\n\n[S : SSA.UserSemantics Op Val]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L102-L102","name":"SSA.Tree.oprgn","line":102,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.Tree.oprgn","doc":""},"header":"SSA.Tree Op Val → Val
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constructor\nSSA.Tree.op\n{Op : Type}\n\n{Val : Type}\n\n(op : Op)\n\n(t : SSA.Tree Op Val)\n :
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constructor\nSSA.Tree.pair\n{Op : Type}\n\n{Val : Type}\n\n(e1 : SSA.Tree Op Val)\n\n(e2 : SSA.Tree Op Val)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L99-L102","name":"SSA.Tree","line":99,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.Tree","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L85-L97","name":"SSA.SSA.eval","line":85,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSA.eval","doc":""},"header":"SSA.Tree Op Val
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"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L79-L83","name":"SSA.SSAIndex.eval","line":79,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L77-L77","name":"SSA.UserSemantics.valTriple","line":77,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valTriple","doc":""},"header":"SSA.SSA Op k → SSA.SSAIndex.eval Val k
abbrev\nSSA.UserSemantics.valTriple\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L76-L76","name":"SSA.UserSemantics.valPair","line":76,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valPair","doc":""},"header":"Val → Val → Val → Val
abbrev\nSSA.UserSemantics.valPair\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L75-L75","name":"SSA.UserSemantics.valUnit","line":75,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.UserSemantics.valUnit","doc":"Okay Yuck "},"header":"Val → Val → Val
abbrev\nSSA.UserSemantics.valUnit\n(Op : Type)\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n :
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abbrev\nSSA.UserSemantics.eval\n{Op : Type}\n\n{Val : Type}\n\n[inst : Inhabited Val]\n\n[self : SSA.UserSemantics Op Val]\n\n(o : Op)\n\n(arg : Val)\n\n(rgn : Val → Val)\n :
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def\nSSA.Env.set\n{Val : Type}\n\n(e : SSA.Env Val)\n\n(var : SSA.Var)\n\n(val : Val)\n\n(needle : SSA.Var)\n :
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"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L36-L37","name":"SSA.SSA.pair","line":36,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.pair","doc":"(fst, snd) "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L34-L35","name":"SSA.SSA.unit","line":34,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.unit","doc":"() "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L32-L33","name":"SSA.SSA.ret","line":32,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.ret","doc":"above; ret v "},"header":"constructor\nSSA.SSA.ret\n{Op : Type}\n\n(above : SSA.SSA Op SSA.SSAIndex.STMT)\n\n(v : SSA.Var)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L30-L31","name":"SSA.SSA.nop","line":30,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.nop","doc":"no operation. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L28-L29","name":"SSA.SSA.assign","line":28,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSA.assign","doc":"lhs := rhs; rest of the program "},"header":"constructor\nSSA.SSA.assign\n{Op : Type}\n\n(lhs : SSA.Var)\n\n(rhs : SSA.SSA Op SSA.SSAIndex.EXPR)\n\n(rest : SSA.SSA Op SSA.SSAIndex.STMT)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L27-L49","name":"SSA.SSA","line":27,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.SSA","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L22-L23","name":"SSA.SSAIndex.REGION","line":22,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.REGION","doc":"a lambda "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L20-L21","name":"SSA.SSAIndex.TERMINATOR","line":20,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.TERMINATOR","doc":"The final instruction in a region. Must be a return "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L18-L19","name":"SSA.SSAIndex.EXPR","line":18,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.EXPR","doc":"Ways of making an RHS "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L16-L17","name":"SSA.SSAIndex.STMT","line":16,"kind":"ctor","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex.STMT","doc":"LHS := RHS. LHS is a `Var` and RHS is an `SSA Op .EXPR` "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L15-L23","name":"SSA.SSAIndex","line":15,"kind":"inductive","docLink":"./SSA/Core/Framework.html#SSA.SSAIndex","doc":"Us mucking around to avoid mutual inductives. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L11-L12","name":"SSA.instDecidableEqVar","line":11,"kind":"instance","docLink":"./SSA/Core/Framework.html#SSA.instDecidableEqVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L9-L9","name":"SSA.RegionVar","line":9,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.RegionVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Framework.lean#L8-L8","name":"SSA.Var","line":8,"kind":"def","docLink":"./SSA/Core/Framework.html#SSA.Var","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Core.Tactic.bmp b/declarations/declaration-data-SSA.Core.Tactic.bmp
index d736462bc..808330f56 100644
--- a/declarations/declaration-data-SSA.Core.Tactic.bmp
+++ b/declarations/declaration-data-SSA.Core.Tactic.bmp
@@ -1 +1 @@
-{"name":"SSA.Core.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"header":""}]}
\ No newline at end of file
+{"name":"SSA.Core.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Core.Util.bmp b/declarations/declaration-data-SSA.Core.Util.bmp
index e606fe3af..ff7ce61b5 100644
--- a/declarations/declaration-data-SSA.Core.Util.bmp
+++ b/declarations/declaration-data-SSA.Core.Util.bmp
@@ -1 +1 @@
-{"name":"SSA.Core.Util","instances":[{"typeNames":["LengthIndexedList"],"name":"instReprLengthIndexedList","className":"Repr"},{"typeNames":["Eq","LengthIndexedList"],"name":"instDecidableEqLengthIndexedList","className":"Decidable"},{"typeNames":["LengthIndexedList","Nat","LengthIndexedList","Nat","LT.lt","instLTNat"],"name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","className":"GetElem"}],"imports":["Init","Mathlib.Data.Fin.Basic","Lean"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L78-L80","name":"LengthIndexedList.finRangeIndex","line":78,"kind":"theorem","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRangeIndex","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L70-L75","name":"LengthIndexedList.finRange","line":70,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRange","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L66-L68","name":"LengthIndexedList.NatEq","line":66,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.NatEq","doc":""},"header":"def\nLengthIndexedList.NatEq\n{α : Type u}\n\n{n : ℕ}\n\n{m : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L63-L64","name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","line":63,"kind":"instance","docLink":"./SSA/Core/Util.html#LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","doc":""},"header":"n = m → LengthIndexedList α n → LengthIndexedList α m
instance\nLengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat\n{α : Type u_1}\n\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L58-L61","name":"LengthIndexedList.nth","line":58,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.nth","doc":""},"header":"GetElem (LengthIndexedList α n) ℕ α fun _xs i => i < n
def\nLengthIndexedList.nth\n{α : Type u}\n\n{n : ℕ}\n\n(l : LengthIndexedList α n)\n\n(i : Fin n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L53-L56","name":"LengthIndexedList.zipWith","line":53,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.zipWith","doc":""},"header":"α
def\nLengthIndexedList.zipWith\n{α : Type u}\n\n{β : Type u}\n\n{γ : Type u}\n\n{n : ℕ}\n\n(f : α → β → γ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L48-L50","name":"LengthIndexedList.foldl","line":48,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.foldl","doc":""},"header":"LengthIndexedList α n → LengthIndexedList β n → LengthIndexedList γ n
def\nLengthIndexedList.foldl\n{α : Type u}\n\n{β : Type u}\n\n{n : ℕ}\n\n(f : β → α → β)\n\n(acc : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L42-L44","name":"LengthIndexedList.map","line":42,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.map","doc":""},"header":"LengthIndexedList α n → β
def\nLengthIndexedList.map\n{α : Type u}\n\n{β : Type u}\n\n(f : α → β)\n\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L37-L40","name":"LengthIndexedList.fromList","line":37,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.fromList","doc":""},"header":"LengthIndexedList α n → LengthIndexedList β n
def\nLengthIndexedList.fromList\n{α : Type u}\n\n(l : List α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L33-L33","name":"instDecidableEqLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instDecidableEqLengthIndexedList","doc":""},"header":"LengthIndexedList α (List.length l)
instance\ninstDecidableEqLengthIndexedList :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L33-L33","name":"instReprLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instReprLengthIndexedList","doc":""},"header":"{α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
instance\ninstReprLengthIndexedList :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L32-L32","name":"LengthIndexedList.cons","line":32,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.cons","doc":""},"header":"{α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
constructor\nLengthIndexedList.cons\n{α : Type u}\n\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L31-L31","name":"LengthIndexedList.nil","line":31,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.nil","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L30-L33","name":"LengthIndexedList","line":30,"kind":"inductive","docLink":"./SSA/Core/Util.html#LengthIndexedList","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L20-L23","name":"tripleMapM","line":20,"kind":"def","docLink":"./SSA/Core/Util.html#tripleMapM","doc":""},"header":"α → LengthIndexedList α n → LengthIndexedList α (n + 1)
def\ntripleMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n{δ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ → δ)\n\n(triple : m α × m β × m γ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"header":"m δ
def\npairMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ)\n\n(pair : m α × m β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"header":"m γ
def\npairBind\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → m γ)\n\n(pair : m α × m β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L5-L5","name":"uncurry","line":5,"kind":"def","docLink":"./SSA/Core/Util.html#uncurry","doc":""},"header":"m γ
def\nuncurry\n{α : Type u_1}\n\n{β : Type u_2}\n\n{γ : Sort u_3}\n\n(f : α → β → γ)\n\n(pair : α × β)\n :
"}]}
\ No newline at end of file
+{"name":"SSA.Core.Util","instances":[{"typeNames":["LengthIndexedList"],"name":"instReprLengthIndexedList","className":"Repr"},{"typeNames":["Eq","LengthIndexedList"],"name":"instDecidableEqLengthIndexedList","className":"Decidable"},{"typeNames":["LengthIndexedList","Nat","LengthIndexedList","Nat","LT.lt","instLTNat"],"name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","className":"GetElem"}],"imports":["Init","Mathlib.Data.Fin.Basic","Lean"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L78-L80","name":"LengthIndexedList.finRangeIndex","line":78,"kind":"theorem","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRangeIndex","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L70-L75","name":"LengthIndexedList.finRange","line":70,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.finRange","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L66-L68","name":"LengthIndexedList.NatEq","line":66,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.NatEq","doc":""},"header":"γ
def\nLengthIndexedList.NatEq\n{α : Type u}\n\n{n : ℕ}\n\n{m : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L63-L64","name":"LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","line":63,"kind":"instance","docLink":"./SSA/Core/Util.html#LengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat","doc":""},"header":"n = m → LengthIndexedList α n → LengthIndexedList α m
instance\nLengthIndexedList.instGetElemLengthIndexedListNatLtInstLTNat\n{α : Type u_1}\n\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L58-L61","name":"LengthIndexedList.nth","line":58,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.nth","doc":""},"header":"GetElem (LengthIndexedList α n) ℕ α fun _xs i => i < n
def\nLengthIndexedList.nth\n{α : Type u}\n\n{n : ℕ}\n\n(l : LengthIndexedList α n)\n\n(i : Fin n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L53-L56","name":"LengthIndexedList.zipWith","line":53,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.zipWith","doc":""},"header":"α
def\nLengthIndexedList.zipWith\n{α : Type u}\n\n{β : Type u}\n\n{γ : Type u}\n\n{n : ℕ}\n\n(f : α → β → γ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L48-L50","name":"LengthIndexedList.foldl","line":48,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.foldl","doc":""},"header":"LengthIndexedList α n → LengthIndexedList β n → LengthIndexedList γ n
def\nLengthIndexedList.foldl\n{α : Type u}\n\n{β : Type u}\n\n{n : ℕ}\n\n(f : β → α → β)\n\n(acc : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L42-L44","name":"LengthIndexedList.map","line":42,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.map","doc":""},"header":"LengthIndexedList α n → β
def\nLengthIndexedList.map\n{α : Type u}\n\n{β : Type u}\n\n(f : α → β)\n\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L37-L40","name":"LengthIndexedList.fromList","line":37,"kind":"def","docLink":"./SSA/Core/Util.html#LengthIndexedList.fromList","doc":""},"header":"LengthIndexedList α n → LengthIndexedList β n
def\nLengthIndexedList.fromList\n{α : Type u}\n\n(l : List α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L33-L33","name":"instDecidableEqLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instDecidableEqLengthIndexedList","doc":""},"header":"LengthIndexedList α (List.length l)
instance\ninstDecidableEqLengthIndexedList :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L33-L33","name":"instReprLengthIndexedList","line":33,"kind":"instance","docLink":"./SSA/Core/Util.html#instReprLengthIndexedList","doc":""},"header":"{α : Type u_1} → {a : ℕ} → [inst : DecidableEq α] → DecidableEq (LengthIndexedList α a)
instance\ninstReprLengthIndexedList :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L32-L32","name":"LengthIndexedList.cons","line":32,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.cons","doc":""},"header":"{α : Type u_1} → {a : ℕ} → [inst : Repr α] → Repr (LengthIndexedList α a)
constructor\nLengthIndexedList.cons\n{α : Type u}\n\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L31-L31","name":"LengthIndexedList.nil","line":31,"kind":"ctor","docLink":"./SSA/Core/Util.html#LengthIndexedList.nil","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L30-L33","name":"LengthIndexedList","line":30,"kind":"inductive","docLink":"./SSA/Core/Util.html#LengthIndexedList","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L20-L23","name":"tripleMapM","line":20,"kind":"def","docLink":"./SSA/Core/Util.html#tripleMapM","doc":""},"header":"α → LengthIndexedList α n → LengthIndexedList α (n + 1)
def\ntripleMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n{δ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ → δ)\n\n(triple : m α × m β × m γ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"header":"m δ
def\npairMapM\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → γ)\n\n(pair : m α × m β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"header":"m γ
def\npairBind\n{m : Type u_1 → Type u_2}\n\n{α : Type u_1}\n\n{β : Type u_1}\n\n{γ : Type u_1}\n\n[inst : Monad m]\n\n(f : α → β → m γ)\n\n(pair : m α × m β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L5-L5","name":"uncurry","line":5,"kind":"def","docLink":"./SSA/Core/Util.html#uncurry","doc":""},"header":"m γ
def\nuncurry\n{α : Type u_1}\n\n{β : Type u_2}\n\n{γ : Sort u_3}\n\n(f : α → β → γ)\n\n(pair : α × β)\n :
"}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp b/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp
index 16604c0af..63e1ccc5c 100644
--- a/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp
+++ b/declarations/declaration-data-SSA.Core.WellTypedFramework.bmp
@@ -1 +1 @@
-{"name":"SSA.Core.WellTypedFramework","instances":[{"typeNames":["Unit"],"name":"instGoedelUnit","className":"Goedel"},{"typeNames":["Eq","SSA.UserType"],"name":"SSA.instDecidableEqUserType","className":"Decidable"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instReprUserType","className":"Repr"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instCoeUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType_1","className":"Coe"},{"typeNames":["Unit","SSA.UserType"],"name":"SSA.UserType.instCoeUnitUserType","className":"Coe"},{"typeNames":["Prod","SSA.UserType"],"name":"SSA.UserType.instCoeProdUserType_2","className":"Coe"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instInhabitedUserType","className":"Inhabited"},{"typeNames":["SSA.UserType"],"name":"SSA.UserType.instGoedelUserType","className":"Goedel"},{"typeNames":["SSA.Context"],"name":"SSA.instEmptyCollectionContext","className":"EmptyCollection"},{"typeNames":["SSA.EnvC","SSA.Context.empty"],"name":"SSA.instEmptyCollectionEnvCEmpty","className":"EmptyCollection"}],"imports":["Init","SSA.Core.Framework","Mathlib.Data.Option.Basic","Mathlib.Data.List.AList"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L443-L443","name":"Parser.Attr.TypedUserSemantics.regionCod","line":443,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionCod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L442-L442","name":"Parser.Attr.TypedUserSemantics.regionDom","line":442,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionDom","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L441-L441","name":"Parser.Attr.TypedUserSemantics.outUserType","line":441,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L440-L440","name":"Parser.Attr.TypedUserSemantics.argUserType","line":440,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L439-L439","name":"Parser.Attr.TypedUserSemantics.eval","line":439,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L438-L438","name":"Parser.Attr.Option.bind","line":438,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Option.bind","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L437-L437","name":"Parser.Attr.Bind.bind","line":437,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Bind.bind","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L420-L420","name":"EDSL.«term[dsl_region|_]»","line":420,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_region|_]»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L413-L413","name":"EDSL.«term[dsl_bb|_]»","line":413,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.«term[dsl_bb|_]»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L392-L410","name":"EDSL.elabStxExpr","line":392,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStxExpr","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L383-L390","name":"EDSL.elabBB","line":383,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabBB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L376-L381","name":"EDSL.elabStmt.go","line":376,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStmt.go","doc":""},"header":"γ
partial def\nEDSL.elabStmt.go\n(ret : Lean.TSyntax `dsl_var)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L373-L381","name":"EDSL.elabStmt","line":373,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStmt","doc":""},"header":"List (Lean.TSyntax `dsl_assign) → EDSL.SSAElabM (Lean.TSyntax `term)
partial def\nEDSL.elabStmt\n(ret : Lean.TSyntax `dsl_var)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L357-L364","name":"EDSL.elabAssign","line":357,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabAssign","doc":""},"header":"Lean.TSyntax `dsl_stmt → EDSL.SSAElabM (Lean.TSyntax `term)
partial def\nEDSL.elabAssign\n(mkNext : EDSL.SSAElabM (Lean.TSyntax `term))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L348-L355","name":"EDSL.elabRgn","line":348,"kind":"opaque","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabRgn","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L338-L344","name":"EDSL.elabStxVar","line":338,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.elabStxVar","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L334-L336","name":"EDSL.idxToContextVar","line":334,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.idxToContextVar","doc":"convert a de-bruijn into a intrinsically well typed context variable 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`dsl_assign → EDSL.SSAElabM (Lean.TSyntax `term)
def\nSSA.TSSA.evalM\n{Op : Type}\n\n{β : Type}\n\n{M : Type → Type}\n\n[inst : Goedel β]\n\n[TUSM : SSA.TypedUserSemanticsM Op β M]\n\n[inst : Monad M]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L235-L238","name":"SSA.TSSAIndex.evalM","line":235,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.evalM","doc":""},"header":"SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.evalM M i
def\nSSA.TSSAIndex.evalM\n{β : Type}\n\n[inst : Goedel β]\n\n(M : Type → Type)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L230-L230","name":"SSA.TypedUserSemanticsM.evalM","line":230,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.evalM","doc":""},"header":"SSA.TSSAIndex β → Type
abbrev\nSSA.TypedUserSemanticsM.evalM\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemanticsM Op β M]\n\n(o : Op)\n\n(arg : SSA.UserType.toType (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o)))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L229-L229","name":"SSA.TypedUserSemanticsM.mk","line":229,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.mk","doc":""},"header":"constructor\nSSA.TypedUserSemanticsM.mk\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(evalM : (o : Op) →\n SSA.UserType.toType (SSA.OperationTypes.argUserType o) →\n (SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o))) →\n M (SSA.UserType.toType (SSA.OperationTypes.outUserType o)))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L229-L232","name":"SSA.TypedUserSemanticsM","line":229,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM","doc":""},"header":"SSA.TypedUserSemanticsM Op β M
class\nSSA.TypedUserSemanticsM\n(Op : Type)\n\n(β : outParam Type)\n\n(M : outParam (Type → Type))\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L206-L226","name":"SSA.TSSA.eval","line":206,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.eval","doc":""},"header":"def\nSSA.TSSA.eval\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.TypedUserSemantics Op β]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L202-L203","name":"SSA.TSSA.var","line":202,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.var","doc":"a variable. "},"header":"SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.eval i
constructor\nSSA.TSSA.var\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L201-L201","name":"SSA.TSSA.rgnvar","line":201,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgnvar","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)
constructor\nSSA.TSSA.rgnvar\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(v : SSA.Context.Var Γ (SSA.UserType.region T₁ T₂))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L199-L199","name":"SSA.TSSA.rgn0","line":199,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn0","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.REGION T₁ T₂)
constructor\nSSA.TSSA.rgn0\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L196-L197","name":"SSA.TSSA.rgn","line":196,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.REGION SSA.UserType.unit SSA.UserType.unit)
constructor\nSSA.TSSA.rgn\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(arg : SSA.Var)\n\n{dom : SSA.UserType β}\n\n{cod : SSA.UserType β}\n\n(body : SSA.TSSA Op (SSA.Context.snoc Γ arg dom) (SSA.TSSAIndex.STMT cod))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L192-L194","name":"SSA.TSSA.op","line":192,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.op","doc":"op (arg) { rgn } rgn is an argument to the operation "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.REGION dom cod)
constructor\nSSA.TSSA.op\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(o : Op)\n\n(arg : SSA.Context.Var Γ (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.TSSA Op SSA.Context.empty (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom o) (SSA.OperationTypes.rgnCod o)))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L190-L191","name":"SSA.TSSA.triple","line":190,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.triple","doc":"(fst, snd, third) "},"header":"constructor\nSSA.TSSA.triple\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n{T₃ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n\n(third : SSA.Context.Var Γ T₃)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L188-L189","name":"SSA.TSSA.pair","line":188,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.pair","doc":"(fst, snd) "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.triple T₁ T₂ T₃))
constructor\nSSA.TSSA.pair\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L186-L187","name":"SSA.TSSA.ret","line":186,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.ret","doc":"above; ret v "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.pair T₁ T₂))
constructor\nSSA.TSSA.ret\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L184-L185","name":"SSA.TSSA.unit","line":184,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.unit","doc":"build a unit value "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T)
constructor\nSSA.TSSA.unit\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L179-L183","name":"SSA.TSSA.assign","line":179,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.assign","doc":"lhs := rhs; rest of the program "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR SSA.UserType.unit)
constructor\nSSA.TSSA.assign\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T' : SSA.UserType β}\n\n{T : SSA.UserType β}\n\n(lhs : SSA.Var)\n\n(rhs : SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T))\n\n(rest : SSA.TSSA Op (SSA.Context.snoc Γ lhs T) (SSA.TSSAIndex.STMT T'))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L177-L203","name":"SSA.TSSA","line":177,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T')
inductive\nSSA.TSSA\n(Op : Type)\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n(Γ : SSA.Context β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L170-L173","name":"SSA.TSSAIndex.eval","line":170,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L166-L167","name":"SSA.TSSAIndex.REGION","line":166,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.REGION","doc":"a lambda "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L164-L165","name":"SSA.TSSAIndex.STMT","line":164,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.STMT","doc":"A statement eventually returning a value of type `β` "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L162-L163","name":"SSA.TSSAIndex.EXPR","line":162,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.EXPR","doc":"Ways of making an RHS "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L161-L167","name":"SSA.TSSAIndex","line":161,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L159-L159","name":"SSA.instEmptyCollectionEnvCEmpty","line":159,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionEnvCEmpty","doc":""},"header":"SSA.TSSAIndex β → Type
instance\nSSA.instEmptyCollectionEnvCEmpty\n{β : Type}\n\n[inst : Goedel β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L156-L157","name":"SSA.EnvC.empty","line":156,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC.empty","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L151-L154","name":"SSA.Context.Var.emptyElim","line":151,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.emptyElim","doc":""},"header":"EmptyCollection (SSA.EnvC SSA.Context.empty)
def\nSSA.Context.Var.emptyElim\n{P : Sort u_1}\n\n{β : Type}\n\n{a : SSA.UserType β}\n\n(v : SSA.Context.Var SSA.Context.empty a)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L148-L149","name":"SSA.EnvC","line":148,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L145-L146","name":"SSA.instEmptyCollectionContext","line":145,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionContext","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L142-L143","name":"SSA.Context.Var.last","line":142,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.last","doc":""},"header":"P
constructor\nSSA.Context.Var.last\n{β : Type}\n\n{Γ : SSA.Context β}\n\n{v : SSA.Var}\n\n{a : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L140-L141","name":"SSA.Context.Var.prev","line":140,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.prev","doc":""},"header":"SSA.Context.Var (SSA.Context.snoc Γ v a) a
constructor\nSSA.Context.Var.prev\n{β : Type}\n\n{a : SSA.UserType β}\n\n{v' : SSA.Var}\n\n{a' : SSA.UserType β}\n\n{Γ : SSA.Context β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L139-L143","name":"SSA.Context.Var","line":139,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L137-L137","name":"SSA.Context.snoc","line":137,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.snoc","doc":""},"header":"SSA.Context.Var Γ a → SSA.Context.Var (SSA.Context.snoc Γ v' a') a
constructor\nSSA.Context.snoc\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L136-L136","name":"SSA.Context.empty","line":136,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.empty","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L135-L137","name":"SSA.Context","line":135,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L132-L132","name":"SSA.TypedUserSemantics.eval","line":132,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.eval","doc":""},"header":"SSA.Context β → SSA.Var → SSA.UserType β → SSA.Context β
abbrev\nSSA.TypedUserSemantics.eval\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemantics Op β]\n\n(o : Op)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L131-L131","name":"SSA.TypedUserSemantics.mk","line":131,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.mk","doc":""},"header":"constructor\nSSA.TypedUserSemantics.mk\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(eval : (o : Op) →\n ⟦SSA.OperationTypes.argUserType o⟧ →\n (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L131-L133","name":"SSA.TypedUserSemantics","line":131,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics","doc":""},"header":"class\nSSA.TypedUserSemantics\n(Op : Type)\n\n(β : outParam Type)\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L129-L129","name":"SSA.OperationTypes.outUserType","line":129,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.outUserType","doc":""},"header":"abbrev\nSSA.OperationTypes.outUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L128-L128","name":"SSA.OperationTypes.rgnCod","line":128,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnCod","doc":""},"header":"Op → SSA.UserType β
abbrev\nSSA.OperationTypes.rgnCod\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L127-L127","name":"SSA.OperationTypes.rgnDom","line":127,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnDom","doc":""},"header":"Op → SSA.UserType β
abbrev\nSSA.OperationTypes.rgnDom\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L126-L126","name":"SSA.OperationTypes.argUserType","line":126,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.argUserType","doc":""},"header":"Op → SSA.UserType β
abbrev\nSSA.OperationTypes.argUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L125-L125","name":"SSA.OperationTypes.mk","line":125,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.mk","doc":""},"header":"Op → SSA.UserType β
constructor\nSSA.OperationTypes.mk\n{Op : Type}\n\n{β : outParam Type}\n\n(argUserType : Op → SSA.UserType β)\n\n(rgnDom : Op → SSA.UserType β)\n\n(rgnCod : Op → SSA.UserType β)\n\n(outUserType : Op → SSA.UserType β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L125-L129","name":"SSA.OperationTypes","line":125,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes","doc":"Typeclass for a user semantics of `Op`, with base type `β`.\nThe type β has to implement the `Goedel` typeclass, mapping into `Lean` types.\nThis typeclass has several arguments that have to be defined to give semantics to\nthe operations of type `Op`:\n* `argUserType` and `outUserType`, functions of type `Op → UserType β`, give the type of the\n arguments and the output of the operation.\n* `rgnDom` and `rgnCod`, functions of type `Op → UserType β`, give the type of the\n domain and codomain of regions within the operation.\n* `eval` gives the actual evaluation semantics of the operation, by defining a function for\n every operation `o : Op` of type `toType (argUserType o) → (toType (rgnDom o) → toType (rgnCod o)) → toType (outUserType o)`.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L109-L110","name":"SSA.UserType.trdTriple","line":109,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.trdTriple","doc":""},"header":"SSA.OperationTypes Op β
def\nSSA.UserType.trdTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L106-L107","name":"SSA.UserType.sndTriple","line":106,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndTriple","doc":""},"header":"⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₃⟧
def\nSSA.UserType.sndTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L103-L104","name":"SSA.UserType.fstTriple","line":103,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstTriple","doc":""},"header":"⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₂⟧
def\nSSA.UserType.fstTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L100-L101","name":"SSA.UserType.sndPair","line":100,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndPair","doc":""},"header":"⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₁⟧
def\nSSA.UserType.sndPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L97-L98","name":"SSA.UserType.fstPair","line":97,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstPair","doc":""},"header":"⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₂⟧
def\nSSA.UserType.fstPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L94-L95","name":"SSA.UserType.mkTriple","line":94,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkTriple","doc":""},"header":"⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₁⟧
def\nSSA.UserType.mkTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L91-L92","name":"SSA.UserType.mkPair","line":91,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkPair","doc":""},"header":"def\nSSA.UserType.mkPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L88-L89","name":"SSA.UserType.instGoedelUserType","line":88,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instGoedelUserType","doc":""},"header":"instance\nSSA.UserType.instGoedelUserType\n{β : Type}\n\n[inst : Goedel β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L81-L86","name":"SSA.UserType.toType","line":81,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.toType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L78-L78","name":"SSA.UserType.instInhabitedUserType","line":78,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instInhabitedUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L74-L76","name":"SSA.UserType.instCoeProdUserType_2","line":74,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_2","doc":""},"header":"Goedel (SSA.UserType β)
instance\nSSA.UserType.instCoeProdUserType_2\n{α : Type u_1}\n\n{β : Type}\n\n{α' : Type u_2}\n\n[A : Coe α (SSA.UserType β)]\n\n[A' : Coe α' (SSA.UserType β)]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L71-L72","name":"SSA.UserType.instCoeUnitUserType","line":71,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUnitUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L68-L69","name":"SSA.UserType.instCoeProdUserType_1","line":68,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_1","doc":""},"header":"Coe (α × α') (SSA.UserType β)
instance\nSSA.UserType.instCoeProdUserType_1\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L64-L65","name":"SSA.UserType.instCoeProdUserType","line":64,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType","doc":""},"header":"Coe (SSA.UserType β × SSA.UserType β × SSA.UserType β) (SSA.UserType β)
instance\nSSA.UserType.instCoeProdUserType\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L62-L62","name":"SSA.UserType.instCoeUserType","line":62,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L59-L60","name":"SSA.UserType.UserType.ofUnit","line":59,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofUnit","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L55-L56","name":"SSA.UserType.UserType.ofTriple","line":55,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofTriple","doc":""},"header":"Coe (SSA.UserType β × SSA.UserType β) (SSA.UserType β)
def\nSSA.UserType.UserType.ofTriple\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L51-L52","name":"SSA.UserType.UserType.ofPair","line":51,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofPair","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L48-L48","name":"SSA.UserType.UserType.ofBase","line":48,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofBase","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L35-L43","name":"SSA.UserType.instReprUserType.go","line":35,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType.go","doc":""},"header":"SSA.UserType β × SSA.UserType β × SSA.UserType β → SSA.UserType β
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"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L33-L44","name":"SSA.UserType.instReprUserType","line":33,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L28-L28","name":"SSA.instDecidableEqUserType","line":28,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instDecidableEqUserType","doc":""},"header":"SSA.UserType β → ℕ → Lean.Format
instance\nSSA.instDecidableEqUserType :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L27-L27","name":"SSA.UserType.region","line":27,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.region","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L26-L26","name":"SSA.UserType.unit","line":26,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.unit","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L25-L25","name":"SSA.UserType.triple","line":25,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.triple","doc":""},"header":"{β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
constructor\nSSA.UserType.triple\n{β : Type}\n :
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\ No newline at end of file
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`dsl_assign → EDSL.SSAElabM (Lean.TSyntax `term)
def\nSSA.TSSA.evalM\n{Op : Type}\n\n{β : Type}\n\n{M : Type → Type}\n\n[inst : Goedel β]\n\n[TUSM : SSA.TypedUserSemanticsM Op β M]\n\n[inst : Monad M]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L235-L238","name":"SSA.TSSAIndex.evalM","line":235,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.evalM","doc":""},"header":"SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.evalM M i
def\nSSA.TSSAIndex.evalM\n{β : Type}\n\n[inst : Goedel β]\n\n(M : Type → Type)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L230-L230","name":"SSA.TypedUserSemanticsM.evalM","line":230,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.evalM","doc":""},"header":"SSA.TSSAIndex β → Type
abbrev\nSSA.TypedUserSemanticsM.evalM\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemanticsM Op β M]\n\n(o : Op)\n\n(arg : SSA.UserType.toType (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o)))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L229-L229","name":"SSA.TypedUserSemanticsM.mk","line":229,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM.mk","doc":""},"header":"constructor\nSSA.TypedUserSemanticsM.mk\n{Op : Type}\n\n{β : outParam Type}\n\n{M : outParam (Type → Type)}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(evalM : (o : Op) →\n SSA.UserType.toType (SSA.OperationTypes.argUserType o) →\n (SSA.UserType.toType (SSA.OperationTypes.rgnDom o) → M (SSA.UserType.toType (SSA.OperationTypes.rgnCod o))) →\n M (SSA.UserType.toType (SSA.OperationTypes.outUserType o)))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L229-L232","name":"SSA.TypedUserSemanticsM","line":229,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemanticsM","doc":""},"header":"SSA.TypedUserSemanticsM Op β M
class\nSSA.TypedUserSemanticsM\n(Op : Type)\n\n(β : outParam Type)\n\n(M : outParam (Type → Type))\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L206-L226","name":"SSA.TSSA.eval","line":206,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.eval","doc":""},"header":"def\nSSA.TSSA.eval\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.TypedUserSemantics Op β]\n\n{Γ : SSA.Context β}\n\n{i : SSA.TSSAIndex β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L202-L203","name":"SSA.TSSA.var","line":202,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.var","doc":"a variable. "},"header":"SSA.TSSA Op Γ i → SSA.EnvC Γ → SSA.TSSAIndex.eval i
constructor\nSSA.TSSA.var\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L201-L201","name":"SSA.TSSA.rgnvar","line":201,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgnvar","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T)
constructor\nSSA.TSSA.rgnvar\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(v : SSA.Context.Var Γ (SSA.UserType.region T₁ T₂))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L199-L199","name":"SSA.TSSA.rgn0","line":199,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn0","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.REGION T₁ T₂)
constructor\nSSA.TSSA.rgn0\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L196-L197","name":"SSA.TSSA.rgn","line":196,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.rgn","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.REGION SSA.UserType.unit SSA.UserType.unit)
constructor\nSSA.TSSA.rgn\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(arg : SSA.Var)\n\n{dom : SSA.UserType β}\n\n{cod : SSA.UserType β}\n\n(body : SSA.TSSA Op (SSA.Context.snoc Γ arg dom) (SSA.TSSAIndex.STMT cod))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L192-L194","name":"SSA.TSSA.op","line":192,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.op","doc":"op (arg) { rgn } rgn is an argument to the operation "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.REGION dom cod)
constructor\nSSA.TSSA.op\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n(o : Op)\n\n(arg : SSA.Context.Var Γ (SSA.OperationTypes.argUserType o))\n\n(rgn : SSA.TSSA Op SSA.Context.empty (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom o) (SSA.OperationTypes.rgnCod o)))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L190-L191","name":"SSA.TSSA.triple","line":190,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.triple","doc":"(fst, snd, third) "},"header":"constructor\nSSA.TSSA.triple\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n{T₃ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n\n(third : SSA.Context.Var Γ T₃)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L188-L189","name":"SSA.TSSA.pair","line":188,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.pair","doc":"(fst, snd) "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.triple T₁ T₂ T₃))
constructor\nSSA.TSSA.pair\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T₁ : SSA.UserType β}\n\n{T₂ : SSA.UserType β}\n\n(fst : SSA.Context.Var Γ T₁)\n\n(snd : SSA.Context.Var Γ T₂)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L186-L187","name":"SSA.TSSA.ret","line":186,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.ret","doc":"above; ret v "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR (SSA.UserType.pair T₁ T₂))
constructor\nSSA.TSSA.ret\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T : SSA.UserType β}\n\n(v : SSA.Context.Var Γ T)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L184-L185","name":"SSA.TSSA.unit","line":184,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.unit","doc":"build a unit value "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T)
constructor\nSSA.TSSA.unit\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L179-L183","name":"SSA.TSSA.assign","line":179,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA.assign","doc":"lhs := rhs; rest of the program "},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR SSA.UserType.unit)
constructor\nSSA.TSSA.assign\n{Op : Type}\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n{Γ : SSA.Context β}\n\n{T' : SSA.UserType β}\n\n{T : SSA.UserType β}\n\n(lhs : SSA.Var)\n\n(rhs : SSA.TSSA Op Γ (SSA.TSSAIndex.EXPR T))\n\n(rest : SSA.TSSA Op (SSA.Context.snoc Γ lhs T) (SSA.TSSAIndex.STMT T'))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L177-L203","name":"SSA.TSSA","line":177,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSA","doc":""},"header":"SSA.TSSA Op Γ (SSA.TSSAIndex.STMT T')
inductive\nSSA.TSSA\n(Op : Type)\n\n{β : Type}\n\n[inst : Goedel β]\n\n[inst : SSA.OperationTypes Op β]\n\n(Γ : SSA.Context β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L170-L173","name":"SSA.TSSAIndex.eval","line":170,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L166-L167","name":"SSA.TSSAIndex.REGION","line":166,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.REGION","doc":"a lambda "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L164-L165","name":"SSA.TSSAIndex.STMT","line":164,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.STMT","doc":"A statement eventually returning a value of type `β` "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L162-L163","name":"SSA.TSSAIndex.EXPR","line":162,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex.EXPR","doc":"Ways of making an RHS "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L161-L167","name":"SSA.TSSAIndex","line":161,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TSSAIndex","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L159-L159","name":"SSA.instEmptyCollectionEnvCEmpty","line":159,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionEnvCEmpty","doc":""},"header":"SSA.TSSAIndex β → Type
instance\nSSA.instEmptyCollectionEnvCEmpty\n{β : Type}\n\n[inst : Goedel β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L156-L157","name":"SSA.EnvC.empty","line":156,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC.empty","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L151-L154","name":"SSA.Context.Var.emptyElim","line":151,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.emptyElim","doc":""},"header":"EmptyCollection (SSA.EnvC SSA.Context.empty)
def\nSSA.Context.Var.emptyElim\n{P : Sort u_1}\n\n{β : Type}\n\n{a : SSA.UserType β}\n\n(v : SSA.Context.Var SSA.Context.empty a)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L148-L149","name":"SSA.EnvC","line":148,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.EnvC","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L145-L146","name":"SSA.instEmptyCollectionContext","line":145,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instEmptyCollectionContext","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L142-L143","name":"SSA.Context.Var.last","line":142,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.last","doc":""},"header":"P
constructor\nSSA.Context.Var.last\n{β : Type}\n\n{Γ : SSA.Context β}\n\n{v : SSA.Var}\n\n{a : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L140-L141","name":"SSA.Context.Var.prev","line":140,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var.prev","doc":""},"header":"SSA.Context.Var (SSA.Context.snoc Γ v a) a
constructor\nSSA.Context.Var.prev\n{β : Type}\n\n{a : SSA.UserType β}\n\n{v' : SSA.Var}\n\n{a' : SSA.UserType β}\n\n{Γ : SSA.Context β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L139-L143","name":"SSA.Context.Var","line":139,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.Var","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L137-L137","name":"SSA.Context.snoc","line":137,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.snoc","doc":""},"header":"SSA.Context.Var Γ a → SSA.Context.Var (SSA.Context.snoc Γ v' a') a
constructor\nSSA.Context.snoc\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L136-L136","name":"SSA.Context.empty","line":136,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context.empty","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L135-L137","name":"SSA.Context","line":135,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.Context","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L132-L132","name":"SSA.TypedUserSemantics.eval","line":132,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.eval","doc":""},"header":"SSA.Context β → SSA.Var → SSA.UserType β → SSA.Context β
abbrev\nSSA.TypedUserSemantics.eval\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[self : SSA.TypedUserSemantics Op β]\n\n(o : Op)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L131-L131","name":"SSA.TypedUserSemantics.mk","line":131,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics.mk","doc":""},"header":"constructor\nSSA.TypedUserSemantics.mk\n{Op : Type}\n\n{β : outParam Type}\n\n[inst : Goedel β]\n\n[toOperationTypes : SSA.OperationTypes Op β]\n\n(eval : (o : Op) →\n ⟦SSA.OperationTypes.argUserType o⟧ →\n (⟦SSA.OperationTypes.rgnDom o⟧ → ⟦SSA.OperationTypes.rgnCod o⟧) → ⟦SSA.OperationTypes.outUserType o⟧)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L131-L133","name":"SSA.TypedUserSemantics","line":131,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.TypedUserSemantics","doc":""},"header":"class\nSSA.TypedUserSemantics\n(Op : Type)\n\n(β : outParam Type)\n\n[inst : Goedel β]\nextends\nSSA.OperationTypes\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L129-L129","name":"SSA.OperationTypes.outUserType","line":129,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.outUserType","doc":""},"header":"abbrev\nSSA.OperationTypes.outUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L128-L128","name":"SSA.OperationTypes.rgnCod","line":128,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnCod","doc":""},"header":"Op → SSA.UserType β
abbrev\nSSA.OperationTypes.rgnCod\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L127-L127","name":"SSA.OperationTypes.rgnDom","line":127,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.rgnDom","doc":""},"header":"Op → SSA.UserType β
abbrev\nSSA.OperationTypes.rgnDom\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L126-L126","name":"SSA.OperationTypes.argUserType","line":126,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.argUserType","doc":""},"header":"Op → SSA.UserType β
abbrev\nSSA.OperationTypes.argUserType\n{Op : Type}\n\n{β : outParam Type}\n\n[self : SSA.OperationTypes Op β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L125-L125","name":"SSA.OperationTypes.mk","line":125,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes.mk","doc":""},"header":"Op → SSA.UserType β
constructor\nSSA.OperationTypes.mk\n{Op : Type}\n\n{β : outParam Type}\n\n(argUserType : Op → SSA.UserType β)\n\n(rgnDom : Op → SSA.UserType β)\n\n(rgnCod : Op → SSA.UserType β)\n\n(outUserType : Op → SSA.UserType β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L125-L129","name":"SSA.OperationTypes","line":125,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#SSA.OperationTypes","doc":"Typeclass for a user semantics of `Op`, with base type `β`.\nThe type β has to implement the `Goedel` typeclass, mapping into `Lean` types.\nThis typeclass has several arguments that have to be defined to give semantics to\nthe operations of type `Op`:\n* `argUserType` and `outUserType`, functions of type `Op → UserType β`, give the type of the\n arguments and the output of the operation.\n* `rgnDom` and `rgnCod`, functions of type `Op → UserType β`, give the type of the\n domain and codomain of regions within the operation.\n* `eval` gives the actual evaluation semantics of the operation, by defining a function for\n every operation `o : Op` of type `toType (argUserType o) → (toType (rgnDom o) → toType (rgnCod o)) → toType (outUserType o)`.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L109-L110","name":"SSA.UserType.trdTriple","line":109,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.trdTriple","doc":""},"header":"SSA.OperationTypes Op β
def\nSSA.UserType.trdTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L106-L107","name":"SSA.UserType.sndTriple","line":106,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndTriple","doc":""},"header":"⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₃⟧
def\nSSA.UserType.sndTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L103-L104","name":"SSA.UserType.fstTriple","line":103,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstTriple","doc":""},"header":"⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₂⟧
def\nSSA.UserType.fstTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L100-L101","name":"SSA.UserType.sndPair","line":100,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.sndPair","doc":""},"header":"⟦SSA.UserType.triple k₁ k₂ k₃⟧ → ⟦k₁⟧
def\nSSA.UserType.sndPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L97-L98","name":"SSA.UserType.fstPair","line":97,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.fstPair","doc":""},"header":"⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₂⟧
def\nSSA.UserType.fstPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L94-L95","name":"SSA.UserType.mkTriple","line":94,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkTriple","doc":""},"header":"⟦SSA.UserType.pair k₁ k₂⟧ → ⟦k₁⟧
def\nSSA.UserType.mkTriple\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n\n{k₃ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L91-L92","name":"SSA.UserType.mkPair","line":91,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.mkPair","doc":""},"header":"def\nSSA.UserType.mkPair\n{β : Type}\n\n[inst : Goedel β]\n\n{k₁ : SSA.UserType β}\n\n{k₂ : SSA.UserType β}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L88-L89","name":"SSA.UserType.instGoedelUserType","line":88,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instGoedelUserType","doc":""},"header":"instance\nSSA.UserType.instGoedelUserType\n{β : Type}\n\n[inst : Goedel β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L81-L86","name":"SSA.UserType.toType","line":81,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.toType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L78-L78","name":"SSA.UserType.instInhabitedUserType","line":78,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instInhabitedUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L74-L76","name":"SSA.UserType.instCoeProdUserType_2","line":74,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_2","doc":""},"header":"Goedel (SSA.UserType β)
instance\nSSA.UserType.instCoeProdUserType_2\n{α : Type u_1}\n\n{β : Type}\n\n{α' : Type u_2}\n\n[A : Coe α (SSA.UserType β)]\n\n[A' : Coe α' (SSA.UserType β)]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L71-L72","name":"SSA.UserType.instCoeUnitUserType","line":71,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUnitUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L68-L69","name":"SSA.UserType.instCoeProdUserType_1","line":68,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType_1","doc":""},"header":"Coe (α × α') (SSA.UserType β)
instance\nSSA.UserType.instCoeProdUserType_1\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L64-L65","name":"SSA.UserType.instCoeProdUserType","line":64,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeProdUserType","doc":""},"header":"Coe (SSA.UserType β × SSA.UserType β × SSA.UserType β) (SSA.UserType β)
instance\nSSA.UserType.instCoeProdUserType\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L62-L62","name":"SSA.UserType.instCoeUserType","line":62,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instCoeUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L59-L60","name":"SSA.UserType.UserType.ofUnit","line":59,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofUnit","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L55-L56","name":"SSA.UserType.UserType.ofTriple","line":55,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofTriple","doc":""},"header":"Coe (SSA.UserType β × SSA.UserType β) (SSA.UserType β)
def\nSSA.UserType.UserType.ofTriple\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L51-L52","name":"SSA.UserType.UserType.ofPair","line":51,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofPair","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L48-L48","name":"SSA.UserType.UserType.ofBase","line":48,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.UserType.ofBase","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L35-L43","name":"SSA.UserType.instReprUserType.go","line":35,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType.go","doc":""},"header":"SSA.UserType β × SSA.UserType β × SSA.UserType β → SSA.UserType β
def\nSSA.UserType.instReprUserType.go\n{β : Type}\n\n[inst : Repr β]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L33-L44","name":"SSA.UserType.instReprUserType","line":33,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.instReprUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L28-L28","name":"SSA.instDecidableEqUserType","line":28,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#SSA.instDecidableEqUserType","doc":""},"header":"SSA.UserType β → ℕ → Lean.Format
instance\nSSA.instDecidableEqUserType :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L27-L27","name":"SSA.UserType.region","line":27,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.region","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L26-L26","name":"SSA.UserType.unit","line":26,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.unit","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L25-L25","name":"SSA.UserType.triple","line":25,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.triple","doc":""},"header":"{β : Type} → [inst : DecidableEq β] → DecidableEq (SSA.UserType β)
constructor\nSSA.UserType.triple\n{β : Type}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L24-L24","name":"SSA.UserType.pair","line":24,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.pair","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L23-L23","name":"SSA.UserType.base","line":23,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType.base","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L22-L28","name":"SSA.UserType","line":22,"kind":"inductive","docLink":"./SSA/Core/WellTypedFramework.html#SSA.UserType","doc":"A `UserType` is a type of user-defined values in `SSA` programs.\nThe main objective of `UserType` is to be able to have decidability\nproperties, like decidable equality, for the restricted set of types\nin the user-defined semantics, since Lean's `Type` does not have these\nproperties. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L13-L13","name":"instGoedelUnit","line":13,"kind":"instance","docLink":"./SSA/Core/WellTypedFramework.html#instGoedelUnit","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L11-L11","name":"«term⟦_⟧»","line":11,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#«term⟦_⟧»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L8-L8","name":"Goedel.toType","line":8,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.toType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L7-L7","name":"Goedel.mk","line":7,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.mk","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L7-L8","name":"Goedel","line":7,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#Goedel","doc":"Typeclass for a `baseType` which is a Gödel code of\nLean types. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L1-L1","name":"EDSL.SSAElabContext.mk","line":1,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#EDSL.SSAElabContext.mk","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp
index a7d85b422..328085571 100644
--- a/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp
+++ b/declarations/declaration-data-SSA.Projects.InstCombine.Alive.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.InstCombine.Alive","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Tactic","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.AliveStatements","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5422-L5458","name":"alive_InstCombineShift__724","line":5422,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__724","doc":""},"header":"SSA.UserType β → SSA.UserType β → SSA.UserType β → SSA.UserType β
theorem\nalive_InstCombineShift__724 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5374-L5409","name":"alive_InstCombineShift__582","line":5374,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__582","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (A C2 C1 : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__582 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5323-L5361","name":"alive_InstCombineShift__497'''","line":5323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497'''","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__497''' :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5271-L5309","name":"alive_InstCombineShift__497","line":5271,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_InstCombineShift__497 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5207-L5257","name":"alive_InstCombineShift__476","line":5207,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__476","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_InstCombineShift__476 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5143-L5188","name":"alive_InstCombineShift__458","line":5143,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__458","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))))\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
theorem\nalive_InstCombineShift__458 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5076-L5126","name":"alive_InstCombineShift__440","line":5076,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__440","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
theorem\nalive_InstCombineShift__440 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L5012-L5057","name":"alive_InstCombineShift__422_2","line":5012,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
theorem\nalive_InstCombineShift__422_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4950-L4995","name":"alive_InstCombineShift__422_1","line":4950,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_1","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
theorem\nalive_InstCombineShift__422_1 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4897-L4933","name":"alive_InstCombineShift__351","line":4897,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__351","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
theorem\nalive_InstCombineShift__351 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4849-L4884","name":"alive_InstCombineShift__279","line":4849,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__279","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__279 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4801-L4836","name":"alive_InstCombineShift__239","line":4801,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__239","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__239 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4761-L4788","name":"alive_Select_1105","line":4761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1105","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_Select_1105 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4723-L4750","name":"alive_Select_1100","line":4723,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1100","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
theorem\nalive_Select_1100 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4684-L4712","name":"alive_Select_852","line":4684,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_852","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
theorem\nalive_Select_852 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4645-L4673","name":"alive_Select_851","line":4645,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_851","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_Select_851 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4602-L4634","name":"alive_Select_859","line":4602,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_859","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last\n (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_Select_859 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4561-L4590","name":"alive_Select_855","line":4561,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_855","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_Select_855 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4518-L4550","name":"alive_Select_850","line":4518,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_850","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_Select_850 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4477-L4506","name":"alive_Select_846","line":4477,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_846","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_Select_846 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4438-L4466","name":"alive_1030","line":4438,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_1030","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_1030 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4393-L4427","name":"alive_891","line":4393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_891","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_891 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4344-L4380","name":"alive_820'","line":4344,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820'","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x N : Bitvec 13),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.udiv 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_820' :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4293-L4329","name":"alive_820","line":4293,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_820 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4244-L4278","name":"alive_290__292","line":4244,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_290__292","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_290__292 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4203-L4231","name":"alive_283","line":4203,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_283","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_283 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4152-L4192","name":"alive_276_2","line":4152,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_276_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4096-L4136","name":"alive_276","line":4096,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_276 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L4046-L4080","name":"alive_275_2","line":4046,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_275_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3998-L4032","name":"alive_275","line":3998,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_275 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3944-L3984","name":"alive_239","line":3944,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_239","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_239 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3891-L3929","name":"alive_229","line":3891,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_229","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
theorem\nalive_229 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3840-L3876","name":"alive_160","line":3840,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_160","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_160 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3799-L3827","name":"alive_152","line":3799,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_152","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_152 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3752-L3788","name":"alive_AndOrXor_2663","line":3752,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2663","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AndOrXor_2663 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3690-L3737","name":"alive_AndOrXor_2658","line":3690,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2658","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2658 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3636-L3672","name":"alive_AndOrXor_2647","line":3636,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2647","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
theorem\nalive_AndOrXor_2647 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3578-L3621","name":"alive_AndOrXor_2627","line":3578,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2627","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2627 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3513-L3561","name":"alive_AndOrXor_2617","line":3513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2617","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a c_1 b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const c_1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const c_1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2617 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3446-L3494","name":"alive_AndOrXor_2607","line":3446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2607","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2607 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3391-L3427","name":"alive_AndOrXor_2595","line":3391,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2595","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2595 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3341-L3376","name":"alive_AndOrXor_2587__BAA___B__A","line":3341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2587__BAA___B__A","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2587__BAA___B__A :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3292-L3327","name":"alive_AndOrXor_2581__BAB___A__B","line":3292,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2581__BAB___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2581__BAB___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3242-L3278","name":"alive_AndOrXor_2486","line":3242,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2486","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2486 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3193-L3229","name":"alive_AndOrXor_2475","line":3193,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2475","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2475 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3147-L3180","name":"alive_AndOrXor_2453","line":3147,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2453","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2453 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3095-L3134","name":"alive_AndOrXor_2443","line":3095,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2443","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
theorem\nalive_AndOrXor_2443 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L3041-L3080","name":"alive_AndOrXor_2430","line":3041,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2430","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2430 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2987-L3026","name":"alive_AndOrXor_2429","line":2987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2429","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2429 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2930-L2972","name":"alive_AndOrXor_2417","line":2930,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2417","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2417 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2872-L2914","name":"alive_AndOrXor_2416","line":2872,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2416","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2416 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2820-L2856","name":"alive_AndOrXor_2367","line":2820,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2367","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2367 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2764-L2806","name":"alive_AndOrXor_2297","line":2764,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2297","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C1 op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2297 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2706-L2747","name":"alive_AndOrXor_2285","line":2706,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2285","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2285 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2649-L2690","name":"alive_AndOrXor_2284","line":2649,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2284","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2284 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2597-L2633","name":"alive_AndOrXor_2265","line":2597,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2265","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2265 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2541-L2582","name":"alive_AndOrXor_2264","line":2541,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2264","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2264 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2493-L2525","name":"alive_AndOrXor_2263","line":2493,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2263","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2263 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2437-L2480","name":"alive_AndOrXor_2247__A__B__A__B","line":2437,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2247__A__B__A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (B op0 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
theorem\nalive_AndOrXor_2247__A__B__A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2381-L2421","name":"alive_AndOrXor_2243__B__C__A__B___B__A__C","line":2381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_2243__B__C__A__B___B__A__C :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2323-L2365","name":"alive_AndOrXor_2231__A__B__B__C__A___A__B__C","line":2323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2231__A__B__B__C__A___A__B__C :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2258-L2306","name":"alive_AndOrXor_2188","line":2258,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2188","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2188 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2197-L2239","name":"alive_AndOrXor_2123___A__B__A__B___A__B","line":2197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A D : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2123___A__B__A__B___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2142-L2180","name":"alive_AndOrXor_2118___A__B__A___A__B","line":2142,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2118___A__B__A___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2118___A__B__A___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2089-L2127","name":"alive_AndOrXor_2113___A__B__A___A__B","line":2089,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2113___A__B__A___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2113___A__B__A___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L2035-L2074","name":"alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":2035,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1978-L2021","name":"alive_AndOrXor_1733","line":1978,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1733","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C1 C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.not w)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_1733 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1921-L1962","name":"alive_AndOrXor_1705","line":1921,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1705","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_1705 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1864-L1905","name":"alive_AndOrXor_1704","line":1864,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1704","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_1704 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1812-L1848","name":"alive_AndOrXor_1683_2","line":1812,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_1683_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1761-L1797","name":"alive_AndOrXor_1683_1","line":1761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_1","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_1683_1 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1704-L1746","name":"alive_AndOrXor_1294_A__B__A__B___A__B","line":1704,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_1294_A__B__A__B___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1642-L1687","name":"alive_AndOrXor_1288_A__B__B__C__A___A__B__C","line":1642,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_1288_A__B__B__C__A___A__B__C :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1586-L1624","name":"alive_AndOrXor_1280_ABA___AB","line":1586,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1280_ABA___AB","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_1280_ABA___AB :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1536-L1571","name":"alive_AndOrXor_1253_A__AB___A__B","line":1536,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1253_A__AB___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_1253_A__AB___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1480-L1522","name":"alive_AndOrXor_1247_AB__AB__AB","line":1480,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1247_AB__AB__AB","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_1247_AB__AB__AB :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1421-L1463","name":"alive_AndOrXor_1241_AB__AB__AB","line":1421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1241_AB__AB__AB","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_1241_AB__AB__AB :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1361-L1404","name":"alive_AndOrXor_1230__A__B___A__B","line":1361,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1230__A__B___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_1230__A__B___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1309-L1345","name":"alive_AndOrXor_887_2","line":1309,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_887_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (notOp0 notOp1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const notOp1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const notOp1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_887_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1251-L1294","name":"alive_AndOrXor_827","line":1251,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_827","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a C1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_827 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1199-L1235","name":"alive_AndOrXor_794","line":1199,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_794","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_794 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1134-L1184","name":"alive_AndOrXor_716","line":1134,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_716","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_716 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L1063-L1113","name":"alive_AndOrXor_709","line":1063,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_709","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
theorem\nalive_AndOrXor_709 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L987-L1042","name":"alive_AndOrXor_698","line":987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_698","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
theorem\nalive_AndOrXor_698 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L928-L966","name":"alive_AndOrXor_144","line":928,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_144","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 19\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 20\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))))\n e
theorem\nalive_AndOrXor_144 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L876-L914","name":"alive_AndOrXor_135","line":876,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_135","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_135 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L826-L862","name":"alive_AddSub_1624","line":826,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1624","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AddSub_1624 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L778-L811","name":"alive_AddSub_1619","line":778,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1619","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AddSub_1619 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L732-L765","name":"alive_AddSub_1614","line":732,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1614","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1614 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L683-L719","name":"alive_AddSub_1574","line":683,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1574","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1574 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L633-L670","name":"alive_AddSub_1564","line":633,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1564","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AddSub_1564 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L592-L620","name":"alive_AddSub_1560","line":592,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1560","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
theorem\nalive_AddSub_1560 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L553-L581","name":"alive_AddSub_1556","line":553,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1556","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (-1)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1556 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L513-L542","name":"alive_AddSub_1539_2","line":513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1539_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L468-L502","name":"alive_AddSub_1539","line":468,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.neg w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e
theorem\nalive_AddSub_1539 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L419-L455","name":"alive_AddSub_1309","line":419,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1309","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1309 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L368-L404","name":"alive_AddSub_1295","line":368,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1295","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AddSub_1295 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L316-L353","name":"alive_AddSub_1202","line":316,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1202","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AddSub_1202 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L269-L303","name":"alive_AddSub_1176","line":269,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1176","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
theorem\nalive_AddSub_1176 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L213-L256","name":"alive_AddSub_1165","line":213,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1165","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1165 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L163-L197","name":"alive_AddSub_1164","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1164","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AddSub_1164 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L123-L150","name":"alive_AddSub_1156","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1156","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1156 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L84-L112","name":"alive_AddSub_1152","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1152","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.pair SSA.Context.Var.last SSA.Context.Var.last)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1152 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Alive.lean#L26-L73","name":"alive_AddSub_1043","line":26,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1043","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1043 :
"}]}
\ No newline at end of file
+{"name":"SSA.Projects.InstCombine.Alive","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Tactic","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.AliveStatements","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5422-L5458","name":"alive_InstCombineShift__724","line":5422,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__724","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (C1 Z RHS : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.not w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
theorem\nalive_InstCombineShift__724 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5374-L5409","name":"alive_InstCombineShift__582","line":5374,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__582","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (A C2 C1 : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const A) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__582 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5323-L5361","name":"alive_InstCombineShift__497'''","line":5323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497'''","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__497''' :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5271-L5309","name":"alive_InstCombineShift__497","line":5271,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__497","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_InstCombineShift__497 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5207-L5257","name":"alive_InstCombineShift__476","line":5207,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__476","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_InstCombineShift__476 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5143-L5188","name":"alive_InstCombineShift__458","line":5143,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__458","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))))\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
theorem\nalive_InstCombineShift__458 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5076-L5126","name":"alive_InstCombineShift__440","line":5076,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__440","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
theorem\nalive_InstCombineShift__440 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L5012-L5057","name":"alive_InstCombineShift__422_2","line":5012,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 17\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
theorem\nalive_InstCombineShift__422_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4950-L4995","name":"alive_InstCombineShift__422_1","line":4950,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__422_1","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
theorem\nalive_InstCombineShift__422_1 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4897-L4933","name":"alive_InstCombineShift__351","line":4897,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__351","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X C : Bitvec 31),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.lshr 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.shl 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 16\n (SSA.TSSA.op (InstCombine.Op.and 31) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))\n e
theorem\nalive_InstCombineShift__351 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4849-L4884","name":"alive_InstCombineShift__279","line":4849,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__279","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__279 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4801-L4836","name":"alive_InstCombineShift__239","line":4801,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_InstCombineShift__239","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_InstCombineShift__239 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4761-L4788","name":"alive_Select_1105","line":4761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1105","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_Select_1105 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4723-L4750","name":"alive_Select_1100","line":4723,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_1100","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
theorem\nalive_Select_1100 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4684-L4712","name":"alive_Select_852","line":4684,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_852","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.op (InstCombine.Op.copy w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))\n e
theorem\nalive_Select_852 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4645-L4673","name":"alive_Select_851","line":4645,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_851","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_Select_851 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4602-L4634","name":"alive_Select_859","line":4602,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_859","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (a b : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last\n (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_Select_859 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4561-L4590","name":"alive_Select_855","line":4561,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_855","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_Select_855 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4518-L4550","name":"alive_Select_850","line":4518,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_850","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_Select_850 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4477-L4506","name":"alive_Select_846","line":4477,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_Select_846","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_Select_846 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4438-L4466","name":"alive_1030","line":4438,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_1030","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (C B : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true)) (SSA.Context.Var.prev SSA.Context.Var.last)\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.select 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_1030 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4393-L4427","name":"alive_891","line":4393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_891","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_891 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4344-L4380","name":"alive_820'","line":4344,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820'","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x N : Bitvec 13),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.udiv 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const N) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.lshr 13) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_820' :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4293-L4329","name":"alive_820","line":4293,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_820","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.udiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_820 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4244-L4278","name":"alive_290__292","line":4244,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_290__292","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (X Op1 : Bitvec 9),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sdiv 9) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_290__292 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4203-L4231","name":"alive_283","line":4203,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_283","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_283 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4152-L4192","name":"alive_276_2","line":4152,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_276_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4096-L4136","name":"alive_276","line":4096,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_276","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_276 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L4046-L4080","name":"alive_275_2","line":4046,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_275_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3998-L4032","name":"alive_275","line":3998,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_275","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sdiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_275 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3944-L3984","name":"alive_239","line":3944,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_239","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (Y X : Bitvec 5),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.mul 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.urem 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.udiv 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub 5) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_239 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3891-L3929","name":"alive_229","line":3891,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_229","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const X) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const Y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
theorem\nalive_229 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3840-L3876","name":"alive_160","line":3840,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_160","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 Op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const Op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const X)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_160 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3799-L3827","name":"alive_152","line":3799,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_152","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (x C1 C2 : Bitvec 7),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.shl 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.mul 7) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_152 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3752-L3788","name":"alive_AndOrXor_2663","line":3752,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2663","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.mul w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AndOrXor_2663 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3690-L3737","name":"alive_AndOrXor_2658","line":3690,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2658","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ule w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2658 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3636-L3672","name":"alive_AndOrXor_2647","line":3636,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2647","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
theorem\nalive_AndOrXor_2647 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3578-L3621","name":"alive_AndOrXor_2627","line":3578,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2627","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2627 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3513-L3561","name":"alive_AndOrXor_2617","line":3513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2617","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a c_1 b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const c_1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const c_1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2617 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3446-L3494","name":"alive_AndOrXor_2607","line":3446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2607","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2607 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3391-L3427","name":"alive_AndOrXor_2595","line":3391,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2595","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2595 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3341-L3376","name":"alive_AndOrXor_2587__BAA___B__A","line":3341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2587__BAA___B__A","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2587__BAA___B__A :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3292-L3327","name":"alive_AndOrXor_2581__BAB___A__B","line":3292,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2581__BAB___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2581__BAB___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3242-L3278","name":"alive_AndOrXor_2486","line":3242,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2486","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2486 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3193-L3229","name":"alive_AndOrXor_2475","line":3193,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2475","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2475 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3147-L3180","name":"alive_AndOrXor_2453","line":3147,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2453","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const C) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const x) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2453 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3095-L3134","name":"alive_AndOrXor_2443","line":3095,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2443","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.slt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
theorem\nalive_AndOrXor_2443 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L3041-L3080","name":"alive_AndOrXor_2430","line":3041,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2430","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.ashr w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2430 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2987-L3026","name":"alive_AndOrXor_2429","line":2987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2429","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2429 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2930-L2972","name":"alive_AndOrXor_2417","line":2930,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2417","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (y x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2417 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2872-L2914","name":"alive_AndOrXor_2416","line":2872,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2416","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2416 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2820-L2856","name":"alive_AndOrXor_2367","line":2820,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2367","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (nx y : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const nx) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const y)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const y) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const nx)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2367 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2764-L2806","name":"alive_AndOrXor_2297","line":2764,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2297","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C1 op1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const op1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const op1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2297 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2706-L2747","name":"alive_AndOrXor_2285","line":2706,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2285","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2285 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2649-L2690","name":"alive_AndOrXor_2284","line":2649,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2284","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2284 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2597-L2633","name":"alive_AndOrXor_2265","line":2597,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2265","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2265 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2541-L2582","name":"alive_AndOrXor_2264","line":2541,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2264","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_2264 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2493-L2525","name":"alive_AndOrXor_2263","line":2493,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2263","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 12 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_2263 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2437-L2480","name":"alive_AndOrXor_2247__A__B__A__B","line":2437,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2247__A__B__A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (B op0 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const op0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
theorem\nalive_AndOrXor_2247__A__B__A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2381-L2421","name":"alive_AndOrXor_2243__B__C__A__B___B__A__C","line":2381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_2243__B__C__A__B___B__A__C :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2323-L2365","name":"alive_AndOrXor_2231__A__B__B__C__A___A__B__C","line":2323,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2231__A__B__B__C__A___A__B__C :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2258-L2306","name":"alive_AndOrXor_2188","line":2258,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2188","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2188 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2197-L2239","name":"alive_AndOrXor_2123___A__B__A__B___A__B","line":2197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A D : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const D) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_2123___A__B__A__B___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2142-L2180","name":"alive_AndOrXor_2118___A__B__A___A__B","line":2142,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2118___A__B__A___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_2118___A__B__A___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2089-L2127","name":"alive_AndOrXor_2113___A__B__A___A__B","line":2089,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2113___A__B__A___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2113___A__B__A___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L2035-L2074","name":"alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":2035,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_2063__X__C1__C2____X__C2__C1__C2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1978-L2021","name":"alive_AndOrXor_1733","line":1978,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1733","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C1 C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.not w)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_1733 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1921-L1962","name":"alive_AndOrXor_1705","line":1921,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1705","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_1705 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1864-L1905","name":"alive_AndOrXor_1704","line":1864,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1704","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_1704 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1812-L1848","name":"alive_AndOrXor_1683_2","line":1812,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ult w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e
theorem\nalive_AndOrXor_1683_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1761-L1797","name":"alive_AndOrXor_1683_1","line":1761,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1683_1","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool true))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_1683_1 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1704-L1746","name":"alive_AndOrXor_1294_A__B__A__B___A__B","line":1704,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ugt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.uge w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_1294_A__B__A__B___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1642-L1687","name":"alive_AndOrXor_1288_A__B__B__C__A___A__B__C","line":1642,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_1288_A__B__B__C__A___A__B__C :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1586-L1624","name":"alive_AndOrXor_1280_ABA___AB","line":1586,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1280_ABA___AB","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A C B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))\n e
theorem\nalive_AndOrXor_1280_ABA___AB :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1536-L1571","name":"alive_AndOrXor_1253_A__AB___A__B","line":1536,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1253_A__AB___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const B)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_1253_A__AB___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1480-L1522","name":"alive_AndOrXor_1247_AB__AB__AB","line":1480,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1247_AB__AB__AB","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const B) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const A)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AndOrXor_1247_AB__AB__AB :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1421-L1463","name":"alive_AndOrXor_1241_AB__AB__AB","line":1421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1241_AB__AB__AB","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_1241_AB__AB__AB :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1361-L1404","name":"alive_AndOrXor_1230__A__B___A__B","line":1361,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_1230__A__B___A__B","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_1230__A__B___A__B :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1309-L1345","name":"alive_AndOrXor_887_2","line":1309,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_887_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (notOp0 notOp1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const notOp1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const notOp0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const notOp1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const (-1))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_887_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1251-L1294","name":"alive_AndOrXor_827","line":1251,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_827","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a C1 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const (Bitvec.ofBool false))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.copy 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_827 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1199-L1235","name":"alive_AndOrXor_794","line":1199,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_794","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 0) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AndOrXor_794 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1134-L1184","name":"alive_AndOrXor_716","line":1134,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_716","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.ne w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.sgt w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AndOrXor_716 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L1063-L1113","name":"alive_AndOrXor_709","line":1063,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_709","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
theorem\nalive_AndOrXor_709 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L987-L1042","name":"alive_AndOrXor_698","line":987,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_698","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))))\n e
theorem\nalive_AndOrXor_698 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L928-L966","name":"alive_AndOrXor_144","line":928,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_144","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b d : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const d)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.and 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const d) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 14\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w) SSA.Context.Var.last\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 16\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 17\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 18\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 19\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 20\n (SSA.TSSA.op (InstCombine.Op.icmp InstCombine.Comparison.eq w)\n SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))))\n e
theorem\nalive_AndOrXor_144 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L876-L914","name":"alive_AndOrXor_135","line":876,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AndOrXor_135","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AndOrXor_135 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L826-L862","name":"alive_AddSub_1624","line":826,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1624","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C1 C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C2)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 11 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))\n e
theorem\nalive_AddSub_1624 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L778-L811","name":"alive_AddSub_1619","line":778,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1619","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (A B : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const A) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const B) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AddSub_1619 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L732-L765","name":"alive_AddSub_1614","line":732,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1614","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1614 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L683-L719","name":"alive_AddSub_1574","line":683,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1574","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (Y X : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const Y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1574 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L633-L670","name":"alive_AddSub_1564","line":633,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1564","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (X C C2 : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const X) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C2) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))\n e
theorem\nalive_AddSub_1564 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L592-L620","name":"alive_AddSub_1560","line":592,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1560","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
theorem\nalive_AddSub_1560 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L553-L581","name":"alive_AddSub_1556","line":553,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1556","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const (-1)) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1556 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L513-L542","name":"alive_AddSub_1539_2","line":513,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539_2","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1539_2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L468-L502","name":"alive_AddSub_1539","line":468,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1539","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.neg w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))\n e
theorem\nalive_AddSub_1539 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L419-L455","name":"alive_AddSub_1309","line":419,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1309","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a x : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const x)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1309 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L368-L404","name":"alive_AddSub_1295","line":368,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1295","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AddSub_1295 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L316-L353","name":"alive_AddSub_1202","line":316,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1202","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))\n e
theorem\nalive_AddSub_1202 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L269-L303","name":"alive_AddSub_1176","line":269,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1176","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (x C : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const (-1)) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const C)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e
theorem\nalive_AddSub_1176 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L213-L256","name":"alive_AddSub_1165","line":213,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1165","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair SSA.Context.Var.last (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const a)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1165 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L163-L197","name":"alive_AddSub_1164","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1164","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 8 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const a) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const b) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 9\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))\n (SSA.TSSA.assign 10 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.op (InstCombine.Op.const 0)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 12\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))))\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))\n e
theorem\nalive_AddSub_1164 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L123-L150","name":"alive_AddSub_1156","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1156","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (a b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const 0) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const a) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.op (InstCombine.Op.const b)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))\n e
theorem\nalive_AddSub_1156 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L84-L112","name":"alive_AddSub_1152","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1152","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (b : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2 (SSA.TSSA.pair SSA.Context.Var.last SSA.Context.Var.last)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const b) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const 1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.shl w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1152 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Alive.lean#L26-L73","name":"alive_AddSub_1043","line":26,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/Alive.html#alive_AddSub_1043","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (y x : Bitvec 1),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.add 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const x) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const y) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.xor 1) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))\n e
theorem\nalive_AddSub_1043 :
"}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp
index f7797351c..8931b1629 100644
--- a/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp
+++ b/declarations/declaration-data-SSA.Projects.InstCombine.AliveStatements.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.InstCombine.AliveStatements","instances":[],"imports":["Init","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L526-L529","name":"bitvec_InstCombineShift__724","line":526,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__724","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L521-L524","name":"bitvec_InstCombineShift__582","line":521,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__582","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L516-L519","name":"bitvec_InstCombineShift__497'''","line":516,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497'''","doc":""},"header":"∀ {c : SSA.Context InstCombine.BaseType} {e : SSA.EnvC c} (w : ℕ) (C1 Z RHS : Bitvec w),\n SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.TSSA.assign 6 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 7\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))\n e ⊑ SSA.TSSA.eval\n (SSA.TSSA.assign 0 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (InstCombine.Op.const Z) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (InstCombine.Op.const C1) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3 (SSA.TSSA.op (InstCombine.Op.not w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op (InstCombine.Op.or w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 6\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))\n (SSA.TSSA.assign 7 (SSA.TSSA.op (InstCombine.Op.and w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 8\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))))))\n (SSA.TSSA.assign 9 (SSA.TSSA.op (InstCombine.Op.xor w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10\n (SSA.TSSA.op (InstCombine.Op.const 1)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 11\n (SSA.TSSA.pair (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 12\n (SSA.TSSA.op (InstCombine.Op.add w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 13\n (SSA.TSSA.op (InstCombine.Op.const RHS)\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))))))))\n SSA.TSSA.rgn0)\n (SSA.TSSA.assign 14\n (SSA.TSSA.pair SSA.Context.Var.last\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last)))))))))\n (SSA.TSSA.assign 15\n (SSA.TSSA.op (InstCombine.Op.sub w) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last)))))))))))))))))\n e
theorem\nbitvec_InstCombineShift__497'''\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L511-L514","name":"bitvec_InstCombineShift__497","line":511,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497","doc":""},"header":"theorem\nbitvec_InstCombineShift__497\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L506-L509","name":"bitvec_InstCombineShift__476","line":506,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__476","doc":""},"header":"theorem\nbitvec_InstCombineShift__476\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L501-L504","name":"bitvec_InstCombineShift__458","line":501,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__458","doc":""},"header":"theorem\nbitvec_InstCombineShift__458\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L496-L499","name":"bitvec_InstCombineShift__440","line":496,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__440","doc":""},"header":"(Bitvec.sshr X (Bitvec.toNat C) - Y) <<< C = X - Y <<< C &&& (-1) <<< C
theorem\nbitvec_InstCombineShift__440\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L491-L494","name":"bitvec_InstCombineShift__422_2","line":491,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_2","doc":""},"header":"theorem\nbitvec_InstCombineShift__422_2\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L486-L489","name":"bitvec_InstCombineShift__422_1","line":486,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L481-L484","name":"bitvec_InstCombineShift__351","line":481,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__351","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L476-L479","name":"bitvec_InstCombineShift__279","line":476,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__279","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L471-L474","name":"bitvec_InstCombineShift__239","line":471,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__239","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L466-L469","name":"bitvec_Select_1105","line":466,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1105","doc":""},"header":"(Y + Bitvec.sshr X (Bitvec.toNat C)) <<< C = Y <<< C + X &&& (-1) <<< C
theorem\nbitvec_Select_1105\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L461-L464","name":"bitvec_Select_1100","line":461,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1100","doc":""},"header":"Bitvec.select (Bitvec.ofBool false) X Y = Y
theorem\nbitvec_Select_1100\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L456-L459","name":"bitvec_Select_852","line":456,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_852","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L451-L454","name":"bitvec_Select_851","line":451,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_851","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L446-L449","name":"bitvec_Select_859","line":446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_859","doc":""},"header":"Bitvec.select (Bitvec.ofBool true) X Y = X
theorem\nbitvec_Select_859\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L441-L444","name":"bitvec_Select_855","line":441,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_855","doc":""},"header":"Bitvec.select B C (Bitvec.ofBool true) = B ^^^ Bitvec.ofBool true ||| C
theorem\nbitvec_Select_855\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L436-L439","name":"bitvec_Select_850","line":436,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_850","doc":""},"header":"Bitvec.select B C (Bitvec.ofBool false) = B &&& C
theorem\nbitvec_Select_850\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L431-L434","name":"bitvec_Select_846","line":431,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_846","doc":""},"header":"Bitvec.select B (Bitvec.ofBool false) C = (B ^^^ Bitvec.ofBool true) &&& C
theorem\nbitvec_Select_846\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L426-L429","name":"bitvec_1030","line":426,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_1030","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L421-L424","name":"bitvec_891","line":421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_891","doc":""},"header":"Bitvec.select B (Bitvec.ofBool true) C = B ||| C
theorem\nbitvec_891\n(x : Bitvec 13)\n\n(N : Bitvec 13)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L415-L419","name":"bitvec_820'","line":415,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820'","doc":""},"header":"Bitvec.udiv? x (1 <<< N) ⊑ some (x >>> N)
theorem\nbitvec_820'\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L409-L413","name":"bitvec_820","line":409,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820","doc":""},"header":"(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
theorem\nbitvec_820\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L404-L407","name":"bitvec_290__292","line":404,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_290__292","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L399-L402","name":"bitvec_283","line":399,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_283","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L393-L397","name":"bitvec_276_2","line":393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276_2","doc":""},"header":"(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
theorem\nbitvec_276_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L387-L391","name":"bitvec_276","line":387,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276","doc":""},"header":"(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem\nbitvec_276\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L381-L385","name":"bitvec_275_2","line":381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275_2","doc":""},"header":"(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem\nbitvec_275_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L375-L379","name":"bitvec_275","line":375,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275","doc":""},"header":"(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem\nbitvec_275\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L370-L373","name":"bitvec_239","line":370,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_239","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L365-L368","name":"bitvec_229","line":365,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_229","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L360-L363","name":"bitvec_160","line":360,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_160","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L355-L358","name":"bitvec_152","line":355,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_152","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L350-L353","name":"bitvec_AndOrXor_2663","line":350,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2663","doc":""},"header":"(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem\nbitvec_AndOrXor_2663\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L345-L348","name":"bitvec_AndOrXor_2658","line":345,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2658","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L340-L343","name":"bitvec_AndOrXor_2647","line":340,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2647","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L335-L338","name":"bitvec_AndOrXor_2627","line":335,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2627","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L330-L333","name":"bitvec_AndOrXor_2617","line":330,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2617","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L325-L328","name":"bitvec_AndOrXor_2607","line":325,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2607","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L320-L323","name":"bitvec_AndOrXor_2595","line":320,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2595","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L315-L318","name":"bitvec_AndOrXor_2587__BAA___B__A","line":315,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2587__BAA___B__A","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L310-L313","name":"bitvec_AndOrXor_2581__BAB___A__B","line":310,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2581__BAB___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L305-L308","name":"bitvec_AndOrXor_2486","line":305,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2486","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L300-L303","name":"bitvec_AndOrXor_2475","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2475","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L295-L298","name":"bitvec_AndOrXor_2453","line":295,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2453","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.ult a b)) ^^^ Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem\nbitvec_AndOrXor_2453\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L290-L293","name":"bitvec_AndOrXor_2443","line":290,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2443","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.sle x y)) ^^^ -1 = Bitvec.ofBool (decide (Bitvec.sge x y))
theorem\nbitvec_AndOrXor_2443\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L285-L288","name":"bitvec_AndOrXor_2430","line":285,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2430","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L280-L283","name":"bitvec_AndOrXor_2429","line":280,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2429","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L275-L278","name":"bitvec_AndOrXor_2417","line":275,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2417","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L270-L273","name":"bitvec_AndOrXor_2416","line":270,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2416","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L265-L268","name":"bitvec_AndOrXor_2367","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2367","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L260-L263","name":"bitvec_AndOrXor_2297","line":260,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2297","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L255-L258","name":"bitvec_AndOrXor_2285","line":255,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2285","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L250-L253","name":"bitvec_AndOrXor_2284","line":250,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2284","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L245-L248","name":"bitvec_AndOrXor_2265","line":245,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2265","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L240-L243","name":"bitvec_AndOrXor_2264","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2264","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L235-L238","name":"bitvec_AndOrXor_2263","line":235,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2263","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L230-L233","name":"bitvec_AndOrXor_2247__A__B__A__B","line":230,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2247__A__B__A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L225-L228","name":"bitvec_AndOrXor_2243__B__C__A__B___B__A__C","line":225,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"Bitvec.sshr (x ^^^ -1) (Bitvec.toNat y) ^^^ -1 = Bitvec.sshr x (Bitvec.toNat y)
theorem\nbitvec_AndOrXor_2243__B__C__A__B___B__A__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L220-L223","name":"bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","line":220,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"theorem\nbitvec_AndOrXor_2231__A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L215-L218","name":"bitvec_AndOrXor_2188","line":215,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2188","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L210-L213","name":"bitvec_AndOrXor_2123___A__B__A__B___A__B","line":210,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L205-L208","name":"bitvec_AndOrXor_2118___A__B__A___A__B","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2118___A__B__A___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L200-L203","name":"bitvec_AndOrXor_2113___A__B__A___A__B","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2113___A__B__A___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L195-L198","name":"bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":195,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"theorem\nbitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L190-L193","name":"bitvec_AndOrXor_1733","line":190,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1733","doc":""},"header":"theorem\nbitvec_AndOrXor_1733\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L185-L188","name":"bitvec_AndOrXor_1705","line":185,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1705","doc":""},"header":"Bitvec.ofBool (A != 0) ||| Bitvec.ofBool (B != 0) = Bitvec.ofBool (A ||| B != 0)
theorem\nbitvec_AndOrXor_1705\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L180-L183","name":"bitvec_AndOrXor_1704","line":180,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1704","doc":""},"header":"Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ugt B A)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem\nbitvec_AndOrXor_1704\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L175-L178","name":"bitvec_AndOrXor_1683_2","line":175,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_2","doc":""},"header":"Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ule A B)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem\nbitvec_AndOrXor_1683_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L170-L173","name":"bitvec_AndOrXor_1683_1","line":170,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_1","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.uge a b)) ||| Bitvec.ofBool (a != b) = Bitvec.ofBool true
theorem\nbitvec_AndOrXor_1683_1\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L165-L168","name":"bitvec_AndOrXor_1294_A__B__A__B___A__B","line":165,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L160-L163","name":"bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","line":160,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.ugt a b)) ||| Bitvec.ofBool (a == b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem\nbitvec_AndOrXor_1288_A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L155-L158","name":"bitvec_AndOrXor_1280_ABA___AB","line":155,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1280_ABA___AB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L150-L153","name":"bitvec_AndOrXor_1253_A__AB___A__B","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1253_A__AB___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L145-L148","name":"bitvec_AndOrXor_1247_AB__AB__AB","line":145,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1247_AB__AB__AB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L140-L143","name":"bitvec_AndOrXor_1241_AB__AB__AB","line":140,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1241_AB__AB__AB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L135-L138","name":"bitvec_AndOrXor_1230__A__B___A__B","line":135,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1230__A__B___A__B","doc":""},"header":"theorem\nbitvec_AndOrXor_1230__A__B___A__B\n(w : ℕ)\n\n(notOp0 : Bitvec w)\n\n(notOp1 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L130-L133","name":"bitvec_AndOrXor_887_2","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_887_2","doc":""},"header":"theorem\nbitvec_AndOrXor_887_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(C1 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L125-L128","name":"bitvec_AndOrXor_827","line":125,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_827","doc":""},"header":"Bitvec.ofBool (a == C1) &&& Bitvec.ofBool (a != C1) = Bitvec.ofBool false
theorem\nbitvec_AndOrXor_827\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L120-L123","name":"bitvec_AndOrXor_794","line":120,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_794","doc":""},"header":"Bitvec.ofBool (a == 0) &&& Bitvec.ofBool (b == 0) = Bitvec.ofBool (a ||| b == 0)
theorem\nbitvec_AndOrXor_794\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L115-L118","name":"bitvec_AndOrXor_716","line":115,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_716","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.sgt a b)) &&& Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.sgt a b))
theorem\nbitvec_AndOrXor_716\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L110-L113","name":"bitvec_AndOrXor_709","line":110,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_709","doc":""},"header":"Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
theorem\nbitvec_AndOrXor_709\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L105-L108","name":"bitvec_AndOrXor_698","line":105,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_698","doc":""},"header":"Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
theorem\nbitvec_AndOrXor_698\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L100-L103","name":"bitvec_AndOrXor_144","line":100,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_144","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L95-L98","name":"bitvec_AndOrXor_135","line":95,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_135","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L90-L93","name":"bitvec_AddSub_1624","line":90,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1624","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L85-L88","name":"bitvec_AddSub_1619","line":85,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1619","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L80-L83","name":"bitvec_AddSub_1614","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1614","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L75-L78","name":"bitvec_AddSub_1574","line":75,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1574","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L70-L73","name":"bitvec_AddSub_1564","line":70,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1564","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L65-L68","name":"bitvec_AddSub_1560","line":65,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1560","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L60-L63","name":"bitvec_AddSub_1556","line":60,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1556","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L55-L58","name":"bitvec_AddSub_1539_2","line":55,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539_2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L50-L53","name":"bitvec_AddSub_1539","line":50,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L45-L48","name":"bitvec_AddSub_1309","line":45,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1309","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L40-L43","name":"bitvec_AddSub_1295","line":40,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1295","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L35-L38","name":"bitvec_AddSub_1202","line":35,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1202","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L30-L33","name":"bitvec_AddSub_1176","line":30,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1176","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L25-L28","name":"bitvec_AddSub_1165","line":25,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1165","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L20-L23","name":"bitvec_AddSub_1164","line":20,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1164","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L15-L18","name":"bitvec_AddSub_1156","line":15,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1156","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L10-L13","name":"bitvec_AddSub_1152","line":10,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1152","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/AliveStatements.lean#L5-L8","name":"bitvec_AddSub_1043","line":5,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1043","doc":""},"header":""}]}
\ No newline at end of file
+{"name":"SSA.Projects.InstCombine.AliveStatements","instances":[],"imports":["Init","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.Tactic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L526-L529","name":"bitvec_InstCombineShift__724","line":526,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__724","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L521-L524","name":"bitvec_InstCombineShift__582","line":521,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__582","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L516-L519","name":"bitvec_InstCombineShift__497'''","line":516,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497'''","doc":""},"header":"Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
theorem\nbitvec_InstCombineShift__497'''\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L511-L514","name":"bitvec_InstCombineShift__497","line":511,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__497","doc":""},"header":"theorem\nbitvec_InstCombineShift__497\n(w : ℕ)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L506-L509","name":"bitvec_InstCombineShift__476","line":506,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__476","doc":""},"header":"theorem\nbitvec_InstCombineShift__476\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L501-L504","name":"bitvec_InstCombineShift__458","line":501,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__458","doc":""},"header":"theorem\nbitvec_InstCombineShift__458\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L496-L499","name":"bitvec_InstCombineShift__440","line":496,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__440","doc":""},"header":"(Bitvec.sshr X (Bitvec.toNat C) - Y) <<< C = X - Y <<< C &&& (-1) <<< C
theorem\nbitvec_InstCombineShift__440\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n\n(C : Bitvec w)\n\n(C2 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L491-L494","name":"bitvec_InstCombineShift__422_2","line":491,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_2","doc":""},"header":"theorem\nbitvec_InstCombineShift__422_2\n(Y : Bitvec 31)\n\n(X : Bitvec 31)\n\n(C : Bitvec 31)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L486-L489","name":"bitvec_InstCombineShift__422_1","line":486,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__422_1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L481-L484","name":"bitvec_InstCombineShift__351","line":481,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__351","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L476-L479","name":"bitvec_InstCombineShift__279","line":476,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__279","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L471-L474","name":"bitvec_InstCombineShift__239","line":471,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_InstCombineShift__239","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L466-L469","name":"bitvec_Select_1105","line":466,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1105","doc":""},"header":"(Y + Bitvec.sshr X (Bitvec.toNat C)) <<< C = Y <<< C + X &&& (-1) <<< C
theorem\nbitvec_Select_1105\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L461-L464","name":"bitvec_Select_1100","line":461,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_1100","doc":""},"header":"Bitvec.select (Bitvec.ofBool false) X Y = Y
theorem\nbitvec_Select_1100\n(w : ℕ)\n\n(Y : Bitvec w)\n\n(X : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L456-L459","name":"bitvec_Select_852","line":456,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_852","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L451-L454","name":"bitvec_Select_851","line":451,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_851","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L446-L449","name":"bitvec_Select_859","line":446,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_859","doc":""},"header":"Bitvec.select (Bitvec.ofBool true) X Y = X
theorem\nbitvec_Select_859\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L441-L444","name":"bitvec_Select_855","line":441,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_855","doc":""},"header":"Bitvec.select B C (Bitvec.ofBool true) = B ^^^ Bitvec.ofBool true ||| C
theorem\nbitvec_Select_855\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L436-L439","name":"bitvec_Select_850","line":436,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_850","doc":""},"header":"Bitvec.select B C (Bitvec.ofBool false) = B &&& C
theorem\nbitvec_Select_850\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L431-L434","name":"bitvec_Select_846","line":431,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_Select_846","doc":""},"header":"Bitvec.select B (Bitvec.ofBool false) C = (B ^^^ Bitvec.ofBool true) &&& C
theorem\nbitvec_Select_846\n(C : Bitvec 1)\n\n(B : Bitvec 1)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L426-L429","name":"bitvec_1030","line":426,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_1030","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L421-L424","name":"bitvec_891","line":421,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_891","doc":""},"header":"Bitvec.select B (Bitvec.ofBool true) C = B ||| C
theorem\nbitvec_891\n(x : Bitvec 13)\n\n(N : Bitvec 13)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L415-L419","name":"bitvec_820'","line":415,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820'","doc":""},"header":"Bitvec.udiv? x (1 <<< N) ⊑ some (x >>> N)
theorem\nbitvec_820'\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L409-L413","name":"bitvec_820","line":409,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_820","doc":""},"header":"(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.udiv? fst Op1) ⊑ Bitvec.udiv? X Op1
theorem\nbitvec_820\n(X : Bitvec 9)\n\n(Op1 : Bitvec 9)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L404-L407","name":"bitvec_290__292","line":404,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_290__292","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L399-L402","name":"bitvec_283","line":399,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_283","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L393-L397","name":"bitvec_276_2","line":393,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276_2","doc":""},"header":"(Option.bind (Option.bind (Bitvec.urem? X Op1) fun snd => some (X - snd)) fun fst => Bitvec.sdiv? fst Op1) ⊑ Bitvec.sdiv? X Op1
theorem\nbitvec_276_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L387-L391","name":"bitvec_276","line":387,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_276","doc":""},"header":"(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem\nbitvec_276\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L381-L385","name":"bitvec_275_2","line":381,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275_2","doc":""},"header":"(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * (0 - Y))) ⊑ Option.bind (Bitvec.urem? X Y) fun fst => some (fst - X)
theorem\nbitvec_275_2\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L375-L379","name":"bitvec_275","line":375,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_275","doc":""},"header":"(Option.bind (Bitvec.sdiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem\nbitvec_275\n(Y : Bitvec 5)\n\n(X : Bitvec 5)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L370-L373","name":"bitvec_239","line":370,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_239","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L365-L368","name":"bitvec_229","line":365,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_229","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L360-L363","name":"bitvec_160","line":360,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_160","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L355-L358","name":"bitvec_152","line":355,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_152","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L350-L353","name":"bitvec_AndOrXor_2663","line":350,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2663","doc":""},"header":"(Option.bind (Bitvec.udiv? X Y) fun fst => some (fst * Y)) ⊑ Option.bind (Bitvec.urem? X Y) fun snd => some (X - snd)
theorem\nbitvec_AndOrXor_2663\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L345-L348","name":"bitvec_AndOrXor_2658","line":345,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2658","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L340-L343","name":"bitvec_AndOrXor_2647","line":340,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2647","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L335-L338","name":"bitvec_AndOrXor_2627","line":335,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2627","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L330-L333","name":"bitvec_AndOrXor_2617","line":330,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2617","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L325-L328","name":"bitvec_AndOrXor_2607","line":325,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2607","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L320-L323","name":"bitvec_AndOrXor_2595","line":320,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2595","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L315-L318","name":"bitvec_AndOrXor_2587__BAA___B__A","line":315,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2587__BAA___B__A","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L310-L313","name":"bitvec_AndOrXor_2581__BAB___A__B","line":310,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2581__BAB___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L305-L308","name":"bitvec_AndOrXor_2486","line":305,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2486","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L300-L303","name":"bitvec_AndOrXor_2475","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2475","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L295-L298","name":"bitvec_AndOrXor_2453","line":295,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2453","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.ult a b)) ^^^ Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem\nbitvec_AndOrXor_2453\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L290-L293","name":"bitvec_AndOrXor_2443","line":290,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2443","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.sle x y)) ^^^ -1 = Bitvec.ofBool (decide (Bitvec.sge x y))
theorem\nbitvec_AndOrXor_2443\n(w : ℕ)\n\n(y : Bitvec w)\n\n(x : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L285-L288","name":"bitvec_AndOrXor_2430","line":285,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2430","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L280-L283","name":"bitvec_AndOrXor_2429","line":280,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2429","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L275-L278","name":"bitvec_AndOrXor_2417","line":275,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2417","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L270-L273","name":"bitvec_AndOrXor_2416","line":270,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2416","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L265-L268","name":"bitvec_AndOrXor_2367","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2367","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L260-L263","name":"bitvec_AndOrXor_2297","line":260,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2297","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L255-L258","name":"bitvec_AndOrXor_2285","line":255,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2285","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L250-L253","name":"bitvec_AndOrXor_2284","line":250,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2284","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L245-L248","name":"bitvec_AndOrXor_2265","line":245,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2265","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L240-L243","name":"bitvec_AndOrXor_2264","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2264","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L235-L238","name":"bitvec_AndOrXor_2263","line":235,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2263","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L230-L233","name":"bitvec_AndOrXor_2247__A__B__A__B","line":230,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2247__A__B__A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L225-L228","name":"bitvec_AndOrXor_2243__B__C__A__B___B__A__C","line":225,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2243__B__C__A__B___B__A__C","doc":""},"header":"Bitvec.sshr (x ^^^ -1) (Bitvec.toNat y) ^^^ -1 = Bitvec.sshr x (Bitvec.toNat y)
theorem\nbitvec_AndOrXor_2243__B__C__A__B___B__A__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L220-L223","name":"bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","line":220,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2231__A__B__B__C__A___A__B__C","doc":""},"header":"theorem\nbitvec_AndOrXor_2231__A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L215-L218","name":"bitvec_AndOrXor_2188","line":215,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2188","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L210-L213","name":"bitvec_AndOrXor_2123___A__B__A__B___A__B","line":210,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2123___A__B__A__B___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L205-L208","name":"bitvec_AndOrXor_2118___A__B__A___A__B","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2118___A__B__A___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L200-L203","name":"bitvec_AndOrXor_2113___A__B__A___A__B","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2113___A__B__A___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L195-L198","name":"bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","line":195,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2","doc":""},"header":"theorem\nbitvec_AndOrXor_2063__X__C1__C2____X__C2__C1__C2\n(w : ℕ)\n\n(x : Bitvec w)\n\n(C1 : Bitvec w)\n\n(C : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L190-L193","name":"bitvec_AndOrXor_1733","line":190,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1733","doc":""},"header":"theorem\nbitvec_AndOrXor_1733\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L185-L188","name":"bitvec_AndOrXor_1705","line":185,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1705","doc":""},"header":"Bitvec.ofBool (A != 0) ||| Bitvec.ofBool (B != 0) = Bitvec.ofBool (A ||| B != 0)
theorem\nbitvec_AndOrXor_1705\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L180-L183","name":"bitvec_AndOrXor_1704","line":180,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1704","doc":""},"header":"Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ugt B A)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem\nbitvec_AndOrXor_1704\n(w : ℕ)\n\n(A : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L175-L178","name":"bitvec_AndOrXor_1683_2","line":175,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_2","doc":""},"header":"Bitvec.ofBool (B == 0) ||| Bitvec.ofBool (decide (Bitvec.ule A B)) = Bitvec.ofBool (decide (Bitvec.uge (B + -1) A))
theorem\nbitvec_AndOrXor_1683_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L170-L173","name":"bitvec_AndOrXor_1683_1","line":170,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1683_1","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.uge a b)) ||| Bitvec.ofBool (a != b) = Bitvec.ofBool true
theorem\nbitvec_AndOrXor_1683_1\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L165-L168","name":"bitvec_AndOrXor_1294_A__B__A__B___A__B","line":165,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1294_A__B__A__B___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L160-L163","name":"bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","line":160,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1288_A__B__B__C__A___A__B__C","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.ugt a b)) ||| Bitvec.ofBool (a == b) = Bitvec.ofBool (decide (Bitvec.uge a b))
theorem\nbitvec_AndOrXor_1288_A__B__B__C__A___A__B__C\n(w : ℕ)\n\n(A : Bitvec w)\n\n(C : Bitvec w)\n\n(B : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L155-L158","name":"bitvec_AndOrXor_1280_ABA___AB","line":155,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1280_ABA___AB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L150-L153","name":"bitvec_AndOrXor_1253_A__AB___A__B","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1253_A__AB___A__B","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L145-L148","name":"bitvec_AndOrXor_1247_AB__AB__AB","line":145,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1247_AB__AB__AB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L140-L143","name":"bitvec_AndOrXor_1241_AB__AB__AB","line":140,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1241_AB__AB__AB","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L135-L138","name":"bitvec_AndOrXor_1230__A__B___A__B","line":135,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_1230__A__B___A__B","doc":""},"header":"theorem\nbitvec_AndOrXor_1230__A__B___A__B\n(w : ℕ)\n\n(notOp0 : Bitvec w)\n\n(notOp1 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L130-L133","name":"bitvec_AndOrXor_887_2","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_887_2","doc":""},"header":"theorem\nbitvec_AndOrXor_887_2\n(w : ℕ)\n\n(a : Bitvec w)\n\n(C1 : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L125-L128","name":"bitvec_AndOrXor_827","line":125,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_827","doc":""},"header":"Bitvec.ofBool (a == C1) &&& Bitvec.ofBool (a != C1) = Bitvec.ofBool false
theorem\nbitvec_AndOrXor_827\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L120-L123","name":"bitvec_AndOrXor_794","line":120,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_794","doc":""},"header":"Bitvec.ofBool (a == 0) &&& Bitvec.ofBool (b == 0) = Bitvec.ofBool (a ||| b == 0)
theorem\nbitvec_AndOrXor_794\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L115-L118","name":"bitvec_AndOrXor_716","line":115,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_716","doc":""},"header":"Bitvec.ofBool (decide (Bitvec.sgt a b)) &&& Bitvec.ofBool (a != b) = Bitvec.ofBool (decide (Bitvec.sgt a b))
theorem\nbitvec_AndOrXor_716\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L110-L113","name":"bitvec_AndOrXor_709","line":110,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_709","doc":""},"header":"Bitvec.ofBool (a &&& b == a) &&& Bitvec.ofBool (a &&& d == a) = Bitvec.ofBool (a &&& (b &&& d) == a)
theorem\nbitvec_AndOrXor_709\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L105-L108","name":"bitvec_AndOrXor_698","line":105,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_698","doc":""},"header":"Bitvec.ofBool (a &&& b == b) &&& Bitvec.ofBool (a &&& d == d) = Bitvec.ofBool (a &&& (b ||| d) == b ||| d)
theorem\nbitvec_AndOrXor_698\n(w : ℕ)\n\n(a : Bitvec w)\n\n(b : Bitvec w)\n\n(d : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L100-L103","name":"bitvec_AndOrXor_144","line":100,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_144","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L95-L98","name":"bitvec_AndOrXor_135","line":95,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AndOrXor_135","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L90-L93","name":"bitvec_AddSub_1624","line":90,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1624","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L85-L88","name":"bitvec_AddSub_1619","line":85,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1619","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L80-L83","name":"bitvec_AddSub_1614","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1614","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L75-L78","name":"bitvec_AddSub_1574","line":75,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1574","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L70-L73","name":"bitvec_AddSub_1564","line":70,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1564","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L65-L68","name":"bitvec_AddSub_1560","line":65,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1560","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L60-L63","name":"bitvec_AddSub_1556","line":60,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1556","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L55-L58","name":"bitvec_AddSub_1539_2","line":55,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539_2","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L50-L53","name":"bitvec_AddSub_1539","line":50,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1539","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L45-L48","name":"bitvec_AddSub_1309","line":45,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1309","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L40-L43","name":"bitvec_AddSub_1295","line":40,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1295","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L35-L38","name":"bitvec_AddSub_1202","line":35,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1202","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L30-L33","name":"bitvec_AddSub_1176","line":30,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1176","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L25-L28","name":"bitvec_AddSub_1165","line":25,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1165","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L20-L23","name":"bitvec_AddSub_1164","line":20,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1164","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L15-L18","name":"bitvec_AddSub_1156","line":15,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1156","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L10-L13","name":"bitvec_AddSub_1152","line":10,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1152","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/AliveStatements.lean#L5-L8","name":"bitvec_AddSub_1043","line":5,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/AliveStatements.html#bitvec_AddSub_1043","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp
index c7a015297..c9fabcb21 100644
--- a/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp
+++ b/declarations/declaration-data-SSA.Projects.InstCombine.Base.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.InstCombine.Base","instances":[{"typeNames":["Eq","InstCombine.BaseType"],"name":"InstCombine.instDecidableEqBaseType","className":"Decidable"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instReprBaseType","className":"Repr"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instInhabitedBaseType","className":"Inhabited"},{"typeNames":["InstCombine.BaseType"],"name":"InstCombine.instGoedelBaseType","className":"Goedel"},{"typeNames":["Bitvec"],"name":"InstCombine.instReprBitvec","className":"Repr"},{"typeNames":["InstCombine.Comparison"],"name":"InstCombine.instReprComparison","className":"Repr"},{"typeNames":["Eq","InstCombine.Comparison"],"name":"InstCombine.instDecidableEqComparison","className":"Decidable"},{"typeNames":["InstCombine.Op"],"name":"InstCombine.instReprOp","className":"Repr"},{"typeNames":["Eq","InstCombine.Op"],"name":"InstCombine.instDecidableEqOp","className":"Decidable"},{"typeNames":["InstCombine.Op","InstCombine.BaseType","InstCombine.instGoedelBaseType"],"name":"InstCombine.TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Util","SSA.Projects.InstCombine.ForMathlib"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L175-L175","name":"InstCombine.dsl_opIcmp_sle_","line":175,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sle_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L174-L174","name":"InstCombine.dsl_opIcmp_slt_","line":174,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_slt_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L173-L173","name":"InstCombine.dsl_opIcmp_sge_","line":173,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sge_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L172-L172","name":"InstCombine.dsl_opIcmp_sgt_","line":172,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_sgt_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L171-L171","name":"InstCombine.dsl_opIcmp_ule_","line":171,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ule_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L170-L170","name":"InstCombine.dsl_opIcmp_ult_","line":170,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ult_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L169-L169","name":"InstCombine.dsl_opIcmp_uge_","line":169,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_uge_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L168-L168","name":"InstCombine.dsl_opIcmp_ugt_","line":168,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ugt_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L167-L167","name":"InstCombine.dsl_opIcmp_ne_","line":167,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_ne_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L166-L166","name":"InstCombine.dsl_opIcmp_eq_","line":166,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opIcmp_eq_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L165-L165","name":"InstCombine.dsl_opSelect_","line":165,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSelect_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L164-L164","name":"InstCombine.dsl_opSrem_","line":164,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.dsl_opSrem_","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115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},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L105-L138","name":"InstCombine.eval","line":105,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.eval","doc":""},"header":"Bitvec.ofBool (a &&& b == 0) &&& Bitvec.ofBool (a &&& d == 0) = Bitvec.ofBool (a &&& (b ||| d) == 0)
def\nInstCombine.eval\n(o : InstCombine.Op)\n\n(arg : ⟦InstCombine.argUserType o⟧)\n\n(_rgn : ⟦InstCombine.rgnDom o⟧ → ⟦InstCombine.rgnCod o⟧)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L101-L101","name":"InstCombine.rgnCod","line":101,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.rgnCod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L99-L99","name":"InstCombine.rgnDom","line":99,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.rgnDom","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L89-L96","name":"InstCombine.outUserType","line":89,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L79-L86","name":"InstCombine.argUserType","line":79,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L76-L76","name":"InstCombine.instDecidableEqOp","line":76,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqOp","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L76-L76","name":"InstCombine.instReprOp","line":76,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprOp","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L75-L75","name":"InstCombine.Op.const","line":75,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.const","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L74-L74","name":"InstCombine.Op.icmp","line":74,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.icmp","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L73-L73","name":"InstCombine.Op.udiv","line":73,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.udiv","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L72-L72","name":"InstCombine.Op.sdiv","line":72,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.sdiv","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L71-L71","name":"InstCombine.Op.copy","line":71,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.copy","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L70-L70","name":"InstCombine.Op.neg","line":70,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.neg","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L69-L69","name":"InstCombine.Op.sub","line":69,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.sub","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L68-L68","name":"InstCombine.Op.mul","line":68,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.mul","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L67-L67","name":"InstCombine.Op.add","line":67,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.add","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L66-L66","name":"InstCombine.Op.select","line":66,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.select","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L65-L65","name":"InstCombine.Op.srem","line":65,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.srem","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L64-L64","name":"InstCombine.Op.urem","line":64,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.urem","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L63-L63","name":"InstCombine.Op.ashr","line":63,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.ashr","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L62-L62","name":"InstCombine.Op.lshr","line":62,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.lshr","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L61-L61","name":"InstCombine.Op.shl","line":61,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.shl","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L60-L60","name":"InstCombine.Op.xor","line":60,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.xor","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L59-L59","name":"InstCombine.Op.not","line":59,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.not","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L58-L58","name":"InstCombine.Op.or","line":58,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.or","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L57-L57","name":"InstCombine.Op.and","line":57,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op.and","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L56-L76","name":"InstCombine.Op","line":56,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Op","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L53-L53","name":"InstCombine.instDecidableEqComparison","line":53,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqComparison","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L53-L53","name":"InstCombine.instReprComparison","line":53,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprComparison","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L52-L52","name":"InstCombine.Comparison.sle","line":52,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sle","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L51-L51","name":"InstCombine.Comparison.slt","line":51,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.slt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L50-L50","name":"InstCombine.Comparison.sge","line":50,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sge","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L49-L49","name":"InstCombine.Comparison.sgt","line":49,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.sgt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L48-L48","name":"InstCombine.Comparison.ule","line":48,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Comparison.ule","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L47-L47","name":"InstCombine.Comparison.ult","line":47,"kind":"ctor","docLink":"./SSA/Projects/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yields true if the operands are equal, false otherwise. No sign interpretation is necessary or performed.\nne: yields true if the operands are unequal, false otherwise. No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L28-L28","name":"InstCombine.UserType","line":28,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.UserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L24-L26","name":"InstCombine.instReprBitvec","line":24,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L20-L22","name":"InstCombine.instGoedelBaseType","line":20,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instGoedelBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L15-L15","name":"InstCombine.instInhabitedBaseType","line":15,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instInhabitedBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L11-L13","name":"InstCombine.instReprBaseType","line":11,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L9-L9","name":"InstCombine.instDecidableEqBaseType","line":9,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"header":""}]}
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},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L105-L138","name":"InstCombine.eval","line":105,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.eval","doc":""},"header":"def\nInstCombine.eval\n(o : InstCombine.Op)\n\n(arg : ⟦InstCombine.argUserType o⟧)\n\n(_rgn : ⟦InstCombine.rgnDom o⟧ → ⟦InstCombine.rgnCod o⟧)\n :
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No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L28-L28","name":"InstCombine.UserType","line":28,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.UserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L24-L26","name":"InstCombine.instReprBitvec","line":24,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L20-L22","name":"InstCombine.instGoedelBaseType","line":20,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instGoedelBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L15-L15","name":"InstCombine.instInhabitedBaseType","line":15,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instInhabitedBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L11-L13","name":"InstCombine.instReprBaseType","line":11,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instReprBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L9-L9","name":"InstCombine.instDecidableEqBaseType","line":9,"kind":"instance","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.instDecidableEqBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp
index 481d77ed2..b6127dae3 100644
--- a/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp
+++ b/declarations/declaration-data-SSA.Projects.InstCombine.ForMathlib.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.InstCombine.ForMathlib","instances":[{"typeNames":["Vector","Fin","Vector","Fin","True"],"name":"Vector.instGetElemVectorFinTrue","className":"GetElem"},{"typeNames":["Bitvec","Fin","Bool","Bitvec","Fin","True"],"name":"Bitvec.instGetElemBitvecFinBoolTrue","className":"GetElem"},{"typeNames":["Bitvec"],"name":"Bitvec.instInhabitedBitvec","className":"Inhabited"},{"typeNames":["Bitvec.Fun","Bitvec"],"name":"Bitvec.instCoeFunBitvec","className":"Coe"},{"typeNames":["Bitvec","Bitvec.Fun"],"name":"Bitvec.instCoeBitvecFun","className":"Coe"},{"typeNames":["Nat","Bitvec"],"name":"Bitvec.instSMulNatBitvec","className":"SMul"},{"typeNames":["Nat","LinearOrderedCommMonoidWithZero.toZero","Nat","Nat.linearOrderedCommMonoidWithZero","HPow.hPow","Nat","instHPow","instPowNat","OfNat.ofNat","instOfNatNat"],"name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","className":"NeZero"},{"typeNames":["Int","Bitvec"],"name":"Bitvec.instSMulIntBitvec","className":"SMul"},{"typeNames":["Bitvec"],"name":"Bitvec.instAddCommGroupBitvec","className":"AddCommGroup"},{"typeNames":["Bitvec.Refinement"],"name":"Bitvec.Refinement.instDecidableRelOptionRefinement","className":"Decidable"},{"typeNames":["Eq","Bitvec"],"name":"Bitvec.instDecidableEqBitvec","className":"Decidable"},{"typeNames":["Bool","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","className":"Coe"},{"typeNames":["Bitvec","OfNat.ofNat","Nat","instOfNatNat","Bool"],"name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","className":"Coe"},{"typeNames":["_builtin_prop","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.decPropToBitvec1","className":"CoeDep"},{"typeNames":["Bitvec.ult"],"name":"Bitvec.instDecidableUlt","className":"Decidable"},{"typeNames":["Bitvec.ule"],"name":"Bitvec.instDecidableUle","className":"Decidable"},{"typeNames":["Bitvec.ugt"],"name":"Bitvec.instDecidableUgt","className":"Decidable"},{"typeNames":["Bitvec.uge"],"name":"Bitvec.instDecidableUge","className":"Decidable"},{"typeNames":["Bitvec.slt"],"name":"Bitvec.instDecidableSlt","className":"Decidable"},{"typeNames":["Bitvec.sle"],"name":"Bitvec.instDecidableSle","className":"Decidable"},{"typeNames":["Bitvec.sgt"],"name":"Bitvec.instDecidableSgt","className":"Decidable"},{"typeNames":["Bitvec.sge"],"name":"Bitvec.instDecidableSge","className":"Decidable"}],"imports":["Init","Mathlib.Data.Vector","Mathlib.Data.Bitvec.Defs","Mathlib.Data.Bitvec.Lemmas","Mathlib.Algebra.Group.InjSurj","Mathlib.Tactic.Ring","Mathlib.Data.Int.Cast.Lemmas","Mathlib.Data.ZMod.Basic","Mathlib.Order.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L605-L605","name":"Bitvec.«term_>ₛ_»","line":605,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L604-L604","name":"Bitvec.«term_≥ₛ_»","line":604,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L603-L603","name":"Bitvec.«term_<ₛ_»","line":603,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L602-L602","name":"Bitvec.«term_≤ₛ_»","line":602,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L600-L600","name":"Bitvec.«term_>ᵤ_»","line":600,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L599-L599","name":"Bitvec.«term_≥ᵤ_»","line":599,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L598-L598","name":"Bitvec.«term_<ᵤ_»","line":598,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L597-L597","name":"Bitvec.«term_≤ᵤ_»","line":597,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L595-L595","name":"Bitvec.instDecidableSge","line":595,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSge","doc":""},"header":"instance\nBitvec.instDecidableSge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L594-L594","name":"Bitvec.instDecidableSgt","line":594,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSgt","doc":""},"header":"Decidable (Bitvec.sge x y)
instance\nBitvec.instDecidableSgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L593-L593","name":"Bitvec.instDecidableSle","line":593,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSle","doc":""},"header":"Decidable (Bitvec.sgt x y)
instance\nBitvec.instDecidableSle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L592-L592","name":"Bitvec.instDecidableSlt","line":592,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSlt","doc":""},"header":"Decidable (Bitvec.sle x y)
instance\nBitvec.instDecidableSlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L585-L585","name":"Bitvec.instDecidableUge","line":585,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUge","doc":""},"header":"Decidable (Bitvec.slt x y)
instance\nBitvec.instDecidableUge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L584-L584","name":"Bitvec.instDecidableUgt","line":584,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUgt","doc":""},"header":"Decidable (Bitvec.uge x y)
instance\nBitvec.instDecidableUgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L583-L583","name":"Bitvec.instDecidableUle","line":583,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUle","doc":""},"header":"Decidable (Bitvec.ugt x y)
instance\nBitvec.instDecidableUle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L582-L582","name":"Bitvec.instDecidableUlt","line":582,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUlt","doc":""},"header":"Decidable (Bitvec.ule x y)
instance\nBitvec.instDecidableUlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L575-L575","name":"Bitvec.«term_>>>ₛ_»","line":575,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>>>ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L571-L572","name":"Bitvec.decPropToBitvec1","line":571,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.decPropToBitvec1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L569-L569","name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","line":569,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L566-L566","name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","line":566,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L563-L563","name":"Bitvec.ofBool_toBool","line":563,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool_toBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L558-L558","name":"Bitvec.ofBool","line":558,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L556-L556","name":"Bitvec.beq","line":556,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.beq","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L551-L554","name":"Bitvec.one_sdiv_ref_add_cmp_select","line":551,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_ref_add_cmp_select","doc":""},"header":"Decidable (Bitvec.ult x y)
theorem\nBitvec.one_sdiv_ref_add_cmp_select\n{w : ℕ}\n\n{x : Bitvec w}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L542-L549","name":"Bitvec.one_sdiv_eq_add_cmp_select_some","line":542,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_eq_add_cmp_select_some","doc":""},"header":"Bitvec.sdiv? (Bitvec.ofInt w 1) x ⊑ some\n (Bitvec.select\n (Nat.blt (Bitvec.toNat (Bitvec.add x (Bitvec.ofNat w 1))) (Bitvec.toNat (Bitvec.ofNat w 3)) ::ᵥ Vector.nil) x\n (Bitvec.ofNat w 0))
theorem\nBitvec.one_sdiv_eq_add_cmp_select_some\n{w : ℕ}\n\n{x : Bitvec w}\n\n(hw : w > 1)\n\n(hx : x ≠ 0)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L505-L505","name":"Bitvec.instDecidableEqBitvec","line":505,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableEqBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L503-L503","name":"Bitvec.«term_⊑_»","line":503,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_⊑_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L489-L499","name":"Bitvec.Refinement.instDecidableRelOptionRefinement","line":489,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.instDecidableRelOptionRefinement","doc":""},"header":"Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
instance\nBitvec.Refinement.instDecidableRelOptionRefinement\n{α : Type u}\n\n[inst : DecidableEq α]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L483-L487","name":"Bitvec.Refinement.Refinement.trans","line":483,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.trans","doc":""},"header":"DecidableRel Bitvec.Refinement
theorem\nBitvec.Refinement.Refinement.trans\n{α : Type u}\n\n(x : Option α)\n\n(y : Option α)\n\n(z : Option α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L478-L481","name":"Bitvec.Refinement.Refinement.refl","line":478,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.refl","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L472-L474","name":"Bitvec.Refinement.some_some","line":472,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.some_some","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L470-L470","name":"Bitvec.Refinement.noneAny","line":470,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.noneAny","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L469-L469","name":"Bitvec.Refinement.bothSome","line":469,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.bothSome","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L468-L470","name":"Bitvec.Refinement","line":468,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"header":"theorem\nBitvec.shl_ushr_eq_and_shl\n{w : ℕ}\n\n{x : Bitvec w}\n\n{C : Bitvec w}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L445-L451","name":"Bitvec.get?_ofInt_neg_one","line":445,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ofInt_neg_one","doc":""},"header":"Bitvec.shl (Bitvec.ushr x (Bitvec.toNat C)) (Bitvec.toNat C) = Bitvec.and x (Bitvec.shl (Bitvec.ofInt w (-1)) (Bitvec.toNat C))
theorem\nBitvec.get?_ofInt_neg_one\n{w : ℕ}\n\n{i : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L439-L443","name":"Bitvec.match_does_not_fold_away","line":439,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.match_does_not_fold_away","doc":""},"header":"List.get? (Vector.toList (Bitvec.ofInt w (-1))) i = if i < w then some true else none
theorem\nBitvec.match_does_not_fold_away\n{w : ℕ}\n\n{i : Fin (List.length (Vector.toList (Bitvec.ofInt w (-1))))}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L432-L437","name":"Bitvec.get?_and","line":432,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_and","doc":""},"header":"List.get (Vector.toList (Bitvec.ofInt w (-1))) i = true
theorem\nBitvec.get?_and\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n\n(i : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L405-L430","name":"Bitvec.get?_ushr","line":405,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ushr","doc":""},"header":"List.get? (Vector.toList (Bitvec.and x y)) i = do\n let __do_lift ← List.get? (Vector.toList x) i\n let __do_lift_1 ← List.get? (Vector.toList y) i\n pure (__do_lift && __do_lift_1)
theorem\nBitvec.get?_ushr\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L385-L403","name":"Bitvec.get?_shl","line":385,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_shl","doc":""},"header":"List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
theorem\nBitvec.get?_shl\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"header":"List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
theorem\nBitvec.toList_cong\n{w₁ : ℕ}\n\n{w₂ : ℕ}\n\n(h : w₁ = w₂)\n\n(b : Bitvec w₁)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L376-L379","name":"Bitvec.ext_get?","line":376,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ext_get?","doc":""},"header":"Vector.toList (Bitvec.cong h b) = Vector.toList b
theorem\nBitvec.ext_get?\n{w : ℕ}\n\n{x : Bitvec w}\n\n{y : Bitvec w}\n\n(h : ∀ (i : ℕ), List.get? (Vector.toList x) i = List.get? (Vector.toList y) i)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L372-L374","name":"Bitvec.bitwise_eq_eq","line":372,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.bitwise_eq_eq","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L332-L335","name":"Bitvec.urem?","line":332,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.urem?","doc":"This instruction returns the unsigned integer remainder of a division. This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by -1.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L300-L300","name":"Bitvec.mul?_some_eq_mul","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?_some_eq_mul","doc":""},"header":"x = y
theorem\nBitvec.mul?_some_eq_mul\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L289-L294","name":"Bitvec.mul?","line":289,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"header":"Bitvec.mul? x y = some z → x * y = z
theorem\nBitvec.some_add?_eq_add\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L279-L281","name":"Bitvec.add?","line":279,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.add?","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L273-L276","name":"Bitvec.instAddCommGroupBitvec","line":273,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instAddCommGroupBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"header":"Bitvec.add? x y = some z → x + y = z
theorem\nBitvec.toZMod_zsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℤ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L265-L265","name":"Bitvec.zsmul_def","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zsmul_def","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L263-L263","name":"Bitvec.instSMulIntBitvec","line":263,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulIntBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"header":"Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
theorem\nBitvec.toInt_neg_aux\n(x : List Bool)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"header":"(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
theorem\nBitvec.toZMod_sub\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"header":"Bitvec.toZMod (x - y) = Bitvec.toZMod x - Bitvec.toZMod y
theorem\nBitvec.toZMod_sbb\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L226-L226","name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","line":226,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","doc":""},"header":"Bitvec.toZMod (Bitvec.sbb x y false).snd = Bitvec.toZMod x - Bitvec.toZMod y
instance\nBitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat\n(n : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"header":"theorem\nBitvec.toInt_sub_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_hx : List.length x = List.length y)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"header":"(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
theorem\nBitvec.toZMod_nsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L197-L197","name":"Bitvec.nsmul_def","line":197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.nsmul_def","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L195-L195","name":"Bitvec.instSMulNatBitvec","line":195,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulNatBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L192-L193","name":"Bitvec.ofZMod_one","line":192,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L171-L172","name":"Bitvec.ofZMod_zero","line":171,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L163-L164","name":"Bitvec.ofNat_zero","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofNat_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L154-L154","name":"Bitvec.zero_def","line":154,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zero_def","doc":""},"header":"Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
theorem\nBitvec.zero_def\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L150-L152","name":"Bitvec.ofZMod_add","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_add","doc":""},"header":"0 = { val := List.replicate n false, property := (_ : List.length ↑0 = n) }
theorem\nBitvec.ofZMod_add\n{n : ℕ}\n\n(x : ZMod (2 ^ n))\n\n(y : ZMod (2 ^ n))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"header":"Bitvec.ofZMod (x + y) = Bitvec.ofZMod x + Bitvec.ofZMod y
theorem\nBitvec.toZMod_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"header":"Bitvec.toZMod (x + y) = Bitvec.toZMod x + Bitvec.toZMod y
theorem\nBitvec.toNat_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"header":"Bitvec.toNat (x + y) = (Bitvec.toNat x + Bitvec.toNat y) % 2 ^ n
theorem\nBitvec.toNat_tail\n{n : ℕ}\n\n(x : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"header":"Bitvec.toNat (Vector.tail x) = Bitvec.toNat x % 2 ^ (n - 1)
theorem\nBitvec.toNat_adc\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"header":"Bitvec.toNat (Bitvec.adc x y false) = Bitvec.toNat x + Bitvec.toNat y
theorem\nBitvec.toNat_adc_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_h : List.length x = List.length y)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L98-L102","name":"Bitvec.foldl_addLsb_cons_zero","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_cons_zero","doc":""},"header":"List.foldl Bitvec.addLsb\n (Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).fst)\n (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
theorem\nBitvec.foldl_addLsb_cons_zero\n(a : Bool)\n\n(x : List Bool)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L94-L96","name":"Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","line":94,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","doc":""},"header":"List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
theorem\nBitvec.foldl_addLsb_eq_add_foldl_addLsb_zero\n(x : List Bool)\n\n(k : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L84-L92","name":"Bitvec.foldl_addLsb_add","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_add","doc":""},"header":"List.foldl Bitvec.addLsb k x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb 0 x
theorem\nBitvec.foldl_addLsb_add\n(n : ℕ)\n\n(k : ℕ)\n\n(x : List Bool)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L80-L82","name":"Bitvec.ofZMod_toZMod","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_toZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L73-L74","name":"Bitvec.ofZMod","line":73,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"header":"List.foldl Bitvec.addLsb (n + k) x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb n x
theorem\nBitvec.toZMod_val\n{n : ℕ}\n\n(v : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L51-L51","name":"Bitvec.«term𝟷»","line":51,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L50-L50","name":"Bitvec.«term𝟶»","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L49-L49","name":"Bitvec.«term𝟷_»","line":49,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L48-L48","name":"Bitvec.«term𝟶_»","line":48,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L44-L44","name":"Bitvec.ofVector","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofVector","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L42-L42","name":"Bitvec.instCoeBitvecFun","line":42,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecFun","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L41-L41","name":"Bitvec.instCoeFunBitvec","line":41,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeFunBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L34-L35","name":"Bitvec.ofFun","line":34,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofFun","doc":"convert `Bitvec n` to `Fin n → Bool` "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L31-L31","name":"Bitvec.Fun","line":31,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Fun","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L28-L29","name":"Bitvec.instInhabitedBitvec","line":28,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instInhabitedBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L25-L26","name":"Bitvec.instGetElemBitvecFinBoolTrue","line":25,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instGetElemBitvecFinBoolTrue","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L22-L22","name":"Bitvec.width","line":22,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.width","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L16-L16","name":"Vector.getElem_eq_get","line":16,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.getElem_eq_get","doc":""},"header":"ZMod.val (Bitvec.toZMod v) = Bitvec.toNat v
theorem\nVector.getElem_eq_get\n{α : Type u}\n\n{n : ℕ}\n\n(v : Vector α n)\n\n(i : Fin n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L12-L13","name":"Vector.instGetElemVectorFinTrue","line":12,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.instGetElemVectorFinTrue","doc":""},"header":""}]}
\ No newline at end of file
+{"name":"SSA.Projects.InstCombine.ForMathlib","instances":[{"typeNames":["Vector","Fin","Vector","Fin","True"],"name":"Vector.instGetElemVectorFinTrue","className":"GetElem"},{"typeNames":["Bitvec","Fin","Bool","Bitvec","Fin","True"],"name":"Bitvec.instGetElemBitvecFinBoolTrue","className":"GetElem"},{"typeNames":["Bitvec"],"name":"Bitvec.instInhabitedBitvec","className":"Inhabited"},{"typeNames":["Bitvec.Fun","Bitvec"],"name":"Bitvec.instCoeFunBitvec","className":"Coe"},{"typeNames":["Bitvec","Bitvec.Fun"],"name":"Bitvec.instCoeBitvecFun","className":"Coe"},{"typeNames":["Nat","Bitvec"],"name":"Bitvec.instSMulNatBitvec","className":"SMul"},{"typeNames":["Nat","LinearOrderedCommMonoidWithZero.toZero","Nat","Nat.linearOrderedCommMonoidWithZero","HPow.hPow","Nat","instHPow","instPowNat","OfNat.ofNat","instOfNatNat"],"name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","className":"NeZero"},{"typeNames":["Int","Bitvec"],"name":"Bitvec.instSMulIntBitvec","className":"SMul"},{"typeNames":["Bitvec"],"name":"Bitvec.instAddCommGroupBitvec","className":"AddCommGroup"},{"typeNames":["Bitvec.Refinement"],"name":"Bitvec.Refinement.instDecidableRelOptionRefinement","className":"Decidable"},{"typeNames":["Eq","Bitvec"],"name":"Bitvec.instDecidableEqBitvec","className":"Decidable"},{"typeNames":["Bool","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","className":"Coe"},{"typeNames":["Bitvec","OfNat.ofNat","Nat","instOfNatNat","Bool"],"name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","className":"Coe"},{"typeNames":["_builtin_prop","Bitvec","OfNat.ofNat","Nat","instOfNatNat"],"name":"Bitvec.decPropToBitvec1","className":"CoeDep"},{"typeNames":["Bitvec.ult"],"name":"Bitvec.instDecidableUlt","className":"Decidable"},{"typeNames":["Bitvec.ule"],"name":"Bitvec.instDecidableUle","className":"Decidable"},{"typeNames":["Bitvec.ugt"],"name":"Bitvec.instDecidableUgt","className":"Decidable"},{"typeNames":["Bitvec.uge"],"name":"Bitvec.instDecidableUge","className":"Decidable"},{"typeNames":["Bitvec.slt"],"name":"Bitvec.instDecidableSlt","className":"Decidable"},{"typeNames":["Bitvec.sle"],"name":"Bitvec.instDecidableSle","className":"Decidable"},{"typeNames":["Bitvec.sgt"],"name":"Bitvec.instDecidableSgt","className":"Decidable"},{"typeNames":["Bitvec.sge"],"name":"Bitvec.instDecidableSge","className":"Decidable"}],"imports":["Init","Mathlib.Data.Vector","Mathlib.Data.Bitvec.Defs","Mathlib.Data.Bitvec.Lemmas","Mathlib.Algebra.Group.InjSurj","Mathlib.Tactic.Ring","Mathlib.Data.Int.Cast.Lemmas","Mathlib.Data.ZMod.Basic","Mathlib.Order.Basic"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L605-L605","name":"Bitvec.«term_>ₛ_»","line":605,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L604-L604","name":"Bitvec.«term_≥ₛ_»","line":604,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L603-L603","name":"Bitvec.«term_<ₛ_»","line":603,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L602-L602","name":"Bitvec.«term_≤ₛ_»","line":602,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L600-L600","name":"Bitvec.«term_>ᵤ_»","line":600,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L599-L599","name":"Bitvec.«term_≥ᵤ_»","line":599,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≥ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L598-L598","name":"Bitvec.«term_<ᵤ_»","line":598,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_<ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L597-L597","name":"Bitvec.«term_≤ᵤ_»","line":597,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_≤ᵤ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L595-L595","name":"Bitvec.instDecidableSge","line":595,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSge","doc":""},"header":"v[i] = Vector.get v i
instance\nBitvec.instDecidableSge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L594-L594","name":"Bitvec.instDecidableSgt","line":594,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSgt","doc":""},"header":"Decidable (Bitvec.sge x y)
instance\nBitvec.instDecidableSgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L593-L593","name":"Bitvec.instDecidableSle","line":593,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSle","doc":""},"header":"Decidable (Bitvec.sgt x y)
instance\nBitvec.instDecidableSle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L592-L592","name":"Bitvec.instDecidableSlt","line":592,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableSlt","doc":""},"header":"Decidable (Bitvec.sle x y)
instance\nBitvec.instDecidableSlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L585-L585","name":"Bitvec.instDecidableUge","line":585,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUge","doc":""},"header":"Decidable (Bitvec.slt x y)
instance\nBitvec.instDecidableUge\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L584-L584","name":"Bitvec.instDecidableUgt","line":584,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUgt","doc":""},"header":"Decidable (Bitvec.uge x y)
instance\nBitvec.instDecidableUgt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L583-L583","name":"Bitvec.instDecidableUle","line":583,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUle","doc":""},"header":"Decidable (Bitvec.ugt x y)
instance\nBitvec.instDecidableUle\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L582-L582","name":"Bitvec.instDecidableUlt","line":582,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableUlt","doc":""},"header":"Decidable (Bitvec.ule x y)
instance\nBitvec.instDecidableUlt\n{w : ℕ}\n\n(x : Bitvec w)\n\n(y : Bitvec w)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L575-L575","name":"Bitvec.«term_>>>ₛ_»","line":575,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_>>>ₛ_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L571-L572","name":"Bitvec.decPropToBitvec1","line":571,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.decPropToBitvec1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L569-L569","name":"Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","line":569,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecOfNatNatInstOfNatNatBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L566-L566","name":"Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","line":566,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBoolBitvecOfNatNatInstOfNatNat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L563-L563","name":"Bitvec.ofBool_toBool","line":563,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool_toBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L558-L558","name":"Bitvec.ofBool","line":558,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofBool","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L556-L556","name":"Bitvec.beq","line":556,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.beq","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L551-L554","name":"Bitvec.one_sdiv_ref_add_cmp_select","line":551,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_ref_add_cmp_select","doc":""},"header":"Decidable (Bitvec.ult x y)
theorem\nBitvec.one_sdiv_ref_add_cmp_select\n{w : ℕ}\n\n{x : Bitvec w}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L542-L549","name":"Bitvec.one_sdiv_eq_add_cmp_select_some","line":542,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.one_sdiv_eq_add_cmp_select_some","doc":""},"header":"Bitvec.sdiv? (Bitvec.ofInt w 1) x ⊑ some\n (Bitvec.select\n (Nat.blt (Bitvec.toNat (Bitvec.add x (Bitvec.ofNat w 1))) (Bitvec.toNat (Bitvec.ofNat w 3)) ::ᵥ Vector.nil) x\n (Bitvec.ofNat w 0))
theorem\nBitvec.one_sdiv_eq_add_cmp_select_some\n{w : ℕ}\n\n{x : Bitvec w}\n\n(hw : w > 1)\n\n(hx : x ≠ 0)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L505-L505","name":"Bitvec.instDecidableEqBitvec","line":505,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instDecidableEqBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L503-L503","name":"Bitvec.«term_⊑_»","line":503,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term_⊑_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L489-L499","name":"Bitvec.Refinement.instDecidableRelOptionRefinement","line":489,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.instDecidableRelOptionRefinement","doc":""},"header":"Bitvec.sdiv? 1 x = some (Bitvec.select (decide (Bitvec.toNat (x + 1) < 3) ::ᵥ Vector.nil) x 0)
instance\nBitvec.Refinement.instDecidableRelOptionRefinement\n{α : Type u}\n\n[inst : DecidableEq α]\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L483-L487","name":"Bitvec.Refinement.Refinement.trans","line":483,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.trans","doc":""},"header":"DecidableRel Bitvec.Refinement
theorem\nBitvec.Refinement.Refinement.trans\n{α : Type u}\n\n(x : Option α)\n\n(y : Option α)\n\n(z : Option α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L478-L481","name":"Bitvec.Refinement.Refinement.refl","line":478,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.Refinement.refl","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L472-L474","name":"Bitvec.Refinement.some_some","line":472,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.some_some","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L470-L470","name":"Bitvec.Refinement.noneAny","line":470,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.noneAny","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L469-L469","name":"Bitvec.Refinement.bothSome","line":469,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement.bothSome","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L468-L470","name":"Bitvec.Refinement","line":468,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Refinement","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"header":"theorem\nBitvec.shl_ushr_eq_and_shl\n{w : ℕ}\n\n{x : Bitvec w}\n\n{C : Bitvec w}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L445-L451","name":"Bitvec.get?_ofInt_neg_one","line":445,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ofInt_neg_one","doc":""},"header":"Bitvec.shl (Bitvec.ushr x (Bitvec.toNat C)) (Bitvec.toNat C) = Bitvec.and x (Bitvec.shl (Bitvec.ofInt w (-1)) (Bitvec.toNat C))
theorem\nBitvec.get?_ofInt_neg_one\n{w : ℕ}\n\n{i : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L439-L443","name":"Bitvec.match_does_not_fold_away","line":439,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.match_does_not_fold_away","doc":""},"header":"List.get? (Vector.toList (Bitvec.ofInt w (-1))) i = if i < w then some true else none
theorem\nBitvec.match_does_not_fold_away\n{w : ℕ}\n\n{i : Fin (List.length (Vector.toList (Bitvec.ofInt w (-1))))}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L432-L437","name":"Bitvec.get?_and","line":432,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_and","doc":""},"header":"List.get (Vector.toList (Bitvec.ofInt w (-1))) i = true
theorem\nBitvec.get?_and\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n\n(i : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L405-L430","name":"Bitvec.get?_ushr","line":405,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_ushr","doc":""},"header":"List.get? (Vector.toList (Bitvec.and x y)) i = do\n let __do_lift ← List.get? (Vector.toList x) i\n let __do_lift_1 ← List.get? (Vector.toList y) i\n pure (__do_lift && __do_lift_1)
theorem\nBitvec.get?_ushr\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L385-L403","name":"Bitvec.get?_shl","line":385,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.get?_shl","doc":""},"header":"List.get? (Vector.toList (Bitvec.ushr x i)) j = if j < Vector.length x then if j < i then some false else List.get? (Vector.toList x) (j - i) else none
theorem\nBitvec.get?_shl\n{n : ℕ}\n\n(x : Bitvec n)\n\n(i : ℕ)\n\n(j : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"header":"List.get? (Vector.toList (Bitvec.shl x i)) j = if i + j < n then List.get? (Vector.toList x) (i + j) else if j < n then some false else none
theorem\nBitvec.toList_cong\n{w₁ : ℕ}\n\n{w₂ : ℕ}\n\n(h : w₁ = w₂)\n\n(b : Bitvec w₁)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L376-L379","name":"Bitvec.ext_get?","line":376,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ext_get?","doc":""},"header":"Vector.toList (Bitvec.cong h b) = Vector.toList b
theorem\nBitvec.ext_get?\n{w : ℕ}\n\n{x : Bitvec w}\n\n{y : Bitvec w}\n\n(h : ∀ (i : ℕ), List.get? (Vector.toList x) i = List.get? (Vector.toList y) i)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L372-L374","name":"Bitvec.bitwise_eq_eq","line":372,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.bitwise_eq_eq","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L332-L335","name":"Bitvec.urem?","line":332,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.urem?","doc":"This instruction returns the unsigned integer remainder of a division. This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by -1.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L300-L300","name":"Bitvec.mul?_some_eq_mul","line":300,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?_some_eq_mul","doc":""},"header":"x = y
theorem\nBitvec.mul?_some_eq_mul\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L289-L294","name":"Bitvec.mul?","line":289,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.mul?","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"header":"Bitvec.mul? x y = some z → x * y = z
theorem\nBitvec.some_add?_eq_add\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n\n{z : Bitvec n}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L279-L281","name":"Bitvec.add?","line":279,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.add?","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L273-L276","name":"Bitvec.instAddCommGroupBitvec","line":273,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instAddCommGroupBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"header":"Bitvec.add? x y = some z → x + y = z
theorem\nBitvec.toZMod_zsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℤ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L265-L265","name":"Bitvec.zsmul_def","line":265,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zsmul_def","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L263-L263","name":"Bitvec.instSMulIntBitvec","line":263,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulIntBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"header":"Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
theorem\nBitvec.toInt_neg_aux\n(x : List Bool)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"header":"(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr (fun y c => (y || c, xor y c)) x false).snd) - 2 ^ List.length x * bif (List.mapAccumr (fun y c => (y || c, xor y c)) x false).fst then 1 else 0) = -↑(List.foldl Bitvec.addLsb 0 x)
theorem\nBitvec.toZMod_sub\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"header":"Bitvec.toZMod (x - y) = Bitvec.toZMod x - Bitvec.toZMod y
theorem\nBitvec.toZMod_sbb\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L226-L226","name":"Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","line":226,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat","doc":""},"header":"Bitvec.toZMod (Bitvec.sbb x y false).snd = Bitvec.toZMod x - Bitvec.toZMod y
instance\nBitvec.instNeZeroNatToZeroLinearOrderedCommMonoidWithZeroHPowInstHPowInstPowNatOfNat\n(n : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"header":"theorem\nBitvec.toInt_sub_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_hx : List.length x = List.length y)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"header":"(↑(List.foldl Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).snd) - 2 ^ List.length x * bif (List.mapAccumr₂ (fun x y c => (Bool.carry (!x) y c, Bool.xor3 x y c)) x y false).fst then 1 else 0) = ↑(List.foldl Bitvec.addLsb 0 x) + -↑(List.foldl Bitvec.addLsb 0 y)
theorem\nBitvec.toZMod_nsmul\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L197-L197","name":"Bitvec.nsmul_def","line":197,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.nsmul_def","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L195-L195","name":"Bitvec.instSMulNatBitvec","line":195,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instSMulNatBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L192-L193","name":"Bitvec.ofZMod_one","line":192,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L171-L172","name":"Bitvec.ofZMod_zero","line":171,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L163-L164","name":"Bitvec.ofNat_zero","line":163,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofNat_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L154-L154","name":"Bitvec.zero_def","line":154,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.zero_def","doc":""},"header":"Bitvec.toZMod (y • x) = y • Bitvec.toZMod x
theorem\nBitvec.zero_def\n{n : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L150-L152","name":"Bitvec.ofZMod_add","line":150,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_add","doc":""},"header":"0 = { val := List.replicate n false, property := (_ : List.length ↑0 = n) }
theorem\nBitvec.ofZMod_add\n{n : ℕ}\n\n(x : ZMod (2 ^ n))\n\n(y : ZMod (2 ^ n))\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"header":"Bitvec.ofZMod (x + y) = Bitvec.ofZMod x + Bitvec.ofZMod y
theorem\nBitvec.toZMod_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"header":"Bitvec.toZMod (x + y) = Bitvec.toZMod x + Bitvec.toZMod y
theorem\nBitvec.toNat_add\n{n : ℕ}\n\n(x : Bitvec n)\n\n(y : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"header":"Bitvec.toNat (x + y) = (Bitvec.toNat x + Bitvec.toNat y) % 2 ^ n
theorem\nBitvec.toNat_tail\n{n : ℕ}\n\n(x : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"header":"Bitvec.toNat (Vector.tail x) = Bitvec.toNat x % 2 ^ (n - 1)
theorem\nBitvec.toNat_adc\n{n : ℕ}\n\n{x : Bitvec n}\n\n{y : Bitvec n}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"header":"Bitvec.toNat (Bitvec.adc x y false) = Bitvec.toNat x + Bitvec.toNat y
theorem\nBitvec.toNat_adc_aux\n{x : List Bool}\n\n{y : List Bool}\n\n(_h : List.length x = List.length y)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L98-L102","name":"Bitvec.foldl_addLsb_cons_zero","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_cons_zero","doc":""},"header":"List.foldl Bitvec.addLsb\n (Bitvec.addLsb 0 (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).fst)\n (List.mapAccumr₂ (fun x y c => (Bool.carry x y c, Bool.xor3 x y c)) x y false).snd = List.foldl Bitvec.addLsb 0 x + List.foldl Bitvec.addLsb 0 y
theorem\nBitvec.foldl_addLsb_cons_zero\n(a : Bool)\n\n(x : List Bool)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L94-L96","name":"Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","line":94,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_eq_add_foldl_addLsb_zero","doc":""},"header":"List.foldl Bitvec.addLsb 0 (a :: x) = (2 ^ List.length x * bif a then 1 else 0) + List.foldl Bitvec.addLsb 0 x
theorem\nBitvec.foldl_addLsb_eq_add_foldl_addLsb_zero\n(x : List Bool)\n\n(k : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L84-L92","name":"Bitvec.foldl_addLsb_add","line":84,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.foldl_addLsb_add","doc":""},"header":"List.foldl Bitvec.addLsb k x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb 0 x
theorem\nBitvec.foldl_addLsb_add\n(n : ℕ)\n\n(k : ℕ)\n\n(x : List Bool)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L80-L82","name":"Bitvec.ofZMod_toZMod","line":80,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod_toZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L73-L74","name":"Bitvec.ofZMod","line":73,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"header":"List.foldl Bitvec.addLsb (n + k) x = 2 ^ List.length x * k + List.foldl Bitvec.addLsb n x
theorem\nBitvec.toZMod_val\n{n : ℕ}\n\n(v : Bitvec n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L51-L51","name":"Bitvec.«term𝟷»","line":51,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L50-L50","name":"Bitvec.«term𝟶»","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L49-L49","name":"Bitvec.«term𝟷_»","line":49,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟷_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L48-L48","name":"Bitvec.«term𝟶_»","line":48,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.«term𝟶_»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L44-L44","name":"Bitvec.ofVector","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofVector","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L42-L42","name":"Bitvec.instCoeBitvecFun","line":42,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeBitvecFun","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L41-L41","name":"Bitvec.instCoeFunBitvec","line":41,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instCoeFunBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L34-L35","name":"Bitvec.ofFun","line":34,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ofFun","doc":"convert `Bitvec n` to `Fin n → Bool` "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L31-L31","name":"Bitvec.Fun","line":31,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.Fun","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L28-L29","name":"Bitvec.instInhabitedBitvec","line":28,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instInhabitedBitvec","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L25-L26","name":"Bitvec.instGetElemBitvecFinBoolTrue","line":25,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.instGetElemBitvecFinBoolTrue","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L22-L22","name":"Bitvec.width","line":22,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.width","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L16-L16","name":"Vector.getElem_eq_get","line":16,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.getElem_eq_get","doc":""},"header":"ZMod.val (Bitvec.toZMod v) = Bitvec.toNat v
theorem\nVector.getElem_eq_get\n{α : Type u}\n\n{n : ℕ}\n\n(v : Vector α n)\n\n(i : Fin n)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L12-L13","name":"Vector.instGetElemVectorFinTrue","line":12,"kind":"instance","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Vector.instGetElemVectorFinTrue","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp
index 60ec3a437..326c16273 100644
--- a/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp
+++ b/declarations/declaration-data-SSA.Projects.InstCombine.PeepholeRewrites.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.InstCombine.PeepholeRewrites","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"header":"v[i] = Vector.get v i
def\nexample_macro_2\n(C : Bitvec 32)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"header":"SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
def\nexample_macro_1 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L44-L47","name":"thingy3","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy3","doc":""},"header":"SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
def\nthingy3\n(C : Bitvec 32)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L29-L38","name":"thingy2","line":29,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy2","doc":""},"header":"SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
def\nthingy2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L16-L22","name":"thingy","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy","doc":""},"header":""}]}
\ No newline at end of file
+{"name":"SSA.Projects.InstCombine.PeepholeRewrites","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"header":"SSA.TSSA InstCombine.Op\n (SSA.Context.snoc\n (SSA.Context.snoc SSA.Context.empty (Char.toNat (Char.ofNat 120))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))\n (Char.toNat (Char.ofNat 913)) (SSA.UserType.base (InstCombine.BaseType.bitvec 16)))\n (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
def\nexample_macro_2\n(C : Bitvec 32)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"header":"SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
def\nexample_macro_1 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L44-L47","name":"thingy3","line":44,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy3","doc":""},"header":"SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT SSA.UserType.unit)
def\nthingy3\n(C : Bitvec 32)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L29-L38","name":"thingy2","line":29,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy2","doc":""},"header":"SSA.TSSA InstCombine.Op SSA.Context.empty (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
def\nthingy2 :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L16-L22","name":"thingy","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#thingy","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp b/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp
index 7c8f6bc80..2cd53c0af 100644
--- a/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp
+++ b/declarations/declaration-data-SSA.Projects.InstCombine.Tactic.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.InstCombine.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.ForMathlib"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"header":""}]}
\ No newline at end of file
+{"name":"SSA.Projects.InstCombine.Tactic","instances":[],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Projects.InstCombine.Base","SSA.Projects.InstCombine.ForMathlib"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp b/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp
index ad5d51647..ff3303b0a 100644
--- a/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp
+++ b/declarations/declaration-data-SSA.Projects.Tensor1D.Tensor1D.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.Tensor1D.Tensor1D","instances":[{"typeNames":["Eq","Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instDecidableEqBaseType","className":"Decidable"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instInhabitedBaseType","className":"Inhabited"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instGoedelBaseType","className":"Goedel"},{"typeNames":["Val.ArithScfLinalg.Op","Val.ArithScfLinalg.BaseType","Val.ArithScfLinalg.instGoedelBaseType"],"name":"Val.ArithScfLinalg.TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L434-L464","name":"Val.ArithScfLinalg.extract_map","line":434,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.extract_map","doc":""},"header":"SSA.TSSA InstCombine.Op\n (SSA.Context.snoc\n (SSA.Context.snoc SSA.Context.empty (Char.toNat (Char.ofNat 120))\n (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))\n (Char.toNat (Char.ofNat 913)) (SSA.UserType.base (InstCombine.BaseType.bitvec 16)))\n (SSA.TSSAIndex.STMT (SSA.UserType.base (InstCombine.BaseType.bitvec 32)))
theorem\nVal.ArithScfLinalg.extract_map\n{v : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L429-L429","name":"Val.ArithScfLinalg.Parser.Attr.uncurry","line":429,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.uncurry","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L427-L427","name":"Val.ArithScfLinalg.Parser.Attr.outUserType","line":427,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L426-L426","name":"Val.ArithScfLinalg.Parser.Attr.eval","line":426,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L425-L425","name":"Val.ArithScfLinalg.Parser.Attr.argUserType","line":425,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L423-L423","name":"Val.ArithScfLinalg.Parser.Attr.EnvU.set","line":423,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.EnvU.set","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L422-L422","name":"Val.ArithScfLinalg.Parser.Attr.SSA.teval","line":422,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.SSA.teval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L413-L413","name":"Val.ArithScfLinalg.«dsl_opConst(_)»","line":413,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.«dsl_opConst(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L412-L412","name":"Val.ArithScfLinalg.dsl_opExtract1d","line":412,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opExtract1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L411-L411","name":"Val.ArithScfLinalg.dsl_opMap1d","line":411,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opMap1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L404-L409","name":"Val.ArithScfLinalg.TUS","line":404,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.TUS","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L371-L401","name":"Val.ArithScfLinalg.eval","line":371,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.eval","doc":""},"header":"∀ {c : SSA.Context Val.ArithScfLinalg.BaseType} {e : SSA.EnvC c}\n (r0 :\n SSA.TSSA Val.ArithScfLinalg.Op SSA.Context.empty\n (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom Val.ArithScfLinalg.Op.map1d)\n (SSA.OperationTypes.rgnCod Val.ArithScfLinalg.Op.map1d))),\n SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d (SSA.Context.Var.prev SSA.Context.Var.last) r0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101)\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d SSA.Context.Var.last r0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
def\nVal.ArithScfLinalg.eval\n(o : Val.ArithScfLinalg.Op)\n\n(arg : ⟦Val.ArithScfLinalg.argUserType o⟧)\n\n(_rgn : ⟦Val.ArithScfLinalg.rgnDom o⟧ → ⟦Val.ArithScfLinalg.rgnCod o⟧)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L364-L369","name":"Val.ArithScfLinalg.rgnCod","line":364,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnCod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L356-L361","name":"Val.ArithScfLinalg.rgnDom","line":356,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnDom","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L348-L353","name":"Val.ArithScfLinalg.outUserType","line":348,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L340-L345","name":"Val.ArithScfLinalg.argUserType","line":340,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L336-L336","name":"Val.ArithScfLinalg.UserType","line":336,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.UserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L328-L333","name":"Val.ArithScfLinalg.instGoedelBaseType","line":328,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instGoedelBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instInhabitedBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instInhabitedBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instDecidableEqBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instDecidableEqBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L325-L325","name":"Val.ArithScfLinalg.BaseType.tensor2d","line":325,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L324-L324","name":"Val.ArithScfLinalg.BaseType.tensor1d","line":324,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L323-L323","name":"Val.ArithScfLinalg.BaseType.nat","line":323,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.nat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L322-L322","name":"Val.ArithScfLinalg.BaseType.int","line":322,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.int","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L321-L326","name":"Val.ArithScfLinalg.BaseType","line":321,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L317-L317","name":"Val.ArithScfLinalg.Op.extract1d","line":317,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.extract1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L316-L316","name":"Val.ArithScfLinalg.Op.map1d","line":316,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.map1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L310-L310","name":"Val.ArithScfLinalg.Op.sub","line":310,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.sub","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L309-L309","name":"Val.ArithScfLinalg.Op.const","line":309,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.const","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L308-L308","name":"Val.ArithScfLinalg.Op.add","line":308,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.add","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L307-L317","name":"Val.ArithScfLinalg.Op","line":307,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L287-L295","name":"Val.Tensor1d.tile","line":287,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.tile","doc":""},"header":"theorem\nVal.Tensor1d.tile\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(SIZE : 4 ∣ t.size)\n\n(f : α → α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L261-L264","name":"Val.scf.for.one_n","line":261,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.one_n","doc":""},"header":"Val.Tensor1d.map f t = Val.scf.for (t.size / 4)\n (fun i acc =>\n let tile := Val.Tensor1d.extract t (i * 4) 4;\n let mapped_tile := Val.Tensor1d.map f tile;\n let out := Val.Tensor1d.insertslice acc (i * 4) mapped_tile;\n out)\n Val.Tensor1d.empty
def\nVal.scf.for.one_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L256-L259","name":"Val.scf.for.zero_n","line":256,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.zero_n","doc":""},"header":"Val.scf.for 1 f seed = f 0 seed
theorem\nVal.scf.for.zero_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L231-L234","name":"Val.scf.for.peel_end","line":231,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_end","doc":""},"header":"Val.scf.for 0 f seed = seed
theorem\nVal.scf.for.peel_end\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L225-L228","name":"Val.scf.for.peel_begin","line":225,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_begin","doc":""},"header":"Val.scf.for.loop f (n + 1) 0 (f n seed) = f n (Val.scf.for.loop f n 0 seed)
theorem\nVal.scf.for.peel_begin\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L220-L222","name":"Val.scf.for","line":220,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L213-L218","name":"Val.scf.for.loop","line":213,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.loop","doc":""},"header":"Val.scf.for.loop f (n + 1) n (f 0 seed) = Val.scf.for.loop f (n + 1) (n + 1) seed
def\nVal.scf.for.loop\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(n : ℕ)\n\n(n_minus_i : ℕ)\n\n(acc : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L205-L210","name":"Val.Tensor1d.map_fusion","line":205,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map_fusion","doc":""},"header":"β
theorem\nVal.Tensor1d.map_fusion\n{α : Type}\n\n{g : α → α}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L198-L201","name":"Val.Tensor2d.transpose_involutive","line":198,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose_involutive","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L191-L194","name":"Val.Tensor2d.transpose","line":191,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L189-L189","name":"Val.Tensor2d.val","line":189,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.val","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L188-L188","name":"Val.Tensor2d.size1","line":188,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L187-L187","name":"Val.Tensor2d.size0","line":187,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size0","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L186","name":"Val.Tensor2d.mk","line":186,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.mk","doc":""},"header":"Val.Tensor1d.map (g ∘ f) t = Val.Tensor1d.map g (Val.Tensor1d.map f t)
constructor\nVal.Tensor2d.mk\n{α : Type}\n\n(size0 : ℕ)\n\n(size1 : ℕ)\n\n(val : Fin size0 → Fin size1 → α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L189","name":"Val.Tensor2d","line":186,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L132-L175","name":"Val.extractslice_insertslice","line":132,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.extractslice_insertslice","doc":""},"header":"theorem\nVal.extractslice_insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n\n(CORRECT : (Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size).size ≠ 0)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L123-L125","name":"Val.not_lt_is_geq","line":123,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.not_lt_is_geq","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L100-L121","name":"Val.Tensor1d.insertslice","line":100,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.insertslice","doc":""},"header":"Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
def\nVal.Tensor1d.insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L87-L95","name":"Val.Tensor1d.extract_fill","line":87,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_fill","doc":""},"header":"theorem\nVal.Tensor1d.extract_fill\n{α : Type}\n\n{left : ℕ}\n\n{len : ℕ}\n\n{v : α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L74-L83","name":"Val.Tensor1d.fill","line":74,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.fill","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L64-L72","name":"Val.Tensor1d.extract_map","line":64,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_map","doc":""},"header":"Val.Tensor1d.fill (Val.Tensor1d.extract t left len) v = Val.Tensor1d.extract (Val.Tensor1d.fill t v) left len
theorem\nVal.Tensor1d.extract_map\n{α : Type}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L49-L58","name":"Val.Tensor1d.map","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map","doc":""},"header":"Val.Tensor1d.map f (Val.Tensor1d.extract t left len) = Val.Tensor1d.extract (Val.Tensor1d.map f t) left len
def\nVal.Tensor1d.map\n{α : Type}\n\n[inst : Inhabited α]\n\n(f : α → α)\n\n(t : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L31-L48","name":"Val.Tensor1d.extract","line":31,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract","doc":""},"header":"def\nVal.Tensor1d.extract\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L18-L24","name":"Val.Tensor1d.empty","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.empty","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L13-L13","name":"Val.Tensor1d.spec","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.spec","doc":""},"header":"abbrev\nVal.Tensor1d.spec\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n\n(ix : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L12-L12","name":"Val.Tensor1d.val","line":12,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.val","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L11-L11","name":"Val.Tensor1d.size","line":11,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.size","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L10","name":"Val.Tensor1d.mk","line":10,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.mk","doc":""},"header":"ix ≥ self.size → Val.Tensor1d.val self ix = default
constructor\nVal.Tensor1d.mk\n{α : Type}\n\n[inst : Inhabited α]\n\n(size : ℕ)\n\n(val : ℕ → α)\n\n(spec : ∀ (ix : ℕ), ix ≥ size → val ix = default)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L13","name":"Val.Tensor1d","line":10,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d","doc":""},"header":""}]}
\ No newline at end of file
+{"name":"SSA.Projects.Tensor1D.Tensor1D","instances":[{"typeNames":["Eq","Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instDecidableEqBaseType","className":"Decidable"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instInhabitedBaseType","className":"Inhabited"},{"typeNames":["Val.ArithScfLinalg.BaseType"],"name":"Val.ArithScfLinalg.instGoedelBaseType","className":"Goedel"},{"typeNames":["Val.ArithScfLinalg.Op","Val.ArithScfLinalg.BaseType","Val.ArithScfLinalg.instGoedelBaseType"],"name":"Val.ArithScfLinalg.TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L434-L464","name":"Val.ArithScfLinalg.extract_map","line":434,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.extract_map","doc":""},"header":"theorem\nVal.ArithScfLinalg.extract_map\n{v : ℕ}\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L429-L429","name":"Val.ArithScfLinalg.Parser.Attr.uncurry","line":429,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.uncurry","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L427-L427","name":"Val.ArithScfLinalg.Parser.Attr.outUserType","line":427,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L426-L426","name":"Val.ArithScfLinalg.Parser.Attr.eval","line":426,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L425-L425","name":"Val.ArithScfLinalg.Parser.Attr.argUserType","line":425,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L423-L423","name":"Val.ArithScfLinalg.Parser.Attr.EnvU.set","line":423,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.EnvU.set","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L422-L422","name":"Val.ArithScfLinalg.Parser.Attr.SSA.teval","line":422,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Parser.Attr.SSA.teval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L413-L413","name":"Val.ArithScfLinalg.«dsl_opConst(_)»","line":413,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.«dsl_opConst(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L412-L412","name":"Val.ArithScfLinalg.dsl_opExtract1d","line":412,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opExtract1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L411-L411","name":"Val.ArithScfLinalg.dsl_opMap1d","line":411,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.dsl_opMap1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L404-L409","name":"Val.ArithScfLinalg.TUS","line":404,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.TUS","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L371-L401","name":"Val.ArithScfLinalg.eval","line":371,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.eval","doc":""},"header":"∀ {c : SSA.Context Val.ArithScfLinalg.BaseType} {e : SSA.EnvC c}\n (r0 :\n SSA.TSSA Val.ArithScfLinalg.Op SSA.Context.empty\n (SSA.TSSAIndex.REGION (SSA.OperationTypes.rgnDom Val.ArithScfLinalg.Op.map1d)\n (SSA.OperationTypes.rgnCod Val.ArithScfLinalg.Op.map1d))),\n SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d (SSA.Context.Var.prev SSA.Context.Var.last) r0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101)\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 4\n (SSA.TSSA.triple (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.rgn 0\n (SSA.TSSA.assign 42 SSA.TSSA.unit\n (SSA.TSSA.assign 1 (SSA.TSSA.op (Val.ArithScfLinalg.Op.const v) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 2\n (SSA.TSSA.op (Val.ArithScfLinalg.Op.const 101) (SSA.Context.Var.prev SSA.Context.Var.last) SSA.TSSA.rgn0)\n (SSA.TSSA.assign 3\n (SSA.TSSA.triple\n (SSA.Context.Var.prev (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))\n (SSA.Context.Var.prev SSA.Context.Var.last) SSA.Context.Var.last)\n (SSA.TSSA.assign 4 (SSA.TSSA.op Val.ArithScfLinalg.Op.extract1d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 5 (SSA.TSSA.op Val.ArithScfLinalg.Op.map1d SSA.Context.Var.last r0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))\n e
def\nVal.ArithScfLinalg.eval\n(o : Val.ArithScfLinalg.Op)\n\n(arg : ⟦Val.ArithScfLinalg.argUserType o⟧)\n\n(_rgn : ⟦Val.ArithScfLinalg.rgnDom o⟧ → ⟦Val.ArithScfLinalg.rgnCod o⟧)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L364-L369","name":"Val.ArithScfLinalg.rgnCod","line":364,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnCod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L356-L361","name":"Val.ArithScfLinalg.rgnDom","line":356,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.rgnDom","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L348-L353","name":"Val.ArithScfLinalg.outUserType","line":348,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L340-L345","name":"Val.ArithScfLinalg.argUserType","line":340,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L336-L336","name":"Val.ArithScfLinalg.UserType","line":336,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.UserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L328-L333","name":"Val.ArithScfLinalg.instGoedelBaseType","line":328,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instGoedelBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instInhabitedBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instInhabitedBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L326-L326","name":"Val.ArithScfLinalg.instDecidableEqBaseType","line":326,"kind":"instance","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.instDecidableEqBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L325-L325","name":"Val.ArithScfLinalg.BaseType.tensor2d","line":325,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L324-L324","name":"Val.ArithScfLinalg.BaseType.tensor1d","line":324,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.tensor1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L323-L323","name":"Val.ArithScfLinalg.BaseType.nat","line":323,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.nat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L322-L322","name":"Val.ArithScfLinalg.BaseType.int","line":322,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType.int","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L321-L326","name":"Val.ArithScfLinalg.BaseType","line":321,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.BaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L317-L317","name":"Val.ArithScfLinalg.Op.extract1d","line":317,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.extract1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L316-L316","name":"Val.ArithScfLinalg.Op.map1d","line":316,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.map1d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L310-L310","name":"Val.ArithScfLinalg.Op.sub","line":310,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.sub","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L309-L309","name":"Val.ArithScfLinalg.Op.const","line":309,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.const","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L308-L308","name":"Val.ArithScfLinalg.Op.add","line":308,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op.add","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L307-L317","name":"Val.ArithScfLinalg.Op","line":307,"kind":"inductive","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.ArithScfLinalg.Op","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L287-L295","name":"Val.Tensor1d.tile","line":287,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.tile","doc":""},"header":"theorem\nVal.Tensor1d.tile\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(SIZE : 4 ∣ t.size)\n\n(f : α → α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L261-L264","name":"Val.scf.for.one_n","line":261,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.one_n","doc":""},"header":"Val.Tensor1d.map f t = Val.scf.for (t.size / 4)\n (fun i acc =>\n let tile := Val.Tensor1d.extract t (i * 4) 4;\n let mapped_tile := Val.Tensor1d.map f tile;\n let out := Val.Tensor1d.insertslice acc (i * 4) mapped_tile;\n out)\n Val.Tensor1d.empty
def\nVal.scf.for.one_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L256-L259","name":"Val.scf.for.zero_n","line":256,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.zero_n","doc":""},"header":"Val.scf.for 1 f seed = f 0 seed
theorem\nVal.scf.for.zero_n\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L231-L234","name":"Val.scf.for.peel_end","line":231,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_end","doc":""},"header":"Val.scf.for 0 f seed = seed
theorem\nVal.scf.for.peel_end\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L225-L228","name":"Val.scf.for.peel_begin","line":225,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.peel_begin","doc":""},"header":"Val.scf.for.loop f (n + 1) 0 (f n seed) = f n (Val.scf.for.loop f n 0 seed)
theorem\nVal.scf.for.peel_begin\n{β : Sort u_1}\n\n(n : ℕ)\n\n(f : ℕ → β → β)\n\n(seed : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L220-L222","name":"Val.scf.for","line":220,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L213-L218","name":"Val.scf.for.loop","line":213,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.scf.for.loop","doc":""},"header":"Val.scf.for.loop f (n + 1) n (f 0 seed) = Val.scf.for.loop f (n + 1) (n + 1) seed
def\nVal.scf.for.loop\n{β : Sort u_1}\n\n(f : ℕ → β → β)\n\n(n : ℕ)\n\n(n_minus_i : ℕ)\n\n(acc : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L205-L210","name":"Val.Tensor1d.map_fusion","line":205,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map_fusion","doc":""},"header":"β
theorem\nVal.Tensor1d.map_fusion\n{α : Type}\n\n{g : α → α}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L198-L201","name":"Val.Tensor2d.transpose_involutive","line":198,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose_involutive","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L191-L194","name":"Val.Tensor2d.transpose","line":191,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.transpose","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L189-L189","name":"Val.Tensor2d.val","line":189,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.val","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L188-L188","name":"Val.Tensor2d.size1","line":188,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size1","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L187-L187","name":"Val.Tensor2d.size0","line":187,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.size0","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L186","name":"Val.Tensor2d.mk","line":186,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d.mk","doc":""},"header":"Val.Tensor1d.map (g ∘ f) t = Val.Tensor1d.map g (Val.Tensor1d.map f t)
constructor\nVal.Tensor2d.mk\n{α : Type}\n\n(size0 : ℕ)\n\n(size1 : ℕ)\n\n(val : Fin size0 → Fin size1 → α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L186-L189","name":"Val.Tensor2d","line":186,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L132-L175","name":"Val.extractslice_insertslice","line":132,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.extractslice_insertslice","doc":""},"header":"theorem\nVal.extractslice_insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n\n(CORRECT : (Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size).size ≠ 0)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L123-L125","name":"Val.not_lt_is_geq","line":123,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.not_lt_is_geq","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L100-L121","name":"Val.Tensor1d.insertslice","line":100,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.insertslice","doc":""},"header":"Val.Tensor1d.extract (Val.Tensor1d.insertslice t sliceix slice) sliceix slice.size = slice
def\nVal.Tensor1d.insertslice\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(sliceix : ℕ)\n\n(slice : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L87-L95","name":"Val.Tensor1d.extract_fill","line":87,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_fill","doc":""},"header":"theorem\nVal.Tensor1d.extract_fill\n{α : Type}\n\n{left : ℕ}\n\n{len : ℕ}\n\n{v : α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L74-L83","name":"Val.Tensor1d.fill","line":74,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.fill","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L64-L72","name":"Val.Tensor1d.extract_map","line":64,"kind":"theorem","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract_map","doc":""},"header":"Val.Tensor1d.fill (Val.Tensor1d.extract t left len) v = Val.Tensor1d.extract (Val.Tensor1d.fill t v) left len
theorem\nVal.Tensor1d.extract_map\n{α : Type}\n\n{f : α → α}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L49-L58","name":"Val.Tensor1d.map","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.map","doc":""},"header":"Val.Tensor1d.map f (Val.Tensor1d.extract t left len) = Val.Tensor1d.extract (Val.Tensor1d.map f t) left len
def\nVal.Tensor1d.map\n{α : Type}\n\n[inst : Inhabited α]\n\n(f : α → α)\n\n(t : Val.Tensor1d α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L31-L48","name":"Val.Tensor1d.extract","line":31,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.extract","doc":""},"header":"def\nVal.Tensor1d.extract\n{α : Type}\n\n[inst : Inhabited α]\n\n(t : Val.Tensor1d α)\n\n(left : ℕ)\n\n(len : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L18-L24","name":"Val.Tensor1d.empty","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.empty","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L13-L13","name":"Val.Tensor1d.spec","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.spec","doc":""},"header":"abbrev\nVal.Tensor1d.spec\n{α : Type}\n\n[inst : Inhabited α]\n\n(self : Val.Tensor1d α)\n\n(ix : ℕ)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L12-L12","name":"Val.Tensor1d.val","line":12,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.val","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L11-L11","name":"Val.Tensor1d.size","line":11,"kind":"def","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.size","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L10","name":"Val.Tensor1d.mk","line":10,"kind":"ctor","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d.mk","doc":""},"header":"ix ≥ self.size → Val.Tensor1d.val self ix = default
constructor\nVal.Tensor1d.mk\n{α : Type}\n\n[inst : Inhabited α]\n\n(size : ℕ)\n\n(val : ℕ → α)\n\n(spec : ∀ (ix : ℕ), ix ≥ size → val ix = default)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor1D/Tensor1D.lean#L10-L13","name":"Val.Tensor1d","line":10,"kind":"structure","docLink":"./SSA/Projects/Tensor1D/Tensor1D.html#Val.Tensor1d","doc":""},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp b/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp
index 38e52ff5f..d643688c5 100644
--- a/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp
+++ b/declarations/declaration-data-SSA.Projects.Tensor2D.Tensor2D.bmp
@@ -1 +1 @@
-{"name":"SSA.Projects.Tensor2D.Tensor2D","instances":[{"typeNames":["Eq","BaseType"],"name":"instDecidableEqBaseType","className":"Decidable"},{"typeNames":["BaseType"],"name":"instInhabitedBaseType","className":"Inhabited"},{"typeNames":["BaseType"],"name":"instGoedelBaseType","className":"Goedel"},{"typeNames":["Op","BaseType","instGoedelBaseType"],"name":"TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.EDSLNested","Mathlib.Data.Matrix.Basic","Mathlib.Data.Nat.Basic","SSA.Core.Util","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L203-L224","name":"map_fill_2d","line":203,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#map_fill_2d","doc":""},"header":"theorem\nmap_fill_2d :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L180-L180","name":"dsl_op2Extract2d","line":180,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Extract2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L179-L179","name":"dsl_op2Fill2d","line":179,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Fill2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L178-L178","name":"dsl_op2Map2d","line":178,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Map2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L110-L118","name":"argUserType","line":110,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L106-L106","name":"UserType","line":106,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#UserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L104-L104","name":"instGoedelBaseType","line":104,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instGoedelBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instInhabitedBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instInhabitedBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instDecidableEqBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instDecidableEqBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"Bas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{c : SSA.Context BaseType} {e : SSA.EnvC c} (t : Tensor2d' ℤ) (sz₀ sz₁ ix₀ ix₁ : Index) (i : ℤ),\n SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003 SSA.TSSA.unit\n (SSA.TSSA.assign 10004 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10005\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008 SSA.TSSA.unit\n (SSA.TSSA.assign 10009 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10010\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10011\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 10004 SSA.TSSA.unit\n (SSA.TSSA.assign 10005 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10009\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10010 SSA.TSSA.unit\n (SSA.TSSA.assign 10011 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015 (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
theorem\nTensor2d'.fill_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(v : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"header":"Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
theorem\nTensor2d'.map_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(f : α → β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"header":"Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
def\nTensor2d'.extract\n{α : Type}\n\n(δ₀ : Index)\n\n(δ₁ : Index)\n\n(sz₀ : Index)\n\n(sz₁ : Index)\n\n(t : Tensor2d' α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L44-L44","name":"const","line":44,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#const","doc":"K combinator / constant function. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"header":"theorem\nTensor2d'.map_error\n{α : Type}\n\n{β : Type}\n\n(f : α → β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"header":"Tensor2d'.map f (Tensor2d'.error α) = Tensor2d'.error β
theorem\nTensor2d'.map_functorial\n{β : Type}\n\n{γ : Type}\n\n{α : Type}\n\n(g : β → γ)\n\n(f : α → β)\n\n(t : Tensor2d' α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"header":"Tensor2d'.map (g ∘ f) t = Tensor2d'.map g (Tensor2d'.map f t)
constructor\nTensor2d'.mk\n{α : Type}\n\n(dim₀ : Index)\n\n(dim₁ : Index)\n\n(mat : Matrix (Fin dim₀) (Fin dim₁) α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"header":""}]}
\ No newline at end of file
+{"name":"SSA.Projects.Tensor2D.Tensor2D","instances":[{"typeNames":["Eq","BaseType"],"name":"instDecidableEqBaseType","className":"Decidable"},{"typeNames":["BaseType"],"name":"instInhabitedBaseType","className":"Inhabited"},{"typeNames":["BaseType"],"name":"instGoedelBaseType","className":"Goedel"},{"typeNames":["Op","BaseType","instGoedelBaseType"],"name":"TUS","className":"SSA.TypedUserSemantics"}],"imports":["Init","SSA.Core.WellTypedFramework","SSA.Core.EDSLNested","Mathlib.Data.Matrix.Basic","Mathlib.Data.Nat.Basic","SSA.Core.Util","SSA.Core.Util"],"declarations":[{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L203-L224","name":"map_fill_2d","line":203,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#map_fill_2d","doc":""},"header":"theorem\nmap_fill_2d :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L180-L180","name":"dsl_op2Extract2d","line":180,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Extract2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L179-L179","name":"dsl_op2Fill2d","line":179,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Fill2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L178-L178","name":"dsl_op2Map2d","line":178,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Map2d","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L110-L118","name":"argUserType","line":110,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#argUserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L106-L106","name":"UserType","line":106,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#UserType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L104-L104","name":"instGoedelBaseType","line":104,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instGoedelBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instInhabitedBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instInhabitedBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L97-L97","name":"instDecidableEqBaseType","line":97,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#instDecidableEqBaseType","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"Bas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{c : SSA.Context BaseType} {e : SSA.EnvC c} (t : Tensor2d' ℤ) (sz₀ sz₁ ix₀ ix₁ : Index) (i : ℤ),\n SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003 SSA.TSSA.unit\n (SSA.TSSA.assign 10004 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10005\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008 SSA.TSSA.unit\n (SSA.TSSA.assign 10009 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10010\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10011\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n SSA.Context.Var.last)))))))))))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e = SSA.TSSA.eval\n (SSA.TSSA.assign 9999 SSA.TSSA.unit\n (SSA.TSSA.assign 10000 (SSA.TSSA.op (Op.constIx sz₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10001 SSA.TSSA.unit\n (SSA.TSSA.assign 10002 (SSA.TSSA.op (Op.constIx sz₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10003\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)) SSA.Context.Var.last)\n (SSA.TSSA.assign 10004 SSA.TSSA.unit\n (SSA.TSSA.assign 10005 (SSA.TSSA.op (Op.constIx ix₀) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10006 SSA.TSSA.unit\n (SSA.TSSA.assign 10007 (SSA.TSSA.op (Op.constIx ix₁) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10008\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10009\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last)))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10010 SSA.TSSA.unit\n (SSA.TSSA.assign 10011 (SSA.TSSA.op (Op.constInt i) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10012 SSA.TSSA.unit\n (SSA.TSSA.assign 10013\n (SSA.TSSA.op (Op.constTensor t) SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10014\n (SSA.TSSA.pair (SSA.Context.Var.prev (SSA.Context.Var.prev SSA.Context.Var.last))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10015 (SSA.TSSA.op Op.fill2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.assign 10016\n (SSA.TSSA.pair\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev\n (SSA.Context.Var.prev SSA.Context.Var.last))))))\n SSA.Context.Var.last)\n (SSA.TSSA.assign 10017\n (SSA.TSSA.op Op.extract2d SSA.Context.Var.last SSA.TSSA.rgn0)\n (SSA.TSSA.ret SSA.Context.Var.last))))))))))))))))))))\n e
theorem\nTensor2d'.fill_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(v : β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"header":"Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.fill v t) = Tensor2d'.fill v (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
theorem\nTensor2d'.map_extract\n{α : Type}\n\n{β : Type}\n\n(δ₀ : ℕ)\n\n(δ₁ : ℕ)\n\n(sz₀ : ℕ)\n\n(sz₁ : ℕ)\n\n(t : Tensor2d' α)\n\n(f : α → β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"header":"Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ (Tensor2d'.map f t) = Tensor2d'.map f (Tensor2d'.extract δ₀ δ₁ sz₀ sz₁ t)
def\nTensor2d'.extract\n{α : Type}\n\n(δ₀ : Index)\n\n(δ₁ : Index)\n\n(sz₀ : Index)\n\n(sz₁ : Index)\n\n(t : Tensor2d' α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L44-L44","name":"const","line":44,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#const","doc":"K combinator / constant function. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"header":"theorem\nTensor2d'.map_error\n{α : Type}\n\n{β : Type}\n\n(f : α → β)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"header":"Tensor2d'.map f (Tensor2d'.error α) = Tensor2d'.error β
theorem\nTensor2d'.map_functorial\n{β : Type}\n\n{γ : Type}\n\n{α : Type}\n\n(g : β → γ)\n\n(f : α → β)\n\n(t : Tensor2d' α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"header":"Tensor2d'.map (g ∘ f) t = Tensor2d'.map g (Tensor2d'.map f t)
constructor\nTensor2d'.mk\n{α : Type}\n\n(dim₀ : Index)\n\n(dim₁ : Index)\n\n(mat : Matrix (Fin dim₀) (Fin dim₁) α)\n :
"},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"header":""},{"info":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"header":""}]}
\ No newline at end of file
diff --git a/declarations/declaration-data.bmp b/declarations/declaration-data.bmp
index 9dfdcd383..90337a097 100644
--- a/declarations/declaration-data.bmp
+++ b/declarations/declaration-data.bmp
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"},"«term_≤_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L304-L304","name":"«term_≤_»","line":304,"kind":"def","docLink":"./Init/Notation.html#«term_≤_»","doc":"The less-equal relation: `x ≤ y` "},"«term_≠_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L563-L563","name":"«term_≠_»","line":563,"kind":"def","docLink":"./Init/Core.html#«term_≠_»","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"«term_≈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L343-L343","name":"«term_≈_»","line":343,"kind":"def","docLink":"./Init/Core.html#«term_≈_»","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"«term_∨_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L329-L329","name":"«term_∨_»","line":329,"kind":"def","docLink":"./Init/Notation.html#«term_∨_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_∧_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L327-L327","name":"«term_∧_»","line":327,"kind":"def","docLink":"./Init/Notation.html#«term_∧_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_∘_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L268-L268","name":"«term_∘_»","line":268,"kind":"def","docLink":"./Init/Notation.html#«term_∘_»","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"«term_∉_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L337-L338","name":"«term_∉_»","line":337,"kind":"def","docLink":"./Init/Notation.html#«term_∉_»","doc":"`a ∉ b` is negated elementhood. It is notation for `¬ (a ∈ b)`. "},"«term_∈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L336-L336","name":"«term_∈_»","line":336,"kind":"def","docLink":"./Init/Notation.html#«term_∈_»","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"«term_↔_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L95-L95","name":"«term_↔_»","line":95,"kind":"def","docLink":"./Init/Core.html#«term_↔_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_×_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L269-L269","name":"«term_×_»","line":269,"kind":"def","docLink":"./Init/Notation.html#«term_×_»","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"«term_×__1»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L87-L87","name":"«term_×__1»","line":87,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×__1»","doc":""},"«term_×'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L88-L88","name":"«term_×'_»","line":88,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×'_»","doc":""},"«term_|||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L271-L271","name":"«term_|||_»","line":271,"kind":"def","docLink":"./Init/Notation.html#«term_|||_»","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L333-L333","name":"«term_||_»","line":333,"kind":"def","docLink":"./Init/Notation.html#«term_||_»","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not evaluated.\n"},"«term_|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L428-L432","name":"«term_|>_»","line":428,"kind":"def","docLink":"./Init/Notation.html#«term_|>_»","doc":"Haskell-like pipe operator `|>`. `x |> f` means the same as the same as `f x`,\nand it chains such that `x |> f |> g` is interpreted as `g (f x)`.\n"},"«term__[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L834-L835","name":"«term__[_]»","line":834,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term__[_]_?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L86-L86","name":"«term__[_]_?»","line":86,"kind":"def","docLink":"./Init/Util.html#«term__[_]_?»","doc":""},"«term__[_]_!»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L87-L87","name":"«term__[_]_!»","line":87,"kind":"def","docLink":"./Init/Util.html#«term__[_]_!»","doc":""},"«term__[_]'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L838-L839","name":"«term__[_]'_»","line":838,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]'_»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term_^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L281-L281","name":"«term_^_»","line":281,"kind":"def","docLink":"./Init/Notation.html#«term_^_»","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"«term_^^^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L272-L272","name":"«term_^^^_»","line":272,"kind":"def","docLink":"./Init/Notation.html#«term_^^^_»","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_\\/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L328-L328","name":"«term_\\/_»","line":328,"kind":"def","docLink":"./Init/Notation.html#«term_\\/_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L308-L308","name":"«term_>_»","line":308,"kind":"def","docLink":"./Init/Notation.html#«term_>_»","doc":"`a > b` is an abbreviation for `b < a`. "},"«term_>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L342-L342","name":"«term_>>_»","line":342,"kind":"def","docLink":"./Init/Notation.html#«term_>>_»","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_>>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L280-L280","name":"«term_>>>_»","line":280,"kind":"def","docLink":"./Init/Notation.html#«term_>>>_»","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"«term_>>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L343-L343","name":"«term_>>=_»","line":343,"kind":"def","docLink":"./Init/Notation.html#«term_>>=_»","doc":"If `x : m α` and `f : α → m β`, then `x >>= f : m β` represents the\nresult of executing `x` to get a value of type `α` and then passing it to `f`. "},"«term_>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L306-L306","name":"«term_>=_»","line":306,"kind":"def","docLink":"./Init/Notation.html#«term_>=_»","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"«term_>=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L252-L252","name":"«term_>=>_»","line":252,"kind":"def","docLink":"./Init/Control/Basic.html#«term_>=>_»","doc":"Left-to-right composition of Kleisli arrows. "},"«term_=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L309-L309","name":"«term_=_»","line":309,"kind":"def","docLink":"./Init/Notation.html#«term_=_»","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"«term_==_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L310-L310","name":"«term_==_»","line":310,"kind":"def","docLink":"./Init/Notation.html#«term_==_»","doc":"Boolean equality, notated as `a == b`. "},"«term_=<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L254-L254","name":"«term_=<<_»","line":254,"kind":"def","docLink":"./Init/Control/Basic.html#«term_=<<_»","doc":"Same as `Bind.bind` but with arguments swapped. "},"«term_<||>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L58-L58","name":"«term_<||>_»","line":58,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<||>_»","doc":""},"«term_<|_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L417-L422","name":"«term_<|_»","line":417,"kind":"def","docLink":"./Init/Notation.html#«term_<|_»","doc":"Haskell-like pipe operator `<|`. `f <| x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f <| g <| x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L341-L341","name":"«term_<|>_»","line":341,"kind":"def","docLink":"./Init/Notation.html#«term_<|>_»","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L305-L305","name":"«term_<_»","line":305,"kind":"def","docLink":"./Init/Notation.html#«term_<_»","doc":"The less-than relation: `x < y` "},"«term_<=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L303-L303","name":"«term_<=_»","line":303,"kind":"def","docLink":"./Init/Notation.html#«term_<=_»","doc":"The less-equal relation: `x ≤ y` "},"«term_<=<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L253-L253","name":"«term_<=<_»","line":253,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<=<_»","doc":"Right-to-left composition of Kleisli arrows. "},"«term_<<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L279-L279","name":"«term_<<<_»","line":279,"kind":"def","docLink":"./Init/Notation.html#«term_<<<_»","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"«term_<->_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L94-L94","name":"«term_<->_»","line":94,"kind":"def","docLink":"./Init/Core.html#«term_<->_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_<*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L345-L345","name":"«term_<*_»","line":345,"kind":"def","docLink":"./Init/Notation.html#«term_<*_»","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_<*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L344-L344","name":"«term_<*>_»","line":344,"kind":"def","docLink":"./Init/Notation.html#«term_<*>_»","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"«term_<&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L15-L15","name":"«term_<&>_»","line":15,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&>_»","doc":""},"«term_<&&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L66-L66","name":"«term_<&&>_»","line":66,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&&>_»","doc":""},"«term_<$>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L347-L347","name":"«term_<$>_»","line":347,"kind":"def","docLink":"./Init/Notation.html#«term_<$>_»","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"«term_::_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L340-L340","name":"«term_::_»","line":340,"kind":"def","docLink":"./Init/Notation.html#«term_::_»","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"«term_/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L277-L277","name":"«term_/_»","line":277,"kind":"def","docLink":"./Init/Notation.html#«term_/_»","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"«term_/\\_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L326-L326","name":"«term_/\\_»","line":326,"kind":"def","docLink":"./Init/Notation.html#«term_/\\_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L275-L275","name":"«term_-_»","line":275,"kind":"def","docLink":"./Init/Notation.html#«term_-_»","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"«term_+_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L274-L274","name":"«term_+_»","line":274,"kind":"def","docLink":"./Init/Notation.html#«term_+_»","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_++_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L282-L282","name":"«term_++_»","line":282,"kind":"def","docLink":"./Init/Notation.html#«term_++_»","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"«term_*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L276-L276","name":"«term_*_»","line":276,"kind":"def","docLink":"./Init/Notation.html#«term_*_»","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L346-L346","name":"«term_*>_»","line":346,"kind":"def","docLink":"./Init/Notation.html#«term_*>_»","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L332-L332","name":"«term_&&_»","line":332,"kind":"def","docLink":"./Init/Notation.html#«term_&&_»","doc":"`and x y`, or `x && y`, is the boolean \"and\" operation (not to be confused\nwith `And : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is false then `y` is not evaluated.\n"},"«term_&&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L273-L273","name":"«term_&&&_»","line":273,"kind":"def","docLink":"./Init/Notation.html#«term_&&&_»","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_%_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L278-L278","name":"«term_%_»","line":278,"kind":"def","docLink":"./Init/Notation.html#«term_%_»","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"«term_$__»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L438-L444","name":"«term_$__»","line":438,"kind":"def","docLink":"./Init/Notation.html#«term_$__»","doc":"Alternative syntax for `<|`. `f $ x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f $ g $ x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_!=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L485-L485","name":"«term_!=_»","line":485,"kind":"def","docLink":"./Init/Core.html#«term_!=_»","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming applications.\n"},"«term[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L463-L474","name":"«term[_]»","line":463,"kind":"def","docLink":"./Init/Notation.html#«term[_]»","doc":"The syntax `[a, b, c]` is shorthand for `a :: b :: c :: []`, or\n`List.cons a (List.cons b (List.cons c List.nil))`. It allows conveniently constructing\nlist literals.\n\nFor lists of length at least 64, an alternative desugaring strategy is used\nwhich uses let bindings as intermediates as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\nNote that this changes the order of evaluation, although it should not be observable\nunless you use side effecting operations like `dbg_trace`.\n"},"«termExists_,_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L84-L84","name":"«termExists_,_»","line":84,"kind":"def","docLink":"./Init/NotationExtra.html#«termExists_,_»","doc":""},"«term-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L283-L283","name":"«term-_»","line":283,"kind":"def","docLink":"./Init/Notation.html#«term-_»","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"«term%[_|_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L476-L482","name":"«term%[_|_]»","line":476,"kind":"def","docLink":"./Init/Notation.html#«term%[_|_]»","doc":"Auxiliary syntax for implementing `[$elem,*]` list literal syntax.\nThe syntax `%[a,b,c|tail]` constructs a value equivalent to `a::b::c::tail`.\nIt uses binary partitioning to construct a tree of intermediate let bindings as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\n"},"«term#[_,]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L507-L507","name":"«term#[_,]»","line":507,"kind":"def","docLink":"./Init/Data/Array/Basic.html#«term#[_,]»","doc":""},"«stx_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L190-L205","name":"«stx_<|>_»","line":190,"kind":"def","docLink":"./Init/Notation.html#«stx_<|>_»","doc":"`p1 <|> p2` is shorthand for `orelse(p1, p2)`, and parses either `p1` or `p2`.\nIt does not backtrack, meaning that if `p1` consumes at least one token then\n`p2` will not be tried. Therefore, the parsers should all differ in their first\ntoken. The `atomic(p)` parser combinator can be used to locally backtrack a parser.\n(For full backtracking, consider using extensible syntax classes instead.)\n\nOn success, if the inner parser does not generate exactly one node, it will be\nautomatically wrapped in a `group` node, so the result will always be arity 1.\n\nThe `<|>` combinator does not generate a node of its own, and in particular\ndoes not tag the inner parsers to distinguish them, which can present a problem\nwhen reconstructing the parse. A well formed `<|>` parser should use disjoint\nnode kinds for `p1` and `p2`.\n"},"«stx_,+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L228-L228","name":"«stx_,+»","line":228,"kind":"def","docLink":"./Init/Notation.html#«stx_,+»","doc":"`p,+` is shorthand for `sepBy(p, \",\")`. It parses 1 or more occurrences of\n`p` separated by `,`, that is: `p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,+,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L248-L248","name":"«stx_,+,?»","line":248,"kind":"def","docLink":"./Init/Notation.html#«stx_,+,?»","doc":"`p,+,?` is shorthand for `sepBy1(p, \",\", allowTrailingSep)`.\nIt parses 1 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L220-L220","name":"«stx_,*»","line":220,"kind":"def","docLink":"./Init/Notation.html#«stx_,*»","doc":"`p,*` is shorthand for `sepBy(p, \",\")`. It parses 0 or more occurrences of\n`p` separated by `,`, that is: `empty | p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L238-L238","name":"«stx_,*,?»","line":238,"kind":"def","docLink":"./Init/Notation.html#«stx_,*,?»","doc":"`p,*,?` is shorthand for `sepBy(p, \",\", allowTrailingSep)`.\nIt parses 0 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `empty | p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L161-L167","name":"«stx_+»","line":161,"kind":"def","docLink":"./Init/Notation.html#«stx_+»","doc":"`p+` is shorthand for `many1(p)`. It uses parser `p` 1 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«stx_*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L169-L175","name":"«stx_*»","line":169,"kind":"def","docLink":"./Init/Notation.html#«stx_*»","doc":"`p*` is shorthand for `many(p)`. It uses parser `p` 0 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«prio(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L141-L141","name":"«prio(_)»","line":141,"kind":"def","docLink":"./Init/Notation.html#«prio(_)»","doc":"Parentheses are used for grouping priority expressions. "},"«prec(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L119-L119","name":"«prec(_)»","line":119,"kind":"def","docLink":"./Init/Notation.html#«prec(_)»","doc":"Parentheses are used for grouping precedence expressions. "},"«dsl_op2ConstTensor(_)»":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"«dsl_op2ConstIx(_)»":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"«dsl_op2ConstInt(_)»":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"withTheReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3069-L3070","name":"withTheReader","line":3069,"kind":"def","docLink":"./Init/Prelude.html#withTheReader","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L89-L89","name":"withShareCommon","line":89,"kind":"def","docLink":"./Init/ShareCommon.html#withShareCommon","doc":""},"withPtrEqUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L60-L61","name":"withPtrEqUnsafe","line":60,"kind":"def","docLink":"./Init/Util.html#withPtrEqUnsafe","doc":""},"withPtrEqDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L67-L71","name":"withPtrEqDecEq","line":67,"kind":"def","docLink":"./Init/Util.html#withPtrEqDecEq","doc":"`withPtrEq` for `DecidableEq` "},"withPtrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L64-L64","name":"withPtrEq","line":64,"kind":"def","docLink":"./Init/Util.html#withPtrEq","doc":""},"withPtrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L49-L50","name":"withPtrAddrUnsafe","line":49,"kind":"def","docLink":"./Init/Util.html#withPtrAddrUnsafe","doc":""},"withPtrAddr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L74-L74","name":"withPtrAddr","line":74,"kind":"def","docLink":"./Init/Util.html#withPtrAddr","doc":""},"usize_size_gt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L287-L288","name":"usize_size_gt_zero","line":287,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#usize_size_gt_zero","doc":""},"usize_size_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1975-L1979","name":"usize_size_eq","line":1975,"kind":"theorem","docLink":"./Init/Prelude.html#usize_size_eq","doc":""},"unsafeIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L91-L92","name":"unsafeIO","line":91,"kind":"def","docLink":"./Init/System/IO.html#unsafeIO","doc":""},"unsafeEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L88-L89","name":"unsafeEIO","line":88,"kind":"def","docLink":"./Init/System/IO.html#unsafeEIO","doc":""},"unsafeCast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2412-L2413","name":"unsafeCast","line":2412,"kind":"def","docLink":"./Init/Prelude.html#unsafeCast","doc":"This function will cast a value of type `α` to type `β`, and is a no-op in the\ncompiler. This function is **extremely dangerous** because there is no guarantee\nthat types `α` and `β` have the same data representation, and this can lead to\nmemory unsafety. It is also logically unsound, since you could just cast\n`True` to `False`. For all those reasons this function is marked as `unsafe`.\n\nIt is implemented by lifting both `α` and `β` into a common universe, and then\nusing `cast (lcProof : ULift (PLift α) = ULift (PLift β))` to actually perform\nthe cast. All these operations are no-ops in the compiler.\n\nUsing this function correctly requires some knowledge of the data representation\nof the source and target types. 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To resolve this, `ite` is marked as\n`@[macro_inline]`, which means that it is unfolded during code generation, and\nthe definition of the function uses `fun _ => t` and `fun _ => e` so this recovers\nthe expected \"lazy\" behavior of `if`: the `t` and `e` arguments delay evaluation\nuntil `c` is known.\n"},"termIfLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L392-L404","name":"termIfLet","line":392,"kind":"def","docLink":"./Init/Notation.html#termIfLet","doc":"`if let pat := d then t else e` is a shorthand syntax for:\n```\nmatch d with\n| pat => t\n| _ => e\n```\nIt matches `d` against the pattern `pat` and the bindings are available in `t`.\nIf the pattern does not match, it returns `e` instead.\n"},"termDepIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L371-L373","name":"termDepIfThenElse","line":371,"kind":"def","docLink":"./Init/Notation.html#termDepIfThenElse","doc":"\"Dependent\" if-then-else, normally written via the notation `if h : c then t(h) else e(h)`,\nis sugar for `dite c (fun h => t(h)) (fun h => e(h))`, and it is the same as\n`if c then t else e` except that `t` is allowed to depend on a proof `h : c`,\nand `e` can depend on `h : ¬c`. (Both branches use the same name for the hypothesis,\neven though it has different types in the two cases.)\n\nWe use this to be able to communicate the if-then-else condition to the branches.\nFor example, `Array.get arr ⟨i, h⟩` expects a proof `h : i < arr.size` in order to\navoid a bounds check, so you can write `if h : i < arr.size then arr.get ⟨i, h⟩ else ...`\nto avoid the bounds check inside the if branch. (Of course in this case we have only\nlifted the check into an explicit `if`, but we could also use this proof multiple times\nor derive `i < arr.size` from some other proposition that we are checking in the `if`.)\n"},"term!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L334-L334","name":"term!_","line":334,"kind":"def","docLink":"./Init/Notation.html#term!_","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"tacticSimp_wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L12-L13","name":"tacticSimp_wf","line":12,"kind":"def","docLink":"./Init/WFTactics.html#tacticSimp_wf","doc":"Unfold definitions commonly used in well founded relation definitions.\nThis is primarily intended for internal use in `decreasing_tactic`. "},"tacticSimp_mlir":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"tacticSimp_alive":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"tacticPrint_goal_as_error":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"tacticGet_elem_tactic_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L804-L812","name":"tacticGet_elem_tactic_trivial","line":804,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic_trivial","doc":"`get_elem_tactic_trivial` is an extensible tactic automatically called\nby the notation `arr[i]` to prove any side conditions that arise when\nconstructing the term (e.g. the index is in bounds of the array).\nThe default behavior is to just try `trivial` (which handles the case\nwhere `i < arr.size` is in the context) and `simp_arith`\n(for doing linear arithmetic in the index).\n"},"tacticGet_elem_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L824-L832","name":"tacticGet_elem_tactic","line":824,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic","doc":"`get_elem_tactic` is the tactic automatically called by the notation `arr[i]`\nto prove any side conditions that arise when constructing the term\n(e.g. the index is in bounds of the array). It just delegates to\n`get_elem_tactic_trivial` and gives a diagnostic error message otherwise;\nusers are encouraged to extend `get_elem_tactic_trivial` instead of this tactic.\n"},"tacticFunext___":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L323-L336","name":"tacticFunext___","line":323,"kind":"def","docLink":"./Init/NotationExtra.html#tacticFunext___","doc":"Apply function extensionality and introduce new hypotheses.\nThe tactic `funext` will keep applying the `funext` lemma until the goal target is not reducible to\n```\n |- ((fun x => ...) = (fun x => ...))\n```\nThe variant `funext h₁ ... hₙ` applies `funext` `n` times, and uses the given identifiers to name the new hypotheses.\nPatterns can be used like in the `intro` tactic. Example, given a goal\n```\n |- ((fun x : Nat × Bool => ...) = (fun x => ...))\n```\n`funext (a, b)` applies `funext` once and performs pattern matching on the newly introduced pair.\n"},"tacticDecreasing_with_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L33-L44","name":"tacticDecreasing_with_","line":33,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_with_","doc":"Constructs a proof of decreasing along a well founded relation, by applying\nlexicographic order lemmas and using `ts` to solve the base case. If it fails,\nit prints a message to help the user diagnose an ill-founded recursive definition. "},"tacticDecreasing_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L15-L22","name":"tacticDecreasing_trivial","line":15,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_trivial","doc":"Extensible helper tactic for `decreasing_tactic`. This handles the \"base case\"\nreasoning after applying lexicographic order lemmas.\nIt can be extended by adding more macro definitions, e.g.\n```\nmacro_rules | `(tactic| decreasing_trivial) => `(tactic| linarith)\n```\n"},"tacticDecreasing_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L52-L53","name":"tacticDecreasing_tactic","line":52,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_tactic","doc":"`decreasing_tactic` is called by default on well-founded recursions in order\nto synthesize a proof that recursive calls decrease along the selected\nwell founded relation. It can be locally overridden by using `decreasing_by tac`\non the recursive definition, and it can also be globally extended by adding\nmore definitions for `decreasing_tactic` (or `decreasing_trivial`,\nwhich this tactic calls). "},"tacticAlive_auto":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"subtypeCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L307-L308","name":"subtypeCoe","line":307,"kind":"instance","docLink":"./Init/Coe.html#subtypeCoe","doc":""},"stx_?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L177-L188","name":"stx_?","line":177,"kind":"def","docLink":"./Init/Notation.html#stx_?","doc":"`(p)?` is shorthand for `optional(p)`. It uses parser `p` 0 or 1 times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\n`p` is allowed to have arity n > 1 (in which case the node will have either 0 or n children),\nbut if it has arity 0 then the result will be ambiguous.\n\nBecause `?` is an identifier character, `ident?` will not work as intended.\nYou have to write either `ident ?` or `(ident)?` for it to parse as the `?` combinator\napplied to the `ident` parser.\n"},"stx!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L254-L254","name":"stx!_","line":254,"kind":"def","docLink":"./Init/Notation.html#stx!_","doc":"`!p` parses the negation of `p`. That is, it fails if `p` succeeds, and\notherwise parses nothing. It has arity 0.\n"},"strictOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L467-L467","name":"strictOr","line":467,"kind":"def","docLink":"./Init/Core.html#strictOr","doc":"`strictOr` is the same as `or`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `true`.\n"},"strictAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L473-L473","name":"strictAnd","line":473,"kind":"def","docLink":"./Init/Core.html#strictAnd","doc":"`strictAnd` is the same as `and`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `false`.\n"},"stdSplit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L57-L64","name":"stdSplit","line":57,"kind":"def","docLink":"./Init/Data/Random.html#stdSplit","doc":""},"stdRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L38-L38","name":"stdRange","line":38,"kind":"def","docLink":"./Init/Data/Random.html#stdRange","doc":""},"stdNext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L43-L55","name":"stdNext","line":43,"kind":"def","docLink":"./Init/Data/Random.html#stdNext","doc":""},"sorryAx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L641-L641","name":"sorryAx","line":641,"kind":"axiom","docLink":"./Init/Prelude.html#sorryAx","doc":"Auxiliary axiom used to implement `sorry`.\n\nThe `sorry` term/tactic expands to `sorryAx _ (synthetic := false)`. This is a\nproof of anything, which is intended for stubbing out incomplete parts of a\nproof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n\nThe `synthetic` flag is false when written explicitly by the user, but it is\nset to `true` when a tactic fails to prove a goal, or if there is a type error\nin the expression. A synthetic `sorry` acts like a regular one, except that it\nsuppresses follow-up errors in order to prevent one error from causing a cascade\nof other errors because the desired term was not constructed.\n"},"solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L380-L383","name":"solve","line":380,"kind":"def","docLink":"./Init/NotationExtra.html#solve","doc":"Similar to `first`, but succeeds only if one the given tactics solves the current goal.\n"},"sizeOf_thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L57-L58","name":"sizeOf_thunk","line":57,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_thunk","doc":""},"sizeOf_nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L52-L52","name":"sizeOf_nat","line":52,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_nat","doc":""},"sizeOf_default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L47-L47","name":"sizeOf_default","line":47,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_default","doc":""},"sizeOfWFRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L190-L191","name":"sizeOfWFRel","line":190,"kind":"def","docLink":"./Init/WF.html#sizeOfWFRel","doc":""},"shareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L91-L92","name":"shareCommonM","line":91,"kind":"def","docLink":"./Init/ShareCommon.html#shareCommonM","doc":""},"seq_eq_bind_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L65-L66","name":"seq_eq_bind_map","line":65,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind_map","doc":""},"seq_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L77-L78","name":"seq_eq_bind","line":77,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind","doc":""},"seqRight_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L80-L82","name":"seqRight_eq_bind","line":80,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqRight_eq_bind","doc":""},"seqLeft_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L84-L85","name":"seqLeft_eq_bind","line":84,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqLeft_eq_bind","doc":""},"semiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L618-L618","name":"semiOutParam","line":618,"kind":"def","docLink":"./Init/Prelude.html#semiOutParam","doc":"Gadget for marking semi output parameters in type classes.\n\nSemi-output parameters influence the order in which arguments to type class\ninstances are processed. Lean determines an order where all non-(semi-)output\nparameters to the instance argument have to be figured out before attempting to\nsynthesize an argument (that is, they do not contain assignable metavariables\ncreated during TC synthesis). This rules out instances such as `[Mul β] : Add\nα` (because `β` could be anything). Marking a parameter as semi-output is a\npromise that instances of the type class will always fill in a value for that\nparameter.\n\nFor example, the `Coe` class is defined as:\n```\nclass Coe (α : semiOutParam (Sort u)) (β : Sort v)\n```\nThis means that all `Coe` instances should provide a concrete value for `α`\n(i.e., not an assignable metavariable). An instance like `Coe Nat Int` or `Coe\nα (Option α)` is fine, but `Coe α Nat` is not since it does not provide a value\nfor `α`.\n"},"runST":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L32-L35","name":"runST","line":32,"kind":"def","docLink":"./Init/System/ST.html#runST","doc":""},"runEST":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L26-L29","name":"runEST","line":26,"kind":"def","docLink":"./Init/System/ST.html#runEST","doc":""},"rgnDom":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"rgnCod":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L281-L281","name":"rfl","line":281,"kind":"def","docLink":"./Init/Prelude.html#rfl","doc":"`rfl : a = a` is the unique constructor of the equality type. This is the\nsame as `Eq.refl` except that it takes `a` implicitly instead of explicitly.\n\nThis is a more powerful theorem than it may appear at first, because although\nthe statement of the theorem is `a = a`, lean will allow anything that is\ndefinitionally equal to that type. So, for instance, `2 + 2 = 4` is proven in\nlean by `rfl`, because both sides are the same up to definitional equality.\n"},"reprStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L24-L25","name":"reprStr","line":24,"kind":"def","docLink":"./Init/Data/Repr.html#reprStr","doc":""},"reprArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L27-L28","name":"reprArg","line":27,"kind":"def","docLink":"./Init/Data/Repr.html#reprArg","doc":""},"repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L21-L22","name":"repr","line":21,"kind":"def","docLink":"./Init/Data/Repr.html#repr","doc":""},"recSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L893-L902","name":"recSubsingleton","line":893,"kind":"theorem","docLink":"./Init/Core.html#recSubsingleton","doc":""},"readThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3033-L3034","name":"readThe","line":3033,"kind":"def","docLink":"./Init/Prelude.html#readThe","doc":"Like `read`, but with `ρ` explicit. This is useful if a monad supports\n`MonadReaderOf` for multiple different types `ρ`.\n"},"rawNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L256-L266","name":"rawNatLit","line":256,"kind":"def","docLink":"./Init/Notation.html#rawNatLit","doc":"The `nat_lit n` macro constructs \"raw numeric literals\". This corresponds to the\n`Expr.lit (.natVal n)` constructor in the `Expr` data type.\n\nNormally, when you write a numeral like `#check 37`, the parser turns this into\nan application of `OfNat.ofNat` to the raw literal `37` to cast it into the\ntarget type, even if this type is `Nat` (so the cast is the identity function).\nBut sometimes it is necessary to talk about the raw numeral directly,\nespecially when proving properties about the `ofNat` function itself.\n"},"randNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L93-L108","name":"randNat","line":93,"kind":"def","docLink":"./Init/Data/Random.html#randNat","doc":"Generate a random natural number in the interval [lo, hi]. "},"randBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L111-L113","name":"randBool","line":111,"kind":"def","docLink":"./Init/Data/Random.html#randBool","doc":"Generate a random Boolean. "},"pure_id_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L43-L44","name":"pure_id_seq","line":43,"kind":"theorem","docLink":"./Init/Control/Lawful.html#pure_id_seq","doc":""},"ptrEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L54-L57","name":"ptrEqList","line":54,"kind":"def","docLink":"./Init/Util.html#ptrEqList","doc":""},"ptrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L52-L52","name":"ptrEq","line":52,"kind":"def","docLink":"./Init/Util.html#ptrEq","doc":""},"ptrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L46-L46","name":"ptrAddrUnsafe","line":46,"kind":"opaque","docLink":"./Init/Util.html#ptrAddrUnsafe","doc":""},"propext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1142-L1142","name":"propext","line":1142,"kind":"axiom","docLink":"./Init/Core.html#propext","doc":"The axiom of **propositional extensionality**. It asserts that if propositions\n`a` and `b` are logically equivalent (i.e. we can prove `a` from `b` and vice versa),\nthen `a` and `b` are *equal*, meaning that we can replace `a` with `b` in all\ncontexts.\n\nFor simple expressions like `a ∧ c ∨ d → e` we can prove that because all the logical\nconnectives respect logical equivalence, we can replace `a` with `b` in this expression\nwithout using `propext`. However, for higher order expressions like `P a` where\n`P : Prop → Prop` is unknown, or indeed for `a = b` itself, we cannot replace `a` with `b`\nwithout an axiom which says exactly this.\n\nThis is a relatively uncontroversial axiom, which is intuitionistically valid.\nIt does however block computation when using `#reduce` to reduce proofs directly\n(which is not recommended), meaning that canonicity,\nthe property that all closed terms of type `Nat` normalize to numerals,\nfails to hold when this (or any) axiom is used:\n```\nset_option pp.proofs true\n\ndef foo : Nat := by\n have : (True → True) ↔ True := ⟨λ _ => trivial, λ _ _ => trivial⟩\n have := propext this ▸ (2 : Nat)\n exact this\n\n#reduce foo\n-- propext { mp := fun x x => True.intro, mpr := fun x => True.intro } ▸ 2\n\n#eval foo -- 2\n```\n`#eval` can evaluate it to a numeral because the compiler erases casts and\ndoes not evaluate proofs, so `propext`, whose return type is a proposition,\ncan never block it.\n"},"proofIrrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L525-L525","name":"proofIrrel","line":525,"kind":"theorem","docLink":"./Init/Core.html#proofIrrel","doc":""},"prioMid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L137-L137","name":"prioMid","line":137,"kind":"def","docLink":"./Init/Notation.html#prioMid","doc":"The standardized \"medium\" priority `mid = 500`. This is lower than `default`, and higher than `low`.\n"},"prioLow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L133-L133","name":"prioLow","line":133,"kind":"def","docLink":"./Init/Notation.html#prioLow","doc":"The standardized \"low\" priority `low = 100`, for things that should be lower than default priority. "},"prioHigh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L139-L139","name":"prioHigh","line":139,"kind":"def","docLink":"./Init/Notation.html#prioHigh","doc":"The standardized \"high\" priority `high = 10000`, for things that should be higher than default priority. "},"prioDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L131-L131","name":"prioDefault","line":131,"kind":"def","docLink":"./Init/Notation.html#prioDefault","doc":"The default priority `default = 1000`, which is used when no priority is set. "},"precMin1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L123-L123","name":"precMin1","line":123,"kind":"def","docLink":"./Init/Notation.html#precMin1","doc":"`(min+1)` (we can only write `min+1` after `Meta.lean`) "},"precMin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L121-L121","name":"precMin","line":121,"kind":"def","docLink":"./Init/Notation.html#precMin","doc":"Minimum precedence used in term parsers. "},"precMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L113-L113","name":"precMax","line":113,"kind":"def","docLink":"./Init/Notation.html#precMax","doc":"Maximum precedence used in term parsers, in particular for terms in\nfunction position (`ident`, `paren`, ...)\n"},"precLead":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L117-L117","name":"precLead","line":117,"kind":"def","docLink":"./Init/Notation.html#precLead","doc":"Precedence used for terms not supposed to be used as arguments (`let`, `have`, ...). "},"precArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L115-L115","name":"precArg","line":115,"kind":"def","docLink":"./Init/Notation.html#precArg","doc":"Precedence used for application arguments (`do`, `by`, ...). "},"panicWithPosWithDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L42-L43","name":"panicWithPosWithDecl","line":42,"kind":"def","docLink":"./Init/Util.html#panicWithPosWithDecl","doc":""},"panicWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L36-L37","name":"panicWithPos","line":36,"kind":"def","docLink":"./Init/Util.html#panicWithPos","doc":""},"panicCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2428-L2428","name":"panicCore","line":2428,"kind":"def","docLink":"./Init/Prelude.html#panicCore","doc":"Auxiliary definition for `panic`. "},"panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2442-L2443","name":"panic","line":2442,"kind":"def","docLink":"./Init/Prelude.html#panic","doc":"`(panic \"msg\" : α)` has a built-in implementation which prints `msg` to\nthe error buffer. It *does not* terminate execution, and because it is a safe\nfunction, it still has to return an element of `α`, so it takes `[Inhabited α]`\nand returns `default`. It is primarily intended for debugging in pure contexts,\nand assertion failures.\n\nBecause this is a pure function with side effects, it is marked as\n`@[never_extract]` so that the compiler will not perform common sub-expression\nelimination and other optimizations that assume that the expression is pure.\n"},"pairMapM":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"pairBind":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"outUserType":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"outParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L595-L595","name":"outParam","line":595,"kind":"def","docLink":"./Init/Prelude.html#outParam","doc":"Gadget for marking output parameters in type classes.\n\nFor example, the `Membership` class is defined as:\n```\nclass Membership (α : outParam (Type u)) (γ : Type v)\n```\nThis means that whenever a typeclass goal of the form `Membership ?α ?γ` comes\nup, lean will wait to solve it until `?γ` is known, but then it will run\ntypeclass inference, and take the first solution it finds, for any value of `?α`,\nwhich thereby determines what `?α` should be.\n\nThis expresses that in a term like `a ∈ s`, `s` might be a `Set α` or\n`List α` or some other type with a membership operation, and in each case\nthe \"member\" type `α` is determined by looking at the container type.\n"},"or_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L88-L88","name":"or_true","line":88,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_true","doc":""},"or_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L87-L87","name":"or_self","line":87,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_self","doc":""},"or_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L90-L90","name":"or_false","line":90,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_false","doc":""},"orM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L52-L56","name":"orM","line":52,"kind":"def","docLink":"./Init/Control/Basic.html#orM","doc":""},"or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L982-L985","name":"or","line":982,"kind":"def","docLink":"./Init/Prelude.html#or","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not evaluated.\n"},"optional":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L36-L37","name":"optional","line":36,"kind":"def","docLink":"./Init/Control/Basic.html#optional","doc":""},"optionCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L304-L305","name":"optionCoe","line":304,"kind":"instance","docLink":"./Init/Coe.html#optionCoe","doc":""},"optParam_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L459-L459","name":"optParam_eq","line":459,"kind":"theorem","docLink":"./Init/Core.html#optParam_eq","doc":""},"optParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L577-L577","name":"optParam","line":577,"kind":"def","docLink":"./Init/Prelude.html#optParam","doc":"Gadget for optional parameter support.\n\nA binder like `(x : α := default)` in a declaration is syntax sugar for\n`x : optParam α default`, and triggers the elaborator to attempt to use\n`default` to supply the argument if it is not supplied.\n"},"of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L12-L12","name":"of_eq_true","line":12,"kind":"theorem","docLink":"./Init/SimpLemmas.html#of_eq_true","doc":""},"of_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L855-L858","name":"of_decide_eq_true","line":855,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_true","doc":""},"of_decide_eq_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L865-L868","name":"of_decide_eq_self_eq_true","line":865,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_self_eq_true","doc":""},"of_decide_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L860-L863","name":"of_decide_eq_false","line":860,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_false","doc":""},"ofBoolUsing_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L709-L710","name":"ofBoolUsing_eq_true","line":709,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_true","doc":""},"ofBoolUsing_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L712-L713","name":"ofBoolUsing_eq_false","line":712,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_false","doc":""},"observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L162-L163","name":"observing","line":162,"kind":"def","docLink":"./Init/Control/Except.html#observing","doc":""},"not_not_intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L521-L522","name":"not_not_intro","line":521,"kind":"theorem","docLink":"./Init/Core.html#not_not_intro","doc":""},"not_false_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L100-L100","name":"not_false_eq_true","line":100,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_false_eq_true","doc":""},"not_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L519-L519","name":"not_false","line":519,"kind":"theorem","docLink":"./Init/Core.html#not_false","doc":""},"not_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L141-L141","name":"not_decide_eq_true","line":141,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_decide_eq_true","doc":""},"notM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L68-L69","name":"notM","line":68,"kind":"def","docLink":"./Init/Control/Basic.html#notM","doc":""},"not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1002-L1004","name":"not","line":1002,"kind":"def","docLink":"./Init/Prelude.html#not","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"nonempty_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L854-L855","name":"nonempty_of_exists","line":854,"kind":"theorem","docLink":"./Init/Core.html#nonempty_of_exists","doc":""},"noConfusionTypeEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L834-L837","name":"noConfusionTypeEnum","line":834,"kind":"def","docLink":"./Init/Core.html#noConfusionTypeEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"noConfusionEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L840-L845","name":"noConfusionEnum","line":840,"kind":"def","docLink":"./Init/Core.html#noConfusionEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"ne_true_of_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L583-L586","name":"ne_true_of_not","line":583,"kind":"theorem","docLink":"./Init/Core.html#ne_true_of_not","doc":""},"ne_true_of_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L655-L657","name":"ne_true_of_eq_false","line":655,"kind":"theorem","docLink":"./Init/Prelude.html#ne_true_of_eq_false","doc":""},"ne_of_beq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L601-L602","name":"ne_of_beq_false","line":601,"kind":"theorem","docLink":"./Init/Core.html#ne_of_beq_false","doc":""},"ne_false_of_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L580-L581","name":"ne_false_of_self","line":580,"kind":"theorem","docLink":"./Init/Core.html#ne_false_of_self","doc":""},"ne_false_of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L651-L653","name":"ne_false_of_eq_true","line":651,"kind":"theorem","docLink":"./Init/Prelude.html#ne_false_of_eq_true","doc":""},"ne_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L76-L76","name":"ne_eq","line":76,"kind":"theorem","docLink":"./Init/SimpLemmas.html#ne_eq","doc":""},"namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L622-L622","name":"namedPattern","line":622,"kind":"def","docLink":"./Init/Prelude.html#namedPattern","doc":"Auxiliary declaration used to implement named patterns like `x@h:p`. "},"mt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L516-L517","name":"mt","line":516,"kind":"theorem","docLink":"./Init/Core.html#mt","doc":""},"monadLift_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L13-L14","name":"monadLift_self","line":13,"kind":"theorem","docLink":"./Init/Control/Lawful.html#monadLift_self","doc":""},"monadFunctorRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2837-L2838","name":"monadFunctorRefl","line":2837,"kind":"instance","docLink":"./Init/Prelude.html#monadFunctorRefl","doc":""},"modifyThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3122-L3123","name":"modifyThe","line":3122,"kind":"def","docLink":"./Init/Prelude.html#modifyThe","doc":"Like `modify`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modifyGetThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3130-L3131","name":"modifyGetThe","line":3130,"kind":"def","docLink":"./Init/Prelude.html#modifyGetThe","doc":"Like `modifyGet`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3161-L3162","name":"modify","line":3161,"kind":"def","docLink":"./Init/Prelude.html#modify","doc":"`modify (f : σ → σ)` applies the function `f` to the state.\n\nIt is equivalent to `do put (f (← get))`, but `modify f` may be preferable\nbecause the former does not use the state linearly (without sufficient inlining).\n"},"mkStdGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L73-L77","name":"mkStdGen","line":73,"kind":"def","docLink":"./Init/Data/Random.html#mkStdGen","doc":"Return a standard number generator. "},"mixHash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3376-L3376","name":"mixHash","line":3376,"kind":"opaque","docLink":"./Init/Prelude.html#mixHash","doc":"An opaque hash mixing operation, used to implement hashing for tuples. "},"minOfLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1110-L1111","name":"minOfLe","line":1110,"kind":"def","docLink":"./Init/Prelude.html#minOfLe","doc":"Implementation of the `min` operation using `≤`. 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If it is not optimized out,\nit is likely to appear as a print message saying \"unreachable code\", but this\nbehavior is not guaranteed or stable in any way.\n"},"lcProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L149-L149","name":"lcProof","line":149,"kind":"axiom","docLink":"./Init/Prelude.html#lcProof","doc":"Auxiliary unsafe constant used by the Compiler when erasing proofs from code.\n\nIt may look strange to have an axiom that says \"every proposition is true\",\nsince this is obviously unsound, but the `unsafe` marker ensures that the\nkernel will not let this through into regular proofs. 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omUInt16","line":261,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomUInt16","doc":""},"instReprAtomString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L259-L259","name":"instReprAtomString","line":259,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomString","doc":""},"instReprAtomNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L256-L256","name":"instReprAtomNat","line":256,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomNat","doc":""},"instReprAtomInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L257-L257","name":"instReprAtomInt","line":257,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomInt","doc":""},"instReprAtomFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L105-L105","name":"instReprAtomFloat","line":105,"kind":"instance","docLink":"./Init/Data/Float.html#instReprAtomFloat","doc":""},"instReprAtomChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L258-L258","name":"instReprAtomChar","line":258,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomChar","doc":""},"instReprAtomBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L255-L255","name":"instReprAtomBool","line":255,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomBool","doc":""},"instRandomGenStdGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L66-L70","name":"instRandomGenStdGen","line":66,"kind":"instance","docLink":"./Init/Data/Random.html#instRandomGenStdGen","doc":""},"instPowNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1483-L1484","name":"instPowNat","line":1483,"kind":"instance","docLink":"./Init/Prelude.html#instPowNat","doc":""},"instPowFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L135-L135","name":"instPowFloat","line":135,"kind":"instance","docLink":"./Init/Data/Float.html#instPowFloat","doc":""},"instOrdUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L56-L57","name":"instOrdUSize","line":56,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUSize","doc":""},"instOrdUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L44-L45","name":"instOrdUInt8","line":44,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt8","doc":""},"instOrdUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L53-L54","name":"instOrdUInt64","line":53,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt64","doc":""},"instOrdUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L50-L51","name":"instOrdUInt32","line":50,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt32","doc":""},"instOrdUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L47-L48","name":"instOrdUInt16","line":47,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt16","doc":""},"instOrdString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L38-L39","name":"instOrdString","line":38,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdString","doc":""},"instOrdNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L26-L27","name":"instOrdNat","line":26,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdNat","doc":""},"instOrdInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L29-L30","name":"instOrdInt","line":29,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdInt","doc":""},"instOrdFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L41-L42","name":"instOrdFin","line":41,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdFin","doc":""},"instOrdChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L59-L60","name":"instOrdChar","line":59,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdChar","doc":""},"instOrdBool":{"so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This can make a\ndifference for typeclass inference, since `T` and `T'` may have different\ntypeclass instances on them. `show T' from e` is sugar for an `@id T' e`\nexpression.\n"},"hexDigitRepr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L177-L178","name":"hexDigitRepr","line":177,"kind":"def","docLink":"./Init/Data/Repr.html#hexDigitRepr","doc":""},"heq_of_heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L633-L634","name":"heq_of_heq_of_eq","line":633,"kind":"theorem","docLink":"./Init/Core.html#heq_of_heq_of_eq","doc":""},"heq_of_eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L636-L637","name":"heq_of_eq_of_heq","line":636,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq_of_heq","doc":""},"heq_of_eqRec_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L647-L650","name":"heq_of_eqRec_eq","line":647,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eqRec_eq","doc":""},"heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L627-L628","name":"heq_of_eq","line":627,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq","doc":""},"heq_eq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L143-L143","name":"heq_eq_eq","line":143,"kind":"theorem","docLink":"./Init/SimpLemmas.html#heq_eq_eq","doc":""},"hash64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Hashable.lean#L63-L64","name":"hash64","line":63,"kind":"def","docLink":"./Init/Data/Hashable.html#hash64","doc":"An opaque (low-level) hash operation used to implement hashing for pointers. "},"guard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L33-L34","name":"guard","line":33,"kind":"def","docLink":"./Init/Control/Basic.html#guard","doc":""},"getThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3114-L3115","name":"getThe","line":3114,"kind":"def","docLink":"./Init/Prelude.html#getThe","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"getModify":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3169-L3170","name":"getModify","line":3169,"kind":"def","docLink":"./Init/Prelude.html#getModify","doc":"`getModify f` gets the state, applies function `f`, and returns the old value\nof the state. It is equivalent to `get <* modify f` but may be more efficient.\n"},"getElem?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L83-L84","name":"getElem?","line":83,"kind":"def","docLink":"./Init/Util.html#getElem?","doc":""},"getElem!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L80-L81","name":"getElem!","line":80,"kind":"def","docLink":"./Init/Util.html#getElem!","doc":""},"funext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1555-L1563","name":"funext","line":1555,"kind":"theorem","docLink":"./Init/Core.html#funext","doc":"**Function extensionality** is the statement that if two functions take equal values\nevery point, then the functions themselves are equal: `(∀ x, f x = g x) → f = g`.\nIt is called \"extensionality\" because it talks about how to prove two objects are equal\nbased on the properties of the object (compare with set extensionality,\nwhich is `(∀ x, x ∈ s ↔ x ∈ t) → s = t`).\n\nThis is often an axiom in dependent type theory systems, because it cannot be proved\nfrom the core logic alone. However in lean's type theory this follows from the existence\nof quotient types (note the `Quot.sound` in the proof, as well as the `show` line\nwhich makes use of the definitional equality `Quot.lift f h (Quot.mk x) = f x`).\n"},"forall_congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L41-L42","name":"forall_congr","line":41,"kind":"theorem","docLink":"./Init/SimpLemmas.html#forall_congr","doc":""},"floatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L20-L27","name":"floatSpec","line":20,"kind":"opaque","docLink":"./Init/Data/Float.html#floatSpec","doc":""},"floatDecLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L69-L69","name":"floatDecLt","line":69,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLt","doc":""},"floatDecLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L70-L70","name":"floatDecLe","line":70,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLe","doc":""},"flip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L28-L29","name":"flip","line":28,"kind":"def","docLink":"./Init/Core.html#flip","doc":"`flip f a b` is `f b a`. It is useful for \"point-free\" programming,\nsince it can sometimes be used to avoid introducing variables.\nFor example, `(·<·)` is the less-than relation,\nand `flip (·<·)` is the greater-than relation.\n"},"false_or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L91-L91","name":"false_or","line":91,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_or","doc":""},"false_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L578-L578","name":"false_of_ne","line":578,"kind":"theorem","docLink":"./Init/Core.html#false_of_ne","doc":""},"false_implies":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L97-L97","name":"false_implies","line":97,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_implies","doc":""},"false_iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L96-L96","name":"false_iff","line":96,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_iff","doc":""},"false_and":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L86-L86","name":"false_and","line":86,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_and","doc":""},"example_macro_3_1":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"example_macro_3_0":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"example_macro_3":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"example_macro_2":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"example_macro_1":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"ex_of_PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1049-L1050","name":"ex_of_PSigma","line":1049,"kind":"theorem","docLink":"./Init/Core.html#ex_of_PSigma","doc":""},"eval":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"eq_true_of_ne_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L647-L649","name":"eq_true_of_ne_false","line":647,"kind":"theorem","docLink":"./Init/Prelude.html#eq_true_of_ne_false","doc":""},"eq_true_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L22-L23","name":"eq_true_of_decide","line":22,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true_of_decide","doc":""},"eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L14-L15","name":"eq_true","line":14,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true","doc":""},"eq_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L28-L28","name":"eq_self","line":28,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_self","doc":""},"eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L451-L455","name":"eq_of_heq","line":451,"kind":"theorem","docLink":"./Init/Prelude.html#eq_of_heq","doc":""},"eq_false_of_ne_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L643-L645","name":"eq_false_of_ne_true","line":643,"kind":"theorem","docLink":"./Init/Prelude.html#eq_false_of_ne_true","doc":""},"eq_false_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L25-L26","name":"eq_false_of_decide","line":25,"kind":"theorem","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empty relation is the relation on `α` which is always `False`. 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"},"Lean.Compiler.LCNF.Simp.addFunOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L108-L109","name":"Lean.Compiler.LCNF.Simp.addFunOcc","line":108,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunOcc","doc":"Add a new occurrence of local function `fvarId`. "},"Lean.Compiler.LCNF.Simp.addFunHoOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L112-L113","name":"Lean.Compiler.LCNF.Simp.addFunHoOcc","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunHoOcc","doc":"Add a new occurrence of local function `fvarId` in argument position . "},"Lean.Compiler.LCNF.Simp.addFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L242-L248","name":"Lean.Compiler.LCNF.Simp.addFVarSubst","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFVarSubst","doc":"Similar to `LCNF.addFVarSubst`. 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We use it to implement inlining and removing redundant variables `let _x.i := _x.j`\n"},"Lean.Compiler.LCNF.Simp.State.simplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L59-L59","name":"Lean.Compiler.LCNF.Simp.State.simplified","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.simplified","doc":"`true` if some simplification was performed in the current simplification pass.\n"},"Lean.Compiler.LCNF.Simp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.mk","doc":""},"Lean.Compiler.LCNF.Simp.State.inlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L74-L74","name":"Lean.Compiler.LCNF.Simp.State.inlineLocal","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inlineLocal","doc":"Number of local functions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.inline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L69-L69","name":"Lean.Compiler.LCNF.Simp.State.inline","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inline","doc":"Number of definitions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L55-L55","name":"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","doc":"Mapping used to decide whether a local function declaration must be inlined or not.\n"},"Lean.Compiler.LCNF.Simp.State.binderRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L51-L51","name":"Lean.Compiler.LCNF.Simp.State.binderRenaming","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.binderRenaming","doc":"Mapping containing free variables ids that need to be renamed (i.e., the `binderName`).\nWe use this map to preserve user provide names.\n"},"Lean.Compiler.LCNF.Simp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L38-L74","name":"Lean.Compiler.LCNF.Simp.State","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State","doc":""},"Lean.Compiler.LCNF.Simp.SimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L76-L76","name":"Lean.Compiler.LCNF.Simp.SimpM","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.SimpM","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L55-L56","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","doc":"Return `true` if the collected information suggests opportunities for the `JpCases` optimization. "},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L52-L52","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L44-L44","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","line":44,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","doc":"Parameter index returned by `isJpCases?`. This parameter is the one the join point is performing the case-split. "},"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L49-L49","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","line":49,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","doc":"Set of constructor names s.t. `ctorName` is in the set if there is a jump to the join point where the parameter\n`paramIdx` is a constructor application.\n"},"Lean.Compiler.LCNF.Simp.JpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L42-L50","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo","doc":"Information for join points that satisfy `isJpCases?`\n"},"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L102-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L101-L101","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.default","line":101,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.default","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L100-L100","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L99-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt","line":99,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","doc":"Value (lambda expression) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","doc":"`recursive = true` if the declaration being inline is in a mutually recursive block. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L16-L16","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L23-L23","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","doc":"`ifReduce = true` if the declaration being inlined was tagged with `inline_if_reduce`. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L20-L20","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L28-L29","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","doc":"The arity (aka number of parameters) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L21-L21","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L15-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo","line":15,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo","doc":"Result of `inlineCandidate?`.\nIt contains information for inlining local and global functions.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L112-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","line":112,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L103-L110","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L96-L101","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L92-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L80-L83","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","line":80,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","doc":"Mapping from local function name to inlining information.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L45-L50","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L76-L78","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L66-L71","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","line":66,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","doc":"Add new occurrence for the local function occurring as an argument for another function.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L55-L61","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L38-L43","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap","doc":"Local function declaration statistics.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.once":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L20-L23","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.once","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.once","doc":"Local function is applied once, and must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L29-L32","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","line":29,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","doc":"Function must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.many":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L24-L28","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.many","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.many","doc":"Local function is applied many times or occur as an argument of another function,\nand will only be inlined if it is small.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L19-L33","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo","doc":"Local function usage information used to decide whether it should be inlined or not.\nThe information is an approximation, but it is on the \"safe\" side. That is, if we tagged\na function with `.once`, then it is applied only once. A local function may be marked as\n`.many`, but after simplifications the number of applications may reduce to 1. This is not\na big problem in practice because we run the simplifier multiple times, and this information\nis recomputed from scratch at the beginning of each simplification step.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","doc":"A mapping from discriminant to constructor application it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L41-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","doc":"A mapping from constructor application to discriminant it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L33-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context","line":33,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L47-L47","name":"Lean.Compiler.LCNF.Simp.DiscrM","line":47,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM","doc":"Helper monad for tracking mappings from discriminant to constructor applications and back.\nThe combinator `withDiscrCtor` should be used when visiting `cases` alternatives.\n"},"Lean.Compiler.LCNF.Simp.CtorInfo.natVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L16-L17","name":"Lean.Compiler.LCNF.Simp.CtorInfo.natVal","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.natVal","doc":"Natural numbers are morally constructor applications 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from declaration names to number of occurrences at `inlineStack`\n"},"Lean.Compiler.LCNF.Simp.Context.inlineStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Context.inlineStack","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.inlineStack","doc":"Stack of global declarations being recursively inlined.\n"},"Lean.Compiler.LCNF.Simp.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L27-L27","name":"Lean.Compiler.LCNF.Simp.Context.declName","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.declName","doc":"Name of the declaration being simplified.\nWe currently use this information because we are generating phase1 declarations on demand,\nand it may trigger non-termination when trying to access the phase1 declaration.\n"},"Lean.Compiler.LCNF.Simp.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L28-L28","name":"Lean.Compiler.LCNF.Simp.Context.config","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.config","doc":""},"Lean.Compiler.LCNF.Simp.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L21-L36","name":"Lean.Compiler.LCNF.Simp.Context","line":21,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L359-L363","name":"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","line":359,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","doc":"All string folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L336-L354","name":"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","line":336,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L413-L415","name":"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L79-L80","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L153-L158","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","doc":"Turn an `#[a, b, c]` into:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n_x.26\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L104-L108","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L68-L69","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","line":68,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L90-L92","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L60-L62","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","doc":"A wrapper around `mkAuxLetDecl` that also calls `mkLit`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L50-L53","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","doc":"A wrapper around `LCNF.mkAuxLetDecl` that will automatically store the\n`LetDecl` in the state of `FolderM`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L110-L110","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","line":110,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L113-L113","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","line":113,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L112-L112","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","line":112,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L111-L111","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","line":111,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L82-L84","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","line":82,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L71-L73","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","line":71,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L114-L114","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","line":114,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L94-L96","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","line":94,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L302-L304","name":"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","line":302,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","doc":"Literal folders for higher order datastructures.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L75-L77","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L133-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","line":133,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L130-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","line":130,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","doc":"Turns an expression chain of the form\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ a _x.1\nlet _x.3 := @List.cons _ b _x.2\nlet _x.4 := @List.cons _ c _x.3\nlet _x.5 := @List.cons _ d _x.4\nlet _x.6 := @List.cons _ e _x.5\n```\ninto: `[a, b, c, d ,e]` + The type contained in the list\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L417-L418","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","line":417,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L86-L88","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L398-L411","name":"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L423-L424","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","line":423,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","doc":"Apply a list of default folders to `decl`\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L178-L183","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","doc":"Evaluate array literals at compile time, that is turn:\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ z _x.1\nlet _x.3 := @List.cons _ y _x.2\nlet _x.4 := @List.cons _ x _x.3\nlet _x.5 := @List.toArray _ _x.4\n```\nTo its array form:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L387-L389","name":"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","line":387,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L312-L334","name":"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","doc":"All arithmetic folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L368-L376","name":"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","line":368,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","doc":"Apply all known folders to `decl`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","doc":"Turn a value of type `α` into a series of auxiliary `LetDecl`s + a\nfinal `Expr` putting them all together into a literal of type `α`,\nwhere again the idea of what a literal is depends on `α`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L30-L30","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk","line":30,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L36-L36","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.getLit","doc":"Attempt to turn the provided `Expr` into a value of type `α` if\nit is whatever concept of a literal `α` has. Note that this function\ndoes assume that the provided `Expr` does indeed have type `α`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L30-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal","line":30,"kind":"class","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal","doc":"A typeclass for detecting and producing literals of arbitrary types\ninside of LCNF.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L393-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","line":393,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L392-L392","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","line":392,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L391-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","line":391,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","doc":"A constant folding monad, the additional state stores auxiliary declarations\nrequired to build the new constant.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L396-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","line":396,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L395-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","line":395,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L224-L228","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","doc":"Provide a folder for an operation with a right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L242-L246","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","doc":"Provide a folder for an operation with a right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L306-L307","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L257-L264","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","line":257,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L266-L273","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L188-L192","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","line":188,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","doc":"Turn a unary function such as `Nat.succ` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L203-L210","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","line":203,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L197-L201","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","line":197,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","doc":"Turn a binary function such as `Nat.add` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L290-L291","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","line":290,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","doc":"Provide a folder for an operation that has the same left and right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L296-L297","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","doc":"Provide a folder for an operation that has the same left and right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L215-L219","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","line":215,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","doc":"Provide a folder for an operation with a left neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L233-L237","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","line":233,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","doc":"Provide a folder for an operation with a left annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L278-L285","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","line":278,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","doc":"Pick the first folder out of `folders` that succeeds.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L248-L255","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","line":248,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L24-L24","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder","doc":"A constant folder for a specific function, takes all the arguments of a\ncertain function and produces a new `Expr` + auxiliary declarations in\nthe `FolderM` monad on success. If the folding fails it returns `none`.\n"},"Lean.Compiler.LCNF.Simp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.mk","doc":""},"Lean.Compiler.LCNF.Simp.Config.inlinePartial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.Config.inlinePartial","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlinePartial","doc":"If `inlinePartial` is `true`, we inline partial function applications tagged\nwith `[inline]`. Note that this option is automatically disabled when processing\ndeclarations tagged with `[inline]`, marked to be specialized, or instances.\n"},"Lean.Compiler.LCNF.Simp.Config.inlineDefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.Config.inlineDefs","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlineDefs","doc":"If `inlineDefs` is `true` then top-level definitions are inlined when they are small are\nannotated with inlining attributes.\n"},"Lean.Compiler.LCNF.Simp.Config.implementedBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Config.implementedBy","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.implementedBy","doc":"If `implementedBy` is `true`, we apply the `implemented_by` replacements.\nRemark: we only apply `casesOn` replacements at phase 2 because `cases` constructor\nmay not have enough information for reconstructing the original `casesOn` application at\nphase 1.\n"},"Lean.Compiler.LCNF.Simp.Config.etaPoly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.Config.etaPoly","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.etaPoly","doc":"If `etaPoly` is true, we eta expand any global function application when\nthe function takes local instances. The idea is that we do not generate code\nfor this kind of application, and we want all of them to specialized or inlined.\n"},"Lean.Compiler.LCNF.Simp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L13-L38","name":"Lean.Compiler.LCNF.Simp.Config","line":13,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config","doc":"Configuration options for `Simp` that are not controlled using `set_option`.\nRecall that we have multiple `Simp` passes and they use different configurations.\n"},"Lean.Compiler.LCNF.ScopeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/MonadScope.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeT","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.ScopeT","doc":""},"Lean.Compiler.LCNF.ScopeM.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L32-L35","name":"Lean.Compiler.LCNF.ScopeM.withNewScope","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withNewScope","doc":"Clear the current scope for the monadic action `x`, afterwards continuing\nwith the old one.\n"},"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L24-L26","name":"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","doc":"Execute `x` but recover the previous scope after doing so.\n"},"Lean.Compiler.LCNF.ScopeM.setScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeM.setScope","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.setScope","doc":""},"Lean.Compiler.LCNF.ScopeM.isInScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L41-L43","name":"Lean.Compiler.LCNF.ScopeM.isInScope","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.isInScope","doc":"Check whether `fvarId` is in the current scope, that is, was declared within\nthe current `fun` declaration that is being 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a new `FVarId` to the current scope.\n"},"Lean.Compiler.LCNF.ScopeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L13-L13","name":"Lean.Compiler.LCNF.ScopeM","line":13,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM","doc":"A general abstraction for the idea of a scope in the compiler.\n"},"Lean.Compiler.LCNF.Scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/MonadScope.lean#L10-L10","name":"Lean.Compiler.LCNF.Scope","line":10,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.Scope","doc":""},"Lean.Compiler.LCNF.Renaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Renaming.lean#L12-L12","name":"Lean.Compiler.LCNF.Renaming","line":12,"kind":"def","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Renaming","doc":"A mapping from free variable id to binder name.\n"},"Lean.Compiler.LCNF.ReduceJpArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L18-L60","name":"Lean.Compiler.LCNF.ReduceJpArity.reduce","line":18,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceJpArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L16-L16","name":"Lean.Compiler.LCNF.ReduceJpArity.ReduceM","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L124-L141","name":"Lean.Compiler.LCNF.ReduceArity.reduce","line":124,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L122-L122","name":"Lean.Compiler.LCNF.ReduceArity.ReduceM","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.paramMask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L120-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context.paramMask","line":120,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.paramMask","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L1-L1","name":"Lean.Compiler.LCNF.ReduceArity.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.mk","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L118-L118","name":"Lean.Compiler.LCNF.ReduceArity.Context.declName","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.declName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L119-L119","name":"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L117-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context","line":117,"kind":"structure","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L26-L27","name":"Lean.Compiler.LCNF.PullLetDecls.withParams","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withParams","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L29-L30","name":"Lean.Compiler.LCNF.PullLetDecls.withNewScope","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withNewScope","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L23-L24","name":"Lean.Compiler.LCNF.PullLetDecls.withFVar","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withFVar","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L36-L46","name":"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","line":36,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c5394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cLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.Context","doc":""},"Lean.Compiler.LCNF.PullFunDecls.pull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L146-L163","name":"Lean.Compiler.LCNF.PullFunDecls.pull","line":146,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.pull","doc":"Pull 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Extract from the state any local function declarations that depends on the given\nparameters.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L40-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L32-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable. The idea is that we have to stop pulling these declarations because they\ndepend on `fvarId`.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L49-L54","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","line":49,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L56-L58","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L117-L119","name":"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","line":117,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","doc":"Similar to `attachFVarDeps`. Extract from the state any local function declarations that depends on the given\nparameters, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attachJps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L121-L125","name":"Lean.Compiler.LCNF.PullFunDecls.attachJps","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachJps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L109-L111","name":"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","line":109,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attach.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L91-L92","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visited","line":91,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visited","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L94-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visit","line":94,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visit","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L87-L89","name":"Lean.Compiler.LCNF.PullFunDecls.attach.go","line":87,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L82-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach","line":82,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach","doc":"Attach the given array of local function declarations and join points to `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.addToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L131-L140","name":"Lean.Compiler.LCNF.PullFunDecls.addToPull","line":131,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.addToPull","doc":"Add local function declaration (or join point if `isFun = false`) to the 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"},"Lean.Compiler.LCNF.LambdaLifting.LiftM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L56-L56","name":"Lean.Compiler.LCNF.LambdaLifting.LiftM","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.LiftM","doc":"Monad for applying lambda lifting. "},"Lean.Compiler.LCNF.LambdaLifting.Context.suffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L26-L26","name":"Lean.Compiler.LCNF.LambdaLifting.Context.suffix","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.suffix","doc":"Suffix for the new auxiliary declarations being created. "},"Lean.Compiler.LCNF.LambdaLifting.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L1-L1","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mk","doc":""},"Lean.Compiler.LCNF.LambdaLifting.Context.minSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L41-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context.minSize","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.minSize","doc":"Only local functions with `size > minSize` are lambda lifted.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L31-L31","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","doc":"Declaration where lambda lifting is being applied.\nWe use it to provide the \"base name\" for auxiliary declarations and the flag `safe`.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L24-L24","name":"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","doc":"If `liftInstParamOnly` is `true`, then only local functions that take\nlocal instances as parameters are lambda lifted.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L36-L36","name":"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","doc":"If true, the lambda-lifted functions inherit the inline attribute from `mainDecl`.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L19-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context","line":19,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context","doc":"Context for the `LiftM` monad. "},"Lean.Compiler.LCNF.LCtx.toLocalContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L63-L71","name":"Lean.Compiler.LCNF.LCtx.toLocalContext","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.toLocalContext","doc":"Convert a LCNF local context into a regular Lean local context.\n"},"Lean.Compiler.LCNF.LCtx.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L15-L15","name":"Lean.Compiler.LCNF.LCtx.params","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.params","doc":""},"Lean.Compiler.LCNF.LCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L1-L1","name":"Lean.Compiler.LCNF.LCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.mk","doc":""},"Lean.Compiler.LCNF.LCtx.letDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L16-L16","name":"Lean.Compiler.LCNF.LCtx.letDecls","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.letDecls","doc":""},"Lean.Compiler.LCNF.LCtx.funDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L17-L17","name":"Lean.Compiler.LCNF.LCtx.funDecls","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.funDecls","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L32-L33","name":"Lean.Compiler.LCNF.LCtx.eraseParams","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParams","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L29-L30","name":"Lean.Compiler.LCNF.LCtx.eraseParam","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParam","doc":""},"Lean.Compiler.LCNF.LCtx.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L35-L36","name":"Lean.Compiler.LCNF.LCtx.eraseLetDecl","line":35,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L39-L44","name":"Lean.Compiler.LCNF.LCtx.eraseFunDecl","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L52-L57","name":"Lean.Compiler.LCNF.LCtx.eraseCode","line":52,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseCode","doc":""},"Lean.Compiler.LCNF.LCtx.eraseAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L46-L50","name":"Lean.Compiler.LCNF.LCtx.eraseAlts","line":46,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseAlts","doc":""},"Lean.Compiler.LCNF.LCtx.addParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L20-L21","name":"Lean.Compiler.LCNF.LCtx.addParam","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addParam","doc":""},"Lean.Compiler.LCNF.LCtx.addLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L23-L24","name":"Lean.Compiler.LCNF.LCtx.addLetDecl","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.addFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L26-L27","name":"Lean.Compiler.LCNF.LCtx.addFunDecl","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L14-L18","name":"Lean.Compiler.LCNF.LCtx","line":14,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx","doc":"LCNF local context.\n"},"Lean.Compiler.LCNF.JoinPointFinder.replace.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L183-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace.go","line":183,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L177-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace","line":177,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace","doc":"Replace all join point candidate `fun` declarations with `jp` ones\nand all calls to them with `jmp`s.\n"},"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L32-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L138-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find.go","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L134-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find","line":134,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find","doc":"Find all `fun` declarations that qualify as a join point, that is:\n- are always fully applied\n- are always called in tail position\n\nWhere a `fun` `f` is in tail position iff it is called as follows:\n```\nlet res := f arg\nres\n```\nThe majority (if not all) tail calls will be brought into this form\nby the simplifier pass.\n\nFurthermore a `fun` disqualifies as a join point if turning it into a join\npoint would turn a call to it into an out of scope join point.\nThis can happen if we have something like:\n```\ndef test (b : Bool) (x y : Nat) : Nat :=\n fun myjp x => Nat.add x (Nat.add x x)\n fun f y =>\n let x := Nat.add y y\n myjp x\n fun f y =>\n let x := Nat.mul y y\n myjp x\n cases b (f x) (g y)\n```\n`f` and `g` can be detected as a join point right away, however\n`myjp` can only ever be detected as a join point after we have established\nthis. This is because otherwise the calls to `myjp` in `f` and `g` would\nproduce out of scope join point jumps.\n"},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L51-L51","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L48-L48","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L46-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","doc":"The `FVarId`s of all `fun` declarations that were declared within the\ncurrent `fun`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L41-L41","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","doc":"All current join point candidates accessible by their `FVarId`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L37-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState","line":37,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState","doc":"The state for the join point candidate finder.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L50-L50","name":"Lean.Compiler.LCNF.JoinPointFinder.FindM","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L31-L31","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","doc":"The set of candidates that rely on this candidate to be a join point.\nFor a more detailed explanation see the documentation of `find`\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L26-L26","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","doc":"The arity of the candidate\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L22-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","doc":"Info about a join point candidate (a `fun` declaration) during the find phase.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L360-L365","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","doc":"We call this whenever we enter a new join point. It will set the current\njoin point and extend the list of candidates by all of the parameters of\nthe join point. This is so in the case of nested join points that refer\nto parameters of the current one we extend the context of the nested\njoin points by said parameters.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L348-L351","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","line":348,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","doc":"We call this whenever we enter a new local function. It clears both the\ncurrent join point and the list of candidates since we cant lift join\npoints outside of functions as explained in `mergeJpContextIfNecessary`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L283-L293","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","line":283,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","doc":"Same as `withNewCandidate` but with multiple `FVarId`s.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L272-L278","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","doc":"Add a new candidate to the current scope + to the list of candidates\nif we are currently within a join point. Then execute `x`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L373-L376","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","line":373,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","doc":"We call this whenever we visit a new arm of a cases statement.\nIt will back up the current scope (since we are doing a case split\nand want to continue with other arms afterwards) and add all of the\nparameters of the match arm to the list of candidates.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L261-L266","name":"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","doc":"Replace a free variable if necessary, that is:\n- It is in the list of candidates\n- We are currently within a join point (if we are within a function there\n cannot be a need to replace them since we dont extend their context)\n- Said join point actually has a replacement parameter registered.\notherwise just return `fvar`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L337-L341","name":"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","line":337,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","doc":"Merge the extended context of two join points if necessary. That is\nif we have a structure such as:\n```\njp j.1 ... =>\n jp j.2 .. =>\n ...\n ...\n```\nAnd we are just done visiting `j.2` we want to extend the context of\n`j.1` by all free variables that the context of `j.2` was extended by\nas well because we need to drag these variables through at the call sites\nof `j.2` in `j.1`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L313-L321","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","line":313,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","doc":"Extend the context of the current join point (if we are within one)\nby `fvar` if necessary.\nThis is necessary if:\n- `fvar` is not in scope (that is, was declared outside of the current jp)\n- we have not already extended the context by `fvar`\n- the list of candidates contains `fvar`. This is because if we have something\n like:\n ```\n let x := ..\n fun f a =>\n jp j b =>\n let y := x\n y\n ```\n There is no point in extending the context of `j` by `x` because we\n cannot lift a join point outside of a local function declaration.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L395-L397","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","line":395,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L398-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L390-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend","line":390,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend","doc":"Use all of the above functions to find free variables declared outside\nof join points that said join points can be reasonaly extended by. Reasonable\nmeaning that in case the current join point is nested within a function\ndeclaration we will not extend it by free variables declared before the\nfunction declaration because we cannot lift join points outside of function\ndeclarations.\n\nAll of this is done to eliminate dependencies of join points onto their\nposition within the code so we can pull them out as far as possible, hopefully\nenabling new inlining possibilities in the next simplifier run.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L246-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","line":246,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","doc":"A map from join point `FVarId`s to a respective map from free variables\nto `Param`s. The free variables in this map are the once that the context\nof said join point will be extended by by passing in the respective parameter.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L240-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","line":240,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","doc":"The state managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L251-L251","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","line":251,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","doc":"The monad for the `extendJoinPointContext` pass.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L229-L229","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","doc":"The `FVarId` of the current join point if we are currently inside one.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L235-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","line":235,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","doc":"The list of valid candidates for extending the context. This will be\nall `let` and `fun` declarations as well as all `jp` parameters up\nuntil the last `fun` declaration in the tree.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L225-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","line":225,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","doc":"The context managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L561-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","line":561,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L516-L519","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","line":516,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L521-L559","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","line":521,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L511-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","line":511,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","doc":"Take a look at each join point and each of their call sites. If all\ncall sites of a join point have one or more arguments in common, for example:\n```\njp _jp.1 a b c => ...\n...\ncases foo\n| n1 => jmp _jp.1 d e f\n| n2 => jmp _jp.1 g e h\n```\nWe can get rid of the common argument in favour of inlining it directly\ninto the join point (in this case the `e`). This reduces the amount of\narguments we have to pass around drastically for example in `ReaderT` based\nmonad stacks.\n\nNote 1: This transformation can in certain niche cases obtain better results.\nFor example:\n```\njp foo a b => ..\nlet x := ...\ncases discr\n| n1 => jmp foo x y\n| n2 => jmp foo x z\n```\nHere we will not collapse the `x` since it is defined after the join point `foo`\nand thus not accessible for substitution yet. We could however reorder the code in\nsuch a way that this is possible, this is currently not done since we observe\nthan in praxis most of the applications of this transformation can occur naturally\nwithout reordering.\n\nNote 2: This transformation is kind of the opposite of `JoinPointContextExtender`.\nHowever we still benefit from the extender because in the `simp` run after it\nwe might be able to pull join point declarations further up in the hierarchy\nof nested functions/join points which in turn might enable additional optimizations.\nAfter we have performed all of these optimizations we can take away the\n(remaining) common arguments and end up with nicely floated and optimized\ncode that has as little arguments as possible in the join points.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L468-L469","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","line":468,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L465-L465","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","line":465,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L466-L466","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L463-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","line":463,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","doc":"A map, that for each join point id contains a map from all (so far)\nduplicated argument ids to the respective duplicate value\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L458-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","line":458,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","doc":"State for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L453-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","line":453,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","doc":"The variables that are in scope at the time of the definition of\nthe join point.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L448-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","line":448,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","doc":"Context for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.Internalize.internalizeParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L40-L46","name":"Lean.Compiler.LCNF.Internalize.internalizeParam","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeParam","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L48-L55","name":"Lean.Compiler.LCNF.Internalize.internalizeLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeLetDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L59-L67","name":"Lean.Compiler.LCNF.Internalize.internalizeFunDecl","line":59,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeFunDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L89-L93","name":"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L69-L85","name":"Lean.Compiler.LCNF.Internalize.internalizeCode","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCode","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L32-L33","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L29-L30","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","line":29,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","doc":"The 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It \"translates\" the free variables\nin the input expressions and `Code`, into new fresh free variables in the\nlocal 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context.\n"},"Lean.Compiler.LCNF.FloatLetIn.instReprDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instReprDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instReprDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialNewArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L149-L152","name":"Lean.Compiler.LCNF.FloatLetIn.initialNewArms","line":149,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialNewArms","doc":"Compute the initial new arms. This will just set up a map from all arms of\n`cs` to empty `Array`s, plus one additional entry for `dont`.\n"},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L132-L137","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L142-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","line":142,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L140-L141","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","line":140,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L118-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions","doc":"Compute the initial decision for all declarations that `BaseFloatM` collected\nup to this point, with respect to `cs`. The initial decisions are:\n- `dont` if the declaration is detected by `ignore?`\n- `dont` if the declaration is the discriminant of `cs` since we obviously need\n the discriminant to be computed before the match.\n- `dont` if we see the declaration being used in more than one cases arm\n- `arm` or `default` if we see the declaration only being used in exactly one cases arm\n- `unknown` otherwise\n"},"Lean.Compiler.LCNF.FloatLetIn.ignore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L100-L106","name":"Lean.Compiler.LCNF.FloatLetIn.ignore?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.ignore?","doc":"Whether to ignore `decl` for the floating mechanism. We want to do this if:\n- `decl`' is storing a typeclass instance\n- `decl` is a projection from a variable that is storing a typeclass instance\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L249-L261","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","line":249,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","doc":"Iterate through the collected declarations,\ndetermining from the bottom up whether they (and the declarations they refer to)\nshould get moved down into the arms of the cases statement or not.\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L263-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","line":263,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","doc":""},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L240-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn","doc":"Iterate throgh `decl`, pushing local declarations that are only used in one\ncontrol flow arm into said arm in order to avoid useless computations.\n"},"Lean.Compiler.LCNF.FloatLetIn.float.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L229-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float.goFVar","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L224-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float","doc":"Will:\n- put `decl` into the arm it is marked to be moved into\n- for any variables that might occur in `decl` and are of interest:\n - if they are already meant to be floated into the same arm or not at all leave them untouched:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => x * y\n | m => z\n ```\n If we are at `y` `x` is alreayd marked to be floated into `n` as well.\n - if there hasn't be a decision yet, that is they are marked with `.unknown` we float\n them into the same arm as the current value:\n ```\n let x := ..\n let y := x + 2\n cases z with\n | n => y\n | m => z\n ```\n Here `x` is initially marked as `.unknown` since it occurs in no branch, however\n since we want to move `y` into the `n` branch we can also decide to move `x`\n into the `n` branch. Note that this decision might be revoked later on in the case of:\n ```\n let x := ..\n let a := x + 1\n let y := x + 2\n cases z with\n | n => y\n | m => a\n ```\n When we visit `a` `x` is now marked as getting moved into `n` but since it also occurs\n in `a` which wants to be moved somewhere else we will instead decide to not move `x`\n at all.\n - if they are meant to be floated somewhere else decide that they wont get floated:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => y\n | m => x\n ```\n If we are at `y` `x` is still marked to be moved but we don't want that.\n"},"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L174-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.dontFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L170-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat","line":170,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat","doc":"Will:\n- put `decl` into the `dont` arm\n- decide that any free variable that occurs in `decl` and is a declaration\n of interest as not getting moved either.\n```\nlet x := ...\nlet y := ...\nlet z := x + y\ncases z with\n| n => z * x\n| m => z * y\n```\nHere `x` and `y` are originally marked as getting floated into `n` and `m`\nrespectively but since `z` can't be moved we don't want that to move `x` and `y`.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L69-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","doc":"A map from decisions (excluding `unknown`) to the declarations with\nthese decisions (in correct order). Basically:\n- Which declarations do we not move\n- Which declarations do we move into a certain arm\n- Which declarations do we move into the default arm\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L61-L61","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","line":61,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","doc":"A map from identifiers of declarations to their current decision.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L57-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState","line":57,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState","doc":"The state for `FloatM`\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L79-L79","name":"Lean.Compiler.LCNF.FloatLetIn.FloatM","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatM","doc":"Use to compute the actual floating.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L33-L37","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","line":33,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","doc":"No decision has been made yet.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L40-L42","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.Decision.dont":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L28-L32","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.dont","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.dont","doc":"Dont move this declaration it is needed where it is right now.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L24-L27","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.default","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.default","doc":"Push into the default arm.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.arm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L19-L23","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.arm","line":19,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.arm","doc":"Push into the arm with name `name`.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L18-L38","name":"Lean.Compiler.LCNF.FloatLetIn.Decision","line":18,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision","doc":"The decision of the float mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L74-L74","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","doc":"Use to collect relevant declarations for the floating mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L52-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","doc":"All the declarations that were collected in the current LCNF basic\nblock up to the current statement (in reverse order for efficiency).\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L47-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","line":47,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","doc":"The context for 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free variable substitution.\nWe use these substitutions when inlining definitions and \"internalizing\" LCNF code into `CompilerM`.\nDuring the internalization process, we ensure all free variables in the LCNF code do not collide with existing ones\nat the `CompilerM` local context.\nRemark: in LCNF, (computationally relevant) data is in A-normal form, but this is not the case for types and type formers.\nSo, when inlining we often want to replace a free variable with a type or type former.\n\nThe substitution contains entries `fvarId ↦ e` s.t., `e` is a valid LCNF argument. 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Note that this is an erased LCNF type\ninstead of the fully dependent one that might have been the original\ntype of the declaration in the `Environment`.\n"},"Lean.Compiler.LCNF.Decl.toMono.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToMono.lean#L138-L144","name":"Lean.Compiler.LCNF.Decl.toMono.go","line":138,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono.go","doc":""},"Lean.Compiler.LCNF.Decl.toMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToMono.lean#L135-L144","name":"Lean.Compiler.LCNF.Decl.toMono","line":135,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono","doc":""},"Lean.Compiler.LCNF.Decl.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToExpr.lean#L112-L113","name":"Lean.Compiler.LCNF.Decl.toExpr","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToExpr.html#Lean.Compiler.LCNF.Decl.toExpr","doc":""},"Lean.Compiler.LCNF.Decl.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L332-L334","name":"Lean.Compiler.LCNF.Decl.specialize","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Decl.specialize","doc":""},"Lean.Compiler.LCNF.Decl.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L498-L499","name":"Lean.Compiler.LCNF.Decl.size","line":498,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.size","doc":""},"Lean.Compiler.LCNF.Decl.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp.lean#L23-L38","name":"Lean.Compiler.LCNF.Decl.simp?","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp?","doc":""},"Lean.Compiler.LCNF.Decl.simp.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp.lean#L69-L74","name":"Lean.Compiler.LCNF.Decl.simp.go","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp.go","doc":""},"Lean.Compiler.LCNF.Decl.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp.lean#L40-L74","name":"Lean.Compiler.LCNF.Decl.simp","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp","doc":""},"Lean.Compiler.LCNF.Decl.setLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Level.lean#L150-L152","name":"Lean.Compiler.LCNF.Decl.setLevelParams","line":150,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.Decl.setLevelParams","doc":"Collect universe level parameters collecting in the type, parameters, and value, and then\nset `decl.levelParams` with the resulting value.\n"},"Lean.Compiler.LCNF.Decl.saveMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L59-L60","name":"Lean.Compiler.LCNF.Decl.saveMono","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveMono","doc":""},"Lean.Compiler.LCNF.Decl.saveBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L56-L57","name":"Lean.Compiler.LCNF.Decl.saveBase","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveBase","doc":""},"Lean.Compiler.LCNF.Decl.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L62-L66","name":"Lean.Compiler.LCNF.Decl.save","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.save","doc":""},"Lean.Compiler.LCNF.Decl.safe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L490-L490","name":"Lean.Compiler.LCNF.Decl.safe","line":490,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.safe","doc":"We set this flag to false during LCNF conversion if the Lean function\nassociated with this function was tagged as partial or unsafe. This\ninformation affects how static analyzers treat function applications\nof this kind. See `DefinitionSafety`.\n`partial` and `unsafe` functions may not be terminating, but Lean\nfunctions terminate, and some static analyzers exploit this\nfact. So, we use the following semantics. Suppose whe hav a (large) natural\nnumber `C`. We consider a nondeterministic model for computation of Lean expressions as\nfollows:\nEach call to a partial/unsafe function uses up one \"recursion token\".\nPrior to consuming `C` recursion tokens all partial functions must be called\nas normal. Once the model has used up `C` recursion tokens, a subsequent call to\na partial function has the following nondeterministic options: it can either call\nthe function again, or return any value of the target type (even a noncomputable one).\nLarger values of `C` yield less nondeterminism in the model, but even the intersection of\nall choices of `C` yields nondeterminism where `def loop : A := loop` returns any value of type `A`.\nThe compiler fixes a choice for `C`. This is a fixed constant greater than 2^2^64,\nwhich is allowed to be compiler and architecture dependent, and promises that it will\nproduce an execution consistent with every possible nondeterministic outcome of the `C`-model.\nIn the event that different nondeterministic executions disagree, the compiler is required to\nexhaust resources or output a looping computation.\n"},"Lean.Compiler.LCNF.Decl.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L69-L71","name":"Lean.Compiler.LCNF.Decl.reduceJpArity","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.Decl.reduceJpArity","doc":"Try to reduce arity of join points\n"},"Lean.Compiler.LCNF.Decl.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L147-L178","name":"Lean.Compiler.LCNF.Decl.reduceArity","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.Decl.reduceArity","doc":""},"Lean.Compiler.LCNF.Decl.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L466-L466","name":"Lean.Compiler.LCNF.Decl.recursive","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.recursive","doc":"We set this flag to true during LCNF conversion. When we receive\na block of functions to be compiled, we set this flag to `true`\nif there is an application to the function in the block containing\nit. This is an approximation, but it should be good enough because\nin the frontend, we invoke the compiler with blocks of strongly connected\ncomponents only.\nWe use this information to control inlining.\n"},"Lean.Compiler.LCNF.Decl.pullLetDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L95-L100","name":"Lean.Compiler.LCNF.Decl.pullLetDecls","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullLetDecls","doc":""},"Lean.Compiler.LCNF.Decl.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L102-L109","name":"Lean.Compiler.LCNF.Decl.pullInstances","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullInstances","doc":""},"Lean.Compiler.LCNF.Decl.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L173-L176","name":"Lean.Compiler.LCNF.Decl.pullFunDecls","line":173,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.Decl.pullFunDecls","doc":"Pull local function declarations and join points in the given declaration.\n"},"Lean.Compiler.LCNF.Decl.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L451-L451","name":"Lean.Compiler.LCNF.Decl.params","line":451,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.params","doc":"Parameters.\n"},"Lean.Compiler.LCNF.Decl.noinlineAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L507-L508","name":"Lean.Compiler.LCNF.Decl.noinlineAttr","line":507,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.noinlineAttr","doc":""},"Lean.Compiler.LCNF.Decl.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L437-L437","name":"Lean.Compiler.LCNF.Decl.name","line":437,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.name","doc":"The name of the declaration from the `Environment` it came from\n"},"Lean.Compiler.LCNF.Decl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L1-L1","name":"Lean.Compiler.LCNF.Decl.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.mk","doc":""},"Lean.Compiler.LCNF.Decl.levelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L441-L441","name":"Lean.Compiler.LCNF.Decl.levelParams","line":441,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.levelParams","doc":"Universe level parameter names.\n"},"Lean.Compiler.LCNF.Decl.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L156-L158","name":"Lean.Compiler.LCNF.Decl.lambdaLifting","line":156,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.Decl.lambdaLifting","doc":""},"Lean.Compiler.LCNF.Decl.isTemplateLike":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L605-L613","name":"Lean.Compiler.LCNF.Decl.isTemplateLike","line":605,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isTemplateLike","doc":"Return `true` if `decl` is supposed to be inlined/specialized.\n"},"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L539-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","line":539,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","doc":""},"Lean.Compiler.LCNF.Decl.isCasesOnParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L536-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?","line":536,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?","doc":"Return `some i` if `decl` is of the form\n```\ndef f (a_0 ... a_i ...) :=\n ...\n cases a_i\n | ...\n | ...\n```\nThat is, `f` is a sequence of declarations followed by a `cases` on the parameter `i`.\nWe use this function to decide whether we should inline a declaration tagged with\n`[inline_if_reduce]` or 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`s`.\n"},"Lean.Compiler.LCNF.Code.cse.goFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CSE.lean#L49-L53","name":"Lean.Compiler.LCNF.Code.cse.goFunDecl","line":49,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CSE.html#Lean.Compiler.LCNF.Code.cse.goFunDecl","doc":""},"Lean.Compiler.LCNF.Code.cse.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CSE.lean#L55-L96","name":"Lean.Compiler.LCNF.Code.cse.go","line":55,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CSE.html#Lean.Compiler.LCNF.Code.cse.go","doc":""},"Lean.Compiler.LCNF.Code.cse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CSE.lean#L46-L96","name":"Lean.Compiler.LCNF.Code.cse","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/CSE.html#Lean.Compiler.LCNF.Code.cse","doc":""},"Lean.Compiler.LCNF.Code.containsConst.goLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Testing.lean#L27-L30","name":"Lean.Compiler.LCNF.Code.containsConst.goLetValue","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Testing.html#Lean.Compiler.LCNF.Code.containsConst.goLetValue","doc":""},"Lean.Compiler.LCNF.Code.containsConst.goExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Testing.lean#L19-L26","name":"Lean.Compiler.LCNF.Code.containsConst.goExpr","line":19,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Testing.html#Lean.Compiler.LCNF.Code.containsConst.goExpr","doc":""},"Lean.Compiler.LCNF.Code.containsConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Testing.lean#L11-L30","name":"Lean.Compiler.LCNF.Code.containsConst","line":11,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Testing.html#Lean.Compiler.LCNF.Code.containsConst","doc":""},"Lean.Compiler.LCNF.Code.collectUsed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L647-L660","name":"Lean.Compiler.LCNF.Code.collectUsed","line":647,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.collectUsed","doc":""},"Lean.Compiler.LCNF.Code.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L159-L159","name":"Lean.Compiler.LCNF.Code.cases","line":159,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.cases","doc":""},"Lean.Compiler.LCNF.Code.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L23-L24","name":"Lean.Compiler.LCNF.Code.bind","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.Code.bind","doc":"Return code that is equivalent to `c >>= f`. That is, executes `c`, and then `f x`, where\n`x` is a variable that contains the result of `c`'s computation.\n\nIf `c` contains a jump to a join point `jp_i` not declared in `c`, we throw an exception because\nan invalid block would be generated. It would be invalid because `f` would not\nbe applied to `jp_i`. Note that, we could have decided to create a copy of `jp_i` where we apply `f` to it,\nby we decided to not do it to avoid code duplication.\n"},"Lean.Compiler.LCNF.Code.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L231-L231","name":"Lean.Compiler.LCNF.Code.beq","line":231,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.beq","doc":""},"Lean.Compiler.LCNF.Code.applyRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Renaming.lean#L39-L49","name":"Lean.Compiler.LCNF.Code.applyRenaming","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Code.applyRenaming","doc":""},"Lean.Compiler.LCNF.Code.alphaEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/AlphaEqv.lean#L133-L134","name":"Lean.Compiler.LCNF.Code.alphaEqv","line":133,"kind":"def","docLink":"./Lean/Compiler/LCNF/AlphaEqv.html#Lean.Compiler.LCNF.Code.alphaEqv","doc":"Return `true` if `c₁` and `c₂` are alpha equivalent.\n"},"Lean.Compiler.LCNF.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L154-L162","name":"Lean.Compiler.LCNF.Code","line":154,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code","doc":""},"Lean.Compiler.LCNF.Closure.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L148-L150","name":"Lean.Compiler.LCNF.Closure.run","line":148,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.run","doc":""},"Lean.Compiler.LCNF.Closure.markVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L65-L66","name":"Lean.Compiler.LCNF.Closure.markVisited","line":65,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.markVisited","doc":"Mark a free variable as already visited.\nWe perform a topological sort over the dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L143-L144","name":"Lean.Compiler.LCNF.Closure.collectType","line":143,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectType","doc":"Collect dependencies of the given expression. "},"Lean.Compiler.LCNF.Closure.collectParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L73-L74","name":"Lean.Compiler.LCNF.Closure.collectParams","line":73,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectParams","doc":"Collect dependencies in parameters. We need this because parameters may\ncontain other type parameters.\n"},"Lean.Compiler.LCNF.Closure.collectLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L82-L87","name":"Lean.Compiler.LCNF.Closure.collectLetValue","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectLetValue","doc":""},"Lean.Compiler.LCNF.Closure.collectFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L109-L112","name":"Lean.Compiler.LCNF.Closure.collectFunDecl","line":109,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFunDecl","doc":"Collect dependencies of a local function declaration. "},"Lean.Compiler.LCNF.Closure.collectFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L118-L140","name":"Lean.Compiler.LCNF.Closure.collectFVar","line":118,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFVar","doc":"Process the given free variable.\nIf it has not already been visited and is in scope, we collect its dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L93-L106","name":"Lean.Compiler.LCNF.Closure.collectCode","line":93,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectCode","doc":"Collect dependencies in the given code. We need this function to be able\nto collect dependencies in a local function declaration.\n"},"Lean.Compiler.LCNF.Closure.collectArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L76-L80","name":"Lean.Compiler.LCNF.Closure.collectArg","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectArg","doc":""},"Lean.Compiler.LCNF.Closure.State.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L39-L39","name":"Lean.Compiler.LCNF.Closure.State.visited","line":39,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.visited","doc":"Set of already visited free variables.\n"},"Lean.Compiler.LCNF.Closure.State.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L43-L43","name":"Lean.Compiler.LCNF.Closure.State.params","line":43,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.params","doc":"Free variables that must become new parameters of the code being specialized.\n"},"Lean.Compiler.LCNF.Closure.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L1-L1","name":"Lean.Compiler.LCNF.Closure.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.mk","doc":""},"Lean.Compiler.LCNF.Closure.State.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L54-L54","name":"Lean.Compiler.LCNF.Closure.State.decls","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.decls","doc":"Let-declarations and local function declarations that are going to be \"copied\" to the code\nbeing processed. For example, when this module is used in the code specializer, the let-declarations\noften contain the instance values. In the current specialization heuristic all let-declarations are ground values\n(i.e., they do not contain free-variables).\nHowever, local function declarations may contain free variables.\n\nAll customers of this module try to avoid work duplication. 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"},"Lake.targetAttr":{"sourceLink":"https://example.com#L35-L36","name":"Lake.targetAttr","line":35,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.targetAttr","doc":""},"Lake.tar":{"sourceLink":"https://example.com#L106-L120","name":"Lake.tar","line":106,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.tar","doc":"Pack a directory `dir` using `tar` into the archive `file`. "},"Lake.stringToLegalOrSimpleName":{"sourceLink":"https://example.com#L47-L48","name":"Lake.stringToLegalOrSimpleName","line":47,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.stringToLegalOrSimpleName","doc":"First tries to convert a string into a legal name.\nIf that fails, defaults to making it a simple name (e.g., `Lean.Name.mkSimple`).\nCurrently used for package and target names taken from the CLI.\n"},"Lake.sharedLibPathEnvVar":{"sourceLink":"https://example.com#L30-L36","name":"Lake.sharedLibPathEnvVar","line":30,"kind":"def","docLink":"./Lake/Util/NativeLib.html#Lake.sharedLibPathEnvVar","doc":"The environment variable that stores the search path\nused to find shared libraries on the `Platform`.\n"},"Lake.sharedLibExt":{"sourceLink":"https://example.com#L11-L14","name":"Lake.sharedLibExt","line":11,"kind":"def","docLink":"./Lake/Util/NativeLib.html#Lake.sharedLibExt","doc":"The shared library file extension for the `Platform`. 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"},"Lake.registerOrderedTagAttribute":{"sourceLink":"https://example.com#L16-L40","name":"Lake.registerOrderedTagAttribute","line":16,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.registerOrderedTagAttribute","doc":""},"Lake.recFetchMemoize":{"sourceLink":"https://example.com#L108-L112","name":"Lake.recFetchMemoize","line":108,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.recFetchMemoize","doc":"`recFetchAcyclic` augmented with a `MonadDStore` to\nmemoize fetch results and thus avoid computing the same result twice.\n"},"Lake.recFetchAcyclic":{"sourceLink":"https://example.com#L87-L95","name":"Lake.recFetchAcyclic","line":87,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.recFetchAcyclic","doc":"A `recFetch` augmented by a `CycleT` to guard against recursive cycles.\nIf the set of visited keys is finite, this function should provably terminate.\n\nWe use `keyOf` to the derive the unique key of a fetch from its descriptor\n`a : α`. 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"},"Lake.getLeanLibDir":{"sourceLink":"https://example.com#L148-L149","name":"Lake.getLeanLibDir","line":148,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanLibDir","doc":"Get the Lean library directory of the detected Lean installation. "},"Lake.getLeanInstall":{"sourceLink":"https://example.com#L136-L137","name":"Lake.getLeanInstall","line":136,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanInstall","doc":"Get the detected Lean installation. "},"Lake.getLeanIncludeDir":{"sourceLink":"https://example.com#L152-L153","name":"Lake.getLeanIncludeDir","line":152,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanIncludeDir","doc":"Get the C include directory of the detected Lean installation. "},"Lake.getLeanCc?":{"sourceLink":"https://example.com#L180-L181","name":"Lake.getLeanCc?","line":180,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc?","doc":"Get the optional `LEAN_CC` compiler override of the detected Lean installation. "},"Lake.getLeanCc":{"sourceLink":"https://example.com#L176-L177","name":"Lake.getLeanCc","line":176,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc","doc":"Get the path of C compiler in the detected Lean installation. "},"Lake.getLeanAr":{"sourceLink":"https://example.com#L172-L173","name":"Lake.getLeanAr","line":172,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanAr","doc":"Get the path of the `ar` binary in the detected Lean installation. "},"Lake.getLean":{"sourceLink":"https://example.com#L160-L161","name":"Lake.getLean","line":160,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLean","doc":"Get the path of the `lean` binary in the detected Lean installation. "},"Lake.getLakeSrcDir":{"sourceLink":"https://example.com#L194-L195","name":"Lake.getLakeSrcDir","line":194,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeSrcDir","doc":"Get the source directory of the detected Lake installation. "},"Lake.getLakeLibDir":{"sourceLink":"https://example.com#L198-L199","name":"Lake.getLakeLibDir","line":198,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeLibDir","doc":"Get the Lean library directory of the detected Lake installation. "},"Lake.getLakeInstall":{"sourceLink":"https://example.com#L186-L187","name":"Lake.getLakeInstall","line":186,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeInstall","doc":"Get the detected Lake installation. "},"Lake.getLakeHome":{"sourceLink":"https://example.com#L190-L191","name":"Lake.getLakeHome","line":190,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeHome","doc":"Get the root directory of the detected Lake installation (e.g., `LAKE_HOME`). "},"Lake.getLakeEnv":{"sourceLink":"https://example.com#L116-L117","name":"Lake.getLakeEnv","line":116,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeEnv","doc":""},"Lake.getLake":{"sourceLink":"https://example.com#L202-L203","name":"Lake.getLake","line":202,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLake","doc":"Get the path of the `lake` binary in the detected Lake installation. "},"Lake.getIsVerbose":{"sourceLink":"https://example.com#L32-L33","name":"Lake.getIsVerbose","line":32,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsVerbose","doc":""},"Lake.getIsQuiet":{"sourceLink":"https://example.com#L35-L36","name":"Lake.getIsQuiet","line":35,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsQuiet","doc":""},"Lake.getIsOldMode":{"sourceLink":"https://example.com#L26-L27","name":"Lake.getIsOldMode","line":26,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.getIsOldMode","doc":""},"Lake.getFileMTime":{"sourceLink":"https://example.com#L199-L200","name":"Lake.getFileMTime","line":199,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.getFileMTime","doc":""},"Lake.getEnvSharedLibPath":{"sourceLink":"https://example.com#L130-L131","name":"Lake.getEnvSharedLibPath","line":130,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvSharedLibPath","doc":"Get the detected `sharedLibPathEnvVar` value of the Lake environment. "},"Lake.getEnvLeanSrcPath":{"sourceLink":"https://example.com#L126-L127","name":"Lake.getEnvLeanSrcPath","line":126,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanSrcPath","doc":"Get the detected `LEAN_SRC_PATH` value of the Lake environment. "},"Lake.getEnvLeanPath":{"sourceLink":"https://example.com#L122-L123","name":"Lake.getEnvLeanPath","line":122,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanPath","doc":"Get the detected `LEAN_PATH` value of the Lake environment. "},"Lake.getBinderIds":{"sourceLink":"https://example.com#L72-L78","name":"Lake.getBinderIds","line":72,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.getBinderIds","doc":""},"Lake.getAugmentedSharedLibPath":{"sourceLink":"https://example.com#L102-L103","name":"Lake.getAugmentedSharedLibPath","line":102,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedSharedLibPath","doc":"Get the augmented shared library path set by the context's workspace. "},"Lake.getAugmentedLeanSrcPath":{"sourceLink":"https://example.com#L98-L99","name":"Lake.getAugmentedLeanSrcPath","line":98,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanSrcPath","doc":"Get the augmented `LEAN_SRC_PATH` set by the context's workspace. "},"Lake.getAugmentedLeanPath":{"sourceLink":"https://example.com#L94-L95","name":"Lake.getAugmentedLeanPath","line":94,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanPath","doc":"Get the augmented `LEAN_PATH` set by the context's workspace. "},"Lake.getAugmentedEnv":{"sourceLink":"https://example.com#L106-L107","name":"Lake.getAugmentedEnv","line":106,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedEnv","doc":"Get the augmented environment variables set by the context's workspace. "},"Lake.forEachModuleIn":{"sourceLink":"https://example.com#L26-L35","name":"Lake.forEachModuleIn","line":26,"kind":"opaque","docLink":"./Lake/Config/Glob.html#Lake.forEachModuleIn","doc":""},"Lake.foldRightListAsync":{"sourceLink":"https://example.com#L262-L263","name":"Lake.foldRightListAsync","line":262,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightListAsync","doc":"Fold a `List` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldRightArrayAsync":{"sourceLink":"https://example.com#L266-L267","name":"Lake.foldRightArrayAsync","line":266,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldLeftListAsync":{"sourceLink":"https://example.com#L254-L255","name":"Lake.foldLeftListAsync","line":254,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftListAsync","doc":"Fold a `List` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.foldLeftArrayAsync":{"sourceLink":"https://example.com#L258-L259","name":"Lake.foldLeftArrayAsync","line":258,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.findPackage?":{"sourceLink":"https://example.com#L62-L63","name":"Lake.findPackage?","line":62,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.findModule?":{"sourceLink":"https://example.com#L66-L67","name":"Lake.findModule?","line":66,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.findLeanSysroot?":{"sourceLink":"https://example.com#L85-L95","name":"Lake.findLeanSysroot?","line":85,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanSysroot?","doc":"Try to find the sysroot of the given `lean` command (if it exists)\nby calling `lean --print-prefix` and returning the path it prints.\nDefaults to trying the `lean` in `PATH`.\n"},"Lake.findLeanLib?":{"sourceLink":"https://example.com#L74-L75","name":"Lake.findLeanLib?","line":74,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.findLeanInstall?":{"sourceLink":"https://example.com#L187-L192","name":"Lake.findLeanInstall?","line":187,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanInstall?","doc":"Try to find Lean's installation by first checking the\n`LEAN_SYSROOT` environment variable and then by trying `findLeanCmdHome?`.\nSee `LeanInstall.get` for how it assumes the Lean install is organized.\n"},"Lake.findLeanExe?":{"sourceLink":"https://example.com#L70-L71","name":"Lake.findLeanExe?","line":70,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.findLeanCmdInstall?":{"sourceLink":"https://example.com#L160-L161","name":"Lake.findLeanCmdInstall?","line":160,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanCmdInstall?","doc":"Try to find the installation of the given `lean` command\nby calling `findLeanCmdHome?`. See `LeanInstall.get` for how it assumes the\nLean install is organized.\n"},"Lake.findLakeLeanJointHome?":{"sourceLink":"https://example.com#L167-L173","name":"Lake.findLakeLeanJointHome?","line":167,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeLeanJointHome?","doc":"Check if Lake's executable is co-located with Lean, and, if so,\ntry to return their joint home by assuming they are both located at `/bin`.\n"},"Lake.findLakeInstall?":{"sourceLink":"https://example.com#L204-L210","name":"Lake.findLakeInstall?","line":204,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeInstall?","doc":"Try to find Lake's installation by\nfirst checking the `LAKE_HOME` environment variable\nand then by trying the `lakePackageHome?` of the running executable.\n\nIt assumes that the Lake installation is organized the same way it is built.\nThat is, with its binary located at `/build/bin/lake` and its static\nlibrary and `.olean` files in `/build/lib`, and its source files\nlocated directly in ``.\n"},"Lake.findInstall?":{"sourceLink":"https://example.com#L225-L239","name":"Lake.findInstall?","line":225,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findInstall?","doc":"Try to get Lake's install path by first trying `findLakeLeanHome?`\nthen by running `findLeanInstall?` and `findLakeInstall?`.\n\nIf Lake is co-located with `lean` (i.e., there is `lean` executable\nin the same directory as itself), it will assume it was installed with\nLean and that both Lake's and Lean's files are all located their shared\nsysroot.\nIn particular, their binaries are located in `/bin`,\ntheir Lean libraries in `/lib/lean`,\nLean's source files in `/src/lean`,\nand Lake's source files in `/src/lean/lake`.\n"},"Lake.findExternLib?":{"sourceLink":"https://example.com#L78-L79","name":"Lake.findExternLib?","line":78,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.fetchOrCreate":{"sourceLink":"https://example.com#L31-L38","name":"Lake.fetchOrCreate","line":31,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.fetchOrCreate","doc":""},"Lake.familyDef":{"sourceLink":"https://example.com#L169-L178","name":"Lake.familyDef","line":169,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.familyDef","doc":"The syntax:\n\n```lean\nfamily_def foo : Fam 0 := Nat\n```\n\nDeclares a new mapping for the open type family `Fam` type via the\nproduction of an axiom `Fam.foo : Data 0 = Nat` and an instance of `FamilyDef`\nthat uses this axiom for key `0`.\n"},"Lake.failOnBuildCycle":{"sourceLink":"https://example.com#L29-L33","name":"Lake.failOnBuildCycle","line":29,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.failOnBuildCycle","doc":""},"Lake.externLibAttr":{"sourceLink":"https://example.com#L32-L33","name":"Lake.externLibAttr","line":32,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.externLibAttr","doc":""},"Lake.expandOptType":{"sourceLink":"https://example.com#L66-L70","name":"Lake.expandOptType","line":66,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptType","doc":""},"Lake.expandOptIdent":{"sourceLink":"https://example.com#L85-L86","name":"Lake.expandOptIdent","line":85,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptIdent","doc":""},"Lake.expandBinders":{"sourceLink":"https://example.com#L152-L160","name":"Lake.expandBinders","line":152,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinders","doc":""},"Lake.expandBinderType":{"sourceLink":"https://example.com#L88-L89","name":"Lake.expandBinderType","line":88,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderType","doc":""},"Lake.expandBinderModifier":{"sourceLink":"https://example.com#L91-L95","name":"Lake.expandBinderModifier","line":91,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderModifier","doc":""},"Lake.expandBinderIdent":{"sourceLink":"https://example.com#L80-L83","name":"Lake.expandBinderIdent","line":80,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderIdent","doc":""},"Lake.exitIfErrorCode":{"sourceLink":"https://example.com#L20-L21","name":"Lake.exitIfErrorCode","line":20,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.exitIfErrorCode","doc":"Exit with `ExitCode` if it is not 0. Otherwise, continue. "},"Lake.exe":{"sourceLink":"https://example.com#L13-L19","name":"Lake.exe","line":13,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.exe","doc":""},"Lake.evalTerm":{"sourceLink":"https://example.com#L15-L15","name":"Lake.evalTerm","line":15,"kind":"opaque","docLink":"./Lake/Util/EvalTerm.html#Lake.evalTerm","doc":""},"Lake.eq_of_compareOfLessAndEq":{"sourceLink":"https://example.com#L51-L56","name":"Lake.eq_of_compareOfLessAndEq","line":51,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.eq_of_compareOfLessAndEq","doc":""},"Lake.env":{"sourceLink":"https://example.com#L10-L11","name":"Lake.env","line":10,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.env","doc":""},"Lake.drbmapOf":{"sourceLink":"https://example.com#L148-L149","name":"Lake.drbmapOf","line":148,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.drbmapOf","doc":""},"Lake.download":{"sourceLink":"https://example.com#L79-L90","name":"Lake.download","line":79,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.download","doc":"Download a file using `curl`, clobbering any existing file. "},"Lake.doElemTry_Else_":{"sourceLink":"https://example.com#L11-L12","name":"Lake.doElemTry_Else_","line":11,"kind":"def","docLink":"./Lake/Util/Sugar.html#Lake.doElemTry_Else_","doc":""},"Lake.dirExt":{"sourceLink":"https://example.com#L13-L14","name":"Lake.dirExt","line":13,"kind":"opaque","docLink":"./Lake/DSL/Extensions.html#Lake.dirExt","doc":""},"Lake.defaultTargetAttr":{"sourceLink":"https://example.com#L38-L47","name":"Lake.defaultTargetAttr","line":38,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultTargetAttr","doc":""},"Lake.defaultScriptAttr":{"sourceLink":"https://example.com#L20-L24","name":"Lake.defaultScriptAttr","line":20,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultScriptAttr","doc":""},"Lake.defaultPackagesDir":{"sourceLink":"https://example.com#L11-L11","name":"Lake.defaultPackagesDir","line":11,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.defaultPackagesDir","doc":"The default setting for a `WorkspaceConfig`'s `packagesDir` option. "},"Lake.defaultNativeLibDir":{"sourceLink":"https://example.com#L64-L64","name":"Lake.defaultNativeLibDir","line":64,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultNativeLibDir","doc":"The default setting for a `PackageConfig`'s `nativeLibDir` option. "},"Lake.defaultManifestFile":{"sourceLink":"https://example.com#L55-L55","name":"Lake.defaultManifestFile","line":55,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultManifestFile","doc":"The default setting for a `PackageConfig`'s `manifestFile` option. "},"Lake.defaultLeanLibDir":{"sourceLink":"https://example.com#L61-L61","name":"Lake.defaultLeanLibDir","line":61,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultLeanLibDir","doc":"The default setting for a `PackageConfig`'s `leanLibDir` option. "},"Lake.defaultIrDir":{"sourceLink":"https://example.com#L70-L70","name":"Lake.defaultIrDir","line":70,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultIrDir","doc":"The default setting for a `PackageConfig`'s `irDir` option. "},"Lake.defaultBuildDir":{"sourceLink":"https://example.com#L58-L58","name":"Lake.defaultBuildDir","line":58,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBuildDir","doc":"The default setting for a `PackageConfig`'s `buildDir` option. "},"Lake.defaultBinDir":{"sourceLink":"https://example.com#L67-L67","name":"Lake.defaultBinDir","line":67,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBinDir","doc":"The default setting for a `PackageConfig`'s `binDir` option. "},"Lake.declareOpaqueType":{"sourceLink":"https://example.com#L19-L29","name":"Lake.declareOpaqueType","line":19,"kind":"def","docLink":"./Lake/Util/Opaque.html#Lake.declareOpaqueType","doc":""},"Lake.customDataDecl":{"sourceLink":"https://example.com#L125-L131","name":"Lake.customDataDecl","line":125,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.customDataDecl","doc":"Macro for declaring new `CustomData`. "},"Lake.crlf2lf.go":{"sourceLink":"https://example.com#L144-L155","name":"Lake.crlf2lf.go","line":144,"kind":"opaque","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf.go","doc":""},"Lake.crlf2lf":{"sourceLink":"https://example.com#L141-L155","name":"Lake.crlf2lf","line":141,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf","doc":"This is the same as `String.replace text \"\\r\\n\" \"\\n\"`, but more efficient. "},"Lake.createParentDirs":{"sourceLink":"https://example.com#L60-L61","name":"Lake.createParentDirs","line":60,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.createParentDirs","doc":""},"Lake.computeTrace":{"sourceLink":"https://example.com#L31-L32","name":"Lake.computeTrace","line":31,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeTrace","doc":""},"Lake.computeListTrace":{"sourceLink":"https://example.com#L62-L63","name":"Lake.computeListTrace","line":62,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeListTrace","doc":""},"Lake.computeHash":{"sourceLink":"https://example.com#L124-L125","name":"Lake.computeHash","line":124,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeHash","doc":""},"Lake.computeFileHash":{"sourceLink":"https://example.com#L129-L130","name":"Lake.computeFileHash","line":129,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeFileHash","doc":""},"Lake.computeDynlibOfShared":{"sourceLink":"https://example.com#L106-L117","name":"Lake.computeDynlibOfShared","line":106,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.computeDynlibOfShared","doc":""},"Lake.computeArrayTrace":{"sourceLink":"https://example.com#L67-L68","name":"Lake.computeArrayTrace","line":67,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeArrayTrace","doc":""},"Lake.compileStaticLib":{"sourceLink":"https://example.com#L51-L58","name":"Lake.compileStaticLib","line":51,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileStaticLib","doc":""},"Lake.compileSharedLib":{"sourceLink":"https://example.com#L60-L67","name":"Lake.compileSharedLib","line":60,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileSharedLib","doc":""},"Lake.compileO":{"sourceLink":"https://example.com#L42-L49","name":"Lake.compileO","line":42,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileO","doc":""},"Lake.compileLeanModule":{"sourceLink":"https://example.com#L13-L40","name":"Lake.compileLeanModule","line":13,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileLeanModule","doc":""},"Lake.compileExe":{"sourceLink":"https://example.com#L69-L76","name":"Lake.compileExe","line":69,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileExe","doc":""},"Lake.compareOfLessAndEq_rfl":{"sourceLink":"https://example.com#L58-L60","name":"Lake.compareOfLessAndEq_rfl","line":58,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.compareOfLessAndEq_rfl","doc":""},"Lake.cmp_iff_eq":{"sourceLink":"https://example.com#L29-L30","name":"Lake.cmp_iff_eq","line":29,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.cmp_iff_eq","doc":""},"Lake.checkIfNewer":{"sourceLink":"https://example.com#L206-L207","name":"Lake.checkIfNewer","line":206,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.checkIfNewer","doc":"Check if the info's `MTIme` is at least `depMTime`. "},"Lake.captureProc?":{"sourceLink":"https://example.com#L55-L61","name":"Lake.captureProc?","line":55,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc?","doc":""},"Lake.captureProc":{"sourceLink":"https://example.com#L44-L53","name":"Lake.captureProc","line":44,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc","doc":""},"Lake.busyAcquireLockFile.busyLoop":{"sourceLink":"https://example.com#L57-L72","name":"Lake.busyAcquireLockFile.busyLoop","line":57,"kind":"opaque","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile.busyLoop","doc":""},"Lake.busyAcquireLockFile":{"sourceLink":"https://example.com#L54-L72","name":"Lake.busyAcquireLockFile","line":54,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile","doc":"Busy waits to acquire the lock represented by the `lockFile`.\nPrints a warning if on the first time it has to wait.\n"},"Lake.buildUnlessUpToDate":{"sourceLink":"https://example.com#L17-L28","name":"Lake.buildUnlessUpToDate","line":17,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildUnlessUpToDate","doc":""},"Lake.buildTop":{"sourceLink":"https://example.com#L137-L139","name":"Lake.buildTop","line":137,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildTop","doc":"Recursively fills a `MonadStore` of key-object pairs by\nbuilding objects topologically (ι.e., depth-first with memoization).\nIf a cycle is detected, the list of keys traversed is thrown.\n"},"Lake.buildStaticLib":{"sourceLink":"https://example.com#L68-L72","name":"Lake.buildStaticLib","line":68,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildStaticLib","doc":""},"Lake.buildO":{"sourceLink":"https://example.com#L56-L60","name":"Lake.buildO","line":56,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildO","doc":""},"Lake.buildLeanSharedLibOfStatic":{"sourceLink":"https://example.com#L90-L104","name":"Lake.buildLeanSharedLibOfStatic","line":90,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLibOfStatic","doc":""},"Lake.buildLeanSharedLib":{"sourceLink":"https://example.com#L74-L80","name":"Lake.buildLeanSharedLib","line":74,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLib","doc":""},"Lake.buildLeanO":{"sourceLink":"https://example.com#L62-L66","name":"Lake.buildLeanO","line":62,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanO","doc":""},"Lake.buildLeanExe":{"sourceLink":"https://example.com#L82-L88","name":"Lake.buildLeanExe","line":82,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanExe","doc":""},"Lake.buildIndexTop'":{"sourceLink":"https://example.com#L84-L85","name":"Lake.buildIndexTop'","line":84,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop'","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.buildIndexTop":{"sourceLink":"https://example.com#L91-L93","name":"Lake.buildIndexTop","line":91,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler and return the dynamic result.\n"},"Lake.buildImportsAndDeps":{"sourceLink":"https://example.com#L55-L70","name":"Lake.buildImportsAndDeps","line":55,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.buildImportsAndDeps","doc":"Builds the workspace-local modules of list of imports.\nUsed by `lake print-paths` to build modules for the Lean server.\nReturns the set of module dynlibs built (so they can be loaded by the server).\n\nBuilds only module `.olean` and `.ilean` files if the package is configured\nas \"Lean-only\". Otherwise, also builds `.c` files.\n"},"Lake.buildFileUnlessUpToDate":{"sourceLink":"https://example.com#L30-L34","name":"Lake.buildFileUnlessUpToDate","line":30,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileUnlessUpToDate","doc":""},"Lake.buildFileAfterDepList":{"sourceLink":"https://example.com#L44-L47","name":"Lake.buildFileAfterDepList","line":44,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepList","doc":""},"Lake.buildFileAfterDepArray":{"sourceLink":"https://example.com#L49-L52","name":"Lake.buildFileAfterDepArray","line":49,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepArray","doc":""},"Lake.buildFileAfterDep":{"sourceLink":"https://example.com#L36-L42","name":"Lake.buildFileAfterDep","line":36,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDep","doc":""},"Lake.buildDTop":{"sourceLink":"https://example.com#L127-L130","name":"Lake.buildDTop","line":127,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildDTop","doc":"Dependently typed version of `buildTop`. "},"Lake.buildAcyclic":{"sourceLink":"https://example.com#L122-L124","name":"Lake.buildAcyclic","line":122,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildAcyclic","doc":"Recursively builds objects for the keys `κ`, avoiding cycles. "},"Lake.binder":{"sourceLink":"https://example.com#L49-L49","name":"Lake.binder","line":49,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.binder","doc":""},"Lake.archiveSuffix":{"sourceLink":"https://example.com#L33-L34","name":"Lake.archiveSuffix","line":33,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.archiveSuffix","doc":"A `tar.gz` file name suffix encoding the the current Platform.\n(i.e, `osDescriptor` joined with `System.Platform.numBits`).\n"},"Lake.WorkspaceConfig.packagesDir":{"sourceLink":"https://example.com#L19-L19","name":"Lake.WorkspaceConfig.packagesDir","line":19,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.packagesDir","doc":"The directory to which Lake should download remote dependencies.\nDefaults to `defaultPackagesDir` (i.e., `lake-packages`).\n"},"Lake.WorkspaceConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.WorkspaceConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.mk","doc":""},"Lake.WorkspaceConfig":{"sourceLink":"https://example.com#L14-L20","name":"Lake.WorkspaceConfig","line":14,"kind":"structure","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig","doc":"A `Workspace`'s declarative configuration. "},"Lake.Workspace.sharedLibPath":{"sourceLink":"https://example.com#L147-L148","name":"Lake.Workspace.sharedLibPath","line":147,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.sharedLibPath","doc":"The workspace's shared library path (e.g., for `--load-dynlib`).\nThis is added to the `sharedLibPathEnvVar` by `lake env`.\n"},"Lake.Workspace.runBuild":{"sourceLink":"https://example.com#L95-L104","name":"Lake.Workspace.runBuild","line":95,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.runBuild","doc":"Run the given build function in the Workspace's context. "},"Lake.Workspace.root":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Workspace.root","line":19,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.root","doc":"The root package of the workspace. "},"Lake.Workspace.relPkgsDir":{"sourceLink":"https://example.com#L48-L49","name":"Lake.Workspace.relPkgsDir","line":48,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.relPkgsDir","doc":"The path to the workspace's remote packages directory relative to `dir`. "},"Lake.Workspace.processImportList":{"sourceLink":"https://example.com#L19-L25","name":"Lake.Workspace.processImportList","line":19,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.Workspace.processImportList","doc":"Construct an `Array` of `Module`s for the workspace-local modules of\na `List` of import strings.\n"},"Lake.Workspace.pkgsDir":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Workspace.pkgsDir","line":52,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.pkgsDir","doc":"The workspace's `dir` joined with its `relPkgsDir`. "},"Lake.Workspace.packageMap":{"sourceLink":"https://example.com#L23-L23","name":"Lake.Workspace.packageMap","line":23,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageMap","doc":"Name-package map of packages within the workspace. "},"Lake.Workspace.packageList":{"sourceLink":"https://example.com#L60-L61","name":"Lake.Workspace.packageList","line":60,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageList","doc":"The `List` of packages to the workspace. "},"Lake.Workspace.packageFacetConfigs":{"sourceLink":"https://example.com#L27-L27","name":"Lake.Workspace.packageFacetConfigs","line":27,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageFacetConfigs","doc":"Name-configuration map of package facets defined in the workspace. "},"Lake.Workspace.packageArray":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Workspace.packageArray","line":64,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageArray","doc":"The `Array` of packages to the workspace. "},"Lake.Workspace.moduleFacetConfigs":{"sourceLink":"https://example.com#L25-L25","name":"Lake.Workspace.moduleFacetConfigs","line":25,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.moduleFacetConfigs","doc":"Name-configuration map of module facets defined in the workspace. "},"Lake.Workspace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Workspace.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.mk","doc":""},"Lake.Workspace.manifestFile":{"sourceLink":"https://example.com#L56-L57","name":"Lake.Workspace.manifestFile","line":56,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.manifestFile","doc":"The workspace's Lake manifest. "},"Lake.Workspace.lockFile":{"sourceLink":"https://example.com#L91-L92","name":"Lake.Workspace.lockFile","line":91,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.lockFile","doc":"The workspace's build lock file. "},"Lake.Workspace.libraryFacetConfigs":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Workspace.libraryFacetConfigs","line":29,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.libraryFacetConfigs","doc":"Name-configuration map of library facets defined in the workspace. "},"Lake.Workspace.leanSrcPath":{"sourceLink":"https://example.com#L136-L141","name":"Lake.Workspace.leanSrcPath","line":136,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanSrcPath","doc":"The workspace's source directories (which are added to `LEAN_SRC_PATH`). "},"Lake.Workspace.leanPath":{"sourceLink":"https://example.com#L132-L133","name":"Lake.Workspace.leanPath","line":132,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanPath","doc":"The workspace's Lean library directories (which are added to `LEAN_PATH`). "},"Lake.Workspace.lakeEnv":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Workspace.lakeEnv","line":21,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.lakeEnv","doc":"The detect `Lake.Env` of the workspace. "},"Lake.Workspace.isLocalModule":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Workspace.isLocalModule","line":76,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isLocalModule","doc":"Check if the module is local to any package in the workspace. "},"Lake.Workspace.isBuildableModule":{"sourceLink":"https://example.com#L80-L81","name":"Lake.Workspace.isBuildableModule","line":80,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isBuildableModule","doc":"Check if the module is buildable by any package in the workspace. "},"Lake.Workspace.findTargetConfig?":{"sourceLink":"https://example.com#L100-L101","name":"Lake.Workspace.findTargetConfig?","line":100,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findTargetConfig?","doc":"Try to find a target configuration in the workspace with the given name. "},"Lake.Workspace.findPackageFacetConfig?":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Workspace.findPackageFacetConfig?","line":116,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackageFacetConfig?","doc":"Try to find a package facet configuration in the workspace with the given name. "},"Lake.Workspace.findPackage?":{"sourceLink":"https://example.com#L72-L73","name":"Lake.Workspace.findPackage?","line":72,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.Workspace.findModuleFacetConfig?":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Workspace.findModuleFacetConfig?","line":108,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModuleFacetConfig?","doc":"Try to find a module facet configuration in the workspace with the given name. "},"Lake.Workspace.findModule?":{"sourceLink":"https://example.com#L84-L85","name":"Lake.Workspace.findModule?","line":84,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.Workspace.findLibraryFacetConfig?":{"sourceLink":"https://example.com#L124-L125","name":"Lake.Workspace.findLibraryFacetConfig?","line":124,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLibraryFacetConfig?","doc":"Try to find a library facet configuration in the workspace with the given name. "},"Lake.Workspace.findLeanLib?":{"sourceLink":"https://example.com#L88-L89","name":"Lake.Workspace.findLeanLib?","line":88,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.Workspace.findLeanExe?":{"sourceLink":"https://example.com#L92-L93","name":"Lake.Workspace.findLeanExe?","line":92,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.Workspace.findExternLib?":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Workspace.findExternLib?","line":96,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.Workspace.dir":{"sourceLink":"https://example.com#L40-L41","name":"Lake.Workspace.dir","line":40,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.dir","doc":"The path to the workspace's directory (i.e., the directory of the root package). "},"Lake.Workspace.config":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Workspace.config","line":44,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.config","doc":"The workspace's configuration. "},"Lake.Workspace.clean":{"sourceLink":"https://example.com#L194-L195","name":"Lake.Workspace.clean","line":194,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.clean","doc":"Remove all packages' build outputs (i.e., delete their build directories). "},"Lake.Workspace.binPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Workspace.binPath","line":128,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.binPath","doc":"The workspace's binary directories (which are added to `Path`). "},"Lake.Workspace.augmentedSharedLibPath":{"sourceLink":"https://example.com#L175-L176","name":"Lake.Workspace.augmentedSharedLibPath","line":175,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedSharedLibPath","doc":""},"Lake.Workspace.augmentedPath":{"sourceLink":"https://example.com#L154-L155","name":"Lake.Workspace.augmentedPath","line":154,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedPath","doc":"The detected `PATH` of the environment augmented with\nthe workspace's `binDir` and Lean and Lake installations' `binDir`.\n"},"Lake.Workspace.augmentedLeanSrcPath":{"sourceLink":"https://example.com#L168-L169","name":"Lake.Workspace.augmentedLeanSrcPath","line":168,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanSrcPath","doc":"The detected `LEAN_SRC_PATH` of the environment augmented with\nthe workspace's `leanSrcPath` and Lake's `srcDir`.\n"},"Lake.Workspace.augmentedLeanPath":{"sourceLink":"https://example.com#L161-L162","name":"Lake.Workspace.augmentedLeanPath","line":161,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanPath","doc":"The detected `LEAN_PATH` of the environment augmented with\nthe workspace's `leanPath` and Lake's `libDir`.\n"},"Lake.Workspace.augmentedEnvVars":{"sourceLink":"https://example.com#L182-L191","name":"Lake.Workspace.augmentedEnvVars","line":182,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedEnvVars","doc":"The detected environment augmented with Lake's and the workspace's paths.\nThese are the settings use by `lake env` / `Lake.env` to run executables.\n"},"Lake.Workspace.addPackageFacetConfig":{"sourceLink":"https://example.com#L112-L113","name":"Lake.Workspace.addPackageFacetConfig","line":112,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackageFacetConfig","doc":"Add a package facet to the workspace. "},"Lake.Workspace.addPackage":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Workspace.addPackage","line":68,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackage","doc":"Add a package to the workspace. "},"Lake.Workspace.addModuleFacetConfig":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Workspace.addModuleFacetConfig","line":104,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addModuleFacetConfig","doc":"Add a module facet to the workspace. "},"Lake.Workspace.addLibraryFacetConfig":{"sourceLink":"https://example.com#L120-L121","name":"Lake.Workspace.addLibraryFacetConfig","line":120,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addLibraryFacetConfig","doc":"Add a library facet to the workspace. "},"Lake.Workspace":{"sourceLink":"https://example.com#L17-L29","name":"Lake.Workspace","line":17,"kind":"structure","docLink":"./Lake/Config/Workspace.html#Lake.Workspace","doc":"A Lake workspace -- the top-level package directory. "},"Lake.Verbosity.verbose":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Verbosity.verbose","line":19,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.verbose","doc":""},"Lake.Verbosity.quiet":{"sourceLink":"https://example.com#L17-L17","name":"Lake.Verbosity.quiet","line":17,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.quiet","doc":""},"Lake.Verbosity.normal":{"sourceLink":"https://example.com#L18-L18","name":"Lake.Verbosity.normal","line":18,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.normal","doc":""},"Lake.Verbosity":{"sourceLink":"https://example.com#L16-L20","name":"Lake.Verbosity","line":16,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.Verbosity","doc":""},"Lake.TypeSpec":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TypeSpec","line":28,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.TypeSpec","doc":""},"Lake.TextFilePath.path":{"sourceLink":"https://example.com#L138-L138","name":"Lake.TextFilePath.path","line":138,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.path","doc":""},"Lake.TextFilePath.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TextFilePath.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.mk","doc":""},"Lake.TextFilePath":{"sourceLink":"https://example.com#L137-L138","name":"Lake.TextFilePath","line":137,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath","doc":"A wrapper around `FilePath` that adjusts its `ComputeHash` implementation\nto normalize `\\r\\n` sequences to `\\n` for cross-platform compatibility. "},"Lake.TargetDecl.pkg":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TargetDecl.pkg","line":28,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.pkg","doc":""},"Lake.TargetDecl.name":{"sourceLink":"https://example.com#L29-L29","name":"Lake.TargetDecl.name","line":29,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.name","doc":""},"Lake.TargetDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TargetDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.mk","doc":""},"Lake.TargetDecl.fetchJob":{"sourceLink":"https://example.com#L31-L34","name":"Lake.TargetDecl.fetchJob","line":31,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetchJob","doc":"Fetch the build job of the target. "},"Lake.TargetDecl.fetch":{"sourceLink":"https://example.com#L24-L28","name":"Lake.TargetDecl.fetch","line":24,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetch","doc":"Fetch the build result of a target. "},"Lake.TargetDecl.config":{"sourceLink":"https://example.com#L30-L30","name":"Lake.TargetDecl.config","line":30,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.config","doc":""},"Lake.TargetDecl":{"sourceLink":"https://example.com#L27-L30","name":"Lake.TargetDecl","line":27,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.TargetData.leanLib.static":{"sourceLink":"https://example.com#L106-L106","name":"Lake.TargetData.leanLib.static","line":106,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.static","doc":""},"Lake.TargetData.leanLib.shared":{"sourceLink":"https://example.com#L110-L110","name":"Lake.TargetData.leanLib.shared","line":110,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.shared","doc":""},"Lake.TargetData.leanLib.modules":{"sourceLink":"https://example.com#L164-L164","name":"Lake.TargetData.leanLib.modules","line":164,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.TargetData.leanLib.modules","doc":""},"Lake.TargetData.leanLib.lean":{"sourceLink":"https://example.com#L102-L102","name":"Lake.TargetData.leanLib.lean","line":102,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.lean","doc":""},"Lake.TargetData.leanLib.extraDep":{"sourceLink":"https://example.com#L114-L114","name":"Lake.TargetData.leanLib.extraDep","line":114,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.extraDep","doc":""},"Lake.TargetData.leanExe":{"sourceLink":"https://example.com#L118-L118","name":"Lake.TargetData.leanExe","line":118,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanExe","doc":""},"Lake.TargetData.externLib.static":{"sourceLink":"https://example.com#L122-L122","name":"Lake.TargetData.externLib.static","line":122,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.static","doc":""},"Lake.TargetData.externLib.shared":{"sourceLink":"https://example.com#L126-L126","name":"Lake.TargetData.externLib.shared","line":126,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.shared","doc":""},"Lake.TargetData.externLib.dynlib":{"sourceLink":"https://example.com#L130-L130","name":"Lake.TargetData.externLib.dynlib","line":130,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.dynlib","doc":""},"Lake.TargetData":{"sourceLink":"https://example.com#L44-L44","name":"Lake.TargetData","line":44,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.TargetData","doc":"The open type family which maps a (builtin) Lake target's (e.g., `extern_lib`)\nfacet to its associated build data. For example, an active build target for\nthe `externLib.static` facet.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `target_data`).\n"},"Lake.TargetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.TargetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.mk","doc":""},"Lake.TargetConfig.getJob":{"sourceLink":"https://example.com#L16-L16","name":"Lake.TargetConfig.getJob","line":16,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.getJob","doc":"The target's resulting build job. "},"Lake.TargetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.TargetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.build","doc":"The target's build function. "},"Lake.TargetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.TargetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig","doc":"A custom target's declarative configuration. "},"Lake.Sync.sync":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Sync.sync","line":30,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Sync.sync","doc":"Run the monadic action as a synchronous task. "},"Lake.Sync.mk":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Sync.mk","line":28,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Sync.mk","doc":""},"Lake.Sync":{"sourceLink":"https://example.com#L28-L30","name":"Lake.Sync","line":28,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Sync","doc":""},"Lake.String.lt_irrefl":{"sourceLink":"https://example.com#L84-L85","name":"Lake.String.lt_irrefl","line":84,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.String.lt_irrefl","doc":""},"Lake.Source.path":{"sourceLink":"https://example.com#L20-L20","name":"Lake.Source.path","line":20,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.path","doc":""},"Lake.Source.git":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Source.git","line":21,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.git","doc":""},"Lake.Source":{"sourceLink":"https://example.com#L19-L22","name":"Lake.Source","line":19,"kind":"inductive","docLink":"./Lake/Config/Dependency.html#Lake.Source","doc":"The `src` of a `Dependency`.\n\nIn Lake, dependency sources currently come into flavors:\n* Local `path`s relative to the package's directory.\n* Remote `git` repositories that are download from a given `url`\n into the workspace's `packagesDir`.\n"},"Lake.SeqWithAsync.seqWithAsync":{"sourceLink":"https://example.com#L134-L134","name":"Lake.SeqWithAsync.seqWithAsync","line":134,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.seqWithAsync","doc":"Combine two (a)synchronous tasks using `f`. "},"Lake.SeqWithAsync.mk":{"sourceLink":"https://example.com#L132-L132","name":"Lake.SeqWithAsync.mk","line":132,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.mk","doc":""},"Lake.SeqWithAsync":{"sourceLink":"https://example.com#L132-L134","name":"Lake.SeqWithAsync","line":132,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync","doc":""},"Lake.SeqRightAsync.seqRightAsync":{"sourceLink":"https://example.com#L128-L128","name":"Lake.SeqRightAsync.seqRightAsync","line":128,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.seqRightAsync","doc":"Combine two (a)synchronous tasks, returning the result of the second one. "},"Lake.SeqRightAsync.mk":{"sourceLink":"https://example.com#L126-L126","name":"Lake.SeqRightAsync.mk","line":126,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.mk","doc":""},"Lake.SeqRightAsync":{"sourceLink":"https://example.com#L126-L128","name":"Lake.SeqRightAsync","line":126,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync","doc":""},"Lake.SeqLeftAsync.seqLeftAsync":{"sourceLink":"https://example.com#L122-L122","name":"Lake.SeqLeftAsync.seqLeftAsync","line":122,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.seqLeftAsync","doc":"Combine two (a)synchronous tasks, returning the result of the first one. "},"Lake.SeqLeftAsync.mk":{"sourceLink":"https://example.com#L120-L120","name":"Lake.SeqLeftAsync.mk","line":120,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.mk","doc":""},"Lake.SeqLeftAsync":{"sourceLink":"https://example.com#L120-L122","name":"Lake.SeqLeftAsync","line":120,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync","doc":""},"Lake.SeqAsync.seqAsync":{"sourceLink":"https://example.com#L116-L116","name":"Lake.SeqAsync.seqAsync","line":116,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.seqAsync","doc":"Combine two (a)synchronous tasks, applying the result of the second one ot the first one. "},"Lake.SeqAsync.mk":{"sourceLink":"https://example.com#L114-L114","name":"Lake.SeqAsync.mk","line":114,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.mk","doc":""},"Lake.SeqAsync":{"sourceLink":"https://example.com#L114-L116","name":"Lake.SeqAsync","line":114,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqAsync","doc":""},"Lake.ScriptM":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ScriptM","line":15,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptM","doc":"The type of a `Script`'s monad.\n`IO` equipped information about the Lake configuration.\n"},"Lake.ScriptFn":{"sourceLink":"https://example.com#L22-L22","name":"Lake.ScriptFn","line":22,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptFn","doc":"The type of a `Script`'s function.\nSimilar to the `main` function's signature, except that its monad is\nalso equipped with information about the Lake configuration.\n"},"Lake.Script.run":{"sourceLink":"https://example.com#L33-L34","name":"Lake.Script.run","line":33,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.run","doc":""},"Lake.Script.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Script.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Script.html#Lake.Script.mk","doc":""},"Lake.Script.fn":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Script.fn","line":29,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.fn","doc":""},"Lake.Script.doc?":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Script.doc?","line":30,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.doc?","doc":""},"Lake.Script":{"sourceLink":"https://example.com#L28-L31","name":"Lake.Script","line":28,"kind":"structure","docLink":"./Lake/Config/Script.html#Lake.Script","doc":"A package `Script` is a `ScriptFn` definition that is\nindexed by a `String` key and can be be run by `lake run [-- ]`.\n"},"Lake.SchedulerM":{"sourceLink":"https://example.com#L29-L29","name":"Lake.SchedulerM","line":29,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.SchedulerM","doc":"The monad for the Lake build manager. "},"Lake.ResultM":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ResultM","line":20,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.ResultM","doc":"The monad of a finished Lake job. "},"Lake.RecFetchFn":{"sourceLink":"https://example.com#L65-L66","name":"Lake.RecFetchFn","line":65,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.RecFetchFn","doc":"A `DRecFetchFn` that is not dependently typed. "},"Lake.RecBuildM.runIn":{"sourceLink":"https://example.com#L39-L41","name":"Lake.RecBuildM.runIn","line":39,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.runIn","doc":"Run the recursive build in the given build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM.run":{"sourceLink":"https://example.com#L47-L48","name":"Lake.RecBuildM.run","line":47,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.run","doc":"Run the recursive build in a fresh build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM":{"sourceLink":"https://example.com#L44-L44","name":"Lake.RecBuildM","line":44,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.RecBuildM","doc":"A recursive build of a Lake build store that may encounter a cycle. "},"Lake.RBNode.dFind":{"sourceLink":"https://example.com#L21-L28","name":"Lake.RBNode.dFind","line":21,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.RBNode.dFind","doc":""},"Lake.Prod.compareWith":{"sourceLink":"https://example.com#L111-L114","name":"Lake.Prod.compareWith","line":111,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Prod.compareWith","doc":""},"Lake.PackageSet.empty":{"sourceLink":"https://example.com#L224-L224","name":"Lake.PackageSet.empty","line":224,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet.empty","doc":""},"Lake.PackageSet":{"sourceLink":"https://example.com#L223-L223","name":"Lake.PackageSet","line":223,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet","doc":""},"Lake.PackageFacetDecl.fetch":{"sourceLink":"https://example.com#L37-L39","name":"Lake.PackageFacetDecl.fetch","line":37,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetDecl.fetch","doc":"Fetch the build result of a package facet. "},"Lake.PackageFacetDecl":{"sourceLink":"https://example.com#L62-L62","name":"Lake.PackageFacetDecl","line":62,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetDecl","doc":"A package facet declaration from a configuration file. "},"Lake.PackageFacetConfig.fetchJob":{"sourceLink":"https://example.com#L42-L46","name":"Lake.PackageFacetConfig.fetchJob","line":42,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetConfig.fetchJob","doc":"Fetch the build job of a package facet. "},"Lake.PackageFacetConfig":{"sourceLink":"https://example.com#L59-L59","name":"Lake.PackageFacetConfig","line":59,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetConfig","doc":"A package facet's declarative configuration. "},"Lake.PackageData.release":{"sourceLink":"https://example.com#L92-L92","name":"Lake.PackageData.release","line":92,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.release","doc":""},"Lake.PackageData.extraDep":{"sourceLink":"https://example.com#L96-L96","name":"Lake.PackageData.extraDep","line":96,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.extraDep","doc":""},"Lake.PackageData.deps":{"sourceLink":"https://example.com#L168-L168","name":"Lake.PackageData.deps","line":168,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.PackageData.deps","doc":""},"Lake.PackageData":{"sourceLink":"https://example.com#L34-L34","name":"Lake.PackageData","line":34,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.PackageData","doc":"The open type family which maps a package facet's name to its build data\nin the Lake build store. For example, a transitive dependencies of the package\nfor the facet `deps`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `package_data`).\n"},"Lake.PackageConfig.srcDir":{"sourceLink":"https://example.com#L114-L114","name":"Lake.PackageConfig.srcDir","line":114,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.srcDir","doc":"The directory containing the package's Lean source files.\nDefaults to the package's directory.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.PackageConfig.releaseRepo?":{"sourceLink":"https://example.com#L154-L154","name":"Lake.PackageConfig.releaseRepo?","line":154,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.releaseRepo?","doc":"The URL of the GitHub repository to upload and download releases of this package.\nIf `none` (the default), for downloads, Lake uses the URL the package was download\nfrom (if it is a dependency) and for uploads, uses `gh`'s default.\n"},"Lake.PackageConfig.preferReleaseBuild":{"sourceLink":"https://example.com#L166-L166","name":"Lake.PackageConfig.preferReleaseBuild","line":166,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.preferReleaseBuild","doc":"Whether to prefer downloading a prebuilt release (from GitHub) rather than\nbuilding this package from the source when this package is used as a dependency.\n"},"Lake.PackageConfig.precompileModules":{"sourceLink":"https://example.com#L100-L100","name":"Lake.PackageConfig.precompileModules","line":100,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.precompileModules","doc":"Whether to compile each of the package's module into a native shared library\nthat is loaded whenever the module is imported. This speeds up evaluation of\nmetaprograms and enables the interpreter to run functions marked `@[extern]`.\n\nDefaults to `false`.\n"},"Lake.PackageConfig.nativeLibDir":{"sourceLink":"https://example.com#L134-L134","name":"Lake.PackageConfig.nativeLibDir","line":134,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.nativeLibDir","doc":"The build subdirectory to which Lake should output the package's\nnative libraries (e.g., `.a`, `.so`, `.dll` files).\nDefaults to `defaultNativeLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.name":{"sourceLink":"https://example.com#L80-L80","name":"Lake.PackageConfig.name","line":80,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.name","doc":"The `Name` of the package. "},"Lake.PackageConfig.moreServerArgs":{"sourceLink":"https://example.com#L106-L106","name":"Lake.PackageConfig.moreServerArgs","line":106,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.moreServerArgs","doc":"Additional arguments to pass to the Lean language server\n(i.e., `lean --server`) launched by `lake server`.\n"},"Lake.PackageConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.PackageConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.mk","doc":""},"Lake.PackageConfig.manifestFile":{"sourceLink":"https://example.com#L88-L88","name":"Lake.PackageConfig.manifestFile","line":88,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.manifestFile","doc":"The path of a package's manifest file, which stores the exact versions\nof its resolved dependencies.\n\nDefaults to `defaultManifestFile` (i.e., `lake-manifest.json`).\n"},"Lake.PackageConfig.leanLibDir":{"sourceLink":"https://example.com#L127-L127","name":"Lake.PackageConfig.leanLibDir","line":127,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.leanLibDir","doc":"The build subdirectory to which Lake should output the package's\nbinary Lean libraries (e.g., `.olean`, `.ilean` files).\nDefaults to `defaultLeanLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.irDir":{"sourceLink":"https://example.com#L147-L147","name":"Lake.PackageConfig.irDir","line":147,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.irDir","doc":"The build subdirectory to which Lake should output\nthe package's intermediary results (e.g., `.c` and `.o` files).\nDefaults to `defaultIrDir` (i.e., `ir`).\n"},"Lake.PackageConfig.extraDepTargets":{"sourceLink":"https://example.com#L91-L91","name":"Lake.PackageConfig.extraDepTargets","line":91,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.extraDepTargets","doc":"An `Array` of target names to build whenever the package is used. "},"Lake.PackageConfig.buildDir":{"sourceLink":"https://example.com#L120-L120","name":"Lake.PackageConfig.buildDir","line":120,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildDir","doc":"The directory to which Lake should output the package's build results.\nDefaults to `defaultBuildDir` (i.e., `build`).\n"},"Lake.PackageConfig.buildArchive?":{"sourceLink":"https://example.com#L160-L160","name":"Lake.PackageConfig.buildArchive?","line":160,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildArchive?","doc":"The name of the build archive on GitHub. Defaults to `none`.\nThe archive's full file name will be `nameToArchive buildArchive?`.\n"},"Lake.PackageConfig.binDir":{"sourceLink":"https://example.com#L140-L140","name":"Lake.PackageConfig.binDir","line":140,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.binDir","doc":"The build subdirectory to which Lake should output the package's binary executable.\nDefaults to `defaultBinDir` (i.e., `bin`).\n"},"Lake.PackageConfig":{"sourceLink":"https://example.com#L77-L168","name":"Lake.PackageConfig","line":77,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.PackageConfig","doc":"A `Package`'s declarative configuration. "},"Lake.Package.weakLeanArgs":{"sourceLink":"https://example.com#L320-L321","name":"Lake.Package.weakLeanArgs","line":320,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.weakLeanArgs","doc":"The package's `weakLeanArgs` configuration. "},"Lake.Package.targetBuildKey":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Package.targetBuildKey","line":44,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.targetBuildKey","doc":""},"Lake.Package.target":{"sourceLink":"https://example.com#L232-L233","name":"Lake.Package.target","line":232,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.target","doc":"Build info for a custom package target. "},"Lake.Package.srcDir":{"sourceLink":"https://example.com#L332-L333","name":"Lake.Package.srcDir","line":332,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.srcDir","doc":"The package's `dir` joined with its `srcDir` configuration. "},"Lake.Package.scripts":{"sourceLink":"https://example.com#L207-L207","name":"Lake.Package.scripts","line":207,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.scripts","doc":"Scripts for the package. "},"Lake.Package.rootDir":{"sourceLink":"https://example.com#L336-L337","name":"Lake.Package.rootDir","line":336,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.rootDir","doc":"The package's root directory for `lean` (i.e., `srcDir`). "},"Lake.Package.remoteUrl?":{"sourceLink":"https://example.com#L188-L188","name":"Lake.Package.remoteUrl?","line":188,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.remoteUrl?","doc":"The URL to this package's Git remote. "},"Lake.Package.releaseRepo?":{"sourceLink":"https://example.com#L275-L276","name":"Lake.Package.releaseRepo?","line":275,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.releaseRepo?","doc":"The package's `releaseRepo?` configuration. "},"Lake.Package.releaseFacetConfig":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Package.releaseFacetConfig","line":73,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.releaseFacetConfig","doc":"The `PackageFacetConfig` for the builtin `releaseFacet`. "},"Lake.Package.releaseFacet":{"sourceLink":"https://example.com#L91-L91","name":"Lake.Package.releaseFacet","line":91,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.releaseFacet","doc":"A package's cloud build release. "},"Lake.Package.release?":{"sourceLink":"https://example.com#L282-L285","name":"Lake.Package.release?","line":282,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.release?","doc":"The package's URL × tag release.\nTries `releaseRepo?` first and then falls back to `remoteUrl?`.\n"},"Lake.Package.release":{"sourceLink":"https://example.com#L224-L225","name":"Lake.Package.release","line":224,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.release","doc":"A package's cloud build release. "},"Lake.Package.relPkgsDir":{"sourceLink":"https://example.com#L255-L256","name":"Lake.Package.relPkgsDir","line":255,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.relPkgsDir","doc":"The path for storing the package's remote dependencies relative to `dir`.\nEither its `packagesDir` configuration or `defaultPackagesDir`.\n"},"Lake.Package.recComputeDeps":{"sourceLink":"https://example.com#L18-L29","name":"Lake.Package.recComputeDeps","line":18,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recComputeDeps","doc":"Compute a topological ordering of the package's transitive dependencies. "},"Lake.Package.recBuildExtraDepTargets":{"sourceLink":"https://example.com#L39-L50","name":"Lake.Package.recBuildExtraDepTargets","line":39,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recBuildExtraDepTargets","doc":"Build the `extraDepTargets` for the package and its transitive dependencies.\nAlso fetch pre-built releases for the package's' dependencies.\n"},"Lake.Package.preferReleaseBuild":{"sourceLink":"https://example.com#L300-L301","name":"Lake.Package.preferReleaseBuild","line":300,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.preferReleaseBuild","doc":"The package's `preferReleaseBuild` configuration. "},"Lake.Package.precompileModules":{"sourceLink":"https://example.com#L304-L305","name":"Lake.Package.precompileModules","line":304,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.precompileModules","doc":"The package's `precompileModules` configuration. "},"Lake.Package.pkgsDir":{"sourceLink":"https://example.com#L259-L260","name":"Lake.Package.pkgsDir","line":259,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.pkgsDir","doc":"The package's `dir` joined with its `relPkgsDir` "},"Lake.Package.opaqueTargetConfigs":{"sourceLink":"https://example.com#L200-L200","name":"Lake.Package.opaqueTargetConfigs","line":200,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueTargetConfigs","doc":"(Opaque references to) targets defined in the package. "},"Lake.Package.opaqueDeps":{"sourceLink":"https://example.com#L192-L192","name":"Lake.Package.opaqueDeps","line":192,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueDeps","doc":"(Opaque references to) the package's direct dependencies. "},"Lake.Package.nativeLibDir":{"sourceLink":"https://example.com#L344-L345","name":"Lake.Package.nativeLibDir","line":344,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.nativeLibDir","doc":"The package's `buildDir` joined with its `nativeLibDir` configuration. "},"Lake.Package.name":{"sourceLink":"https://example.com#L230-L231","name":"Lake.Package.name","line":230,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.name","doc":"The package's name. "},"Lake.Package.moreServerArgs":{"sourceLink":"https://example.com#L308-L309","name":"Lake.Package.moreServerArgs","line":308,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreServerArgs","doc":"The package's `moreServerArgs` configuration. "},"Lake.Package.moreLinkArgs":{"sourceLink":"https://example.com#L328-L329","name":"Lake.Package.moreLinkArgs","line":328,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLinkArgs","doc":"The package's `moreLinkArgs` configuration. "},"Lake.Package.moreLeancArgs":{"sourceLink":"https://example.com#L324-L325","name":"Lake.Package.moreLeancArgs","line":324,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeancArgs","doc":"The package's `moreLeancArgs` configuration. "},"Lake.Package.moreLeanArgs":{"sourceLink":"https://example.com#L316-L317","name":"Lake.Package.moreLeanArgs","line":316,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeanArgs","doc":"The package's `moreLeanArgs` configuration. "},"Lake.Package.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Package.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.Package.mk","doc":""},"Lake.Package.manifestFile":{"sourceLink":"https://example.com#L263-L264","name":"Lake.Package.manifestFile","line":263,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.manifestFile","doc":"The package's JSON manifest of remote dependencies. "},"Lake.Package.leanOpts":{"sourceLink":"https://example.com#L186-L186","name":"Lake.Package.leanOpts","line":186,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanOpts","doc":"The Lean `Options` the package configuration was elaborated with. "},"Lake.Package.leanLibs":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanLibs","line":19,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.leanLibs","doc":"The Lean libraries of the package (as an Array). "},"Lake.Package.leanLibDir":{"sourceLink":"https://example.com#L340-L341","name":"Lake.Package.leanLibDir","line":340,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibDir","doc":"The package's `buildDir` joined with its `leanLibDir` configuration. "},"Lake.Package.leanLibConfigs":{"sourceLink":"https://example.com#L194-L194","name":"Lake.Package.leanLibConfigs","line":194,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibConfigs","doc":"Lean library configurations for the package. "},"Lake.Package.leanExes":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanExes","line":19,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.leanExes","doc":"The Lean executables of the package (as an Array). "},"Lake.Package.leanExeConfigs":{"sourceLink":"https://example.com#L196-L196","name":"Lake.Package.leanExeConfigs","line":196,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanExeConfigs","doc":"Lean binary executable configurations for the package. "},"Lake.Package.isLocalModule":{"sourceLink":"https://example.com#L356-L357","name":"Lake.Package.isLocalModule","line":356,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isLocalModule","doc":"Whether the given module is considered local to the package. "},"Lake.Package.isBuildableModule":{"sourceLink":"https://example.com#L360-L362","name":"Lake.Package.isBuildableModule","line":360,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isBuildableModule","doc":"Whether the given module is in the package (i.e., can build it). "},"Lake.Package.irDir":{"sourceLink":"https://example.com#L352-L353","name":"Lake.Package.irDir","line":352,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.irDir","doc":"The package's `buildDir` joined with its `irDir` configuration. "},"Lake.Package.gitTag?":{"sourceLink":"https://example.com#L190-L190","name":"Lake.Package.gitTag?","line":190,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.gitTag?","doc":"The Git tag of this package. "},"Lake.Package.findTargetConfig?":{"sourceLink":"https://example.com#L35-L36","name":"Lake.Package.findTargetConfig?","line":35,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.Package.findTargetConfig?","doc":"Try to find a target configuration in the package with the given name . "},"Lake.Package.findModule?":{"sourceLink":"https://example.com#L85-L87","name":"Lake.Package.findModule?","line":85,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findModule?","doc":"Locate the named module in the package (if it is buildable and local to it). "},"Lake.Package.findLeanLib?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanLib?","line":23,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.findLeanLib?","doc":"Try to find a Lean library in the package with the given name. "},"Lake.Package.findLeanExe?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanExe?","line":23,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findLeanExe?","doc":"Try to find a Lean executable in the package with the given name. "},"Lake.Package.findExternLib?":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Package.findExternLib?","line":24,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.findExternLib?","doc":"Try to find a external library in the package with the given name. "},"Lake.Package.fetchTargetJob":{"sourceLink":"https://example.com#L17-L21","name":"Lake.Package.fetchTargetJob","line":17,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchTargetJob","doc":"Fetch the build job of the specified package target. "},"Lake.Package.fetchRelease":{"sourceLink":"https://example.com#L57-L70","name":"Lake.Package.fetchRelease","line":57,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.fetchRelease","doc":"Download and unpack the package's prebuilt release archive (from GitHub). "},"Lake.Package.fetchFacetJob":{"sourceLink":"https://example.com#L49-L53","name":"Lake.Package.fetchFacetJob","line":49,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.Package.facetBuildKey":{"sourceLink":"https://example.com#L41-L42","name":"Lake.Package.facetBuildKey","line":41,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facetBuildKey","doc":""},"Lake.Package.facet":{"sourceLink":"https://example.com#L220-L221","name":"Lake.Package.facet","line":220,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facet","doc":"Build info for the package's specified facet. "},"Lake.Package.extraDepTargets":{"sourceLink":"https://example.com#L271-L272","name":"Lake.Package.extraDepTargets","line":271,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.extraDepTargets","doc":"The package's `extraDepTargets` configuration. "},"Lake.Package.extraDepFacetConfig":{"sourceLink":"https://example.com#L53-L54","name":"Lake.Package.extraDepFacetConfig","line":53,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.extraDepFacetConfig","doc":"The `PackageFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Package.extraDepFacet":{"sourceLink":"https://example.com#L95-L95","name":"Lake.Package.extraDepFacet","line":95,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.extraDepFacet","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.extraDep":{"sourceLink":"https://example.com#L228-L229","name":"Lake.Package.extraDep","line":228,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.extraDep","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.externLibs":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Package.externLibs","line":20,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.externLibs","doc":"The external libraries of the package (as an Array). "},"Lake.Package.externLibConfigs":{"sourceLink":"https://example.com#L198-L198","name":"Lake.Package.externLibConfigs","line":198,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.externLibConfigs","doc":"External library targets for the package. "},"Lake.Package.dir":{"sourceLink":"https://example.com#L180-L180","name":"Lake.Package.dir","line":180,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.dir","doc":"The path to the package's directory. "},"Lake.Package.depsFacetConfig":{"sourceLink":"https://example.com#L32-L33","name":"Lake.Package.depsFacetConfig","line":32,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.depsFacetConfig","doc":"The `PackageFacetConfig` for the builtin `depsFacet`. "},"Lake.Package.depsFacet":{"sourceLink":"https://example.com#L167-L167","name":"Lake.Package.depsFacet","line":167,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.depsFacet","doc":"The package's complete array of transitive dependencies. "},"Lake.Package.deps":{"sourceLink":"https://example.com#L248-L249","name":"Lake.Package.deps","line":248,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.deps","doc":"The package's direct dependencies. "},"Lake.Package.defaultTargets":{"sourceLink":"https://example.com#L205-L205","name":"Lake.Package.defaultTargets","line":205,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultTargets","doc":"The names of the package's targets to build by default\n(i.e., on a bare `lake build` of the package).\n"},"Lake.Package.defaultScripts":{"sourceLink":"https://example.com#L212-L212","name":"Lake.Package.defaultScripts","line":212,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultScripts","doc":"The names of the package's scripts run by default\n(i.e., on a bare `lake run` of the package).\n"},"Lake.Package.configEnv":{"sourceLink":"https://example.com#L184-L184","name":"Lake.Package.configEnv","line":184,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.configEnv","doc":"The elaboration environment of the package's configuration file. "},"Lake.Package.config":{"sourceLink":"https://example.com#L182-L182","name":"Lake.Package.config","line":182,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.config","doc":"The package's user-defined configuration. "},"Lake.Package.clean":{"sourceLink":"https://example.com#L365-L367","name":"Lake.Package.clean","line":365,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.clean","doc":"Remove the package's build outputs (i.e., delete its build directory). "},"Lake.Package.buildType":{"sourceLink":"https://example.com#L312-L313","name":"Lake.Package.buildType","line":312,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildType","doc":"The package's `buildType` configuration. "},"Lake.Package.buildDir":{"sourceLink":"https://example.com#L267-L268","name":"Lake.Package.buildDir","line":267,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildDir","doc":"The package's `dir` joined with its `buildDir` configuration. "},"Lake.Package.buildArchiveFile":{"sourceLink":"https://example.com#L296-L297","name":"Lake.Package.buildArchiveFile","line":296,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchiveFile","doc":"The package's `buildDir` joined with its `buildArchive` configuration. "},"Lake.Package.buildArchive?":{"sourceLink":"https://example.com#L288-L289","name":"Lake.Package.buildArchive?","line":288,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive?","doc":"The package's `buildArchive?` configuration. "},"Lake.Package.buildArchive":{"sourceLink":"https://example.com#L292-L293","name":"Lake.Package.buildArchive","line":292,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive","doc":"The file name of the package's build archive derived from `buildArchive?`. "},"Lake.Package.binDir":{"sourceLink":"https://example.com#L348-L349","name":"Lake.Package.binDir","line":348,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.binDir","doc":"The package's `buildDir` joined with its `binDir` configuration. "},"Lake.Package":{"sourceLink":"https://example.com#L178-L212","name":"Lake.Package","line":178,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.Package","doc":"A Lake package -- its location plus its configuration. "},"Lake.OrderedTagAttribute.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.OrderedTagAttribute.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.mk","doc":""},"Lake.OrderedTagAttribute.hasTag":{"sourceLink":"https://example.com#L42-L45","name":"Lake.OrderedTagAttribute.hasTag","line":42,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.hasTag","doc":""},"Lake.OrderedTagAttribute.ext":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrderedTagAttribute.ext","line":13,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.ext","doc":""},"Lake.OrderedTagAttribute.attr":{"sourceLink":"https://example.com#L12-L12","name":"Lake.OrderedTagAttribute.attr","line":12,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.attr","doc":""},"Lake.OrderedTagAttribute":{"sourceLink":"https://example.com#L11-L14","name":"Lake.OrderedTagAttribute","line":11,"kind":"structure","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute","doc":""},"Lake.OrdPackageSet.empty":{"sourceLink":"https://example.com#L227-L227","name":"Lake.OrdPackageSet.empty","line":227,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet.empty","doc":""},"Lake.OrdPackageSet":{"sourceLink":"https://example.com#L226-L226","name":"Lake.OrdPackageSet","line":226,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet","doc":""},"Lake.OrdModuleSet.empty":{"sourceLink":"https://example.com#L30-L30","name":"Lake.OrdModuleSet.empty","line":30,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet.empty","doc":""},"Lake.OrdModuleSet":{"sourceLink":"https://example.com#L29-L29","name":"Lake.OrdModuleSet","line":29,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet","doc":""},"Lake.OrdHashSet.toHashSet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OrdHashSet.toHashSet","line":14,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toHashSet","doc":""},"Lake.OrdHashSet.toArray":{"sourceLink":"https://example.com#L15-L15","name":"Lake.OrdHashSet.toArray","line":15,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toArray","doc":""},"Lake.OrdHashSet.ofArray":{"sourceLink":"https://example.com#L43-L44","name":"Lake.OrdHashSet.ofArray","line":43,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.ofArray","doc":""},"Lake.OrdHashSet.mkEmpty":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OrdHashSet.mkEmpty","line":24,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mkEmpty","doc":""},"Lake.OrdHashSet.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrdHashSet.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mk","doc":""},"Lake.OrdHashSet.instHAppendOrdHashSetArray":{"sourceLink":"https://example.com#L36-L36","name":"Lake.OrdHashSet.instHAppendOrdHashSetArray","line":36,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instHAppendOrdHashSetArray","doc":""},"Lake.OrdHashSet.instAppendOrdHashSet":{"sourceLink":"https://example.com#L41-L41","name":"Lake.OrdHashSet.instAppendOrdHashSet","line":41,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instAppendOrdHashSet","doc":""},"Lake.OrdHashSet.insert":{"sourceLink":"https://example.com#L27-L31","name":"Lake.OrdHashSet.insert","line":27,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.insert","doc":""},"Lake.OrdHashSet.foldrM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.OrdHashSet.foldrM","line":55,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldrM","doc":""},"Lake.OrdHashSet.foldr":{"sourceLink":"https://example.com#L52-L53","name":"Lake.OrdHashSet.foldr","line":52,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldr","doc":""},"Lake.OrdHashSet.foldlM":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OrdHashSet.foldlM","line":49,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldlM","doc":""},"Lake.OrdHashSet.foldl":{"sourceLink":"https://example.com#L46-L47","name":"Lake.OrdHashSet.foldl","line":46,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldl","doc":""},"Lake.OrdHashSet.empty":{"sourceLink":"https://example.com#L21-L22","name":"Lake.OrdHashSet.empty","line":21,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.empty","doc":""},"Lake.OrdHashSet.appendArray":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OrdHashSet.appendArray","line":33,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.appendArray","doc":""},"Lake.OrdHashSet.append":{"sourceLink":"https://example.com#L38-L39","name":"Lake.OrdHashSet.append","line":38,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.append","doc":""},"Lake.OrdHashSet":{"sourceLink":"https://example.com#L13-L15","name":"Lake.OrdHashSet","line":13,"kind":"structure","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet","doc":"A `HashSet` that preserves insertion order. "},"Lake.OptionTask":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OptionTask","line":14,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionTask","doc":""},"Lake.OptionIOTask":{"sourceLink":"https://example.com#L20-L20","name":"Lake.OptionIOTask","line":20,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionIOTask","doc":""},"Lake.OptionIO.toIO":{"sourceLink":"https://example.com#L27-L28","name":"Lake.OptionIO.toIO","line":27,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toIO","doc":""},"Lake.OptionIO.toEIO":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OptionIO.toEIO","line":24,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toEIO","doc":""},"Lake.OptionIO.toBaseIO":{"sourceLink":"https://example.com#L19-L22","name":"Lake.OptionIO.toBaseIO","line":19,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toBaseIO","doc":""},"Lake.OptionIO.orElse":{"sourceLink":"https://example.com#L36-L37","name":"Lake.OptionIO.orElse","line":36,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.orElse","doc":""},"Lake.OptionIO.mk":{"sourceLink":"https://example.com#L16-L17","name":"Lake.OptionIO.mk","line":16,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.mk","doc":""},"Lake.OptionIO.instAlternativeOptionIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.OptionIO.instAlternativeOptionIO","line":39,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.instAlternativeOptionIO","doc":""},"Lake.OptionIO.failure":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OptionIO.failure","line":33,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.failure","doc":""},"Lake.OptionIO.catchFailure":{"sourceLink":"https://example.com#L30-L31","name":"Lake.OptionIO.catchFailure","line":30,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.catchFailure","doc":""},"Lake.OptionIO.asTask":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OptionIO.asTask","line":49,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.asTask","doc":""},"Lake.OptionIO.OptionIO.finally":{"sourceLink":"https://example.com#L43-L47","name":"Lake.OptionIO.OptionIO.finally","line":43,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.OptionIO.finally","doc":""},"Lake.OptionIO":{"sourceLink":"https://example.com#L9-L9","name":"Lake.OptionIO","line":9,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO","doc":"Conceptually identical to `OptionT BaseIO`, but practically more efficient. "},"Lake.Option.compareWith":{"sourceLink":"https://example.com#L92-L96","name":"Lake.Option.compareWith","line":92,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Option.compareWith","doc":""},"Lake.OpaqueWorkspace.unsafeMk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeMk","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeMk","doc":""},"Lake.OpaqueWorkspace.unsafeGet":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeGet","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeGet","doc":""},"Lake.OpaqueWorkspace.nonemptyType":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace.nonemptyType","line":14,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace.nonemptyType","doc":""},"Lake.OpaqueWorkspace.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.mk","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.mk","doc":""},"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","doc":""},"Lake.OpaqueWorkspace.get_mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get_mk","line":35,"kind":"axiom","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get_mk","doc":""},"Lake.OpaqueWorkspace.get":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get","doc":""},"Lake.OpaqueWorkspace":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace","line":14,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace","doc":"Opaque reference to a `Workspace` used for forward declaration. "},"Lake.OpaqueTargetConfig.unsafeMk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeMk","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeMk","doc":""},"Lake.OpaqueTargetConfig.unsafeGet":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeGet","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeGet","doc":""},"Lake.OpaqueTargetConfig.nonemptyType":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig.nonemptyType","line":17,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig.nonemptyType","doc":""},"Lake.OpaqueTargetConfig.mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.mk","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.mk","doc":""},"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","doc":""},"Lake.OpaqueTargetConfig.get_mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get_mk","line":32,"kind":"axiom","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get_mk","doc":""},"Lake.OpaqueTargetConfig.get":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get","doc":""},"Lake.OpaqueTargetConfig":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig","line":17,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig","doc":"Opaque reference to a `TargetConfig` used for forward declaration. "},"Lake.OpaquePackage.unsafeMk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeMk","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeMk","doc":""},"Lake.OpaquePackage.unsafeGet":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeGet","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeGet","doc":""},"Lake.OpaquePackage.nonemptyType":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage.nonemptyType","line":11,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage.nonemptyType","doc":""},"Lake.OpaquePackage.mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.mk","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.mk","doc":""},"Lake.OpaquePackage.instInhabitedOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instInhabitedOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instInhabitedOpaquePackage","doc":""},"Lake.OpaquePackage.instCoePackageOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoePackageOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoePackageOpaquePackage","doc":""},"Lake.OpaquePackage.instCoeOpaquePackagePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoeOpaquePackagePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoeOpaquePackagePackage","doc":""},"Lake.OpaquePackage.get_mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get_mk","line":218,"kind":"axiom","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get_mk","doc":""},"Lake.OpaquePackage.get":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get","doc":""},"Lake.OpaquePackage":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage","line":11,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage","doc":"Opaque reference to a `Package` used for forward declaration. "},"Lake.NilTrace.nilTrace":{"sourceLink":"https://example.com#L36-L36","name":"Lake.NilTrace.nilTrace","line":36,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.nilTrace","doc":"The nil trace. Should not unduly clash with a proper trace. "},"Lake.NilTrace.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.NilTrace.mk","line":34,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.mk","doc":""},"Lake.NilTrace":{"sourceLink":"https://example.com#L34-L36","name":"Lake.NilTrace","line":34,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.NilTrace","doc":""},"Lake.NamedConfigDecl.name":{"sourceLink":"https://example.com#L49-L49","name":"Lake.NamedConfigDecl.name","line":49,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.name","doc":""},"Lake.NamedConfigDecl.mk":{"sourceLink":"https://example.com#L48-L48","name":"Lake.NamedConfigDecl.mk","line":48,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.mk","doc":""},"Lake.NamedConfigDecl.config":{"sourceLink":"https://example.com#L50-L50","name":"Lake.NamedConfigDecl.config","line":50,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.config","doc":""},"Lake.NamedConfigDecl":{"sourceLink":"https://example.com#L48-L50","name":"Lake.NamedConfigDecl","line":48,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl","doc":"A dependently typed configuration based on its registered name. "},"Lake.NamedArgument":{"sourceLink":"https://example.com#L14-L14","name":"Lake.NamedArgument","line":14,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.NamedArgument","doc":""},"Lake.NameMap.empty":{"sourceLink":"https://example.com#L15-L15","name":"Lake.NameMap.empty","line":15,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.NameMap.empty","doc":""},"Lake.Name.quoteFrom":{"sourceLink":"https://example.com#L69-L72","name":"Lake.Name.quoteFrom","line":69,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.Name.quoteFrom","doc":""},"Lake.Name.quickCmp_rfl":{"sourceLink":"https://example.com#L59-L61","name":"Lake.Name.quickCmp_rfl","line":59,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmp_rfl","doc":""},"Lake.Name.quickCmpAux_iff_eq":{"sourceLink":"https://example.com#L37-L47","name":"Lake.Name.quickCmpAux_iff_eq","line":37,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmpAux_iff_eq","doc":""},"Lake.Name.isPrefixOf_self":{"sourceLink":"https://example.com#L28-L29","name":"Lake.Name.isPrefixOf_self","line":28,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_self","doc":""},"Lake.Name.isPrefixOf_append":{"sourceLink":"https://example.com#L31-L35","name":"Lake.Name.isPrefixOf_append","line":31,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_append","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmpAux":{"sourceLink":"https://example.com#L49-L51","name":"Lake.Name.instLawfulCmpEqNameQuickCmpAux","line":49,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmpAux","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmp":{"sourceLink":"https://example.com#L63-L65","name":"Lake.Name.instLawfulCmpEqNameQuickCmp","line":63,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmp","doc":""},"Lake.Name.eq_of_quickCmp":{"sourceLink":"https://example.com#L53-L57","name":"Lake.Name.eq_of_quickCmp","line":53,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.eq_of_quickCmp","doc":""},"Lake.Name.beq_false":{"sourceLink":"https://example.com#L25-L26","name":"Lake.Name.beq_false","line":25,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.beq_false","doc":""},"Lake.NPackage.name_eq":{"sourceLink":"https://example.com#L235-L235","name":"Lake.NPackage.name_eq","line":235,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name_eq","doc":""},"Lake.NPackage.name":{"sourceLink":"https://example.com#L243-L243","name":"Lake.NPackage.name","line":243,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name","doc":"The package's name. "},"Lake.NPackage.mk":{"sourceLink":"https://example.com#L234-L234","name":"Lake.NPackage.mk","line":234,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.NPackage.mk","doc":""},"Lake.NPackage":{"sourceLink":"https://example.com#L234-L235","name":"Lake.NPackage","line":234,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.NPackage","doc":"A package with a name known at type-level. "},"Lake.MonadWorkspace":{"sourceLink":"https://example.com#L23-L24","name":"Lake.MonadWorkspace","line":23,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadWorkspace","doc":"A monad equipped with a (read-only) Lake `Workspace`. "},"Lake.MonadStore1.store":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadStore1.store","line":11,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.store","doc":""},"Lake.MonadStore1.mk":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadStore1.mk","line":9,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.mk","doc":""},"Lake.MonadStore1.fetch?":{"sourceLink":"https://example.com#L10-L10","name":"Lake.MonadStore1.fetch?","line":10,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.fetch?","doc":""},"Lake.MonadStore1":{"sourceLink":"https://example.com#L9-L11","name":"Lake.MonadStore1","line":9,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadStore1","doc":"A monad equipped with a dependently typed key-value store for a particular key. "},"Lake.MonadStore":{"sourceLink":"https://example.com#L25-L25","name":"Lake.MonadStore","line":25,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore","doc":"A monad equipped with a key-object store. "},"Lake.MonadLogT.ignoreLog":{"sourceLink":"https://example.com#L99-L100","name":"Lake.MonadLogT.ignoreLog","line":99,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.ignoreLog","doc":""},"Lake.MonadLogT.adaptMethods":{"sourceLink":"https://example.com#L95-L97","name":"Lake.MonadLogT.adaptMethods","line":95,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.adaptMethods","doc":""},"Lake.MonadLogT":{"sourceLink":"https://example.com#L85-L86","name":"Lake.MonadLogT","line":85,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT","doc":""},"Lake.MonadLog.nop":{"sourceLink":"https://example.com#L52-L53","name":"Lake.MonadLog.nop","line":52,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.nop","doc":""},"Lake.MonadLog.mk":{"sourceLink":"https://example.com#L26-L26","name":"Lake.MonadLog.mk","line":26,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.MonadLog.mk","doc":""},"Lake.MonadLog.log":{"sourceLink":"https://example.com#L28-L28","name":"Lake.MonadLog.log","line":28,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.log","doc":""},"Lake.MonadLog.lift":{"sourceLink":"https://example.com#L71-L73","name":"Lake.MonadLog.lift","line":71,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.lift","doc":""},"Lake.MonadLog.io":{"sourceLink":"https://example.com#L57-L62","name":"Lake.MonadLog.io","line":57,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.io","doc":""},"Lake.MonadLog.instMonadLog":{"sourceLink":"https://example.com#L75-L75","name":"Lake.MonadLog.instMonadLog","line":75,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instMonadLog","doc":""},"Lake.MonadLog.instInhabitedMonadLog":{"sourceLink":"https://example.com#L55-L55","name":"Lake.MonadLog.instInhabitedMonadLog","line":55,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instInhabitedMonadLog","doc":""},"Lake.MonadLog.getVerbosity":{"sourceLink":"https://example.com#L27-L27","name":"Lake.MonadLog.getVerbosity","line":27,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.getVerbosity","doc":""},"Lake.MonadLog.error":{"sourceLink":"https://example.com#L78-L79","name":"Lake.MonadLog.error","line":78,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.error","doc":"Log the given error message and then fail. "},"Lake.MonadLog.eio":{"sourceLink":"https://example.com#L64-L69","name":"Lake.MonadLog.eio","line":64,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.eio","doc":""},"Lake.MonadLog":{"sourceLink":"https://example.com#L26-L28","name":"Lake.MonadLog","line":26,"kind":"class","docLink":"./Lake/Util/Log.html#Lake.MonadLog","doc":""},"Lake.MonadLakeEnv":{"sourceLink":"https://example.com#L19-L20","name":"Lake.MonadLakeEnv","line":19,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLakeEnv","doc":"A monad equipped with a (read-only) detected environment for Lake. "},"Lake.MonadLake":{"sourceLink":"https://example.com#L27-L28","name":"Lake.MonadLake","line":27,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLake","doc":"A monad equipped with a (read-only) Lake context. "},"Lake.MonadExit.mk":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadExit.mk","line":11,"kind":"ctor","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.mk","doc":""},"Lake.MonadExit.exit":{"sourceLink":"https://example.com#L12-L12","name":"Lake.MonadExit.exit","line":12,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.exit","doc":""},"Lake.MonadExit":{"sourceLink":"https://example.com#L11-L12","name":"Lake.MonadExit","line":11,"kind":"class","docLink":"./Lake/Util/Exit.html#Lake.MonadExit","doc":""},"Lake.MonadError.runIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.MonadError.runIO","line":39,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runIO","doc":"Perform an IO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.runEIO":{"sourceLink":"https://example.com#L29-L33","name":"Lake.MonadError.runEIO","line":29,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runEIO","doc":"Perform an EIO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.mk":{"sourceLink":"https://example.com#L8-L8","name":"Lake.MonadError.mk","line":8,"kind":"ctor","docLink":"./Lake/Util/Error.html#Lake.MonadError.mk","doc":""},"Lake.MonadError.error":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadError.error","line":9,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.error","doc":""},"Lake.MonadError":{"sourceLink":"https://example.com#L8-L9","name":"Lake.MonadError","line":8,"kind":"class","docLink":"./Lake/Util/Error.html#Lake.MonadError","doc":""},"Lake.MonadDStore.store":{"sourceLink":"https://example.com#L18-L18","name":"Lake.MonadDStore.store","line":18,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.store","doc":""},"Lake.MonadDStore.mk":{"sourceLink":"https://example.com#L16-L16","name":"Lake.MonadDStore.mk","line":16,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.mk","doc":""},"Lake.MonadDStore.fetch?":{"sourceLink":"https://example.com#L17-L17","name":"Lake.MonadDStore.fetch?","line":17,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.fetch?","doc":""},"Lake.MonadDStore":{"sourceLink":"https://example.com#L16-L18","name":"Lake.MonadDStore","line":16,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadDStore","doc":"A monad equipped with a dependently typed key-object store. "},"Lake.MonadBuildStore":{"sourceLink":"https://example.com#L20-L20","name":"Lake.MonadBuildStore","line":20,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.MonadBuildStore","doc":"A monad equipped with a Lake build store. "},"Lake.ModuleSet.empty":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ModuleSet.empty","line":27,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet.empty","doc":""},"Lake.ModuleSet":{"sourceLink":"https://example.com#L26-L26","name":"Lake.ModuleSet","line":26,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet","doc":""},"Lake.ModuleMap.empty":{"sourceLink":"https://example.com#L33-L33","name":"Lake.ModuleMap.empty","line":33,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap.empty","doc":""},"Lake.ModuleMap":{"sourceLink":"https://example.com#L32-L32","name":"Lake.ModuleMap","line":32,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap","doc":""},"Lake.ModuleFacetDecl.fetch":{"sourceLink":"https://example.com#L58-L60","name":"Lake.ModuleFacetDecl.fetch","line":58,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetDecl.fetch","doc":"Fetch the build result of a module facet. "},"Lake.ModuleFacetDecl":{"sourceLink":"https://example.com#L56-L56","name":"Lake.ModuleFacetDecl","line":56,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetDecl","doc":"A module facet declaration from a configuration file. "},"Lake.ModuleFacetConfig.fetchJob":{"sourceLink":"https://example.com#L63-L67","name":"Lake.ModuleFacetConfig.fetchJob","line":63,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetConfig.fetchJob","doc":"Fetch the build job of a module facet. "},"Lake.ModuleFacetConfig":{"sourceLink":"https://example.com#L53-L53","name":"Lake.ModuleFacetConfig","line":53,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetConfig","doc":"A module facet's declarative configuration. "},"Lake.ModuleFacet.name":{"sourceLink":"https://example.com#L37-L37","name":"Lake.ModuleFacet.name","line":37,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.name","doc":"The name of the module facet. "},"Lake.ModuleFacet.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.ModuleFacet.mk","line":35,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.mk","doc":""},"Lake.ModuleFacet.data_eq":{"sourceLink":"https://example.com#L39-L39","name":"Lake.ModuleFacet.data_eq","line":39,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.data_eq","doc":"Proof that module's facet build result is of type α. "},"Lake.ModuleFacet":{"sourceLink":"https://example.com#L35-L40","name":"Lake.ModuleFacet","line":35,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet","doc":"A module facet name along with proof of its data type. "},"Lake.ModuleData.olean":{"sourceLink":"https://example.com#L74-L74","name":"Lake.ModuleData.olean","line":74,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.olean","doc":""},"Lake.ModuleData.o":{"sourceLink":"https://example.com#L86-L86","name":"Lake.ModuleData.o","line":86,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.o","doc":""},"Lake.ModuleData.lean.transImports":{"sourceLink":"https://example.com#L152-L152","name":"Lake.ModuleData.lean.transImports","line":152,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.transImports","doc":""},"Lake.ModuleData.lean.precompileImports":{"sourceLink":"https://example.com#L156-L156","name":"Lake.ModuleData.lean.precompileImports","line":156,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.precompileImports","doc":""},"Lake.ModuleData.lean.imports":{"sourceLink":"https://example.com#L148-L148","name":"Lake.ModuleData.lean.imports","line":148,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.imports","doc":""},"Lake.ModuleData.importBin":{"sourceLink":"https://example.com#L70-L70","name":"Lake.ModuleData.importBin","line":70,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.importBin","doc":""},"Lake.ModuleData.ilean":{"sourceLink":"https://example.com#L78-L78","name":"Lake.ModuleData.ilean","line":78,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.ilean","doc":""},"Lake.ModuleData.dynlib":{"sourceLink":"https://example.com#L160-L160","name":"Lake.ModuleData.dynlib","line":160,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.dynlib","doc":""},"Lake.ModuleData.deps":{"sourceLink":"https://example.com#L54-L54","name":"Lake.ModuleData.deps","line":54,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.deps","doc":""},"Lake.ModuleData.c":{"sourceLink":"https://example.com#L82-L82","name":"Lake.ModuleData.c","line":82,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.c","doc":""},"Lake.ModuleData.bin":{"sourceLink":"https://example.com#L62-L62","name":"Lake.ModuleData.bin","line":62,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.bin","doc":""},"Lake.ModuleData":{"sourceLink":"https://example.com#L24-L24","name":"Lake.ModuleData","line":24,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.ModuleData","doc":"The open type family which maps a module facet's name to its build data\nin the Lake build store. For example, a transitive × direct import pair\nfor the `lean.imports` facet or an active build target for `lean.c`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `module_data`).\n"},"Lake.Module.weakLeanArgs":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Module.weakLeanArgs","line":104,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.weakLeanArgs","doc":""},"Lake.Module.transImportsFacetConfig":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Module.transImportsFacetConfig","line":96,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.transImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `transImportsFacet`. "},"Lake.Module.transImportsFacet":{"sourceLink":"https://example.com#L151-L151","name":"Lake.Module.transImportsFacet","line":151,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.transImports":{"sourceLink":"https://example.com#L187-L188","name":"Lake.Module.transImports","line":187,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.traceFile":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Module.traceFile","line":76,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.traceFile","doc":""},"Lake.Module.srcPath":{"sourceLink":"https://example.com#L61-L62","name":"Lake.Module.srcPath","line":61,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.srcPath","doc":""},"Lake.Module.shouldPrecompile":{"sourceLink":"https://example.com#L113-L114","name":"Lake.Module.shouldPrecompile","line":113,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.shouldPrecompile","doc":""},"Lake.Module.rootDir":{"sourceLink":"https://example.com#L55-L56","name":"Lake.Module.rootDir","line":55,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.rootDir","doc":""},"Lake.Module.recParseImports":{"sourceLink":"https://example.com#L79-L84","name":"Lake.Module.recParseImports","line":79,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recParseImports","doc":"Recursively parse the Lean files of a module and its imports\nbuilding an `Array` product of its direct local imports.\n"},"Lake.Module.recComputeTransImports":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.recComputeTransImports","line":91,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputeTransImports","doc":"Recursively compute a module's transitive imports. "},"Lake.Module.recComputePrecompileImports":{"sourceLink":"https://example.com#L100-L105","name":"Lake.Module.recComputePrecompileImports","line":100,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputePrecompileImports","doc":"Recursively compute a module's precompiled imports. "},"Lake.Module.recBuildLeanO":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.recBuildLeanO","line":181,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanO","doc":"Recursively build the module's object file from its C file produced by `lean`. "},"Lake.Module.recBuildLeanCore":{"sourceLink":"https://example.com#L146-L149","name":"Lake.Module.recBuildLeanCore","line":146,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanCore","doc":"Recursively build a module and its dependencies. "},"Lake.Module.recBuildDynlib":{"sourceLink":"https://example.com#L190-L219","name":"Lake.Module.recBuildDynlib","line":190,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDynlib","doc":"Recursively build the shared library of a module (e.g., for `--load-dynlib`). "},"Lake.Module.recBuildDeps":{"sourceLink":"https://example.com#L112-L139","name":"Lake.Module.recBuildDeps","line":112,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDeps","doc":"Recursively build a module's transitive local imports and shared library dependencies. "},"Lake.Module.precompileImportsFacetConfig":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Module.precompileImportsFacetConfig","line":108,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.precompileImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `precompileImportsFacet`. "},"Lake.Module.precompileImportsFacet":{"sourceLink":"https://example.com#L155-L155","name":"Lake.Module.precompileImportsFacet","line":155,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.precompileImports":{"sourceLink":"https://example.com#L190-L191","name":"Lake.Module.precompileImports","line":190,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.pkg":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Module.pkg","line":52,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.pkg","doc":""},"Lake.Module.oleanFile":{"sourceLink":"https://example.com#L70-L71","name":"Lake.Module.oleanFile","line":70,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oleanFile","doc":""},"Lake.Module.oleanFacetConfig":{"sourceLink":"https://example.com#L162-L165","name":"Lake.Module.oleanFacetConfig","line":162,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oleanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oleanFacet`. "},"Lake.Module.oleanFacet":{"sourceLink":"https://example.com#L73-L73","name":"Lake.Module.oleanFacet","line":73,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oleanFacet","doc":"The `olean` file produced by `lean` "},"Lake.Module.olean":{"sourceLink":"https://example.com#L202-L203","name":"Lake.Module.olean","line":202,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.olean","doc":"The `olean` file produced by `lean` "},"Lake.Module.oFile":{"sourceLink":"https://example.com#L85-L86","name":"Lake.Module.oFile","line":85,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oFile","doc":""},"Lake.Module.oFacetConfig":{"sourceLink":"https://example.com#L185-L186","name":"Lake.Module.oFacetConfig","line":185,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oFacet`. "},"Lake.Module.oFacet":{"sourceLink":"https://example.com#L85-L85","name":"Lake.Module.oFacet","line":85,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oFacet","doc":"The object file built from `lean.c` "},"Lake.Module.o":{"sourceLink":"https://example.com#L211-L212","name":"Lake.Module.o","line":211,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.o","doc":"The object file built from `lean.c` "},"Lake.Module.nativeFacets":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Module.nativeFacets","line":116,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.nativeFacets","doc":""},"Lake.Module.name":{"sourceLink":"https://example.com#L16-L16","name":"Lake.Module.name","line":16,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.name","doc":""},"Lake.Module.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Module.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Module.html#Lake.Module.mk","doc":""},"Lake.Module.linkArgs":{"sourceLink":"https://example.com#L110-L111","name":"Lake.Module.linkArgs","line":110,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.linkArgs","doc":""},"Lake.Module.lib":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Module.lib","line":15,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.lib","doc":""},"Lake.Module.leancArgs":{"sourceLink":"https://example.com#L107-L108","name":"Lake.Module.leancArgs","line":107,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leancArgs","doc":""},"Lake.Module.leanLibPath":{"sourceLink":"https://example.com#L67-L68","name":"Lake.Module.leanLibPath","line":67,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanLibPath","doc":""},"Lake.Module.leanFile":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Module.leanFile","line":64,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanFile","doc":""},"Lake.Module.leanBinFacetConfig":{"sourceLink":"https://example.com#L152-L153","name":"Lake.Module.leanBinFacetConfig","line":152,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.leanBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `leanBinFacet`. "},"Lake.Module.leanBinFacet":{"sourceLink":"https://example.com#L61-L61","name":"Lake.Module.leanBinFacet","line":61,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.leanBinFacet","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanBin":{"sourceLink":"https://example.com#L196-L197","name":"Lake.Module.leanBin","line":196,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.leanBin","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.Module.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanArgs","doc":""},"Lake.Module.keyName":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Module.keyName","line":21,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.keyName","doc":"The name of the module as a key.\nUsed to create private modules (e.g., executable roots).\n"},"Lake.Module.irPath":{"sourceLink":"https://example.com#L79-L80","name":"Lake.Module.irPath","line":79,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.irPath","doc":""},"Lake.Module.instGetMTimeModule":{"sourceLink":"https://example.com#L124-L124","name":"Lake.Module.instGetMTimeModule","line":124,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instGetMTimeModule","doc":""},"Lake.Module.instComputeHashModuleIO":{"sourceLink":"https://example.com#L129-L129","name":"Lake.Module.instComputeHashModuleIO","line":129,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instComputeHashModuleIO","doc":""},"Lake.Module.instCheckExistsModule":{"sourceLink":"https://example.com#L134-L134","name":"Lake.Module.instCheckExistsModule","line":134,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instCheckExistsModule","doc":""},"Lake.Module.importsFacetConfig":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Module.importsFacetConfig","line":87,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importsFacet`. "},"Lake.Module.importsFacet":{"sourceLink":"https://example.com#L147-L147","name":"Lake.Module.importsFacet","line":147,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importsFacet","doc":"The direct local imports of the Lean module. "},"Lake.Module.imports":{"sourceLink":"https://example.com#L184-L185","name":"Lake.Module.imports","line":184,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.imports","doc":"The direct local imports of the Lean module. "},"Lake.Module.importBinFacetConfig":{"sourceLink":"https://example.com#L156-L159","name":"Lake.Module.importBinFacetConfig","line":156,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importBinFacet`. "},"Lake.Module.importBinFacet":{"sourceLink":"https://example.com#L69-L69","name":"Lake.Module.importBinFacet","line":69,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.importBinFacet","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.importBin":{"sourceLink":"https://example.com#L199-L200","name":"Lake.Module.importBin","line":199,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importBin","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.ileanFile":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Module.ileanFile","line":73,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.ileanFile","doc":""},"Lake.Module.ileanFacetConfig":{"sourceLink":"https://example.com#L168-L171","name":"Lake.Module.ileanFacetConfig","line":168,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.ileanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `ileanFacet`. "},"Lake.Module.ileanFacet":{"sourceLink":"https://example.com#L77-L77","name":"Lake.Module.ileanFacet","line":77,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.ileanFacet","doc":"The `ilean` file produced by `lean` "},"Lake.Module.ilean":{"sourceLink":"https://example.com#L205-L206","name":"Lake.Module.ilean","line":205,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.ilean","doc":"The `ilean` file produced by `lean` "},"Lake.Module.getMTime":{"sourceLink":"https://example.com#L121-L122","name":"Lake.Module.getMTime","line":121,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.getMTime","doc":""},"Lake.Module.filePath":{"sourceLink":"https://example.com#L58-L59","name":"Lake.Module.filePath","line":58,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.filePath","doc":""},"Lake.Module.fetchFacetJob":{"sourceLink":"https://example.com#L70-L74","name":"Lake.Module.fetchFacetJob","line":70,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Module.fetchFacetJob","doc":"Fetch the build job of a module facet. "},"Lake.Module.facetBuildKey":{"sourceLink":"https://example.com#L38-L39","name":"Lake.Module.facetBuildKey","line":38,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facetBuildKey","doc":""},"Lake.Module.facet":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.facet","line":181,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facet","doc":"Build info for the module's specified facet. "},"Lake.Module.dynlibSuffix":{"sourceLink":"https://example.com#L89-L89","name":"Lake.Module.dynlibSuffix","line":89,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibSuffix","doc":"Suffix for single module dynlibs (e.g., for precompilation). "},"Lake.Module.dynlibName":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.dynlibName","line":91,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibName","doc":""},"Lake.Module.dynlibFile":{"sourceLink":"https://example.com#L95-L96","name":"Lake.Module.dynlibFile","line":95,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibFile","doc":""},"Lake.Module.dynlibFacetConfig":{"sourceLink":"https://example.com#L222-L223","name":"Lake.Module.dynlibFacetConfig","line":222,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.dynlibFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Module.dynlibFacet":{"sourceLink":"https://example.com#L159-L159","name":"Lake.Module.dynlibFacet","line":159,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.dynlibFacet","doc":"Shared library for `--load-dynlib`. 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"},"Lake.LogT":{"sourceLink":"https://example.com#L111-L112","name":"Lake.LogT","line":111,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogT","doc":""},"Lake.LogLevel.warning":{"sourceLink":"https://example.com#L13-L13","name":"Lake.LogLevel.warning","line":13,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.warning","doc":""},"Lake.LogLevel.info":{"sourceLink":"https://example.com#L12-L12","name":"Lake.LogLevel.info","line":12,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.info","doc":""},"Lake.LogLevel.error":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LogLevel.error","line":14,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.error","doc":""},"Lake.LogLevel":{"sourceLink":"https://example.com#L11-L14","name":"Lake.LogLevel","line":11,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.LogLevel","doc":""},"Lake.LogIO.captureLog":{"sourceLink":"https://example.com#L108-L109","name":"Lake.LogIO.captureLog","line":108,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO.captureLog","doc":""},"Lake.LogIO":{"sourceLink":"https://example.com#L102-L103","name":"Lake.LogIO","line":102,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO","doc":""},"Lake.List.lt_irrefl":{"sourceLink":"https://example.com#L79-L82","name":"Lake.List.lt_irrefl","line":79,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.List.lt_irrefl","doc":""},"Lake.LibraryFacetDecl.fetch":{"sourceLink":"https://example.com#L86-L88","name":"Lake.LibraryFacetDecl.fetch","line":86,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetDecl.fetch","doc":"Fetch the build result of a library facet. "},"Lake.LibraryFacetDecl":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LibraryFacetDecl","line":68,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetDecl","doc":"A library facet declaration from a configuration file. "},"Lake.LibraryFacetConfig.fetchJob":{"sourceLink":"https://example.com#L91-L95","name":"Lake.LibraryFacetConfig.fetchJob","line":91,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetConfig.fetchJob","doc":"Fetch the build job of a library facet. "},"Lake.LibraryFacetConfig":{"sourceLink":"https://example.com#L65-L65","name":"Lake.LibraryFacetConfig","line":65,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetConfig","doc":"A library facet's declarative configuration. "},"Lake.LibraryData":{"sourceLink":"https://example.com#L54-L54","name":"Lake.LibraryData","line":54,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.LibraryData","doc":""},"Lake.LeanLibConfig.srcDir":{"sourceLink":"https://example.com#L26-L26","name":"Lake.LeanLibConfig.srcDir","line":26,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.srcDir","doc":"The subdirectory of the package's source directory containing the library's\nLean source files. 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"},"Lake.LeanLibConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLibConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.mk","doc":""},"Lake.LeanLibConfig.libName":{"sourceLink":"https://example.com#L53-L53","name":"Lake.LeanLibConfig.libName","line":53,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.libName","doc":"The name of the library.\nUsed as a base for the file names of its static and dynamic binaries.\nDefaults to the upper camel case name of the target.\n"},"Lake.LeanLibConfig.isLocalModule":{"sourceLink":"https://example.com#L85-L87","name":"Lake.LeanLibConfig.isLocalModule","line":85,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLibConfig.isBuildableModule":{"sourceLink":"https://example.com#L90-L92","name":"Lake.LeanLibConfig.isBuildableModule","line":90,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLibConfig.globs":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanLibConfig.globs","line":46,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.globs","doc":"An `Array` of module `Glob`s to build for the library.\nDefaults to a `Glob.one` of each of the library's `roots`.\n\nSubmodule globs build every source file within their directory.\nLocal imports of glob'ed files (i.e., fellow modules of the workspace) are\nalso recursively built.\n"},"Lake.LeanLibConfig.get":{"sourceLink":"https://example.com#L79-L83","name":"Lake.LeanLibConfig.get","line":79,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLibConfig.get","doc":"Get the Lean library in the workspace with the configuration's name. 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"},"Lake.LeanLib.rootDir":{"sourceLink":"https://example.com#L37-L38","name":"Lake.LeanLib.rootDir","line":37,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.rootDir","doc":"The library's root directory for `lean` (i.e., `srcDir`). 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"},"Lake.LeanLib.name":{"sourceLink":"https://example.com#L29-L30","name":"Lake.LeanLib.name","line":29,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.name","doc":"The library's well-formed name. "},"Lake.LeanLib.modulesFacetConfig":{"sourceLink":"https://example.com#L41-L42","name":"Lake.LeanLib.modulesFacetConfig","line":41,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.modulesFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `modulesFacet`. "},"Lake.LeanLib.modulesFacet":{"sourceLink":"https://example.com#L163-L163","name":"Lake.LeanLib.modulesFacet","line":163,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modulesFacet","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.modules":{"sourceLink":"https://example.com#L240-L241","name":"Lake.LeanLib.modules","line":240,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modules","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.mk","doc":""},"Lake.LeanLib.linkArgs":{"sourceLink":"https://example.com#L123-L124","name":"Lake.LeanLib.linkArgs","line":123,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the shared library.\nThat is, the package's `moreLinkArgs` plus the library's `moreLinkArgs`.\n"},"Lake.LeanLib.leancArgs":{"sourceLink":"https://example.com#L116-L117","name":"Lake.LeanLib.leancArgs","line":116,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leancArgs","doc":"The arguments to pass to `leanc` when compiling the library's C files.\nThat is, the build type's `leancArgs`, the package's `moreLeancArgs`,\nand then the library's `moreLeancArgs`.\n"},"Lake.LeanLib.leanFacetConfig":{"sourceLink":"https://example.com#L51-L52","name":"Lake.LeanLib.leanFacetConfig","line":51,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.leanFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `leanFacet`. "},"Lake.LeanLib.leanFacet":{"sourceLink":"https://example.com#L101-L101","name":"Lake.LeanLib.leanFacet","line":101,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.leanFacet","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.LeanLib.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leanArgs","doc":"The arguments to pass to `lean` when compiling the library's Lean files.\nThat is, the package's `moreLeanArgs` plus the library's `moreLeanArgs`.\n"},"Lake.LeanLib.lean":{"sourceLink":"https://example.com#L244-L245","name":"Lake.LeanLib.lean","line":244,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.lean","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.isLocalModule":{"sourceLink":"https://example.com#L48-L49","name":"Lake.LeanLib.isLocalModule","line":48,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLib.isBuildableModule":{"sourceLink":"https://example.com#L52-L53","name":"Lake.LeanLib.isBuildableModule","line":52,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLib.getModuleArray":{"sourceLink":"https://example.com#L40-L44","name":"Lake.LeanLib.getModuleArray","line":40,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.getModuleArray","doc":"Get an `Array` of the library's modules (as specified by its globs). "},"Lake.LeanLib.findModule?":{"sourceLink":"https://example.com#L36-L37","name":"Lake.LeanLib.findModule?","line":36,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.findModule?","doc":"Locate the named module in the library (if it is buildable and local to it). "},"Lake.LeanLib.fetchFacetJob":{"sourceLink":"https://example.com#L98-L102","name":"Lake.LeanLib.fetchFacetJob","line":98,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLib.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.LeanLib.facetBuildKey":{"sourceLink":"https://example.com#L47-L48","name":"Lake.LeanLib.facetBuildKey","line":47,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facetBuildKey","doc":""},"Lake.LeanLib.facet":{"sourceLink":"https://example.com#L236-L237","name":"Lake.LeanLib.facet","line":236,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facet","doc":"Build info of the Lean library's Lean binaries. "},"Lake.LeanLib.extraDepTargets":{"sourceLink":"https://example.com#L72-L73","name":"Lake.LeanLib.extraDepTargets","line":72,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.extraDepTargets","doc":"The library's `extraDepTargets` configuration. "},"Lake.LeanLib.extraDepFacetConfig":{"sourceLink":"https://example.com#L88-L89","name":"Lake.LeanLib.extraDepFacetConfig","line":88,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.extraDepFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `extraDepFacet`. "},"Lake.LeanLib.extraDepFacet":{"sourceLink":"https://example.com#L113-L113","name":"Lake.LeanLib.extraDepFacet","line":113,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.extraDepFacet","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.extraDep":{"sourceLink":"https://example.com#L256-L257","name":"Lake.LeanLib.extraDep","line":256,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.extraDep","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.defaultFacets":{"sourceLink":"https://example.com#L83-L84","name":"Lake.LeanLib.defaultFacets","line":83,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.defaultFacets","doc":"The library's `defaultFacets` configuration. "},"Lake.LeanLib.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanLib.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.config","doc":"The library's user-defined configuration. "},"Lake.LeanLib.buildType":{"sourceLink":"https://example.com#L94-L95","name":"Lake.LeanLib.buildType","line":94,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.buildType","doc":"The build type for modules of this library.\nThat is, the minimum of package's `buildType` and the library's `buildType`.\n"},"Lake.LeanLib":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanLib","line":12,"kind":"structure","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib","doc":"A Lean library -- its package plus its configuration. "},"Lake.LeanInstall.systemLibDir":{"sourceLink":"https://example.com#L43-L43","name":"Lake.LeanInstall.systemLibDir","line":43,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.systemLibDir","doc":""},"Lake.LeanInstall.sysroot":{"sourceLink":"https://example.com#L38-L38","name":"Lake.LeanInstall.sysroot","line":38,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sysroot","doc":""},"Lake.LeanInstall.srcDir":{"sourceLink":"https://example.com#L40-L40","name":"Lake.LeanInstall.srcDir","line":40,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.srcDir","doc":""},"Lake.LeanInstall.sharedLibPath":{"sourceLink":"https://example.com#L57-L61","name":"Lake.LeanInstall.sharedLibPath","line":57,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLibPath","doc":"A `SearchPath` including the Lean installation's shared library directories\n(i.e., the system library and Lean library directories).\n"},"Lake.LeanInstall.sharedLib":{"sourceLink":"https://example.com#L47-L47","name":"Lake.LeanInstall.sharedLib","line":47,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLib","doc":""},"Lake.LeanInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.mk","doc":""},"Lake.LeanInstall.leanc":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanInstall.leanc","line":46,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanc","doc":""},"Lake.LeanInstall.leanLibDir":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanInstall.leanLibDir","line":41,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanLibDir","doc":""},"Lake.LeanInstall.leanCc?":{"sourceLink":"https://example.com#L64-L65","name":"Lake.LeanInstall.leanCc?","line":64,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanCc?","doc":"The `LEAN_CC` of the Lean installation. "},"Lake.LeanInstall.lean":{"sourceLink":"https://example.com#L45-L45","name":"Lake.LeanInstall.lean","line":45,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.lean","doc":""},"Lake.LeanInstall.includeDir":{"sourceLink":"https://example.com#L42-L42","name":"Lake.LeanInstall.includeDir","line":42,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.includeDir","doc":""},"Lake.LeanInstall.githash":{"sourceLink":"https://example.com#L39-L39","name":"Lake.LeanInstall.githash","line":39,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.githash","doc":""},"Lake.LeanInstall.get.getGithash":{"sourceLink":"https://example.com#L133-L140","name":"Lake.LeanInstall.get.getGithash","line":133,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.getGithash","doc":""},"Lake.LeanInstall.get.findCc":{"sourceLink":"https://example.com#L147-L153","name":"Lake.LeanInstall.get.findCc","line":147,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findCc","doc":""},"Lake.LeanInstall.get.findAr":{"sourceLink":"https://example.com#L141-L146","name":"Lake.LeanInstall.get.findAr","line":141,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findAr","doc":""},"Lake.LeanInstall.get":{"sourceLink":"https://example.com#L124-L153","name":"Lake.LeanInstall.get","line":124,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get","doc":"Construct the `LeanInstall` object for the given Lean sysroot.\n\nDoes the following:\n1. Invokes `lean` to find out its `githash`.\n2. Finds the `ar` and `cc` to use with Lean.\n3. Computes the sub-paths of the Lean install.\n\nFor (1), if the invocation fails, `githash` is set to the empty string.\n\nFor (2), if `LEAN_AR` or `LEAN_CC` are defined, it uses those paths.\nOtherwise, if Lean is packaged with an `llvm-ar` and/or `clang`, use them.\nIf not, use the `ar` and/or `cc` in the system's `PATH`. This last step is\nneeded because internal builds of Lean do not bundle these tools\n(unlike user-facing releases).\n\nWe also track whether `LEAN_CC` was set to determine whether it should\nbe set in the future for `lake env`. This is because if `LEAN_CC` was not set,\nit needs to remain not set for `leanc` to work.\nEven setting it to the bundled compiler will break `leanc` -- see\n[leanprover/lean4#1281](https://github.com/leanprover/lean4/issues/1281).\n\nFor (3), it assumes that the Lean installation is organized the normal way.\nThat is, with its binaries located in `/bin`, its\nLean libraries in `/lib/lean`, and its system libraries in\n`/lib`.\n"},"Lake.LeanInstall.customCc":{"sourceLink":"https://example.com#L50-L50","name":"Lake.LeanInstall.customCc","line":50,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.customCc","doc":""},"Lake.LeanInstall.cc":{"sourceLink":"https://example.com#L49-L49","name":"Lake.LeanInstall.cc","line":49,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.cc","doc":""},"Lake.LeanInstall.binDir":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanInstall.binDir","line":44,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.binDir","doc":""},"Lake.LeanInstall.ar":{"sourceLink":"https://example.com#L48-L48","name":"Lake.LeanInstall.ar","line":48,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.ar","doc":""},"Lake.LeanInstall":{"sourceLink":"https://example.com#L37-L51","name":"Lake.LeanInstall","line":37,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall","doc":"Path information about the local Lean installation. "},"Lake.LeanExeConfig.toLeanLibConfig":{"sourceLink":"https://example.com#L30-L37","name":"Lake.LeanExeConfig.toLeanLibConfig","line":30,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExeConfig.toLeanLibConfig","doc":"Converts the executable configuration into a library\nwith a single module (the root).\n"},"Lake.LeanExeConfig.supportInterpreter":{"sourceLink":"https://example.com#L63-L63","name":"Lake.LeanExeConfig.supportInterpreter","line":63,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.supportInterpreter","doc":"Whether to expose symbols within the executable to the Lean interpreter.\nThis allows the executable to interpret Lean files (e.g., via\n`Lean.Elab.runFrontend`).\n\nImplementation-wise, this passes `-rdynamic` to the linker when building\non non-Windows systems.\n\nDefaults to `false`.\n"},"Lake.LeanExeConfig.srcDir":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LeanExeConfig.srcDir","line":23,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.srcDir","doc":"The subdirectory of the package's source directory containing the executable's\nLean source file. Defaults simply to said `srcDir`.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.LeanExeConfig.root":{"sourceLink":"https://example.com#L35-L35","name":"Lake.LeanExeConfig.root","line":35,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.root","doc":"The root module of the binary executable.\nShould include a `main` definition that will serve\nas the entry point of the program.\n\nThe root is built by recursively building its\nlocal imports (i.e., fellow modules of the workspace).\n\nDefaults to the name of the target.\n"},"Lake.LeanExeConfig.nativeFacets":{"sourceLink":"https://example.com#L51-L51","name":"Lake.LeanExeConfig.nativeFacets","line":51,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.nativeFacets","doc":"An `Array` of module facets to build and combine into the executable.\nDefaults to ``#[Module.oFacet]`` (i.e., the object file compiled from\nthe Lean source).\n"},"Lake.LeanExeConfig.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.LeanExeConfig.name","line":15,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.name","doc":"The name of the target. "},"Lake.LeanExeConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExeConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.mk","doc":""},"Lake.LeanExeConfig.get":{"sourceLink":"https://example.com#L107-L111","name":"Lake.LeanExeConfig.get","line":107,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.get","doc":"Get the Lean executable in the workspace with the configuration's name. "},"Lake.LeanExeConfig.fetch":{"sourceLink":"https://example.com#L114-L116","name":"Lake.LeanExeConfig.fetch","line":114,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.fetch","doc":"Fetch the build of the Lean executable. "},"Lake.LeanExeConfig.extraDepTargets":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanExeConfig.extraDepTargets","line":44,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.extraDepTargets","doc":"An `Array` of target names to build before the executable's modules. "},"Lake.LeanExeConfig.exeName":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanExeConfig.exeName","line":41,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.exeName","doc":"The name of the binary executable.\nDefaults to the target name with any `.` replaced with a `-`.\n"},"Lake.LeanExeConfig":{"sourceLink":"https://example.com#L13-L65","name":"Lake.LeanExeConfig","line":13,"kind":"structure","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig","doc":"A Lean executable's declarative configuration. "},"Lake.LeanExe.toLeanLib":{"sourceLink":"https://example.com#L46-L47","name":"Lake.LeanExe.toLeanLib","line":46,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.toLeanLib","doc":"Converts the executable into a library with a single module (the root). "},"Lake.LeanExe.root":{"sourceLink":"https://example.com#L50-L53","name":"Lake.LeanExe.root","line":50,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.root","doc":"The executable's root module. "},"Lake.LeanExe.recBuildExe":{"sourceLink":"https://example.com#L14-L23","name":"Lake.LeanExe.recBuildExe","line":14,"kind":"def","docLink":"./Lake/Build/Executable.html#Lake.LeanExe.recBuildExe","doc":""},"Lake.LeanExe.pkg":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LeanExe.pkg","line":14,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.pkg","doc":"The package the executable belongs to. "},"Lake.LeanExe.name":{"sourceLink":"https://example.com#L42-L43","name":"Lake.LeanExe.name","line":42,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.name","doc":"The executable's well-formed name. "},"Lake.LeanExe.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExe.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.mk","doc":""},"Lake.LeanExe.linkArgs":{"sourceLink":"https://example.com#L76-L80","name":"Lake.LeanExe.linkArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.linkArgs","doc":"The arguments to pass to `leanc` when linking the binary executable.\n\nThat is, `-rdynamic` (if non-Windows and `supportInterpreter`) plus the\npackage's and then the executable's `moreLinkArgs`.\n"},"Lake.LeanExe.isRoot?":{"sourceLink":"https://example.com#L56-L57","name":"Lake.LeanExe.isRoot?","line":56,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.isRoot?","doc":"Return the the root module if the name matches, otherwise return none. "},"Lake.LeanExe.fileName":{"sourceLink":"https://example.com#L63-L64","name":"Lake.LeanExe.fileName","line":63,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.fileName","doc":"The file name of binary executable\n(i.e., `exeName` plus the platform's `exeExtension`).\n"},"Lake.LeanExe.file":{"sourceLink":"https://example.com#L67-L68","name":"Lake.LeanExe.file","line":67,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.file","doc":"The path to the executable in the package's `binDir`. "},"Lake.LeanExe.fetch":{"sourceLink":"https://example.com#L107-L108","name":"Lake.LeanExe.fetch","line":107,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.fetch","doc":""},"Lake.LeanExe.exeFacet":{"sourceLink":"https://example.com#L117-L117","name":"Lake.LeanExe.exeFacet","line":117,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanExe.exeFacet","doc":"A Lean binary executable. "},"Lake.LeanExe.exe":{"sourceLink":"https://example.com#L260-L261","name":"Lake.LeanExe.exe","line":260,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.exe","doc":"Build info of the Lean executable. "},"Lake.LeanExe.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanExe.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.config","doc":"The executable's user-defined configuration. "},"Lake.LeanExe.buildKey":{"sourceLink":"https://example.com#L50-L51","name":"Lake.LeanExe.buildKey","line":50,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.buildKey","doc":""},"Lake.LeanExe.build":{"sourceLink":"https://example.com#L104-L105","name":"Lake.LeanExe.build","line":104,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.build","doc":""},"Lake.LeanExe":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanExe","line":12,"kind":"structure","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe","doc":"A Lean executable -- its package plus its configuration. "},"Lake.LeanConfig.weakLeanArgs":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LeanConfig.weakLeanArgs","line":68,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.weakLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n\nUnlike `moreLeanArgs`, these arguments do not affect the trace\nof the build result, so they can be changed without triggering a rebuild.\n"},"Lake.LeanConfig.moreLinkArgs":{"sourceLink":"https://example.com#L82-L82","name":"Lake.LeanConfig.moreLinkArgs","line":82,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLinkArgs","doc":"Additional arguments to pass to `leanc` when linking (e.g., for shared\nlibraries or binary executables). These will come *after* the paths of\nexternal libraries.\n"},"Lake.LeanConfig.moreLeancArgs":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LeanConfig.moreLeancArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeancArgs","doc":"Additional arguments to pass to `leanc`\nwhen compiling a module's C source files generated by `lean`.\n\nLake already passes some flags based on the `buildType`,\nbut you can change this by, for example, adding `-O0` and `-UNDEBUG`.\n"},"Lake.LeanConfig.moreLeanArgs":{"sourceLink":"https://example.com#L60-L60","name":"Lake.LeanConfig.moreLeanArgs","line":60,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n"},"Lake.LeanConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.mk","doc":""},"Lake.LeanConfig.buildType":{"sourceLink":"https://example.com#L55-L55","name":"Lake.LeanConfig.buildType","line":55,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.buildType","doc":"The mode in which the modules should be built (e.g., `debug`, `release`).\nDefaults to `release`.\n"},"Lake.LeanConfig":{"sourceLink":"https://example.com#L50-L83","name":"Lake.LeanConfig","line":50,"kind":"structure","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig","doc":"Configuration options common to targets that build modules. "},"Lake.LawfulCmpEq.mk":{"sourceLink":"https://example.com#L22-L22","name":"Lake.LawfulCmpEq.mk","line":22,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.mk","doc":""},"Lake.LawfulCmpEq.cmp_rfl":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LawfulCmpEq.cmp_rfl","line":23,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.cmp_rfl","doc":""},"Lake.LawfulCmpEq":{"sourceLink":"https://example.com#L22-L23","name":"Lake.LawfulCmpEq","line":22,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq","doc":"Proof that the equality of a compare function corresponds\nto propositional equality and vice versa.\n"},"Lake.LakeT.run":{"sourceLink":"https://example.com#L19-L20","name":"Lake.LakeT.run","line":19,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT.run","doc":""},"Lake.LakeT":{"sourceLink":"https://example.com#L17-L17","name":"Lake.LakeT","line":17,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT","doc":"A transformer to equip a monad with a `Lake.Context`. "},"Lake.LakeM.run":{"sourceLink":"https://example.com#L25-L26","name":"Lake.LakeM.run","line":25,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM.run","doc":""},"Lake.LakeM":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LakeM","line":23,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM","doc":"A monad equipped with a `Lake.Context`. "},"Lake.LakeInstall.srcDir":{"sourceLink":"https://example.com#L74-L74","name":"Lake.LakeInstall.srcDir","line":74,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.srcDir","doc":""},"Lake.LakeInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LakeInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.mk","doc":""},"Lake.LakeInstall.libDir":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LakeInstall.libDir","line":76,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.libDir","doc":""},"Lake.LakeInstall.lake":{"sourceLink":"https://example.com#L77-L77","name":"Lake.LakeInstall.lake","line":77,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.lake","doc":""},"Lake.LakeInstall.home":{"sourceLink":"https://example.com#L73-L73","name":"Lake.LakeInstall.home","line":73,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.home","doc":""},"Lake.LakeInstall.binDir":{"sourceLink":"https://example.com#L75-L75","name":"Lake.LakeInstall.binDir","line":75,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.binDir","doc":""},"Lake.LakeInstall":{"sourceLink":"https://example.com#L72-L78","name":"Lake.LakeInstall","line":72,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall","doc":"Path information about the local Lake installation. "},"Lake.JobM":{"sourceLink":"https://example.com#L17-L17","name":"Lake.JobM","line":17,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.JobM","doc":"The monad of Lake jobs. "},"Lake.Job.nil":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Job.nil","line":24,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.nil","doc":""},"Lake.Job.bindSync":{"sourceLink":"https://example.com#L33-L35","name":"Lake.Job.bindSync","line":33,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindSync","doc":""},"Lake.Job.bindAsync":{"sourceLink":"https://example.com#L37-L39","name":"Lake.Job.bindAsync","line":37,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindAsync","doc":""},"Lake.Job.await":{"sourceLink":"https://example.com#L30-L31","name":"Lake.Job.await","line":30,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.await","doc":""},"Lake.Job.async":{"sourceLink":"https://example.com#L27-L28","name":"Lake.Job.async","line":27,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.async","doc":""},"Lake.Job":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Job","line":14,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job","doc":"A Lake job. "},"Lake.IndexT":{"sourceLink":"https://example.com#L122-L122","name":"Lake.IndexT","line":122,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexT","doc":"A transformer to equip a monad with a build function for the Lake index. "},"Lake.IndexBuildM.run":{"sourceLink":"https://example.com#L77-L78","name":"Lake.IndexBuildM.run","line":77,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.IndexBuildM.run","doc":"Run the given recursive build using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.IndexBuildM":{"sourceLink":"https://example.com#L125-L125","name":"Lake.IndexBuildM","line":125,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildM","doc":"The monad for build functions that are part of the index. "},"Lake.IndexBuildFn":{"sourceLink":"https://example.com#L117-L119","name":"Lake.IndexBuildFn","line":117,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildFn","doc":"A build function for any element of the Lake build index. "},"Lake.Hole":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Hole","line":26,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Hole","doc":""},"Lake.Hash.val":{"sourceLink":"https://example.com#L82-L82","name":"Lake.Hash.val","line":82,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.val","doc":""},"Lake.Hash.toString":{"sourceLink":"https://example.com#L103-L104","name":"Lake.Hash.toString","line":103,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.toString","doc":""},"Lake.Hash.ofString":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Hash.ofString","line":108,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofString","doc":""},"Lake.Hash.ofNat":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Hash.ofNat","line":87,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofNat","doc":""},"Lake.Hash.ofByteArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.Hash.ofByteArray","line":111,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofByteArray","doc":""},"Lake.Hash.nil":{"sourceLink":"https://example.com#L93-L94","name":"Lake.Hash.nil","line":93,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.nil","doc":""},"Lake.Hash.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Hash.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.Hash.mk","doc":""},"Lake.Hash.mix":{"sourceLink":"https://example.com#L98-L99","name":"Lake.Hash.mix","line":98,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.mix","doc":""},"Lake.Hash.loadFromFile":{"sourceLink":"https://example.com#L90-L91","name":"Lake.Hash.loadFromFile","line":90,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.loadFromFile","doc":""},"Lake.Hash.instToStringHash":{"sourceLink":"https://example.com#L106-L106","name":"Lake.Hash.instToStringHash","line":106,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instToStringHash","doc":""},"Lake.Hash.instNilTraceHash":{"sourceLink":"https://example.com#L96-L96","name":"Lake.Hash.instNilTraceHash","line":96,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instNilTraceHash","doc":""},"Lake.Hash.instMixTraceHash":{"sourceLink":"https://example.com#L101-L101","name":"Lake.Hash.instMixTraceHash","line":101,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instMixTraceHash","doc":""},"Lake.Hash":{"sourceLink":"https://example.com#L81-L83","name":"Lake.Hash","line":81,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.Hash","doc":"A content hash.\nTODO: Use a secure hash rather than the builtin Lean hash function.\n"},"Lake.Glob.submodules":{"sourceLink":"https://example.com#L18-L19","name":"Lake.Glob.submodules","line":18,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.submodules","doc":"Selects all submodules of the specified module, but not the module itself. "},"Lake.Glob.one":{"sourceLink":"https://example.com#L16-L17","name":"Lake.Glob.one","line":16,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.one","doc":"Selects just the specified module name. "},"Lake.Glob.matches":{"sourceLink":"https://example.com#L39-L42","name":"Lake.Glob.matches","line":39,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.matches","doc":""},"Lake.Glob.forEachModuleIn":{"sourceLink":"https://example.com#L44-L50","name":"Lake.Glob.forEachModuleIn","line":44,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.forEachModuleIn","doc":""},"Lake.Glob.andSubmodules":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Glob.andSubmodules","line":20,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.andSubmodules","doc":"Selects the specified module and all submodules. "},"Lake.Glob":{"sourceLink":"https://example.com#L15-L22","name":"Lake.Glob","line":15,"kind":"inductive","docLink":"./Lake/Config/Glob.html#Lake.Glob","doc":"A specification of a set of module names. "},"Lake.GetMTime.mk":{"sourceLink":"https://example.com#L193-L193","name":"Lake.GetMTime.mk","line":193,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.mk","doc":""},"Lake.GetMTime.getMTime":{"sourceLink":"https://example.com#L194-L194","name":"Lake.GetMTime.getMTime","line":194,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.getMTime","doc":""},"Lake.GetMTime":{"sourceLink":"https://example.com#L193-L194","name":"Lake.GetMTime","line":193,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.GetMTime","doc":""},"Lake.FunBinder":{"sourceLink":"https://example.com#L43-L43","name":"Lake.FunBinder","line":43,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.FunBinder","doc":""},"Lake.Fin.eq_of_compare":{"sourceLink":"https://example.com#L66-L69","name":"Lake.Fin.eq_of_compare","line":66,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.Fin.eq_of_compare","doc":""},"Lake.FetchT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.FetchT","line":49,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.FetchT","doc":"A `DFetchT` that is not dependently typed. "},"Lake.FamilyOut.mk":{"sourceLink":"https://example.com#L141-L141","name":"Lake.FamilyOut.mk","line":141,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.mk","doc":""},"Lake.FamilyOut.family_key_eq_type":{"sourceLink":"https://example.com#L142-L142","name":"Lake.FamilyOut.family_key_eq_type","line":142,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.family_key_eq_type","doc":""},"Lake.FamilyOut":{"sourceLink":"https://example.com#L141-L142","name":"Lake.FamilyOut","line":141,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyOut","doc":"Like `FamilyDef`, but `β` is an `outParam`. "},"Lake.FamilyDef.mk":{"sourceLink":"https://example.com#L137-L137","name":"Lake.FamilyDef.mk","line":137,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.mk","doc":""},"Lake.FamilyDef.family_key_eq_type":{"sourceLink":"https://example.com#L138-L138","name":"Lake.FamilyDef.family_key_eq_type","line":138,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.family_key_eq_type","doc":""},"Lake.FamilyDef":{"sourceLink":"https://example.com#L137-L138","name":"Lake.FamilyDef","line":137,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyDef","doc":"Defines a single mapping of the **open type family** `Fam`, namely `Fam a = β`.\nSee the module documentation of `Lake.Util.Family` for details on what an open\ntype family is in Lake.\n"},"Lake.FacetConfig.name":{"sourceLink":"https://example.com#L19-L19","name":"Lake.FacetConfig.name","line":19,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.name","doc":""},"Lake.FacetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.FacetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.mk","doc":""},"Lake.FacetConfig.getJob?":{"sourceLink":"https://example.com#L16-L16","name":"Lake.FacetConfig.getJob?","line":16,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.getJob?","doc":"Does this facet produce an associated asynchronous job? "},"Lake.FacetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.FacetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.build","doc":"The facet's build (function). "},"Lake.FacetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.FacetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig","doc":"A facet's declarative configuration. "},"Lake.ExternLibDecl.pkg":{"sourceLink":"https://example.com#L19-L19","name":"Lake.ExternLibDecl.pkg","line":19,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.pkg","doc":""},"Lake.ExternLibDecl.name":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ExternLibDecl.name","line":20,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.name","doc":""},"Lake.ExternLibDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLibDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.mk","doc":""},"Lake.ExternLibDecl.config":{"sourceLink":"https://example.com#L21-L21","name":"Lake.ExternLibDecl.config","line":21,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.config","doc":""},"Lake.ExternLibDecl":{"sourceLink":"https://example.com#L18-L21","name":"Lake.ExternLibDecl","line":18,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.ExternLibConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.ExternLibConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.mk","doc":""},"Lake.ExternLibConfig.getJob":{"sourceLink":"https://example.com#L14-L14","name":"Lake.ExternLibConfig.getJob","line":14,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.getJob","doc":"The library's build data. "},"Lake.ExternLibConfig":{"sourceLink":"https://example.com#L12-L15","name":"Lake.ExternLibConfig","line":12,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig","doc":"A external library's declarative configuration. "},"Lake.ExternLib.staticTargetName":{"sourceLink":"https://example.com#L37-L38","name":"Lake.ExternLib.staticTargetName","line":37,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.staticTargetName","doc":"The name of the package target used to build the external library's static binary. "},"Lake.ExternLib.staticFacet":{"sourceLink":"https://example.com#L121-L121","name":"Lake.ExternLib.staticFacet","line":121,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.staticFacet","doc":"A external library's static binary. "},"Lake.ExternLib.staticBuildKey":{"sourceLink":"https://example.com#L53-L54","name":"Lake.ExternLib.staticBuildKey","line":53,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.staticBuildKey","doc":""},"Lake.ExternLib.static":{"sourceLink":"https://example.com#L264-L265","name":"Lake.ExternLib.static","line":264,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.static","doc":"Build info of the external library's static binary. "},"Lake.ExternLib.sharedFacet":{"sourceLink":"https://example.com#L125-L125","name":"Lake.ExternLib.sharedFacet","line":125,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.sharedFacet","doc":"A external library's shared binary. "},"Lake.ExternLib.sharedBuildKey":{"sourceLink":"https://example.com#L56-L57","name":"Lake.ExternLib.sharedBuildKey","line":56,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.sharedBuildKey","doc":""},"Lake.ExternLib.shared":{"sourceLink":"https://example.com#L268-L269","name":"Lake.ExternLib.shared","line":268,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.shared","doc":"Build info of the external library's shared binary. "},"Lake.ExternLib.recComputeDynlib":{"sourceLink":"https://example.com#L35-L36","name":"Lake.ExternLib.recComputeDynlib","line":35,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recComputeDynlib","doc":""},"Lake.ExternLib.recBuildStatic":{"sourceLink":"https://example.com#L29-L30","name":"Lake.ExternLib.recBuildStatic","line":29,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildStatic","doc":""},"Lake.ExternLib.recBuildShared":{"sourceLink":"https://example.com#L32-L33","name":"Lake.ExternLib.recBuildShared","line":32,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildShared","doc":""},"Lake.ExternLib.pkg":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ExternLib.pkg","line":13,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.pkg","doc":"The package the library belongs to. "},"Lake.ExternLib.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ExternLib.name","line":15,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.name","doc":"The external library's name. "},"Lake.ExternLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.mk","doc":""},"Lake.ExternLib.linkArgs":{"sourceLink":"https://example.com#L33-L34","name":"Lake.ExternLib.linkArgs","line":33,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the external library.\nThat is, the package's `moreLinkArgs`.\n"},"Lake.ExternLib.dynlibFacet":{"sourceLink":"https://example.com#L129-L129","name":"Lake.ExternLib.dynlibFacet","line":129,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.dynlibFacet","doc":"A external library's dynlib. "},"Lake.ExternLib.dynlibBuildKey":{"sourceLink":"https://example.com#L59-L60","name":"Lake.ExternLib.dynlibBuildKey","line":59,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlibBuildKey","doc":""},"Lake.ExternLib.dynlib":{"sourceLink":"https://example.com#L272-L273","name":"Lake.ExternLib.dynlib","line":272,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlib","doc":"Build info of the external library's dynlib. "},"Lake.ExternLib.config":{"sourceLink":"https://example.com#L17-L17","name":"Lake.ExternLib.config","line":17,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.config","doc":"The library's user-defined configuration. "},"Lake.ExternLib":{"sourceLink":"https://example.com#L11-L17","name":"Lake.ExternLib","line":11,"kind":"structure","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib","doc":"An external library -- its package plus its configuration. "},"Lake.ExitCode":{"sourceLink":"https://example.com#L9-L9","name":"Lake.ExitCode","line":9,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.ExitCode","doc":"A process exit / return code. "},"Lake.EquipT.tryCatch":{"sourceLink":"https://example.com#L87-L88","name":"Lake.EquipT.tryCatch","line":87,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.tryCatch","doc":""},"Lake.EquipT.throw":{"sourceLink":"https://example.com#L83-L84","name":"Lake.EquipT.throw","line":83,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.throw","doc":""},"Lake.EquipT.seq":{"sourceLink":"https://example.com#L46-L47","name":"Lake.EquipT.seq","line":46,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.seq","doc":""},"Lake.EquipT.run":{"sourceLink":"https://example.com#L24-L25","name":"Lake.EquipT.run","line":24,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.run","doc":""},"Lake.EquipT.pure":{"sourceLink":"https://example.com#L35-L36","name":"Lake.EquipT.pure","line":35,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.pure","doc":""},"Lake.EquipT.orElse":{"sourceLink":"https://example.com#L75-L76","name":"Lake.EquipT.orElse","line":75,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.orElse","doc":""},"Lake.EquipT.map":{"sourceLink":"https://example.com#L28-L29","name":"Lake.EquipT.map","line":28,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.map","doc":""},"Lake.EquipT.lift":{"sourceLink":"https://example.com#L64-L65","name":"Lake.EquipT.lift","line":64,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.lift","doc":""},"Lake.EquipT.instSeqEquipT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.EquipT.instSeqEquipT","line":49,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instSeqEquipT","doc":""},"Lake.EquipT.instPureEquipT":{"sourceLink":"https://example.com#L38-L39","name":"Lake.EquipT.instPureEquipT","line":38,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instPureEquipT","doc":""},"Lake.EquipT.instMonadLiftEquipT":{"sourceLink":"https://example.com#L67-L68","name":"Lake.EquipT.instMonadLiftEquipT","line":67,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadLiftEquipT","doc":""},"Lake.EquipT.instMonadExceptOfEquipT":{"sourceLink":"https://example.com#L90-L92","name":"Lake.EquipT.instMonadExceptOfEquipT","line":90,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadExceptOfEquipT","doc":""},"Lake.EquipT.instMonadEquipT":{"sourceLink":"https://example.com#L61-L61","name":"Lake.EquipT.instMonadEquipT","line":61,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadEquipT","doc":""},"Lake.EquipT.instFunctorEquipT":{"sourceLink":"https://example.com#L31-L32","name":"Lake.EquipT.instFunctorEquipT","line":31,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instFunctorEquipT","doc":""},"Lake.EquipT.instBindEquipT":{"sourceLink":"https://example.com#L58-L59","name":"Lake.EquipT.instBindEquipT","line":58,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instBindEquipT","doc":""},"Lake.EquipT.instApplicativeEquipT":{"sourceLink":"https://example.com#L52-L52","name":"Lake.EquipT.instApplicativeEquipT","line":52,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instApplicativeEquipT","doc":""},"Lake.EquipT.instAlternativeEquipT":{"sourceLink":"https://example.com#L78-L80","name":"Lake.EquipT.instAlternativeEquipT","line":78,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instAlternativeEquipT","doc":""},"Lake.EquipT.failure":{"sourceLink":"https://example.com#L71-L72","name":"Lake.EquipT.failure","line":71,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.failure","doc":""},"Lake.EquipT.compose":{"sourceLink":"https://example.com#L42-L43","name":"Lake.EquipT.compose","line":42,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.compose","doc":""},"Lake.EquipT.bind":{"sourceLink":"https://example.com#L55-L56","name":"Lake.EquipT.bind","line":55,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.bind","doc":""},"Lake.EquipT":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EquipT","line":13,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT","doc":"A monad transformer that equips a monad with a value.\nThis is a generalization of `ReaderT` where the value is not\nnecessarily directly readable through the monad.\n"},"Lake.EqOfCmpWrt.mk":{"sourceLink":"https://example.com#L36-L36","name":"Lake.EqOfCmpWrt.mk","line":36,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.mk","doc":""},"Lake.EqOfCmpWrt.eq_of_cmp_wrt":{"sourceLink":"https://example.com#L37-L37","name":"Lake.EqOfCmpWrt.eq_of_cmp_wrt","line":37,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.eq_of_cmp_wrt","doc":""},"Lake.EqOfCmpWrt":{"sourceLink":"https://example.com#L36-L37","name":"Lake.EqOfCmpWrt","line":36,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt","doc":"Proof that the equality of a compare function corresponds\nto propositional equality with respect to a given function.\n"},"Lake.EqOfCmp.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.EqOfCmp.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.mk","doc":""},"Lake.EqOfCmp.eq_of_cmp":{"sourceLink":"https://example.com#L14-L14","name":"Lake.EqOfCmp.eq_of_cmp","line":14,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.eq_of_cmp","doc":""},"Lake.EqOfCmp":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EqOfCmp","line":13,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp","doc":"Proof that the equality of a compare function corresponds\nto propositional equality.\n"},"Lake.Env.vars":{"sourceLink":"https://example.com#L97-L106","name":"Lake.Env.vars","line":97,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.vars","doc":"Environment variable settings for the `Lake.Env`. "},"Lake.Env.sharedLibPath":{"sourceLink":"https://example.com#L83-L84","name":"Lake.Env.sharedLibPath","line":83,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.sharedLibPath","doc":"The shared library search path of the environment.\nCombines the initial path of the environment with that of the Lean installation.\n"},"Lake.Env.path":{"sourceLink":"https://example.com#L51-L55","name":"Lake.Env.path","line":51,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.path","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Env.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Env.html#Lake.Env.mk","doc":""},"Lake.Env.leanSrcPath":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Env.leanSrcPath","line":76,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSrcPath","doc":"The Lean source search path of the environment (i.e., `LEAN_SRC_PATH`).\nCombines the initial path of the environment with that of the Lake abd Lean\ninstallations.\n"},"Lake.Env.leanSearchPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Env.leanSearchPath","line":128,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSearchPath","doc":"The default search path the Lake executable\nuses when interpreting package configuration files.\n\nIn order to use the Lean stdlib (e.g., `Init`),\nthe executable needs the search path to include the directory\nwith the stdlib's `.olean` files (e.g., from `/lib/lean`).\nIn order to use Lake's modules as well, the search path also\nneeds to include Lake's `.olean` files (e.g., from `build`).\n\nWhile this can be done by having the user augment `LEAN_PATH` with\nthe necessary directories, Lake also intelligently augments the initial\nsearch path with the `.olean` directories of the provided Lean and Lake\ninstallations.\n\nSee `findInstall?` for more information on how Lake determines those\ndirectories. If everything is configured as expected, the user will not\nneed to augment `LEAN_PATH`. Otherwise, they will need to provide Lake\nwith more information (either through `LEAN_PATH` or through other options).\n"},"Lake.Env.leanPath":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Env.leanPath","line":68,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanPath","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.lean":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Env.lean","line":24,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lean","doc":"The Lean installation of the environment. "},"Lake.Env.lake":{"sourceLink":"https://example.com#L22-L22","name":"Lake.Env.lake","line":22,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lake","doc":"The Lake installation of the environment. "},"Lake.Env.installVars":{"sourceLink":"https://example.com#L87-L94","name":"Lake.Env.installVars","line":87,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.installVars","doc":"Environment variable settings based only on the Lean and Lake installations. "},"Lake.Env.initSharedLibPath":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Env.initSharedLibPath","line":30,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initSharedLibPath","doc":"The initial shared library search path of the environment. "},"Lake.Env.initPath":{"sourceLink":"https://example.com#L32-L32","name":"Lake.Env.initPath","line":32,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initPath","doc":"The initial binary search path of the environment (i.e., `PATH`). "},"Lake.Env.initLeanSrcPath":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Env.initLeanSrcPath","line":28,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanSrcPath","doc":"The initial Lean source search path of the environment (i.e., `LEAN_SRC_PATH`). "},"Lake.Env.initLeanPath":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Env.initLeanPath","line":26,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanPath","doc":"The initial Lean library search path of the environment (i.e., `LEAN_PATH`). "},"Lake.Env.compute":{"sourceLink":"https://example.com#L38-L45","name":"Lake.Env.compute","line":38,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.compute","doc":"Compute an `Lake.Env` object from the given installs and set environment variables. "},"Lake.Env":{"sourceLink":"https://example.com#L20-L33","name":"Lake.Env","line":20,"kind":"structure","docLink":"./Lake/Config/Env.html#Lake.Env","doc":"A Lake environment. "},"Lake.Ellipsis":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Ellipsis","line":13,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Ellipsis","doc":""},"Lake.ETask":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ETask","line":13,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.ETask","doc":""},"Lake.EStateT.run'":{"sourceLink":"https://example.com#L19-L20","name":"Lake.EStateT.run'","line":19,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run'","doc":""},"Lake.EStateT.run":{"sourceLink":"https://example.com#L16-L17","name":"Lake.EStateT.run","line":16,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run","doc":""},"Lake.EStateT":{"sourceLink":"https://example.com#L10-L11","name":"Lake.EStateT","line":10,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT","doc":"An exception plus state monad transformer (ι.e., `ExceptT` + `StateT`). "},"Lake.EIOTask":{"sourceLink":"https://example.com#L19-L19","name":"Lake.EIOTask","line":19,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.EIOTask","doc":""},"Lake.Dynlib.path":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Dynlib.path","line":24,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.path","doc":"Library file path. "},"Lake.Dynlib.name":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Dynlib.name","line":26,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.name","doc":"Library name without platform-specific prefix/suffix (for `-l`). "},"Lake.Dynlib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dynlib.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.mk","doc":""},"Lake.Dynlib.dir?":{"sourceLink":"https://example.com#L29-L30","name":"Lake.Dynlib.dir?","line":29,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.dir?","doc":"Optional library directory (for `-L`). "},"Lake.Dynlib":{"sourceLink":"https://example.com#L22-L26","name":"Lake.Dynlib","line":22,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.Dynlib","doc":"A dynamic/shared library for linking. "},"Lake.Dependency.src":{"sourceLink":"https://example.com#L35-L35","name":"Lake.Dependency.src","line":35,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.src","doc":"The source of a dependency.\nSee the documentation of `Source` for more information.\n"},"Lake.Dependency.opts":{"sourceLink":"https://example.com#L39-L39","name":"Lake.Dependency.opts","line":39,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.opts","doc":"Arguments to pass to the dependency's package configuration.\n"},"Lake.Dependency.name":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Dependency.name","line":30,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.name","doc":"A `Name` for the dependency.\nThe names of a package's dependencies cannot clash.\n"},"Lake.Dependency.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dependency.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.mk","doc":""},"Lake.Dependency":{"sourceLink":"https://example.com#L25-L41","name":"Lake.Dependency","line":25,"kind":"structure","docLink":"./Lake/Config/Dependency.html#Lake.Dependency","doc":"A `Dependency` of a package. "},"Lake.DSL.targetDecl":{"sourceLink":"https://example.com#L123-L140","name":"Lake.DSL.targetDecl","line":123,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.targetDecl","doc":"Define a new custom target for the package. Has one form:\n\n```lean\ntarget «target-name» (pkg : NPackage _package.name) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n"},"Lake.DSL.structVal":{"sourceLink":"https://example.com#L27-L28","name":"Lake.DSL.structVal","line":27,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structVal","doc":""},"Lake.DSL.structDeclSig":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DSL.structDeclSig","line":45,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structDeclSig","doc":""},"Lake.DSL.simpleDeclSig":{"sourceLink":"https://example.com#L42-L43","name":"Lake.DSL.simpleDeclSig","line":42,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleDeclSig","doc":""},"Lake.DSL.simpleBinder":{"sourceLink":"https://example.com#L51-L52","name":"Lake.DSL.simpleBinder","line":51,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleBinder","doc":""},"Lake.DSL.scriptDeclSpec":{"sourceLink":"https://example.com#L13-L14","name":"Lake.DSL.scriptDeclSpec","line":13,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDeclSpec","doc":""},"Lake.DSL.scriptDecl":{"sourceLink":"https://example.com#L16-L25","name":"Lake.DSL.scriptDecl","line":16,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDecl","doc":"Define a new Lake script for the package. Has two forms:\n\n```lean\nscript «script-name» (args) do /- ... -/\nscript «script-name» (args) := ...\n```\n"},"Lake.DSL.requireDecl":{"sourceLink":"https://example.com#L56-L57","name":"Lake.DSL.requireDecl","line":56,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.requireDecl","doc":"Adds a new package dependency to the workspace. Has two forms:\n\n```lean\nrequire foo from \"path\"/\"to\"/\"local\"/\"package\" with NameMap.empty\nrequire bar from git \"url.git\"@\"rev\"/\"optional\"/\"path-to\"/\"dir-with-pkg\"\n```\n\nEither form supports the optional `with` clause.\nThe `@\"rev\"` and `/\"path\"/\"dir\"` parts of the git form of `require`\nare optional.\n\nThe elements of both the `from` and `with` clauses are proper terms so\nnormal computation is supported within them (though parentheses made be\nrequired to disambiguate the syntax).\n"},"Lake.DSL.packageFacetDecl":{"sourceLink":"https://example.com#L61-L77","name":"Lake.DSL.packageFacetDecl","line":61,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.packageFacetDecl","doc":"Define a new package facet. Has one form:\n\n```lean\npackage_facet «facet-name» (pkg : Package) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\n"},"Lake.DSL.packageDeclName":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.packageDeclName","line":14,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDeclName","doc":"The name given to the definition created by the `package` syntax. "},"Lake.DSL.packageDecl":{"sourceLink":"https://example.com#L29-L35","name":"Lake.DSL.packageDecl","line":29,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDecl","doc":"Defines the configuration of a Lake package. Has many forms:\n\n```lean\npackage «pkg-name»\npackage «pkg-name» { /- config opts -/ }\npackage «pkg-name» where /- config opts -/\npackage «pkg-name» : PackageConfig := /- config -/\n```\n\nThere can only be one `package` declaration per Lake configuration file.\nThe defined package configuration will be available for reference as `_package`.\n"},"Lake.DSL.moduleFacetDecl":{"sourceLink":"https://example.com#L33-L49","name":"Lake.DSL.moduleFacetDecl","line":33,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.moduleFacetDecl","doc":"Define a new module facet. Has one form:\n\n```lean\nmodule_facet «facet-name» (mod : Module) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `mod` parameter (and its type specifier) is optional.\n"},"Lake.DSL.mkConfigStructDecl":{"sourceLink":"https://example.com#L72-L86","name":"Lake.DSL.mkConfigStructDecl","line":72,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.mkConfigStructDecl","doc":""},"Lake.DSL.metaIf":{"sourceLink":"https://example.com#L28-L53","name":"Lake.DSL.metaIf","line":28,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.metaIf","doc":"The `meta if` command has two forms:\n\n```lean\nmeta if then \nmeta if then else \n```\n\nIt expands to the command `a` if the term `c` evaluates to true\n(at elaboration time). Otherwise, it expands to command `b` (if an `else`\nclause is provided).\n\nOne can use this command to specify, for example, external library targets\nonly available on specific platforms:\n\n```lean\nmeta if System.Platform.isWindows then\nextern_lib winOnlyLib := ...\nelse meta if System.Platform.isOSX then\nextern_lib macOnlyLib := ...\nelse\nextern_lib linuxOnlyLib := ...\n```\n"},"Lake.DSL.libraryFacetDecl":{"sourceLink":"https://example.com#L89-L105","name":"Lake.DSL.libraryFacetDecl","line":89,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.libraryFacetDecl","doc":"Define a new library facet. Has one form:\n\n```lean\nlibrary_facet «facet-name» (lib : LeanLib) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `lib` parameter (and its type specifier) is optional.\n"},"Lake.DSL.leanLibDecl":{"sourceLink":"https://example.com#L159-L165","name":"Lake.DSL.leanLibDecl","line":159,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanLibDecl","doc":"Define a new Lean library target for the package.\nCan optionally be provided with a configuration of type `LeanLibConfig`.\nHas many forms:\n\n```lean\nlean_lib «target-name»\nlean_lib «target-name» { /- config opts -/ }\nlean_lib «target-name» where /- config opts -/\nlean_lib «target-name» := /- config -/\n```\n"},"Lake.DSL.leanExeDecl":{"sourceLink":"https://example.com#L179-L185","name":"Lake.DSL.leanExeDecl","line":179,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanExeDecl","doc":"Define a new Lean binary executable target for the package.\nCan optionally be provided with a configuration of type `LeanExeConfig`.\nHas many forms:\n\n```lean\nlean_exe «target-name»\nlean_exe «target-name» { /- config opts -/ }\nlean_exe «target-name» where /- config opts -/\nlean_exe «target-name» := /- config -/\n```\n"},"Lake.DSL.getConfig":{"sourceLink":"https://example.com#L41-L48","name":"Lake.DSL.getConfig","line":41,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.getConfig","doc":"A macro that expands to the specified configuration option (or `none`,\nif not the option has not been set) during the Lakefile's elaboration.\n\nConfiguration arguments are set either via the Lake CLI (by the `-K` option)\nor via the `with` clause in a `require` statement.\n"},"Lake.DSL.fromPath":{"sourceLink":"https://example.com#L12-L13","name":"Lake.DSL.fromPath","line":12,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromPath","doc":""},"Lake.DSL.fromGit":{"sourceLink":"https://example.com#L15-L16","name":"Lake.DSL.fromGit","line":15,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromGit","doc":""},"Lake.DSL.fixName":{"sourceLink":"https://example.com#L68-L70","name":"Lake.DSL.fixName","line":68,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.fixName","doc":""},"Lake.DSL.externLibDeclSpec":{"sourceLink":"https://example.com#L192-L193","name":"Lake.DSL.externLibDeclSpec","line":192,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDeclSpec","doc":""},"Lake.DSL.externLibDecl":{"sourceLink":"https://example.com#L209-L225","name":"Lake.DSL.externLibDecl","line":209,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDecl","doc":"Define a new external library target for the package. Has one form:\n\n```lean\nextern_lib «target-name» (pkg : NPackage _package.name) :=\n /- build term of type `IndexBuildM (BuildJob FilePath)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n\nThe term should build the external library's **static** library.\n"},"Lake.DSL.expandScriptDecl":{"sourceLink":"https://example.com#L28-L35","name":"Lake.DSL.expandScriptDecl","line":28,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.expandScriptDecl","doc":""},"Lake.DSL.expandOptSimpleBinder":{"sourceLink":"https://example.com#L56-L66","name":"Lake.DSL.expandOptSimpleBinder","line":56,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandOptSimpleBinder","doc":""},"Lake.DSL.expandDepSpec":{"sourceLink":"https://example.com#L21-L38","name":"Lake.DSL.expandDepSpec","line":21,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.expandDepSpec","doc":""},"Lake.DSL.expandCmdDo":{"sourceLink":"https://example.com#L23-L26","name":"Lake.DSL.expandCmdDo","line":23,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.expandCmdDo","doc":""},"Lake.DSL.expandAttrs":{"sourceLink":"https://example.com#L19-L25","name":"Lake.DSL.expandAttrs","line":19,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandAttrs","doc":""},"Lake.DSL.elabGetConfig":{"sourceLink":"https://example.com#L51-L65","name":"Lake.DSL.elabGetConfig","line":51,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabGetConfig","doc":""},"Lake.DSL.elabDirConst":{"sourceLink":"https://example.com#L31-L39","name":"Lake.DSL.elabDirConst","line":31,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabDirConst","doc":""},"Lake.DSL.dummyGetConfig?":{"sourceLink":"https://example.com#L22-L22","name":"Lake.DSL.dummyGetConfig?","line":22,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyGetConfig?","doc":"A dummy default constant for `get_config` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dummyDir":{"sourceLink":"https://example.com#L16-L16","name":"Lake.DSL.dummyDir","line":16,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyDir","doc":"A dummy default constant for `__dir__` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dirConst":{"sourceLink":"https://example.com#L24-L28","name":"Lake.DSL.dirConst","line":24,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.dirConst","doc":"A macro that expands to the path of package's directory\nduring the Lakefile's elaboration.\n"},"Lake.DSL.depSpec":{"sourceLink":"https://example.com#L18-L19","name":"Lake.DSL.depSpec","line":18,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.depSpec","doc":""},"Lake.DSL.declValTyped":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DSL.declValTyped","line":36,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValTyped","doc":""},"Lake.DSL.declValStruct":{"sourceLink":"https://example.com#L33-L34","name":"Lake.DSL.declValStruct","line":33,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValStruct","doc":""},"Lake.DSL.declValOptTyped":{"sourceLink":"https://example.com#L39-L40","name":"Lake.DSL.declValOptTyped","line":39,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValOptTyped","doc":""},"Lake.DSL.declValDo":{"sourceLink":"https://example.com#L30-L31","name":"Lake.DSL.declValDo","line":30,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValDo","doc":""},"Lake.DSL.cmdDo":{"sourceLink":"https://example.com#L16-L21","name":"Lake.DSL.cmdDo","line":16,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.cmdDo","doc":"The `do` command syntax groups multiple similarly indented commands together.\nThe group can then be passed to another command that usually only accepts a\nsingle command (e.g., `meta if`).\n"},"Lake.DSL.buildDeclSig":{"sourceLink":"https://example.com#L16-L17","name":"Lake.DSL.buildDeclSig","line":16,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.buildDeclSig","doc":""},"Lake.DSL.bracketedSimpleBinder":{"sourceLink":"https://example.com#L48-L49","name":"Lake.DSL.bracketedSimpleBinder","line":48,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.bracketedSimpleBinder","doc":""},"Lake.DSL.WhereDecls":{"sourceLink":"https://example.com#L15-L15","name":"Lake.DSL.WhereDecls","line":15,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.WhereDecls","doc":""},"Lake.DSL.SimpleBinder":{"sourceLink":"https://example.com#L54-L54","name":"Lake.DSL.SimpleBinder","line":54,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.SimpleBinder","doc":""},"Lake.DSL.DocComment":{"sourceLink":"https://example.com#L12-L12","name":"Lake.DSL.DocComment","line":12,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.DocComment","doc":""},"Lake.DSL.Attributes":{"sourceLink":"https://example.com#L13-L13","name":"Lake.DSL.Attributes","line":13,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.Attributes","doc":""},"Lake.DSL.AttrInstance":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.AttrInstance","line":14,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.AttrInstance","doc":""},"Lake.DRecFetchFn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRecFetchFn","line":61,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DRecFetchFn","doc":""},"Lake.DRBMap.toList":{"sourceLink":"https://example.com#L71-L72","name":"Lake.DRBMap.toList","line":71,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.toList","doc":""},"Lake.DRBMap.size":{"sourceLink":"https://example.com#L125-L126","name":"Lake.DRBMap.size","line":125,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.size","doc":""},"Lake.DRBMap.revFold":{"sourceLink":"https://example.com#L52-L53","name":"Lake.DRBMap.revFold","line":52,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.revFold","doc":""},"Lake.DRBMap.ofList":{"sourceLink":"https://example.com#L95-L97","name":"Lake.DRBMap.ofList","line":95,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.ofList","doc":""},"Lake.DRBMap.min!":{"sourceLink":"https://example.com#L131-L134","name":"Lake.DRBMap.min!","line":131,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min!","doc":""},"Lake.DRBMap.min":{"sourceLink":"https://example.com#L74-L78","name":"Lake.DRBMap.min","line":74,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min","doc":""},"Lake.DRBMap.maxDepth":{"sourceLink":"https://example.com#L128-L129","name":"Lake.DRBMap.maxDepth","line":128,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.maxDepth","doc":""},"Lake.DRBMap.max!":{"sourceLink":"https://example.com#L136-L139","name":"Lake.DRBMap.max!","line":136,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max!","doc":""},"Lake.DRBMap.max":{"sourceLink":"https://example.com#L80-L84","name":"Lake.DRBMap.max","line":80,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max","doc":""},"Lake.DRBMap.lowerBound":{"sourceLink":"https://example.com#L110-L111","name":"Lake.DRBMap.lowerBound","line":110,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.lowerBound","doc":"(lowerBound k) retrieves the kv pair of the largest key smaller than or equal to `k`,\nif it exists. "},"Lake.DRBMap.isEmpty":{"sourceLink":"https://example.com#L67-L69","name":"Lake.DRBMap.isEmpty","line":67,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.isEmpty","doc":""},"Lake.DRBMap.instReprDRBMap":{"sourceLink":"https://example.com#L86-L87","name":"Lake.DRBMap.instReprDRBMap","line":86,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instReprDRBMap","doc":""},"Lake.DRBMap.instForInDRBMapSigma":{"sourceLink":"https://example.com#L64-L65","name":"Lake.DRBMap.instForInDRBMapSigma","line":64,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instForInDRBMapSigma","doc":""},"Lake.DRBMap.insert":{"sourceLink":"https://example.com#L89-L90","name":"Lake.DRBMap.insert","line":89,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.insert","doc":""},"Lake.DRBMap.fromList":{"sourceLink":"https://example.com#L116-L117","name":"Lake.DRBMap.fromList","line":116,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fromList","doc":""},"Lake.DRBMap.forM":{"sourceLink":"https://example.com#L58-L59","name":"Lake.DRBMap.forM","line":58,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forM","doc":""},"Lake.DRBMap.forIn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRBMap.forIn","line":61,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forIn","doc":""},"Lake.DRBMap.foldM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.DRBMap.foldM","line":55,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.foldM","doc":""},"Lake.DRBMap.fold":{"sourceLink":"https://example.com#L49-L50","name":"Lake.DRBMap.fold","line":49,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fold","doc":""},"Lake.DRBMap.findD":{"sourceLink":"https://example.com#L105-L106","name":"Lake.DRBMap.findD","line":105,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findD","doc":""},"Lake.DRBMap.findCore?":{"sourceLink":"https://example.com#L99-L100","name":"Lake.DRBMap.findCore?","line":99,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findCore?","doc":""},"Lake.DRBMap.find?":{"sourceLink":"https://example.com#L102-L103","name":"Lake.DRBMap.find?","line":102,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find?","doc":""},"Lake.DRBMap.find!":{"sourceLink":"https://example.com#L141-L144","name":"Lake.DRBMap.find!","line":141,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find!","doc":""},"Lake.DRBMap.erase":{"sourceLink":"https://example.com#L92-L93","name":"Lake.DRBMap.erase","line":92,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.erase","doc":""},"Lake.DRBMap.empty":{"sourceLink":"https://example.com#L37-L38","name":"Lake.DRBMap.empty","line":37,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.empty","doc":""},"Lake.DRBMap.depth":{"sourceLink":"https://example.com#L46-L47","name":"Lake.DRBMap.depth","line":46,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.depth","doc":""},"Lake.DRBMap.contains":{"sourceLink":"https://example.com#L113-L114","name":"Lake.DRBMap.contains","line":113,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.contains","doc":""},"Lake.DRBMap.any":{"sourceLink":"https://example.com#L122-L123","name":"Lake.DRBMap.any","line":122,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.any","doc":""},"Lake.DRBMap.all":{"sourceLink":"https://example.com#L119-L120","name":"Lake.DRBMap.all","line":119,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.all","doc":""},"Lake.DRBMap":{"sourceLink":"https://example.com#L31-L32","name":"Lake.DRBMap","line":31,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap","doc":"A Dependently typed `RBMap`. "},"Lake.DNameMap.empty":{"sourceLink":"https://example.com#L175-L175","name":"Lake.DNameMap.empty","line":175,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap.empty","doc":""},"Lake.DNameMap":{"sourceLink":"https://example.com#L174-L174","name":"Lake.DNameMap","line":174,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap","doc":""},"Lake.DFetchT":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DFetchT","line":45,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchT","doc":"A transformer that equips a monad with a `DFetchFn`. "},"Lake.DFetchFn":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DFetchFn","line":36,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchFn","doc":"A dependently typed monadic *fetch* function.\n\nThat is, a function within the monad `m` and takes an input `a : α`\ndescribing what to fetch and and produces some output `b : β a` (dependently\ntyped) or `b : B` (not) describing what was fetched. All build functions are\nfetch functions, but not all fetch functions need build something.\n"},"Lake.CycleT":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CycleT","line":16,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CycleT","doc":"A transformer that equips a monad with a `CallStack` to detect cycles. "},"Lake.Cycle":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Cycle","line":13,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.Cycle","doc":"A `CallStack` ending in a cycle. "},"Lake.CustomData":{"sourceLink":"https://example.com#L69-L69","name":"Lake.CustomData","line":69,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.CustomData","doc":"The open type family which maps a custom target (package × target name) to\nits build data in the Lake build store.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `custom_data`).\n"},"Lake.Context.workspace":{"sourceLink":"https://example.com#L37-L38","name":"Lake.Context.workspace","line":37,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.Context.workspace","doc":""},"Lake.Context.opaqueWs":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Context.opaqueWs","line":14,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.Context.opaqueWs","doc":""},"Lake.Context.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Context.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Context.html#Lake.Context.mk","doc":""},"Lake.Context":{"sourceLink":"https://example.com#L13-L14","name":"Lake.Context","line":13,"kind":"structure","docLink":"./Lake/Config/Context.html#Lake.Context","doc":"A Lake configuration. "},"Lake.ComputeTrace.mk":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ComputeTrace.mk","line":27,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.mk","doc":""},"Lake.ComputeTrace.computeTrace":{"sourceLink":"https://example.com#L29-L29","name":"Lake.ComputeTrace.computeTrace","line":29,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.computeTrace","doc":"Compute the trace of some target info using information from the monadic context. "},"Lake.ComputeTrace":{"sourceLink":"https://example.com#L27-L29","name":"Lake.ComputeTrace","line":27,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace","doc":""},"Lake.ComputeHash.mk":{"sourceLink":"https://example.com#L116-L116","name":"Lake.ComputeHash.mk","line":116,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.mk","doc":""},"Lake.ComputeHash.computeHash":{"sourceLink":"https://example.com#L117-L117","name":"Lake.ComputeHash.computeHash","line":117,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.computeHash","doc":""},"Lake.ComputeHash":{"sourceLink":"https://example.com#L116-L117","name":"Lake.ComputeHash","line":116,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash","doc":""},"Lake.CheckExists.mk":{"sourceLink":"https://example.com#L14-L14","name":"Lake.CheckExists.mk","line":14,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.mk","doc":""},"Lake.CheckExists.checkExists":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CheckExists.checkExists","line":16,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.checkExists","doc":"Check whether there already exists an artifact for the given target info. "},"Lake.CheckExists":{"sourceLink":"https://example.com#L14-L16","name":"Lake.CheckExists","line":14,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.CheckExists","doc":""},"Lake.CallStack":{"sourceLink":"https://example.com#L10-L10","name":"Lake.CallStack","line":10,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CallStack","doc":"A sequence of calls donated by the key type `κ`. "},"Lake.BuildType.release":{"sourceLink":"https://example.com#L30-L34","name":"Lake.BuildType.release","line":30,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.release","doc":"High optimization level and no debug info, code, or asserts\n(e.g., passes `-O3 -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.relWithDebInfo":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildType.relWithDebInfo","line":20,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.relWithDebInfo","doc":"Optimized, *with* debug info, but no debug code or asserts\n(e.g., passes `-O3 -g -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.minSizeRel":{"sourceLink":"https://example.com#L25-L29","name":"Lake.BuildType.minSizeRel","line":25,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.minSizeRel","doc":"Same as `release` but optimizing for size rather than speed\n(e.g., passes `-Os -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.leancArgs":{"sourceLink":"https://example.com#L43-L47","name":"Lake.BuildType.leancArgs","line":43,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.leancArgs","doc":"The arguments to pass to `leanc` based on the build type. "},"Lake.BuildType.debug":{"sourceLink":"https://example.com#L13-L19","name":"Lake.BuildType.debug","line":13,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.debug","doc":"Debug optimization, asserts enabled, custom debug code enabled, and\ndebug info included in executable (so you can step through the code with a\ndebugger and have address to source-file:line-number translation).\nFor example, passes `-Og -g` when compiling C code.\n"},"Lake.BuildType":{"sourceLink":"https://example.com#L12-L35","name":"Lake.BuildType","line":12,"kind":"inductive","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType","doc":"Lake equivalent of CMake's\n[`CMAKE_BUILD_TYPE`](https://stackoverflow.com/a/59314670).\n"},"Lake.BuildTrace.writeToFile":{"sourceLink":"https://example.com#L287-L288","name":"Lake.BuildTrace.writeToFile","line":287,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.writeToFile","doc":""},"Lake.BuildTrace.withoutMTime":{"sourceLink":"https://example.com#L230-L231","name":"Lake.BuildTrace.withoutMTime","line":230,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutMTime","doc":""},"Lake.BuildTrace.withoutHash":{"sourceLink":"https://example.com#L224-L225","name":"Lake.BuildTrace.withoutHash","line":224,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutHash","doc":""},"Lake.BuildTrace.withMTime":{"sourceLink":"https://example.com#L227-L228","name":"Lake.BuildTrace.withMTime","line":227,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withMTime","doc":""},"Lake.BuildTrace.withHash":{"sourceLink":"https://example.com#L221-L222","name":"Lake.BuildTrace.withHash","line":221,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withHash","doc":""},"Lake.BuildTrace.nil":{"sourceLink":"https://example.com#L243-L244","name":"Lake.BuildTrace.nil","line":243,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.nil","doc":""},"Lake.BuildTrace.mtime":{"sourceLink":"https://example.com#L216-L216","name":"Lake.BuildTrace.mtime","line":216,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mtime","doc":""},"Lake.BuildTrace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildTrace.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mk","doc":""},"Lake.BuildTrace.mix":{"sourceLink":"https://example.com#L253-L254","name":"Lake.BuildTrace.mix","line":253,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mix","doc":""},"Lake.BuildTrace.instNilTraceBuildTrace":{"sourceLink":"https://example.com#L246-L246","name":"Lake.BuildTrace.instNilTraceBuildTrace","line":246,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instNilTraceBuildTrace","doc":""},"Lake.BuildTrace.instMixTraceBuildTrace":{"sourceLink":"https://example.com#L256-L256","name":"Lake.BuildTrace.instMixTraceBuildTrace","line":256,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instMixTraceBuildTrace","doc":""},"Lake.BuildTrace.instComputeTraceIOBuildTrace":{"sourceLink":"https://example.com#L251-L251","name":"Lake.BuildTrace.instComputeTraceIOBuildTrace","line":251,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instComputeTraceIOBuildTrace","doc":""},"Lake.BuildTrace.instCoeMTimeBuildTrace":{"sourceLink":"https://example.com#L241-L241","name":"Lake.BuildTrace.instCoeMTimeBuildTrace","line":241,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeMTimeBuildTrace","doc":""},"Lake.BuildTrace.instCoeHashBuildTrace":{"sourceLink":"https://example.com#L236-L236","name":"Lake.BuildTrace.instCoeHashBuildTrace","line":236,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeHashBuildTrace","doc":""},"Lake.BuildTrace.hash":{"sourceLink":"https://example.com#L215-L215","name":"Lake.BuildTrace.hash","line":215,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.hash","doc":""},"Lake.BuildTrace.fromMTime":{"sourceLink":"https://example.com#L238-L239","name":"Lake.BuildTrace.fromMTime","line":238,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromMTime","doc":""},"Lake.BuildTrace.fromHash":{"sourceLink":"https://example.com#L233-L234","name":"Lake.BuildTrace.fromHash","line":233,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromHash","doc":""},"Lake.BuildTrace.compute":{"sourceLink":"https://example.com#L248-L249","name":"Lake.BuildTrace.compute","line":248,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.compute","doc":""},"Lake.BuildTrace.checkAgainstTime":{"sourceLink":"https://example.com#L270-L272","name":"Lake.BuildTrace.checkAgainstTime","line":270,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstTime","doc":"Check the build trace against the given target info and its modification time\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstHash":{"sourceLink":"https://example.com#L262-L264","name":"Lake.BuildTrace.checkAgainstHash","line":262,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstHash","doc":"Check the build trace against the given target info and hash\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstFile":{"sourceLink":"https://example.com#L278-L285","name":"Lake.BuildTrace.checkAgainstFile","line":278,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstFile","doc":"Check the build trace against the given target info and its trace file\nto see if the target is up-to-date.\n"},"Lake.BuildTrace":{"sourceLink":"https://example.com#L214-L217","name":"Lake.BuildTrace","line":214,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace","doc":"Trace used for common Lake targets. Combines `Hash` and `MTime`. "},"Lake.BuildT":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildT","line":26,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildT","doc":"A transformer to equip a monad with a `BuildContext`. "},"Lake.BuildStoreT":{"sourceLink":"https://example.com#L35-L35","name":"Lake.BuildStoreT","line":35,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildStoreT","doc":"A transformer to equip a monad with a Lake build store. "},"Lake.BuildStore.empty":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildStore.empty","line":26,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.empty","doc":""},"Lake.BuildStore.collectTargetFacetArray":{"sourceLink":"https://example.com#L73-L83","name":"Lake.BuildStore.collectTargetFacetArray","line":73,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectTargetFacetArray","doc":"Derive an array of built target facets from the store. "},"Lake.BuildStore.collectSharedExternLibs":{"sourceLink":"https://example.com#L86-L88","name":"Lake.BuildStore.collectSharedExternLibs","line":86,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectSharedExternLibs","doc":"Derive an array of built external shared libraries from the store. "},"Lake.BuildStore.collectPackageFacetArray":{"sourceLink":"https://example.com#L60-L70","name":"Lake.BuildStore.collectPackageFacetArray","line":60,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectPackageFacetArray","doc":"Derive an array of built package facets from the store. "},"Lake.BuildStore.collectModuleFacetMap":{"sourceLink":"https://example.com#L47-L57","name":"Lake.BuildStore.collectModuleFacetMap","line":47,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetMap","doc":"Derive a map of module names to built facets from the store. "},"Lake.BuildStore.collectModuleFacetArray":{"sourceLink":"https://example.com#L34-L44","name":"Lake.BuildStore.collectModuleFacetArray","line":34,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetArray","doc":"Derive an array of built module facets from the store. "},"Lake.BuildStore":{"sourceLink":"https://example.com#L23-L24","name":"Lake.BuildStore","line":23,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore","doc":"The type of the Lake build store. "},"Lake.BuildM.run":{"sourceLink":"https://example.com#L49-L50","name":"Lake.BuildM.run","line":49,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.run","doc":""},"Lake.BuildM.catchFailure":{"sourceLink":"https://example.com#L52-L53","name":"Lake.BuildM.catchFailure","line":52,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.catchFailure","doc":""},"Lake.BuildM":{"sourceLink":"https://example.com#L32-L32","name":"Lake.BuildM","line":32,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM","doc":"The core monad for Lake builds. "},"Lake.BuildKey.toString":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildKey.toString","line":20,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.toString","doc":""},"Lake.BuildKey.targetFacet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.BuildKey.targetFacet","line":14,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.targetFacet","doc":""},"Lake.BuildKey.quickCmp":{"sourceLink":"https://example.com#L28-L62","name":"Lake.BuildKey.quickCmp","line":28,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.quickCmp","doc":""},"Lake.BuildKey.packageFacet":{"sourceLink":"https://example.com#L13-L13","name":"Lake.BuildKey.packageFacet","line":13,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.packageFacet","doc":""},"Lake.BuildKey.moduleFacet":{"sourceLink":"https://example.com#L12-L12","name":"Lake.BuildKey.moduleFacet","line":12,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.moduleFacet","doc":""},"Lake.BuildKey.instToStringBuildKey":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildKey.instToStringBuildKey","line":26,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instToStringBuildKey","doc":""},"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","line":102,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","doc":""},"Lake.BuildKey.eq_of_quickCmp":{"sourceLink":"https://example.com#L64-L100","name":"Lake.BuildKey.eq_of_quickCmp","line":64,"kind":"theorem","docLink":"./Lake/Build/Key.html#Lake.BuildKey.eq_of_quickCmp","doc":""},"Lake.BuildKey.customTarget":{"sourceLink":"https://example.com#L15-L15","name":"Lake.BuildKey.customTarget","line":15,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.customTarget","doc":""},"Lake.BuildKey":{"sourceLink":"https://example.com#L11-L16","name":"Lake.BuildKey","line":11,"kind":"inductive","docLink":"./Lake/Build/Key.html#Lake.BuildKey","doc":"The type of keys in the Lake build store. "},"Lake.BuildJob.toJob":{"sourceLink":"https://example.com#L54-L55","name":"Lake.BuildJob.toJob","line":54,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.toJob","doc":""},"Lake.BuildJob.seqWithAsync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildJob.seqWithAsync","line":102,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.seqWithAsync","doc":""},"Lake.BuildJob.pure":{"sourceLink":"https://example.com#L60-L61","name":"Lake.BuildJob.pure","line":60,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.pure","doc":""},"Lake.BuildJob.ofJob":{"sourceLink":"https://example.com#L51-L52","name":"Lake.BuildJob.ofJob","line":51,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.ofJob","doc":""},"Lake.BuildJob.nil":{"sourceLink":"https://example.com#L57-L58","name":"Lake.BuildJob.nil","line":57,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.nil","doc":""},"Lake.BuildJob.mk":{"sourceLink":"https://example.com#L48-L49","name":"Lake.BuildJob.mk","line":48,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mk","doc":""},"Lake.BuildJob.mixList":{"sourceLink":"https://example.com#L94-L96","name":"Lake.BuildJob.mixList","line":94,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixList","doc":""},"Lake.BuildJob.mixArray":{"sourceLink":"https://example.com#L98-L100","name":"Lake.BuildJob.mixArray","line":98,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixArray","doc":""},"Lake.BuildJob.mix":{"sourceLink":"https://example.com#L91-L92","name":"Lake.BuildJob.mix","line":91,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mix","doc":""},"Lake.BuildJob.materialize":{"sourceLink":"https://example.com#L88-L89","name":"Lake.BuildJob.materialize","line":88,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.materialize","doc":""},"Lake.BuildJob.mapWithTrace":{"sourceLink":"https://example.com#L71-L72","name":"Lake.BuildJob.mapWithTrace","line":71,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mapWithTrace","doc":""},"Lake.BuildJob.map":{"sourceLink":"https://example.com#L65-L66","name":"Lake.BuildJob.map","line":65,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.map","doc":""},"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob":{"sourceLink":"https://example.com#L106-L106","name":"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","line":106,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","doc":""},"Lake.BuildJob.instPureBuildJob":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BuildJob.instPureBuildJob","line":63,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instPureBuildJob","doc":""},"Lake.BuildJob.instFunctorBuildJob":{"sourceLink":"https://example.com#L68-L69","name":"Lake.BuildJob.instFunctorBuildJob","line":68,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instFunctorBuildJob","doc":""},"Lake.BuildJob.instAwaitBuildJobResultM":{"sourceLink":"https://example.com#L86-L86","name":"Lake.BuildJob.instAwaitBuildJobResultM","line":86,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instAwaitBuildJobResultM","doc":""},"Lake.BuildJob.collectList":{"sourceLink":"https://example.com#L108-L109","name":"Lake.BuildJob.collectList","line":108,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectList","doc":""},"Lake.BuildJob.collectArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.BuildJob.collectArray","line":111,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectArray","doc":""},"Lake.BuildJob.bindSync":{"sourceLink":"https://example.com#L74-L77","name":"Lake.BuildJob.bindSync","line":74,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindSync","doc":""},"Lake.BuildJob.bindAsync":{"sourceLink":"https://example.com#L79-L81","name":"Lake.BuildJob.bindAsync","line":79,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindAsync","doc":""},"Lake.BuildJob.await":{"sourceLink":"https://example.com#L83-L84","name":"Lake.BuildJob.await","line":83,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.await","doc":""},"Lake.BuildJob":{"sourceLink":"https://example.com#L44-L44","name":"Lake.BuildJob","line":44,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob","doc":"A Lake build job. "},"Lake.BuildInfo.target":{"sourceLink":"https://example.com#L30-L30","name":"Lake.BuildInfo.target","line":30,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.target","doc":""},"Lake.BuildInfo.staticExternLib":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BuildInfo.staticExternLib","line":27,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.staticExternLib","doc":""},"Lake.BuildInfo.sharedExternLib":{"sourceLink":"https://example.com#L28-L28","name":"Lake.BuildInfo.sharedExternLib","line":28,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.sharedExternLib","doc":""},"Lake.BuildInfo.packageFacet":{"sourceLink":"https://example.com#L24-L24","name":"Lake.BuildInfo.packageFacet","line":24,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.packageFacet","doc":""},"Lake.BuildInfo.moduleFacet":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildInfo.moduleFacet","line":23,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.moduleFacet","doc":""},"Lake.BuildInfo.libraryFacet":{"sourceLink":"https://example.com#L25-L25","name":"Lake.BuildInfo.libraryFacet","line":25,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.libraryFacet","doc":""},"Lake.BuildInfo.leanExe":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildInfo.leanExe","line":26,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.leanExe","doc":""},"Lake.BuildInfo.key":{"sourceLink":"https://example.com#L65-L73","name":"Lake.BuildInfo.key","line":65,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.key","doc":"The key that identifies the build in the Lake build store. "},"Lake.BuildInfo.fetch":{"sourceLink":"https://example.com#L128-L129","name":"Lake.BuildInfo.fetch","line":128,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.fetch","doc":"Fetch the result associated with the info using the Lake build index. "},"Lake.BuildInfo.dynlibExternLib":{"sourceLink":"https://example.com#L29-L29","name":"Lake.BuildInfo.dynlibExternLib","line":29,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.dynlibExternLib","doc":""},"Lake.BuildInfo.build":{"sourceLink":"https://example.com#L96-L98","name":"Lake.BuildInfo.build","line":96,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.BuildInfo.build","doc":"Build the given Lake target in a fresh build store. "},"Lake.BuildInfo":{"sourceLink":"https://example.com#L22-L30","name":"Lake.BuildInfo","line":22,"kind":"inductive","docLink":"./Lake/Build/Info.html#Lake.BuildInfo","doc":"The type of Lake's build info. "},"Lake.BuildData":{"sourceLink":"https://example.com#L80-L84","name":"Lake.BuildData","line":80,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.BuildData","doc":"A mapping between a build key and its associated build data in the store.\nIt is a simple type function composed of the separate open type families for\nmodules facets, package facets, Lake target facets, and custom targets.\n"},"Lake.BuildCycleT":{"sourceLink":"https://example.com#L41-L41","name":"Lake.BuildCycleT","line":41,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycleT","doc":"A transformer for monads that may encounter a build cycle. "},"Lake.BuildCycle":{"sourceLink":"https://example.com#L38-L38","name":"Lake.BuildCycle","line":38,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycle","doc":"A Lake build cycle. "},"Lake.BuildContext.startedBuilds":{"sourceLink":"https://example.com#L22-L22","name":"Lake.BuildContext.startedBuilds","line":22,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.startedBuilds","doc":""},"Lake.BuildContext.oldMode":{"sourceLink":"https://example.com#L21-L21","name":"Lake.BuildContext.oldMode","line":21,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.oldMode","doc":""},"Lake.BuildContext.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildContext.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Context.html#Lake.BuildContext.mk","doc":""},"Lake.BuildContext.leanTrace":{"sourceLink":"https://example.com#L20-L20","name":"Lake.BuildContext.leanTrace","line":20,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.leanTrace","doc":""},"Lake.BuildContext.finishedBuilds":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildContext.finishedBuilds","line":23,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.finishedBuilds","doc":""},"Lake.BuildContext":{"sourceLink":"https://example.com#L19-L23","name":"Lake.BuildContext","line":19,"kind":"structure","docLink":"./Lake/Build/Context.html#Lake.BuildContext","doc":"A Lake context with some additional caching for builds. "},"Lake.BracketedBinder":{"sourceLink":"https://example.com#L42-L42","name":"Lake.BracketedBinder","line":42,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BracketedBinder","doc":""},"Lake.BinderSyntaxView.type":{"sourceLink":"https://example.com#L62-L62","name":"Lake.BinderSyntaxView.type","line":62,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.type","doc":""},"Lake.BinderSyntaxView.modifier?":{"sourceLink":"https://example.com#L64-L64","name":"Lake.BinderSyntaxView.modifier?","line":64,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.modifier?","doc":""},"Lake.BinderSyntaxView.mkBinder":{"sourceLink":"https://example.com#L141-L147","name":"Lake.BinderSyntaxView.mkBinder","line":141,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkBinder","doc":""},"Lake.BinderSyntaxView.mkArgument":{"sourceLink":"https://example.com#L149-L150","name":"Lake.BinderSyntaxView.mkArgument","line":149,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkArgument","doc":""},"Lake.BinderSyntaxView.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BinderSyntaxView.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mk","doc":""},"Lake.BinderSyntaxView.info":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BinderSyntaxView.info","line":63,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.info","doc":""},"Lake.BinderSyntaxView.id":{"sourceLink":"https://example.com#L61-L61","name":"Lake.BinderSyntaxView.id","line":61,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.id","doc":""},"Lake.BinderSyntaxView":{"sourceLink":"https://example.com#L60-L64","name":"Lake.BinderSyntaxView","line":60,"kind":"structure","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView","doc":""},"Lake.BinderModifier":{"sourceLink":"https://example.com#L55-L55","name":"Lake.BinderModifier","line":55,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderModifier","doc":""},"Lake.BinderIdent":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BinderIdent","line":27,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderIdent","doc":""},"Lake.Binder":{"sourceLink":"https://example.com#L51-L51","name":"Lake.Binder","line":51,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Binder","doc":""},"Lake.BindSync.mk":{"sourceLink":"https://example.com#L102-L102","name":"Lake.BindSync.mk","line":102,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindSync.mk","doc":""},"Lake.BindSync.bindSync":{"sourceLink":"https://example.com#L104-L104","name":"Lake.BindSync.bindSync","line":104,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindSync.bindSync","doc":"Perform a synchronous action after another (a)synchronous task completes successfully. "},"Lake.BindSync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BindSync","line":102,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindSync","doc":""},"Lake.BindAsync.mk":{"sourceLink":"https://example.com#L108-L108","name":"Lake.BindAsync.mk","line":108,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindAsync.mk","doc":""},"Lake.BindAsync.bindAsync":{"sourceLink":"https://example.com#L110-L110","name":"Lake.BindAsync.bindAsync","line":110,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindAsync.bindAsync","doc":"Perform a asynchronous task after another (a)synchronous task completes successfully. "},"Lake.BindAsync":{"sourceLink":"https://example.com#L108-L110","name":"Lake.BindAsync","line":108,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindAsync","doc":""},"Lake.BaseIOTask":{"sourceLink":"https://example.com#L16-L16","name":"Lake.BaseIOTask","line":16,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.BaseIOTask","doc":""},"Lake.Await.mk":{"sourceLink":"https://example.com#L40-L40","name":"Lake.Await.mk","line":40,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Await.mk","doc":""},"Lake.Await.await":{"sourceLink":"https://example.com#L42-L42","name":"Lake.Await.await","line":42,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Await.await","doc":"Wait for an (a)synchronous task to finish. "},"Lake.Await":{"sourceLink":"https://example.com#L40-L42","name":"Lake.Await","line":40,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Await","doc":""},"Lake.Async.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.Async.mk","line":34,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Async.mk","doc":""},"Lake.Async.async":{"sourceLink":"https://example.com#L36-L36","name":"Lake.Async.async","line":36,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Async.async","doc":"Run the monadic action as an asynchronous task. "},"Lake.Async":{"sourceLink":"https://example.com#L34-L36","name":"Lake.Async","line":34,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Async","doc":""},"Lake.Argument":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Argument","line":15,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Argument","doc":""},"Lake.ApplicativeAsync.mk":{"sourceLink":"https://example.com#L138-L138","name":"Lake.ApplicativeAsync.mk","line":138,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync.mk","doc":""},"Lake.ApplicativeAsync":{"sourceLink":"https://example.com#L138-L142","name":"Lake.ApplicativeAsync","line":138,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync","doc":""},"LT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1078-L1078","name":"LT.mk","line":1078,"kind":"ctor","docLink":"./Init/Prelude.html#LT.mk","doc":""},"LT.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1080-L1080","name":"LT.lt","line":1080,"kind":"def","docLink":"./Init/Prelude.html#LT.lt","doc":"The less-than relation: `x < y` "},"LT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1078-L1080","name":"LT","line":1078,"kind":"class","docLink":"./Init/Prelude.html#LT","doc":"`LT α` is the typeclass which supports the notation `x < y` where `x y : α`."},"LE.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1073-L1073","name":"LE.mk","line":1073,"kind":"ctor","docLink":"./Init/Prelude.html#LE.mk","doc":""},"LE.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1075-L1075","name":"LE.le","line":1075,"kind":"def","docLink":"./Init/Prelude.html#LE.le","doc":"The less-equal relation: `x ≤ y` "},"LE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1073-L1075","name":"LE","line":1073,"kind":"class","docLink":"./Init/Prelude.html#LE","doc":"`LE α` is the typeclass which supports the notation `x ≤ y` where `x y : α`."},"InvImage.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L123-L124","name":"InvImage.wf","line":123,"kind":"def","docLink":"./Init/WF.html#InvImage.wf","doc":""},"InvImage.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L120-L121","name":"InvImage.accessible","line":120,"kind":"def","docLink":"./Init/WF.html#InvImage.accessible","doc":""},"InvImage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L938-L939","name":"InvImage","line":938,"kind":"def","docLink":"./Init/Core.html#InvImage","doc":"The inverse image of `r : β → β → Prop` by a function `α → β` is the relation\n`s : α → α → Prop` defined by `s a b = r (f a) (f b)`.\n"},"Int.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L333-L335","name":"Int.toNat","line":333,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.toNat","doc":"Turns an integer into a natural number, negative numbers become\n`0`.\n\n```\n#eval (7 : Int).toNat -- 7\n#eval (0 : Int).toNat -- 0\n#eval (-7 : Int).toNat -- 0\n```\n"},"Int.subNatNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L86-L89","name":"Int.subNatNat","line":86,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.subNatNat","doc":"Subtraction of two natural numbers. "},"Int.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L142-L143","name":"Int.sub","line":142,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.sub","doc":"Subtraction of two integers.\n\n```\n#eval (63 : Int) - (6 : Int) -- 57\n#eval (7 : Int) - (0 : Int) -- 7\n#eval (0 : Int) - (7 : Int) -- -7\n```\n\nImplemented by efficient native code. "},"Int.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L170-L172","name":"Int.repr","line":170,"kind":"def","docLink":"./Init/Data/Repr.html#Int.repr","doc":""},"Int.rem_sign_dividend":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"Int.rem":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"Int.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L346-L348","name":"Int.pow","line":346,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.pow","doc":"Power of an integer to some natural number.\n\n```\n#eval (2 : Int) ^ 4 -- 16\n#eval (10 : Int) ^ 0 -- 1\n#eval (0 : Int) ^ 10 -- 0\n#eval (-7 : Int) ^ 3 -- -343\n```\n"},"Int.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L41-L42","name":"Int.ofNat","line":41,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.ofNat","doc":"A natural number is an integer (`0` to `∞`). "},"Int.negSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L43-L45","name":"Int.negSucc","line":43,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.negSucc","doc":"The negation of the successor of a natural number is an integer\n(`-1` to `-∞`). "},"Int.negOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L59-L61","name":"Int.negOfNat","line":59,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.negOfNat","doc":"Negation of a natural number. "},"Int.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L68-L71","name":"Int.neg","line":68,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.neg","doc":"Negation of an integer.\n\nImplemented by efficient native code. "},"Int.natAbs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L242-L245","name":"Int.natAbs","line":242,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.natAbs","doc":"Absolute value (`Nat`) of an integer.\n\n```\n#eval (7 : Int).natAbs -- 7\n#eval (0 : Int).natAbs -- 0\n#eval (-11 : Int).natAbs -- 11\n```\n\nImplemented by efficient native code. "},"Int.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L122-L127","name":"Int.mul","line":122,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mul","doc":"Multiplication of two integers.\n\n```\n#eval (63 : Int) * (6 : Int) -- 378\n#eval (6 : Int) * (-6 : Int) -- -36\n#eval (7 : Int) * (0 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L315-L319","name":"Int.mod","line":315,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mod","doc":"Integer modulo. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention\nto pair with `Int.div`, meaning that `a % b + b * (a / b) = a`\nunconditionally (see [`Int.mod_add_div`][theo mod_add_div]). In\nparticular, `a % 0 = a`.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) % (0 : Int) -- 7\n#eval (0 : Int) % (7 : Int) -- 0\n\n#eval (12 : Int) % (6 : Int) -- 0\n#eval (12 : Int) % (-6 : Int) -- 0\n#eval (-12 : Int) % (6 : Int) -- 0\n#eval (-12 : Int) % (-6 : Int) -- 0\n\n#eval (12 : Int) % (7 : Int) -- 5\n#eval (12 : Int) % (-7 : Int) -- 5\n#eval (-12 : Int) % (7 : Int) -- 2\n#eval (-12 : Int) % (-7 : Int) -- 2\n```\n\nImplemented by efficient native code. "},"Int.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L160-L160","name":"Int.lt","line":160,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.lt","doc":"Definition of `a < b`, encoded as `a + 1 ≤ b`. "},"Int.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L154-L154","name":"Int.le","line":154,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.le","doc":"Definition of `a ≤ b`, encoded as `b - a ≥ 0`. "},"Int.instSubInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L145-L146","name":"Int.instSubInt","line":145,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instSubInt","doc":""},"Int.instNegInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L82-L83","name":"Int.instNegInt","line":82,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instNegInt","doc":""},"Int.instMulInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L129-L130","name":"Int.instMulInt","line":129,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMulInt","doc":""},"Int.instModInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L321-L322","name":"Int.instModInt","line":321,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instModInt","doc":""},"Int.instMinInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L357-L357","name":"Int.instMinInt","line":357,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMinInt","doc":""},"Int.instMaxInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L359-L359","name":"Int.instMaxInt","line":359,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMaxInt","doc":""},"Int.instLawfulBEqIntInstBEqInstDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L353-L355","name":"Int.instLawfulBEqIntInstBEqInstDecidableEqInt","line":353,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLawfulBEqIntInstBEqInstDecidableEqInt","doc":""},"Int.instLTInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L162-L163","name":"Int.instLTInt","line":162,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLTInt","doc":""},"Int.instLEInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L156-L157","name":"Int.instLEInt","line":156,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLEInt","doc":""},"Int.instInhabitedInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L56-L56","name":"Int.instInhabitedInt","line":56,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instInhabitedInt","doc":""},"Int.instHPowIntNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L350-L351","name":"Int.instHPowIntNat","line":350,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instHPowIntNat","doc":""},"Int.instDivInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L284-L285","name":"Int.instDivInt","line":284,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDivInt","doc":""},"Int.instDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L187-L187","name":"Int.instDecidableEqInt","line":187,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDecidableEqInt","doc":""},"Int.instAddInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L108-L109","name":"Int.instAddInt","line":108,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instAddInt","doc":""},"Int.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L278-L282","name":"Int.div","line":278,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.div","doc":"Integer division. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention,\nmeaning that it rounds toward zero. Also note that division by zero\nis defined to equal zero.\n\nThe relation between integer division and modulo is found in [the\n`Int.mod_add_div` theorem in std][theo mod_add_div] which states\nthat `a % b + b * (a / b) = a`, unconditionally.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) / (0 : Int) -- 0\n#eval (0 : Int) / (7 : Int) -- 0\n\n#eval (12 : Int) / (6 : Int) -- 2\n#eval (12 : Int) / (-6 : Int) -- -2\n#eval (-12 : Int) / (6 : Int) -- -2\n#eval (-12 : Int) / (-6 : Int) -- 2\n\n#eval (12 : Int) / (7 : Int) -- 1\n#eval (12 : Int) / (-7 : Int) -- -1\n#eval (-12 : Int) / (7 : Int) -- -1\n#eval (-12 : Int) / (-7 : Int) -- 1\n```\n\nImplemented by efficient native code. "},"Int.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L228-L229","name":"Int.decLt","line":228,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLt","doc":"Decides whether `a < b`.\n\n```\n#eval `¬ ( (7 : Int) < 0 )` -- true\n#eval `¬ ( (0 : Int) < 0 )` -- true\n#eval `(7 : Int) < 10` -- true\n```\n\nImplemented by efficient native code. "},"Int.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L215-L216","name":"Int.decLe","line":215,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLe","doc":"Decides whether `a ≤ b`.\n\n```\n#eval ¬ ( (7 : Int) ≤ (0 : Int) ) -- true\n#eval (0 : Int) ≤ (0 : Int) -- true\n#eval (7 : Int) ≤ (10 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L176-L185","name":"Int.decEq","line":176,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.decEq","doc":"Decides equality between two `Int`s.\n\n```\n#eval (7 : Int) = (3 : Int) + (4 : Int) -- true\n#eval (6 : Int) = (3 : Int) * (2 : Int) -- true\n#eval ¬ (6 : Int) = (3 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L101-L106","name":"Int.add","line":101,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.add","doc":"Addition of two integers.\n\n```\n#eval (7 : Int) + (6 : Int) -- 13\n#eval (6 : Int) + (-6 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.NonNeg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L150-L151","name":"Int.NonNeg.mk","line":150,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg.mk","doc":"Sole constructor, proving that `ofNat n` is positive. "},"Int.NonNeg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L149-L151","name":"Int.NonNeg","line":149,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg","doc":"A proof that an `Int` is non-negative. "},"Int":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L40-L45","name":"Int","line":40,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int","doc":"The type of integers. 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No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"InstCombine.Bitvec.width":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"InstCombine.BaseType.bitvec":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"InstCombine.BaseType":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"Inhabited.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L670-L670","name":"Inhabited.mk","line":670,"kind":"ctor","docLink":"./Init/Prelude.html#Inhabited.mk","doc":""},"Inhabited.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L674-L674","name":"Inhabited.default","line":674,"kind":"def","docLink":"./Init/Prelude.html#Inhabited.default","doc":"`default` is a function that produces a \"default\" element of any\n`Inhabited` type. This element does not have any particular specified\nproperties, but it is often an all-zeroes value. "},"Inhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L670-L674","name":"Inhabited","line":670,"kind":"class","docLink":"./Init/Prelude.html#Inhabited","doc":"`Inhabited α` is a typeclass that says that `α` has a designated element,\ncalled `(default : α)`. This is sometimes referred to as a \"pointed type\".\n\nThis class is used by functions that need to return a value of the type\nwhen called \"out of domain\". For example, `Array.get! arr i : α` returns\na value of type `α` when `arr : Array α`, but if `i` is not in range of\nthe array, it reports a panic message, but this does not halt the program,\nso it must still return a value of type `α` (and in fact this is required\nfor logical consistency), so in this case it returns `default`.\n"},"Index":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"Iff.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L666-L669","name":"Iff.trans","line":666,"kind":"theorem","docLink":"./Init/Core.html#Iff.trans","doc":""},"Iff.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L671-L672","name":"Iff.symm","line":671,"kind":"theorem","docLink":"./Init/Core.html#Iff.symm","doc":""},"Iff.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1175-L1176","name":"Iff.subst","line":1175,"kind":"theorem","docLink":"./Init/Core.html#Iff.subst","doc":"Iff can now be used to do substitutions in a calculation "},"Iff.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L663-L664","name":"Iff.rfl","line":663,"kind":"theorem","docLink":"./Init/Core.html#Iff.rfl","doc":""},"Iff.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L660-L661","name":"Iff.refl","line":660,"kind":"theorem","docLink":"./Init/Core.html#Iff.refl","doc":""},"Iff.of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L677-L678","name":"Iff.of_eq","line":677,"kind":"theorem","docLink":"./Init/Core.html#Iff.of_eq","doc":""},"Iff.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L92-L92","name":"Iff.mpr","line":92,"kind":"def","docLink":"./Init/Core.html#Iff.mpr","doc":"Modus ponens for if and only if, reversed. If `a ↔ b` and `b`, then `a`. "},"Iff.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L90-L90","name":"Iff.mp","line":90,"kind":"def","docLink":"./Init/Core.html#Iff.mp","doc":"Modus ponens for if and only if. If `a ↔ b` and `a`, then `b`. "},"Iff.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L88-L88","name":"Iff.intro","line":88,"kind":"ctor","docLink":"./Init/Core.html#Iff.intro","doc":"If `a → b` and `b → a` then `a` and `b` are equivalent. "},"Iff.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L674-L675","name":"Iff.comm","line":674,"kind":"theorem","docLink":"./Init/Core.html#Iff.comm","doc":""},"Iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L86-L92","name":"Iff","line":86,"kind":"structure","docLink":"./Init/Core.html#Iff","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"Id.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L27-L27","name":"Id.run","line":27,"kind":"def","docLink":"./Init/Control/Id.html#Id.run","doc":""},"Id.pure_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L93-L93","name":"Id.pure_eq","line":93,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.pure_eq","doc":""},"Id.map_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L91-L91","name":"Id.map_eq","line":91,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.map_eq","doc":""},"Id.instOfNatId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L29-L30","name":"Id.instOfNatId","line":29,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instOfNatId","doc":""},"Id.instMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L18-L21","name":"Id.instMonadId","line":18,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instMonadId","doc":""},"Id.instLawfulMonadIdInstMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L95-L96","name":"Id.instLawfulMonadIdInstMonadId","line":95,"kind":"instance","docLink":"./Init/Control/Lawful.html#Id.instLawfulMonadIdInstMonadId","doc":""},"Id.hasBind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L23-L24","name":"Id.hasBind","line":23,"kind":"def","docLink":"./Init/Control/Id.html#Id.hasBind","doc":""},"Id.finally":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L191-L195","name":"Id.finally","line":191,"kind":"instance","docLink":"./Init/Control/Except.html#Id.finally","doc":""},"Id.bind_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L92-L92","name":"Id.bind_eq","line":92,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.bind_eq","doc":""},"Id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L13-L13","name":"Id","line":13,"kind":"def","docLink":"./Init/Control/Id.html#Id","doc":""},"IO.withStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L513-L518","name":"IO.withStdout","line":513,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdout","doc":""},"IO.withStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L509-L511","name":"IO.withStdin","line":509,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdin","doc":""},"IO.withStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L520-L522","name":"IO.withStderr","line":520,"kind":"def","docLink":"./Init/System/IO.html#IO.withStderr","doc":""},"IO.waitAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L215-L217","name":"IO.waitAny","line":215,"kind":"opaque","docLink":"./Init/System/IO.html#IO.waitAny","doc":"Wait until any of the tasks in the given list has finished, then return its result. "},"IO.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L208-L209","name":"IO.wait","line":208,"kind":"opaque","docLink":"./Init/System/IO.html#IO.wait","doc":"Wait for the task to finish, then return its result. "},"IO.userError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IOError.lean#L57-L58","name":"IO.userError","line":57,"kind":"def","docLink":"./Init/System/IOError.html#IO.userError","doc":""},"IO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L77-L78","name":"IO.toEIO","line":77,"kind":"def","docLink":"./Init/System/IO.html#IO.toEIO","doc":""},"IO.throwServerError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Utils.lean#L15-L16","name":"IO.throwServerError","line":15,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.throwServerError","doc":""},"IO.stdGenRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L115-L117","name":"IO.stdGenRef","line":115,"kind":"opaque","docLink":"./Init/Data/Random.html#IO.stdGenRef","doc":""},"IO.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L178-L180","name":"IO.sleep","line":178,"kind":"def","docLink":"./Init/System/IO.html#IO.sleep","doc":""},"IO.setStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L316-L316","name":"IO.setStdout","line":316,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdout","doc":"Replaces the stdout stream of the current thread and returns its previous value. "},"IO.setStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L314-L314","name":"IO.setStdin","line":314,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdin","doc":"Replaces the stdin stream of the current thread and returns its previous value. "},"IO.setStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L318-L318","name":"IO.setStderr","line":318,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStderr","doc":"Replaces the stderr stream of the current thread and returns its previous value. "},"IO.setRandSeed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L119-L120","name":"IO.setRandSeed","line":119,"kind":"def","docLink":"./Init/Data/Random.html#IO.setRandSeed","doc":""},"IO.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L685-L686","name":"IO.setAccessRights","line":685,"kind":"def","docLink":"./Init/System/IO.html#IO.setAccessRights","doc":""},"IO.rand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L122-L126","name":"IO.rand","line":122,"kind":"def","docLink":"./Init/Data/Random.html#IO.rand","doc":""},"IO.println":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L528-L529","name":"IO.println","line":528,"kind":"def","docLink":"./Init/System/IO.html#IO.println","doc":""},"IO.print":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L524-L526","name":"IO.print","line":524,"kind":"def","docLink":"./Init/System/IO.html#IO.print","doc":""},"IO.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L160-L163","name":"IO.ofExcept","line":160,"kind":"def","docLink":"./Init/System/IO.html#IO.ofExcept","doc":""},"IO.monoNanosNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L172-L172","name":"IO.monoNanosNow","line":172,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoNanosNow","doc":"Monotonically increasing time since an unspecified past point in nanoseconds. No relation to wall clock time. "},"IO.monoMsNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L169-L169","name":"IO.monoMsNow","line":169,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoMsNow","doc":"Monotonically increasing time since an unspecified past point in milliseconds. No relation to wall clock time. "},"IO.mkRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L693-L694","name":"IO.mkRef","line":693,"kind":"def","docLink":"./Init/System/IO.html#IO.mkRef","doc":""},"IO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L195-L196","name":"IO.mapTasks","line":195,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTasks","doc":"`IO` specialization of `EIO.mapTasks`. "},"IO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L187-L188","name":"IO.mapTask","line":187,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTask","doc":"`IO` specialization of `EIO.mapTask`. "},"IO.lazyPure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L165-L166","name":"IO.lazyPure","line":165,"kind":"def","docLink":"./Init/System/IO.html#IO.lazyPure","doc":""},"IO.iterate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L320-L324","name":"IO.iterate","line":320,"kind":"opaque","docLink":"./Init/System/IO.html#IO.iterate","doc":""},"IO.instNonemptyPromise":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L31-L32","name":"IO.instNonemptyPromise","line":31,"kind":"instance","docLink":"./Init/System/Promise.html#IO.instNonemptyPromise","doc":""},"IO.instNonemptyMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L84-L84","name":"IO.instNonemptyMutex","line":84,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyMutex","doc":""},"IO.instNonemptyCondvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L50-L50","name":"IO.instNonemptyCondvar","line":50,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyCondvar","doc":""},"IO.instNonemptyChannel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L32-L33","name":"IO.instNonemptyChannel","line":32,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instNonemptyChannel","doc":""},"IO.instNonemptyBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L21-L21","name":"IO.instNonemptyBaseMutex","line":21,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyBaseMutex","doc":""},"IO.instMonadLiftSTRealWorldBaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L691-L691","name":"IO.instMonadLiftSTRealWorldBaseIO","line":691,"kind":"instance","docLink":"./Init/System/IO.html#IO.instMonadLiftSTRealWorldBaseIO","doc":""},"IO.instInhabitedError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IOError.lean#L54-L54","name":"IO.instInhabitedError","line":54,"kind":"instance","docLink":"./Init/System/IOError.html#IO.instInhabitedError","doc":""},"IO.instForInSync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L134-L135","name":"IO.instForInSync","line":134,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instForInSync","doc":"`for msg in ch.sync do ...` receives all messages in the channel until it is closed. "},"IO.instCoeOutMutexBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L86-L86","name":"IO.instCoeOutMutexBaseMutex","line":86,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instCoeOutMutexBaseMutex","doc":""},"IO.initializing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L102-L102","name":"IO.initializing","line":102,"kind":"opaque","docLink":"./Init/System/IO.html#IO.initializing","doc":"Programs can execute IO actions during initialization that occurs before\nthe `main` function is executed. The attribute `[init ]` specifies\nwhich IO action is executed to set the value of an opaque constant.\n\nThe action `initializing` returns `true` iff it is invoked during initialization. "},"IO.hasFinished":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L205-L205","name":"IO.hasFinished","line":205,"kind":"opaque","docLink":"./Init/System/IO.html#IO.hasFinished","doc":"Check if the task has finished execution, at which point calling `Task.get` will return immediately. "},"IO.getStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L310-L310","name":"IO.getStdout","line":310,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdout","doc":""},"IO.getStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L309-L309","name":"IO.getStdin","line":309,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdin","doc":""},"IO.getStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L311-L311","name":"IO.getStderr","line":311,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStderr","doc":""},"IO.getRandomBytes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L176-L176","name":"IO.getRandomBytes","line":176,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getRandomBytes","doc":"Read bytes from a system entropy source. Not guaranteed to be cryptographically secure.\nIf `nBytes = 0`, return immediately with an empty buffer. "},"IO.getNumHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L220-L220","name":"IO.getNumHeartbeats","line":220,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getNumHeartbeats","doc":"Helper method for implementing \"deterministic\" timeouts. It is the number of \"small\" memory allocations performed by the current execution thread. "},"IO.getEnv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L366-L366","name":"IO.getEnv","line":366,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getEnv","doc":""},"IO.eprintln":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L535-L536","name":"IO.eprintln","line":535,"kind":"def","docLink":"./Init/System/IO.html#IO.eprintln","doc":""},"IO.eprint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L531-L533","name":"IO.eprint","line":531,"kind":"def","docLink":"./Init/System/IO.html#IO.eprint","doc":""},"IO.currentDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L368-L368","name":"IO.currentDir","line":368,"kind":"opaque","docLink":"./Init/System/IO.html#IO.currentDir","doc":""},"IO.checkCanceled":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L199-L199","name":"IO.checkCanceled","line":199,"kind":"opaque","docLink":"./Init/System/IO.html#IO.checkCanceled","doc":"Check if the task's cancellation flag has been set by calling `IO.cancel` or dropping the last reference to the task. "},"IO.cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L202-L202","name":"IO.cancel","line":202,"kind":"opaque","docLink":"./Init/System/IO.html#IO.cancel","doc":"Request cooperative cancellation of the task. The task must explicitly call `IO.checkCanceled` to react to the cancellation. "},"IO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L191-L192","name":"IO.bindTask","line":191,"kind":"def","docLink":"./Init/System/IO.html#IO.bindTask","doc":"`IO` specialization of `EIO.bindTask`. "},"IO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L183-L184","name":"IO.asTask","line":183,"kind":"def","docLink":"./Init/System/IO.html#IO.asTask","doc":"`IO` specialization of `EIO.asTask`. "},"IO.appPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L367-L367","name":"IO.appPath","line":367,"kind":"opaque","docLink":"./Init/System/IO.html#IO.appPath","doc":""},"IO.appDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L546-L550","name":"IO.appDir","line":546,"kind":"def","docLink":"./Init/System/IO.html#IO.appDir","doc":""},"IO.Ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L689-L689","name":"IO.Ref","line":689,"kind":"def","docLink":"./Init/System/IO.html#IO.Ref","doc":"References "},"IO.RealWorld":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L23-L23","name":"IO.RealWorld","line":23,"kind":"def","docLink":"./Init/System/IO.html#IO.RealWorld","doc":"Like .\nMakes sure we never reorder `IO` operations.\n\nTODO: mark opaque "},"IO.Promise.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L55-L57","name":"IO.Promise.result","line":55,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.result","doc":"The result task of a `Promise`.\n\nThe task blocks until `Promise.resolve` is called.\n"},"IO.Promise.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L44-L44","name":"IO.Promise.resolve","line":44,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.resolve","doc":"Resolves a `Promise`.\n\nOnly the first call to this function has an effect.\n"},"IO.Promise.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L36-L36","name":"IO.Promise.new","line":36,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.new","doc":"Creates a new `Promise`. "},"IO.Promise":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L29-L29","name":"IO.Promise","line":29,"kind":"def","docLink":"./Init/System/Promise.html#IO.Promise","doc":"`Promise α` allows you to create a `Task α` whose value is provided later by calling `resolve`.\n\nTypical usage is as follows:\n1. `let promise ← Promise.new` creates a promise\n2. `promise.result : Task α` can now be passed around\n3. `promise.result.get` blocks until the promise is resolved\n4. `promise.resolve a` resolves the promise\n5. `promise.result.get` now returns `a`\n\nEvery promise must eventually be resolved.\nOtherwise the memory used for the promise will be leaked,\nand any tasks depending on the promise's result will wait forever.\n"},"IO.Process.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L619-L619","name":"IO.Process.spawn","line":619,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.spawn","doc":""},"IO.Process.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L651-L655","name":"IO.Process.run","line":651,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.run","doc":"Run process to completion and return stdout on success. "},"IO.Process.output":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L642-L648","name":"IO.Process.output","line":642,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.output","doc":"Run process to completion and capture output. "},"IO.Process.getPID":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L581-L581","name":"IO.Process.getPID","line":581,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.getPID","doc":"Returns the process ID of the current process. "},"IO.Process.exit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L657-L657","name":"IO.Process.exit","line":657,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.exit","doc":""},"IO.Process.StdioConfig.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L597-L597","name":"IO.Process.StdioConfig.stdout","line":597,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdout","doc":"Configuration for the process' stdout handle. "},"IO.Process.StdioConfig.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L595-L595","name":"IO.Process.StdioConfig.stdin","line":595,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdin","doc":"Configuration for the process' stdin handle. "},"IO.Process.StdioConfig.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L599-L599","name":"IO.Process.StdioConfig.stderr","line":599,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stderr","doc":"Configuration for the process' stderr handle. "},"IO.Process.StdioConfig.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.Process.StdioConfig.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.mk","doc":""},"IO.Process.StdioConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L593-L599","name":"IO.Process.StdioConfig","line":593,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.StdioConfig","doc":""},"IO.Process.Stdio.toHandleType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L588-L591","name":"IO.Process.Stdio.toHandleType","line":588,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Stdio.toHandleType","doc":""},"IO.Process.Stdio.piped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L584-L584","name":"IO.Process.Stdio.piped","line":584,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.piped","doc":""},"IO.Process.Stdio.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L586-L586","name":"IO.Process.Stdio.null","line":586,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.null","doc":""},"IO.Process.Stdio.inherit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L585-L585","name":"IO.Process.Stdio.inherit","line":585,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.inherit","doc":""},"IO.Process.Stdio":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L583-L586","name":"IO.Process.Stdio","line":583,"kind":"inductive","docLink":"./Init/System/IO.html#IO.Process.Stdio","doc":""},"IO.Process.SpawnArgs.setsid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L611-L611","name":"IO.Process.SpawnArgs.setsid","line":611,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.setsid","doc":"Start process in new session and process group using `setsid`. Currently a no-op on non-POSIX platforms. "},"IO.Process.SpawnArgs.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.Process.SpawnArgs.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.mk","doc":""},"IO.Process.SpawnArgs.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L609-L609","name":"IO.Process.SpawnArgs.env","line":609,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.env","doc":"Add or remove environment variables for the process. "},"IO.Process.SpawnArgs.cwd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L607-L607","name":"IO.Process.SpawnArgs.cwd","line":607,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cwd","doc":"Working directory for the process. Inherit from current process if `none`. "},"IO.Process.SpawnArgs.cmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L603-L603","name":"IO.Process.SpawnArgs.cmd","line":603,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cmd","doc":"Command name. "},"IO.Process.SpawnArgs.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L605-L605","name":"IO.Process.SpawnArgs.args","line":605,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.args","doc":"Arguments for the process "},"IO.Process.SpawnArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L601-L611","name":"IO.Process.SpawnArgs","line":601,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs","doc":""},"IO.Process.Output.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L638-L638","name":"IO.Process.Output.stdout","line":638,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stdout","doc":""},"IO.Process.Output.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L639-L639","name":"IO.Process.Output.stderr","line":639,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stderr","doc":""},"IO.Process.Output.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.Process.Output.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Output.mk","doc":""},"IO.Process.Output.exitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L637-L637","name":"IO.Process.Output.exitCode","line":637,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.exitCode","doc":""},"IO.Process.Output":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L636-L639","name":"IO.Process.Output","line":636,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Output","doc":""},"IO.Process.Child.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L621-L621","name":"IO.Process.Child.wait","line":621,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.wait","doc":""},"IO.Process.Child.takeStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L633-L634","name":"IO.Process.Child.takeStdin","line":633,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.takeStdin","doc":"Extract the `stdin` field from a `Child` object, allowing them to be freed independently.\nThis operation is necessary for closing the child process' stdin while still holding on to a process handle,\ne.g. for `Child.wait`. A file handle is closed when all references to it are dropped, which without this\noperation includes the `Child` object.\n"},"IO.Process.Child.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L616-L616","name":"IO.Process.Child.stdout","line":616,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdout","doc":""},"IO.Process.Child.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L615-L615","name":"IO.Process.Child.stdin","line":615,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdin","doc":""},"IO.Process.Child.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L617-L617","name":"IO.Process.Child.stderr","line":617,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stderr","doc":""},"IO.Process.Child.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L614-L614","name":"IO.Process.Child.mk","line":614,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Child.mk","doc":""},"IO.Process.Child.kill":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L625-L625","name":"IO.Process.Child.kill","line":625,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.kill","doc":"Terminates the child process using the SIGTERM signal or a platform analogue.\nIf the process was started using `SpawnArgs.setsid`, terminates the entire process group instead. "},"IO.Process.Child":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L614-L617","name":"IO.Process.Child","line":614,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Child","doc":""},"IO.Prim.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L683-L683","name":"IO.Prim.setAccessRights","line":683,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Prim.setAccessRights","doc":""},"IO.Mutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L89-L90","name":"IO.Mutex.new","line":89,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.new","doc":"Creates a new mutex. "},"IO.Mutex.mutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L83-L83","name":"IO.Mutex.mutex","line":83,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.mutex","doc":""},"IO.Mutex.atomicallyOnce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L113-L119","name":"IO.Mutex.atomicallyOnce","line":113,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomicallyOnce","doc":"`mutex.atomicallyOnce condvar pred k` runs `k`,\nwaiting on `condvar` until `pred` returns true.\nBoth `k` and `pred` have access to the mutex's state.\n"},"IO.Mutex.atomically":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L100-L106","name":"IO.Mutex.atomically","line":100,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomically","doc":"`mutex.atomically k` runs `k` with access to the mutex's state while locking the mutex. 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all written outputs with `pre`. 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"},"IO.FS.Stream.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L296-L296","name":"IO.FS.Stream.read","line":296,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.read","doc":"Read up to the given number of bytes from the stream.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.putStrLn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L427-L428","name":"IO.FS.Stream.putStrLn","line":427,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStrLn","doc":""},"IO.FS.Stream.putStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L304-L304","name":"IO.FS.Stream.putStr","line":304,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStr","doc":""},"IO.FS.Stream.ofHandle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L700-L706","name":"IO.FS.Stream.ofHandle","line":700,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofHandle","doc":""},"IO.FS.Stream.ofBuffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L712-L729","name":"IO.FS.Stream.ofBuffer","line":712,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofBuffer","doc":""},"IO.FS.Stream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.mk","doc":""},"IO.FS.Stream.getLine":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L303-L303","name":"IO.FS.Stream.getLine","line":303,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.getLine","doc":"Read text up to (including) the next line break from the stream.\nIf the returned string is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.flush":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L290-L290","name":"IO.FS.Stream.flush","line":290,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.flush","doc":""},"IO.FS.Stream.chainRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Utils.lean#L26-L38","name":"IO.FS.Stream.chainRight","line":26,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainRight","doc":"Chains two streams by creating a new stream s.t. writing to it\njust writes to `a` but reading from it also duplicates the read output\ninto `b`, c.f. `a | tee b` on Unix.\nNB: if `a` is written to but this stream is never read from,\nthe output will *not* be duplicated. Use this if you only care\nabout the data that was actually read. "},"IO.FS.Stream.chainLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Utils.lean#L41-L51","name":"IO.FS.Stream.chainLeft","line":41,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainLeft","doc":"Like `tee a | b` on Unix. See `chainOut`. "},"IO.FS.Stream.Buffer.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L710-L710","name":"IO.FS.Stream.Buffer.pos","line":710,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.pos","doc":""},"IO.FS.Stream.Buffer.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.Buffer.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.mk","doc":""},"IO.FS.Stream.Buffer.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L709-L709","name":"IO.FS.Stream.Buffer.data","line":709,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.data","doc":""},"IO.FS.Stream.Buffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L708-L710","name":"IO.FS.Stream.Buffer","line":708,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer","doc":""},"IO.FS.Stream":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L289-L305","name":"IO.FS.Stream","line":289,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream","doc":"A pure-Lean abstraction of POSIX streams. We use `Stream`s for the standard streams stdin/stdout/stderr so we can\ncapture output of `#eval` commands into memory. "},"IO.FS.Mode.writeNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L256-L264","name":"IO.FS.Mode.writeNew","line":256,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.writeNew","doc":"New file opened for writing.\nOn open, create a new file with the stream positioned at the start.\nErrors if the file already exists.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC | O_EXCL`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L247-L255","name":"IO.FS.Mode.write","line":247,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.write","doc":"File opened for writing.\nOn open, truncate an existing file to zero length or create a new file.\nThe stream is positioned at the beginning of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.readWrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L265-L273","name":"IO.FS.Mode.readWrite","line":265,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.readWrite","doc":"File opened for reading and writing.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDWR`\n* `fdopen` mode: `r+`\n"},"IO.FS.Mode.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L238-L246","name":"IO.FS.Mode.read","line":238,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.read","doc":"File opened for reading.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDONLY`\n* `fdopen` mode: `r`\n"},"IO.FS.Mode.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L274-L282","name":"IO.FS.Mode.append","line":274,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.append","doc":"File opened for writing.\nOn open, create a new file if it does not exist.\nThe stream is positioned at the end of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_APPEND`\n* `fdopen` mode: `a`\n"},"IO.FS.Mode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L237-L282","name":"IO.FS.Mode","line":237,"kind":"inductive","docLink":"./Init/System/IO.html#IO.FS.Mode","doc":"The mode of a file handle (i.e., a set of `open` flags and an `fdopen` mode).\n\nAll modes do not translate line endings (i.e., `O_BINARY` on Windows) and\nare not inherited across process creation (i.e., `O_NOINHERIT` on Windows,\n`O_CLOEXEC` elsewhere).\n\n**References:**\n* Windows:\n [`_open`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/open-wopen?view=msvc-170),\n [`_fdopen`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/fdopen-wfdopen?view=msvc-170)\n* Linux:\n [`open`](https://linux.die.net/man/2/open),\n [`fdopen`](https://linux.die.net/man/3/fdopen)\n"},"IO.FS.Metadata.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L458-L458","name":"IO.FS.Metadata.type","line":458,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.type","doc":""},"IO.FS.Metadata.modified":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L456-L456","name":"IO.FS.Metadata.modified","line":456,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.modified","doc":""},"IO.FS.Metadata.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Metadata.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Metadata.mk","doc":""},"IO.FS.Metadata.byteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L457-L457","name":"IO.FS.Metadata.byteSize","line":457,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.byteSize","doc":""},"IO.FS.Metadata.accessed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L455-L455","name":"IO.FS.Metadata.accessed","line":455,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.accessed","doc":""},"IO.FS.Metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L453-L459","name":"IO.FS.Metadata","line":453,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Metadata","doc":""},"IO.FS.Handle.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L338-L338","name":"IO.FS.Handle.write","line":338,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.write","doc":""},"IO.FS.Handle.readToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L389-L394","name":"IO.FS.Handle.readToEnd.loop","line":389,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd.loop","doc":""},"IO.FS.Handle.readToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L388-L395","name":"IO.FS.Handle.readToEnd","line":388,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd","doc":""},"IO.FS.Handle.readBinToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L380-L385","name":"IO.FS.Handle.readBinToEnd.loop","line":380,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd.loop","doc":""},"IO.FS.Handle.readBinToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L379-L386","name":"IO.FS.Handle.readBinToEnd","line":379,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd","doc":""},"IO.FS.Handle.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L337-L337","name":"IO.FS.Handle.read","line":337,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.read","doc":"Read up to the given number of bytes from the handle.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a handle, so further reads may block and return more 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"},"IO.Condvar.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L54-L54","name":"IO.Condvar.new","line":54,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.Condvar.new","doc":"Creates a new condition variable. "},"IO.Condvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L48-L48","name":"IO.Condvar","line":48,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Condvar","doc":"Condition variable. "},"IO.Channel.sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L113-L113","name":"IO.Channel.sync","line":113,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.sync","doc":"Accesses synchronous (blocking) version of channel operations.\n\nFor example, `ch.sync.recv?` blocks until the next message,\nand `for msg in ch.sync do ...` iterates synchronously over the channel.\nThese functions should only be used in dedicated threads.\n"},"IO.Channel.send":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L44-L52","name":"IO.Channel.send","line":44,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.send","doc":"Sends a message on an `Channel`.\n\nThis function does not block.\n"},"IO.Channel.recvAllCurrent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L99-L101","name":"IO.Channel.recvAllCurrent","line":99,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recvAllCurrent","doc":"Receives all currently queued messages from the channel.\n\nThose messages are dequeued and will not be returned by `recv?`.\n"},"IO.Channel.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L70-L81","name":"IO.Channel.recv?","line":70,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recv?","doc":"Receives a message, without blocking.\nThe returned task waits for the message.\nEvery message is only received once.\n\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L36-L37","name":"IO.Channel.new","line":36,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.new","doc":"Creates a new `Channel`. "},"IO.Channel.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L22-L22","name":"IO.Channel.instInhabitedState","line":22,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.Channel.instInhabitedState","doc":""},"IO.Channel.forAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L88-L92","name":"IO.Channel.forAsync","line":88,"kind":"opaque","docLink":"./Init/Data/Channel.html#IO.Channel.forAsync","doc":"`ch.forAsync f` calls `f` for every messages received on `ch`.\n\nNote that if this function is called twice, each `forAsync` only gets half the messages.\n"},"IO.Channel.close":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L57-L61","name":"IO.Channel.close","line":57,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.close","doc":"Closes an `Channel`.\n"},"IO.Channel.Sync.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L121-L122","name":"IO.Channel.Sync.recv?","line":121,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync.recv?","doc":"Synchronously receives a message from the channel.\n\nEvery message is only received once.\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.Sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L104-L104","name":"IO.Channel.Sync","line":104,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync","doc":"Type tag for synchronous (blocking) operations on a `Channel`. "},"IO.Channel.State.values":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L19-L19","name":"IO.Channel.State.values","line":19,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.values","doc":""},"IO.Channel.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L18-L18","name":"IO.Channel.State.mk","line":18,"kind":"ctor","docLink":"./Init/Data/Channel.html#IO.Channel.State.mk","doc":""},"IO.Channel.State.consumers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L20-L20","name":"IO.Channel.State.consumers","line":20,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.consumers","doc":""},"IO.Channel.State.closed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L21-L21","name":"IO.Channel.State.closed","line":21,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.closed","doc":""},"IO.Channel.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L18-L22","name":"IO.Channel.State","line":18,"kind":"structure","docLink":"./Init/Data/Channel.html#IO.Channel.State","doc":"Internal state of an `Channel`.\n\nWe maintain the invariant that at all times either `consumers` or `values` is empty.\n"},"IO.Channel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L30-L30","name":"IO.Channel","line":30,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel","doc":"FIFO channel with unbounded buffer, where `recv?` returns a `Task`.\n\nA channel can be closed. Once it is closed, all `send`s are ignored, and\n`recv?` returns `none` once the queue is empty.\n"},"IO.BaseMutex.unlock":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L43-L43","name":"IO.BaseMutex.unlock","line":43,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.unlock","doc":"Unlocks a `BaseMutex`.\n\nThe current thread must have already locked the mutex.\nUnlocking an unlocked mutex is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L25-L25","name":"IO.BaseMutex.new","line":25,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.new","doc":"Creates a new `BaseMutex`. "},"IO.BaseMutex.lock":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L34-L34","name":"IO.BaseMutex.lock","line":34,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.lock","doc":"Locks a `BaseMutex`. Waits until no other thread has locked the mutex.\n\nThe current thread must not have already locked the mutex.\nReentrant locking is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L19-L19","name":"IO.BaseMutex","line":19,"kind":"def","docLink":"./Init/System/Mutex.html#IO.BaseMutex","doc":"Mutual exclusion primitive (a lock).\n\nIf you want to guard shared state, use `Mutex α` instead.\n"},"IO.AtomicT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L97-L97","name":"IO.AtomicT","line":97,"kind":"def","docLink":"./Init/System/Mutex.html#IO.AtomicT","doc":"`AtomicT α m` is the monad that can be atomically executed inside a `Mutex α`,\nwith outside monad `m`.\nThe action has access to the state `α` of the mutex (via `get` and `set`).\n"},"IO.AsyncList.waitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L70-L80","name":"IO.AsyncList.waitUntil","line":70,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitUntil","doc":"Spawns a `Task` returning the prefix of elements up to (including) the first element for which `p` is true.\nWhen `p` is not true of any element, it returns the entire list. "},"IO.AsyncList.waitHead?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L112-L113","name":"IO.AsyncList.waitHead?","line":112,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitHead?","doc":""},"IO.AsyncList.waitFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L89-L97","name":"IO.AsyncList.waitFind?","line":89,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitFind?","doc":"Spawns a `Task` acting like `List.find?` but which will wait for tail evalution\nwhen necessary to traverse the list. If the tail terminates before a matching element\nis found, the task throws the terminating value. "},"IO.AsyncList.waitAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L83-L84","name":"IO.AsyncList.waitAll","line":83,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitAll","doc":"Spawns a `Task` waiting on all elements. "},"IO.AsyncList.unfoldAsync.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L45-L51","name":"IO.AsyncList.unfoldAsync.step","line":45,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync.step","doc":""},"IO.AsyncList.unfoldAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L43-L54","name":"IO.AsyncList.unfoldAsync","line":43,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync","doc":"A stateful step computation `f` is applied iteratively, forming an async\nstream. The stream ends once `f` returns `none` for the first time.\n\nFor cooperatively cancelling an ongoing computation, we recommend referencing\na cancellation token in `f` and checking it when appropriate. "},"IO.AsyncList.ofList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L33-L34","name":"IO.AsyncList.ofList","line":33,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.ofList","doc":""},"IO.AsyncList.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L19-L19","name":"IO.AsyncList.nil","line":19,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.nil","doc":""},"IO.AsyncList.instInhabitedAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L23-L23","name":"IO.AsyncList.instInhabitedAsyncList","line":23,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instInhabitedAsyncList","doc":""},"IO.AsyncList.instCoeListAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L36-L36","name":"IO.AsyncList.instCoeListAsyncList","line":36,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instCoeListAsyncList","doc":""},"IO.AsyncList.instAppendAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L31-L31","name":"IO.AsyncList.instAppendAsyncList","line":31,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instAppendAsyncList","doc":""},"IO.AsyncList.getFinishedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L100-L110","name":"IO.AsyncList.getFinishedPrefix","line":100,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getFinishedPrefix","doc":"Retrieve the already-computed prefix of the list. If computation has finished with an error, return it as well. "},"IO.AsyncList.getAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L58-L66","name":"IO.AsyncList.getAll","line":58,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getAll","doc":"The computed, synchronous list. If an async tail was present, returns also\nits terminating value. "},"IO.AsyncList.delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L18-L18","name":"IO.AsyncList.delayed","line":18,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.delayed","doc":""},"IO.AsyncList.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L17-L17","name":"IO.AsyncList.cons","line":17,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.cons","doc":""},"IO.AsyncList.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L26-L29","name":"IO.AsyncList.append","line":26,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.append","doc":""},"IO.AsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L16-L19","name":"IO.AsyncList","line":16,"kind":"inductive","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList","doc":"An async IO list is like a lazy list but instead of being *unevaluated* `Thunk`s,\n`delayed` suffixes are `Task`s *being evaluated asynchronously*. A delayed suffix can signal the end\nof computation (successful or due to a failure) with a terminating value of type `ε`. "},"IO.AccessRight.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L663-L663","name":"IO.AccessRight.write","line":663,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.write","doc":""},"IO.AccessRight.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L662-L662","name":"IO.AccessRight.read","line":662,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.read","doc":""},"IO.AccessRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.AccessRight.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.AccessRight.mk","doc":""},"IO.AccessRight.flags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L666-L670","name":"IO.AccessRight.flags","line":666,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.flags","doc":""},"IO.AccessRight.execution":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L664-L664","name":"IO.AccessRight.execution","line":664,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.execution","doc":""},"IO.AccessRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L661-L664","name":"IO.AccessRight","line":661,"kind":"structure","docLink":"./Init/System/IO.html#IO.AccessRight","doc":""},"IO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L66-L66","name":"IO","line":66,"kind":"def","docLink":"./Init/System/IO.html#IO","doc":""},"Hashable.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3347-L3347","name":"Hashable.mk","line":3347,"kind":"ctor","docLink":"./Init/Prelude.html#Hashable.mk","doc":""},"Hashable.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3349-L3349","name":"Hashable.hash","line":3349,"kind":"def","docLink":"./Init/Prelude.html#Hashable.hash","doc":"Hashes the value `a : α` into a `UInt64`. "},"Hashable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3347-L3349","name":"Hashable","line":3347,"kind":"class","docLink":"./Init/Prelude.html#Hashable","doc":"A class for types that can be hashed into a `UInt64`. "},"HasEquiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L338-L338","name":"HasEquiv.mk","line":338,"kind":"ctor","docLink":"./Init/Core.html#HasEquiv.mk","doc":""},"HasEquiv.Equiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L341-L341","name":"HasEquiv.Equiv","line":341,"kind":"def","docLink":"./Init/Core.html#HasEquiv.Equiv","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"HasEquiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L338-L341","name":"HasEquiv","line":338,"kind":"class","docLink":"./Init/Core.html#HasEquiv","doc":"`HasEquiv α` is the typeclass which supports the notation `x ≈ y` where `x y : α`."},"HXor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1234-L1234","name":"HXor.mk","line":1234,"kind":"ctor","docLink":"./Init/Prelude.html#HXor.mk","doc":""},"HXor.hXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1237-L1237","name":"HXor.hXor","line":1237,"kind":"def","docLink":"./Init/Prelude.html#HXor.hXor","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1234-L1237","name":"HXor","line":1234,"kind":"class","docLink":"./Init/Prelude.html#HXor","doc":"The typeclass behind the notation `a ^^^ b : γ` where `a : α`, `b : β`. "},"HSub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1147-L1147","name":"HSub.mk","line":1147,"kind":"ctor","docLink":"./Init/Prelude.html#HSub.mk","doc":""},"HSub.hSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1151-L1151","name":"HSub.hSub","line":1151,"kind":"def","docLink":"./Init/Prelude.html#HSub.hSub","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"HSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1147-L1151","name":"HSub","line":1147,"kind":"class","docLink":"./Init/Prelude.html#HSub","doc":"The notation typeclass for heterogeneous subtraction.\nThis enables the notation `a - b : γ` where `a : α`, `b : β`.\n"},"HShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1255-L1255","name":"HShiftRight.mk","line":1255,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftRight.mk","doc":""},"HShiftRight.hShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1260-L1260","name":"HShiftRight.hShiftRight","line":1260,"kind":"def","docLink":"./Init/Prelude.html#HShiftRight.hShiftRight","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"HShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1255-L1260","name":"HShiftRight","line":1255,"kind":"class","docLink":"./Init/Prelude.html#HShiftRight","doc":"The typeclass behind the notation `a >>> b : γ` where `a : α`, `b : β`. "},"HShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1246-L1246","name":"HShiftLeft.mk","line":1246,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftLeft.mk","doc":""},"HShiftLeft.hShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1252-L1252","name":"HShiftLeft.hShiftLeft","line":1252,"kind":"def","docLink":"./Init/Prelude.html#HShiftLeft.hShiftLeft","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"HShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1246-L1252","name":"HShiftLeft","line":1246,"kind":"class","docLink":"./Init/Prelude.html#HShiftLeft","doc":"The typeclass behind the notation `a <<< b : γ` where `a : α`, `b : β`. "},"HPow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1189-L1189","name":"HPow.mk","line":1189,"kind":"ctor","docLink":"./Init/Prelude.html#HPow.mk","doc":""},"HPow.hPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1192-L1192","name":"HPow.hPow","line":1192,"kind":"def","docLink":"./Init/Prelude.html#HPow.hPow","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"HPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1189-L1192","name":"HPow","line":1189,"kind":"class","docLink":"./Init/Prelude.html#HPow","doc":"The notation typeclass for heterogeneous exponentiation.\nThis enables the notation `a ^ b : γ` where `a : α`, `b : β`.\n"},"HOrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1208-L1208","name":"HOrElse.mk","line":1208,"kind":"ctor","docLink":"./Init/Prelude.html#HOrElse.mk","doc":""},"HOrElse.hOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1213-L1213","name":"HOrElse.hOrElse","line":1213,"kind":"def","docLink":"./Init/Prelude.html#HOrElse.hOrElse","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1208-L1213","name":"HOrElse","line":1208,"kind":"class","docLink":"./Init/Prelude.html#HOrElse","doc":"The typeclass behind the notation `a <|> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HOr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1240-L1240","name":"HOr.mk","line":1240,"kind":"ctor","docLink":"./Init/Prelude.html#HOr.mk","doc":""},"HOr.hOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1243-L1243","name":"HOr.hOr","line":1243,"kind":"def","docLink":"./Init/Prelude.html#HOr.hOr","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1240-L1243","name":"HOr","line":1240,"kind":"class","docLink":"./Init/Prelude.html#HOr","doc":"The typeclass behind the notation `a ||| b : γ` where `a : α`, `b : β`. "},"HMul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1157-L1157","name":"HMul.mk","line":1157,"kind":"ctor","docLink":"./Init/Prelude.html#HMul.mk","doc":""},"HMul.hMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1160-L1160","name":"HMul.hMul","line":1160,"kind":"def","docLink":"./Init/Prelude.html#HMul.hMul","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1157-L1160","name":"HMul","line":1157,"kind":"class","docLink":"./Init/Prelude.html#HMul","doc":"The notation typeclass for heterogeneous multiplication.\nThis enables the notation `a * b : γ` where `a : α`, `b : β`.\n"},"HMod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1179-L1179","name":"HMod.mk","line":1179,"kind":"ctor","docLink":"./Init/Prelude.html#HMod.mk","doc":""},"HMod.hMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1183-L1183","name":"HMod.hMod","line":1183,"kind":"def","docLink":"./Init/Prelude.html#HMod.hMod","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"HMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1179-L1183","name":"HMod","line":1179,"kind":"class","docLink":"./Init/Prelude.html#HMod","doc":"The notation typeclass for heterogeneous modulo / remainder.\nThis enables the notation `a % b : γ` where `a : α`, `b : β`.\n"},"HEq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L630-L631","name":"HEq.trans","line":630,"kind":"theorem","docLink":"./Init/Core.html#HEq.trans","doc":""},"HEq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L624-L625","name":"HEq.symm","line":624,"kind":"theorem","docLink":"./Init/Core.html#HEq.symm","doc":""},"HEq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L621-L622","name":"HEq.subst","line":621,"kind":"theorem","docLink":"./Init/Core.html#HEq.subst","doc":""},"HEq.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L448-L449","name":"HEq.rfl","line":448,"kind":"def","docLink":"./Init/Prelude.html#HEq.rfl","doc":"A version of `HEq.refl` with an implicit argument. "},"HEq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L444-L445","name":"HEq.refl","line":444,"kind":"ctor","docLink":"./Init/Prelude.html#HEq.refl","doc":"Reflexivity of heterogeneous equality. "},"HEq.ndrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L615-L616","name":"HEq.ndrecOn","line":615,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrecOn","doc":""},"HEq.ndrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L612-L613","name":"HEq.ndrec","line":612,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrec","doc":""},"HEq.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L618-L619","name":"HEq.elim","line":618,"kind":"theorem","docLink":"./Init/Core.html#HEq.elim","doc":""},"HEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L443-L445","name":"HEq","line":443,"kind":"inductive","docLink":"./Init/Prelude.html#HEq","doc":"Heterogeneous equality. `HEq a b` asserts that `a` and `b` have the same\ntype, and casting `a` across the equality yields `b`, and vice versa.\n\nYou should avoid using this type if you can. Heterogeneous equality does not\nhave all the same properties as `Eq`, because the assumption that the types of\n`a` and `b` are equal is often too weak to prove theorems of interest. One\nimportant non-theorem is the analogue of `congr`: If `HEq f g` and `HEq x y`\nand `f x` and `g y` are well typed it does not follow that `HEq (f x) (g y)`.\n(This does follow if you have `f = g` instead.) However if `a` and `b` have\nthe same type then `a = b` and `HEq a b` are equivalent.\n"},"HDiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1166-L1166","name":"HDiv.mk","line":1166,"kind":"ctor","docLink":"./Init/Prelude.html#HDiv.mk","doc":""},"HDiv.hDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1173-L1173","name":"HDiv.hDiv","line":1173,"kind":"def","docLink":"./Init/Prelude.html#HDiv.hDiv","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"HDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1166-L1173","name":"HDiv","line":1166,"kind":"class","docLink":"./Init/Prelude.html#HDiv","doc":"The notation typeclass for heterogeneous division.\nThis enables the notation `a / b : γ` where `a : α`, `b : β`.\n"},"HAppend.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1198-L1198","name":"HAppend.mk","line":1198,"kind":"ctor","docLink":"./Init/Prelude.html#HAppend.mk","doc":""},"HAppend.hAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1201-L1201","name":"HAppend.hAppend","line":1201,"kind":"def","docLink":"./Init/Prelude.html#HAppend.hAppend","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"HAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1198-L1201","name":"HAppend","line":1198,"kind":"class","docLink":"./Init/Prelude.html#HAppend","doc":"The notation typeclass for heterogeneous append.\nThis enables the notation `a ++ b : γ` where `a : α`, `b : β`.\n"},"HAndThen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1220-L1220","name":"HAndThen.mk","line":1220,"kind":"ctor","docLink":"./Init/Prelude.html#HAndThen.mk","doc":""},"HAndThen.hAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1225-L1225","name":"HAndThen.hAndThen","line":1225,"kind":"def","docLink":"./Init/Prelude.html#HAndThen.hAndThen","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1220-L1225","name":"HAndThen","line":1220,"kind":"class","docLink":"./Init/Prelude.html#HAndThen","doc":"The typeclass behind the notation `a >> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HAnd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1228-L1228","name":"HAnd.mk","line":1228,"kind":"ctor","docLink":"./Init/Prelude.html#HAnd.mk","doc":""},"HAnd.hAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1231-L1231","name":"HAnd.hAnd","line":1231,"kind":"def","docLink":"./Init/Prelude.html#HAnd.hAnd","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1228-L1231","name":"HAnd","line":1228,"kind":"class","docLink":"./Init/Prelude.html#HAnd","doc":"The typeclass behind the notation `a &&& b : γ` where `a : α`, `b : β`. "},"HAdd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1138-L1138","name":"HAdd.mk","line":1138,"kind":"ctor","docLink":"./Init/Prelude.html#HAdd.mk","doc":""},"HAdd.hAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1141-L1141","name":"HAdd.hAdd","line":1141,"kind":"def","docLink":"./Init/Prelude.html#HAdd.hAdd","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1138-L1141","name":"HAdd","line":1138,"kind":"class","docLink":"./Init/Prelude.html#HAdd","doc":"The notation typeclass for heterogeneous addition.\nThis enables the notation `a + b : γ` where `a : α`, `b : β`.\n"},"Goedel.toType":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L8-L8","name":"Goedel.toType","line":8,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.toType","doc":""},"Goedel.mk":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L7-L7","name":"Goedel.mk","line":7,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.mk","doc":""},"Goedel":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/WellTypedFramework.lean#L7-L8","name":"Goedel","line":7,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#Goedel","doc":"Typeclass for a `baseType` which is a Gödel code of\nLean types. "},"GetElem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2460-L2460","name":"GetElem.mk","line":2460,"kind":"ctor","docLink":"./Init/Prelude.html#GetElem.mk","doc":""},"GetElem.getElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2481-L2481","name":"GetElem.getElem","line":2481,"kind":"def","docLink":"./Init/Prelude.html#GetElem.getElem","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"GetElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2460-L2481","name":"GetElem","line":2460,"kind":"class","docLink":"./Init/Prelude.html#GetElem","doc":"The class `GetElem cont idx elem dom` implements the `xs[i]` notation.\nWhen you write this, given `xs : cont` and `i : idx`, lean looks for an instance\nof `GetElem cont idx elem dom`. Here `elem` is the type of `xs[i]`, while\n`dom` is whatever proof side conditions are required to make this applicable.\nFor example, the instance for arrays looks like\n`GetElem (Array α) Nat α (fun xs i => i < xs.size)`.\n\nThe proof side-condition `dom xs i` is automatically dispatched by the\n`get_elem_tactic` tactic, which can be extended by adding more clauses to\n`get_elem_tactic_trivial`.\n"},"GT.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1085-L1085","name":"GT.gt","line":1085,"kind":"def","docLink":"./Init/Prelude.html#GT.gt","doc":"`a > b` is an abbreviation for `b < a`. "},"GE.ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1083-L1083","name":"GE.ge","line":1083,"kind":"def","docLink":"./Init/Prelude.html#GE.ge","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"Functor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2683-L2683","name":"Functor.mk","line":2683,"kind":"ctor","docLink":"./Init/Prelude.html#Functor.mk","doc":""},"Functor.mapRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L12-L13","name":"Functor.mapRev","line":12,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.mapRev","doc":""},"Functor.mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2688-L2688","name":"Functor.mapConst","line":2688,"kind":"def","docLink":"./Init/Prelude.html#Functor.mapConst","doc":"The special case `const a <$> x`, which can sometimes be implemented more\nefficiently. "},"Functor.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2685-L2685","name":"Functor.map","line":2685,"kind":"def","docLink":"./Init/Prelude.html#Functor.map","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"Functor.discard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L18-L19","name":"Functor.discard","line":18,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.discard","doc":""},"Functor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2683-L2688","name":"Functor","line":2683,"kind":"class","docLink":"./Init/Prelude.html#Functor","doc":"In functional programming, a \"functor\" is a function on types `F : Type u → Type v`\nequipped with an operator called `map` or `<$>` such that if `f : α → β` then\n`map f : F α → F β`, so `f <$> x : F β` if `x : F α`. This corresponds to the\ncategory-theory notion of [functor](https://en.wikipedia.org/wiki/Functor) in\nthe special case where the category is the category of types and functions\nbetween them, except that this class supplies only the operations and not the\nlaws (see `LawfulFunctor`).\n"},"Function.const_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L31-L31","name":"Function.const_apply","line":31,"kind":"theorem","docLink":"./Init/Core.html#Function.const_apply","doc":""},"Function.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L66-L67","name":"Function.const","line":66,"kind":"def","docLink":"./Init/Prelude.html#Function.const","doc":"The constant function. If `a : α`, then `Function.const β a : β → α` is the\n\"constant function with value `a`\", that is, `Function.const β a b = a`.\n```\nexample (b : Bool) : Function.const Bool 10 b = 10 :=\n rfl\n\n#check Function.const Bool 10\n-- Bool → Nat\n```\n"},"Function.comp_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L33-L33","name":"Function.comp_apply","line":33,"kind":"theorem","docLink":"./Init/Core.html#Function.comp_apply","doc":""},"Function.comp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L52-L53","name":"Function.comp","line":52,"kind":"def","docLink":"./Init/Prelude.html#Function.comp","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"ForM.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L230-L230","name":"ForM.mk","line":230,"kind":"ctor","docLink":"./Init/Control/Basic.html#ForM.mk","doc":""},"ForM.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L231-L231","name":"ForM.forM","line":231,"kind":"def","docLink":"./Init/Control/Basic.html#ForM.forM","doc":""},"ForM.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/State.lean#L103-L111","name":"ForM.forIn","line":103,"kind":"def","docLink":"./Init/Control/State.html#ForM.forIn","doc":"Adapter to create a ForIn instance from a ForM instance "},"ForM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L230-L231","name":"ForM","line":230,"kind":"class","docLink":"./Init/Control/Basic.html#ForM","doc":"Typeclass for the polymorphic `forM` operation described in the \"do unchained\" paper.\nRemark:\n- `γ` is a \"container\" type of elements of type `α`.\n- `α` is treated as an output parameter by the typeclass resolution procedure.\n That is, it tries to find an instance using only `m` and `γ`.\n"},"ForInStep.yield":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L216-L218","name":"ForInStep.yield","line":216,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.yield","doc":"`.yield a` means that we should continue the loop.\n`.yield` is produced by `continue` and reaching the bottom of the loop body. "},"ForInStep.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L213-L215","name":"ForInStep.done","line":213,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.done","doc":"`.done a` means that we should early-exit the loop.\n`.done` is produced by calls to `break` or `return` in the loop. "},"ForInStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L212-L219","name":"ForInStep","line":212,"kind":"inductive","docLink":"./Init/Core.html#ForInStep","doc":"Auxiliary type used to compile `for x in xs` notation.\n\nThis is the return value of the body of a `ForIn` call,\nrepresenting the body of a for loop. It can be:\n\n* `.yield (a : α)`, meaning that we should continue the loop and `a` is the new state.\n `.yield` is produced by `continue` and reaching the bottom of the loop body.\n* `.done (a : α)`, meaning that we should early-exit the loop with state `a`.\n `.done` is produced by calls to `break` or `return` in the loop,\n"},"ForIn.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L227-L227","name":"ForIn.mk","line":227,"kind":"ctor","docLink":"./Init/Core.html#ForIn.mk","doc":""},"ForIn.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L248-L248","name":"ForIn.forIn","line":248,"kind":"def","docLink":"./Init/Core.html#ForIn.forIn","doc":"`forIn x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` to\n`f : α → β → m (ForInStep β)`. `b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration.\n\nThe expression\n```\nlet mut b := ...\nfor x in xs do\n b ← foo x b\n```\nin a `do` block is syntactic sugar for:\n```\nlet b := ...\nlet b ← forIn xs b (fun x b => do\n let b ← foo x b\n return .yield b)\n```\n(Here `b` corresponds to the variables mutated in the loop.) "},"ForIn'.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L257-L257","name":"ForIn'.mk","line":257,"kind":"ctor","docLink":"./Init/Core.html#ForIn'.mk","doc":""},"ForIn'.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L264-L264","name":"ForIn'.forIn'","line":264,"kind":"def","docLink":"./Init/Core.html#ForIn'.forIn'","doc":"`forIn' x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` along\nwith a proof that `a ∈ x` to `f : (a : α) → a ∈ x → β → m (ForInStep β)`.\n`b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration. "},"ForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L257-L264","name":"ForIn'","line":257,"kind":"class","docLink":"./Init/Core.html#ForIn'","doc":"`ForIn' m ρ α d` is a variation on the `ForIn m ρ α` typeclass which supports the\n`for h : x in xs` notation. It is the same as `for x in xs` except that `h : x ∈ xs`\nis provided as an additional argument to the body of the for-loop.\n"},"ForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L227-L248","name":"ForIn","line":227,"kind":"class","docLink":"./Init/Core.html#ForIn","doc":"`ForIn m ρ α` is the typeclass which supports `for x in xs` notation.\nHere `xs : ρ` is the type of the collection to iterate over, `x : α`\nis the element type which is made available inside the loop, and `m` is the monad\nfor the encompassing `do` block.\n"},"FloatSpec.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L13-L13","name":"FloatSpec.val","line":13,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.val","doc":""},"FloatSpec.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L1-L1","name":"FloatSpec.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#FloatSpec.mk","doc":""},"FloatSpec.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L14-L14","name":"FloatSpec.lt","line":14,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.lt","doc":""},"FloatSpec.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L15-L15","name":"FloatSpec.le","line":15,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.le","doc":""},"FloatSpec.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L12-L12","name":"FloatSpec.float","line":12,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.float","doc":""},"FloatSpec.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L16-L16","name":"FloatSpec.decLt","line":16,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLt","doc":""},"FloatSpec.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L17-L17","name":"FloatSpec.decLe","line":17,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLe","doc":""},"FloatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L11-L17","name":"FloatSpec","line":11,"kind":"structure","docLink":"./Init/Data/Float.html#FloatSpec","doc":""},"FloatArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L65-L66","name":"FloatArray.uset","line":65,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uset","doc":""},"FloatArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L41-L42","name":"FloatArray.uget","line":41,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uget","doc":""},"FloatArray.toList.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L80-L84","name":"FloatArray.toList.loop","line":80,"kind":"opaque","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList.loop","doc":""},"FloatArray.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L79-L85","name":"FloatArray.toList","line":79,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList","doc":""},"FloatArray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L37-L38","name":"FloatArray.size","line":37,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.size","doc":""},"FloatArray.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L73-L74","name":"FloatArray.set!","line":73,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set!","doc":""},"FloatArray.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L69-L70","name":"FloatArray.set","line":69,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set","doc":""},"FloatArray.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L33-L34","name":"FloatArray.push","line":33,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.push","doc":""},"FloatArray.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L20-L21","name":"FloatArray.mkEmpty","line":20,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mkEmpty","doc":""},"FloatArray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L1-L1","name":"FloatArray.mk","line":1,"kind":"ctor","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mk","doc":""},"FloatArray.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/B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claim this unsafe implementation is correct because an array cannot have more than `usizeSz` elements in our runtime.\nThis is similar to the `Array` version.\n"},"FloatArray.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L107-L116","name":"FloatArray.forIn.loop","line":107,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.forIn.loop","doc":""},"FloatArray.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L106-L117","name":"FloatArray.forIn","line":106,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.forIn","doc":"Reference implementation for `forIn` "},"FloatArray.foldlMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L126-L130","name":"FloatArray.foldlMUnsafe.fold","line":126,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlMUnsafe.fold","doc":""},"FloatArray.foldlMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L125-L137","name":"FloatArray.foldlMUnsafe","line":125,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlMUnsafe","doc":"See comment at `forInUnsafe` "},"FloatArray.foldlM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L143-L150","name":"FloatArray.foldlM.loop","line":143,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlM.loop","doc":""},"FloatArray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L141-L155","name":"FloatArray.foldlM","line":141,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlM","doc":"Reference implementation for `foldlM` "},"FloatArray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L158-L159","name":"FloatArray.foldl","line":158,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldl","doc":""},"FloatArray.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L23-L24","name":"FloatArray.empty","line":23,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.empty","doc":""},"FloatArray.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L13-L13","name":"FloatArray.data","line":13,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.data","doc":""},"FloatArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L12-L13","name":"FloatArray","line":12,"kind":"structure","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray","doc":""},"Float.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L30-L30","name":"Float.val","line":30,"kind":"def","docLink":"./Init/Data/Float.html#Float.val","doc":""},"Float.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L88-L88","name":"Float.toUSize","line":88,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUSize","doc":"If 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"},"Float.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L76-L76","name":"Float.toUInt8","line":76,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt8","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt8, returns 0. "},"Float.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L85-L85","name":"Float.toUInt64","line":85,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt64","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt64, returns 0. "},"Float.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L82-L82","name":"Float.toUInt32","line":82,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt32","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt32, returns 0. "},"Float.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L79-L79","name":"Float.toUInt16","line":79,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt16","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt16, returns 0. "},"Float.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L72-L72","name":"Float.toString","line":72,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toString","doc":""},"Float.tanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L118-L118","name":"Float.tanh","line":118,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tanh","doc":""},"Float.tan":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L111-L111","name":"Float.tan","line":111,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tan","doc":""},"Float.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L35-L35","name":"Float.sub","line":35,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sub","doc":""},"Float.sqrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L128-L128","name":"Float.sqrt","line":128,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sqrt","doc":""},"Float.sinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L116-L116","name":"Float.sinh","line":116,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sinh","doc":""},"Float.sin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L109-L109","name":"Float.sin","line":109,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sin","doc":""},"Float.scaleB":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L145-L145","name":"Float.scaleB","line":145,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.scaleB","doc":"Efficiently computes `x * 2^i`.\n"},"Float.round":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L132-L132","name":"Float.round","line":132,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.round","doc":""},"Float.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L127-L127","name":"Float.pow","line":127,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.pow","doc":""},"Float.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L26-L32","name":"Float.ofScientific","line":26,"kind":"opaque","docLink":"./Init/Data/OfScientific.html#Float.ofScientific","doc":""},"Float.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L46-L47","name":"Float.ofNat","line":46,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofNat","doc":""},"Float.ofInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L49-L51","name":"Float.ofInt","line":49,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofInt","doc":""},"Float.ofBinaryScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L20-L24","name":"Float.ofBinaryScientific","line":20,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofBinaryScientific","doc":"Computes `m * 2^e`. "},"Float.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L38-L38","name":"Float.neg","line":38,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.neg","doc":""},"Float.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L36-L36","name":"Float.mul","line":36,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.mul","doc":""},"Float.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L1-L1","name":"Float.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#Float.mk","doc":""},"Float.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L41-L43","name":"Float.lt","line":41,"kind":"def","docLink":"./Init/Data/Float.html#Float.lt","doc":""},"Float.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L125-L125","name":"Float.log2","line":125,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log2","doc":""},"Float.log10":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L126-L126","name":"Float.log10","line":126,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log10","doc":""},"Float.log":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L124-L124","name":"Float.log","line":124,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log","doc":""},"Float.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L45-L46","name":"Float.le","line":45,"kind":"def","docLink":"./Init/Data/Float.html#Float.le","doc":""},"Float.isNaN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L90-L90","name":"Float.isNaN","line":90,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isNaN","doc":""},"Float.isInf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L92-L92","name":"Float.isInf","line":92,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isInf","doc":""},"Float.isFinite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L91-L91","name":"Float.isFinite","line":91,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isFinite","doc":""},"Float.frExp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L97-L97","name":"Float.frExp","line":97,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.frExp","doc":"Splits the given float `x` into a significand/exponent pair `(s, i)`\nsuch that `x = s * 2^i` where `s ∈ (-1;-0.5] ∪ [0.5; 1)`.\nReturns an undefined value if `x` is not finite.\n"},"Float.floor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L131-L131","name":"Float.floor","line":131,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.floor","doc":""},"Float.exp2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L123-L123","name":"Float.exp2","line":123,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp2","doc":""},"Float.exp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L122-L122","name":"Float.exp","line":122,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp","doc":""},"Float.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L37-L37","name":"Float.div","line":37,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.div","doc":""},"Float.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L61-L63","name":"Float.decLt","line":61,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLt","doc":""},"Float.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L65-L67","name":"Float.decLe","line":65,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLe","doc":""},"Float.cosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L117-L117","name":"Float.cosh","line":117,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cosh","doc":""},"Float.cos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L110-L110","name":"Float.cos","line":110,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cos","doc":""},"Float.ceil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L130-L130","name":"Float.ceil","line":130,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.ceil","doc":""},"Float.cbrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L129-L129","name":"Float.cbrt","line":129,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cbrt","doc":""},"Float.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L57-L57","name":"Float.beq","line":57,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.beq","doc":"Note: this is not reflexive since `NaN != NaN`."},"Float.atanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L121-L121","name":"Float.atanh","line":121,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atanh","doc":""},"Float.atan2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L115-L115","name":"Float.atan2","line":115,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan2","doc":""},"Float.atan":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L114-L114","name":"Float.atan","line":114,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan","doc":""},"Float.asinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L119-L119","name":"Float.asinh","line":119,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asinh","doc":""},"Float.asin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L112-L112","name":"Float.asin","line":112,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asin","doc":""},"Float.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L34-L34","name":"Float.add","line":34,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.add","doc":""},"Float.acosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L120-L120","name":"Float.acosh","line":120,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acosh","doc":""},"Float.acos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L113-L113","name":"Float.acos","line":113,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acos","doc":""},"Float.abs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L133-L133","name":"Float.abs","line":133,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.abs","doc":""},"Float":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L29-L30","name":"Float","line":29,"kind":"structure","docLink":"./Init/Data/Float.html#Float","doc":""},"Fin.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L68-L69","name":"Fin.xor","line":68,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.xor","doc":""},"Fin.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L109-L110","name":"Fin.val_ne_of_ne","line":109,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_ne_of_ne","doc":""},"Fin.val_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L115-L116","name":"Fin.val_lt_of_le","line":115,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_lt_of_le","doc":""},"Fin.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1755-L1756","name":"Fin.val_eq_of_eq","line":1755,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.val_eq_of_eq","doc":""},"Fin.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1748-L1748","name":"Fin.val","line":1748,"kind":"def","docLink":"./Init/Prelude.html#Fin.val","doc":"If `i : Fin n`, then `i.val : ℕ` is the described number. It can also be\nwritten as `i.1` or just `i` when the target type is known. "},"Fin.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L21-L22","name":"Fin.succ","line":21,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.succ","doc":""},"Fin.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L44-L45","name":"Fin.sub","line":44,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.sub","doc":""},"Fin.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L11-L12","name":"Fin.sizeOf","line":11,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Fin.sizeOf","doc":""},"Fin.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L74-L75","name":"Fin.shiftRight","line":74,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftRight","doc":""},"Fin.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L71-L72","name":"Fin.shiftLeft","line":71,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftLeft","doc":""},"Fin.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L29-L30","name":"Fin.ofNat'","line":29,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat'","doc":""},"Fin.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L26-L27","name":"Fin.ofNat","line":26,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat","doc":""},"Fin.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1758-L1759","name":"Fin.ne_of_val_ne","line":1758,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.ne_of_val_ne","doc":""},"Fin.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L41-L42","name":"Fin.mul","line":41,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mul","doc":""},"Fin.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L112-L113","name":"Fin.modn_lt","line":112,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.modn_lt","doc":""},"Fin.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L59-L60","name":"Fin.modn","line":59,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.modn","doc":""},"Fin.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L53-L54","name":"Fin.mod","line":53,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mod","doc":""},"Fin.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1745-L1745","name":"Fin.mk","line":1745,"kind":"ctor","docLink":"./Init/Prelude.html#Fin.mk","doc":""},"Fin.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L65-L66","name":"Fin.lor","line":65,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.lor","doc":""},"Fin.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Log2.lean#L9-L9","name":"Fin.log2","line":9,"kind":"def","docLink":"./Init/Data/Fin/Log2.html#Fin.log2","doc":""},"Fin.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L62-L63","name":"Fin.land","line":62,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.land","doc":""},"Fin.isLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1750-L1750","name":"Fin.isLt","line":1750,"kind":"def","docLink":"./Init/Prelude.html#Fin.isLt","doc":"If `i : Fin n`, then `i.2` is a proof that `i.1 < n`. "},"Fin.instXorFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L96-L97","name":"Fin.instXorFin","line":96,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instXorFin","doc":""},"Fin.instSubFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L80-L81","name":"Fin.instSubFin","line":80,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instSubFin","doc":""},"Fin.instShiftRightFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L100-L101","name":"Fin.instShiftRightFin","line":100,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftRightFin","doc":""},"Fin.instShiftLeftFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L98-L99","name":"Fin.instShiftLeftFin","line":98,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftLeftFin","doc":""},"Fin.instOrOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L94-L95","name":"Fin.instOrOpFin","line":94,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOrOpFin","doc":""},"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L103-L104","name":"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","line":103,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instMulFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L83-L84","name":"Fin.instMulFin","line":83,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instMulFin","doc":""},"Fin.instModFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L86-L87","name":"Fin.instModFin","line":86,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instModFin","doc":""},"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L106-L107","name":"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","line":106,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instDivFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L89-L90","name":"Fin.instDivFin","line":89,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instDivFin","doc":""},"Fin.instAndOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L92-L93","name":"Fin.instAndOpFin","line":92,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAndOpFin","doc":""},"Fin.instAddFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L77-L78","name":"Fin.instAddFin","line":77,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAddFin","doc":""},"Fin.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1752-L1753","name":"Fin.eq_of_val_eq","line":1752,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.eq_of_val_eq","doc":""},"Fin.elim0":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L18-L19","name":"Fin.elim0","line":18,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.elim0","doc":""},"Fin.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L56-L57","name":"Fin.div","line":56,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.div","doc":""},"Fin.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1773-L1773","name":"Fin.decLt","line":1773,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLt","doc":""},"Fin.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1774-L1774","name":"Fin.decLe","line":1774,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLe","doc":""},"Fin.coeToNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L15-L16","name":"Fin.coeToNat","line":15,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.coeToNat","doc":""},"Fin.coeLt":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"Fin.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L38-L39","name":"Fin.add","line":38,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.add","doc":""},"Fin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1745-L1750","name":"Fin","line":1745,"kind":"structure","docLink":"./Init/Prelude.html#Fin","doc":"`Fin n` is a natural number `i` with the constraint that `0 ≤ i < n`.\nIt is the \"canonical type with `n` elements\".\n"},"False.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L223-L224","name":"False.elim","line":223,"kind":"def","docLink":"./Init/Prelude.html#False.elim","doc":"`False.elim : False → C` says that from `False`, any desired proposition\n`C` holds. Also known as ex falso quodlibet (EFQ) or the principle of explosion.\n\nThe target type is actually `C : Sort u` which means it works for both\npropositions and types. When executed, this acts like an \"unreachable\"\ninstruction: it is **undefined behavior** to run, but it will probably print\n\"unreachable code\". (You would need to construct a proof of false to run it\nanyway, which you can only do using `sorry` or unsound axioms.)\n"},"False":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L189-L189","name":"False","line":189,"kind":"inductive","docLink":"./Init/Prelude.html#False","doc":"`False` is the empty proposition. Thus, it has no introduction rules.\nIt represents a contradiction. `False` elimination rule, `False.rec`,\nexpresses the fact that anything follows from a contradiction.\nThis rule is sometimes called ex falso (short for ex falso sequitur quodlibet),\nor the principle of explosion.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Exists.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L197-L199","name":"Exists.intro","line":197,"kind":"ctor","docLink":"./Init/Core.html#Exists.intro","doc":"Existential introduction. If `a : α` and `h : p a`,\nthen `⟨a, h⟩` is a proof that `∃ x : α, p x`. "},"Exists.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L685-L688","name":"Exists.elim","line":685,"kind":"theorem","docLink":"./Init/Core.html#Exists.elim","doc":""},"Exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L196-L199","name":"Exists","line":196,"kind":"inductive","docLink":"./Init/Core.html#Exists","doc":"Existential quantification. If `p : α → Prop` is a predicate, then `∃ x : α, p x`\nasserts that there is some `x` of type `α` such that `p x` holds.\nTo create an existential proof, use the `exists` tactic,\nor the anonymous constructor notation `⟨x, h⟩`.\nTo unpack an existential, use `cases h` where `h` is a proof of `∃ x : α, p x`,\nor `let ⟨x, hx⟩ := h` where `.\n\nBecause Lean has proof irrelevance, any two proofs of an existential are\ndefinitionally equal. One consequence of this is that it is impossible to recover the\nwitness of an existential from the mere fact of its existence.\nFor example, the following does not compile:\n```\nexample (h : ∃ x : Nat, x = x) : Nat :=\n let ⟨x, _⟩ := h -- fail, because the goal is `Nat : Type`\n x\n```\nThe error message `recursor 'Exists.casesOn' can only eliminate into Prop` means\nthat this only works when the current goal is another proposition:\n```\nexample (h : ∃ x : Nat, x = x) : True :=\n let ⟨x, _⟩ := h -- ok, because the goal is `True : Prop`\n trivial\n```\n"},"ExceptT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L114-L117","name":"ExceptT.tryCatch","line":114,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.tryCatch","doc":""},"ExceptT.seq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L137-L138","name":"ExceptT.seq_eq","line":137,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seq_eq","doc":""},"ExceptT.seqRight_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L155-L161","name":"ExceptT.seqRight_eq","line":155,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqRight_eq","doc":""},"ExceptT.seqLeft_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L143-L153","name":"ExceptT.seqLeft_eq","line":143,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqLeft_eq","doc":""},"ExceptT.run_throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L112-L112","name":"ExceptT.run_throw","line":112,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_throw","doc":""},"ExceptT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L108-L108","name":"ExceptT.run_pure","line":108,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_pure","doc":""},"ExceptT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L131-L135","name":"ExceptT.run_map","line":131,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_map","doc":""},"ExceptT.run_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L110-L110","name":"ExceptT.run_lift","line":110,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_lift","doc":""},"ExceptT.run_bind_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L114-L115","name":"ExceptT.run_bind_lift","line":114,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind_lift","doc":""},"ExceptT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L120-L126","name":"ExceptT.run_bind","line":120,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind","doc":""},"ExceptT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L80-L80","name":"ExceptT.run","line":80,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.run","doc":""},"ExceptT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L87-L88","name":"ExceptT.pure","line":87,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.pure","doc":""},"ExceptT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L77-L77","name":"ExceptT.mk","line":77,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.mk","doc":""},"ExceptT.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L100-L103","name":"ExceptT.map","line":100,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.map","doc":""},"ExceptT.lift_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L128-L129","name":"ExceptT.lift_pure","line":128,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.lift_pure","doc":""},"ExceptT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L106-L107","name":"ExceptT.lift","line":106,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.lift","doc":""},"ExceptT.instMonadLiftExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L111-L111","name":"ExceptT.instMonadLiftExceptT","line":111,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptT","doc":""},"ExceptT.instMonadLiftExceptExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L110-L110","name":"ExceptT.instMonadLiftExceptExceptT","line":110,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptExceptT","doc":""},"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"},"Except.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L17-L18","name":"Except.pure","line":17,"kind":"def","docLink":"./Init/Control/Except.html#Except.pure","doc":""},"Except.orElseLazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L60-L63","name":"Except.orElseLazy","line":60,"kind":"def","docLink":"./Init/Control/Except.html#Except.orElseLazy","doc":""},"Except.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2849-L2850","name":"Except.ok","line":2849,"kind":"ctor","docLink":"./Init/Prelude.html#Except.ok","doc":"A success value of type `α` "},"Except.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L25-L28","name":"Except.map_id","line":25,"kind":"theorem","docLink":"./Init/Control/Except.html#Except.map_id","doc":""},"Except.mapError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L31-L33","name":"Except.mapError","line":31,"kind":"def","docLink":"./Init/Control/Except.html#Except.mapError","doc":""},"Except.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L21-L23","name":"Except.map","line":21,"kind":"def","docLink":"./Init/Control/Except.html#Except.map","doc":""},"Except.isOk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L47-L47","name":"Except.isOk","line":47,"kind":"def","docLink":"./Init/Control/Except.html#Except.isOk","doc":""},"Except.instMonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L66-L69","name":"Except.instMonadExcept","line":66,"kind":"instance","docLink":"./Init/Control/Except.html#Except.instMonadExcept","doc":""},"Except.error":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2847-L2848","name":"Except.error","line":2847,"kind":"ctor","docLink":"./Init/Prelude.html#Except.error","doc":"A failure value of type `ε` "},"Except.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L36-L39","name":"Except.bind","line":36,"kind":"def","docLink":"./Init/Control/Except.html#Except.bind","doc":""},"Except":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2846-L2850","name":"Except","line":2846,"kind":"inductive","docLink":"./Init/Prelude.html#Except","doc":"`Except ε α` is a type which represents either an error of type `ε`, or an \"ok\"\nvalue of type `α`. The error type is listed first because\n`Except ε : Type → Type` is a `Monad`: the pure operation is `ok` and the bind\noperation returns the first encountered `error`.\n"},"Equivalence.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L921-L921","name":"Equivalence.trans","line":921,"kind":"def","docLink":"./Init/Core.html#Equivalence.trans","doc":"An equivalence relation is transitive: `x ~ y` and `y ~ z` implies `x ~ z` "},"Equivalence.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L919-L919","name":"Equivalence.symm","line":919,"kind":"def","docLink":"./Init/Core.html#Equivalence.symm","doc":"An equivalence relation is symmetric: `x ~ y` implies `y ~ x` "},"Equivalence.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L917-L917","name":"Equivalence.refl","line":917,"kind":"def","docLink":"./Init/Core.html#Equivalence.refl","doc":"An equivalence relation is reflexive: `x ~ x` "},"Equivalence.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L915-L915","name":"Equivalence.mk","line":915,"kind":"ctor","docLink":"./Init/Core.html#Equivalence.mk","doc":""},"Equivalence":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L915-L921","name":"Equivalence","line":915,"kind":"structure","docLink":"./Init/Core.html#Equivalence","doc":"An equivalence relation `~ : α → α → Prop` is a relation that is:\n\n* reflexive: `x ~ x`\n* symmetric: `x ~ y` implies `y ~ x`\n* transitive: `x ~ y` and `y ~ z` implies `x ~ z`\n\nEquality is an equivalence relation, and equivalence relations share many of\nthe properties of equality. In particular, `Quot α r` is most well behaved\nwhen `r` is an equivalence relation, and in this case we use `Quotient` instead.\n"},"Eq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L322-L323","name":"Eq.trans","line":322,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.trans","doc":"Equality is transitive: if `a = b` and `b = c` then `a = c`.\n\nBecause this is in the `Eq` namespace, if you have variables or expressions\n`h₁ : a = b` and `h₂ : b = c`, you can use `h₁.trans h₂ : a = c` as shorthand\nfor `Eq.trans h₁ h₂`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L310-L311","name":"Eq.symm","line":310,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.symm","doc":"Equality is symmetric: if `a = b` then `b = a`.\n\nBecause this is in the `Eq` namespace, if you have a variable `h : a = b`,\n`h.symm` can be used as shorthand for `Eq.symm h` as a proof of `b = a`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.substr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L550-L551","name":"Eq.substr","line":550,"kind":"theorem","docLink":"./Init/Core.html#Eq.substr","doc":""},"Eq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L299-L300","name":"Eq.subst","line":299,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.subst","doc":"The substitution principle for equality. If `a = b ` and `P a` holds,\nthen `P b` also holds. We conventionally use the name `motive` for `P` here,\nso that you can specify it explicitly using e.g.\n`Eq.subst (motive := fun x => x < 5)` if it is not otherwise inferred correctly.\n\nThis theorem is the underlying mechanism behind the `rw` tactic, which is\nessentially a fancy algorithm for finding good `motive` arguments to usefully\napply this theorem to replace occurrences of `a` with `b` in the goal or\nhypotheses.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L264-L266","name":"Eq.refl","line":264,"kind":"ctor","docLink":"./Init/Prelude.html#Eq.refl","doc":"`Eq.refl a : a = a` is reflexivity, the unique constructor of the\nequality type. See also `rfl`, which is usually used instead. "},"Eq.propIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1144-L1145","name":"Eq.propIntro","line":1144,"kind":"theorem","docLink":"./Init/Core.html#Eq.propIntro","doc":""},"Eq.mpr_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L62-L62","name":"Eq.mpr_prop","line":62,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_prop","doc":""},"Eq.mpr_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L63-L63","name":"Eq.mpr_not","line":63,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_not","doc":""},"Eq.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L546-L547","name":"Eq.mpr","line":546,"kind":"def","docLink":"./Init/Core.html#Eq.mpr","doc":"If `h : α = β` is a proof of type equality, then `h.mpr : β → α` is the induced\n\"cast\" operation in the reverse direction, mapping elements of `β` to elements of `α`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mpr` is definitionally the identity function.\n"},"Eq.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L536-L537","name":"Eq.mp","line":536,"kind":"def","docLink":"./Init/Core.html#Eq.mp","doc":"If `h : α = β` is a proof of type equality, then `h.mp : α → β` is the induced\n\"cast\" operation, mapping elements of `α` to elements of `β`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mp` is definitionally the identity function.\n"},"Eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L263-L266","name":"Eq","line":263,"kind":"inductive","docLink":"./Init/Prelude.html#Eq","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"EmptyCollection.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L346-L346","name":"EmptyCollection.mk","line":346,"kind":"ctor","docLink":"./Init/Core.html#EmptyCollection.mk","doc":""},"EmptyCollection.emptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L349-L349","name":"EmptyCollection.emptyCollection","line":349,"kind":"def","docLink":"./Init/Core.html#EmptyCollection.emptyCollection","doc":"`∅` or `{}` is the empty set or empty collection.\nIt is supported by the `EmptyCollection` typeclass. "},"EmptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L346-L349","name":"EmptyCollection","line":346,"kind":"class","docLink":"./Init/Core.html#EmptyCollection","doc":"`EmptyCollection α` is the typeclass which supports the notation `∅`, also written as `{}`. "},"Empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L195-L195","name":"Empty","line":195,"kind":"inductive","docLink":"./Init/Prelude.html#Empty","doc":"The empty type. It has no constructors. The `Empty.rec`\neliminator expresses the fact that anything follows from the empty type.\n"},"EStateM.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3253-L3257","name":"EStateM.tryCatch","line":3253,"kind":"def","docLink":"./Init/Prelude.html#EStateM.tryCatch","doc":"Implementation of `tryCatch` for `EStateM` where the state is `Backtrackable`. "},"EStateM.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3236-L3237","name":"EStateM.throw","line":3236,"kind":"def","docLink":"./Init/Prelude.html#EStateM.throw","doc":"The `throw` operation of the `EStateM` monad. "},"EStateM.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3220-L3221","name":"EStateM.set","line":3220,"kind":"def","docLink":"./Init/Prelude.html#EStateM.set","doc":"The `set` operation of the `EStateM` monad. "},"EStateM.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3290-L3293","name":"EStateM.seqRight","line":3290,"kind":"def","docLink":"./Init/Prelude.html#EStateM.seqRight","doc":"The `seqRight` operation of the `EStateM` monad. "},"EStateM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3323-L3326","name":"EStateM.run'","line":3323,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run'","doc":"Execute an `EStateM` on initial state `s` for the returned value `α`.\nIf the monadic action throws an exception, returns `none` instead.\n"},"EStateM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3316-L3316","name":"EStateM.run","line":3316,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run","doc":"Execute an `EStateM` on initial state `s` to get a `Result`. "},"EStateM.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3215-L3216","name":"EStateM.pure","line":3215,"kind":"def","docLink":"./Init/Prelude.html#EStateM.pure","doc":"The `pure` operation of the `EStateM` monad. "},"EStateM.orElse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/EState.lean#L35-L42","name":"EStateM.orElse'","line":35,"kind":"def","docLink":"./Init/Control/EState.html#EStateM.orElse'","doc":"Alternative orElse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orElse` uses the second. "},"EStateM.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3261-L3265","name":"EStateM.orElse","line":3261,"kind":"def","docLink":"./Init/Prelude.html#EStateM.orElse","doc":"Implementation of `orElse` for `EStateM` where the state is `Backtrackable`. "},"EStateM.nonBacktrackable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3340-L3342","name":"EStateM.nonBacktrackable","line":3340,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.nonBacktrackable","doc":"Dummy default instance. This makes every `σ` trivially \"backtrackable\"\nby doing nothing on backtrack. Because this is the first declared instance\nof `Backtrackable _ σ`, it will be picked only if there are no other\n`Backtrackable _ σ` instances registered.\n"},"EStateM.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3230-L3232","name":"EStateM.modifyGet","line":3230,"kind":"def","docLink":"./Init/Prelude.html#EStateM.modifyGet","doc":"The `modifyGet` operation of the `EStateM` monad. "},"EStateM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3283-L3286","name":"EStateM.map","line":3283,"kind":"def","docLink":"./Init/Prelude.html#EStateM.map","doc":"The `map` operation of the `EStateM` monad. 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"},"DoResultSBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L333-L335","name":"DoResultSBC.continue","line":333,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultSBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L330-L332","name":"DoResultSBC.break","line":330,"kind":"ctor","docLink":"./Init/Core.html#DoResultSBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultSBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L323-L335","name":"DoResultSBC","line":323,"kind":"inductive","docLink":"./Init/Core.html#DoResultSBC","doc":"Auxiliary type used to compile `do` notation. 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It is the same as\n`DoResultPRBC α β σ` except that `break` and `continue` are not available\nbecause we are not in a loop context.\n"},"DoResultBC.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L314-L316","name":"DoResultBC.continue","line":314,"kind":"ctor","docLink":"./Init/Core.html#DoResultBC.continue","doc":"`continue s` means that `continue` was called, meaning that we should continue\nto the next iteration of the containing loop "},"DoResultBC.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L311-L313","name":"DoResultBC.break","line":311,"kind":"ctor","docLink":"./Init/Core.html#DoResultBC.break","doc":"`break s` means that `break` was called, meaning that we should exit\nfrom the containing loop "},"DoResultBC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L310-L316","name":"DoResultBC","line":310,"kind":"inductive","docLink":"./Init/Core.html#DoResultBC","doc":"Auxiliary type used to compile `do` notation. It is an optimization of\n`DoResultPRBC PEmpty PEmpty σ` to remove the impossible cases,\nused when neither `pure` nor `return` are possible exit paths.\n"},"Div.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1287-L1287","name":"Div.mk","line":1287,"kind":"ctor","docLink":"./Init/Prelude.html#Div.mk","doc":""},"Div.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1289-L1289","name":"Div.div","line":1289,"kind":"def","docLink":"./Init/Prelude.html#Div.div","doc":"`a / b` computes the result of dividing `a` by `b`. See `HDiv`. "},"Div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1287-L1289","name":"Div","line":1287,"kind":"class","docLink":"./Init/Prelude.html#Div","doc":"The homogeneous version of `HDiv`: `a / b : α` where `a b : α`. "},"DecidableRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L832-L833","name":"DecidableRel","line":832,"kind":"def","docLink":"./Init/Prelude.html#DecidableRel","doc":"A decidable relation. See `Decidable`. "},"DecidablePred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L828-L829","name":"DecidablePred","line":828,"kind":"def","docLink":"./Init/Prelude.html#DecidablePred","doc":"A decidable predicate. See `Decidable`. "},"DecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L839-L840","name":"DecidableEq","line":839,"kind":"def","docLink":"./Init/Prelude.html#DecidableEq","doc":"Asserts that `α` has decidable equality, that is, `a = b` is decidable\nfor all `a b : α`. See `Decidable`.\n"},"Decidable.of_not_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L741-L742","name":"Decidable.of_not_not","line":741,"kind":"theorem","docLink":"./Init/Core.html#Decidable.of_not_not","doc":""},"Decidable.not_and_iff_or_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L744-L752","name":"Decidable.not_and_iff_or_not","line":744,"kind":"theorem","docLink":"./Init/Core.html#Decidable.not_and_iff_or_not","doc":""},"Decidable.isTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L813-L814","name":"Decidable.isTrue","line":813,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isTrue","doc":"Prove that `p` is decidable by supplying a proof of `p` "},"Decidable.isFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L811-L812","name":"Decidable.isFalse","line":811,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isFalse","doc":"Prove that `p` is decidable by supplying a proof of `¬p` "},"Decidable.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L734-L735","name":"Decidable.em","line":734,"kind":"theorem","docLink":"./Init/Core.html#Decidable.em","doc":""},"Decidable.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L822-L823","name":"Decidable.decide","line":822,"kind":"def","docLink":"./Init/Prelude.html#Decidable.decide","doc":"Convert a decidable proposition into a boolean value.\n\nIf `p : Prop` is decidable, then `decide p : Bool` is the boolean value\nwhich is `true` if `p` is true and `false` if `p` is false.\n"},"Decidable.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L738-L739","name":"Decidable.byContradiction","line":738,"kind":"theorem","docLink":"./Init/Core.html#Decidable.byContradiction","doc":""},"Decidable.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L729-L732","name":"Decidable.byCases","line":729,"kind":"def","docLink":"./Init/Core.html#Decidable.byCases","doc":"Synonym for `dite` (dependent if-then-else). We can construct an element `q`\n(of any sort, not just a proposition) by cases on whether `p` is true or false,\nprovided `p` is decidable.\n"},"Decidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L810-L814","name":"Decidable","line":810,"kind":"class","docLink":"./Init/Prelude.html#Decidable","doc":"`Decidable p` is a data-carrying class that supplies a proof that `p` is\neither `true` or `false`. It is equivalent to `Bool` (and in fact it has the\nsame code generation as `Bool`) together with a proof that the `Bool` is\ntrue iff `p` is.\n\n`Decidable` instances are used to infer \"computation strategies\" for\npropositions, so that you can have the convenience of writing propositions\ninside `if` statements and executing them (which actually executes the inferred\ndecidability instance instead of the proposition, which has no code).\n\nIf a proposition `p` is `Decidable`, then `(by decide : p)` will prove it by\nevaluating the decidability instance to `isTrue h` and returning `h`.\n"},"Complement.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1350-L1350","name":"Complement.mk","line":1350,"kind":"ctor","docLink":"./Init/Prelude.html#Complement.mk","doc":""},"Complement.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1352-L1352","name":"Complement.complement","line":1352,"kind":"def","docLink":"./Init/Prelude.html#Complement.complement","doc":"The implementation of `~~~a : α`. "},"Complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1350-L1352","name":"Complement","line":1350,"kind":"class","docLink":"./Init/Prelude.html#Complement","doc":"The typeclass behind the notation `~~~a : α` where `a : α`. "},"CoeTail.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L202-L202","name":"CoeTail.mk","line":202,"kind":"ctor","docLink":"./Init/Coe.html#CoeTail.mk","doc":""},"CoeTail.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L205-L205","name":"CoeTail.coe","line":205,"kind":"def","docLink":"./Init/Coe.html#CoeTail.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L202-L205","name":"CoeTail","line":202,"kind":"class","docLink":"./Init/Coe.html#CoeTail","doc":"`CoeTail α β` is for coercions that can only appear at the end of a\nsequence of coercions. That is, `α` can be further coerced via `Coe σ α` and\n`CoeHead τ σ` instances but `β` will only be the expected type of the expression.\n"},"CoeTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L136-L136","name":"CoeTC.mk","line":136,"kind":"ctor","docLink":"./Init/Coe.html#CoeTC.mk","doc":""},"CoeTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L139-L139","name":"CoeTC.coe","line":139,"kind":"def","docLink":"./Init/Coe.html#CoeTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L136-L139","name":"CoeTC","line":136,"kind":"class","docLink":"./Init/Coe.html#CoeTC","doc":"Auxiliary class implementing `Coe*`.\nUsers should generally not implement this directly.\n"},"CoeT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L244-L244","name":"CoeT.mk","line":244,"kind":"ctor","docLink":"./Init/Coe.html#CoeT.mk","doc":""},"CoeT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L248-L248","name":"CoeT.coe","line":248,"kind":"def","docLink":"./Init/Coe.html#CoeT.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L244-L248","name":"CoeT","line":244,"kind":"class","docLink":"./Init/Coe.html#CoeT","doc":"`CoeT` is the core typeclass which is invoked by Lean to resolve a type error.\nIt can also be triggered explicitly with the notation `↑x` or by double type\nascription `((x : α) : β)`.\n\nA `CoeT` chain has the grammar `CoeHead? CoeOut* Coe* CoeTail? | CoeDep`.\n"},"CoeSort.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L277-L277","name":"CoeSort.mk","line":277,"kind":"ctor","docLink":"./Init/Coe.html#CoeSort.mk","doc":""},"CoeSort.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L279-L279","name":"CoeSort.coe","line":279,"kind":"def","docLink":"./Init/Coe.html#CoeSort.coe","doc":"Coerces a value of type `α` to `β`, which must be a universe. "},"CoeSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L277-L279","name":"CoeSort","line":277,"kind":"class","docLink":"./Init/Coe.html#CoeSort","doc":"`CoeSort α β` is a coercion to a sort. `β` must be a universe, and this is\ntriggered when `a : α` appears in a place where a type is expected, like\n`(x : a)` or `a → a`.\n`CoeSort` instances apply to `CoeOut` as well.\n"},"CoeOut.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L149-L149","name":"CoeOut.mk","line":149,"kind":"ctor","docLink":"./Init/Coe.html#CoeOut.mk","doc":""},"CoeOut.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L152-L152","name":"CoeOut.coe","line":152,"kind":"def","docLink":"./Init/Coe.html#CoeOut.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOut":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L149-L152","name":"CoeOut","line":149,"kind":"class","docLink":"./Init/Coe.html#CoeOut","doc":"`CoeOut α β` is for coercions that are applied from left-to-right.\n"},"CoeOTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L159-L159","name":"CoeOTC.mk","line":159,"kind":"ctor","docLink":"./Init/Coe.html#CoeOTC.mk","doc":""},"CoeOTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L162-L162","name":"CoeOTC.coe","line":162,"kind":"def","docLink":"./Init/Coe.html#CoeOTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L159-L162","name":"CoeOTC","line":159,"kind":"class","docLink":"./Init/Coe.html#CoeOTC","doc":"Auxiliary class implementing `CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeHead.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L177-L177","name":"CoeHead.mk","line":177,"kind":"ctor","docLink":"./Init/Coe.html#CoeHead.mk","doc":""},"CoeHead.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L180-L180","name":"CoeHead.coe","line":180,"kind":"def","docLink":"./Init/Coe.html#CoeHead.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHead":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L177-L180","name":"CoeHead","line":177,"kind":"class","docLink":"./Init/Coe.html#CoeHead","doc":"`CoeHead α β` is for coercions that are applied from left-to-right at most once\nat beginning of the coercion chain.\n"},"CoeHTCT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L212-L212","name":"CoeHTCT.mk","line":212,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTCT.mk","doc":""},"CoeHTCT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L215-L215","name":"CoeHTCT.coe","line":215,"kind":"def","docLink":"./Init/Coe.html#CoeHTCT.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTCT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L212-L215","name":"CoeHTCT","line":212,"kind":"class","docLink":"./Init/Coe.html#CoeHTCT","doc":"Auxiliary class implementing `CoeHead* Coe* CoeTail?`.\nUsers should generally not implement this directly.\n"},"CoeHTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L187-L187","name":"CoeHTC.mk","line":187,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTC.mk","doc":""},"CoeHTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L190-L190","name":"CoeHTC.coe","line":190,"kind":"def","docLink":"./Init/Coe.html#CoeHTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L187-L190","name":"CoeHTC","line":187,"kind":"class","docLink":"./Init/Coe.html#CoeHTC","doc":"Auxiliary class implementing `CoeHead CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeFun.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L262-L262","name":"CoeFun.mk","line":262,"kind":"ctor","docLink":"./Init/Coe.html#CoeFun.mk","doc":""},"CoeFun.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L266-L266","name":"CoeFun.coe","line":266,"kind":"def","docLink":"./Init/Coe.html#CoeFun.coe","doc":"Coerces a value `f : α` to type `γ f`, which should be either be a\nfunction type or another `CoeFun` type, in order to resolve a mistyped\napplication `f x`. "},"CoeFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L262-L266","name":"CoeFun","line":262,"kind":"class","docLink":"./Init/Coe.html#CoeFun","doc":"`CoeFun α (γ : α → Sort v)` is a coercion to a function. `γ a` should be a\n(coercion-to-)function type, and this is triggered whenever an element\n`f : α` appears in an application like `f x`, which would not make sense since\n`f` does not have a function type.\n`CoeFun` instances apply to `CoeOut` as well.\n"},"CoeDep.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L230-L230","name":"CoeDep.mk","line":230,"kind":"ctor","docLink":"./Init/Coe.html#CoeDep.mk","doc":""},"CoeDep.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L234-L234","name":"CoeDep.coe","line":234,"kind":"def","docLink":"./Init/Coe.html#CoeDep.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L230-L234","name":"CoeDep","line":230,"kind":"class","docLink":"./Init/Coe.html#CoeDep","doc":"`CoeDep α (x : α) β` is a typeclass for dependent coercions, that is, the type `β`\ncan depend on `x` (or rather, the value of `x` is available to typeclass search\nso an instance that relates `β` to `x` is allowed).\n\nDependent coercions do not participate in the transitive chaining process of\nregular coercions: they must exactly match the type mismatch on both sides.\n"},"Coe.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L126-L126","name":"Coe.mk","line":126,"kind":"ctor","docLink":"./Init/Coe.html#Coe.mk","doc":""},"Coe.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L129-L129","name":"Coe.coe","line":129,"kind":"def","docLink":"./Init/Coe.html#Coe.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"Coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L126-L129","name":"Coe","line":126,"kind":"class","docLink":"./Init/Coe.html#Coe","doc":"`Coe α β` is the typeclass for coercions from `α` to `β`. It can be transitively\nchained with other `Coe` instances, and coercion is automatically used when\n`x` has type `α` but it is used in a context where `β` is expected.\nYou can use the `↑x` operator to explicitly trigger coercion.\n"},"Classical.«tacticBy_cases_:_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L126-L129","name":"Classical.«tacticBy_cases_:_»","line":126,"kind":"def","docLink":"./Init/Classical.html#Classical.«tacticBy_cases_:_»","doc":"`by_cases (h :)? p` splits the main goal into two cases, assuming `h : p` in the first branch, and `h : ¬ p` in the second branch.\n"},"Classical.typeDecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L77-L78","name":"Classical.typeDecidableEq","line":77,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidableEq","doc":""},"Classical.typeDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L80-L83","name":"Classical.typeDecidable","line":80,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidable","doc":""},"Classical.strongIndefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L85-L91","name":"Classical.strongIndefiniteDescription","line":85,"kind":"def","docLink":"./Init/Classical.html#Classical.strongIndefiniteDescription","doc":""},"Classical.skolem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L110-L111","name":"Classical.skolem","line":110,"kind":"theorem","docLink":"./Init/Classical.html#Classical.skolem","doc":""},"Classical.propDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L69-L72","name":"Classical.propDecidable","line":69,"kind":"def","docLink":"./Init/Classical.html#Classical.propDecidable","doc":"All propositions are `Decidable`. "},"Classical.propComplete":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L113-L116","name":"Classical.propComplete","line":113,"kind":"theorem","docLink":"./Init/Classical.html#Classical.propComplete","doc":""},"Classical.ofNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L731-L732","name":"Classical.ofNonempty","line":731,"kind":"def","docLink":"./Init/Prelude.html#Classical.ofNonempty","doc":"A variation on `Classical.choice` that uses typeclass inference to\ninfer the proof of `Nonempty α`.\n"},"Classical.inhabited_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L62-L63","name":"Classical.inhabited_of_nonempty","line":62,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_nonempty","doc":""},"Classical.inhabited_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L65-L66","name":"Classical.inhabited_of_exists","line":65,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_exists","doc":""},"Classical.indefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L16-L17","name":"Classical.indefiniteDescription","line":16,"kind":"def","docLink":"./Init/Classical.html#Classical.indefiniteDescription","doc":""},"Classical.exists_true_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L59-L60","name":"Classical.exists_true_of_nonempty","line":59,"kind":"theorem","docLink":"./Init/Classical.html#Classical.exists_true_of_nonempty","doc":""},"Classical.epsilon_spec_aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L97-L98","name":"Classical.epsilon_spec_aux","line":97,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec_aux","doc":""},"Classical.epsilon_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L100-L101","name":"Classical.epsilon_spec","line":100,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec","doc":""},"Classical.epsilon_singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L103-L104","name":"Classical.epsilon_singleton","line":103,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_singleton","doc":""},"Classical.epsilon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L94-L95","name":"Classical.epsilon","line":94,"kind":"def","docLink":"./Init/Classical.html#Classical.epsilon","doc":"the Hilbert epsilon Function "},"Classical.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L26-L57","name":"Classical.em","line":26,"kind":"theorem","docLink":"./Init/Classical.html#Classical.em","doc":"Diaconescu's theorem: excluded middle from choice, Function extensionality and propositional extensionality. "},"Classical.decidableInhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L74-L75","name":"Classical.decidableInhabited","line":74,"kind":"def","docLink":"./Init/Classical.html#Classical.decidableInhabited","doc":""},"Classical.choose_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L22-L23","name":"Classical.choose_spec","line":22,"kind":"theorem","docLink":"./Init/Classical.html#Classical.choose_spec","doc":""},"Classical.choose":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L19-L20","name":"Classical.choose","line":19,"kind":"def","docLink":"./Init/Classical.html#Classical.choose","doc":""},"Classical.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L712-L712","name":"Classical.choice","line":712,"kind":"axiom","docLink":"./Init/Prelude.html#Classical.choice","doc":"**The axiom of choice**. `Nonempty α` is a proof that `α` has an element,\nbut the element itself is erased. The axiom `choice` supplies a particular\nelement of `α` given only this proof.\n\nThe textbook axiom of choice normally makes a family of choices all at once,\nbut that is implied from this formulation, because if `α : ι → Type` is a\nfamily of types and `h : ∀ i, Nonempty (α i)` is a proof that they are all\nnonempty, then `fun i => Classical.choice (h i) : ∀ i, α i` is a family of\nchosen elements. This is actually a bit stronger than the ZFC choice axiom;\nthis is sometimes called \"[global choice](https://en.wikipedia.org/wiki/Axiom_of_global_choice)\".\n\nIn lean, we use the axiom of choice to derive the law of excluded middle\n(see `Classical.em`), so it will often show up in axiom listings where you\nmay not expect. You can use `#print axioms my_thm` to find out if a given\ntheorem depends on this or other axioms.\n\nThis axiom can be used to construct \"data\", but obviously there is no algorithm\nto compute it, so lean will require you to mark any definition that would\ninvolve executing `Classical.choice` or other axioms as `noncomputable`, and\nwill not produce any executable code for such definitions.\n"},"Classical.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L123-L124","name":"Classical.byContradiction","line":123,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byContradiction","doc":""},"Classical.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L119-L120","name":"Classical.byCases","line":119,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byCases","doc":""},"Classical.axiomOfChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L107-L108","name":"Classical.axiomOfChoice","line":107,"kind":"theorem","docLink":"./Init/Classical.html#Classical.axiomOfChoice","doc":"the axiom of choice "},"Char.valid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2057-L2057","name":"Char.valid","line":2057,"kind":"def","docLink":"./Init/Prelude.html#Char.valid","doc":"The value must be a legal codepoint. "},"Char.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2091-L2092","name":"Char.val_ne_of_ne","line":2091,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_ne_of_ne","doc":""},"Char.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2085-L2086","name":"Char.val_eq_of_eq","line":2085,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_eq_of_eq","doc":""},"Char.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2055-L2055","name":"Char.val","line":2055,"kind":"def","docLink":"./Init/Prelude.html#Char.val","doc":"The underlying unicode scalar value as a `UInt32`. "},"Char.utf8Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2101-L2109","name":"Char.utf8Size","line":2101,"kind":"def","docLink":"./Init/Prelude.html#Char.utf8Size","doc":"Returns the number of bytes required to encode this `Char` in UTF-8. "},"Char.utf16Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L17-L18","name":"Char.utf16Size","line":17,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#Char.utf16Size","doc":""},"Char.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L94-L96","name":"Char.toUpper","line":94,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toUpper","doc":"Convert a lower case character to its upper case character.\n\nOnly works on basic latin letters.\n"},"Char.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L765-L766","name":"Char.toString","line":765,"kind":"def","docLink":"./Init/Data/String/Basic.html#Char.toString","doc":""},"Char.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L52-L53","name":"Char.toNat","line":52,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toNat","doc":"Underlying unicode code point as a `Nat`. "},"Char.toLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L86-L88","name":"Char.toLower","line":86,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toLower","doc":"Convert an upper case character to its lower case character.\n\nOnly works on basic latin letters.\n"},"Char.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L29-L30","name":"Char.sizeOf","line":29,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Char.sizeOf","doc":""},"Char.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L200-L201","name":"Char.repr","line":200,"kind":"def","docLink":"./Init/Data/Repr.html#Char.repr","doc":""},"Char.quoteCore.smallCharToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L188-L192","name":"Char.quoteCore.smallCharToHex","line":188,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore.smallCharToHex","doc":""},"Char.quoteCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L180-L192","name":"Char.quoteCore","line":180,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore","doc":""},"Char.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L194-L195","name":"Char.quote","line":194,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quote","doc":""},"Char.ofNatAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2069-L2070","name":"Char.ofNatAux","line":2069,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNatAux","doc":"Pack a `Nat` encoding a valid codepoint into a `Char`.\nThis function is overridden with a native implementation.\n"},"Char.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2077-L2080","name":"Char.ofNat","line":2077,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNat","doc":"Convert a `Nat` into a `Char`. If the `Nat` does not encode a valid unicode scalar value,\n`'\\0'` is returned instead.\n"},"Char.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2088-L2089","name":"Char.ne_of_val_ne","line":2088,"kind":"theorem","docLink":"./Init/Prelude.html#Char.ne_of_val_ne","doc":""},"Char.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"Char.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Char.mk","doc":""},"Char.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L18-L18","name":"Char.lt","line":18,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.lt","doc":""},"Char.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L19-L19","name":"Char.le","line":19,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.le","doc":""},"Char.isWhitespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L59-L60","name":"Char.isWhitespace","line":59,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isWhitespace","doc":"Is the character a space (U+0020) a tab (U+0009), a carriage return (U+000D) or a newline (U+000A)? "},"Char.isValidUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L34-L41","name":"Char.isValidUInt32","line":34,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidUInt32","doc":""},"Char.isValidChar_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L48-L49","name":"Char.isValidChar_zero","line":48,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_zero","doc":""},"Char.isValidChar_of_isValidChar_Nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L43-L46","name":"Char.isValidChar_of_isValidChar_Nat","line":43,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_of_isValidChar_Nat","doc":""},"Char.isValidCharNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L31-L32","name":"Char.isValidCharNat","line":31,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isValidCharNat","doc":"Determines if the given nat is a valid [Unicode scalar value](https://www.unicode.org/glossary/#unicode_scalar_value)."},"Char.isUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L63-L64","name":"Char.isUpper","line":63,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isUpper","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZ`? "},"Char.isLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L67-L68","name":"Char.isLower","line":67,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isLower","doc":"Is the character in `abcdefghijklmnopqrstuvwxyz`? "},"Char.isDigit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L75-L76","name":"Char.isDigit","line":75,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isDigit","doc":"Is the character in `0123456789`? "},"Char.isAlphanum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L79-L80","name":"Char.isAlphanum","line":79,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlphanum","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789`? "},"Char.isAlpha":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L71-L72","name":"Char.isAlpha","line":71,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlpha","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz`? "},"Char.instLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L21-L21","name":"Char.instLTChar","line":21,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLTChar","doc":""},"Char.instLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L22-L22","name":"Char.instLEChar","line":22,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLEChar","doc":""},"Char.instInhabitedChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L55-L56","name":"Char.instInhabitedChar","line":55,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instInhabitedChar","doc":""},"Char.instDecidableLtCharInstLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L24-L25","name":"Char.instDecidableLtCharInstLTChar","line":24,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLtCharInstLTChar","doc":""},"Char.instDecidableLeCharInstLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L27-L28","name":"Char.instDecidableLeCharInstLEChar","line":27,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLeCharInstLEChar","doc":""},"Char.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2082-L2083","name":"Char.eq_of_val_eq","line":2082,"kind":"theorem","docLink":"./Init/Prelude.html#Char.eq_of_val_eq","doc":""},"Char":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2053-L2057","name":"Char","line":2053,"kind":"structure","docLink":"./Init/Prelude.html#Char","doc":"The `Char` Type represents an unicode scalar value.\nSee http://www.unicode.org/glossary/#unicode_scalar_value). "},"ByteArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L67-L68","name":"ByteArray.uset","line":67,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uset","doc":""},"ByteArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L41-L42","name":"ByteArray.uget","line":41,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uget","doc":""},"ByteArray.toUInt64LE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L197-L206","name":"ByteArray.toUInt64LE!","line":197,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64LE!","doc":"Interpret a `ByteArray` of size 8 as a little-endian `UInt64`. "},"ByteArray.toUInt64BE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L209-L218","name":"ByteArray.toUInt64BE!","line":209,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64BE!","doc":"Interpret a `ByteArray` of size 8 as a big-endian `UInt64`. 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"},"ByteArray.foldlMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L151-L155","name":"ByteArray.foldlMUnsafe.fold","line":151,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe.fold","doc":""},"ByteArray.foldlMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L150-L162","name":"ByteArray.foldlMUnsafe","line":150,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe","doc":"See comment at `forInUnsafe` "},"ByteArray.foldlM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L168-L175","name":"ByteArray.foldlM.loop","line":168,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM.loop","doc":""},"ByteArray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L166-L180","name":"ByteArray.foldlM","line":166,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM","doc":"Reference implementation for `foldlM` "},"ByteArray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L183-L184","name":"ByteArray.foldl","line":183,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldl","doc":""},"ByteArray.findIdx?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L104-L108","name":"ByteArray.findIdx?.loop","line":104,"kind":"opaque","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?.loop","doc":""},"ByteArray.findIdx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L103-L109","name":"ByteArray.findIdx?","line":103,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?","doc":""},"ByteArray.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L86-L87","name":"ByteArray.extract","line":86,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.extract","doc":""},"ByteArray.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L24-L24","name":"ByteArray.empty","line":24,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.empty","doc":""},"ByteArray.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L14-L14","name":"ByteArray.data","line":14,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.data","doc":""},"ByteArray.copySlice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L83-L84","name":"ByteArray.copySlice","line":83,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.copySlice","doc":"Copy 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boolean value `false`, not to be confused with the proposition `False`. "},"Bool.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L871-L876","name":"Bool.decEq","line":871,"kind":"def","docLink":"./Init/Prelude.html#Bool.decEq","doc":"Decidable equality for Bool "},"Bool.beq_to_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L131-L132","name":"Bool.beq_to_eq","line":131,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.beq_to_eq","doc":""},"Bool.and_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L111-L111","name":"Bool.and_true","line":111,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_true","doc":""},"Bool.and_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L114-L114","name":"Bool.and_self","line":114,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_self","doc":""},"Bool.and_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L110-L110","name":"Bool.and_false","line":110,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_false","doc":""},"Bool.and_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L115-L116","name":"Bool.and_eq_true","line":115,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_eq_true","doc":""},"Bool.and_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L118-L119","name":"Bool.and_assoc","line":118,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_assoc","doc":""},"Bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L545-L549","name":"Bool","line":545,"kind":"inductive","docLink":"./Init/Prelude.html#Bool","doc":"`Bool` is the type of boolean values, `true` and `false`. Classically,\nthis is equivalent to `Prop` (the type of propositions), but the distinction\nis important for programming, because values of type `Prop` are erased in the\ncode generator, while `Bool` corresponds to the type called `bool` or `boolean`\nin most programming 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This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"Bitvec.ult":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"Bitvec.ule":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"Bitvec.ugt":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"Bitvec.uge":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"Bitvec.udiv?":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"Bitvec.toZMod_zsmul":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"Bitvec.toZMod_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"Bitvec.toZMod_val":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"Bitvec.toZMod_sub":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"Bitvec.toZMod_sbb":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"Bitvec.toZMod_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"Bitvec.toZMod_ofZMod":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"Bitvec.toZMod_nsmul":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"Bitvec.toZMod_neg":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"Bitvec.toZMod_add":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"Bitvec.toZMod":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"Bitvec.toNat_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"Bitvec.toNat_tail":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"Bitvec.toNat_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"Bitvec.toNat_add":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"Bitvec.toNat_adc_aux":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"Bitvec.toNat_adc":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"Bitvec.toList_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"Bitvec.toList_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"Bitvec.toList_cong":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"Bitvec.toInt_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"Bitvec.toInt_sub_aux":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"Bitvec.toInt_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"Bitvec.toInt_neg_aux":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"Bitvec.toInt_injective":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"Bitvec.toInt_eq_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"Bitvec.toFun":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"Bitvec.toBool_ofBool":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"Bitvec.toBool":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"Bitvec.srem?":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"Bitvec.some_add?_eq_add":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"Bitvec.slt":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"Bitvec.sle":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"Bitvec.shl_ushr_eq_and_shl":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"Bitvec.sgt":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"Bitvec.sge":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"Bitvec.select":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"Bitvec.sdiv?":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by 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"},"Bind.kleisliLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L242-L243","name":"Bind.kleisliLeft","line":242,"kind":"def","docLink":"./Init/Control/Basic.html#Bind.kleisliLeft","doc":"Right-to-left composition of Kleisli arrows. "},"Bind.bindLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L247-L248","name":"Bind.bindLeft","line":247,"kind":"def","docLink":"./Init/Control/Basic.html#Bind.bindLeft","doc":"Same as `Bind.bind` but with arguments swapped. 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"},"BaseType.toType":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"BaseType.tensor2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"BaseType.tensor2d","line":96,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.tensor2d","doc":""},"BaseType.ix":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L95-L95","name":"BaseType.ix","line":95,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.ix","doc":""},"BaseType.int":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L94-L94","name":"BaseType.int","line":94,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.int","doc":""},"BaseType":{"sourceLink":"https://github.com/opencompl/ssa/blob/d26e1a5f4dd1a1ef5b4342115e006b8bf6e901de/SSA/Projects/Tensor2D/Tensor2D.lean#L93-L97","name":"BaseType","line":93,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType","doc":""},"BaseIO.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L68-L69","name":"BaseIO.toIO","line":68,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toIO","doc":""},"BaseIO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L47-L49","name":"BaseIO.toEIO","line":47,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toEIO","doc":""},"BaseIO.mapTasks.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L131-L134","name":"BaseIO.mapTasks.go","line":131,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks.go","doc":""},"BaseIO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L128-L134","name":"BaseIO.mapTasks","line":128,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks","doc":""},"BaseIO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L120-L121","name":"BaseIO.mapTask","line":120,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.mapTask","doc":"See `BaseIO.asTask`. "},"BaseIO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L125-L126","name":"BaseIO.bindTask","line":125,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.bindTask","doc":"See `BaseIO.asTask`. "},"BaseIO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L115-L116","name":"BaseIO.asTask","line":115,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.asTask","doc":"Run `act` in a separate `Task`.\nThis is similar to Haskell's [`unsafeInterleaveIO`](http://hackage.haskell.org/package/base-4.14.0.0/docs/System-IO-Unsafe.html#v:unsafeInterleaveIO),\nexcept that the `Task` is started eagerly as usual. Thus pure accesses to the `Task` do not influence the impure `act`\ncomputation.\nUnlike with pure tasks created by `Task.spawn`, tasks created by this function will be run even if the last reference\nto the task is dropped. The `act` should manually check for cancellation via `IO.checkCanceled` if it wants to react\nto that. "},"BaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L41-L41","name":"BaseIO","line":41,"kind":"def","docLink":"./Init/System/IO.html#BaseIO","doc":"An `EIO` monad that cannot throw exceptions. "},"BEq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L889-L889","name":"BEq.mk","line":889,"kind":"ctor","docLink":"./Init/Prelude.html#BEq.mk","doc":""},"BEq.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L891-L891","name":"BEq.beq","line":891,"kind":"def","docLink":"./Init/Prelude.html#BEq.beq","doc":"Boolean equality, notated as `a == b`. "},"BEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L889-L891","name":"BEq","line":889,"kind":"class","docLink":"./Init/Prelude.html#BEq","doc":"`BEq α` is a typeclass for supplying a boolean-valued equality relation on\n`α`, notated as `a == b`. Unlike `DecidableEq α` (which uses `a = b`), this\nis `Bool` valued instead of `Prop` valued, and it also does not have any\naxioms like being reflexive or agreeing with `=`. It is mainly intended for\nprogramming applications. See `LawfulBEq` for a version that requires that\n`==` and `=` coincide.\n"},"Array.«term__[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L154-L154","name":"Array.«term__[_:_]»","line":154,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:_]»","doc":""},"Array.«term__[_:]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L155-L155","name":"Array.«term__[_:]»","line":155,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:]»","doc":""},"Array.«term__[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L156-L156","name":"Array.«term__[:_]»","line":156,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[:_]»","doc":""},"Array.zipWithAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L804-L814","name":"Array.zipWithAux","line":804,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWithAux","doc":""},"Array.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L816-L817","name":"Array.zipWith","line":816,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWith","doc":""},"Array.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L819-L820","name":"Array.zip","line":819,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zip","doc":""},"Array.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L71-L72","name":"Array.uset","line":71,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uset","doc":"Low-level version of `fset` which is as fast as a C array fset.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fset` may be slightly slower than `uset`. "},"Array.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L822-L823","name":"Array.unzip","line":822,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.unzip","doc":""},"Array.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L41-L42","name":"Array.uget","line":41,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uget","doc":"Low-level version of `fget` which is as fast as a C array read.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fget` may be slightly slower than `uget`. "},"Array.toSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L134-L144","name":"Array.toSubarray","line":134,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.toSubarray","doc":""},"Array.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/PersistentArray.lean#L383-L384","name":"Array.toPArray'","line":383,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#Array.toPArray'","doc":""},"Array.toListLitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L736-L738","name":"Array.toListLitAux","line":736,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toListLitAux","doc":""},"Array.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L471-L472","name":"Array.toList","line":471,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toList","doc":""},"Array.toArrayLit_eq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L764-L765","name":"Array.toArrayLit_eq.go","line":764,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.go","doc":""},"Array.toArrayLit_eq.getLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L761-L762","name":"Array.toArrayLit_eq.getLit_eq","line":761,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.getLit_eq","doc":""},"Array.toArrayLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L752-L765","name":"Array.toArrayLit_eq","line":752,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq","doc":""},"Array.toArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L740-L741","name":"Array.toArrayLit","line":740,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit","doc":""},"Array.toArrayAux_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L746-L747","name":"Array.toArrayAux_eq","line":746,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayAux_eq","doc":""},"Array.takeWhile.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L671-L679","name":"Array.takeWhile.go","line":671,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile.go","doc":""},"Array.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L670-L681","name":"Array.takeWhile","line":670,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile","doc":""},"Array.tacticArray_get_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L53-L56","name":"Array.tacticArray_get_dec","line":53,"kind":"def","docLink":"./Init/Data/Array/Mem.html#Array.tacticArray_get_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf arr[i] < sizeOf arr`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : Array T → T`. "},"Array.swapAt!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L94-L99","name":"Array.swapAt!","line":94,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt!","doc":""},"Array.swapAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L88-L91","name":"Array.swapAt","line":88,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt","doc":""},"Array.swap!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L82-L86","name":"Array.swap!","line":82,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap!","doc":""},"Array.swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L75-L79","name":"Array.swap","line":75,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap","doc":""},"Array.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L825-L827","name":"Array.split","line":825,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.split","doc":""},"Array.size_swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L631-L633","name":"Array.size_swap","line":631,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_swap","doc":""},"Array.size_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L61-L62","name":"Array.size_set","line":61,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_set","doc":""},"Array.size_push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L64-L65","name":"Array.size_push","line":64,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_push","doc":""},"Array.size_pop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L635-L638","name":"Array.size_pop","line":635,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_pop","doc":""},"Array.size_mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L24-L25","name":"Array.size_mkArray","line":24,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_mkArray","doc":""},"Array.sizeOf_lt_of_mem.aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L34-L40","name":"Array.sizeOf_lt_of_mem.aux","line":34,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem.aux","doc":""},"Array.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L32-L42","name":"Array.sizeOf_lt_of_mem","line":32,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem","doc":""},"Array.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L26-L30","name":"Array.sizeOf_get_lt","line":26,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get_lt","doc":""},"Array.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L44-L48","name":"Array.sizeOf_get","line":44,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get","doc":""},"Array.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2516-L2517","name":"Array.size","line":2516,"kind":"def","docLink":"./Init/Prelude.html#Array.size","doc":"Get the size of an array. This is a cached value, so it is O(1) to access. "},"Array.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L34-L35","name":"Array.singleton","line":34,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.singleton","doc":""},"Array.shrink.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L107-L109","name":"Array.shrink.loop","line":107,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink.loop","doc":""},"Array.shrink":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L106-L110","name":"Array.shrink","line":106,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink","doc":""},"Array.setD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2596-L2597","name":"Array.setD","line":2596,"kind":"def","docLink":"./Init/Prelude.html#Array.setD","doc":"Set an element in an array, or do nothing if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2606-L2607","name":"Array.set!","line":2606,"kind":"def","docLink":"./Init/Prelude.html#Array.set!","doc":"Set an element in an array, or panic if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2587-L2588","name":"Array.set","line":2587,"kind":"def","docLink":"./Init/Prelude.html#Array.set","doc":"Set an element in an array without bounds checks, using a `Fin` index.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.sequenceMap.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2767-L2773","name":"Array.sequenceMap.loop","line":2767,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap.loop","doc":""},"Array.sequenceMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2766-L2774","name":"Array.sequenceMap","line":2766,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap","doc":"A fusion of Haskell's `sequence` and `map`. Used in syntax quotations. "},"Array.reverse.termination":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L640-L642","name":"Array.reverse.termination","line":640,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.reverse.termination","doc":""},"Array.reverse.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L650-L657","name":"Array.reverse.loop","line":650,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse.loop","doc":""},"Array.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L644-L658","name":"Array.reverse","line":644,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse","doc":""},"Array.qsort.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L33-L43","name":"Array.qsort.sort","line":33,"kind":"opaque","docLink":"./Init/Data/Array/QSort.html#Array.qsort.sort","doc":""},"Array.qsort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L32-L44","name":"Array.qsort","line":32,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qsort","doc":""},"Array.qpartition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L19-L28","name":"Array.qpartition.loop","line":19,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition.loop","doc":""},"Array.qpartition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L12-L30","name":"Array.qpartition","line":12,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition","doc":""},"Array.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2541-L2542","name":"Array.push","line":2541,"kind":"def","docLink":"./Init/Prelude.html#Array.push","doc":"Push an element onto the end of an array. 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"},"Array.mkArray8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2577-L2578","name":"Array.mkArray8","line":2577,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray8","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇, a₈]` "},"Array.mkArray7":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2573-L2574","name":"Array.mkArray7","line":2573,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray7","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇]` "},"Array.mkArray6":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2569-L2570","name":"Array.mkArray6","line":2569,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray6","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆]` "},"Array.mkArray5":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2565-L2566","name":"Array.mkArray5","line":2565,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray5","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅]` "},"Array.mkArray4":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2561-L2562","name":"Array.mkArray4","line":2561,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray4","doc":"Create array `#[a₁, a₂, a₃, a₄]` "},"Array.mkArray3":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2557-L2558","name":"Array.mkArray3","line":2557,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray3","doc":"Create array `#[a₁, a₂, a₃]` "},"Array.mkArray2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2553-L2554","name":"Array.mkArray2","line":2553,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray2","doc":"Create array `#[a₁, a₂]` "},"Array.mkArray1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2549-L2550","name":"Array.mkArray1","line":2549,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray1","doc":"Create array `#[a₁]` "},"Array.mkArray0":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2545-L2546","name":"Array.mkArray0","line":2545,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray0","doc":"Create array `#[]` "},"Array.mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L20-L22","name":"Array.mkArray","line":20,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mkArray","doc":""},"Array.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2498-L2498","name":"Array.mk","line":2498,"kind":"ctor","docLink":"./Init/Prelude.html#Array.mk","doc":"Convert a `List α` into an `Array α`. This function is overridden\nto `List.toArray` and is O(n) in the length of the list. "},"Array.mapSepElemsM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1087-L1088","name":"Array.mapSepElemsM","line":1087,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElemsM","doc":""},"Array.mapSepElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1090-L1091","name":"Array.mapSepElems","line":1090,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElems","doc":""},"Array.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L70-L71","name":"Array.mapMonoM","line":70,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMonoM","doc":"Monomorphic `Array.mapM`. The internal implementation uses pointer equality, and does not allocate a new array\nif the result of each `f a` is a pointer equal value `a`.\n"},"Array.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L73-L74","name":"Array.mapMono","line":73,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMono","doc":""},"Array.mapMUnsafe.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L256-L266","name":"Array.mapMUnsafe.map","line":256,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe.map","doc":""},"Array.mapMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L254-L267","name":"Array.mapMUnsafe","line":254,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe","doc":"See comment at `forInUnsafe` "},"Array.mapM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L274-L278","name":"Array.mapM.map","line":274,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM.map","doc":""},"Array.mapM'.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L43-L49","name":"Array.mapM'.go","line":43,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'.go","doc":""},"Array.mapM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L40-L50","name":"Array.mapM'","line":40,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'","doc":""},"Array.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L271-L280","name":"Array.mapM","line":271,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM","doc":"Reference implementation for `mapM` 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"},"AndOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1332-L1334","name":"AndOp","line":1332,"kind":"class","docLink":"./Init/Prelude.html#AndOp","doc":"The homogeneous version of `HAnd`: `a &&& b : α` where `a b : α`.\n(It is called `AndOp` because `And` is taken for the propositional connective.)\n"},"And.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L507-L507","name":"And.right","line":507,"kind":"def","docLink":"./Init/Prelude.html#And.right","doc":"Extract the right conjunct from a conjunction. `h : a ∧ b` then\n`h.right`, also notated as `h.2`, is a proof of `b`. "},"And.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L504-L504","name":"And.left","line":504,"kind":"def","docLink":"./Init/Prelude.html#And.left","doc":"Extract the left conjunct from a conjunction. `h : a ∧ b` then\n`h.left`, also notated as `h.1`, is a proof of `a`. "},"And.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L501-L501","name":"And.intro","line":501,"kind":"ctor","docLink":"./Init/Prelude.html#And.intro","doc":"`And.intro : a → b → a ∧ b` is the constructor for the And operation. "},"And.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L680-L681","name":"And.comm","line":680,"kind":"theorem","docLink":"./Init/Core.html#And.comm","doc":""},"And":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L499-L507","name":"And","line":499,"kind":"structure","docLink":"./Init/Prelude.html#And","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"Alternative.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L25-L25","name":"Alternative.orElse","line":25,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.orElse","doc":""},"Alternative.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L23-L23","name":"Alternative.mk","line":23,"kind":"ctor","docLink":"./Init/Control/Basic.html#Alternative.mk","doc":""},"Alternative.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L24-L24","name":"Alternative.failure","line":24,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.failure","doc":""},"Alternative":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L23-L25","name":"Alternative","line":23,"kind":"class","docLink":"./Init/Control/Basic.html#Alternative","doc":""},"Add.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1263-L1263","name":"Add.mk","line":1263,"kind":"ctor","docLink":"./Init/Prelude.html#Add.mk","doc":""},"Add.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1265-L1265","name":"Add.add","line":1265,"kind":"def","docLink":"./Init/Prelude.html#Add.add","doc":"`a + b` computes the sum of `a` and `b`. 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"},"«term_≤_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L304-L304","name":"«term_≤_»","line":304,"kind":"def","docLink":"./Init/Notation.html#«term_≤_»","doc":"The less-equal relation: `x ≤ y` "},"«term_≠_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L563-L563","name":"«term_≠_»","line":563,"kind":"def","docLink":"./Init/Core.html#«term_≠_»","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"«term_≈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L343-L343","name":"«term_≈_»","line":343,"kind":"def","docLink":"./Init/Core.html#«term_≈_»","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"«term_∨_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L329-L329","name":"«term_∨_»","line":329,"kind":"def","docLink":"./Init/Notation.html#«term_∨_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_∧_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L327-L327","name":"«term_∧_»","line":327,"kind":"def","docLink":"./Init/Notation.html#«term_∧_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_∘_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L268-L268","name":"«term_∘_»","line":268,"kind":"def","docLink":"./Init/Notation.html#«term_∘_»","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"«term_∉_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L337-L338","name":"«term_∉_»","line":337,"kind":"def","docLink":"./Init/Notation.html#«term_∉_»","doc":"`a ∉ b` is negated elementhood. It is notation for `¬ (a ∈ b)`. "},"«term_∈_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L336-L336","name":"«term_∈_»","line":336,"kind":"def","docLink":"./Init/Notation.html#«term_∈_»","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"«term_↔_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L95-L95","name":"«term_↔_»","line":95,"kind":"def","docLink":"./Init/Core.html#«term_↔_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_×_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L269-L269","name":"«term_×_»","line":269,"kind":"def","docLink":"./Init/Notation.html#«term_×_»","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"«term_×__1»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L87-L87","name":"«term_×__1»","line":87,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×__1»","doc":""},"«term_×'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L88-L88","name":"«term_×'_»","line":88,"kind":"def","docLink":"./Init/NotationExtra.html#«term_×'_»","doc":""},"«term_|||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L271-L271","name":"«term_|||_»","line":271,"kind":"def","docLink":"./Init/Notation.html#«term_|||_»","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_||_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L333-L333","name":"«term_||_»","line":333,"kind":"def","docLink":"./Init/Notation.html#«term_||_»","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not evaluated.\n"},"«term_|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L428-L432","name":"«term_|>_»","line":428,"kind":"def","docLink":"./Init/Notation.html#«term_|>_»","doc":"Haskell-like pipe operator `|>`. `x |> f` means the same as the same as `f x`,\nand it chains such that `x |> f |> g` is interpreted as `g (f x)`.\n"},"«term__[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L834-L835","name":"«term__[_]»","line":834,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term__[_]_?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L86-L86","name":"«term__[_]_?»","line":86,"kind":"def","docLink":"./Init/Util.html#«term__[_]_?»","doc":""},"«term__[_]_!»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L87-L87","name":"«term__[_]_!»","line":87,"kind":"def","docLink":"./Init/Util.html#«term__[_]_!»","doc":""},"«term__[_]'_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L838-L839","name":"«term__[_]'_»","line":838,"kind":"def","docLink":"./Init/Tactics.html#«term__[_]'_»","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"«term_^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L281-L281","name":"«term_^_»","line":281,"kind":"def","docLink":"./Init/Notation.html#«term_^_»","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"«term_^^^_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L272-L272","name":"«term_^^^_»","line":272,"kind":"def","docLink":"./Init/Notation.html#«term_^^^_»","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_\\/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L328-L328","name":"«term_\\/_»","line":328,"kind":"def","docLink":"./Init/Notation.html#«term_\\/_»","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"«term_>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L308-L308","name":"«term_>_»","line":308,"kind":"def","docLink":"./Init/Notation.html#«term_>_»","doc":"`a > b` is an abbreviation for `b < a`. "},"«term_>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L342-L342","name":"«term_>>_»","line":342,"kind":"def","docLink":"./Init/Notation.html#«term_>>_»","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_>>>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L280-L280","name":"«term_>>>_»","line":280,"kind":"def","docLink":"./Init/Notation.html#«term_>>>_»","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"«term_>>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L343-L343","name":"«term_>>=_»","line":343,"kind":"def","docLink":"./Init/Notation.html#«term_>>=_»","doc":"If `x : m α` and `f : α → m β`, then `x >>= f : m β` represents the\nresult of executing `x` to get a value of type `α` and then passing it to `f`. "},"«term_>=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L306-L306","name":"«term_>=_»","line":306,"kind":"def","docLink":"./Init/Notation.html#«term_>=_»","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"«term_>=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L252-L252","name":"«term_>=>_»","line":252,"kind":"def","docLink":"./Init/Control/Basic.html#«term_>=>_»","doc":"Left-to-right composition of Kleisli arrows. "},"«term_=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L309-L309","name":"«term_=_»","line":309,"kind":"def","docLink":"./Init/Notation.html#«term_=_»","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"«term_==_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L310-L310","name":"«term_==_»","line":310,"kind":"def","docLink":"./Init/Notation.html#«term_==_»","doc":"Boolean equality, notated as `a == b`. "},"«term_=<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L254-L254","name":"«term_=<<_»","line":254,"kind":"def","docLink":"./Init/Control/Basic.html#«term_=<<_»","doc":"Same as `Bind.bind` but with arguments swapped. "},"«term_<||>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L58-L58","name":"«term_<||>_»","line":58,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<||>_»","doc":""},"«term_<|_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L417-L422","name":"«term_<|_»","line":417,"kind":"def","docLink":"./Init/Notation.html#«term_<|_»","doc":"Haskell-like pipe operator `<|`. `f <| x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f <| g <| x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L341-L341","name":"«term_<|>_»","line":341,"kind":"def","docLink":"./Init/Notation.html#«term_<|>_»","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"«term_<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L305-L305","name":"«term_<_»","line":305,"kind":"def","docLink":"./Init/Notation.html#«term_<_»","doc":"The less-than relation: `x < y` "},"«term_<=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L303-L303","name":"«term_<=_»","line":303,"kind":"def","docLink":"./Init/Notation.html#«term_<=_»","doc":"The less-equal relation: `x ≤ y` "},"«term_<=<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L253-L253","name":"«term_<=<_»","line":253,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<=<_»","doc":"Right-to-left composition of Kleisli arrows. "},"«term_<<<_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L279-L279","name":"«term_<<<_»","line":279,"kind":"def","docLink":"./Init/Notation.html#«term_<<<_»","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"«term_<->_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L94-L94","name":"«term_<->_»","line":94,"kind":"def","docLink":"./Init/Core.html#«term_<->_»","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"«term_<*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L345-L345","name":"«term_<*_»","line":345,"kind":"def","docLink":"./Init/Notation.html#«term_<*_»","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_<*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L344-L344","name":"«term_<*>_»","line":344,"kind":"def","docLink":"./Init/Notation.html#«term_<*>_»","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"«term_<&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L15-L15","name":"«term_<&>_»","line":15,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&>_»","doc":""},"«term_<&&>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L66-L66","name":"«term_<&&>_»","line":66,"kind":"def","docLink":"./Init/Control/Basic.html#«term_<&&>_»","doc":""},"«term_<$>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L347-L347","name":"«term_<$>_»","line":347,"kind":"def","docLink":"./Init/Notation.html#«term_<$>_»","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"«term_::_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L340-L340","name":"«term_::_»","line":340,"kind":"def","docLink":"./Init/Notation.html#«term_::_»","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"«term_/_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L277-L277","name":"«term_/_»","line":277,"kind":"def","docLink":"./Init/Notation.html#«term_/_»","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"«term_/\\_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L326-L326","name":"«term_/\\_»","line":326,"kind":"def","docLink":"./Init/Notation.html#«term_/\\_»","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"«term_-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L275-L275","name":"«term_-_»","line":275,"kind":"def","docLink":"./Init/Notation.html#«term_-_»","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"«term_+_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L274-L274","name":"«term_+_»","line":274,"kind":"def","docLink":"./Init/Notation.html#«term_+_»","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_++_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L282-L282","name":"«term_++_»","line":282,"kind":"def","docLink":"./Init/Notation.html#«term_++_»","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"«term_*_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L276-L276","name":"«term_*_»","line":276,"kind":"def","docLink":"./Init/Notation.html#«term_*_»","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_*>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L346-L346","name":"«term_*>_»","line":346,"kind":"def","docLink":"./Init/Notation.html#«term_*>_»","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"«term_&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L332-L332","name":"«term_&&_»","line":332,"kind":"def","docLink":"./Init/Notation.html#«term_&&_»","doc":"`and x y`, or `x && y`, is the boolean \"and\" operation (not to be confused\nwith `And : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is false then `y` is not evaluated.\n"},"«term_&&&_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L273-L273","name":"«term_&&&_»","line":273,"kind":"def","docLink":"./Init/Notation.html#«term_&&&_»","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"«term_%_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L278-L278","name":"«term_%_»","line":278,"kind":"def","docLink":"./Init/Notation.html#«term_%_»","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"«term_$__»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L438-L444","name":"«term_$__»","line":438,"kind":"def","docLink":"./Init/Notation.html#«term_$__»","doc":"Alternative syntax for `<|`. `f $ x` means the same as the same as `f x`,\nexcept that it parses `x` with lower precedence, which means that `f $ g $ x`\nis interpreted as `f (g x)` rather than `(f g) x`.\n"},"«term_!=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L485-L485","name":"«term_!=_»","line":485,"kind":"def","docLink":"./Init/Core.html#«term_!=_»","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming applications.\n"},"«term[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L463-L474","name":"«term[_]»","line":463,"kind":"def","docLink":"./Init/Notation.html#«term[_]»","doc":"The syntax `[a, b, c]` is shorthand for `a :: b :: c :: []`, or\n`List.cons a (List.cons b (List.cons c List.nil))`. It allows conveniently constructing\nlist literals.\n\nFor lists of length at least 64, an alternative desugaring strategy is used\nwhich uses let bindings as intermediates as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\nNote that this changes the order of evaluation, although it should not be observable\nunless you use side effecting operations like `dbg_trace`.\n"},"«termExists_,_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L84-L84","name":"«termExists_,_»","line":84,"kind":"def","docLink":"./Init/NotationExtra.html#«termExists_,_»","doc":""},"«term-_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L283-L283","name":"«term-_»","line":283,"kind":"def","docLink":"./Init/Notation.html#«term-_»","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"«term%[_|_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L476-L482","name":"«term%[_|_]»","line":476,"kind":"def","docLink":"./Init/Notation.html#«term%[_|_]»","doc":"Auxiliary syntax for implementing `[$elem,*]` list literal syntax.\nThe syntax `%[a,b,c|tail]` constructs a value equivalent to `a::b::c::tail`.\nIt uses binary partitioning to construct a tree of intermediate let bindings as in\n`let left := [d, e, f]; a :: b :: c :: left` to avoid creating very deep expressions.\n"},"«term#[_,]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L507-L507","name":"«term#[_,]»","line":507,"kind":"def","docLink":"./Init/Data/Array/Basic.html#«term#[_,]»","doc":""},"«stx_<|>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L190-L205","name":"«stx_<|>_»","line":190,"kind":"def","docLink":"./Init/Notation.html#«stx_<|>_»","doc":"`p1 <|> p2` is shorthand for `orelse(p1, p2)`, and parses either `p1` or `p2`.\nIt does not backtrack, meaning that if `p1` consumes at least one token then\n`p2` will not be tried. Therefore, the parsers should all differ in their first\ntoken. The `atomic(p)` parser combinator can be used to locally backtrack a parser.\n(For full backtracking, consider using extensible syntax classes instead.)\n\nOn success, if the inner parser does not generate exactly one node, it will be\nautomatically wrapped in a `group` node, so the result will always be arity 1.\n\nThe `<|>` combinator does not generate a node of its own, and in particular\ndoes not tag the inner parsers to distinguish them, which can present a problem\nwhen reconstructing the parse. A well formed `<|>` parser should use disjoint\nnode kinds for `p1` and `p2`.\n"},"«stx_,+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L228-L228","name":"«stx_,+»","line":228,"kind":"def","docLink":"./Init/Notation.html#«stx_,+»","doc":"`p,+` is shorthand for `sepBy(p, \",\")`. It parses 1 or more occurrences of\n`p` separated by `,`, that is: `p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,+,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L248-L248","name":"«stx_,+,?»","line":248,"kind":"def","docLink":"./Init/Notation.html#«stx_,+,?»","doc":"`p,+,?` is shorthand for `sepBy1(p, \",\", allowTrailingSep)`.\nIt parses 1 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L220-L220","name":"«stx_,*»","line":220,"kind":"def","docLink":"./Init/Notation.html#«stx_,*»","doc":"`p,*` is shorthand for `sepBy(p, \",\")`. It parses 0 or more occurrences of\n`p` separated by `,`, that is: `empty | p | p,p | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_,*,?»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L238-L238","name":"«stx_,*,?»","line":238,"kind":"def","docLink":"./Init/Notation.html#«stx_,*,?»","doc":"`p,*,?` is shorthand for `sepBy(p, \",\", allowTrailingSep)`.\nIt parses 0 or more occurrences of `p` separated by `,`, possibly including\na trailing `,`, that is: `empty | p | p, | p,p | p,p, | p,p,p | ...`.\n\nIt produces a `nullNode` containing a `SepArray` with the interleaved parser\nresults. It has arity 1, and auto-groups its component parser if needed.\n"},"«stx_+»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L161-L167","name":"«stx_+»","line":161,"kind":"def","docLink":"./Init/Notation.html#«stx_+»","doc":"`p+` is shorthand for `many1(p)`. It uses parser `p` 1 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«stx_*»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L169-L175","name":"«stx_*»","line":169,"kind":"def","docLink":"./Init/Notation.html#«stx_*»","doc":"`p*` is shorthand for `many(p)`. It uses parser `p` 0 or more times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\nIf `p` has arity more than 1, it is auto-grouped in the items generated by the parser.\n"},"«prio(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L141-L141","name":"«prio(_)»","line":141,"kind":"def","docLink":"./Init/Notation.html#«prio(_)»","doc":"Parentheses are used for grouping priority expressions. "},"«prec(_)»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L119-L119","name":"«prec(_)»","line":119,"kind":"def","docLink":"./Init/Notation.html#«prec(_)»","doc":"Parentheses are used for grouping precedence expressions. "},"«dsl_op2ConstTensor(_)»":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L182-L182","name":"«dsl_op2ConstTensor(_)»","line":182,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstTensor(_)»","doc":""},"«dsl_op2ConstIx(_)»":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L181-L181","name":"«dsl_op2ConstIx(_)»","line":181,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstIx(_)»","doc":""},"«dsl_op2ConstInt(_)»":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L183-L183","name":"«dsl_op2ConstInt(_)»","line":183,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#«dsl_op2ConstInt(_)»","doc":""},"withTheReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3069-L3070","name":"withTheReader","line":3069,"kind":"def","docLink":"./Init/Prelude.html#withTheReader","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L89-L89","name":"withShareCommon","line":89,"kind":"def","docLink":"./Init/ShareCommon.html#withShareCommon","doc":""},"withPtrEqUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L60-L61","name":"withPtrEqUnsafe","line":60,"kind":"def","docLink":"./Init/Util.html#withPtrEqUnsafe","doc":""},"withPtrEqDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L67-L71","name":"withPtrEqDecEq","line":67,"kind":"def","docLink":"./Init/Util.html#withPtrEqDecEq","doc":"`withPtrEq` for `DecidableEq` "},"withPtrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L64-L64","name":"withPtrEq","line":64,"kind":"def","docLink":"./Init/Util.html#withPtrEq","doc":""},"withPtrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L49-L50","name":"withPtrAddrUnsafe","line":49,"kind":"def","docLink":"./Init/Util.html#withPtrAddrUnsafe","doc":""},"withPtrAddr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L74-L74","name":"withPtrAddr","line":74,"kind":"def","docLink":"./Init/Util.html#withPtrAddr","doc":""},"usize_size_gt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L287-L288","name":"usize_size_gt_zero","line":287,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#usize_size_gt_zero","doc":""},"usize_size_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1975-L1979","name":"usize_size_eq","line":1975,"kind":"theorem","docLink":"./Init/Prelude.html#usize_size_eq","doc":""},"unsafeIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L91-L92","name":"unsafeIO","line":91,"kind":"def","docLink":"./Init/System/IO.html#unsafeIO","doc":""},"unsafeEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L88-L89","name":"unsafeEIO","line":88,"kind":"def","docLink":"./Init/System/IO.html#unsafeEIO","doc":""},"unsafeCast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2412-L2413","name":"unsafeCast","line":2412,"kind":"def","docLink":"./Init/Prelude.html#unsafeCast","doc":"This function will cast a value of type `α` to type `β`, and is a no-op in the\ncompiler. 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To resolve this, `ite` is marked as\n`@[macro_inline]`, which means that it is unfolded during code generation, and\nthe definition of the function uses `fun _ => t` and `fun _ => e` so this recovers\nthe expected \"lazy\" behavior of `if`: the `t` and `e` arguments delay evaluation\nuntil `c` is known.\n"},"termIfLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L392-L404","name":"termIfLet","line":392,"kind":"def","docLink":"./Init/Notation.html#termIfLet","doc":"`if let pat := d then t else e` is a shorthand syntax for:\n```\nmatch d with\n| pat => t\n| _ => e\n```\nIt matches `d` against the pattern `pat` and the bindings are available in `t`.\nIf the pattern does not match, it returns `e` instead.\n"},"termDepIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L371-L373","name":"termDepIfThenElse","line":371,"kind":"def","docLink":"./Init/Notation.html#termDepIfThenElse","doc":"\"Dependent\" if-then-else, normally written via the notation `if h : c then t(h) else e(h)`,\nis sugar for `dite c (fun h => t(h)) (fun h => e(h))`, and it is the same as\n`if c then t else e` except that `t` is allowed to depend on a proof `h : c`,\nand `e` can depend on `h : ¬c`. (Both branches use the same name for the hypothesis,\neven though it has different types in the two cases.)\n\nWe use this to be able to communicate the if-then-else condition to the branches.\nFor example, `Array.get arr ⟨i, h⟩` expects a proof `h : i < arr.size` in order to\navoid a bounds check, so you can write `if h : i < arr.size then arr.get ⟨i, h⟩ else ...`\nto avoid the bounds check inside the if branch. (Of course in this case we have only\nlifted the check into an explicit `if`, but we could also use this proof multiple times\nor derive `i < arr.size` from some other proposition that we are checking in the `if`.)\n"},"term!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L334-L334","name":"term!_","line":334,"kind":"def","docLink":"./Init/Notation.html#term!_","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"tacticSimp_wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L12-L13","name":"tacticSimp_wf","line":12,"kind":"def","docLink":"./Init/WFTactics.html#tacticSimp_wf","doc":"Unfold definitions commonly used in well founded relation definitions.\nThis is primarily intended for internal use in `decreasing_tactic`. "},"tacticSimp_mlir":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Tactic.lean#L5-L13","name":"tacticSimp_mlir","line":5,"kind":"def","docLink":"./SSA/Core/Tactic.html#tacticSimp_mlir","doc":""},"tacticSimp_alive":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Tactic.lean#L7-L14","name":"tacticSimp_alive","line":7,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticSimp_alive","doc":""},"tacticPrint_goal_as_error":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L84-L87","name":"tacticPrint_goal_as_error","line":84,"kind":"def","docLink":"./SSA/Core/Util.html#tacticPrint_goal_as_error","doc":""},"tacticGet_elem_tactic_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L804-L812","name":"tacticGet_elem_tactic_trivial","line":804,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic_trivial","doc":"`get_elem_tactic_trivial` is an extensible tactic automatically called\nby the notation `arr[i]` to prove any side conditions that arise when\nconstructing the term (e.g. the index is in bounds of the array).\nThe default behavior is to just try `trivial` (which handles the case\nwhere `i < arr.size` is in the context) and `simp_arith`\n(for doing linear arithmetic in the index).\n"},"tacticGet_elem_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L824-L832","name":"tacticGet_elem_tactic","line":824,"kind":"def","docLink":"./Init/Tactics.html#tacticGet_elem_tactic","doc":"`get_elem_tactic` is the tactic automatically called by the notation `arr[i]`\nto prove any side conditions that arise when constructing the term\n(e.g. the index is in bounds of the array). It just delegates to\n`get_elem_tactic_trivial` and gives a diagnostic error message otherwise;\nusers are encouraged to extend `get_elem_tactic_trivial` instead of this tactic.\n"},"tacticFunext___":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L323-L336","name":"tacticFunext___","line":323,"kind":"def","docLink":"./Init/NotationExtra.html#tacticFunext___","doc":"Apply function extensionality and introduce new hypotheses.\nThe tactic `funext` will keep applying the `funext` lemma until the goal target is not reducible to\n```\n |- ((fun x => ...) = (fun x => ...))\n```\nThe variant `funext h₁ ... hₙ` applies `funext` `n` times, and uses the given identifiers to name the new hypotheses.\nPatterns can be used like in the `intro` tactic. Example, given a goal\n```\n |- ((fun x : Nat × Bool => ...) = (fun x => ...))\n```\n`funext (a, b)` applies `funext` once and performs pattern matching on the newly introduced pair.\n"},"tacticDecreasing_with_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L33-L44","name":"tacticDecreasing_with_","line":33,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_with_","doc":"Constructs a proof of decreasing along a well founded relation, by applying\nlexicographic order lemmas and using `ts` to solve the base case. If it fails,\nit prints a message to help the user diagnose an ill-founded recursive definition. "},"tacticDecreasing_trivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L15-L22","name":"tacticDecreasing_trivial","line":15,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_trivial","doc":"Extensible helper tactic for `decreasing_tactic`. This handles the \"base case\"\nreasoning after applying lexicographic order lemmas.\nIt can be extended by adding more macro definitions, e.g.\n```\nmacro_rules | `(tactic| decreasing_trivial) => `(tactic| linarith)\n```\n"},"tacticDecreasing_tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WFTactics.lean#L52-L53","name":"tacticDecreasing_tactic","line":52,"kind":"def","docLink":"./Init/WFTactics.html#tacticDecreasing_tactic","doc":"`decreasing_tactic` is called by default on well-founded recursions in order\nto synthesize a proof that recursive calls decrease along the selected\nwell founded relation. It can be locally overridden by using `decreasing_by tac`\non the recursive definition, and it can also be globally extended by adding\nmore definitions for `decreasing_tactic` (or `decreasing_trivial`,\nwhich this tactic calls). "},"tacticAlive_auto":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Tactic.lean#L16-L22","name":"tacticAlive_auto","line":16,"kind":"def","docLink":"./SSA/Projects/InstCombine/Tactic.html#tacticAlive_auto","doc":""},"subtypeCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L307-L308","name":"subtypeCoe","line":307,"kind":"instance","docLink":"./Init/Coe.html#subtypeCoe","doc":""},"stx_?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L177-L188","name":"stx_?","line":177,"kind":"def","docLink":"./Init/Notation.html#stx_?","doc":"`(p)?` is shorthand for `optional(p)`. It uses parser `p` 0 or 1 times, and produces a\n`nullNode` containing the array of parsed results. This parser has arity 1.\n\n`p` is allowed to have arity n > 1 (in which case the node will have either 0 or n children),\nbut if it has arity 0 then the result will be ambiguous.\n\nBecause `?` is an identifier character, `ident?` will not work as intended.\nYou have to write either `ident ?` or `(ident)?` for it to parse as the `?` combinator\napplied to the `ident` parser.\n"},"stx!_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L254-L254","name":"stx!_","line":254,"kind":"def","docLink":"./Init/Notation.html#stx!_","doc":"`!p` parses the negation of `p`. That is, it fails if `p` succeeds, and\notherwise parses nothing. It has arity 0.\n"},"strictOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L467-L467","name":"strictOr","line":467,"kind":"def","docLink":"./Init/Core.html#strictOr","doc":"`strictOr` is the same as `or`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `true`.\n"},"strictAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L473-L473","name":"strictAnd","line":473,"kind":"def","docLink":"./Init/Core.html#strictAnd","doc":"`strictAnd` is the same as `and`, but it does not use short-circuit evaluation semantics:\nboth sides are evaluated, even if the first value is `false`.\n"},"stdSplit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L57-L64","name":"stdSplit","line":57,"kind":"def","docLink":"./Init/Data/Random.html#stdSplit","doc":""},"stdRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L38-L38","name":"stdRange","line":38,"kind":"def","docLink":"./Init/Data/Random.html#stdRange","doc":""},"stdNext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L43-L55","name":"stdNext","line":43,"kind":"def","docLink":"./Init/Data/Random.html#stdNext","doc":""},"sorryAx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L641-L641","name":"sorryAx","line":641,"kind":"axiom","docLink":"./Init/Prelude.html#sorryAx","doc":"Auxiliary axiom used to implement `sorry`.\n\nThe `sorry` term/tactic expands to `sorryAx _ (synthetic := false)`. This is a\nproof of anything, which is intended for stubbing out incomplete parts of a\nproof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n\nThe `synthetic` flag is false when written explicitly by the user, but it is\nset to `true` when a tactic fails to prove a goal, or if there is a type error\nin the expression. A synthetic `sorry` acts like a regular one, except that it\nsuppresses follow-up errors in order to prevent one error from causing a cascade\nof other errors because the desired term was not constructed.\n"},"solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L380-L383","name":"solve","line":380,"kind":"def","docLink":"./Init/NotationExtra.html#solve","doc":"Similar to `first`, but succeeds only if one the given tactics solves the current goal.\n"},"sizeOf_thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L57-L58","name":"sizeOf_thunk","line":57,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_thunk","doc":""},"sizeOf_nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L52-L52","name":"sizeOf_nat","line":52,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_nat","doc":""},"sizeOf_default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L47-L47","name":"sizeOf_default","line":47,"kind":"theorem","docLink":"./Init/SizeOf.html#sizeOf_default","doc":""},"sizeOfWFRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L190-L191","name":"sizeOfWFRel","line":190,"kind":"def","docLink":"./Init/WF.html#sizeOfWFRel","doc":""},"shareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L91-L92","name":"shareCommonM","line":91,"kind":"def","docLink":"./Init/ShareCommon.html#shareCommonM","doc":""},"seq_eq_bind_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L65-L66","name":"seq_eq_bind_map","line":65,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind_map","doc":""},"seq_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L77-L78","name":"seq_eq_bind","line":77,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seq_eq_bind","doc":""},"seqRight_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L80-L82","name":"seqRight_eq_bind","line":80,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqRight_eq_bind","doc":""},"seqLeft_eq_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L84-L85","name":"seqLeft_eq_bind","line":84,"kind":"theorem","docLink":"./Init/Control/Lawful.html#seqLeft_eq_bind","doc":""},"semiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L618-L618","name":"semiOutParam","line":618,"kind":"def","docLink":"./Init/Prelude.html#semiOutParam","doc":"Gadget for marking semi output parameters in type classes.\n\nSemi-output parameters influence the order in which arguments to type class\ninstances are processed. Lean determines an order where all non-(semi-)output\nparameters to the instance argument have to be figured out before attempting to\nsynthesize an argument (that is, they do not contain assignable metavariables\ncreated during TC synthesis). This rules out instances such as `[Mul β] : Add\nα` (because `β` could be anything). Marking a parameter as semi-output is a\npromise that instances of the type class will always fill in a value for that\nparameter.\n\nFor example, the `Coe` class is defined as:\n```\nclass Coe (α : semiOutParam (Sort u)) (β : Sort v)\n```\nThis means that all `Coe` instances should provide a concrete value for `α`\n(i.e., not an assignable metavariable). An instance like `Coe Nat Int` or `Coe\nα (Option α)` is fine, but `Coe α Nat` is not since it does not provide a value\nfor `α`.\n"},"runST":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L32-L35","name":"runST","line":32,"kind":"def","docLink":"./Init/System/ST.html#runST","doc":""},"runEST":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L26-L29","name":"runEST","line":26,"kind":"def","docLink":"./Init/System/ST.html#runEST","doc":""},"rgnDom":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L131-L134","name":"rgnDom","line":131,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnDom","doc":""},"rgnCod":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L137-L140","name":"rgnCod","line":137,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#rgnCod","doc":""},"rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L281-L281","name":"rfl","line":281,"kind":"def","docLink":"./Init/Prelude.html#rfl","doc":"`rfl : a = a` is the unique constructor of the equality type. This is the\nsame as `Eq.refl` except that it takes `a` implicitly instead of explicitly.\n\nThis is a more powerful theorem than it may appear at first, because although\nthe statement of the theorem is `a = a`, lean will allow anything that is\ndefinitionally equal to that type. So, for instance, `2 + 2 = 4` is proven in\nlean by `rfl`, because both sides are the same up to definitional equality.\n"},"reprStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L24-L25","name":"reprStr","line":24,"kind":"def","docLink":"./Init/Data/Repr.html#reprStr","doc":""},"reprArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L27-L28","name":"reprArg","line":27,"kind":"def","docLink":"./Init/Data/Repr.html#reprArg","doc":""},"repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L21-L22","name":"repr","line":21,"kind":"def","docLink":"./Init/Data/Repr.html#repr","doc":""},"recSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L893-L902","name":"recSubsingleton","line":893,"kind":"theorem","docLink":"./Init/Core.html#recSubsingleton","doc":""},"readThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3033-L3034","name":"readThe","line":3033,"kind":"def","docLink":"./Init/Prelude.html#readThe","doc":"Like `read`, but with `ρ` explicit. This is useful if a monad supports\n`MonadReaderOf` for multiple different types `ρ`.\n"},"rawNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L256-L266","name":"rawNatLit","line":256,"kind":"def","docLink":"./Init/Notation.html#rawNatLit","doc":"The `nat_lit n` macro constructs \"raw numeric literals\". This corresponds to the\n`Expr.lit (.natVal n)` constructor in the `Expr` data type.\n\nNormally, when you write a numeral like `#check 37`, the parser turns this into\nan application of `OfNat.ofNat` to the raw literal `37` to cast it into the\ntarget type, even if this type is `Nat` (so the cast is the identity function).\nBut sometimes it is necessary to talk about the raw numeral directly,\nespecially when proving properties about the `ofNat` function itself.\n"},"randNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L93-L108","name":"randNat","line":93,"kind":"def","docLink":"./Init/Data/Random.html#randNat","doc":"Generate a random natural number in the interval [lo, hi]. "},"randBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L111-L113","name":"randBool","line":111,"kind":"def","docLink":"./Init/Data/Random.html#randBool","doc":"Generate a random Boolean. "},"pure_id_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L43-L44","name":"pure_id_seq","line":43,"kind":"theorem","docLink":"./Init/Control/Lawful.html#pure_id_seq","doc":""},"ptrEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L54-L57","name":"ptrEqList","line":54,"kind":"def","docLink":"./Init/Util.html#ptrEqList","doc":""},"ptrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L52-L52","name":"ptrEq","line":52,"kind":"def","docLink":"./Init/Util.html#ptrEq","doc":""},"ptrAddrUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L46-L46","name":"ptrAddrUnsafe","line":46,"kind":"opaque","docLink":"./Init/Util.html#ptrAddrUnsafe","doc":""},"propext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1142-L1142","name":"propext","line":1142,"kind":"axiom","docLink":"./Init/Core.html#propext","doc":"The axiom of **propositional extensionality**. It asserts that if propositions\n`a` and `b` are logically equivalent (i.e. we can prove `a` from `b` and vice versa),\nthen `a` and `b` are *equal*, meaning that we can replace `a` with `b` in all\ncontexts.\n\nFor simple expressions like `a ∧ c ∨ d → e` we can prove that because all the logical\nconnectives respect logical equivalence, we can replace `a` with `b` in this expression\nwithout using `propext`. However, for higher order expressions like `P a` where\n`P : Prop → Prop` is unknown, or indeed for `a = b` itself, we cannot replace `a` with `b`\nwithout an axiom which says exactly this.\n\nThis is a relatively uncontroversial axiom, which is intuitionistically valid.\nIt does however block computation when using `#reduce` to reduce proofs directly\n(which is not recommended), meaning that canonicity,\nthe property that all closed terms of type `Nat` normalize to numerals,\nfails to hold when this (or any) axiom is used:\n```\nset_option pp.proofs true\n\ndef foo : Nat := by\n have : (True → True) ↔ True := ⟨λ _ => trivial, λ _ _ => trivial⟩\n have := propext this ▸ (2 : Nat)\n exact this\n\n#reduce foo\n-- propext { mp := fun x x => True.intro, mpr := fun x => True.intro } ▸ 2\n\n#eval foo -- 2\n```\n`#eval` can evaluate it to a numeral because the compiler erases casts and\ndoes not evaluate proofs, so `propext`, whose return type is a proposition,\ncan never block it.\n"},"proofIrrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L525-L525","name":"proofIrrel","line":525,"kind":"theorem","docLink":"./Init/Core.html#proofIrrel","doc":""},"prioMid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L137-L137","name":"prioMid","line":137,"kind":"def","docLink":"./Init/Notation.html#prioMid","doc":"The standardized \"medium\" priority `mid = 500`. This is lower than `default`, and higher than `low`.\n"},"prioLow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L133-L133","name":"prioLow","line":133,"kind":"def","docLink":"./Init/Notation.html#prioLow","doc":"The standardized \"low\" priority `low = 100`, for things that should be lower than default priority. "},"prioHigh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L139-L139","name":"prioHigh","line":139,"kind":"def","docLink":"./Init/Notation.html#prioHigh","doc":"The standardized \"high\" priority `high = 10000`, for things that should be higher than default priority. "},"prioDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L131-L131","name":"prioDefault","line":131,"kind":"def","docLink":"./Init/Notation.html#prioDefault","doc":"The default priority `default = 1000`, which is used when no priority is set. "},"precMin1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L123-L123","name":"precMin1","line":123,"kind":"def","docLink":"./Init/Notation.html#precMin1","doc":"`(min+1)` (we can only write `min+1` after `Meta.lean`) "},"precMin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L121-L121","name":"precMin","line":121,"kind":"def","docLink":"./Init/Notation.html#precMin","doc":"Minimum precedence used in term parsers. "},"precMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L113-L113","name":"precMax","line":113,"kind":"def","docLink":"./Init/Notation.html#precMax","doc":"Maximum precedence used in term parsers, in particular for terms in\nfunction position (`ident`, `paren`, ...)\n"},"precLead":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L117-L117","name":"precLead","line":117,"kind":"def","docLink":"./Init/Notation.html#precLead","doc":"Precedence used for terms not supposed to be used as arguments (`let`, `have`, ...). "},"precArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L115-L115","name":"precArg","line":115,"kind":"def","docLink":"./Init/Notation.html#precArg","doc":"Precedence used for application arguments (`do`, `by`, ...). "},"panicWithPosWithDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L42-L43","name":"panicWithPosWithDecl","line":42,"kind":"def","docLink":"./Init/Util.html#panicWithPosWithDecl","doc":""},"panicWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L36-L37","name":"panicWithPos","line":36,"kind":"def","docLink":"./Init/Util.html#panicWithPos","doc":""},"panicCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2428-L2428","name":"panicCore","line":2428,"kind":"def","docLink":"./Init/Prelude.html#panicCore","doc":"Auxiliary definition for `panic`. "},"panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2442-L2443","name":"panic","line":2442,"kind":"def","docLink":"./Init/Prelude.html#panic","doc":"`(panic \"msg\" : α)` has a built-in implementation which prints `msg` to\nthe error buffer. It *does not* terminate execution, and because it is a safe\nfunction, it still has to return an element of `α`, so it takes `[Inhabited α]`\nand returns `default`. It is primarily intended for debugging in pure contexts,\nand assertion failures.\n\nBecause this is a pure function with side effects, it is marked as\n`@[never_extract]` so that the compiler will not perform common sub-expression\nelimination and other optimizations that assume that the expression is pure.\n"},"pairMapM":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L14-L17","name":"pairMapM","line":14,"kind":"def","docLink":"./SSA/Core/Util.html#pairMapM","doc":""},"pairBind":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L8-L11","name":"pairBind","line":8,"kind":"def","docLink":"./SSA/Core/Util.html#pairBind","doc":""},"outUserType":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L121-L128","name":"outUserType","line":121,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#outUserType","doc":""},"outParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L595-L595","name":"outParam","line":595,"kind":"def","docLink":"./Init/Prelude.html#outParam","doc":"Gadget for marking output parameters in type classes.\n\nFor example, the `Membership` class is defined as:\n```\nclass Membership (α : outParam (Type u)) (γ : Type v)\n```\nThis means that whenever a typeclass goal of the form `Membership ?α ?γ` comes\nup, lean will wait to solve it until `?γ` is known, but then it will run\ntypeclass inference, and take the first solution it finds, for any value of `?α`,\nwhich thereby determines what `?α` should be.\n\nThis expresses that in a term like `a ∈ s`, `s` might be a `Set α` or\n`List α` or some other type with a membership operation, and in each case\nthe \"member\" type `α` is determined by looking at the container type.\n"},"or_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L88-L88","name":"or_true","line":88,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_true","doc":""},"or_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L87-L87","name":"or_self","line":87,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_self","doc":""},"or_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L90-L90","name":"or_false","line":90,"kind":"theorem","docLink":"./Init/SimpLemmas.html#or_false","doc":""},"orM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L52-L56","name":"orM","line":52,"kind":"def","docLink":"./Init/Control/Basic.html#orM","doc":""},"or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L982-L985","name":"or","line":982,"kind":"def","docLink":"./Init/Prelude.html#or","doc":"`or x y`, or `x || y`, is the boolean \"or\" operation (not to be confused\nwith `Or : Prop → Prop → Prop`, which is the propositional connective).\nIt is `@[macro_inline]` because it has C-like short-circuiting behavior:\nif `x` is true then `y` is not evaluated.\n"},"optional":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L36-L37","name":"optional","line":36,"kind":"def","docLink":"./Init/Control/Basic.html#optional","doc":""},"optionCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L304-L305","name":"optionCoe","line":304,"kind":"instance","docLink":"./Init/Coe.html#optionCoe","doc":""},"optParam_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L459-L459","name":"optParam_eq","line":459,"kind":"theorem","docLink":"./Init/Core.html#optParam_eq","doc":""},"optParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L577-L577","name":"optParam","line":577,"kind":"def","docLink":"./Init/Prelude.html#optParam","doc":"Gadget for optional parameter support.\n\nA binder like `(x : α := default)` in a declaration is syntax sugar for\n`x : optParam α default`, and triggers the elaborator to attempt to use\n`default` to supply the argument if it is not supplied.\n"},"of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L12-L12","name":"of_eq_true","line":12,"kind":"theorem","docLink":"./Init/SimpLemmas.html#of_eq_true","doc":""},"of_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L855-L858","name":"of_decide_eq_true","line":855,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_true","doc":""},"of_decide_eq_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L865-L868","name":"of_decide_eq_self_eq_true","line":865,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_self_eq_true","doc":""},"of_decide_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L860-L863","name":"of_decide_eq_false","line":860,"kind":"theorem","docLink":"./Init/Prelude.html#of_decide_eq_false","doc":""},"ofBoolUsing_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L709-L710","name":"ofBoolUsing_eq_true","line":709,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_true","doc":""},"ofBoolUsing_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L712-L713","name":"ofBoolUsing_eq_false","line":712,"kind":"theorem","docLink":"./Init/Core.html#ofBoolUsing_eq_false","doc":""},"observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L162-L163","name":"observing","line":162,"kind":"def","docLink":"./Init/Control/Except.html#observing","doc":""},"not_not_intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L521-L522","name":"not_not_intro","line":521,"kind":"theorem","docLink":"./Init/Core.html#not_not_intro","doc":""},"not_false_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L100-L100","name":"not_false_eq_true","line":100,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_false_eq_true","doc":""},"not_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L519-L519","name":"not_false","line":519,"kind":"theorem","docLink":"./Init/Core.html#not_false","doc":""},"not_decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L141-L141","name":"not_decide_eq_true","line":141,"kind":"theorem","docLink":"./Init/SimpLemmas.html#not_decide_eq_true","doc":""},"notM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L68-L69","name":"notM","line":68,"kind":"def","docLink":"./Init/Control/Basic.html#notM","doc":""},"not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1002-L1004","name":"not","line":1002,"kind":"def","docLink":"./Init/Prelude.html#not","doc":"`not x`, or `!x`, is the boolean \"not\" operation (not to be confused\nwith `Not : Prop → Prop`, which is the propositional connective).\n"},"nonempty_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L854-L855","name":"nonempty_of_exists","line":854,"kind":"theorem","docLink":"./Init/Core.html#nonempty_of_exists","doc":""},"noConfusionTypeEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L834-L837","name":"noConfusionTypeEnum","line":834,"kind":"def","docLink":"./Init/Core.html#noConfusionTypeEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"noConfusionEnum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L840-L845","name":"noConfusionEnum","line":840,"kind":"def","docLink":"./Init/Core.html#noConfusionEnum","doc":"Auxiliary definition for generating compact `noConfusion` for enumeration types "},"ne_true_of_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L583-L586","name":"ne_true_of_not","line":583,"kind":"theorem","docLink":"./Init/Core.html#ne_true_of_not","doc":""},"ne_true_of_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L655-L657","name":"ne_true_of_eq_false","line":655,"kind":"theorem","docLink":"./Init/Prelude.html#ne_true_of_eq_false","doc":""},"ne_of_beq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L601-L602","name":"ne_of_beq_false","line":601,"kind":"theorem","docLink":"./Init/Core.html#ne_of_beq_false","doc":""},"ne_false_of_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L580-L581","name":"ne_false_of_self","line":580,"kind":"theorem","docLink":"./Init/Core.html#ne_false_of_self","doc":""},"ne_false_of_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L651-L653","name":"ne_false_of_eq_true","line":651,"kind":"theorem","docLink":"./Init/Prelude.html#ne_false_of_eq_true","doc":""},"ne_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L76-L76","name":"ne_eq","line":76,"kind":"theorem","docLink":"./Init/SimpLemmas.html#ne_eq","doc":""},"namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L622-L622","name":"namedPattern","line":622,"kind":"def","docLink":"./Init/Prelude.html#namedPattern","doc":"Auxiliary declaration used to implement named patterns like `x@h:p`. "},"mt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L516-L517","name":"mt","line":516,"kind":"theorem","docLink":"./Init/Core.html#mt","doc":""},"monadLift_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L13-L14","name":"monadLift_self","line":13,"kind":"theorem","docLink":"./Init/Control/Lawful.html#monadLift_self","doc":""},"monadFunctorRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2837-L2838","name":"monadFunctorRefl","line":2837,"kind":"instance","docLink":"./Init/Prelude.html#monadFunctorRefl","doc":""},"modifyThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3122-L3123","name":"modifyThe","line":3122,"kind":"def","docLink":"./Init/Prelude.html#modifyThe","doc":"Like `modify`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modifyGetThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3130-L3131","name":"modifyGetThe","line":3130,"kind":"def","docLink":"./Init/Prelude.html#modifyGetThe","doc":"Like `modifyGet`, but with `σ` explicit. This is useful if a monad supports\n`MonadStateOf` for multiple different types `σ`.\n"},"modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3161-L3162","name":"modify","line":3161,"kind":"def","docLink":"./Init/Prelude.html#modify","doc":"`modify (f : σ → σ)` applies the function `f` to the state.\n\nIt is equivalent to `do put (f (← get))`, but `modify f` may be preferable\nbecause the former does not use the state linearly (without sufficient inlining).\n"},"mkStdGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L73-L77","name":"mkStdGen","line":73,"kind":"def","docLink":"./Init/Data/Random.html#mkStdGen","doc":"Return a standard number generator. 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omUInt16","line":261,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomUInt16","doc":""},"instReprAtomString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L259-L259","name":"instReprAtomString","line":259,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomString","doc":""},"instReprAtomNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L256-L256","name":"instReprAtomNat","line":256,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomNat","doc":""},"instReprAtomInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L257-L257","name":"instReprAtomInt","line":257,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomInt","doc":""},"instReprAtomFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L105-L105","name":"instReprAtomFloat","line":105,"kind":"instance","docLink":"./Init/Data/Float.html#instReprAtomFloat","doc":""},"instReprAtomChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L258-L258","name":"instReprAtomChar","line":258,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomChar","doc":""},"instReprAtomBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L255-L255","name":"instReprAtomBool","line":255,"kind":"instance","docLink":"./Init/Data/Repr.html#instReprAtomBool","doc":""},"instRandomGenStdGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L66-L70","name":"instRandomGenStdGen","line":66,"kind":"instance","docLink":"./Init/Data/Random.html#instRandomGenStdGen","doc":""},"instPowNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1483-L1484","name":"instPowNat","line":1483,"kind":"instance","docLink":"./Init/Prelude.html#instPowNat","doc":""},"instPowFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L135-L135","name":"instPowFloat","line":135,"kind":"instance","docLink":"./Init/Data/Float.html#instPowFloat","doc":""},"instOrdUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L56-L57","name":"instOrdUSize","line":56,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUSize","doc":""},"instOrdUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L44-L45","name":"instOrdUInt8","line":44,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt8","doc":""},"instOrdUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L53-L54","name":"instOrdUInt64","line":53,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt64","doc":""},"instOrdUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L50-L51","name":"instOrdUInt32","line":50,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt32","doc":""},"instOrdUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L47-L48","name":"instOrdUInt16","line":47,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdUInt16","doc":""},"instOrdString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L38-L39","name":"instOrdString","line":38,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdString","doc":""},"instOrdNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L26-L27","name":"instOrdNat","line":26,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdNat","doc":""},"instOrdInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L29-L30","name":"instOrdInt","line":29,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdInt","doc":""},"instOrdFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L41-L42","name":"instOrdFin","line":41,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdFin","doc":""},"instOrdChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L59-L60","name":"instOrdChar","line":59,"kind":"instance","docLink":"./Init/Data/Ord.html#instOrdChar","doc":""},"instOrdBool":{"so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This can make a\ndifference for typeclass inference, since `T` and `T'` may have different\ntypeclass instances on them. `show T' from e` is sugar for an `@id T' e`\nexpression.\n"},"hexDigitRepr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L177-L178","name":"hexDigitRepr","line":177,"kind":"def","docLink":"./Init/Data/Repr.html#hexDigitRepr","doc":""},"heq_of_heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L633-L634","name":"heq_of_heq_of_eq","line":633,"kind":"theorem","docLink":"./Init/Core.html#heq_of_heq_of_eq","doc":""},"heq_of_eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L636-L637","name":"heq_of_eq_of_heq","line":636,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq_of_heq","doc":""},"heq_of_eqRec_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L647-L650","name":"heq_of_eqRec_eq","line":647,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eqRec_eq","doc":""},"heq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L627-L628","name":"heq_of_eq","line":627,"kind":"theorem","docLink":"./Init/Core.html#heq_of_eq","doc":""},"heq_eq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L143-L143","name":"heq_eq_eq","line":143,"kind":"theorem","docLink":"./Init/SimpLemmas.html#heq_eq_eq","doc":""},"hash64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Hashable.lean#L63-L64","name":"hash64","line":63,"kind":"def","docLink":"./Init/Data/Hashable.html#hash64","doc":"An opaque (low-level) hash operation used to implement hashing for pointers. "},"guard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L33-L34","name":"guard","line":33,"kind":"def","docLink":"./Init/Control/Basic.html#guard","doc":""},"getThe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3114-L3115","name":"getThe","line":3114,"kind":"def","docLink":"./Init/Prelude.html#getThe","doc":"Like `withReader`, but with `ρ` explicit. This is useful if a monad supports\n`MonadWithReaderOf` for multiple different types `ρ`.\n"},"getModify":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3169-L3170","name":"getModify","line":3169,"kind":"def","docLink":"./Init/Prelude.html#getModify","doc":"`getModify f` gets the state, applies function `f`, and returns the old value\nof the state. It is equivalent to `get <* modify f` but may be more efficient.\n"},"getElem?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L83-L84","name":"getElem?","line":83,"kind":"def","docLink":"./Init/Util.html#getElem?","doc":""},"getElem!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L80-L81","name":"getElem!","line":80,"kind":"def","docLink":"./Init/Util.html#getElem!","doc":""},"funext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1555-L1563","name":"funext","line":1555,"kind":"theorem","docLink":"./Init/Core.html#funext","doc":"**Function extensionality** is the statement that if two functions take equal values\nevery point, then the functions themselves are equal: `(∀ x, f x = g x) → f = g`.\nIt is called \"extensionality\" because it talks about how to prove two objects are equal\nbased on the properties of the object (compare with set extensionality,\nwhich is `(∀ x, x ∈ s ↔ x ∈ t) → s = t`).\n\nThis is often an axiom in dependent type theory systems, because it cannot be proved\nfrom the core logic alone. However in lean's type theory this follows from the existence\nof quotient types (note the `Quot.sound` in the proof, as well as the `show` line\nwhich makes use of the definitional equality `Quot.lift f h (Quot.mk x) = f x`).\n"},"forall_congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L41-L42","name":"forall_congr","line":41,"kind":"theorem","docLink":"./Init/SimpLemmas.html#forall_congr","doc":""},"floatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L20-L27","name":"floatSpec","line":20,"kind":"opaque","docLink":"./Init/Data/Float.html#floatSpec","doc":""},"floatDecLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L69-L69","name":"floatDecLt","line":69,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLt","doc":""},"floatDecLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L70-L70","name":"floatDecLe","line":70,"kind":"instance","docLink":"./Init/Data/Float.html#floatDecLe","doc":""},"flip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L28-L29","name":"flip","line":28,"kind":"def","docLink":"./Init/Core.html#flip","doc":"`flip f a b` is `f b a`. It is useful for \"point-free\" programming,\nsince it can sometimes be used to avoid introducing variables.\nFor example, `(·<·)` is the less-than relation,\nand `flip (·<·)` is the greater-than relation.\n"},"false_or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L91-L91","name":"false_or","line":91,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_or","doc":""},"false_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L578-L578","name":"false_of_ne","line":578,"kind":"theorem","docLink":"./Init/Core.html#false_of_ne","doc":""},"false_implies":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L97-L97","name":"false_implies","line":97,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_implies","doc":""},"false_iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L96-L96","name":"false_iff","line":96,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_iff","doc":""},"false_and":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L86-L86","name":"false_and","line":86,"kind":"theorem","docLink":"./Init/SimpLemmas.html#false_and","doc":""},"example_macro_3_1":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L77-L84","name":"example_macro_3_1","line":77,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_1","doc":""},"example_macro_3_0":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L68-L73","name":"example_macro_3_0","line":68,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3_0","doc":""},"example_macro_3":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L87-L96","name":"example_macro_3","line":87,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_3","doc":""},"example_macro_2":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L59-L65","name":"example_macro_2","line":59,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_2","doc":""},"example_macro_1":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L50-L55","name":"example_macro_1","line":50,"kind":"def","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#example_macro_1","doc":""},"ex_of_PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1049-L1050","name":"ex_of_PSigma","line":1049,"kind":"theorem","docLink":"./Init/Core.html#ex_of_PSigma","doc":""},"eval":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L142-L169","name":"eval","line":142,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#eval","doc":""},"eq_true_of_ne_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L647-L649","name":"eq_true_of_ne_false","line":647,"kind":"theorem","docLink":"./Init/Prelude.html#eq_true_of_ne_false","doc":""},"eq_true_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L22-L23","name":"eq_true_of_decide","line":22,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true_of_decide","doc":""},"eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L14-L15","name":"eq_true","line":14,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_true","doc":""},"eq_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L28-L28","name":"eq_self","line":28,"kind":"theorem","docLink":"./Init/SimpLemmas.html#eq_self","doc":""},"eq_of_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L451-L455","name":"eq_of_heq","line":451,"kind":"theorem","docLink":"./Init/Prelude.html#eq_of_heq","doc":""},"eq_false_of_ne_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L643-L645","name":"eq_false_of_ne_true","line":643,"kind":"theorem","docLink":"./Init/Prelude.html#eq_false_of_ne_true","doc":""},"eq_false_of_decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L25-L26","name":"eq_false_of_decide","line":25,"kind":"theorem","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empty relation is the relation on `α` which is always `False`. "},"dsl_op2Map2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L178-L178","name":"dsl_op2Map2d","line":178,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Map2d","doc":""},"dsl_op2Fill2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L179-L179","name":"dsl_op2Fill2d","line":179,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Fill2d","doc":""},"dsl_op2Extract2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L180-L180","name":"dsl_op2Extract2d","line":180,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#dsl_op2Extract2d","doc":""},"dite_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L79-L79","name":"dite_true","line":79,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_true","doc":""},"dite_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L80-L80","name":"dite_false","line":80,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_false","doc":""},"dite_congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L66-L74","name":"dite_congr","line":66,"kind":"theorem","docLink":"./Init/SimpLemmas.html#dite_congr","doc":""},"dite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L913-L914","name":"dite","line":913,"kind":"def","docLink":"./Init/Prelude.html#dite","doc":"\"Dependent\" if-then-else, normally written via the notation `if h : c then t(h) else e(h)`,\nis sugar for `dite c (fun h => t(h)) (fun h => e(h))`, and it is the same as\n`if c then t else e` except that `t` is allowed to depend on a proof `h : c`,\nand `e` can depend on `h : ¬c`. (Both branches use the same name for the hypothesis,\neven though it has different types in the two cases.)\n\nWe use this to be able to communicate the if-then-else condition to the branches.\nFor example, `Array.get arr ⟨i, h⟩` expects a proof `h : i < arr.size` in order to\navoid a bounds check, so you can write `if h : i < arr.size then arr.get ⟨i, h⟩ else ...`\nto avoid the bounds check inside the if branch. (Of course in this case we have only\nlifted the check into an explicit `if`, but we could also use this proof multiple times\nor derive `i < arr.size` from some other proposition that we are checking in the `if`.)\n"},"dif_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L807-L810","name":"dif_pos","line":807,"kind":"theorem","docLink":"./Init/Core.html#dif_pos","doc":""},"dif_neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L812-L815","name":"dif_neg","line":812,"kind":"theorem","docLink":"./Init/Core.html#dif_neg","doc":""},"dif_eq_if":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L818-L821","name":"dif_eq_if","line":818,"kind":"theorem","docLink":"./Init/Core.html#dif_eq_if","doc":""},"default.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L41-L42","name":"default.sizeOf","line":41,"kind":"def","docLink":"./Init/SizeOf.html#default.sizeOf","doc":"Every type `α` has a default `SizeOf` instance that just returns `0`\nfor every element of `α`.\n"},"decide_true_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L692-L695","name":"decide_true_eq_true","line":692,"kind":"theorem","docLink":"./Init/Core.html#decide_true_eq_true","doc":""},"decide_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L140-L140","name":"decide_not","line":140,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_not","doc":""},"decide_false_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L697-L700","name":"decide_false_eq_false","line":697,"kind":"theorem","docLink":"./Init/Core.html#decide_false_eq_false","doc":""},"decide_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L139-L139","name":"decide_eq_true_eq","line":139,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_eq_true_eq","doc":""},"decide_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L847-L849","name":"decide_eq_true","line":847,"kind":"theorem","docLink":"./Init/Prelude.html#decide_eq_true","doc":""},"decide_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L851-L853","name":"decide_eq_false","line":851,"kind":"theorem","docLink":"./Init/Prelude.html#decide_eq_false","doc":""},"decide_True":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L158-L158","name":"decide_True","line":158,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_True","doc":""},"decide_False":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L157-L157","name":"decide_False","line":157,"kind":"theorem","docLink":"./Init/SimpLemmas.html#decide_False","doc":""},"decidable_of_decidable_of_iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L759-L763","name":"decidable_of_decidable_of_iff","line":759,"kind":"def","docLink":"./Init/Core.html#decidable_of_decidable_of_iff","doc":"Transfer a decidability proof across an equivalence of propositions. "},"decidable_of_decidable_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L766-L767","name":"decidable_of_decidable_of_eq","line":766,"kind":"def","docLink":"./Init/Core.html#decidable_of_decidable_of_eq","doc":"Transfer a decidability proof across an equality of propositions. "},"decPropToBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L301-L302","name":"decPropToBool","line":301,"kind":"instance","docLink":"./Init/Coe.html#decPropToBool","doc":""},"decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L843-L844","name":"decEq","line":843,"kind":"def","docLink":"./Init/Prelude.html#decEq","doc":"Proves that `a = b` is decidable given `DecidableEq α`. "},"dbgTraceVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L18-L19","name":"dbgTraceVal","line":18,"kind":"def","docLink":"./Init/Util.html#dbgTraceVal","doc":""},"dbgTraceIfShared":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L24-L24","name":"dbgTraceIfShared","line":24,"kind":"def","docLink":"./Init/Util.html#dbgTraceIfShared","doc":"Display the given message if `a` is shared, that is, RC(a) > 1 "},"dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L16-L16","name":"dbgTrace","line":16,"kind":"def","docLink":"./Init/Util.html#dbgTrace","doc":""},"dbgStackTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L28-L28","name":"dbgStackTrace","line":28,"kind":"def","docLink":"./Init/Util.html#dbgStackTrace","doc":"Print stack trace to stderr before evaluating given closure. Currently supported on Linux only. "},"dbgSleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Util.lean#L31-L31","name":"dbgSleep","line":31,"kind":"def","docLink":"./Init/Util.html#dbgSleep","doc":""},"controlAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L214-L216","name":"controlAt","line":214,"kind":"def","docLink":"./Init/Control/Basic.html#controlAt","doc":""},"control":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L219-L221","name":"control","line":219,"kind":"def","docLink":"./Init/Control/Basic.html#control","doc":""},"const":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L44-L44","name":"const","line":44,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#const","doc":"K combinator / constant function. "},"congrFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L363-L364","name":"congrFun","line":363,"kind":"theorem","docLink":"./Init/Prelude.html#congrFun","doc":"Congruence in the function part of an application: If `f = g` then `f a = g a`. "},"congrArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L349-L350","name":"congrArg","line":349,"kind":"theorem","docLink":"./Init/Prelude.html#congrArg","doc":"Congruence in the function argument: if `a₁ = a₂` then `f a₁ = f a₂` for\nany (nondependent) function `f`. This is more powerful than it might look at first, because\nyou can also use a lambda expression for `f` to prove that\n` = `. This function is used\ninternally by tactics like `congr` and `simp` to apply equalities inside\nsubterms.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L359-L360","name":"congr","line":359,"kind":"theorem","docLink":"./Init/Prelude.html#congr","doc":"Congruence in both function and argument. If `f₁ = f₂` and `a₁ = a₂` then\n`f₁ a₁ = f₂ a₂`. This only works for nondependent functions; the theorem\nstatement is more complex in the dependent case.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"cond_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L145-L145","name":"cond_true","line":145,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_true","doc":""},"cond_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L146-L146","name":"cond_false","line":146,"kind":"theorem","docLink":"./Init/SimpLemmas.html#cond_false","doc":""},"cond":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L971-L974","name":"cond","line":971,"kind":"def","docLink":"./Init/Prelude.html#cond","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"compareOfLessAndEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L21-L24","name":"compareOfLessAndEq","line":21,"kind":"def","docLink":"./Init/Data/Ord.html#compareOfLessAndEq","doc":""},"coeNotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L284-L291","name":"coeNotation","line":284,"kind":"def","docLink":"./Init/Coe.html#coeNotation","doc":"`↑x` represents a coercion, which converts `x` of type `α` to type `β`, using\ntypeclasses to resolve a suitable conversion function. You can often leave the\n`↑` off entirely, since coercion is triggered implicitly whenever there is a\ntype error, but in ambiguous cases it can be useful to use `↑` to disambiguate\nbetween e.g. `↑x + ↑y` and `↑(x + y)`.\n"},"cdotTk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L376-L376","name":"cdotTk","line":376,"kind":"def","docLink":"./Init/NotationExtra.html#cdotTk","doc":""},"cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L377-L378","name":"cdot","line":377,"kind":"def","docLink":"./Init/NotationExtra.html#cdot","doc":"`· tac` focuses on the main goal and tries to solve it using `tac`, or else fails. "},"cast_heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L652-L653","name":"cast_heq","line":652,"kind":"theorem","docLink":"./Init/Core.html#cast_heq","doc":""},"cast_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L553-L554","name":"cast_eq","line":553,"kind":"theorem","docLink":"./Init/Core.html#cast_eq","doc":""},"cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L336-L337","name":"cast","line":336,"kind":"def","docLink":"./Init/Prelude.html#cast","doc":"Cast across a type equality. If `h : α = β` is an equality of types, and\n`a : α`, then `a : β` will usually not typecheck directly, but this function\nwill allow you to work around this and embed `a` in type `β` as `cast h a : β`.\n\nIt is best to avoid this function if you can, because it is more complicated\nto reason about terms containing casts, but if the types don't match up\ndefinitionally sometimes there isn't anything better you can do.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"calcTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L134-L171","name":"calcTactic","line":134,"kind":"def","docLink":"./Init/NotationExtra.html#calcTactic","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the tactic mode variant,\nwhich supports an additional feature: it works even if the goal is `a = z'`\nfor some other `z'`; in this case it will not close the goal but will instead\nleave a subgoal proving `z = z'`.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"calcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L95-L95","name":"calcSteps","line":95,"kind":"def","docLink":"./Init/NotationExtra.html#calcSteps","doc":""},"calcStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L94-L94","name":"calcStep","line":94,"kind":"def","docLink":"./Init/NotationExtra.html#calcStep","doc":""},"calcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L92-L92","name":"calcFirstStep","line":92,"kind":"def","docLink":"./Init/NotationExtra.html#calcFirstStep","doc":""},"calc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/NotationExtra.lean#L97-L132","name":"calc","line":97,"kind":"def","docLink":"./Init/NotationExtra.html#calc","doc":"Step-wise reasoning over transitive relations.\n```\ncalc\n a = b := pab\n b = c := pbc\n ...\n y = z := pyz\n```\nproves `a = z` from the given step-wise proofs. `=` can be replaced with any\nrelation implementing the typeclass `Trans`. Instead of repeating the right-\nhand sides, subsequent left-hand sides can be replaced with `_`.\n```\ncalc\n a = b := pab\n _ = c := pbc\n ...\n _ = z := pyz\n```\nIt is also possible to write the *first* relation as `\\n _ = :=\n`. This is useful for aligning relation symbols, especially on longer:\nidentifiers:\n```\ncalc abc\n _ = bce := pabce\n _ = cef := pbcef\n ...\n _ = xyz := pwxyz\n```\n\n`calc` has term mode and tactic mode variants. This is the term mode variant.\n\nSee [Theorem Proving in Lean 4][tpil4] for more information.\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#calculational-proofs\n"},"boolToSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L298-L299","name":"boolToSort","line":298,"kind":"instance","docLink":"./Init/Coe.html#boolToSort","doc":""},"boolToProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L295-L296","name":"boolToProp","line":295,"kind":"instance","docLink":"./Init/Coe.html#boolToProp","doc":""},"boolIfThenElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L410-L412","name":"boolIfThenElse","line":410,"kind":"def","docLink":"./Init/Notation.html#boolIfThenElse","doc":"`cond b x y` is the same as `if b then x else y`, but optimized for a\nboolean condition. It can also be written as `bif b then x else y`.\nThis is `@[macro_inline]` because `x` and `y` should not\nbe eagerly evaluated (see `ite`).\n"},"bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L47-L50","name":"bool","line":47,"kind":"def","docLink":"./Init/Control/Basic.html#bool","doc":""},"bne_self_eq_false'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L152-L152","name":"bne_self_eq_false'","line":152,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false'","doc":""},"bne_self_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L151-L151","name":"bne_self_eq_false","line":151,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_self_eq_false","doc":""},"bne_iff_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L160-L161","name":"bne_iff_ne","line":160,"kind":"theorem","docLink":"./Init/SimpLemmas.html#bne_iff_ne","doc":""},"bne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L482-L483","name":"bne","line":482,"kind":"def","docLink":"./Init/Core.html#bne","doc":"`x != y` is boolean not-equal. It is the negation of `x == y` which is supplied by\nthe `BEq` typeclass.\n\nUnlike `x ≠ y` (which is notation for `Ne x y`), this is `Bool` valued instead of\n`Prop` valued. It is mainly intended for programming 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: Unit` is the canonical element of the unit type.\nIt can also be written as `()`.\n"},"Unit.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L85-L85","name":"Unit.sizeOf","line":85,"kind":"theorem","docLink":"./Init/SizeOf.html#Unit.sizeOf","doc":""},"Unit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L129-L129","name":"Unit","line":129,"kind":"def","docLink":"./Init/Prelude.html#Unit","doc":"The unit type, the canonical type with one element, named `unit` or `()`.\nIn other words, it describes only a single value, which consists of said constructor applied\nto no arguments whatsoever.\nThe `Unit` type is similar to `void` in languages derived from C.\n\n`Unit` is actually defined as `PUnit.{0}` where `PUnit` is the universe\npolymorphic version. The `Unit` should be preferred over `PUnit` where possible to avoid\nunnecessary universe parameters.\n\nIn functional programming, `Unit` is the return type of things that \"return\nnothing\", since a type with one element conveys no additional information.\nWhen programming with monads, the type `m Unit` represents an action that has\nsome side effects but does not return a value, while `m α` would be an action\nthat has side effects and returns a value of type `α`.\n"},"USize.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L312-L312","name":"USize.xor","line":312,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.xor","doc":""},"USize.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1991-L1991","name":"USize.val","line":1991,"kind":"def","docLink":"./Init/Prelude.html#USize.val","doc":"Unpack a `USize` as a `Nat` less than `USize.size`.\nThis function is overridden with a native implementation. "},"USize.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3363-L3372","name":"USize.toUInt64","line":3363,"kind":"def","docLink":"./Init/Prelude.html#USize.toUInt64","doc":"Upcast a `USize` to a `UInt64`.\nThis is lossless because `USize.size` is either `2^32` or `2^64`.\nThis function is overridden with a native implementation.\n"},"USize.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L320-L320","name":"USize.toUInt32","line":320,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.toUInt32","doc":""},"USize.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L294-L294","name":"USize.toNat","line":294,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.toNat","doc":""},"USize.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L298-L298","name":"USize.sub","line":298,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.sub","doc":""},"USize.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L26-L27","name":"USize.sizeOf","line":26,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#USize.sizeOf","doc":""},"USize.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1973-L1973","name":"USize.size","line":1973,"kind":"def","docLink":"./Init/Prelude.html#USize.size","doc":"The size of type `UInt16`, that is, `2^System.Platform.numBits`, which may\nbe either `2^32` or `2^64` depending on the platform's architecture.\n"},"USize.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L316-L316","name":"USize.shiftRight","line":316,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftRight","doc":""},"USize.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L314-L314","name":"USize.shiftLeft","line":314,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.shiftLeft","doc":""},"USize.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2001-L2003","name":"USize.ofNatCore","line":2001,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNatCore","doc":"Pack a `Nat` less than `USize.size` into a `USize`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2029-L2035","name":"USize.ofNat32","line":2029,"kind":"def","docLink":"./Init/Prelude.html#USize.ofNat32","doc":"Upcast a `Nat` less than `2^32` to a `USize`.\nThis is lossless because `USize.size` is either `2^32` or `2^64`.\nThis function is overridden with a native implementation.\n"},"USize.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L291-L291","name":"USize.ofNat","line":291,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.ofNat","doc":""},"USize.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L300-L300","name":"USize.mul","line":300,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mul","doc":""},"USize.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L362-L363","name":"USize.modn_lt","line":362,"kind":"theorem","docLink":"./Init/Data/UInt/Basic.html#USize.modn_lt","doc":""},"USize.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L306-L306","name":"USize.modn","line":306,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.modn","doc":""},"USize.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L304-L304","name":"USize.mod","line":304,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.mod","doc":""},"USize.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"USize.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#USize.mk","doc":""},"USize.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L322-L322","name":"USize.lt","line":322,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lt","doc":""},"USize.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L310-L310","name":"USize.lor","line":310,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.lor","doc":""},"USize.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L22-L22","name":"USize.log2","line":22,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#USize.log2","doc":""},"USize.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L323-L323","name":"USize.le","line":323,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.le","doc":""},"USize.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L308-L308","name":"USize.land","line":308,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.land","doc":""},"USize.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L302-L302","name":"USize.div","line":302,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.div","doc":""},"USize.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L347-L349","name":"USize.decLt","line":347,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLt","doc":""},"USize.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L353-L355","name":"USize.decLe","line":353,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.decLe","doc":""},"USize.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2011-L2014","name":"USize.decEq","line":2011,"kind":"def","docLink":"./Init/Prelude.html#USize.decEq","doc":"Decides equality on `USize`.\nThis function is overridden with a native implementation.\n"},"USize.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L336-L336","name":"USize.complement","line":336,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.complement","doc":""},"USize.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L296-L296","name":"USize.add","line":296,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#USize.add","doc":""},"USize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1988-L1991","name":"USize","line":1988,"kind":"structure","docLink":"./Init/Prelude.html#USize","doc":"A `USize` is an unsigned integer with the size of a word\nfor the platform's architecture.\n\nFor example, if running on a 32-bit machine, USize is equivalent to UInt32.\nOr on a 64-bit machine, UInt64.\n"},"ULift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L791-L791","name":"ULift.up_down","line":791,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.up_down","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L787-L787","name":"ULift.up","line":787,"kind":"ctor","docLink":"./Init/Prelude.html#ULift.up","doc":"Lift a value into `ULift α` "},"ULift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L794-L794","name":"ULift.down_up","line":794,"kind":"theorem","docLink":"./Init/Prelude.html#ULift.down_up","doc":"Bijection between `α` and `ULift.{v} α` "},"ULift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L788-L788","name":"ULift.down","line":788,"kind":"def","docLink":"./Init/Prelude.html#ULift.down","doc":"Extract a value from `ULift α` "},"ULift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L786-L788","name":"ULift","line":786,"kind":"structure","docLink":"./Init/Prelude.html#ULift","doc":"Universe lifting operation from a lower `Type` universe to a higher one.\nTo express this using level variables, the input is `Type s` and the output is\n`Type (max s r)`, so if `s ≤ r` then the latter is (definitionally) `Type r`.\n\nThe universe variable `r` is written first so that `ULift.{r} α` can be used\nwhen `s` can be inferred from the type of `α`.\n"},"UInt8.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L34-L34","name":"UInt8.xor","line":34,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.xor","doc":""},"UInt8.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1786-L1786","name":"UInt8.val","line":1786,"kind":"def","docLink":"./Init/Prelude.html#UInt8.val","doc":"Unpack a `UInt8` as a `Nat` less than `2^8`.\nThis function is overridden with a native implementation. "},"UInt8.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L241-L241","name":"UInt8.toUInt64","line":241,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt64","doc":""},"UInt8.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L183-L183","name":"UInt8.toUInt32","line":183,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt32","doc":""},"UInt8.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L107-L107","name":"UInt8.toUInt16","line":107,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toUInt16","doc":""},"UInt8.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L16-L16","name":"UInt8.toNat","line":16,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.toNat","doc":""},"UInt8.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L20-L20","name":"UInt8.sub","line":20,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.sub","doc":""},"UInt8.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L14-L15","name":"UInt8.sizeOf","line":14,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt8.sizeOf","doc":""},"UInt8.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1777-L1777","name":"UInt8.size","line":1777,"kind":"def","docLink":"./Init/Prelude.html#UInt8.size","doc":"The size of type `UInt8`, that is, `2^8 = 256`. "},"UInt8.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L38-L38","name":"UInt8.shiftRight","line":38,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftRight","doc":""},"UInt8.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L36-L36","name":"UInt8.shiftLeft","line":36,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.shiftLeft","doc":""},"UInt8.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1796-L1797","name":"UInt8.ofNatCore","line":1796,"kind":"def","docLink":"./Init/Prelude.html#UInt8.ofNatCore","doc":"Pack a `Nat` less than `2^8` into a `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L13-L13","name":"UInt8.ofNat","line":13,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.ofNat","doc":""},"UInt8.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L22-L22","name":"UInt8.mul","line":22,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mul","doc":""},"UInt8.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L28-L28","name":"UInt8.modn","line":28,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.modn","doc":""},"UInt8.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L26-L26","name":"UInt8.mod","line":26,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.mod","doc":""},"UInt8.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt8.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt8.mk","doc":""},"UInt8.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L39-L39","name":"UInt8.lt","line":39,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lt","doc":""},"UInt8.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L32-L32","name":"UInt8.lor","line":32,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.lor","doc":""},"UInt8.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L10-L10","name":"UInt8.log2","line":10,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt8.log2","doc":""},"UInt8.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L40-L40","name":"UInt8.le","line":40,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.le","doc":""},"UInt8.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L30-L30","name":"UInt8.land","line":30,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.land","doc":""},"UInt8.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L24-L24","name":"UInt8.div","line":24,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.div","doc":""},"UInt8.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L64-L66","name":"UInt8.decLt","line":64,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLt","doc":""},"UInt8.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L70-L72","name":"UInt8.decLe","line":70,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.decLe","doc":""},"UInt8.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1805-L1808","name":"UInt8.decEq","line":1805,"kind":"def","docLink":"./Init/Prelude.html#UInt8.decEq","doc":"Decides equality on `UInt8`.\nThis function is overridden with a native implementation.\n"},"UInt8.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L53-L53","name":"UInt8.complement","line":53,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.complement","doc":""},"UInt8.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L18-L18","name":"UInt8.add","line":18,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt8.add","doc":""},"UInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1783-L1786","name":"UInt8","line":1783,"kind":"structure","docLink":"./Init/Prelude.html#UInt8","doc":"The type of unsigned 8-bit integers. This type has special support in the\ncompiler to make it actually 8 bits rather than wrapping a `Nat`.\n"},"UInt64.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L227-L227","name":"UInt64.xor","line":227,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.xor","doc":""},"UInt64.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1940-L1940","name":"UInt64.val","line":1940,"kind":"def","docLink":"./Init/Prelude.html#UInt64.val","doc":"Unpack a `UInt64` as a `Nat` less than `2^64`.\nThis function is overridden with a native implementation. "},"UInt64.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3355-L3355","name":"UInt64.toUSize","line":3355,"kind":"opaque","docLink":"./Init/Prelude.html#UInt64.toUSize","doc":"Converts a `UInt64` to a `USize` by reducing modulo `USize.size`. "},"UInt64.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L235-L235","name":"UInt64.toUInt8","line":235,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt8","doc":""},"UInt64.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L239-L239","name":"UInt64.toUInt32","line":239,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt32","doc":""},"UInt64.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L237-L237","name":"UInt64.toUInt16","line":237,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toUInt16","doc":""},"UInt64.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L209-L209","name":"UInt64.toNat","line":209,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.toNat","doc":""},"UInt64.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L107-L107","name":"UInt64.toFloat","line":107,"kind":"opaque","docLink":"./Init/Data/Float.html#UInt64.toFloat","doc":""},"UInt64.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L213-L213","name":"UInt64.sub","line":213,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.sub","doc":""},"UInt64.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L23-L24","name":"UInt64.sizeOf","line":23,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt64.sizeOf","doc":""},"UInt64.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1932-L1932","name":"UInt64.size","line":1932,"kind":"def","docLink":"./Init/Prelude.html#UInt64.size","doc":"The size of type `UInt64`, that is, `2^64 = 18446744073709551616`. "},"UInt64.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L231-L231","name":"UInt64.shiftRight","line":231,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftRight","doc":""},"UInt64.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L229-L229","name":"UInt64.shiftLeft","line":229,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.shiftLeft","doc":""},"UInt64.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1950-L1951","name":"UInt64.ofNatCore","line":1950,"kind":"def","docLink":"./Init/Prelude.html#UInt64.ofNatCore","doc":"Pack a `Nat` less than `2^64` into a `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L206-L206","name":"UInt64.ofNat","line":206,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.ofNat","doc":""},"UInt64.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L215-L215","name":"UInt64.mul","line":215,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mul","doc":""},"UInt64.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L221-L221","name":"UInt64.modn","line":221,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.modn","doc":""},"UInt64.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L219-L219","name":"UInt64.mod","line":219,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.mod","doc":""},"UInt64.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt64.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt64.mk","doc":""},"UInt64.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L232-L232","name":"UInt64.lt","line":232,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lt","doc":""},"UInt64.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L225-L225","name":"UInt64.lor","line":225,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.lor","doc":""},"UInt64.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L19-L19","name":"UInt64.log2","line":19,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt64.log2","doc":""},"UInt64.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L233-L233","name":"UInt64.le","line":233,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.le","doc":""},"UInt64.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L223-L223","name":"UInt64.land","line":223,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.land","doc":""},"UInt64.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L217-L217","name":"UInt64.div","line":217,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.div","doc":""},"UInt64.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L272-L274","name":"UInt64.decLt","line":272,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLt","doc":""},"UInt64.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L278-L280","name":"UInt64.decLe","line":278,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.decLe","doc":""},"UInt64.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1959-L1962","name":"UInt64.decEq","line":1959,"kind":"def","docLink":"./Init/Prelude.html#UInt64.decEq","doc":"Decides equality on `UInt64`.\nThis function is overridden with a native implementation.\n"},"UInt64.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L258-L258","name":"UInt64.complement","line":258,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.complement","doc":""},"UInt64.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L211-L211","name":"UInt64.add","line":211,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt64.add","doc":""},"UInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1937-L1940","name":"UInt64","line":1937,"kind":"structure","docLink":"./Init/Prelude.html#UInt64","doc":"The type of unsigned 64-bit integers. This type has special support in the\ncompiler to make it actually 64 bits rather than wrapping a `Nat`.\n"},"UInt32.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L173-L173","name":"UInt32.xor","line":173,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.xor","doc":""},"UInt32.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1864-L1864","name":"UInt32.val","line":1864,"kind":"def","docLink":"./Init/Prelude.html#UInt32.val","doc":"Unpack a `UInt32` as a `Nat` less than `2^32`.\nThis function is overridden with a native implementation. "},"UInt32.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L318-L318","name":"UInt32.toUSize","line":318,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUSize","doc":""},"UInt32.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L179-L179","name":"UInt32.toUInt8","line":179,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt8","doc":""},"UInt32.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L245-L245","name":"UInt32.toUInt64","line":245,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt64","doc":""},"UInt32.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L181-L181","name":"UInt32.toUInt16","line":181,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.toUInt16","doc":""},"UInt32.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1882-L1882","name":"UInt32.toNat","line":1882,"kind":"def","docLink":"./Init/Prelude.html#UInt32.toNat","doc":"Unpack a `UInt32` as a `Nat`.\nThis function is overridden with a native implementation.\n"},"UInt32.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L159-L159","name":"UInt32.sub","line":159,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.sub","doc":""},"UInt32.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L20-L21","name":"UInt32.sizeOf","line":20,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt32.sizeOf","doc":""},"UInt32.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1855-L1855","name":"UInt32.size","line":1855,"kind":"def","docLink":"./Init/Prelude.html#UInt32.size","doc":"The size of type `UInt32`, that is, `2^32 = 4294967296`. "},"UInt32.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L177-L177","name":"UInt32.shiftRight","line":177,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftRight","doc":""},"UInt32.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L175-L175","name":"UInt32.shiftLeft","line":175,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.shiftLeft","doc":""},"UInt32.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1874-L1875","name":"UInt32.ofNatCore","line":1874,"kind":"def","docLink":"./Init/Prelude.html#UInt32.ofNatCore","doc":"Pack a `Nat` less than `2^32` into a `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L154-L154","name":"UInt32.ofNat'","line":154,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat'","doc":""},"UInt32.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L152-L152","name":"UInt32.ofNat","line":152,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.ofNat","doc":""},"UInt32.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L161-L161","name":"UInt32.mul","line":161,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mul","doc":""},"UInt32.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L167-L167","name":"UInt32.modn","line":167,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.modn","doc":""},"UInt32.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L165-L165","name":"UInt32.mod","line":165,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.mod","doc":""},"UInt32.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt32.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt32.mk","doc":""},"UInt32.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L171-L171","name":"UInt32.lor","line":171,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.lor","doc":""},"UInt32.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L16-L16","name":"UInt32.log2","line":16,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt32.log2","doc":""},"UInt32.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L169-L169","name":"UInt32.land","line":169,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.land","doc":""},"UInt32.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2048-L2049","name":"UInt32.isValidChar","line":2048,"kind":"def","docLink":"./Init/Prelude.html#UInt32.isValidChar","doc":"A `UInt32` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"UInt32.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L163-L163","name":"UInt32.div","line":163,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.div","doc":""},"UInt32.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1912-L1914","name":"UInt32.decLt","line":1912,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLt","doc":"Decides less-equal on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1922-L1924","name":"UInt32.decLe","line":1922,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decLe","doc":"Decides less-than on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1890-L1893","name":"UInt32.decEq","line":1890,"kind":"def","docLink":"./Init/Prelude.html#UInt32.decEq","doc":"Decides equality on `UInt32`.\nThis function is overridden with a native implementation.\n"},"UInt32.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L196-L196","name":"UInt32.complement","line":196,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.complement","doc":""},"UInt32.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L157-L157","name":"UInt32.add","line":157,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt32.add","doc":""},"UInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1861-L1864","name":"UInt32","line":1861,"kind":"structure","docLink":"./Init/Prelude.html#UInt32","doc":"The type of unsigned 32-bit integers. This type has special support in the\ncompiler to make it actually 32 bits rather than wrapping a `Nat`.\n"},"UInt16.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L101-L101","name":"UInt16.xor","line":101,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.xor","doc":""},"UInt16.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1825-L1825","name":"UInt16.val","line":1825,"kind":"def","docLink":"./Init/Prelude.html#UInt16.val","doc":"Unpack a `UInt16` as a `Nat` less than `2^16`.\nThis function is overridden with a native implementation. "},"UInt16.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L105-L105","name":"UInt16.toUInt8","line":105,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt8","doc":""},"UInt16.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L243-L243","name":"UInt16.toUInt64","line":243,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt64","doc":""},"UInt16.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L185-L185","name":"UInt16.toUInt32","line":185,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toUInt32","doc":""},"UInt16.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L83-L83","name":"UInt16.toNat","line":83,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.toNat","doc":""},"UInt16.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L87-L87","name":"UInt16.sub","line":87,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.sub","doc":""},"UInt16.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L17-L18","name":"UInt16.sizeOf","line":17,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#UInt16.sizeOf","doc":""},"UInt16.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1816-L1816","name":"UInt16.size","line":1816,"kind":"def","docLink":"./Init/Prelude.html#UInt16.size","doc":"The size of type `UInt16`, that is, `2^16 = 65536`. "},"UInt16.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L109-L109","name":"UInt16.shiftRight","line":109,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftRight","doc":""},"UInt16.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L103-L103","name":"UInt16.shiftLeft","line":103,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.shiftLeft","doc":""},"UInt16.ofNatCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1835-L1836","name":"UInt16.ofNatCore","line":1835,"kind":"def","docLink":"./Init/Prelude.html#UInt16.ofNatCore","doc":"Pack a `Nat` less than `2^16` into a `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L80-L80","name":"UInt16.ofNat","line":80,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.ofNat","doc":""},"UInt16.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L89-L89","name":"UInt16.mul","line":89,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mul","doc":""},"UInt16.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L95-L95","name":"UInt16.modn","line":95,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.modn","doc":""},"UInt16.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L93-L93","name":"UInt16.mod","line":93,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.mod","doc":""},"UInt16.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"UInt16.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#UInt16.mk","doc":""},"UInt16.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L110-L110","name":"UInt16.lt","line":110,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lt","doc":""},"UInt16.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L99-L99","name":"UInt16.lor","line":99,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.lor","doc":""},"UInt16.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Log2.lean#L13-L13","name":"UInt16.log2","line":13,"kind":"def","docLink":"./Init/Data/UInt/Log2.html#UInt16.log2","doc":""},"UInt16.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L111-L111","name":"UInt16.le","line":111,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.le","doc":""},"UInt16.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L97-L97","name":"UInt16.land","line":97,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.land","doc":""},"UInt16.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L91-L91","name":"UInt16.div","line":91,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.div","doc":""},"UInt16.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L136-L138","name":"UInt16.decLt","line":136,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLt","doc":""},"UInt16.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L142-L144","name":"UInt16.decLe","line":142,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.decLe","doc":""},"UInt16.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1844-L1847","name":"UInt16.decEq","line":1844,"kind":"def","docLink":"./Init/Prelude.html#UInt16.decEq","doc":"Decides equality on `UInt16`.\nThis function is overridden with a native implementation.\n"},"UInt16.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L125-L125","name":"UInt16.complement","line":125,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.complement","doc":""},"UInt16.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L85-L85","name":"UInt16.add","line":85,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#UInt16.add","doc":""},"UInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1822-L1825","name":"UInt16","line":1822,"kind":"structure","docLink":"./Init/Prelude.html#UInt16","doc":"The type of unsigned 16-bit integers. This type has special support in the\ncompiler to make it actually 16 bits rather than wrapping a `Nat`.\n"},"TypeName.typeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Dynamic.lean#L54-L54","name":"TypeName.typeName","line":54,"kind":"opaque","docLink":"./Init/Dynamic.html#TypeName.typeName","doc":"Returns a declaration name of the type.\n"},"TypeName.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Dynamic.lean#L44-L45","name":"TypeName.mk","line":44,"kind":"def","docLink":"./Init/Dynamic.html#TypeName.mk","doc":"Creates a `TypeName` instance.\n\nFor safety, it is required that the constant `typeName` is definitionally equal\nto `α`.\n"},"TypeName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Dynamic.lean#L33-L34","name":"TypeName","line":33,"kind":"class","docLink":"./Init/Dynamic.html#TypeName","doc":"Dynamic type name information.\nTypes with an instance of `TypeName` can be stored in an `Dynamic`.\nThe type class contains the declaration name of the type,\nwhich must not have any universe parameters\nand be of type `Sort ..` (i.e., monomorphic).\n\nThe preferred way to declare instances of this type is using the derive\nhandler, which will internally use the unsafe `TypeName.mk` function.\n\nMorally, this is the same as:\n```lean\nclass TypeName (α : Type) where unsafe mk ::\n typeName : Name\n```\n"},"True.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L177-L179","name":"True.intro","line":177,"kind":"ctor","docLink":"./Init/Prelude.html#True.intro","doc":"`True` is true, and `True.intro` (or more commonly, `trivial`)\nis the proof. "},"True":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L176-L179","name":"True","line":176,"kind":"inductive","docLink":"./Init/Prelude.html#True","doc":"`True` is a proposition and has only an introduction rule, `True.intro : True`.\nIn other words, `True` is simply true, and has a canonical proof, `True.intro`\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Trans.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1124-L1124","name":"Trans.trans","line":1124,"kind":"def","docLink":"./Init/Prelude.html#Trans.trans","doc":"Compose two proofs by transitivity, generalized over the relations involved. "},"Trans.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1122-L1122","name":"Trans.mk","line":1122,"kind":"ctor","docLink":"./Init/Prelude.html#Trans.mk","doc":""},"Trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1122-L1124","name":"Trans","line":1122,"kind":"class","docLink":"./Init/Prelude.html#Trans","doc":"Transitive chaining of proofs, used e.g. by `calc`.\n\nIt takes two relations `r` and `s` as \"input\", and produces an \"output\"\nrelation `t`, with the property that `r a b` and `s b c` implies `t a c`.\nThe `calc` tactic uses this so that when it sees a chain with `a ≤ b` and `b < c`\nit knows that this should be a proof of `a < c` because there is an instance\n`Trans (·≤·) (·<·) (·<·)`.\n"},"ToString.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L20-L20","name":"ToString.toString","line":20,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#ToString.toString","doc":""},"ToString.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L19-L19","name":"ToString.mk","line":19,"kind":"ctor","docLink":"./Init/Data/ToString/Basic.html#ToString.mk","doc":""},"ToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L19-L20","name":"ToString","line":19,"kind":"class","docLink":"./Init/Data/ToString/Basic.html#ToString","doc":""},"ToStream.toStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Stream.lean#L44-L44","name":"ToStream.toStream","line":44,"kind":"def","docLink":"./Init/Data/Stream.html#ToStream.toStream","doc":""},"ToStream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Stream.lean#L43-L43","name":"ToStream.mk","line":43,"kind":"ctor","docLink":"./Init/Data/Stream.html#ToStream.mk","doc":""},"ToStream":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Stream.lean#L43-L44","name":"ToStream","line":43,"kind":"class","docLink":"./Init/Data/Stream.html#ToStream","doc":"Streams are used to implement parallel `for` statements.\nExample:\n```\nfor x in xs, y in ys do\n ...\n```\nis expanded into\n```\nlet mut s := toStream ys\nfor x in xs do\n match Stream.next? s with\n | none => break\n | some (y, s') =>\n s := s'\n ...\n```\n"},"ToBool.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L40-L40","name":"ToBool.toBool","line":40,"kind":"def","docLink":"./Init/Control/Basic.html#ToBool.toBool","doc":""},"ToBool.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L39-L39","name":"ToBool.mk","line":39,"kind":"ctor","docLink":"./Init/Control/Basic.html#ToBool.mk","doc":""},"ToBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L39-L40","name":"ToBool","line":39,"kind":"class","docLink":"./Init/Control/Basic.html#ToBool","doc":""},"Thunk.sizeOf_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L70-L71","name":"Thunk.sizeOf_eq","line":70,"kind":"theorem","docLink":"./Init/Core.html#Thunk.sizeOf_eq","doc":""},"Thunk.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L51-L52","name":"Thunk.pure","line":51,"kind":"def","docLink":"./Init/Core.html#Thunk.pure","doc":"Store a value in a thunk. Note that the value has already been computed, so there is no laziness. "},"Thunk.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L44-L44","name":"Thunk.mk","line":44,"kind":"ctor","docLink":"./Init/Core.html#Thunk.mk","doc":"Constructs a new thunk from a function `Unit → α`\nthat will be called when the thunk is forced. "},"Thunk.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L64-L65","name":"Thunk.map","line":64,"kind":"def","docLink":"./Init/Core.html#Thunk.map","doc":"Map a function over a thunk. "},"Thunk.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L60-L61","name":"Thunk.get","line":60,"kind":"def","docLink":"./Init/Core.html#Thunk.get","doc":"Forces a thunk to extract the value. This will cache the result,\nso a second call to the same function will return the value in O(1)\ninstead of calling the stored getter function.\n"},"Thunk.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L67-L68","name":"Thunk.bind","line":67,"kind":"def","docLink":"./Init/Core.html#Thunk.bind","doc":"Constructs a thunk that applies `f` to the result of `x` when forced. "},"Thunk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L41-L46","name":"Thunk","line":41,"kind":"structure","docLink":"./Init/Core.html#Thunk","doc":"Thunks are \"lazy\" values that are evaluated when first accessed using `Thunk.get/map/bind`.\nThe value is then stored and not recomputed for all further accesses. "},"Tensor2d'.transpose_transpose":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L31-L31","name":"Tensor2d'.transpose_transpose","line":31,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose_transpose","doc":""},"Tensor2d'.transpose":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L26-L29","name":"Tensor2d'.transpose","line":26,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.transpose","doc":""},"Tensor2d'.mk":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L16","name":"Tensor2d'.mk","line":16,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mk","doc":""},"Tensor2d'.mat":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L19-L19","name":"Tensor2d'.mat","line":19,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.mat","doc":""},"Tensor2d'.map_functorial":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L38-L38","name":"Tensor2d'.map_functorial","line":38,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_functorial","doc":""},"Tensor2d'.map_extract":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L65-L76","name":"Tensor2d'.map_extract","line":65,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_extract","doc":"This implies fill_extract "},"Tensor2d'.map_error":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L40-L42","name":"Tensor2d'.map_error","line":40,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map_error","doc":""},"Tensor2d'.map":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L33-L36","name":"Tensor2d'.map","line":33,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.map","doc":""},"Tensor2d'.fill_extract":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L78-L81","name":"Tensor2d'.fill_extract","line":78,"kind":"theorem","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill_extract","doc":""},"Tensor2d'.fill":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L46-L46","name":"Tensor2d'.fill","line":46,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.fill","doc":""},"Tensor2d'.extract":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L49-L62","name":"Tensor2d'.extract","line":49,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.extract","doc":"extract a submatrix of (sz₀ × sz₁) size at offset (δ₀, δ₁). Fails if this is out of bounds. "},"Tensor2d'.error":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L21-L24","name":"Tensor2d'.error","line":21,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.error","doc":""},"Tensor2d'.dim₁":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L18-L18","name":"Tensor2d'.dim₁","line":18,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₁","doc":""},"Tensor2d'.dim₀":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L17-L17","name":"Tensor2d'.dim₀","line":17,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'.dim₀","doc":""},"Tensor2d'":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L16-L19","name":"Tensor2d'","line":16,"kind":"structure","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Tensor2d'","doc":"Tensor2d with existential dimension sizes. "},"Task.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L404-L405","name":"Task.spawn","line":404,"kind":"def","docLink":"./Init/Core.html#Task.spawn","doc":"`spawn fn : Task α` constructs and immediately launches a new task for\nevaluating the function `fn () : α` asynchronously.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L364-L364","name":"Task.pure","line":364,"kind":"ctor","docLink":"./Init/Core.html#Task.pure","doc":"`Task.pure (a : α)` constructs a task that is already resolved with value `a`. "},"Task.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L416-L417","name":"Task.map","line":416,"kind":"def","docLink":"./Init/Core.html#Task.map","doc":"`map f x` maps function `f` over the task `x`: that is, it constructs\n(and immediately launches) a new task which will wait for the value of `x` to\nbe available and then calls `f` on the result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L367-L367","name":"Task.get","line":367,"kind":"def","docLink":"./Init/Core.html#Task.get","doc":"If `task : Task α` then `task.get : α` blocks the current thread until the\nvalue is available, and then returns the result of the task. "},"Task.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L429-L430","name":"Task.bind","line":429,"kind":"def","docLink":"./Init/Core.html#Task.bind","doc":"`bind x f` does a monad \"bind\" operation on the task `x` with function `f`:\nthat is, it constructs (and immediately launches) a new task which will wait\nfor the value of `x` to be available and then calls `f` on the result,\nresulting in a new task which is then run for a result.\n\n`prio`, if provided, is the priority of the task.\n"},"Task.Priority.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L387-L387","name":"Task.Priority.max","line":387,"kind":"def","docLink":"./Init/Core.html#Task.Priority.max","doc":"The highest regular priority for spawned tasks: `8`.\n\nSpawning a task with a priority higher than `Task.Priority.max` is not an error but\nwill spawn a dedicated worker for the task, see `Task.Priority.dedicated`.\nRegular priority tasks are placed in a thread pool and worked on according to the priority order.\n"},"Task.Priority.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L378-L378","name":"Task.Priority.default","line":378,"kind":"def","docLink":"./Init/Core.html#Task.Priority.default","doc":"The default priority for spawned tasks, also the lowest priority: `0`. "},"Task.Priority.dedicated":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L394-L394","name":"Task.Priority.dedicated","line":394,"kind":"def","docLink":"./Init/Core.html#Task.Priority.dedicated","doc":"Any priority higher than `Task.Priority.max` will result in the task being scheduled\nimmediately on a dedicated thread. This is particularly useful for long-running and/or\nI/O-bound tasks since Lean will by default allocate no more non-dedicated workers\nthan the number of cores to reduce context switches.\n"},"Task.Priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L375-L375","name":"Task.Priority","line":375,"kind":"def","docLink":"./Init/Core.html#Task.Priority","doc":"Task priority. Tasks with higher priority will always be scheduled before ones with lower priority. "},"Task":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L362-L368","name":"Task","line":362,"kind":"structure","docLink":"./Init/Core.html#Task","doc":"`Task α` is a primitive for asynchronous computation.\nIt represents a computation that will resolve to a value of type `α`,\npossibly being computed on another thread. This is similar to `Future` in Scala,\n`Promise` in Javascript, and `JoinHandle` in Rust.\n\nThe tasks have an overridden representation in the runtime.\n"},"TUS":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L171-L176","name":"TUS","line":171,"kind":"instance","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#TUS","doc":""},"TC.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L144-L145","name":"TC.wf","line":144,"kind":"def","docLink":"./Init/WF.html#TC.wf","doc":""},"TC.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L949-L950","name":"TC.trans","line":949,"kind":"ctor","docLink":"./Init/Core.html#TC.trans","doc":"The transitive closure is transitive. "},"TC.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L947-L948","name":"TC.base","line":947,"kind":"ctor","docLink":"./Init/Core.html#TC.base","doc":"If `r a b` then `r⁺ a b`. This is the base case of the transitive closure. "},"TC.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L135-L142","name":"TC.accessible","line":135,"kind":"def","docLink":"./Init/WF.html#TC.accessible","doc":""},"TC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L946-L950","name":"TC","line":946,"kind":"inductive","docLink":"./Init/Core.html#TC","doc":"The transitive closure `r⁺` of a relation `r` is the smallest relation which is\ntransitive and contains `r`. `r⁺ a z` if and only if there exists a sequence\n`a r b r ... r z` of length at least 1 connecting `a` to `z`.\n"},"System.mkFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L114-L115","name":"System.mkFilePath","line":114,"kind":"def","docLink":"./Init/System/FilePath.html#System.mkFilePath","doc":""},"System.instToStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L22-L23","name":"System.instToStringFilePath","line":22,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instToStringFilePath","doc":""},"System.instReprFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L19-L20","name":"System.instReprFilePath","line":19,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instReprFilePath","doc":""},"System.instInhabitedFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L17-L17","name":"System.instInhabitedFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instInhabitedFilePath","doc":""},"System.instHashableFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L17-L17","name":"System.instHashableFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instHashableFilePath","doc":""},"System.instDecidableEqFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L17-L17","name":"System.instDecidableEqFilePath","line":17,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instDecidableEqFilePath","doc":""},"System.instCoeStringFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L117-L118","name":"System.instCoeStringFilePath","line":117,"kind":"instance","docLink":"./Init/System/FilePath.html#System.instCoeStringFilePath","doc":""},"System.Uri.unescapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L83-L84","name":"System.Uri.unescapeUri","line":83,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.unescapeUri","doc":"Replaces all %HH Uri escapings in the given string with their\ncorresponding unicode code points. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.Uri.pathToUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L87-L97","name":"System.Uri.pathToUri","line":87,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.pathToUri","doc":"Convert the given FilePath to a \"file:///encodedpath\" Uri. "},"System.Uri.fileUriToPath?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L101-L112","name":"System.Uri.fileUriToPath?","line":101,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.fileUriToPath?","doc":"Convert the given uri to a FilePath stripping the 'file://' prefix,\nignoring the optional host name. "},"System.Uri.escapeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L76-L77","name":"System.Uri.escapeUri","line":76,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.escapeUri","doc":"Replaces special characters in the given Uri with %HH Uri escapings. "},"System.Uri.UriEscape.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L15-L15","name":"System.Uri.UriEscape.zero","line":15,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.zero","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L69-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","line":69,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar.uInt8ToHex","doc":""},"System.Uri.UriEscape.uriEscapeAsciiChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L61-L72","name":"System.Uri.UriEscape.uriEscapeAsciiChar","line":61,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.uriEscapeAsciiChar","doc":""},"System.Uri.UriEscape.rfc3986ReservedChars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L59-L59","name":"System.Uri.UriEscape.rfc3986ReservedChars","line":59,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.rfc3986ReservedChars","doc":""},"System.Uri.UriEscape.nine":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L16-L16","name":"System.Uri.UriEscape.nine","line":16,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.nine","doc":""},"System.Uri.UriEscape.letterf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L18-L18","name":"System.Uri.UriEscape.letterf","line":18,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterf","doc":""},"System.Uri.UriEscape.lettera":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L17-L17","name":"System.Uri.UriEscape.lettera","line":17,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.lettera","doc":""},"System.Uri.UriEscape.letterF":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L20-L20","name":"System.Uri.UriEscape.letterF","line":20,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterF","doc":""},"System.Uri.UriEscape.letterA":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L19-L19","name":"System.Uri.UriEscape.letterA","line":19,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.letterA","doc":""},"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L53-L57","name":"System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","line":53,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri.hexDigitToUInt8?","doc":""},"System.Uri.UriEscape.decodeUri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Uri.lean#L25-L57","name":"System.Uri.UriEscape.decodeUri","line":25,"kind":"def","docLink":"./Init/System/Uri.html#System.Uri.UriEscape.decodeUri","doc":"Decode %HH escapings in the given string. Note that sometimes a consecutive\nsequence of multiple escapings can represet a utf-8 encoded sequence for\na single unicode code point and these will also be decoded correctly. "},"System.SearchPath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L131-L132","name":"System.SearchPath.toString","line":131,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.toString","doc":""},"System.SearchPath.separator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L125-L126","name":"System.SearchPath.separator","line":125,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.separator","doc":"The character that is used to separate the entries in the $PATH (or %PATH%) environment variable. "},"System.SearchPath.parse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L128-L129","name":"System.SearchPath.parse","line":128,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath.parse","doc":""},"System.SearchPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L120-L120","name":"System.SearchPath","line":120,"kind":"def","docLink":"./Init/System/FilePath.html#System.SearchPath","doc":""},"System.Platform.numBits_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1738-L1739","name":"System.Platform.numBits_eq","line":1738,"kind":"theorem","docLink":"./Init/Prelude.html#System.Platform.numBits_eq","doc":""},"System.Platform.numBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1735-L1736","name":"System.Platform.numBits","line":1735,"kind":"def","docLink":"./Init/Prelude.html#System.Platform.numBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits. "},"System.Platform.isWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L16-L16","name":"System.Platform.isWindows","line":16,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isWindows","doc":""},"System.Platform.isOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L17-L17","name":"System.Platform.isOSX","line":17,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isOSX","doc":""},"System.Platform.isEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L18-L18","name":"System.Platform.isEmscripten","line":18,"kind":"def","docLink":"./Init/System/Platform.html#System.Platform.isEmscripten","doc":""},"System.Platform.getNumBits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1731-L1732","name":"System.Platform.getNumBits","line":1731,"kind":"opaque","docLink":"./Init/Prelude.html#System.Platform.getNumBits","doc":"Gets the word size of the platform. That is, whether the platform is 64 or 32 bits.\n\nThis function is opaque because we cannot guarantee at compile time that the target\nwill have the same size as the host, and also because we would like to avoid\ntypechecking being architecture-dependent. Nevertheless, lean only works on\n64 and 32 bit systems so we can encode this as a fact available for proof purposes.\n"},"System.Platform.getIsWindows":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L12-L12","name":"System.Platform.getIsWindows","line":12,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsWindows","doc":""},"System.Platform.getIsOSX":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L13-L13","name":"System.Platform.getIsOSX","line":13,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsOSX","doc":""},"System.Platform.getIsEmscripten":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Platform.lean#L14-L14","name":"System.Platform.getIsEmscripten","line":14,"kind":"opaque","docLink":"./Init/System/Platform.html#System.Platform.getIsEmscripten","doc":""},"System.FilePath.withFileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L99-L102","name":"System.FilePath.withFileName","line":99,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withFileName","doc":""},"System.FilePath.withExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L104-L107","name":"System.FilePath.withExtension","line":104,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.withExtension","doc":""},"System.FilePath.walkDir.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L487-L503","name":"System.FilePath.walkDir.go","line":487,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.walkDir.go","doc":""},"System.FilePath.walkDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L484-L503","name":"System.FilePath.walkDir","line":484,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.walkDir","doc":"Return all filesystem entries of a preorder traversal of all directories satisfying `enter`, starting at `p`.\nSymbolic links are visited as well by default. "},"System.FilePath.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L16-L16","name":"System.FilePath.toString","line":16,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.toString","doc":""},"System.FilePath.readDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L468-L468","name":"System.FilePath.readDir","line":468,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.readDir","doc":""},"System.FilePath.pathSeparators":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L32-L33","name":"System.FilePath.pathSeparators","line":32,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparators","doc":"The list of all possible separators. "},"System.FilePath.pathSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L28-L29","name":"System.FilePath.pathSeparator","line":28,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.pathSeparator","doc":"The character that separates directories. In the case where more than one character is possible, `pathSeparator` is the 'ideal' one. "},"System.FilePath.pathExists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L478-L479","name":"System.FilePath.pathExists","line":478,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.pathExists","doc":""},"System.FilePath.parent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L75-L76","name":"System.FilePath.parent","line":75,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.parent","doc":""},"System.FilePath.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L42-L50","name":"System.FilePath.normalize","line":42,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.normalize","doc":""},"System.FilePath.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L1-L1","name":"System.FilePath.mk","line":1,"kind":"ctor","docLink":"./Init/System/FilePath.html#System.FilePath.mk","doc":""},"System.FilePath.metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L471-L471","name":"System.FilePath.metadata","line":471,"kind":"opaque","docLink":"./Init/System/IO.html#System.FilePath.metadata","doc":""},"System.FilePath.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L60-L64","name":"System.FilePath.join","line":60,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.join","doc":""},"System.FilePath.isRelative":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L57-L58","name":"System.FilePath.isRelative","line":57,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isRelative","doc":""},"System.FilePath.isDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L473-L476","name":"System.FilePath.isDir","line":473,"kind":"def","docLink":"./Init/System/IO.html#System.FilePath.isDir","doc":""},"System.FilePath.isAbsolute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L54-L55","name":"System.FilePath.isAbsolute","line":54,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.isAbsolute","doc":""},"System.FilePath.instHDivFilePathString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L69-L70","name":"System.FilePath.instHDivFilePathString","line":69,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instHDivFilePathString","doc":""},"System.FilePath.instDivFilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L66-L67","name":"System.FilePath.instDivFilePath","line":66,"kind":"instance","docLink":"./Init/System/FilePath.html#System.FilePath.instDivFilePath","doc":""},"System.FilePath.fileStem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L85-L90","name":"System.FilePath.fileStem","line":85,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileStem","doc":"Extracts the stem (non-extension) part of `p.fileName`. "},"System.FilePath.fileName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L78-L82","name":"System.FilePath.fileName","line":78,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.fileName","doc":""},"System.FilePath.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L92-L97","name":"System.FilePath.extension","line":92,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extension","doc":""},"System.FilePath.extSeparator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L36-L36","name":"System.FilePath.extSeparator","line":36,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.extSeparator","doc":"File extension character "},"System.FilePath.exeExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L38-L39","name":"System.FilePath.exeExtension","line":38,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.exeExtension","doc":""},"System.FilePath.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L109-L110","name":"System.FilePath.components","line":109,"kind":"def","docLink":"./Init/System/FilePath.html#System.FilePath.components","doc":""},"System.FilePath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/FilePath.lean#L15-L17","name":"System.FilePath","line":15,"kind":"structure","docLink":"./Init/System/FilePath.html#System.FilePath","doc":""},"Sum.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L74-L76","name":"Sum.repr","line":74,"kind":"def","docLink":"./Init/Data/Repr.html#Sum.repr","doc":""},"Sum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L105-L106","name":"Sum.inr","line":105,"kind":"ctor","docLink":"./Init/Core.html#Sum.inr","doc":"Right injection into the sum type `α ⊕ β`. If `b : β` then `.inr b : α ⊕ β`. "},"Sum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L103-L104","name":"Sum.inl","line":103,"kind":"ctor","docLink":"./Init/Core.html#Sum.inl","doc":"Left injection into the sum type `α ⊕ β`. If `a : α` then `.inl a : α ⊕ β`. "},"Sum.inhabitedRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L985-L986","name":"Sum.inhabitedRight","line":985,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedRight","doc":""},"Sum.inhabitedLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L982-L983","name":"Sum.inhabitedLeft","line":982,"kind":"instance","docLink":"./Init/Core.html#Sum.inhabitedLeft","doc":""},"Sum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L102-L106","name":"Sum","line":102,"kind":"inductive","docLink":"./Init/Core.html#Sum","doc":"`Sum α β`, or `α ⊕ β`, is the disjoint union of types `α` and `β`.\nAn element of `α ⊕ β` is either of the form `.inl a` where `a : α`,\nor `.inr b` where `b : β`.\n"},"Subtype.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L564-L564","name":"Subtype.val","line":564,"kind":"def","docLink":"./Init/Prelude.html#Subtype.val","doc":"If `s : {x // p x}` then `s.val : α` is the underlying element in the base\ntype. You can also write this as `s.1`, or simply as `s` when the type is\nknown from context. "},"Subtype.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L32-L33","name":"Subtype.sizeOf","line":32,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Subtype.sizeOf","doc":""},"Subtype.property":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L567-L567","name":"Subtype.property","line":567,"kind":"def","docLink":"./Init/Prelude.html#Subtype.property","doc":"If `s : {x // p x}` then `s.2` or `s.property` is the assertion that\n`p s.1`, that is, that `s` is in fact an element for which `p` holds. "},"Subtype.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L560-L560","name":"Subtype.mk","line":560,"kind":"ctor","docLink":"./Init/Prelude.html#Subtype.mk","doc":""},"Subtype.instInhabitedSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L967-L968","name":"Subtype.instInhabitedSubtype","line":967,"kind":"instance","docLink":"./Init/Core.html#Subtype.instInhabitedSubtype","doc":""},"Subtype.instDecidableEqSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L970-L973","name":"Subtype.instDecidableEqSubtype","line":970,"kind":"instance","docLink":"./Init/Core.html#Subtype.instDecidableEqSubtype","doc":""},"Subtype.existsOfSubtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L955-L956","name":"Subtype.existsOfSubtype","line":955,"kind":"theorem","docLink":"./Init/Core.html#Subtype.existsOfSubtype","doc":""},"Subtype.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L963-L965","name":"Subtype.eta","line":963,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eta","doc":""},"Subtype.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L960-L961","name":"Subtype.eq","line":960,"kind":"theorem","docLink":"./Init/Core.html#Subtype.eq","doc":""},"Subtype":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L560-L567","name":"Subtype","line":560,"kind":"structure","docLink":"./Init/Prelude.html#Subtype","doc":"`Subtype p`, usually written as `{x : α // p x}`, is a type which\nrepresents all the elements `x : α` for which `p x` is true. It is structurally\na pair-like type, so if you have `x : α` and `h : p x` then\n`⟨x, h⟩ : {x // p x}`. An element `s : {x // p x}` will coerce to `α` but\nyou can also make it explicit using `s.1` or `s.val`.\n"},"Substring.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L679-L680","name":"Substring.trimRight","line":679,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimRight","doc":""},"Substring.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L676-L677","name":"Substring.trimLeft","line":676,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trimLeft","doc":""},"Substring.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L682-L686","name":"Substring.trim","line":682,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.trim","doc":""},"Substring.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L525-L526","name":"Substring.toString","line":525,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toString","doc":""},"Substring.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L691-L695","name":"Substring.toNat?","line":691,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toNat?","doc":""},"Substring.toName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L840-L854","name":"Substring.toName","line":840,"kind":"def","docLink":"./Init/Meta.html#Substring.toName","doc":""},"Substring.toIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L528-L529","name":"Substring.toIterator","line":528,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.toIterator","doc":""},"Substring.takeWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L636-L643","name":"Substring.takeWhileAux","line":636,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhileAux","doc":""},"Substring.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L645-L648","name":"Substring.takeWhile","line":645,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeWhile","doc":""},"Substring.takeRightWhileAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L655-L664","name":"Substring.takeRightWhileAux","line":655,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhileAux","doc":""},"Substring.takeRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L666-L669","name":"Substring.takeRightWhile","line":666,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRightWhile","doc":""},"Substring.takeRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L584-L585","name":"Substring.takeRight","line":584,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.takeRight","doc":""},"Substring.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L581-L582","name":"Substring.take","line":581,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.take","doc":""},"Substring.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2321-L2321","name":"Substring.str","line":2321,"kind":"def","docLink":"./Init/Prelude.html#Substring.str","doc":"The underlying string to slice. "},"Substring.stopPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2325-L2325","name":"Substring.stopPos","line":2325,"kind":"def","docLink":"./Init/Prelude.html#Substring.stopPos","doc":"The byte position of the end of the string slice. "},"Substring.startPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2323-L2323","name":"Substring.startPos","line":2323,"kind":"def","docLink":"./Init/Prelude.html#Substring.startPos","doc":"The byte position of the start of the string slice. "},"Substring.splitOn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L597-L614","name":"Substring.splitOn.loop","line":597,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn.loop","doc":""},"Substring.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L593-L616","name":"Substring.splitOn","line":593,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.splitOn","doc":""},"Substring.prevn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L562-L564","name":"Substring.prevn","line":562,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prevn","doc":""},"Substring.prev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L553-L556","name":"Substring.prev","line":553,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.prev","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the previous codepoint. "},"Substring.posOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L571-L573","name":"Substring.posOf","line":571,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.posOf","doc":"Return the offset into `s` of the first occurence of `c` in `s`,\nor `s.bsize` if `c` doesn't occur. "},"Substring.nextn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L558-L560","name":"Substring.nextn","line":558,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.nextn","doc":""},"Substring.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L537-L540","name":"Substring.next","line":537,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.next","doc":"Given an offset of a codepoint into the substring,\nreturn the offset there of the next codepoint. "},"Substring.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"Substring.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Substring.mk","doc":""},"Substring.lt_next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L542-L549","name":"Substring.lt_next","line":542,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#Substring.lt_next","doc":""},"Substring.isNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L688-L689","name":"Substring.isNat","line":688,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isNat","doc":""},"Substring.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L522-L523","name":"Substring.isEmpty","line":522,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.isEmpty","doc":""},"Substring.hasBeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L700-L700","name":"Substring.hasBeq","line":700,"kind":"instance","docLink":"./Init/Data/String/Basic.html#Substring.hasBeq","doc":""},"Substring.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L532-L533","name":"Substring.get","line":532,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.get","doc":"Return the codepoint at the given offset into the substring. "},"Substring.front":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L566-L567","name":"Substring.front","line":566,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.front","doc":""},"Substring.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L622-L624","name":"Substring.foldr","line":622,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.foldr","doc":""},"Substring.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L618-L620","name":"Substring.foldl","line":618,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.foldl","doc":""},"Substring.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L590-L591","name":"Substring.extract","line":590,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.extract","doc":""},"Substring.dropWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L650-L653","name":"Substring.dropWhile","line":650,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.dropWhile","doc":""},"Substring.dropRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L671-L674","name":"Substring.dropRightWhile","line":671,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.dropRightWhile","doc":""},"Substring.dropRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L578-L579","name":"Substring.dropRight","line":578,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.dropRight","doc":""},"Substring.drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L575-L576","name":"Substring.drop","line":575,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.drop","doc":""},"Substring.contains":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L633-L634","name":"Substring.contains","line":633,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.contains","doc":""},"Substring.bsize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2331-L2332","name":"Substring.bsize","line":2331,"kind":"def","docLink":"./Init/Prelude.html#Substring.bsize","doc":"The byte length of the substring. "},"Substring.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L697-L698","name":"Substring.beq","line":697,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.beq","doc":""},"Substring.atEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L587-L588","name":"Substring.atEnd","line":587,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.atEnd","doc":""},"Substring.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L626-L628","name":"Substring.any","line":626,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.any","doc":""},"Substring.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L630-L631","name":"Substring.all","line":630,"kind":"def","docLink":"./Init/Data/String/Basic.html#Substring.all","doc":""},"Substring":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2319-L2325","name":"Substring","line":2319,"kind":"structure","docLink":"./Init/Prelude.html#Substring","doc":"A `Substring` is a view into some subslice of a `String`.\nThe actual string slicing is deferred because this would require copying the\nstring; here we only store a reference to the original string for\ngarbage collection purposes.\n"},"Subsingleton.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L869-L869","name":"Subsingleton.intro","line":869,"kind":"ctor","docLink":"./Init/Core.html#Subsingleton.intro","doc":"Construct a proof that `α` is a subsingleton by showing that any two elements are equal. "},"Subsingleton.helim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L876-L879","name":"Subsingleton.helim","line":876,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.helim","doc":""},"Subsingleton.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L873-L874","name":"Subsingleton.elim","line":873,"kind":"theorem","docLink":"./Init/Core.html#Subsingleton.elim","doc":""},"Subsingleton.allEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L871-L871","name":"Subsingleton.allEq","line":871,"kind":"def","docLink":"./Init/Core.html#Subsingleton.allEq","doc":"Any two elements of a subsingleton are equal. 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See `HSub`. "},"Sub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1268-L1268","name":"Sub.mk","line":1268,"kind":"ctor","docLink":"./Init/Prelude.html#Sub.mk","doc":""},"Sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1268-L1270","name":"Sub","line":1268,"kind":"class","docLink":"./Init/Prelude.html#Sub","doc":"The homogeneous version of `HSub`: `a - b : α` where `a b : α`. "},"String.utf8SetAux_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L418-L422","name":"String.utf8SetAux_of_gt","line":418,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux_of_gt","doc":""},"String.utf8SetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L77-L80","name":"String.utf8SetAux","line":77,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8SetAux","doc":""},"String.utf8PrevAux_lt_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L140-L149","name":"String.utf8PrevAux_lt_of_pos","line":140,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux_lt_of_pos","doc":""},"String.utf8PrevAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L94-L98","name":"String.utf8PrevAux","line":94,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8PrevAux","doc":""},"String.utf8GetAux?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L61-L63","name":"String.utf8GetAux?","line":61,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux?","doc":""},"String.utf8GetAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L47-L49","name":"String.utf8GetAux","line":47,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.utf8GetAux","doc":""},"String.utf8ByteSize.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2346-L2348","name":"String.utf8ByteSize.go","line":2346,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize.go","doc":""},"String.utf8ByteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2343-L2348","name":"String.utf8ByteSize","line":2343,"kind":"def","docLink":"./Init/Prelude.html#String.utf8ByteSize","doc":"The UTF-8 byte length of this string.\nThis is overridden by the compiler to be cached and O(1).\n"},"String.utf16PosToCodepointPosFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L49-L50","name":"String.utf16PosToCodepointPosFrom","line":49,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPosFrom","doc":"Computes the position of the Unicode codepoint at UTF-16 offset\n`utf16pos` in the substring of `s` starting at UTF-8 offset `off`. "},"String.utf16PosToCodepointPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L52-L53","name":"String.utf16PosToCodepointPos","line":52,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16PosToCodepointPos","doc":""},"String.utf16Length":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L27-L28","name":"String.utf16Length","line":27,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#String.utf16Length","doc":""},"String.trimRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L736-L737","name":"String.trimRight","line":736,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimRight","doc":""},"String.trimLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L739-L740","name":"String.trimLeft","line":739,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trimLeft","doc":""},"String.trim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L742-L743","name":"String.trim","line":742,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.trim","doc":""},"String.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L751-L752","name":"String.toUpper","line":751,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toUpper","doc":""},"String.toUTF8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Extra.lean#L34-L34","name":"String.toUTF8","line":34,"kind":"opaque","docLink":"./Init/Data/String/Extra.html#String.toUTF8","doc":"Convert the given `String` to a [UTF-8](https://en.wikipedia.org/wiki/UTF-8) encoded byte array. "},"String.toSubstring'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2385-L2386","name":"String.toSubstring'","line":2385,"kind":"def","docLink":"./Init/Prelude.html#String.toSubstring'","doc":"`String.toSubstring` without `[inline]` annotation. "},"String.toSubstring":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2379-L2382","name":"String.toSubstring","line":2379,"kind":"def","docLink":"./Init/Prelude.html#String.toSubstring","doc":"Convert a `String` into a `Substring` denoting the entire string. "},"String.toNat?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L474-L478","name":"String.toNat?","line":474,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toNat?","doc":""},"String.toNat!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Extra.lean#L19-L23","name":"String.toNat!","line":19,"kind":"def","docLink":"./Init/Data/String/Extra.html#String.toNat!","doc":"Interpret the string as the decimal representation of a natural number.\n\nPanics if the string is not a string of digits. "},"String.toName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L856-L857","name":"String.toName","line":856,"kind":"def","docLink":"./Init/Meta.html#String.toName","doc":""},"String.toLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L754-L755","name":"String.toLower","line":754,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toLower","doc":""},"String.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L44-L45","name":"String.toList","line":44,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.toList","doc":"O(n) in the runtime, where n is the length of the String "},"String.toInt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L122-L127","name":"String.toInt?","line":122,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#String.toInt?","doc":""},"String.toInt!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L135-L138","name":"String.toInt!","line":135,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#String.toInt!","doc":""},"String.toFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Instances.lean#L36-L37","name":"String.toFormat","line":36,"kind":"def","docLink":"./Init/Data/Format/Instances.html#String.toFormat","doc":""},"String.toFileMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Position.lean#L83-L84","name":"String.toFileMap","line":83,"kind":"def","docLink":"./Lean/Data/Position.html#String.toFileMap","doc":""},"String.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L718-L719","name":"String.takeWhile","line":718,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeWhile","doc":""},"String.takeRightWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L724-L725","name":"String.takeRightWhile","line":724,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeRightWhile","doc":""},"String.takeRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L715-L716","name":"String.takeRight","line":715,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.takeRight","doc":""},"String.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L712-L713","name":"String.take","line":712,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.take","doc":""},"String.substrEq.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L486-L492","name":"String.substrEq.loop","line":486,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.substrEq.loop","doc":""},"String.substrEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L483-L493","name":"String.substrEq","line":483,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.substrEq","doc":"Return `true` iff the substring of byte size `sz` starting at position `off1` in `s1` is equal to that starting at `off2` in `s2.`.\nFalse if either substring of that byte size does not exist. "},"String.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L272-L272","name":"String.str","line":272,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.str","doc":""},"String.startsWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L730-L731","name":"String.startsWith","line":730,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.startsWith","doc":""},"String.splitOnAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L248-L263","name":"String.splitOnAux","line":248,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOnAux","doc":""},"String.splitOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L265-L266","name":"String.splitOn","line":265,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitOn","doc":""},"String.splitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L232-L243","name":"String.splitAux","line":232,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.splitAux","doc":""},"String.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L245-L246","name":"String.split","line":245,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.split","doc":""},"String.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L283-L284","name":"String.singleton","line":283,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.singleton","doc":""},"String.set_next_add.foo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L429-L441","name":"String.set_next_add.foo","line":429,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add.foo","doc":""},"String.set_next_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L424-L442","name":"String.set_next_add","line":424,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.set_next_add","doc":""},"String.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L83-L84","name":"String.set","line":83,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.set","doc":""},"String.revPosOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L167-L174","name":"String.revPosOfAux","line":167,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOfAux","doc":""},"String.revPosOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L176-L177","name":"String.revPosOf","line":176,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revPosOf","doc":""},"String.revFindAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L191-L198","name":"String.revFindAux","line":191,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFindAux","doc":""},"String.revFind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L200-L201","name":"String.revFind","line":200,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.revFind","doc":""},"String.replace.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L504-L514","name":"String.replace.loop","line":504,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace.loop","doc":""},"String.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L500-L516","name":"String.replace","line":500,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.replace","doc":"Replace all occurrences of `pattern` in `s` with `replacement`. "},"String.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L203-L205","name":"String.quote","line":203,"kind":"def","docLink":"./Init/Data/Repr.html#String.quote","doc":""},"String.pushn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L274-L275","name":"String.pushn","line":274,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.pushn","doc":""},"String.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L34-L35","name":"String.push","line":34,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.push","doc":"The internal implementation uses dynamic arrays and will perform destructive updates\nif the String is not shared. "},"String.prev_lt_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L151-L153","name":"String.prev_lt_of_pos","line":151,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.prev_lt_of_pos","doc":""},"String.prev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L101-L102","name":"String.prev","line":101,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.prev","doc":""},"String.pos_lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L133-L133","name":"String.pos_lt_eq","line":133,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.pos_lt_eq","doc":""},"String.pos_add_char":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L135-L135","name":"String.pos_add_char","line":135,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.pos_add_char","doc":""},"String.posOfAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L155-L162","name":"String.posOfAux","line":155,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.posOfAux","doc":""},"String.posOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L164-L165","name":"String.posOf","line":164,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.posOf","doc":""},"String.one_le_csize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L130-L131","name":"String.one_le_csize","line":130,"kind":"theorem","docLink":"./Init/Data/String/Basic.html#String.one_le_csize","doc":""},"String.offsetOfPosAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L365-L372","name":"String.offsetOfPosAux","line":365,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.offsetOfPosAux","doc":""},"String.offsetOfPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L374-L375","name":"String.offsetOfPos","line":374,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.offsetOfPos","doc":""},"String.nextWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L745-L746","name":"String.nextWhile","line":745,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.nextWhile","doc":""},"String.nextUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L748-L749","name":"String.nextUntil","line":748,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.nextUntil","doc":""},"String.next'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L126-L128","name":"String.next'","line":126,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.next'","doc":"Similar to `next` but runtime does not perform bounds check.\n"},"String.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L90-L92","name":"String.next","line":90,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.next","doc":""},"String.modify":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L86-L87","name":"String.modify","line":86,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.modify","doc":""},"String.mkIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L299-L300","name":"String.mkIterator","line":299,"kind":"def","docLink":"./Init/Data/String/Basic.html#String.mkIterator","doc":""},"String.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2274-L2274","name":"String.mk","line":2274,"kind":"ctor","docLink":"./Init/Prelude.html#String.mk","doc":"Pack a `List Char` into a `String`. This function is overridden by the\ncompiler and is O(n) in the length of the list. 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"},"Std.Range.«term[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L66-L66","name":"Std.Range.«term[_:_]»","line":66,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_]»","doc":""},"Std.Range.«term[_:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L68-L68","name":"Std.Range.«term[_:_:_]»","line":68,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[_:_:_]»","doc":""},"Std.Range.«term[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L65-L65","name":"Std.Range.«term[:_]»","line":65,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_]»","doc":""},"Std.Range.«term[:_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L67-L67","name":"Std.Range.«term[:_:_]»","line":67,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.«term[:_:_]»","doc":""},"Std.Range.stop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L14-L14","name":"Std.Range.stop","line":14,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.stop","doc":""},"Std.Range.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L15-L15","name":"Std.Range.step","line":15,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.step","doc":""},"Std.Range.start":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L13-L13","name":"Std.Range.start","line":13,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.start","doc":""},"Std.Range.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L1-L1","name":"Std.Range.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Range.html#Std.Range.mk","doc":""},"Std.Range.instForMRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L62-L63","name":"Std.Range.instForMRangeNat","line":62,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForMRangeNat","doc":""},"Std.Range.instForInRangeNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L35-L36","name":"Std.Range.instForInRangeNat","line":35,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForInRangeNat","doc":""},"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L50-L51","name":"Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","line":50,"kind":"instance","docLink":"./Init/Data/Range.html#Std.Range.instForIn'RangeNatInferInstanceMembershipInstMembershipNatRange","doc":""},"Std.Range.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L54-L59","name":"Std.Range.forM.loop","line":54,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM.loop","doc":""},"Std.Range.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L53-L60","name":"Std.Range.forM","line":53,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forM","doc":""},"Std.Range.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L25-L32","name":"Std.Range.forIn.loop","line":25,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn.loop","doc":""},"Std.Range.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L39-L47","name":"Std.Range.forIn'.loop","line":39,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'.loop","doc":""},"Std.Range.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L38-L48","name":"Std.Range.forIn'","line":38,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn'","doc":""},"Std.Range.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L23-L33","name":"Std.Range.forIn","line":23,"kind":"def","docLink":"./Init/Data/Range.html#Std.Range.forIn","doc":""},"Std.Range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L12-L15","name":"Std.Range","line":12,"kind":"structure","docLink":"./Init/Data/Range.html#Std.Range","doc":""},"Std.Queue.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L61-L62","name":"Std.Queue.toArray","line":61,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.toArray","doc":""},"Std.Queue.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L19-L19","name":"Std.Queue.mk","line":19,"kind":"ctor","docLink":"./Init/Data/Queue.html#Std.Queue.mk","doc":""},"Std.Queue.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L38-L39","name":"Std.Queue.isEmpty","line":38,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.isEmpty","doc":"`O(1)`. Is the queue empty? "},"Std.Queue.instInhabitedQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L35-L35","name":"Std.Queue.instInhabitedQueue","line":35,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instInhabitedQueue","doc":""},"Std.Queue.instEmptyCollectionQueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L34-L34","name":"Std.Queue.instEmptyCollectionQueue","line":34,"kind":"instance","docLink":"./Init/Data/Queue.html#Std.Queue.instEmptyCollectionQueue","doc":""},"Std.Queue.enqueueAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L46-L47","name":"Std.Queue.enqueueAll","line":46,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueueAll","doc":"`O(|vs|)`. Push a list of elements `vs` on the front of the queue. "},"Std.Queue.enqueue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L42-L43","name":"Std.Queue.enqueue","line":42,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.enqueue","doc":"`O(1)`. Push an element on the front of the queue. "},"Std.Queue.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L32-L32","name":"Std.Queue.empty","line":32,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.empty","doc":"`O(1)`. The empty queue. "},"Std.Queue.eList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L22-L22","name":"Std.Queue.eList","line":22,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.eList","doc":"The enqueue list, which stores elements that have just been pushed\n(with the most recently enqueued elements at the head). "},"Std.Queue.dequeue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L53-L59","name":"Std.Queue.dequeue?","line":53,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dequeue?","doc":"`O(1)` amortized, `O(n)` worst case. Pop an element from the back of the queue,\nreturning the element and the new queue.\n"},"Std.Queue.dList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L25-L25","name":"Std.Queue.dList","line":25,"kind":"def","docLink":"./Init/Data/Queue.html#Std.Queue.dList","doc":"The dequeue list, which buffers elements ready to be dequeued\n(with the head being the next item to be yielded by `dequeue?`). "},"Std.Queue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Queue.lean#L19-L25","name":"Std.Queue","line":19,"kind":"structure","docLink":"./Init/Data/Queue.html#Std.Queue","doc":"A functional queue data structure, using two back-to-back lists.\nIf we think of the queue as having elements pushed on the front and\npopped from the back, then the queue itself is effectively `eList ++ dList.reverse`.\n"},"Std.Format.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L57-L58","name":"Std.Format.text","line":57,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.text","doc":"A node containing a plain string. "},"Std.Format.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L76-L77","name":"Std.Format.tag","line":76,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.tag","doc":"Used for associating auxiliary information (e.g. `Expr`s) with `Format` objects. "},"Std.Format.sbracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L269-L270","name":"Std.Format.sbracket","line":269,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.sbracket","doc":"Creates the format `\"[\" ++ f ++ \"]\"` with a flattening group."},"Std.Format.prettyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L256-L257","name":"Std.Format.prettyM","line":256,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prettyM","doc":"Render the given `f : Format` with a line width of `w`.\n`indent` is the starting amount to indent each line by. "},"Std.Format.pretty'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L32-L33","name":"Std.Format.pretty'","line":32,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.pretty'","doc":""},"Std.Format.pretty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L305-L307","name":"Std.Format.pretty","line":305,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.pretty","doc":"Pretty-print a `Format` object as a string with expected width `w`. "},"Std.Format.prefixJoin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L332-L334","name":"Std.Format.prefixJoin","line":332,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.prefixJoin","doc":"Format each item in `items` and prepend prefix `pre`. "},"Std.Format.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L265-L266","name":"Std.Format.paren","line":265,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.paren","doc":"Creates the format `\"(\" ++ f ++ \")\"` with a flattening group."},"Std.Format.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L39-L40","name":"Std.Format.nil","line":39,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nil","doc":"The empty format. "},"Std.Format.nestD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L283-L284","name":"Std.Format.nestD","line":283,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.nestD","doc":"Nest with the default indentation amount."},"Std.Format.nest":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L59-L71","name":"Std.Format.nest","line":59,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.nest","doc":"`nest n f` tells the formatter that `f` is nested inside something with length `n`\nso that it is pretty-printed with the correct indentation on a line break.\nFor example, we can define a formatter for list `l : List Format` as:\n\n```\nlet f := join <| l.intersperse <| \", \" ++ Format.line\ngroup (nest 1 <| \"[\" ++ f ++ \"]\")\n```\n\nThis will be written all on one line, but if the text is too large,\nthe formatter will put in linebreaks after the commas and indent later lines by 1.\n"},"Std.Format.line":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L41-L43","name":"Std.Format.line","line":41,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.line","doc":"A position where a newline may be inserted\nif the current group does not fit within the allotted column width. "},"Std.Format.joinSuffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L337-L339","name":"Std.Format.joinSuffix","line":337,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSuffix","doc":"Format each item in `items` and append `suffix`. "},"Std.Format.joinSep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L326-L329","name":"Std.Format.joinSep","line":326,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.joinSep","doc":"Intersperse the given list (each item printed with `format`) with the given `sep` format. "},"Std.Format.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L100-L101","name":"Std.Format.join","line":100,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.join","doc":""},"Std.Format.isNil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L103-L105","name":"Std.Format.isNil","line":103,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isNil","doc":""},"Std.Format.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L83-L91","name":"Std.Format.isEmpty","line":83,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.isEmpty","doc":"Check whether the given format contains no characters. "},"Std.Format.instMonadPrettyFormatStateMState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L295-L301","name":"Std.Format.instMonadPrettyFormatStateMState","line":295,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instMonadPrettyFormatStateMState","doc":""},"Std.Format.instInhabitedSpaceResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L111-L111","name":"Std.Format.instInhabitedSpaceResult","line":111,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedSpaceResult","doc":""},"Std.Format.instInhabitedFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instInhabitedFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instInhabitedFlattenBehavior","doc":""},"Std.Format.instCoeStringFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L98-L98","name":"Std.Format.instCoeStringFormat","line":98,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instCoeStringFormat","doc":""},"Std.Format.instBEqFlattenBehavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L31-L31","name":"Std.Format.instBEqFlattenBehavior","line":31,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instBEqFlattenBehavior","doc":""},"Std.Format.instAppendFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L97-L97","name":"Std.Format.instAppendFormat","line":97,"kind":"instance","docLink":"./Init/Data/Format/Basic.html#Std.Format.instAppendFormat","doc":""},"Std.Format.indentD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L287-L288","name":"Std.Format.indentD","line":287,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.indentD","doc":"Insert a newline and then `f`, all nested by the default indent amount. "},"Std.Format.group":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L74-L75","name":"Std.Format.group","line":74,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.group","doc":"Creates a new flattening group for the given inner format. "},"Std.Format.getWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L13-L13","name":"Std.Format.getWidth","line":13,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getWidth","doc":""},"Std.Format.getUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L15-L15","name":"Std.Format.getUnicode","line":15,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getUnicode","doc":""},"Std.Format.getIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L14-L14","name":"Std.Format.getIndent","line":14,"kind":"def","docLink":"./Lean/Data/Format.html#Std.Format.getIndent","doc":""},"Std.Format.format.width":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L17-L20","name":"Std.Format.format.width","line":17,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.width","doc":""},"Std.Format.format.unicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L22-L25","name":"Std.Format.format.unicode","line":22,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.unicode","doc":""},"Std.Format.format.indent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Format.lean#L27-L30","name":"Std.Format.format.indent","line":27,"kind":"opaque","docLink":"./Lean/Data/Format.html#Std.Format.format.indent","doc":""},"Std.Format.fill":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L94-L95","name":"Std.Format.fill","line":94,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.fill","doc":"Alias for a group with `FlattenBehavior` set to `fill`. "},"Std.Format.defWidth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L280-L280","name":"Std.Format.defWidth","line":280,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defWidth","doc":"Default width of the targeted output pane. "},"Std.Format.defUnicode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L278-L278","name":"Std.Format.defUnicode","line":278,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defUnicode","doc":""},"Std.Format.defIndent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L277-L277","name":"Std.Format.defIndent","line":277,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.defIndent","doc":"Default indentation. "},"Std.Format.bracketFill":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L273-L274","name":"Std.Format.bracketFill","line":273,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracketFill","doc":"Same as `bracket` except uses the `fill` flattening behaviour. "},"Std.Format.bracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L261-L262","name":"Std.Format.bracket","line":261,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.bracket","doc":"Create a format `l ++ f ++ r` with a flatten group.\nFlattenBehaviour is `allOrNone`; for `fill` use `bracketFill`. "},"Std.Format.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L72-L73","name":"Std.Format.append","line":72,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.append","doc":"Concatenation of two Formats. "},"Std.Format.align":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L44-L56","name":"Std.Format.align","line":44,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.align","doc":"`align` tells the formatter to pad with spaces to the current indent,\nor else add a newline if we are already at or past the indent. For example:\n```\nnest 2 <| \".\" ++ align ++ \"a\" ++ line ++ \"b\"\n```\nresults in:\n```\n. a\n b\n```\nIf `force` is true, then it will pad to the indent even if it is in a flattened group.\n"},"Std.Format.MonadPrettyFormat.startTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L162-L162","name":"Std.Format.MonadPrettyFormat.startTag","line":162,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.startTag","doc":"Start a scope tagged with `n`. "},"Std.Format.MonadPrettyFormat.pushOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L158-L158","name":"Std.Format.MonadPrettyFormat.pushOutput","line":158,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushOutput","doc":""},"Std.Format.MonadPrettyFormat.pushNewline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L159-L159","name":"Std.Format.MonadPrettyFormat.pushNewline","line":159,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.pushNewline","doc":""},"Std.Format.MonadPrettyFormat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L157-L157","name":"Std.Format.MonadPrettyFormat.mk","line":157,"kind":"ctor","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.mk","doc":""},"Std.Format.MonadPrettyFormat.endTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L164-L164","name":"Std.Format.MonadPrettyFormat.endTags","line":164,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.endTags","doc":"Exit the scope of `n`-many opened tags. "},"Std.Format.MonadPrettyFormat.currColumn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L160-L160","name":"Std.Format.MonadPrettyFormat.currColumn","line":160,"kind":"def","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat.currColumn","doc":""},"Std.Format.MonadPrettyFormat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Basic.lean#L157-L164","name":"Std.Format.MonadPrettyFormat","line":157,"kind":"class","docLink":"./Init/Data/Format/Basic.html#Std.Format.MonadPrettyFormat","doc":"A monad in which we can pretty-print `Format` objects. 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canonical quotient map into `Squash α`. "},"Squash.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1593-L1594","name":"Squash.lift","line":1593,"kind":"def","docLink":"./Init/Core.html#Squash.lift","doc":"If `β` is a subsingleton, then a function `α → β` lifts to `Squash α → β`. "},"Squash.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1589-L1590","name":"Squash.ind","line":1589,"kind":"theorem","docLink":"./Init/Core.html#Squash.ind","doc":""},"Squash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1584-L1584","name":"Squash","line":1584,"kind":"def","docLink":"./Init/Core.html#Squash","doc":"`Squash α` is the quotient of `α` by the always true relation.\nIt is empty if `α` is empty, otherwise it is a singleton.\n(Thus it is unconditionally a `Subsingleton`.)\nIt is the \"universal `Subsingleton`\" mapped from `α`.\n\nIt is similar to `Nonempty α`, which has the same properties, but unlike\n`Nonempty` this is a `Type u`, that is, it is \"data\", and the compiler\nrepresents an element of `Squash α` the same as `α` itself\n(as compared to `Nonempty α`, whose elements are represented by a dummy value).\n\n`Squash.lift` will extract a value in any subsingleton `β` from a function on `α`,\nwhile `Nonempty.rec` can only do the same when `β` is a proposition.\n"},"SizeOf.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L28-L28","name":"SizeOf.sizeOf","line":28,"kind":"def","docLink":"./Init/SizeOf.html#SizeOf.sizeOf","doc":"The \"size\" of an element, a natural number which decreases on fields of\neach inductive type. "},"SizeOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L25-L25","name":"SizeOf.mk","line":25,"kind":"ctor","docLink":"./Init/SizeOf.html#SizeOf.mk","doc":""},"SizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L25-L28","name":"SizeOf","line":25,"kind":"class","docLink":"./Init/SizeOf.html#SizeOf","doc":"`SizeOf` is a typeclass automatically derived for every inductive type,\nwhich equips the type with a \"size\" function to `Nat`.\nThe default instance defines each constructor to be `1` plus the sum of the\nsizes of all the constructor fields.\n\nThis is used for proofs by well-founded induction, since every field of the\nconstructor has a smaller size than the constructor itself,\nand in many cases this will suffice to do the proof that a recursive function\nis only called on smaller values.\nIf the default proof strategy fails, it is recommended to supply a custom\nsize measure using the `termination_by` argument on the function definition.\n"},"Sigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L144-L144","name":"Sigma.snd","line":144,"kind":"def","docLink":"./Init/Core.html#Sigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"Sigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L140-L140","name":"Sigma.mk","line":140,"kind":"ctor","docLink":"./Init/Core.html#Sigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : Sigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"Sigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L142-L142","name":"Sigma.fst","line":142,"kind":"def","docLink":"./Init/Core.html#Sigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"Sigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L136-L144","name":"Sigma","line":136,"kind":"structure","docLink":"./Init/Core.html#Sigma","doc":"`Sigma β`, also denoted `Σ a : α, β a` or `(a : α) × β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt is sometimes known as the dependent sum type, since it is the type level version\nof an indexed summation.\n"},"ShiftRight.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1362-L1362","name":"ShiftRight.shiftRight","line":1362,"kind":"def","docLink":"./Init/Prelude.html#ShiftRight.shiftRight","doc":"The implementation of `a >>> b : α`. See `HShiftRight`. "},"ShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1360-L1360","name":"ShiftRight.mk","line":1360,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftRight.mk","doc":""},"ShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1360-L1362","name":"ShiftRight","line":1360,"kind":"class","docLink":"./Init/Prelude.html#ShiftRight","doc":"The homogeneous version of `HShiftRight`: `a >>> b : α` where `a b : α`. "},"ShiftLeft.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1357-L1357","name":"ShiftLeft.shiftLeft","line":1357,"kind":"def","docLink":"./Init/Prelude.html#ShiftLeft.shiftLeft","doc":"The implementation of `a <<< b : α`. See `HShiftLeft`. "},"ShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1355-L1355","name":"ShiftLeft.mk","line":1355,"kind":"ctor","docLink":"./Init/Prelude.html#ShiftLeft.mk","doc":""},"ShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1355-L1357","name":"ShiftLeft","line":1355,"kind":"class","docLink":"./Init/Prelude.html#ShiftLeft","doc":"The homogeneous version of `HShiftLeft`: `a <<< b : α` where `a b : α`. "},"ShareCommonT.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L97-L98","name":"ShareCommonT.withShareCommon","line":97,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.withShareCommon","doc":""},"ShareCommonT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L103-L103","name":"ShareCommonT.run","line":103,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT.run","doc":""},"ShareCommonT.monadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L100-L101","name":"ShareCommonT.monadShareCommon","line":100,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommonT.monadShareCommon","doc":""},"ShareCommonT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L94-L94","name":"ShareCommonT","line":94,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonT","doc":""},"ShareCommonM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L104-L104","name":"ShareCommonM.run","line":104,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM.run","doc":""},"ShareCommonM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L95-L95","name":"ShareCommonM","line":95,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommonM","doc":""},"ShareCommon.mkStateImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L77-L77","name":"ShareCommon.mkStateImpl","line":77,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.mkStateImpl","doc":""},"ShareCommon.instNonemptyStateFactory":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L35-L35","name":"ShareCommon.instNonemptyStateFactory","line":35,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyStateFactory","doc":""},"ShareCommon.instNonemptyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L75-L75","name":"ShareCommon.instNonemptyState","line":75,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instNonemptyState","doc":""},"ShareCommon.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L79-L79","name":"ShareCommon.instInhabitedState","line":79,"kind":"instance","docLink":"./Init/ShareCommon.html#ShareCommon.instInhabitedState","doc":""},"ShareCommon.StatePointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L73-L73","name":"ShareCommon.StatePointed","line":73,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StatePointed","doc":"Internally `State` is implemented as a pair `ObjectMap` and `ObjectSet` "},"ShareCommon.StateFactoryPointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L33-L33","name":"ShareCommon.StateFactoryPointed","line":33,"kind":"opaque","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryPointed","doc":""},"ShareCommon.StateFactoryImpl.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L31-L31","name":"ShareCommon.StateFactoryImpl.setInsert","line":31,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setInsert","doc":""},"ShareCommon.StateFactoryImpl.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L30-L30","name":"ShareCommon.StateFactoryImpl.setFind?","line":30,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.setFind?","doc":""},"ShareCommon.StateFactoryImpl.mkState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L27-L27","name":"ShareCommon.StateFactoryImpl.mkState","line":27,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mkState","doc":""},"ShareCommon.StateFactoryImpl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryImpl.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mk","doc":""},"ShareCommon.StateFactoryImpl.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L29-L29","name":"ShareCommon.StateFactoryImpl.mapInsert","line":29,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapInsert","doc":""},"ShareCommon.StateFactoryImpl.mapFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L28-L28","name":"ShareCommon.StateFactoryImpl.mapFind?","line":28,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.mapFind?","doc":""},"ShareCommon.StateFactoryImpl.Set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Set","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Set","doc":""},"ShareCommon.StateFactoryImpl.Map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L26-L26","name":"ShareCommon.StateFactoryImpl.Map","line":26,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl.Map","doc":""},"ShareCommon.StateFactoryImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L25-L31","name":"ShareCommon.StateFactoryImpl","line":25,"kind":"structure","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryImpl","doc":""},"ShareCommon.StateFactoryBuilder.setInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L51-L51","name":"ShareCommon.StateFactoryBuilder.setInsert","line":51,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setInsert","doc":""},"ShareCommon.StateFactoryBuilder.setFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L50-L50","name":"ShareCommon.StateFactoryBuilder.setFind?","line":50,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.setFind?","doc":""},"ShareCommon.StateFactoryBuilder.mkSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L49-L49","name":"ShareCommon.StateFactoryBuilder.mkSet","line":49,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkSet","doc":""},"ShareCommon.StateFactoryBuilder.mkMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L45-L45","name":"ShareCommon.StateFactoryBuilder.mkMap","line":45,"kind":"def","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mkMap","doc":""},"ShareCommon.StateFactoryBuilder.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L1-L1","name":"ShareCommon.StateFactoryBuilder.mk","line":1,"kind":"ctor","docLink":"./Init/ShareCommon.html#ShareCommon.StateFactoryBuilder.mk","doc":""},"ShareCommon.StateFactoryBuilder.mapInsert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L47-L47","nam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≈ y` is the distinguished equivalence relation of a setoid. "},"Setoid.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1081-L1081","name":"Setoid.mk","line":1081,"kind":"ctor","docLink":"./Init/Core.html#Setoid.mk","doc":""},"Setoid.iseqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1085-L1085","name":"Setoid.iseqv","line":1085,"kind":"def","docLink":"./Init/Core.html#Setoid.iseqv","doc":"The relation `x ≈ y` is an equivalence relation. "},"Setoid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1081-L1085","name":"Setoid","line":1081,"kind":"class","docLink":"./Init/Core.html#Setoid","doc":"A setoid is a type with a distinguished equivalence relation, denoted `≈`.\nThis is mainly used as input to the `Quotient` type constructor.\n"},"SeqRight.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2716-L2716","name":"SeqRight.seqRight","line":2716,"kind":"def","docLink":"./Init/Prelude.html#SeqRight.seqRight","doc":"If `x : F α` and `y : F β`, then `x *> y` evaluates `x`, then `y`,\nand returns the result of `y`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2710-L2710","name":"SeqRight.mk","line":2710,"kind":"ctor","docLink":"./Init/Prelude.html#SeqRight.mk","doc":""},"SeqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2710-L2716","name":"SeqRight","line":2710,"kind":"class","docLink":"./Init/Prelude.html#SeqRight","doc":"The typeclass which supplies the `*>` \"seqRight\" function. See `Applicative`. "},"SeqLeft.seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2707-L2707","name":"SeqLeft.seqLeft","line":2707,"kind":"def","docLink":"./Init/Prelude.html#SeqLeft.seqLeft","doc":"If `x : F α` and `y : F β`, then `x <* y` evaluates `x`, then `y`,\nand returns the result of `x`.\n\nTo avoid surprising evaluation semantics, `y` is taken \"lazily\", using a\n`Unit → f β` function. "},"SeqLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2701-L2701","name":"SeqLeft.mk","line":2701,"kind":"ctor","docLink":"./Init/Prelude.html#SeqLeft.mk","doc":""},"SeqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2701-L2707","name":"SeqLeft","line":2701,"kind":"class","docLink":"./Init/Prelude.html#SeqLeft","doc":"The typeclass which supplies the `<*` \"seqLeft\" function. See `Applicative`. "},"Seq.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2698-L2698","name":"Seq.seq","line":2698,"kind":"def","docLink":"./Init/Prelude.html#Seq.seq","doc":"If `mf : F (α → β)` and `mx : F α`, then `mf <*> mx : F β`.\nIn a monad this is the same as `do let f ← mf; x ← mx; pure (f x)`:\nit evaluates first the function, then the argument, and applies one to the other.\n\nTo avoid surprising evaluation semantics, `mx` is taken \"lazily\", using a\n`Unit → f α` function. "},"Seq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2691-L2691","name":"Seq.mk","line":2691,"kind":"ctor","docLink":"./Init/Prelude.html#Seq.mk","doc":""},"Seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2691-L2698","name":"Seq","line":2691,"kind":"class","docLink":"./Init/Prelude.html#Seq","doc":"The typeclass which supplies the `<*>` \"seq\" function. See `Applicative`. "},"STWorld.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L20-L20","name":"STWorld.mk","line":20,"kind":"ctor","docLink":"./Init/System/ST.html#STWorld.mk","doc":""},"STWorld":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L20-L20","name":"STWorld","line":20,"kind":"class","docLink":"./Init/System/ST.html#STWorld","doc":""},"ST.mkRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L102-L102","name":"ST.mkRef","line":102,"kind":"def","docLink":"./Init/System/ST.html#ST.mkRef","doc":""},"ST.instNonemptyRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L52-L53","name":"ST.instNonemptyRef","line":52,"kind":"instance","docLink":"./Init/System/ST.html#ST.instNonemptyRef","doc":""},"ST.RefPointed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/ST.lean#L46-L46","name":"ST.RefPointed","line":46,"kind":"opaque","docLink":"./Init/System/ST.html#ST.RefPointed","doc":"References 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"},"Repr.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L17-L17","name":"Repr.reprPrec","line":17,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.reprPrec","doc":""},"Repr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L16-L16","name":"Repr.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Repr.html#Repr.mk","doc":""},"Repr.addAppParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L46-L50","name":"Repr.addAppParen","line":46,"kind":"def","docLink":"./Init/Data/Repr.html#Repr.addAppParen","doc":""},"Repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L16-L17","name":"Repr","line":16,"kind":"class","docLink":"./Init/Data/Repr.html#Repr","doc":""},"ReaderT.tryFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L35-L36","name":"ReaderT.tryFinally","line":35,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.tryFinally","doc":""},"ReaderT.run_seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L206-L207","name":"ReaderT.run_seqRight","line":206,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqRight","doc":""},"ReaderT.run_seqLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L209-L210","name":"ReaderT.run_seqLeft","line":209,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seqLeft","doc":""},"ReaderT.run_seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L203-L204","name":"ReaderT.run_seq","line":203,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_seq","doc":""},"ReaderT.run_read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L201-L201","name":"ReaderT.run_read","line":201,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_read","doc":""},"ReaderT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L184-L184","name":"ReaderT.run_pure","line":184,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_pure","doc":""},"ReaderT.run_monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L198-L199","name":"ReaderT.run_monadMap","line":198,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadMap","doc":""},"ReaderT.run_monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L195-L196","name":"ReaderT.run_monadLift","line":195,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_monadLift","doc":""},"ReaderT.run_mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L189-L190","name":"ReaderT.run_mapConst","line":189,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_mapConst","doc":""},"ReaderT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L192-L193","name":"ReaderT.run_map","line":192,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_map","doc":""},"ReaderT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L186-L187","name":"ReaderT.run_bind","line":186,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.run_bind","doc":""},"ReaderT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2945-L2946","name":"ReaderT.run","line":2945,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.run","doc":"If `x : ReaderT ρ m α` and `r : ρ`, then `x.run r : ρ` runs the monad with the\ngiven reader state.\n"},"ReaderT.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2968-L2969","name":"ReaderT.read","line":2968,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.read","doc":"`(← read) : ρ` gets the read-only state of a `ReaderT ρ`. "},"ReaderT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2973-L2974","name":"ReaderT.pure","line":2973,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.pure","doc":"The `pure` operation of the `ReaderT` monad. "},"ReaderT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L16-L17","name":"ReaderT.orElse","line":16,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.orElse","doc":""},"ReaderT.instMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2993-L2994","name":"ReaderT.instMonadReaderT","line":2993,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadReaderT","doc":""},"ReaderT.instMonadLiftReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2953-L2954","name":"ReaderT.instMonadLiftReaderT","line":2953,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadLiftReaderT","doc":""},"ReaderT.instMonadFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2996-L2997","name":"ReaderT.instMonadFunctorReaderT","line":2996,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadFunctorReaderT","doc":""},"ReaderT.instMonadExceptOfReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2957-L2959","name":"ReaderT.instMonadExceptOfReaderT","line":2957,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instMonadExceptOfReaderT","doc":""},"ReaderT.instLawfulMonadReaderTInstMonadReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L225-L229","name":"ReaderT.instLawfulMonadReaderTInstMonadReaderT","line":225,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulMonadReaderTInstMonadReaderT","doc":""},"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L212-L215","name":"ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","line":212,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulFunctorReaderTInstFunctorReaderT","doc":""},"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L217-L223","name":"ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","line":217,"kind":"instance","docLink":"./Init/Control/Lawful.html#ReaderT.instLawfulApplicativeReaderTInstApplicativeReaderT","doc":""},"ReaderT.instFunctorReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2982-L2984","name":"ReaderT.instFunctorReaderT","line":2982,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instFunctorReaderT","doc":""},"ReaderT.instApplicativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2987-L2991","name":"ReaderT.instApplicativeReaderT","line":2987,"kind":"instance","docLink":"./Init/Prelude.html#ReaderT.instApplicativeReaderT","doc":""},"ReaderT.instAlternativeReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L23-L25","name":"ReaderT.instAlternativeReaderT","line":23,"kind":"instance","docLink":"./Init/Control/Reader.html#ReaderT.instAlternativeReaderT","doc":""},"ReaderT.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L20-L21","name":"ReaderT.failure","line":20,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderT.failure","doc":""},"ReaderT.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L180-L182","name":"ReaderT.ext","line":180,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ReaderT.ext","doc":""},"ReaderT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2978-L2979","name":"ReaderT.bind","line":2978,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.bind","doc":"The `bind` operation of the `ReaderT` monad. "},"ReaderT.adapt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3004-L3005","name":"ReaderT.adapt","line":3004,"kind":"def","docLink":"./Init/Prelude.html#ReaderT.adapt","doc":"`adapt (f : ρ' → ρ)` precomposes function `f` on the reader state of a\n`ReaderT ρ`, yielding a `ReaderT ρ'`.\n"},"ReaderT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2934-L2935","name":"ReaderT","line":2934,"kind":"def","docLink":"./Init/Prelude.html#ReaderT","doc":"An implementation of Haskell's [`ReaderT`]. This is a monad transformer which\nequips a monad with additional read-only state, of type `ρ`.\n\n [`ReaderT`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Reader.html#t:ReaderT\n"},"ReaderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Reader.lean#L38-L38","name":"ReaderM","line":38,"kind":"def","docLink":"./Init/Control/Reader.html#ReaderM","doc":""},"RandomGen.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L29-L29","name":"RandomGen.split","line":29,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.split","doc":"The 'split' operation allows one to obtain two distinct random number\ngenerators. This is very useful in functional programs (for example, when\npassing a random number generator down to recursive calls). "},"RandomGen.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L20-L20","name":"RandomGen.range","line":20,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.range","doc":"`range` returns the range of values returned by\nthe generator. "},"RandomGen.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L24-L24","name":"RandomGen.next","line":24,"kind":"def","docLink":"./Init/Data/Random.html#RandomGen.next","doc":"`next` operation returns a natural number that is uniformly distributed\n the range returned by `range` (including both end points),\nand a new generator. "},"RandomGen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L17-L17","name":"RandomGen.mk","line":17,"kind":"ctor","docLink":"./Init/Data/Random.html#RandomGen.mk","doc":""},"RandomGen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L17-L29","name":"RandomGen","line":17,"kind":"class","docLink":"./Init/Data/Random.html#RandomGen","doc":"Interface for random number generators. "},"Quotient.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1344-L1345","name":"Quotient.sound","line":1344,"kind":"def","docLink":"./Init/Core.html#Quotient.sound","doc":"The analogue of `Quot.sound`: If `a` and `b` are related by the equivalence relation,\nthen they have equal equivalence classes.\n"},"Quotient.recOnSubsingleton₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1511-L1524","name":"Quotient.recOnSubsingleton₂","line":1511,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1401-L1406","name":"Quotient.recOnSubsingleton","line":1401,"kind":"def","docLink":"./Init/Core.html#Quotient.recOnSubsingleton","doc":"The analogue of `Quot.recOnSubsingleton` for `Quotient`. See `Quot.recOnSubsingleton`. "},"Quotient.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1392-L1397","name":"Quotient.recOn","line":1392,"kind":"def","docLink":"./Init/Core.html#Quotient.recOn","doc":"The analogue of `Quot.recOn` for `Quotient`. See `Quot.recOn`. "},"Quotient.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1383-L1388","name":"Quotient.rec","line":1383,"kind":"def","docLink":"./Init/Core.html#Quotient.rec","doc":"The analogue of `Quot.rec` for `Quotient`. See `Quot.rec`. "},"Quotient.mk'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1337-L1338","name":"Quotient.mk'","line":1337,"kind":"def","docLink":"./Init/Core.html#Quotient.mk'","doc":"The canonical quotient map into a `Quotient`.\n(This synthesizes the setoid by typeclass inference.)\n"},"Quotient.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1330-L1331","name":"Quotient.mk","line":1330,"kind":"def","docLink":"./Init/Core.html#Quotient.mk","doc":"The canonical quotient map into a `Quotient`. "},"Quotient.lift₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1424-L1432","name":"Quotient.lift₂","line":1424,"kind":"def","docLink":"./Init/Core.html#Quotient.lift₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1435-L1441","name":"Quotient.liftOn₂","line":1435,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn₂","doc":"Lift a binary function to a quotient on both arguments. "},"Quotient.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1362-L1363","name":"Quotient.liftOn","line":1362,"kind":"def","docLink":"./Init/Core.html#Quotient.liftOn","doc":"The analogue of `Quot.liftOn`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift (mk a) f h = f a`.\n"},"Quotient.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1351-L1352","name":"Quotient.lift","line":1351,"kind":"def","docLink":"./Init/Core.html#Quotient.lift","doc":"The analogue of `Quot.lift`: if `f : α → β` respects the equivalence relation `≈`,\nthen it lifts to a function on `Quotient s` such that `lift f h (mk a) = f a`.\n"},"Quotient.ind₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1444-L1452","name":"Quotient.ind₂","line":1444,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind₂","doc":""},"Quotient.inductionOn₃":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1466-L1477","name":"Quotient.inductionOn₃","line":1466,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₃","doc":""},"Quotient.inductionOn₂":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1455-L1463","name":"Quotient.inductionOn₂","line":1455,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn₂","doc":""},"Quotient.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1367-L1371","name":"Quotient.inductionOn","line":1367,"kind":"theorem","docLink":"./Init/Core.html#Quotient.inductionOn","doc":"The analogue of `Quot.inductionOn`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.ind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1355-L1356","name":"Quotient.ind","line":1355,"kind":"theorem","docLink":"./Init/Core.html#Quotient.ind","doc":"The analogue of `Quot.ind`: every element of `Quotient s` is of the form `Quotient.mk s a`. "},"Quotient.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1410-L1415","name":"Quotient.hrecOn","line":1410,"kind":"def","docLink":"./Init/Core.html#Quotient.hrecOn","doc":"The analogue of `Quot.hrecOn` for `Quotient`. See `Quot.hrecOn`. "},"Quotient.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1373-L1374","name":"Quotient.exists_rep","line":1373,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exists_rep","doc":""},"Quotient.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1499-L1500","name":"Quotient.exact","line":1499,"kind":"theorem","docLink":"./Init/Core.html#Quotient.exact","doc":""},"Quotient":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1323-L1324","name":"Quotient","line":1323,"kind":"def","docLink":"./Init/Core.html#Quotient","doc":"`Quotient α s` is the same as `Quot α r`, but it is specialized to a setoid `s`\n(that is, an equivalence relation) instead of an arbitrary relation.\nPrefer `Quotient` over `Quot` if your relation is actually an equivalence relation.\n"},"Quot.sound":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1209-L1209","name":"Quot.sound","line":1209,"kind":"axiom","docLink":"./Init/Core.html#Quot.sound","doc":"The **quotient axiom**, or at least the nontrivial part of the quotient\naxiomatization. Quotient types are introduced by the `init_quot` command\nin `Init.Prelude` which introduces the axioms:\n\n```\nopaque Quot {α : Sort u} (r : α → α → Prop) : Sort u\n\nopaque Quot.mk {α : Sort u} (r : α → α → Prop) (a : α) : Quot r\n\nopaque Quot.lift {α : Sort u} {r : α → α → Prop} {β : Sort v} (f : α → β) :\n (∀ a b : α, r a b → f a = f b) → Quot r → β\n\nopaque Quot.ind {α : Sort u} {r : α → α → Prop} {β : Quot r → Prop} :\n (∀ a : α, β (Quot.mk r a)) → ∀ q : Quot r, β q\n```\nAll of these axioms are true if we assume `Quot α r = α` and `Quot.mk` and\n`Quot.lift` are identity functions, so they do not add much. However this axiom\ncannot be explained in that way (it is false for that interpretation), so the\nreal power of quotient types come from this axiom.\n\nIt says that the quotient by `r` maps elements which are related by `r` to equal\nvalues in the quotient. Together with `Quot.lift` which says that functions\nwhich respect `r` can be lifted to functions on the quotient, we can deduce that\n`Quot α r` exactly consists of the equivalence classes with respect to `r`.\n\nIt is important to note that `r` need not be an equivalence relation in this axiom.\nWhen `r` is not an equivalence relation, we are actually taking a quotient with\nrespect to the equivalence relation generated by `r`.\n"},"Quot.recOnSubsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1291-L1298","name":"Quot.recOnSubsingleton","line":1291,"kind":"def","docLink":"./Init/Core.html#Quot.recOnSubsingleton","doc":"Dependent induction principle for a quotient, when the target type is a `Subsingleton`.\nIn this case the quotient's side condition is trivial so any function can be lifted.\n"},"Quot.recOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1280-L1285","name":"Quot.recOn","line":1280,"kind":"def","docLink":"./Init/Core.html#Quot.recOn","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.rec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1274-L1278","name":"Quot.rec","line":1274,"kind":"def","docLink":"./Init/Core.html#Quot.rec","doc":"Dependent recursion principle for `Quot`. This constructor can be tricky to use,\nso you should consider the simpler versions if they apply:\n* `Quot.lift`, for nondependent functions\n* `Quot.ind`, for theorems / proofs of propositions about quotients\n* `Quot.recOnSubsingleton`, when the target type is a `Subsingleton`\n* `Quot.hrecOn`, which uses `HEq (f a) (f b)` instead of a `sound p ▸ f a = f b` assummption\n"},"Quot.liftOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1228-L1230","name":"Quot.liftOn","line":1228,"kind":"def","docLink":"./Init/Core.html#Quot.liftOn","doc":"`Quot.liftOn q f h` is the same as `Quot.lift f h q`. It just reorders\nthe argument `q : Quot r` to be first.\n"},"Quot.liftIndepPr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1258-L1264","name":"Quot.liftIndepPr1","line":1258,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftIndepPr1","doc":""},"Quot.liftBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1211-L1216","name":"Quot.liftBeta","line":1211,"kind":"theorem","docLink":"./Init/Core.html#Quot.liftBeta","doc":""},"Quot.lcInv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L429-L429","name":"Quot.lcInv","line":429,"kind":"axiom","docLink":"./Init/Prelude.html#Quot.lcInv","doc":"Unsafe auxiliary constant used by the compiler to erase `Quot.lift`.\n"},"Quot.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1233-L1237","name":"Quot.inductionOn","line":1233,"kind":"theorem","docLink":"./Init/Core.html#Quot.inductionOn","doc":""},"Quot.indepCoherent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1252-L1256","name":"Quot.indepCoherent","line":1252,"kind":"theorem","docLink":"./Init/Core.html#Quot.indepCoherent","doc":""},"Quot.indep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1249-L1250","name":"Quot.indep","line":1249,"kind":"def","docLink":"./Init/Core.html#Quot.indep","doc":"Auxiliary definition for `Quot.rec`. "},"Quot.indBeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1218-L1222","name":"Quot.indBeta","line":1218,"kind":"theorem","docLink":"./Init/Core.html#Quot.indBeta","doc":""},"Quot.hrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1305-L1312","name":"Quot.hrecOn","line":1305,"kind":"def","docLink":"./Init/Core.html#Quot.hrecOn","doc":"Heterogeneous dependent recursion principle for a quotient.\nThis may be easier to work with since it uses `HEq` instead of\nan `Eq.ndrec` in the hypothesis.\n"},"Quot.exists_rep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1239-L1240","name":"Quot.exists_rep","line":1239,"kind":"theorem","docLink":"./Init/Core.html#Quot.exists_rep","doc":""},"Pure.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2670-L2670","name":"Pure.pure","line":2670,"kind":"def","docLink":"./Init/Prelude.html#Pure.pure","doc":"If `a : α`, then `pure a : f α` represents a monadic action that does\nnothing and returns `a`. "},"Pure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2667-L2667","name":"Pure.mk","line":2667,"kind":"ctor","docLink":"./Init/Prelude.html#Pure.mk","doc":""},"Pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2667-L2670","name":"Pure","line":2667,"kind":"class","docLink":"./Init/Prelude.html#Pure","doc":"The typeclass which supplies the `pure` function. See `Monad`. "},"Prod.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L470-L470","name":"Prod.snd","line":470,"kind":"def","docLink":"./Init/Prelude.html#Prod.snd","doc":"The second projection out of a pair. if `p : α × β` then `p.2 : β`. "},"Prod.rprod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L250-L255","name":"Prod.rprod","line":250,"kind":"def","docLink":"./Init/WF.html#Prod.rprod","doc":""},"Prod.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L92-L93","name":"Prod.repr","line":92,"kind":"def","docLink":"./Init/Data/Repr.html#Prod.repr","doc":""},"Prod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L466-L466","name":"Prod.mk","line":466,"kind":"ctor","docLink":"./Init/Prelude.html#Prod.mk","doc":""},"Prod.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1043-L1045","name":"Prod.map","line":1043,"kind":"def","docLink":"./Init/Core.html#Prod.map","doc":"`Prod.map f g : α₁ × β₁ → α₂ × β₂` maps across a pair\nby applying `f` to the first component and `g` to the second.\n"},"Prod.lexLt_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1034-L1035","name":"Prod.lexLt_def","line":1034,"kind":"theorem","docLink":"./Init/Core.html#Prod.lexLt_def","doc":""},"Prod.lexLtDec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1028-L1032","name":"Prod.lexLtDec","line":1028,"kind":"instance","docLink":"./Init/Core.html#Prod.lexLtDec","doc":""},"Prod.lexLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1025-L1026","name":"Prod.lexLt","line":1025,"kind":"def","docLink":"./Init/Core.html#Prod.lexLt","doc":"Lexicographical order for products "},"Prod.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L225-L234","name":"Prod.lexAccessible","line":225,"kind":"def","docLink":"./Init/WF.html#Prod.lexAccessible","doc":""},"Prod.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L237-L239","name":"Prod.lex","line":237,"kind":"def","docLink":"./Init/WF.html#Prod.lex","doc":""},"Prod.instWellFoundedRelationProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L241-L242","name":"Prod.instWellFoundedRelationProd","line":241,"kind":"instance","docLink":"./Init/WF.html#Prod.instWellFoundedRelationProd","doc":""},"Prod.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L468-L468","name":"Prod.fst","line":468,"kind":"def","docLink":"./Init/Prelude.html#Prod.fst","doc":"The first projection out of a pair. if `p : α × β` then `p.1 : α`. "},"Prod.foldI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L776-L777","name":"Prod.foldI","line":776,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.foldI","doc":"`(start, stop).foldI f a` evaluates `f` on all the numbers\nfrom `start` (inclusive) to `stop` (exclusive) in increasing order:\n* `(5, 8).foldI f init = init |> f 5 |> f 6 |> f 7`\n"},"Prod.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1037-L1037","name":"Prod.eta","line":1037,"kind":"theorem","docLink":"./Init/Core.html#Prod.eta","doc":""},"Prod.anyI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L784-L785","name":"Prod.anyI","line":784,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.anyI","doc":"`(start, stop).anyI f a` returns true if `f` is true for some natural number\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 || f 6 || f 7`\n"},"Prod.allI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L792-L793","name":"Prod.allI","line":792,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Prod.allI","doc":"`(start, stop).allI f a` returns true if `f` is true for all natural numbers\nfrom `start` (inclusive) to `stop` (exclusive):\n* `(5, 8).anyI f = f 5 && f 6 && f 7`\n"},"Prod.RProdSubLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L245-L247","name":"Prod.RProdSubLex","line":245,"kind":"def","docLink":"./Init/WF.html#Prod.RProdSubLex","doc":""},"Prod.RProd.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L217-L217","name":"Prod.RProd.intro","line":217,"kind":"ctor","docLink":"./Init/WF.html#Prod.RProd.intro","doc":""},"Prod.RProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L216-L217","name":"Prod.RProd","line":216,"kind":"inductive","docLink":"./Init/WF.html#Prod.RProd","doc":""},"Prod.Lex.right'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L210-L213","name":"Prod.Lex.right'","line":210,"kind":"def","docLink":"./Init/WF.html#Prod.Lex.right'","doc":""},"Prod.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L207-L207","name":"Prod.Lex.right","line":207,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.right","doc":""},"Prod.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L206-L206","name":"Prod.Lex.left","line":206,"kind":"ctor","docLink":"./Init/WF.html#Prod.Lex.left","doc":""},"Prod.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L205-L207","name":"Prod.Lex","line":205,"kind":"inductive","docLink":"./Init/WF.html#Prod.Lex","doc":""},"Prod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L466-L470","name":"Prod","line":466,"kind":"structure","docLink":"./Init/Prelude.html#Prod","doc":"Product type (aka pair). You can use `α × β` as notation for `Prod α β`.\nGiven `a : α` and `b : β`, `Prod.mk a b : Prod α β`. You can use `(a, b)`\nas notation for `Prod.mk a b`. Moreover, `(a, b, c)` is notation for\n`Prod.mk a (Prod.mk b c)`.\nGiven `p : Prod α β`, `p.1 : α` and `p.2 : β`. They are short for `Prod.fst p`\nand `Prod.snd p` respectively. You can also write `p.fst` and `p.snd`.\nFor more information: [Constructors with Arguments](https://leanprover.github.io/theorem_proving_in_lean4/inductive_types.html?highlight=Prod#constructors-with-arguments)\n"},"Pow.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1303-L1303","name":"Pow.pow","line":1303,"kind":"def","docLink":"./Init/Prelude.html#Pow.pow","doc":"`a ^ b` computes `a` to the power of `b`. See `HPow`. "},"Pow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1301-L1301","name":"Pow.mk","line":1301,"kind":"ctor","docLink":"./Init/Prelude.html#Pow.mk","doc":""},"Pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1301-L1303","name":"Pow","line":1301,"kind":"class","docLink":"./Init/Prelude.html#Pow","doc":"The homogeneous version of `HPow`: `a ^ b : α` where `a : α`, `b : β`.\n(The right argument is not the same as the left since we often want this even\nin the homogeneous case.)\n"},"Parser.Attr.TypedUserSemantics.regionDom":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L442-L442","name":"Parser.Attr.TypedUserSemantics.regionDom","line":442,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionDom","doc":""},"Parser.Attr.TypedUserSemantics.regionCod":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L443-L443","name":"Parser.Attr.TypedUserSemantics.regionCod","line":443,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.regionCod","doc":""},"Parser.Attr.TypedUserSemantics.outUserType":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L441-L441","name":"Parser.Attr.TypedUserSemantics.outUserType","line":441,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.outUserType","doc":""},"Parser.Attr.TypedUserSemantics.eval":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L439-L439","name":"Parser.Attr.TypedUserSemantics.eval","line":439,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.eval","doc":""},"Parser.Attr.TypedUserSemantics.argUserType":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L440-L440","name":"Parser.Attr.TypedUserSemantics.argUserType","line":440,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.TypedUserSemantics.argUserType","doc":""},"Parser.Attr.Option.bind":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L438-L438","name":"Parser.Attr.Option.bind","line":438,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Option.bind","doc":""},"Parser.Attr.Bind.bind":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L437-L437","name":"Parser.Attr.Bind.bind","line":437,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Parser.Attr.Bind.bind","doc":""},"PUnit.unit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L110-L111","name":"PUnit.unit","line":110,"kind":"ctor","docLink":"./Init/Prelude.html#PUnit.unit","doc":"`PUnit.unit : PUnit` is the canonical element of the unit type. "},"PUnit.subsingleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1060-L1061","name":"PUnit.subsingleton","line":1060,"kind":"theorem","docLink":"./Init/Core.html#PUnit.subsingleton","doc":""},"PUnit.eq_punit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1063-L1064","name":"PUnit.eq_punit","line":1063,"kind":"theorem","docLink":"./Init/Core.html#PUnit.eq_punit","doc":""},"PUnit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L109-L111","name":"PUnit","line":109,"kind":"inductive","docLink":"./Init/Prelude.html#PUnit","doc":"The unit type, the canonical type with one element, named `unit` or `()`.\nThis is the universe-polymorphic version of `Unit`; it is preferred to use\n`Unit` instead where applicable.\nFor more information about universe levels: [Types as objects](https://leanprover.github.io/theorem_proving_in_lean4/dependent_type_theory.html#types-as-objects)\n"},"PSum.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L124-L125","name":"PSum.inr","line":124,"kind":"ctor","docLink":"./Init/Core.html#PSum.inr","doc":"Right injection into the sum type `α ⊕' β`. If `b : β` then `.inr b : α ⊕' β`. "},"PSum.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L122-L123","name":"PSum.inl","line":122,"kind":"ctor","docLink":"./Init/Core.html#PSum.inl","doc":"Left injection into the sum type `α ⊕' β`. If `a : α` then `.inl a : α ⊕' β`. "},"PSum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L121-L125","name":"PSum","line":121,"kind":"inductive","docLink":"./Init/Core.html#PSum","doc":"`PSum α β`, or `α ⊕' β`, is the disjoint union of types `α` and `β`.\nIt differs from `α ⊕ β` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `True ⊕' Nat`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSum` is usually only used in automation that constructs sums of arbitrary types.\n"},"PSigma.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L169-L169","name":"PSigma.snd","line":169,"kind":"def","docLink":"./Init/Core.html#PSigma.snd","doc":"The second component of a dependent pair. If `p : Sigma β` then `p.2 : β p.1`. "},"PSigma.skipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L342-L344","name":"PSigma.skipLeft","line":342,"kind":"def","docLink":"./Init/WF.html#PSigma.skipLeft","doc":""},"PSigma.revLexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L322-L332","name":"PSigma.revLexAccessible","line":322,"kind":"def","docLink":"./Init/WF.html#PSigma.revLexAccessible","doc":""},"PSigma.revLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L334-L335","name":"PSigma.revLex","line":334,"kind":"def","docLink":"./Init/WF.html#PSigma.revLex","doc":""},"PSigma.mkSkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L346-L347","name":"PSigma.mkSkipLeft","line":346,"kind":"def","docLink":"./Init/WF.html#PSigma.mkSkipLeft","doc":""},"PSigma.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L165-L165","name":"PSigma.mk","line":165,"kind":"ctor","docLink":"./Init/Core.html#PSigma.mk","doc":"Constructor for a dependent pair. If `a : α` and `b : β a` then `⟨a, b⟩ : PSigma β`.\n(This will usually require a type ascription to determine `β`\nsince it is not determined from `a` and `b` alone.) "},"PSigma.lexNdepWf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L304-L305","name":"PSigma.lexNdepWf","line":304,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdepWf","doc":""},"PSigma.lexNdep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L301-L302","name":"PSigma.lexNdep","line":301,"kind":"def","docLink":"./Init/WF.html#PSigma.lexNdep","doc":""},"PSigma.lexAccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L277-L286","name":"PSigma.lexAccessible","line":277,"kind":"def","docLink":"./Init/WF.html#PSigma.lexAccessible","doc":""},"PSigma.lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L289-L291","name":"PSigma.lex","line":289,"kind":"def","docLink":"./Init/WF.html#PSigma.lex","doc":""},"PSigma.instWellFoundedRelationPSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L293-L294","name":"PSigma.instWellFoundedRelationPSigma","line":293,"kind":"instance","docLink":"./Init/WF.html#PSigma.instWellFoundedRelationPSigma","doc":""},"PSigma.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L167-L167","name":"PSigma.fst","line":167,"kind":"def","docLink":"./Init/Core.html#PSigma.fst","doc":"The first component of a dependent pair. If `p : @Sigma α β` then `p.1 : α`. "},"PSigma.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1052-L1056","name":"PSigma.eta","line":1052,"kind":"theorem","docLink":"./Init/Core.html#PSigma.eta","doc":""},"PSigma.SkipLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L339-L340","name":"PSigma.SkipLeft","line":339,"kind":"def","docLink":"./Init/WF.html#PSigma.SkipLeft","doc":""},"PSigma.RevLex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L314-L314","name":"PSigma.RevLex.right","line":314,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.right","doc":""},"PSigma.RevLex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L313-L313","name":"PSigma.RevLex.left","line":313,"kind":"ctor","docLink":"./Init/WF.html#PSigma.RevLex.left","doc":""},"PSigma.RevLex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L312-L314","name":"PSigma.RevLex","line":312,"kind":"inductive","docLink":"./Init/WF.html#PSigma.RevLex","doc":""},"PSigma.Lex.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L270-L270","name":"PSigma.Lex.right","line":270,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.right","doc":""},"PSigma.Lex.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L269-L269","name":"PSigma.Lex.left","line":269,"kind":"ctor","docLink":"./Init/WF.html#PSigma.Lex.left","doc":""},"PSigma.Lex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L268-L270","name":"PSigma.Lex","line":268,"kind":"inductive","docLink":"./Init/WF.html#PSigma.Lex","doc":""},"PSigma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L161-L169","name":"PSigma","line":161,"kind":"structure","docLink":"./Init/Core.html#PSigma","doc":"`PSigma β`, also denoted `Σ' a : α, β a` or `(a : α) ×' β a`, is the type of dependent pairs\nwhose first component is `a : α` and whose second component is `b : β a`\n(so the type of the second component can depend on the value of the first component).\nIt differs from `Σ a : α, β a` in that it allows `α` and `β` to have arbitrary sorts\n`Sort u` and `Sort v`, instead of restricting to `Type u` and `Type v`. This means\nthat it can be used in situations where one side is a proposition, like `(p : Nat) ×' p = p`.\n\nThe reason this is not the default is that this type lives in the universe `Sort (max 1 u v)`,\nwhich can cause problems for universe level unification,\nbecause the equation `max 1 u v = ?u + 1` has no solution in level arithmetic.\n`PSigma` is usually only used in automation that constructs pairs of arbitrary types.\n"},"PProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L482-L482","name":"PProd.snd","line":482,"kind":"def","docLink":"./Init/Prelude.html#PProd.snd","doc":"The second projection out of a pair. if `p : PProd α β` then `p.2 : β`. "},"PProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L478-L478","name":"PProd.mk","line":478,"kind":"ctor","docLink":"./Init/Prelude.html#PProd.mk","doc":""},"PProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L480-L480","name":"PProd.fst","line":480,"kind":"def","docLink":"./Init/Prelude.html#PProd.fst","doc":"The first projection out of a pair. if `p : PProd α β` then `p.1 : α`. "},"PProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L478-L482","name":"PProd","line":478,"kind":"structure","docLink":"./Init/Prelude.html#PProd","doc":"Similar to `Prod`, but `α` and `β` can be propositions.\nWe use this type internally to automatically generate the `brecOn` recursor.\n"},"PNonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L454-L455","name":"PNonScalar.mk","line":454,"kind":"ctor","docLink":"./Init/Core.html#PNonScalar.mk","doc":"You should not use this function "},"PNonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L453-L455","name":"PNonScalar","line":453,"kind":"inductive","docLink":"./Init/Core.html#PNonScalar","doc":"`PNonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n\nThis is the universe-polymorphic version of `PNonScalar`; it is preferred to use\n`NonScalar` instead where applicable.\n"},"PLift.up_down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L757-L757","name":"PLift.up_down","line":757,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.up_down","doc":"Bijection between `α` and `PLift α` "},"PLift.up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L753-L753","name":"PLift.up","line":753,"kind":"ctor","docLink":"./Init/Prelude.html#PLift.up","doc":"Lift a value into `PLift α` "},"PLift.down_up":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L760-L760","name":"PLift.down_up","line":760,"kind":"theorem","docLink":"./Init/Prelude.html#PLift.down_up","doc":"Bijection between `α` and `PLift α` "},"PLift.down":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L754-L754","name":"PLift.down","line":754,"kind":"def","docLink":"./Init/Prelude.html#PLift.down","doc":"Extract a value from `PLift α` "},"PLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L752-L754","name":"PLift","line":752,"kind":"structure","docLink":"./Init/Prelude.html#PLift","doc":"Universe lifting operation from `Sort u` to `Type u`. "},"PEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L202-L202","name":"PEmpty","line":202,"kind":"inductive","docLink":"./Init/Prelude.html#PEmpty","doc":"The universe-polymorphic empty type. Prefer `Empty` or `False` where\npossible.\n"},"Ordering.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.lt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.lt","doc":""},"Ordering.isLE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L74-L77","name":"Ordering.isLE","line":74,"kind":"def","docLink":"./Init/Data/Ord.html#Ordering.isLE","doc":""},"Ordering.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.gt","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.gt","doc":""},"Ordering.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L12-L12","name":"Ordering.eq","line":12,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ordering.eq","doc":""},"Ordering":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L11-L13","name":"Ordering","line":11,"kind":"inductive","docLink":"./Init/Data/Ord.html#Ordering","doc":""},"Ord.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L16-L16","name":"Ord.mk","line":16,"kind":"ctor","docLink":"./Init/Data/Ord.html#Ord.mk","doc":""},"Ord.compare":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L17-L17","name":"Ord.compare","line":17,"kind":"def","docLink":"./Init/Data/Ord.html#Ord.compare","doc":""},"Ord":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Ord.lean#L16-L17","name":"Ord","line":16,"kind":"class","docLink":"./Init/Data/Ord.html#Ord","doc":""},"OrOp.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1347-L1347","name":"OrOp.or","line":1347,"kind":"def","docLink":"./Init/Prelude.html#OrOp.or","doc":"The implementation of `a ||| b : α`. See `HOr`. "},"OrOp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1345-L1345","name":"OrOp.mk","line":1345,"kind":"ctor","docLink":"./Init/Prelude.html#OrOp.mk","doc":""},"OrOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1345-L1347","name":"OrOp","line":1345,"kind":"class","docLink":"./Init/Prelude.html#OrOp","doc":"The homogeneous version of `HOr`: `a ||| b : α` where `a b : α`.\n(It is called `OrOp` because `Or` is taken for the propositional connective.)\n"},"OrElse.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1317-L1317","name":"OrElse.orElse","line":1317,"kind":"def","docLink":"./Init/Prelude.html#OrElse.orElse","doc":"The implementation of `a <|> b : α`. See `HOrElse`. "},"OrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1315-L1315","name":"OrElse.mk","line":1315,"kind":"ctor","docLink":"./Init/Prelude.html#OrElse.mk","doc":""},"OrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1315-L1317","name":"OrElse","line":1315,"kind":"class","docLink":"./Init/Prelude.html#OrElse","doc":"The homogeneous version of `HOrElse`: `a <|> b : α` where `a b : α`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → α` to the\nimplementation so it can decide when to evaluate it.\n"},"Or.intro_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L526-L527","name":"Or.intro_right","line":526,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_right","doc":"Alias for `Or.inr`. "},"Or.intro_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L522-L523","name":"Or.intro_left","line":522,"kind":"theorem","docLink":"./Init/Prelude.html#Or.intro_left","doc":"Alias for `Or.inl`. "},"Or.inr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L518-L519","name":"Or.inr","line":518,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inr","doc":"`Or.inr` is \"right injection\" into an `Or`. If `h : b` then `Or.inr h : a ∨ b`. "},"Or.inl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L516-L517","name":"Or.inl","line":516,"kind":"ctor","docLink":"./Init/Prelude.html#Or.inl","doc":"`Or.inl` is \"left injection\" into an `Or`. If `h : a` then `Or.inl h : a ∨ b`. "},"Or.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L533-L536","name":"Or.elim","line":533,"kind":"theorem","docLink":"./Init/Prelude.html#Or.elim","doc":"Proof by cases on an `Or`. If `a ∨ b`, and both `a` and `b` imply\nproposition `c`, then `c` is true.\n"},"Or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L515-L519","name":"Or","line":515,"kind":"inductive","docLink":"./Init/Prelude.html#Or","doc":"`Or a b`, or `a ∨ b`, is the disjunction of propositions. There are two\nconstructors for `Or`, called `Or.inl : a → a ∨ b` and `Or.inr : b → a ∨ b`,\nand you can use `match` or `cases` to destruct an `Or` assumption into the\ntwo cases.\n"},"OptionT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L62-L64","name":"OptionT.tryCatch","line":62,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.tryCatch","doc":""},"OptionT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L19-L20","name":"OptionT.run","line":19,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.run","doc":""},"OptionT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L35-L36","name":"OptionT.pure","line":35,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.pure","doc":""},"OptionT.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L43-L46","name":"OptionT.orElse","line":43,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.orElse","doc":""},"OptionT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L25-L26","name":"OptionT.mk","line":25,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.mk","doc":""},"OptionT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L55-L56","name":"OptionT.lift","line":55,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.lift","doc":""},"OptionT.instMonadOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L39-L41","name":"OptionT.instMonadOptionT","line":39,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadOptionT","doc":""},"OptionT.instMonadLiftOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L58-L58","name":"OptionT.instMonadLiftOptionT","line":58,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadLiftOptionT","doc":""},"OptionT.instMonadFunctorOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L60-L60","name":"OptionT.instMonadFunctorOptionT","line":60,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadFunctorOptionT","doc":""},"OptionT.instMonadExceptOfUnitOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L66-L68","name":"OptionT.instMonadExceptOfUnitOptionT","line":66,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfUnitOptionT","doc":""},"OptionT.instMonadExceptOfOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L70-L72","name":"OptionT.instMonadExceptOfOptionT","line":70,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instMonadExceptOfOptionT","doc":""},"OptionT.instAlternativeOptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L51-L53","name":"OptionT.instAlternativeOptionT","line":51,"kind":"instance","docLink":"./Init/Control/Option.html#OptionT.instAlternativeOptionT","doc":""},"OptionT.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L48-L49","name":"OptionT.fail","line":48,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.fail","doc":""},"OptionT.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L29-L32","name":"OptionT.bind","line":29,"kind":"def","docLink":"./Init/Control/Option.html#OptionT.bind","doc":""},"OptionT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Option.lean#L15-L16","name":"OptionT","line":15,"kind":"def","docLink":"./Init/Control/Option.html#OptionT","doc":""},"Option.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L110-L113","name":"Option.tryCatch","line":110,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.tryCatch","doc":""},"Option.toMonad":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L13-L15","name":"Option.toMonad","line":13,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toMonad","doc":""},"Option.toLOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/LOption.lean#L24-L26","name":"Option.toLOption","line":24,"kind":"def","docLink":"./Lean/Data/LOption.html#Option.toLOption","doc":""},"Option.toBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L17-L19","name":"Option.toBool","line":17,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.toBool","doc":""},"Option.some_eq_pure":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/PeepholeRewrites.lean#L98-L98","name":"Option.some_eq_pure","line":98,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/PeepholeRewrites.html#Option.some_eq_pure","doc":""},"Option.some":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2142-L2143","name":"Option.some","line":2142,"kind":"ctor","docLink":"./Init/Prelude.html#Option.some","doc":"Some value of type `α`. "},"Option.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L67-L69","name":"Option.repr","line":67,"kind":"def","docLink":"./Init/Data/Repr.html#Option.repr","doc":""},"Option.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L58-L60","name":"Option.orElse","line":58,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.orElse","doc":""},"Option.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2140-L2141","name":"Option.none","line":2140,"kind":"ctor","docLink":"./Init/Prelude.html#Option.none","doc":"No value. "},"Option.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L78-L82","name":"Option.merge","line":78,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.merge","doc":"Take a pair of options and if they are both `some`, apply the given fn to produce an output.\nOtherwise act like `orElse`. "},"Option.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L43-L44","name":"Option.map_id","line":43,"kind":"theorem","docLink":"./Init/Data/Option/Basic.html#Option.map_id","doc":""},"Option.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L37-L41","name":"Option.mapM","line":37,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.mapM","doc":""},"Option.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2167-L2169","name":"Option.map","line":2167,"kind":"def","docLink":"./Init/Prelude.html#Option.map","doc":"Map a function over an `Option` by applying the function to the contained\nvalue if present.\n"},"Option.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L65-L68","name":"Option.lt","line":65,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.lt","doc":""},"Option.isSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L21-L23","name":"Option.isSome","line":21,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isSome","doc":""},"Option.isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L25-L27","name":"Option.isNone","line":25,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isNone","doc":""},"Option.isEqSome":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L29-L31","name":"Option.isEqSome","line":29,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.isEqSome","doc":""},"Option.instOrElseOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L62-L63","name":"Option.instOrElseOption","line":62,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instOrElseOption","doc":""},"Option.instDecidableRelOptionLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L70-L74","name":"Option.instDecidableRelOptionLt","line":70,"kind":"instance","docLink":"./Init/Data/Option/Basic.html#Option.instDecidableRelOptionLt","doc":""},"Option.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2159-L2161","name":"Option.getD","line":2159,"kind":"def","docLink":"./Init/Prelude.html#Option.getD","doc":"Get with default. If `opt : Option α` and `dflt : α`, then `opt.getD dflt`\nreturns `a` if `opt = some a` and `dflt` otherwise.\n\nThis function is `@[macro_inline]`, so `dflt` will not be evaluated unless\n`opt` turns out to be `none`.\n"},"Option.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/BasicAux.lean#L14-L16","name":"Option.get!","line":14,"kind":"def","docLink":"./Init/Data/Option/BasicAux.html#Option.get!","doc":""},"Option.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Instances.lean#L26-L28","name":"Option.format","line":26,"kind":"def","docLink":"./Init/Data/Format/Instances.html#Option.format","doc":""},"Option.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L46-L48","name":"Option.filter","line":46,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.filter","doc":""},"Option.eq_of_eq_some":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Instances.lean#L11-L15","name":"Option.eq_of_eq_some","line":11,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_of_eq_some","doc":""},"Option.eq_none_of_isNone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Instances.lean#L17-L18","name":"Option.eq_none_of_isNone","line":17,"kind":"theorem","docLink":"./Init/Data/Option/Instances.html#Option.eq_none_of_isNone","doc":""},"Option.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L33-L35","name":"Option.bind","line":33,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.bind","doc":""},"Option.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L54-L56","name":"Option.any","line":54,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.any","doc":""},"Option.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Option/Basic.lean#L50-L52","name":"Option.all","line":50,"kind":"def","docLink":"./Init/Data/Option/Basic.html#Option.all","doc":""},"Option":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2139-L2143","name":"Option","line":2139,"kind":"inductive","docLink":"./Init/Prelude.html#Option","doc":"`Option α` is the type of values which are either `some a` for some `a : α`,\nor `none`. In functional programming languages, this type is used to represent\nthe possibility of failure, or sometimes nullability.\n\nFor example, the function `HashMap.find? : HashMap α β → α → Option β` looks up\na specified key `a : α` inside the map. Because we do not know in advance\nwhether the key is actually in the map, the return type is `Option β`, where\n`none` means the value was not in the map, and `some b` means that the value\nwas found and `b` is the value retrieved.\n\nTo extract a value from an `Option α`, we use pattern matching:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n match x with\n | some a => some (f a)\n | none => none\n```\nWe can also use `if let` to pattern match on `Option` and get the value\nin the branch:\n```\ndef map (f : α → β) (x : Option α) : Option β :=\n if let some a := x then\n some (f a)\n else\n none\n```\n"},"Op.sub":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L88-L88","name":"Op.sub","line":88,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.sub","doc":""},"Op.map2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L89-L89","name":"Op.map2d","line":89,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.map2d","doc":""},"Op.fill2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L90-L90","name":"Op.fill2d","line":90,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.fill2d","doc":""},"Op.extract2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L91-L91","name":"Op.extract2d","line":91,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.extract2d","doc":""},"Op.constTensor":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constTensor","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constTensor","doc":""},"Op.constIx":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constIx","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constIx","doc":""},"Op.constInt":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L87-L87","name":"Op.constInt","line":87,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.constInt","doc":""},"Op.add":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L85-L85","name":"Op.add","line":85,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op.add","doc":""},"Op":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L84-L91","name":"Op","line":84,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Op","doc":""},"OfScientific.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L17-L17","name":"OfScientific.ofScientific","line":17,"kind":"def","docLink":"./Init/Data/OfScientific.html#OfScientific.ofScientific","doc":""},"OfScientific.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L16-L16","name":"OfScientific.mk","line":16,"kind":"ctor","docLink":"./Init/Data/OfScientific.html#OfScientific.mk","doc":""},"OfScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L16-L17","name":"OfScientific","line":16,"kind":"class","docLink":"./Init/Data/OfScientific.html#OfScientific","doc":"For decimal and scientific numbers (e.g., `1.23`, `3.12e10`).\nExamples:\n- `OfScientific.ofScientific 123 true 2` represents `1.23`\n- `OfScientific.ofScientific 121 false 100` represents `121e100`\n"},"OfNat.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1066-L1066","name":"OfNat.ofNat","line":1066,"kind":"def","docLink":"./Init/Prelude.html#OfNat.ofNat","doc":"The `OfNat.ofNat` function is automatically inserted by the parser when\nthe user writes a numeric literal like `1 : α`. Implementations of this\ntypeclass can therefore customize the behavior of `n : α` based on `n` and\n`α`. "},"OfNat.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1061-L1061","name":"OfNat.mk","line":1061,"kind":"ctor","docLink":"./Init/Prelude.html#OfNat.mk","doc":""},"OfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1061-L1066","name":"OfNat","line":1061,"kind":"class","docLink":"./Init/Prelude.html#OfNat","doc":"The class `OfNat α n` powers the numeric literal parser. If you write\n`37 : α`, lean will attempt to synthesize `OfNat α 37`, and will generate\nthe term `(OfNat.ofNat 37 : α)`.\n\nThere is a bit of infinite regress here since the desugaring apparently\nstill contains a literal `37` in it. The type of expressions contains a\nprimitive constructor for \"raw natural number literals\", which you can directly\naccess using the macro `nat_lit 37`. Raw number literals are always of type `Nat`.\nSo it would be more correct to say that lean looks for an instance of\n`OfNat α (nat_lit 37)`, and it generates the term `(OfNat.ofNat (nat_lit 37) : α)`.\n"},"Not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L211-L211","name":"Not","line":211,"kind":"def","docLink":"./Init/Prelude.html#Not","doc":"`Not p`, or `¬p`, is the negation of `p`. It is defined to be `p → False`,\nso if your goal is `¬p` you can use `intro h` to turn the goal into\n`h : p ⊢ False`, and if you have `hn : ¬p` and `h : p` then `hn h : False`\nand `(hn h).elim` will prove anything.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"NonemptyType.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L771-L772","name":"NonemptyType.type","line":771,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType.type","doc":"The underlying type of a `NonemptyType`. "},"NonemptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L768-L768","name":"NonemptyType","line":768,"kind":"def","docLink":"./Init/Prelude.html#NonemptyType","doc":"`NonemptyType.{u}` is the type of nonempty types in universe `u`.\nIt is mainly used in constant declarations where we wish to introduce a type\nand simultaneously assert that it is nonempty, but otherwise make the type\nopaque.\n"},"Nonempty.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L687-L688","name":"Nonempty.intro","line":687,"kind":"ctor","docLink":"./Init/Prelude.html#Nonempty.intro","doc":"If `val : α`, then `α` is nonempty. "},"Nonempty.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L720-L722","name":"Nonempty.elim","line":720,"kind":"def","docLink":"./Init/Prelude.html#Nonempty.elim","doc":"The elimination principle for `Nonempty α`. If `Nonempty α`, and we can\nprove `p` given any element `x : α`, then `p` holds. Note that it is essential\nthat `p` is a `Prop` here; the version with `p` being a `Sort u` is equivalent\nto `Classical.choice`.\n"},"Nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L686-L688","name":"Nonempty","line":686,"kind":"class","docLink":"./Init/Prelude.html#Nonempty","doc":"`Nonempty α` is a typeclass that says that `α` is not an empty type,\nthat is, there exists an element in the type. It differs from `Inhabited α`\nin that `Nonempty α` is a `Prop`, which means that it does not actually carry\nan element of `α`, only a proof that *there exists* such an element.\nGiven `Nonempty α`, you can construct an element of `α` *nonconstructively*\nusing `Classical.choice`.\n"},"NonScalar.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L442-L442","name":"NonScalar.val","line":442,"kind":"def","docLink":"./Init/Core.html#NonScalar.val","doc":"You should not use this function "},"NonScalar.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L441-L441","name":"NonScalar.mk","line":441,"kind":"ctor","docLink":"./Init/Core.html#NonScalar.mk","doc":"You should not use this function "},"NonScalar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L440-L442","name":"NonScalar","line":440,"kind":"structure","docLink":"./Init/Core.html#NonScalar","doc":"`NonScalar` is a type that is not a scalar value in our runtime.\nIt is used as a stand-in for an arbitrary boxed value to avoid excessive\nmonomorphization, and it is only created using `unsafeCast`. It is somewhat\nanalogous to C `void*` in usage, but the type itself is not special.\n"},"Neg.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1284-L1284","name":"Neg.neg","line":1284,"kind":"def","docLink":"./Init/Prelude.html#Neg.neg","doc":"`-a` computes the negative or opposite of `a`.\nThe meaning of this notation is type-dependent. "},"Neg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1281-L1281","name":"Neg.mk","line":1281,"kind":"ctor","docLink":"./Init/Prelude.html#Neg.mk","doc":""},"Neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1281-L1284","name":"Neg","line":1281,"kind":"class","docLink":"./Init/Prelude.html#Neg","doc":"The notation typeclass for negation.\nThis enables the notation `-a : α` where `a : α`.\n"},"Ne.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L575-L576","name":"Ne.symm","line":575,"kind":"theorem","docLink":"./Init/Core.html#Ne.symm","doc":""},"Ne.irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L573-L573","name":"Ne.irrefl","line":573,"kind":"theorem","docLink":"./Init/Core.html#Ne.irrefl","doc":""},"Ne.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L569-L569","name":"Ne.intro","line":569,"kind":"theorem","docLink":"./Init/Core.html#Ne.intro","doc":""},"Ne.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L571-L571","name":"Ne.elim","line":571,"kind":"theorem","docLink":"./Init/Core.html#Ne.elim","doc":""},"Ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L560-L561","name":"Ne","line":560,"kind":"def","docLink":"./Init/Core.html#Ne","doc":"`a ≠ b`, or `Ne a b` is defined as `¬ (a = b)` or `a = b → False`,\nand asserts that `a` and `b` are not equal.\n"},"Nat.zero_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L629-L632","name":"Nat.zero_sub","line":629,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_sub","doc":""},"Nat.zero_ne_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L429-L430","name":"Nat.zero_ne_one","line":429,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_ne_one","doc":""},"Nat.zero_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L165-L167","name":"Nat.zero_mul","line":165,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_mul","doc":""},"Nat.zero_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L147-L152","name":"Nat.zero_mod","line":147,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.zero_mod","doc":""},"Nat.zero_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1586-L1587","name":"Nat.zero_lt_succ","line":1586,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_lt_succ","doc":""},"Nat.zero_lt_sub_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L547-L555","name":"Nat.zero_lt_sub_of_lt","line":547,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_sub_of_lt","doc":""},"Nat.zero_lt_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L401-L402","name":"Nat.zero_lt_one","line":401,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_one","doc":""},"Nat.zero_lt_of_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L322-L325","name":"Nat.zero_lt_of_ne_zero","line":322,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_ne_zero","doc":""},"Nat.zero_lt_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L316-L320","name":"Nat.zero_lt_of_lt","line":316,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_lt_of_lt","doc":""},"Nat.zero_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1578-L1580","name":"Nat.zero_le","line":1578,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.zero_le","doc":""},"Nat.zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L83-L83","name":"Nat.zero_eq","line":83,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_eq","doc":""},"Nat.zero_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L114-L116","name":"Nat.zero_add","line":114,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.zero_add","doc":""},"Nat.zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1039-L1041","name":"Nat.zero","line":1039,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.zero","doc":"`Nat.zero`, normally written `0 : Nat`, is the smallest natural number.\nThis is one of the two constructors of `Nat`. "},"Nat.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L38-L38","name":"Nat.xor","line":38,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.xor","doc":""},"Nat.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L292-L292","name":"Nat.toUSize","line":292,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUSize","doc":""},"Nat.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L14-L14","name":"Nat.toUInt8","line":14,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt8","doc":""},"Nat.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L207-L207","name":"Nat.toUInt64","line":207,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt64","doc":""},"Nat.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L155-L155","name":"Nat.toUInt32","line":155,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt32","doc":""},"Nat.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/UInt/Basic.lean#L81-L81","name":"Nat.toUInt16","line":81,"kind":"def","docLink":"./Init/Data/UInt/Basic.html#Nat.toUInt16","doc":""},"Nat.toSuperscriptString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L162-L163","name":"Nat.toSuperscriptString","line":162,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperscriptString","doc":""},"Nat.toSuperDigitsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L152-L157","name":"Nat.toSuperDigitsAux","line":152,"kind":"opaque","docLink":"./Init/Data/Repr.html#Nat.toSuperDigitsAux","doc":""},"Nat.toSuperDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L159-L160","name":"Nat.toSuperDigits","line":159,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toSuperDigits","doc":""},"Nat.toLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L640-L641","name":"Nat.toLevel","line":640,"kind":"def","docLink":"./Lean/Level.html#Nat.toLevel","doc":""},"Nat.toFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L55-L56","name":"Nat.toFloat","line":55,"kind":"def","docLink":"./Init/Data/OfScientific.html#Nat.toFloat","doc":""},"Nat.toDigitsCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L125-L131","name":"Nat.toDigitsCore","line":125,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigitsCore","doc":""},"Nat.toDigits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L133-L134","name":"Nat.toDigits","line":133,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.toDigits","doc":""},"Nat.superDigitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L139-L150","name":"Nat.superDigitChar","line":139,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.superDigitChar","doc":""},"Nat.succ_sub_succ_eq_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L218-L221","name":"Nat.succ_sub_succ_eq_sub","line":218,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ_eq_sub","doc":""},"Nat.succ_sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L247-L248","name":"Nat.succ_sub_succ","line":247,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_sub_succ","doc":""},"Nat.succ_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L564-L567","name":"Nat.succ_pred","line":564,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_pred","doc":""},"Nat.succ_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1608-L1609","name":"Nat.succ_pos","line":1608,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_pos","doc":""},"Nat.succ_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L432-L433","name":"Nat.succ_ne_zero","line":432,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_ne_zero","doc":""},"Nat.succ_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L169-L172","name":"Nat.succ_mul","line":169,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_mul","doc":""},"Nat.succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L209-L210","name":"Nat.succ_lt_succ","line":209,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_lt_succ","doc":""},"Nat.succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1582-L1584","name":"Nat.succ_le_succ","line":1582,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.succ_le_succ","doc":""},"Nat.succ_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L313-L314","name":"Nat.succ_le_of_lt","line":313,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_le_of_lt","doc":""},"Nat.succ_eq_add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L128-L129","name":"Nat.succ_eq_add_one","line":128,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_eq_add_one","doc":""},"Nat.succ_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L118-L120","name":"Nat.succ_add","line":118,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.succ_add","doc":""},"Nat.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1042-L1044","name":"Nat.succ","line":1042,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.succ","doc":"The successor function on natural numbers, `succ n = n + 1`.\nThis is one of the two constructors of `Nat`. "},"Nat.sub_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L215-L216","name":"Nat.sub_zero","line":215,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_zero","doc":""},"Nat.sub_succ_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L557-L562","name":"Nat.sub_succ_lt_self","line":557,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ_lt_self","doc":""},"Nat.sub_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L244-L245","name":"Nat.sub_succ","line":244,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_succ","doc":""},"Nat.sub_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L706-L709","name":"Nat.sub_sub","line":706,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_sub","doc":""},"Nat.sub_self_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L634-L636","name":"Nat.sub_self_add","line":634,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self_add","doc":""},"Nat.sub_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L250-L252","name":"Nat.sub_self","line":250,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_self","doc":""},"Nat.sub_ne_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L569-L573","name":"Nat.sub_ne_zero_of_lt","line":569,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_ne_zero_of_lt","doc":""},"Nat.sub_lt_sub_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L623-L627","name":"Nat.sub_lt_sub_left","line":623,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt_sub_left","doc":""},"Nat.sub_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L236-L242","name":"Nat.sub_lt","line":236,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_lt","doc":""},"Nat.sub_le_succ_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L542-L545","name":"Nat.sub_le_succ_sub","line":542,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_succ_sub","doc":""},"Nat.sub_le_of_le_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L642-L651","name":"Nat.sub_le_of_le_add","line":642,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le_of_le_add","doc":""},"Nat.sub_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L231-L234","name":"Nat.sub_le","line":231,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_le","doc":""},"Nat.sub_eq_zero_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L638-L640","name":"Nat.sub_eq_zero_of_le","line":638,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_zero_of_le","doc":""},"Nat.sub_eq_of_eq_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L610-L611","name":"Nat.sub_eq_of_eq_add","line":610,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq_of_eq_add","doc":""},"Nat.sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L86-L86","name":"Nat.sub_eq","line":86,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_eq","doc":""},"Nat.sub_add_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L254-L257","name":"Nat.sub_add_eq","line":254,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_eq","doc":""},"Nat.sub_add_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L583-L584","name":"Nat.sub_add_cancel","line":583,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub_add_cancel","doc":""},"Nat.sub.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L689-L696","name":"Nat.sub.elim","line":689,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.sub.elim","doc":""},"Nat.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1716-L1718","name":"Nat.sub","line":1716,"kind":"def","docLink":"./Init/Prelude.html#Nat.sub","doc":"(Truncated) subtraction of natural numbers. Because natural numbers are not\nclosed under subtraction, we define `n - m` to be `0` when `n < m`.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.strongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L169-L173","name":"Nat.strongInductionOn","line":169,"kind":"theorem","docLink":"./Init/WF.html#Nat.strongInductionOn","doc":""},"Nat.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L44-L46","name":"Nat.shiftRight","line":44,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftRight","doc":""},"Nat.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L40-L42","name":"Nat.shiftLeft","line":40,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.shiftLeft","doc":""},"Nat.right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L189-L190","name":"Nat.right_distrib","line":189,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.right_distrib","doc":""},"Nat.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L136-L137","name":"Nat.repr","line":136,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.repr","doc":""},"Nat.repeat_eq_repeatTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L762-L764","name":"Nat.repeat_eq_repeatTR.go","line":762,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR.go","doc":""},"Nat.repeat_eq_repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L760-L765","name":"Nat.repeat_eq_repeatTR","line":760,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat_eq_repeatTR","doc":""},"Nat.repeatTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L70-L72","name":"Nat.repeatTR.loop","line":70,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR.loop","doc":""},"Nat.repeatTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L69-L73","name":"Nat.repeatTR","line":69,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeatTR","doc":"Tail-recursive version of `Nat.repeat`. "},"Nat.repeat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L64-L66","name":"Nat.repeat","line":64,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.repeat","doc":"`Nat.repeat f n a` is `f^(n) a`; that is, it iterates `f` `n` times on `a`.\n* `Nat.repeat f 3 a = f <| f <| f <| a`\n"},"Nat.pred_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L683-L684","name":"Nat.pred_zero","line":683,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_zero","doc":""},"Nat.pred_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L686-L687","name":"Nat.pred_succ","line":686,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_succ","doc":""},"Nat.pred_lt'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L527-L528","name":"Nat.pred_lt'","line":527,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt'","doc":""},"Nat.pred_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L227-L229","name":"Nat.pred_lt","line":227,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_lt","doc":""},"Nat.pred_le_pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1623-L1626","name":"Nat.pred_le_pred","line":1623,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.pred_le_pred","doc":""},"Nat.pred_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L223-L225","name":"Nat.pred_le","line":223,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pred_le","doc":""},"Nat.pred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1619-L1621","name":"Nat.pred","line":1619,"kind":"def","docLink":"./Init/Prelude.html#Nat.pred","doc":"The predecessor function on natural numbers.\n\nThis definition is overridden in the compiler to use `n - 1` instead.\nThe definition provided here is the logical model.\n"},"Nat.pow_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L476-L476","name":"Nat.pow_zero","line":476,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_zero","doc":""},"Nat.pow_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L473-L474","name":"Nat.pow_succ","line":473,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_succ","doc":""},"Nat.pow_le_pow_of_le_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L482-L492","name":"Nat.pow_le_pow_of_le_right","line":482,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_right","doc":""},"Nat.pow_le_pow_of_le_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L478-L480","name":"Nat.pow_le_pow_of_le_left","line":478,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pow_le_pow_of_le_left","doc":""},"Nat.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1479-L1481","name":"Nat.pow","line":1479,"kind":"def","docLink":"./Init/Prelude.html#Nat.pow","doc":"The power operation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.pos_pow_of_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L494-L495","name":"Nat.pos_pow_of_pos","line":494,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.pos_pow_of_pos","doc":""},"Nat.pos_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L36-L40","name":"Nat.pos_of_isPowerOfTwo","line":36,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.pos_of_isPowerOfTwo","doc":""},"Nat.one_ne_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L426-L427","name":"Nat.one_ne_zero","line":426,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_ne_zero","doc":""},"Nat.one_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L181-L182","name":"Nat.one_mul","line":181,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.one_mul","doc":""},"Nat.one_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L29-L30","name":"Nat.one_isPowerOfTwo","line":29,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.one_isPowerOfTwo","doc":""},"Nat.not_succ_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1571-L1573","name":"Nat.not_succ_le_zero","line":1571,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_zero","doc":""},"Nat.not_succ_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1655-L1657","name":"Nat.not_succ_le_self","line":1655,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_succ_le_self","doc":""},"Nat.not_lt_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1575-L1576","name":"Nat.not_lt_zero","line":1575,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_lt_zero","doc":""},"Nat.not_lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L727-L728","name":"Nat.not_lt_eq","line":727,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_lt_eq","doc":""},"Nat.not_le_of_not_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1693-L1694","name":"Nat.not_le_of_not_ble_eq_true","line":1693,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.not_le_of_not_ble_eq_true","doc":""},"Nat.not_le_of_gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L360-L365","name":"Nat.not_le_of_gt","line":360,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_of_gt","doc":""},"Nat.not_le_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L721-L722","name":"Nat.not_le_eq","line":721,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_le_eq","doc":""},"Nat.not_gt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L730-L731","name":"Nat.not_gt_eq","line":730,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_gt_eq","doc":""},"Nat.not_ge_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L724-L725","name":"Nat.not_ge_eq","line":724,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_ge_eq","doc":""},"Nat.not_eq_zero_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L522-L525","name":"Nat.not_eq_zero_of_lt","line":522,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_eq_zero_of_lt","doc":""},"Nat.not_beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L105-L110","name":"Nat.not_beq_eq_true_eq","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.not_beq_eq_true_eq","doc":""},"Nat.nextPowerOfTwo_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L11-L14","name":"Nat.nextPowerOfTwo_dec","line":11,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo_dec","doc":""},"Nat.nextPowerOfTwo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L19-L23","name":"Nat.nextPowerOfTwo.go","line":19,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo.go","doc":""},"Nat.nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L16-L25","name":"Nat.nextPowerOfTwo","line":16,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.nextPowerOfTwo","doc":""},"Nat.ne_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L329-L330","name":"Nat.ne_of_lt","line":329,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ne_of_lt","doc":""},"Nat.ne_of_beq_eq_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1513-L1519","name":"Nat.ne_of_beq_eq_false","line":1513,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ne_of_beq_eq_false","doc":""},"Nat.mul_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L159-L160","name":"Nat.mul_zero","line":159,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_zero","doc":""},"Nat.mul_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L162-L163","name":"Nat.mul_succ","line":162,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_succ","doc":""},"Nat.mul_sub_right_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L711-L714","name":"Nat.mul_sub_right_distrib","line":711,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_right_distrib","doc":""},"Nat.mul_sub_left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L716-L717","name":"Nat.mul_sub_left_distrib","line":716,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_sub_left_distrib","doc":""},"Nat.mul_pred_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L703-L704","name":"Nat.mul_pred_right","line":703,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_right","doc":""},"Nat.mul_pred_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L698-L701","name":"Nat.mul_pred_left","line":698,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pred_left","doc":""},"Nat.mul_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L455-L457","name":"Nat.mul_pos","line":455,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_pos","doc":""},"Nat.mul_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L178-L179","name":"Nat.mul_one","line":178,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_one","doc":""},"Nat.mul_lt_mul_of_pos_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L452-L453","name":"Nat.mul_lt_mul_of_pos_right","line":452,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_right","doc":""},"Nat.mul_lt_mul_of_pos_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L449-L450","name":"Nat.mul_lt_mul_of_pos_left","line":449,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_lt_mul_of_pos_left","doc":""},"Nat.mul_left_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L202-L203","name":"Nat.mul_left_comm","line":202,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_left_comm","doc":""},"Nat.mul_le_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L443-L444","name":"Nat.mul_le_mul_right","line":443,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_right","doc":""},"Nat.mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L437-L441","name":"Nat.mul_le_mul_left","line":437,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul_left","doc":""},"Nat.mul_le_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L446-L447","name":"Nat.mul_le_mul","line":446,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_le_mul","doc":""},"Nat.mul_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L85-L85","name":"Nat.mul_eq","line":85,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_eq","doc":""},"Nat.mul_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L174-L176","name":"Nat.mul_comm","line":174,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_comm","doc":""},"Nat.mul_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L198-L200","name":"Nat.mul_assoc","line":198,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_assoc","doc":""},"Nat.mul_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L192-L193","name":"Nat.mul_add","line":192,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.mul_add","doc":""},"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L32-L34","name":"Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","line":32,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.mul2_isPowerOfTwo_of_isPowerOfTwo","doc":""},"Nat.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1463-L1465","name":"Nat.mul","line":1463,"kind":"def","docLink":"./Init/Prelude.html#Nat.mul","doc":"Multiplication of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.mod_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L105-L109","name":"Nat.mod_zero","line":105,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_zero","doc":""},"Nat.mod_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L154-L155","name":"Nat.mod_self","line":154,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_self","doc":""},"Nat.mod_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L157-L164","name":"Nat.mod_one","line":157,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_one","doc":""},"Nat.mod_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L122-L138","name":"Nat.mod_lt","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_lt","doc":""},"Nat.mod_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L140-L145","name":"Nat.mod_le","line":140,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_le","doc":""},"Nat.mod_eq_sub_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L117-L120","name":"Nat.mod_eq_sub_mod","line":117,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_sub_mod","doc":""},"Nat.mod_eq_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L111-L115","name":"Nat.mod_eq_of_lt","line":111,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq_of_lt","doc":""},"Nat.mod_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L94-L95","name":"Nat.mod_eq","line":94,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod_eq","doc":""},"Nat.modCore_eq_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L87-L92","name":"Nat.modCore_eq_mod","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.modCore_eq_mod","doc":""},"Nat.modCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L68-L73","name":"Nat.modCore","line":68,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.modCore","doc":""},"Nat.mod.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L97-L103","name":"Nat.mod.inductionOn","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.mod.inductionOn","doc":""},"Nat.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L76-L83","name":"Nat.mod","line":76,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.mod","doc":""},"Nat.min_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L506-L506","name":"Nat.min_def","line":506,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.min_def","doc":""},"Nat.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L504-L504","name":"Nat.min","line":504,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.min","doc":"`Nat.min a b` is the minimum of `a` and `b`:\n* if `a ≤ b` then `Nat.min a b = a`\n* if `b ≤ a` then `Nat.min a b = b`\n"},"Nat.max_def":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L517-L517","name":"Nat.max_def","line":517,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.max_def","doc":""},"Nat.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L515-L515","name":"Nat.max","line":515,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.max","doc":"`Nat.max a b` is the maximum of `a` and `b`:\n* if `a ≤ b` then `Nat.max a b = b`\n* if `b ≤ a` then `Nat.max a b = a`\n"},"Nat.lt_wfRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L151-L167","name":"Nat.lt_wfRel","line":151,"kind":"def","docLink":"./Init/WF.html#Nat.lt_wfRel","doc":""},"Nat.lt_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1596-L1597","name":"Nat.lt_trans","line":1596,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_trans","doc":""},"Nat.lt_succ_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L294-L294","name":"Nat.lt_succ_self","line":294,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_self","doc":""},"Nat.lt_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L212-L213","name":"Nat.lt_succ_of_le","line":212,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_succ_of_le","doc":""},"Nat.lt_sub_of_add_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L679-L681","name":"Nat.lt_sub_of_add_lt","line":679,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_sub_of_add_lt","doc":""},"Nat.lt_or_ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1644-L1653","name":"Nat.lt_or_ge","line":1644,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_or_ge","doc":""},"Nat.lt_of_succ_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L307-L308","name":"Nat.lt_of_succ_lt_succ","line":307,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt_succ","doc":""},"Nat.lt_of_succ_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L304-L305","name":"Nat.lt_of_succ_lt","line":304,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_lt","doc":""},"Nat.lt_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L310-L311","name":"Nat.lt_of_succ_le","line":310,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_succ_le","doc":""},"Nat.lt_of_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L259-L260","name":"Nat.lt_of_lt_of_le","line":259,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_le","doc":""},"Nat.lt_of_lt_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L262-L263","name":"Nat.lt_of_lt_of_eq","line":262,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_of_lt_of_eq","doc":""},"Nat.lt_of_le_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1670-L1673","name":"Nat.lt_of_le_of_ne","line":1670,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_ne","doc":""},"Nat.lt_of_le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1662-L1663","name":"Nat.lt_of_le_of_lt","line":1662,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_of_le_of_lt","doc":""},"Nat.lt_irrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1659-L1660","name":"Nat.lt_irrefl","line":1659,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.lt_irrefl","doc":""},"Nat.lt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L87-L87","name":"Nat.lt_eq","line":87,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt_eq","doc":""},"Nat.lt.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L286-L286","name":"Nat.lt.step","line":286,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.step","doc":""},"Nat.lt.base":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L292-L292","name":"Nat.lt.base","line":292,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.lt.base","doc":""},"Nat.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1565-L1566","name":"Nat.lt","line":1565,"kind":"def","docLink":"./Init/Prelude.html#Nat.lt","doc":"The strict less than relation on natural numbers is defined as `n < m := n + 1 ≤ m`. "},"Nat.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L36-L36","name":"Nat.lor","line":36,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.lor","doc":""},"Nat.log2_terminates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Log2.lean#L12-L19","name":"Nat.log2_terminates","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_terminates","doc":""},"Nat.log2_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Log2.lean#L31-L37","name":"Nat.log2_le_self","line":31,"kind":"theorem","docLink":"./Init/Data/Nat/Log2.html#Nat.log2_le_self","doc":""},"Nat.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Log2.lean#L27-L29","name":"Nat.log2","line":27,"kind":"def","docLink":"./Init/Data/Nat/Log2.html#Nat.log2","doc":"Computes `⌊max 0 (log₂ n)⌋`.\n\n`log2 0 = log2 1 = 0`, `log2 2 = 1`, ..., `log2 (2^i) = i`, etc.\n"},"Nat.left_distrib":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L184-L187","name":"Nat.left_distrib","line":184,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.left_distrib","doc":""},"Nat.le_zero_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L154-L155","name":"Nat.le_zero_eq","line":154,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Nat.le_zero_eq","doc":""},"Nat.le_trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1592-L1594","name":"Nat.le_trans","line":1592,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_trans","doc":""},"Nat.le_total":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L296-L299","name":"Nat.le_total","line":296,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_total","doc":""},"Nat.le_succ_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1602-L1603","name":"Nat.le_succ_of_le","line":1602,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ_of_le","doc":""},"Nat.le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1599-L1600","name":"Nat.le_succ","line":1599,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_succ","doc":""},"Nat.le_sub_of_add_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L660-L666","name":"Nat.le_sub_of_add_le","line":660,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_sub_of_add_le","doc":""},"Nat.le_step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1589-L1590","name":"Nat.le_step","line":1589,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_step","doc":""},"Nat.le_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1605-L1606","name":"Nat.le_refl","line":1605,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_refl","doc":""},"Nat.le_or_eq_of_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L332-L338","name":"Nat.le_or_eq_of_le_succ","line":332,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_or_eq_of_le_succ","doc":""},"Nat.le_of_succ_le_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1628-L1629","name":"Nat.le_of_succ_le_succ","line":1628,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_succ_le_succ","doc":""},"Nat.le_of_succ_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L280-L281","name":"Nat.le_of_succ_le","line":280,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_succ_le","doc":""},"Nat.le_of_mul_le_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L459-L462","name":"Nat.le_of_mul_le_mul_left","line":459,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_mul_le_mul_left","doc":""},"Nat.le_of_lt_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1631-L1632","name":"Nat.le_of_lt_succ","line":1631,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_lt_succ","doc":""},"Nat.le_of_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L283-L284","name":"Nat.le_of_lt","line":283,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_lt","doc":""},"Nat.le_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L277-L278","name":"Nat.le_of_eq","line":277,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_eq","doc":""},"Nat.le_of_ble_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1675-L1678","name":"Nat.le_of_ble_eq_true","line":1675,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.le_of_ble_eq_true","doc":""},"Nat.le_of_add_le_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L417-L419","name":"Nat.le_of_add_le_add_right","line":417,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le_of_add_le_add_right","doc":""},"Nat.le_of_add_le_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec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`n ≤ m`, then `n ≤ m + 1`. "},"Nat.le.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1556-L1557","name":"Nat.le.refl","line":1556,"kind":"ctor","docLink":"./Init/Prelude.html#Nat.le.refl","doc":"Less-equal is reflexive: `n ≤ n` "},"Nat.le.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L357-L358","name":"Nat.le.intro","line":357,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.intro","doc":""},"Nat.le.dest":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L347-L355","name":"Nat.le.dest","line":347,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.le.dest","doc":""},"Nat.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1555-L1559","name":"Nat.le","line":1555,"kind":"inductive","docLink":"./Init/Prelude.html#Nat.le","doc":"An inductive definition of the less-equal relation on natural numbers,\ncharacterized as the least relation `≤` such that `n ≤ n` and `n ≤ m → n ≤ m + 1`.\n"},"Nat.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L34-L34","name":"Nat.land","line":34,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.land","doc":""},"Nat.isValidChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2041-L2042","name":"Nat.isValidChar","line":2041,"kind":"def","docLink":"./Init/Prelude.html#Nat.isValidChar","doc":"A `Nat` denotes a valid unicode codepoint if it is less than `0x110000`, and\nit is also not a \"surrogate\" character (the range `0xd800` to `0xdfff` inclusive).\n"},"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L46-L50","name":"Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","line":46,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo.isPowerOfTwo_go","doc":""},"Nat.isPowerOfTwo_nextPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L42-L52","name":"Nat.isPowerOfTwo_nextPowerOfTwo","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo_nextPowerOfTwo","doc":""},"Nat.isPowerOfTwo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Power2.lean#L27-L27","name":"Nat.isPowerOfTwo","line":27,"kind":"def","docLink":"./Init/Data/Nat/Power2.html#Nat.isPowerOfTwo","doc":""},"Nat.instXorNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L50-L50","name":"Nat.instXorNat","line":50,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instXorNat","doc":""},"Nat.instTransNatLtInstLTNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L271-L272","name":"Nat.instTransNatLtInstLTNatLeInstLENat","line":271,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNatLeInstLENat","doc":""},"Nat.instTransNatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L265-L266","name":"Nat.instTransNatLtInstLTNat","line":265,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENatLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L274-L275","name":"Nat.instTransNatLeInstLENatLtInstLTNat","line":274,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENatLtInstLTNat","doc":""},"Nat.instTransNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L268-L269","name":"Nat.instTransNatLeInstLENat","line":268,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instTransNatLeInstLENat","doc":""},"Nat.instShiftRightNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L52-L52","name":"Nat.instShiftRightNat","line":52,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftRightNat","doc":""},"Nat.instShiftLeftNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L51-L51","name":"Nat.instShiftLeftNat","line":51,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instShiftLeftNat","doc":""},"Nat.instOrOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L49-L49","name":"Nat.instOrOpNat","line":49,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instOrOpNat","doc":""},"Nat.instModNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L85-L85","name":"Nat.instModNat","line":85,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instModNat","doc":""},"Nat.instMaxNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L508-L508","name":"Nat.instMaxNat","line":508,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instMaxNat","doc":""},"Nat.instLawfulBEqNatInstBEqNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L100-L102","name":"Nat.instLawfulBEqNatInstBEqNat","line":100,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instLawfulBEqNatInstBEqNat","doc":""},"Nat.instDivNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L23-L23","name":"Nat.instDivNat","line":23,"kind":"instance","docLink":"./Init/Data/Nat/Div.html#Nat.instDivNat","doc":""},"Nat.instAntisymmNatNotLtInstLTNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L380-L381","name":"Nat.instAntisymmNatNotLtInstLTNat","line":380,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatNotLtInstLTNat","doc":""},"Nat.instAntisymmNatLeInstLENat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L377-L378","name":"Nat.instAntisymmNatLeInstLENat","line":377,"kind":"instance","docLink":"./Init/Data/Nat/Basic.html#Nat.instAntisymmNatLeInstLENat","doc":""},"Nat.instAndOpNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L48-L48","name":"Nat.instAndOpNat","line":48,"kind":"instance","docLink":"./Init/Data/Nat/Bitwise.html#Nat.instAndOpNat","doc":""},"Nat.imax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L14-L15","name":"Nat.imax","line":14,"kind":"def","docLink":"./Lean/Level.html#Nat.imax","doc":""},"Nat.gt_of_not_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L367-L370","name":"Nat.gt_of_not_le","line":367,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.gt_of_not_le","doc":""},"Nat.ge_of_not_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L372-L375","name":"Nat.ge_of_not_lt","line":372,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ge_of_not_lt","doc":""},"Nat.gcd_zero_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L30-L36","name":"Nat.gcd_zero_right","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_right","doc":""},"Nat.gcd_zero_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L20-L21","name":"Nat.gcd_zero_left","line":20,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_zero_left","doc":""},"Nat.gcd_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L23-L24","name":"Nat.gcd_succ","line":23,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_succ","doc":""},"Nat.gcd_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L38-L39","name":"Nat.gcd_self","line":38,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_self","doc":""},"Nat.gcd_one_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L26-L28","name":"Nat.gcd_one_left","line":26,"kind":"theorem","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd_one_left","doc":""},"Nat.gcd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Gcd.lean#L17-L18","name":"Nat.gcd","line":17,"kind":"def","docLink":"./Init/Data/Nat/Gcd.html#Nat.gcd","doc":""},"Nat.forRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L20-L22","name":"Nat.forRevM.loop","line":20,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM.loop","doc":""},"Nat.forRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L19-L23","name":"Nat.forRevM","line":19,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forRevM","doc":""},"Nat.forM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L14-L16","name":"Nat.forM.loop","line":14,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM.loop","doc":""},"Nat.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L13-L17","name":"Nat.forM","line":13,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.forM","doc":""},"Nat.fold_eq_foldTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L737-L739","name":"Nat.fold_eq_foldTR.go","line":737,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR.go","doc":""},"Nat.fold_eq_foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L735-L740","name":"Nat.fold_eq_foldTR","line":735,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.fold_eq_foldTR","doc":""},"Nat.foldTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L23-L25","name":"Nat.foldTR.loop","line":23,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR.loop","doc":""},"Nat.foldTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L22-L26","name":"Nat.foldTR","line":22,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldTR","doc":"Tail-recursive version of `Nat.fold`. "},"Nat.foldRevM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L32-L34","name":"Nat.foldRevM.loop","line":32,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM.loop","doc":""},"Nat.foldRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L31-L35","name":"Nat.foldRevM","line":31,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldRevM","doc":""},"Nat.foldRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L32-L34","name":"Nat.foldRev","line":32,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.foldRev","doc":"`Nat.foldRev` evaluates `f` on the numbers up to `n` exclusive, in decreasing order:\n* `Nat.foldRev f 3 init = f 0 <| f 1 <| f 2 <| init`\n"},"Nat.foldM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L26-L28","name":"Nat.foldM.loop","line":26,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM.loop","doc":""},"Nat.foldM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L25-L29","name":"Nat.foldM","line":25,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.foldM","doc":""},"Nat.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L17-L19","name":"Nat.fold","line":17,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.fold","doc":"`Nat.fold` evaluates `f` on the numbers up to `n` exclusive, in increasing order:\n* `Nat.fold f 3 init = init |> f 0 |> f 1 |> f 2`\n"},"Nat.eq_zero_or_pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L288-L290","name":"Nat.eq_zero_or_pos","line":288,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_or_pos","doc":""},"Nat.eq_zero_of_le_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L301-L302","name":"Nat.eq_zero_of_le_zero","line":301,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_zero_of_le_zero","doc":""},"Nat.eq_or_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1634-L1642","name":"Nat.eq_or_lt_of_le","line":1634,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_or_lt_of_le","doc":""},"Nat.eq_of_mul_eq_mul_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L468-L469","name":"Nat.eq_of_mul_eq_mul_right","line":468,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_right","doc":""},"Nat.eq_of_mul_eq_mul_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L464-L466","name":"Nat.eq_of_mul_eq_mul_left","line":464,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_of_mul_eq_mul_left","doc":""},"Nat.eq_of_beq_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1504-L1511","name":"Nat.eq_of_beq_eq_true","line":1504,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.eq_of_beq_eq_true","doc":""},"Nat.eq_add_of_sub_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L607-L608","name":"Nat.eq_add_of_sub_eq","line":607,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.eq_add_of_sub_eq","doc":""},"Nat.div_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L12-L13","name":"Nat.div_rec_lemma","line":12,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_rec_lemma","doc":""},"Nat.div_lt_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L56-L65","name":"Nat.div_lt_self","line":56,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_lt_self","doc":""},"Nat.div_le_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L42-L54","name":"Nat.div_le_self","line":42,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_le_self","doc":""},"Nat.div_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L25-L28","name":"Nat.div_eq","line":25,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_eq","doc":""},"Nat.div_add_mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L166-L175","name":"Nat.div_add_mod","line":166,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div_add_mod","doc":""},"Nat.div.inductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L30-L40","name":"Nat.div.inductionOn","line":30,"kind":"theorem","docLink":"./Init/Data/Nat/Div.html#Nat.div.inductionOn","doc":""},"Nat.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Div.lean#L16-L21","name":"Nat.div","line":16,"kind":"def","docLink":"./Init/Data/Nat/Div.html#Nat.div","doc":""},"Nat.digitChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L106-L123","name":"Nat.digitChar","line":106,"kind":"def","docLink":"./Init/Data/Repr.html#Nat.digitChar","doc":""},"Nat.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1701-L1702","name":"Nat.decLt","line":1701,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLt","doc":""},"Nat.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1697-L1698","name":"Nat.decLe","line":1697,"kind":"instance","docLink":"./Init/Prelude.html#Nat.decLe","doc":""},"Nat.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1529-L1532","name":"Nat.decEq","line":1529,"kind":"def","docLink":"./Init/Prelude.html#Nat.decEq","doc":"A decision procedure for equality of natural numbers.\n\nThis definition is overridden in the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model.\n"},"Nat.ctor_eq_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L423-L424","name":"Nat.ctor_eq_zero","line":423,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ctor_eq_zero","doc":""},"Nat.caseStrongInductionOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L175-L183","name":"Nat.caseStrongInductionOn","line":175,"kind":"theorem","docLink":"./Init/WF.html#Nat.caseStrongInductionOn","doc":""},"Nat.blt_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L98-L98","name":"Nat.blt_eq","line":98,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.blt_eq","doc":""},"Nat.blt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L76-L77","name":"Nat.blt","line":76,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.blt","doc":"Boolean less-than of natural numbers. "},"Nat.ble_succ_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1684-L1686","name":"Nat.ble_succ_eq_true","line":1684,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_succ_eq_true","doc":""},"Nat.ble_self_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1680-L1682","name":"Nat.ble_self_eq_true","line":1680,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_self_eq_true","doc":""},"Nat.ble_eq_true_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1688-L1691","name":"Nat.ble_eq_true_of_le","line":1688,"kind":"theorem","docLink":"./Init/Prelude.html#Nat.ble_eq_true_of_le","doc":""},"Nat.ble_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L97-L97","name":"Nat.ble_eq","line":97,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.ble_eq","doc":""},"Nat.ble":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1545-L1549","name":"Nat.ble","line":1545,"kind":"def","docLink":"./Init/Prelude.html#Nat.ble","doc":"The (Boolean) less-equal relation on natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.bitwise_rec_lemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L13-L14","name":"Nat.bitwise_rec_lemma","line":13,"kind":"theorem","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise_rec_lemma","doc":""},"Nat.bitwise":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Bitwise.lean#L16-L31","name":"Nat.bitwise","line":16,"kind":"def","docLink":"./Init/Data/Nat/Bitwise.html#Nat.bitwise","doc":""},"Nat.beq_refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L92-L94","name":"Nat.beq_refl","line":92,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_refl","doc":""},"Nat.beq_eq_true_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L104-L104","name":"Nat.beq_eq_true_eq","line":104,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq_true_eq","doc":""},"Nat.beq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L96-L96","name":"Nat.beq_eq","line":96,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.beq_eq","doc":""},"Nat.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1495-L1499","name":"Nat.beq","line":1495,"kind":"def","docLink":"./Init/Prelude.html#Nat.beq","doc":"(Boolean) equality of natural numbers.\n\nThis definition is overridden in both the kernel and the compiler to efficiently\nevaluate using the \"bignum\" representation (see `Nat`). The definition provided\nhere is the logical model (and it is soundness-critical that they coincide).\n"},"Nat.any_eq_anyTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L744-L748","name":"Nat.any_eq_anyTR.go","line":744,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR.go","doc":""},"Nat.any_eq_anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L742-L749","name":"Nat.any_eq_anyTR","line":742,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.any_eq_anyTR","doc":""},"Nat.anyTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L43-L45","name":"Nat.anyTR.loop","line":43,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR.loop","doc":""},"Nat.anyTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L42-L46","name":"Nat.anyTR","line":42,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.anyTR","doc":"Tail-recursive version of `Nat.any`. "},"Nat.anyM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L47-L52","name":"Nat.anyM.loop","line":47,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM.loop","doc":""},"Nat.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L46-L53","name":"Nat.anyM","line":46,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.anyM","doc":""},"Nat.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L37-L39","name":"Nat.any","line":37,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.any","doc":"`any f n = true` iff there is `i in [0, n-1]` s.t. `f i = true` "},"Nat.all_eq_allTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L753-L757","name":"Nat.all_eq_allTR.go","line":753,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR.go","doc":""},"Nat.all_eq_allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L751-L758","name":"Nat.all_eq_allTR","line":751,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.all_eq_allTR","doc":""},"Nat.allTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L55-L57","name":"Nat.allTR.loop","line":55,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR.loop","doc":""},"Nat.allTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L54-L58","name":"Nat.allTR","line":54,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.allTR","doc":"Tail-recursive version of `Nat.all`. "},"Nat.allM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L38-L43","name":"Nat.allM.loop","line":38,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM.loop","doc":""},"Nat.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Control.lean#L37-L44","name":"Nat.allM","line":37,"kind":"def","docLink":"./Init/Data/Nat/Control.html#Nat.allM","doc":""},"Nat.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L49-L51","name":"Nat.all","line":49,"kind":"def","docLink":"./Init/Data/Nat/Basic.html#Nat.all","doc":"`all f n = true` iff every `i in [0, n-1]` satisfies `f i = true` "},"Nat.add_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L457-L457","name":"Nat.add_zero","line":457,"kind":"theorem","docLink":"./Init/Core.html#Nat.add_zero","doc":""},"Nat.add_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L122-L123","name":"Nat.add_succ","line":122,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_succ","doc":""},"Nat.add_sub_self_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L539-L540","name":"Nat.add_sub_self_right","line":539,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_right","doc":""},"Nat.add_sub_self_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L532-L537","name":"Nat.add_sub_self_left","line":532,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_self_left","doc":""},"Nat.add_sub_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L575-L581","name":"Nat.add_sub_of_le","line":575,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_of_le","doc":""},"Nat.add_sub_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L598-L600","name":"Nat.add_sub_cancel_left","line":598,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel_left","doc":""},"Nat.add_sub_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L594-L596","name":"Nat.add_sub_cancel","line":594,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_cancel","doc":""},"Nat.add_sub_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L602-L605","name":"Nat.add_sub_assoc","line":602,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_assoc","doc":""},"Nat.add_sub_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L586-L589","name":"Nat.add_sub_add_right","line":586,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_right","doc":""},"Nat.add_sub_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L591-L592","name":"Nat.add_sub_add_left","line":591,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_sub_add_left","doc":""},"Nat.add_right_comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L145-L146","name":"Nat.add_right_comm","line":145,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_comm","doc":""},"Nat.add_right_cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L153-L155","name":"Nat.add_right_cancel","line":153,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_right_cancel","doc":""},"Nat.add_one":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L125-L126","name":"Nat.add_one","line":125,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_one","doc":""},"Nat.add_mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L195-L196","name":"Nat.add_mul","line":195,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_mul","doc":""},"Nat.add_lt_of_lt_sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L668-L677","name":"Nat.add_lt_of_lt_sub","line":668,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_of_lt_sub","doc":""},"Nat.add_lt_add_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L398-L399","name":"Nat.add_lt_add_right","line":398,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_right","doc":""},"Nat.add_lt_add_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L395-L396","name":"Nat.add_lt_add_left","line":395,"kind":"theorem","docLink":"./Init/Data/Nat/Basic.html#Nat.add_lt_add_left","doc":""},"Nat.add_lt_add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Nat/Basic.lean#L407-L408","name":"Nat.add_lt_add","line":407,"kind":"theorem","docLink":"./Init/Data/Nat/Ba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We use `fixedVar` for encoding numerals.\nThe denotation of `fixedVar` is always `1`. 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type of natural numbers, starting at zero. It is defined as an\ninductive type freely generated by \"zero is a natural number\" and\n\"the successor of a natural number is a natural number\".\n\nYou can prove a theorem `P n` about `n : Nat` by `induction n`, which will\nexpect a proof of the theorem for `P 0`, and a proof of `P (succ i)` assuming\na proof of `P i`. The same method also works to define functions by recursion\non natural numbers: induction and recursion are two expressions of the same\noperation from lean's point of view.\n\n```\nopen Nat\nexample (n : Nat) : n < succ n := by\n induction n with\n | zero =>\n show 0 < 1\n decide\n | succ i ih => -- ih : i < succ i\n show succ i < succ (succ i)\n exact Nat.succ_lt_succ ih\n```\n\nThis type is special-cased by both the kernel and the compiler:\n* The type of expressions contains \"`Nat` literals\" as a primitive constructor,\n and the kernel knows how to reduce zero/succ expressions to nat literals.\n* If implemented naively, this type would represent a numeral `n` in unary as a\n linked list with `n` links, which is horribly inefficient. Instead, the\n runtime itself has a special representation for `Nat` which stores numbers up\n to 2^63 directly and larger numbers use an arbitrary precision \"bignum\"\n library (usually [GMP](https://gmplib.org/)).\n"},"Mul.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1275-L1275","name":"Mul.mul","line":1275,"kind":"def","docLink":"./Init/Prelude.html#Mul.mul","doc":"`a * b` computes the product of `a` and `b`. See `HMul`. "},"Mul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1273-L1273","name":"Mul.mk","line":1273,"kind":"ctor","docLink":"./Init/Prelude.html#Mul.mk","doc":""},"Mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1273-L1275","name":"Mul","line":1273,"kind":"class","docLink":"./Init/Prelude.html#Mul","doc":"The homogeneous version of `HMul`: `a * b : α` where `a b : α`. "},"MonadWithReaderOf.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3062-L3062","name":"MonadWithReaderOf.withReader","line":3062,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReaderOf.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3059-L3059","name":"MonadWithReaderOf.mk","line":3059,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReaderOf.mk","doc":""},"MonadWithReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3059-L3062","name":"MonadWithReaderOf","line":3059,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReaderOf","doc":"`MonadWithReaderOf ρ` adds the operation `withReader : (ρ → ρ) → m α → m α`.\nThis runs the inner `x : m α` inside a modified context after applying the\nfunction `f : ρ → ρ`. In addition to `ReaderT` itself, this operation lifts\nover most monad transformers, so it allows us to apply `withReader` to monads\ndeeper in the stack.\n"},"MonadWithReader.withReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3076-L3076","name":"MonadWithReader.withReader","line":3076,"kind":"def","docLink":"./Init/Prelude.html#MonadWithReader.withReader","doc":"`withReader (f : ρ → ρ) (x : m α) : m α` runs the inner `x : m α` inside\na modified context after applying the function `f : ρ → ρ`."},"MonadWithReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3073-L3073","name":"MonadWithReader.mk","line":3073,"kind":"ctor","docLink":"./Init/Prelude.html#MonadWithReader.mk","doc":""},"MonadWithReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3073-L3076","name":"MonadWithReader","line":3073,"kind":"class","docLink":"./Init/Prelude.html#MonadWithReader","doc":"Similar to `MonadWithReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadStateOf.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3099-L3099","name":"MonadStateOf.set","line":3099,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadStateOf.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3106-L3106","name":"MonadStateOf.modifyGet","line":3106,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadStateOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3095-L3095","name":"MonadStateOf.mk","line":3095,"kind":"ctor","docLink":"./Init/Prelude.html#MonadStateOf.mk","doc":""},"MonadStateOf.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3097-L3097","name":"MonadStateOf.get","line":3097,"kind":"def","docLink":"./Init/Prelude.html#MonadStateOf.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadStateOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3095-L3106","name":"MonadStateOf","line":3095,"kind":"class","docLink":"./Init/Prelude.html#MonadStateOf","doc":"An implementation of [`MonadState`]. In contrast to the Haskell implementation,\nwe use overlapping instances to derive instances automatically from `monadLift`.\n\n [`MonadState`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-State-Class.html\n"},"MonadState.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3138-L3138","name":"MonadState.set","line":3138,"kind":"def","docLink":"./Init/Prelude.html#MonadState.set","doc":"`set (s : σ)` replaces the state with value `s`. "},"MonadState.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3145-L3145","name":"MonadState.modifyGet","line":3145,"kind":"def","docLink":"./Init/Prelude.html#MonadState.modifyGet","doc":"`modifyGet (f : σ → α × σ)` applies `f` to the current state, replaces\nthe state with the return value, and returns a computed value.\n\nIt is equivalent to `do let (a, s) := f (← get); put s; pure a`, but\n`modifyGet f` may be preferable because the former does not use the state\nlinearly (without sufficient inlining). "},"MonadState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3134-L3134","name":"MonadState.mk","line":3134,"kind":"ctor","docLink":"./Init/Prelude.html#MonadState.mk","doc":""},"MonadState.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3136-L3136","name":"MonadState.get","line":3136,"kind":"def","docLink":"./Init/Prelude.html#MonadState.get","doc":"`(← get) : σ` gets the state out of a monad `m`. "},"MonadState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3134-L3145","name":"MonadState","line":3134,"kind":"class","docLink":"./Init/Prelude.html#MonadState","doc":"Similar to `MonadStateOf`, but `σ` is an `outParam` for convenience. "},"MonadShareCommon.withShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L87-L87","name":"MonadShareCommon.withShareCommon","line":87,"kind":"def","docLink":"./Init/ShareCommon.html#MonadShareCommon.withShareCommon","doc":""},"MonadShareCommon.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L86-L86","name":"MonadShareCommon.mk","line":86,"kind":"ctor","docLink":"./Init/ShareCommon.html#MonadShareCommon.mk","doc":""},"MonadShareCommon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/ShareCommon.lean#L86-L87","name":"MonadShareCommon","line":86,"kind":"class","docLink":"./Init/ShareCommon.html#MonadShareCommon","doc":""},"MonadReaderOf.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3026-L3026","name":"MonadReaderOf.read","line":3026,"kind":"def","docLink":"./Init/Prelude.html#MonadReaderOf.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReaderOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3024-L3024","name":"MonadReaderOf.mk","line":3024,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReaderOf.mk","doc":""},"MonadReaderOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3024-L3026","name":"MonadReaderOf","line":3024,"kind":"class","docLink":"./Init/Prelude.html#MonadReaderOf","doc":"An implementation of Haskell's [`MonadReader`] (sans functional dependency; see also `MonadReader`\nin this module). It does not contain `local` because this\nfunction cannot be lifted using `monadLift`. `local` is instead provided by\nthe `MonadWithReader` class as `withReader`.\n\nNote: This class can be seen as a simplification of the more \"principled\" definition\n```\nclass MonadReaderOf (ρ : Type u) (n : Type u → Type u) where\n lift {α : Type u} : ({m : Type u → Type u} → [Monad m] → ReaderT ρ m α) → n α\n```\n\n [`MonadReader`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Reader-Class.html#t:MonadReader\n"},"MonadReader.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3039-L3039","name":"MonadReader.read","line":3039,"kind":"def","docLink":"./Init/Prelude.html#MonadReader.read","doc":"`(← read) : ρ` reads the state out of monad `m`. "},"MonadReader.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3037-L3037","name":"MonadReader.mk","line":3037,"kind":"ctor","docLink":"./Init/Prelude.html#MonadReader.mk","doc":""},"MonadReader":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3037-L3039","name":"MonadReader","line":3037,"kind":"class","docLink":"./Init/Prelude.html#MonadReader","doc":"Similar to `MonadReaderOf`, but `ρ` is an `outParam` for convenience. "},"MonadLiftT.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2797-L2797","name":"MonadLiftT.monadLift","line":2797,"kind":"def","docLink":"./Init/Prelude.html#MonadLiftT.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLiftT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2795-L2795","name":"MonadLiftT.mk","line":2795,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLiftT.mk","doc":""},"MonadLiftT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2795-L2797","name":"MonadLiftT","line":2795,"kind":"class","docLink":"./Init/Prelude.html#MonadLiftT","doc":"The reflexive-transitive closure of `MonadLift`. `monadLift` is used to\ntransitively lift monadic computations such as `StateT.get` or `StateT.put s`.\nCorresponds to Haskell's [`MonadLift`].\n\n [`MonadLift`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLift\n"},"MonadLift.monadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2786-L2786","name":"MonadLift.monadLift","line":2786,"kind":"def","docLink":"./Init/Prelude.html#MonadLift.monadLift","doc":"Lifts a value from monad `m` into monad `n`. "},"MonadLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2784-L2784","name":"MonadLift.mk","line":2784,"kind":"ctor","docLink":"./Init/Prelude.html#MonadLift.mk","doc":""},"MonadLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2784-L2786","name":"MonadLift","line":2784,"kind":"class","docLink":"./Init/Prelude.html#MonadLift","doc":"A function for lifting a computation from an inner `Monad` to an outer `Monad`.\nLike Haskell's [`MonadTrans`], but `n` does not have to be a monad transformer.\nAlternatively, an implementation of [`MonadLayer`] without `layerInvmap` (so far).\n\n [`MonadTrans`]: https://hackage.haskell.org/package/transformers-0.5.5.0/docs/Control-Monad-Trans-Class.html\n [`MonadLayer`]: https://hackage.haskell.org/package/layers-0.1/docs/Control-Monad-Layer.html#t:MonadLayer\n"},"MonadFunctorT.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2829-L2829","name":"MonadFunctorT.monadMap","line":2829,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctorT.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctorT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2826-L2826","name":"MonadFunctorT.mk","line":2826,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctorT.mk","doc":""},"MonadFunctorT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2826-L2829","name":"MonadFunctorT","line":2826,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctorT","doc":"The reflexive-transitive closure of `MonadFunctor`.\n`monadMap` is used to transitively lift `Monad` morphisms. "},"MonadFunctor.monadMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2822-L2822","name":"MonadFunctor.monadMap","line":2822,"kind":"def","docLink":"./Init/Prelude.html#MonadFunctor.monadMap","doc":"Lifts a monad morphism `f : {β : Type u} → m β → m β` to\n`monadMap f : {α : Type u} → n α → n α`. "},"MonadFunctor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2819-L2819","name":"MonadFunctor.mk","line":2819,"kind":"ctor","docLink":"./Init/Prelude.html#MonadFunctor.mk","doc":""},"MonadFunctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2819-L2822","name":"MonadFunctor","line":2819,"kind":"class","docLink":"./Init/Prelude.html#MonadFunctor","doc":"A functor in the category of monads. Can be used to lift monad-transforming functions.\nBased on [`MFunctor`] from the `pipes` Haskell package, but not restricted to\nmonad transformers. Alternatively, an implementation of [`MonadTransFunctor`].\n\n [`MFunctor`]: https://hackage.haskell.org/package/pipes-2.4.0/docs/Control-MFunctor.html\n [`MonadTransFunctor`]: http://duairc.netsoc.ie/layers-docs/Control-Monad-Layer.html#t:MonadTransFunctor\n"},"MonadFinally.tryFinally'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L180-L180","name":"MonadFinally.tryFinally'","line":180,"kind":"def","docLink":"./Init/Control/Except.html#MonadFinally.tryFinally'","doc":"`tryFinally' x f` runs `x` and then the \"finally\" computation `f`.\nWhen `x` succeeds with `a : α`, `f (some a)` is returned. If `x` fails\nfor `m`'s definition of failure, `f none` is returned. Hence `tryFinally'`\ncan be thought of as performing the same role as a `finally` block in\nan imperative programming language. "},"MonadFinally.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L174-L174","name":"MonadFinally.mk","line":174,"kind":"ctor","docLink":"./Init/Control/Except.html#MonadFinally.mk","doc":""},"MonadFinally":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L174-L180","name":"MonadFinally","line":174,"kind":"class","docLink":"./Init/Control/Except.html#MonadFinally","doc":""},"MonadExceptOf.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2879-L2879","name":"MonadExceptOf.tryCatch","line":2879,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExceptOf.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2875-L2875","name":"MonadExceptOf.throw","line":2875,"kind":"def","docLink":"./Init/Prelude.html#MonadExceptOf.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExceptOf.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2872-L2872","name":"MonadExceptOf.mk","line":2872,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExceptOf.mk","doc":""},"MonadExceptOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2872-L2879","name":"MonadExceptOf","line":2872,"kind":"class","docLink":"./Init/Prelude.html#MonadExceptOf","doc":"An implementation of Haskell's [`MonadError`] class. A `MonadError ε m` is a\nmonad `m` with two operations:\n\n* `throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\n catch block\n* `tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n `body` and pass the resulting error to `handler`.\n Errors in `handler` will not be caught.\n\nThe `try ... catch e => ...` syntax inside `do` blocks is sugar for the\n`tryCatch` operation.\n\n [`MonadError`]: https://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Except.html#t:MonadError\n"},"MonadExcept.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2903-L2903","name":"MonadExcept.tryCatch","line":2903,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.tryCatch","doc":"`tryCatch (body : m α) (handler : ε → m α) : m α` will catch any errors in\n`body` and pass the resulting error to `handler`.\nErrors in `handler` will not be caught. "},"MonadExcept.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2899-L2899","name":"MonadExcept.throw","line":2899,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.throw","doc":"`throw : ε → m α` \"throws an error\" of type `ε` to the nearest enclosing\ncatch block. "},"MonadExcept.orelse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L156-L157","name":"MonadExcept.orelse'","line":156,"kind":"def","docLink":"./Init/Control/Except.html#MonadExcept.orelse'","doc":"Alternative orelse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orelse` uses the second. "},"MonadExcept.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2920-L2921","name":"MonadExcept.orElse","line":2920,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.orElse","doc":"A `MonadExcept` can implement `t₁ <|> t₂` as `try t₁ catch _ => t₂`. "},"MonadExcept.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2906-L2908","name":"MonadExcept.ofExcept","line":2906,"kind":"def","docLink":"./Init/Prelude.html#MonadExcept.ofExcept","doc":"\"Unwraps\" an `Except ε α` to get the `α`, or throws the exception otherwise. "},"MonadExcept.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2896-L2896","name":"MonadExcept.mk","line":2896,"kind":"ctor","docLink":"./Init/Prelude.html#MonadExcept.mk","doc":""},"MonadExcept.instOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2923-L2924","name":"MonadExcept.instOrElse","line":2923,"kind":"instance","docLink":"./Init/Prelude.html#MonadExcept.instOrElse","doc":""},"MonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2896-L2903","name":"MonadExcept","line":2896,"kind":"class","docLink":"./Init/Prelude.html#MonadExcept","doc":"Similar to `MonadExceptOf`, but `ε` is an `outParam` for convenience. "},"MonadControlT.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L196-L196","name":"MonadControlT.stM","line":196,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.stM","doc":""},"MonadControlT.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L198-L198","name":"MonadControlT.restoreM","line":198,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.restoreM","doc":""},"MonadControlT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L195-L195","name":"MonadControlT.mk","line":195,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControlT.mk","doc":""},"MonadControlT.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L197-L197","name":"MonadControlT.liftWith","line":197,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControlT.liftWith","doc":""},"MonadControlT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L195-L198","name":"MonadControlT","line":195,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControlT","doc":"Transitive closure of MonadControl. "},"MonadControl.stM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L190-L190","name":"MonadControl.stM","line":190,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.stM","doc":""},"MonadControl.restoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L192-L192","name":"MonadControl.restoreM","line":192,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.restoreM","doc":""},"MonadControl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L189-L189","name":"MonadControl.mk","line":189,"kind":"ctor","docLink":"./Init/Control/Basic.html#MonadControl.mk","doc":""},"MonadControl.liftWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L191-L191","name":"MonadControl.liftWith","line":191,"kind":"def","docLink":"./Init/Control/Basic.html#MonadControl.liftWith","doc":""},"MonadControl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L189-L192","name":"MonadControl","line":189,"kind":"class","docLink":"./Init/Control/Basic.html#MonadControl","doc":"MonadControl is a way of stating that the monad `m` can be 'run inside' the monad `n`.\n\nThis is the same as [`MonadBaseControl`](https://hackage.haskell.org/package/monad-control-1.0.3.1/docs/Control-Monad-Trans-Control.html#t:MonadBaseControl) in Haskell.\nTo learn about `MonadControl`, see the comment above this docstring.\n\n"},"Monad.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2750-L2750","name":"Monad.mk","line":2750,"kind":"ctor","docLink":"./Init/Prelude.html#Monad.mk","doc":""},"Monad":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2750-L2754","name":"Monad","line":2750,"kind":"class","docLink":"./Init/Prelude.html#Monad","doc":"A [monad](https://en.wikipedia.org/wiki/Monad_(functional_programming)) is a\nstructure which abstracts the concept of sequential control flow.\nIt mainly consists of two operations:\n\n* `pure : α → F α`\n* `bind : F α → (α → F β) → F β` (written as `>>=`)\n\nLike many functional programming languages, Lean makes extensive use of monads\nfor structuring programs. In particular, the `do` notation is a very powerful\nsyntax over monad operations, and it depends on a `Monad` instance.\n\nSee [the `do` notation](https://leanprover.github.io/lean4/doc/do.html)\nchapter of the manual for details.\n"},"Mod.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1294-L1294","name":"Mod.mod","line":1294,"kind":"def","docLink":"./Init/Prelude.html#Mod.mod","doc":"`a % b` computes the remainder upon dividing `a` by `b`. See `HMod`. "},"Mod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1292-L1292","name":"Mod.mk","line":1292,"kind":"ctor","docLink":"./Init/Prelude.html#Mod.mk","doc":""},"Mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1292-L1294","name":"Mod","line":1292,"kind":"class","docLink":"./Init/Prelude.html#Mod","doc":"The homogeneous version of `HMod`: `a % b : α` where `a b : α`. "},"Min.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1101-L1101","name":"Min.mk","line":1101,"kind":"ctor","docLink":"./Init/Prelude.html#Min.mk","doc":""},"Min.min":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1103-L1103","name":"Min.min","line":1103,"kind":"def","docLink":"./Init/Prelude.html#Min.min","doc":"The minimum operation: `min x y`. "},"Min":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1101-L1103","name":"Min","line":1101,"kind":"class","docLink":"./Init/Prelude.html#Min","doc":"`Min α` is the typeclass which supports the operation `min x y` where `x y : α`."},"Membership.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1430-L1430","name":"Membership.mk","line":1430,"kind":"ctor","docLink":"./Init/Prelude.html#Membership.mk","doc":""},"Membership.mem.upper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L79-L81","name":"Membership.mem.upper","line":79,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.upper","doc":""},"Membership.mem.lower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Range.lean#L83-L85","name":"Membership.mem.lower","line":83,"kind":"theorem","docLink":"./Init/Data/Range.html#Membership.mem.lower","doc":""},"Membership.mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1432-L1432","name":"Membership.mem","line":1432,"kind":"def","docLink":"./Init/Prelude.html#Membership.mem","doc":"The membership relation `a ∈ s : Prop` where `a : α`, `s : γ`. "},"Membership":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1430-L1432","name":"Membership","line":1430,"kind":"class","docLink":"./Init/Prelude.html#Membership","doc":"The typeclass behind the notation `a ∈ s : Prop` where `a : α`, `s : γ`.\nBecause `α` is an `outParam`, the \"container type\" `γ` determines the type\nof the elements of the container.\n"},"Max.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1088-L1088","name":"Max.mk","line":1088,"kind":"ctor","docLink":"./Init/Prelude.html#Max.mk","doc":""},"Max.max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1090-L1090","name":"Max.max","line":1090,"kind":"def","docLink":"./Init/Prelude.html#Max.max","doc":"The maximum operation: `max x y`. "},"Max":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1088-L1090","name":"Max","line":1088,"kind":"class","docLink":"./Init/Prelude.html#Max","doc":"`Max α` is the typeclass which supports the operation `max x y` where `x y : α`."},"MProd.snd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L492-L492","name":"MProd.snd","line":492,"kind":"def","docLink":"./Init/Prelude.html#MProd.snd","doc":"The second projection out of a pair. if `p : MProd α β` then `p.2 : β`. "},"MProd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L488-L488","name":"MProd.mk","line":488,"kind":"ctor","docLink":"./Init/Prelude.html#MProd.mk","doc":""},"MProd.fst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L490-L490","name":"MProd.fst","line":490,"kind":"def","docLink":"./Init/Prelude.html#MProd.fst","doc":"The first projection out of a pair. if `p : MProd α β` then `p.1 : α`. "},"MProd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L488-L492","name":"MProd","line":488,"kind":"structure","docLink":"./Init/Prelude.html#MProd","doc":"Similar to `Prod`, but `α` and `β` are in the same universe.\nWe say `MProd` is the universe monomorphic product type.\n"},"List.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L548-L550","name":"List.zipWith","line":548,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zipWith","doc":"`O(min |xs| |ys|)`. Applies `f` to the two lists in parallel, stopping at the shorter list.\n* `zipWith f [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [f x₁ y₁, f x₂ y₂, f x₃ y₃]`\n"},"List.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L557-L558","name":"List.zip","line":557,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.zip","doc":"`O(min |xs| |ys|)`. Combines the two lists into a list of pairs, with one element from each list.\nThe longer list is truncated to match the shorter list.\n* `zip [x₁, x₂, x₃] [y₁, y₂, y₃, y₄] = [(x₁, y₁), (x₂, y₂), (x₃, y₃)]`\n"},"List.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L564-L566","name":"List.unzip","line":564,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.unzip","doc":"`O(|l|)`. Separates a list of pairs into two lists containing the first components and second components.\n* `unzip [(x₁, y₁), (x₂, y₂), (x₃, y₃)] = ([x₁, x₂, x₃], [y₁, y₂, y₃])`\n"},"List.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ToString/Basic.lean#L48-L51","name":"List.toString","line":48,"kind":"def","docLink":"./Init/Data/ToString/Basic.html#List.toString","doc":""},"List.toSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/SSet.lean#L46-L47","name":"List.toSSet","line":46,"kind":"def","docLink":"./Lean/Data/SSet.html#List.toSSet","doc":""},"List.toPArray'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/PersistentArray.lean#L378-L380","name":"List.toPArray'.loop","line":378,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'.loop","doc":""},"List.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/PersistentArray.lean#L377-L381","name":"List.toPArray'","line":377,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#List.toPArray'","doc":""},"List.toFloatArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L164-L166","name":"List.toFloatArray.loop","line":164,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray.loop","doc":""},"List.toFloatArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L163-L167","name":"List.toFloatArray","line":163,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#List.toFloatArray","doc":""},"List.toByteArray.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L189-L191","name":"List.toByteArray.loop","line":189,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray.loop","doc":""},"List.toByteArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L188-L192","name":"List.toByteArray","line":188,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#List.toByteArray","doc":""},"List.toAssocList'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/AssocList.lean#L105-L107","name":"List.toAssocList'","line":105,"kind":"def","docLink":"./Lean/Data/AssocList.html#List.toAssocList'","doc":""},"List.toArray_eq_toArray_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L35-L38","name":"List.toArray_eq_toArray_eq","line":35,"kind":"theorem","docLink":"./Init/Data/Array/BasicAux.html#List.toArray_eq_toArray_eq","doc":""},"List.toArrayAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2638-L2640","name":"List.toArrayAux","line":2638,"kind":"def","docLink":"./Init/Prelude.html#List.toArrayAux","doc":"Auxiliary definition for `List.toArray`. "},"List.toArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2655-L2656","name":"List.toArray","line":2655,"kind":"def","docLink":"./Init/Prelude.html#List.toArray","doc":"Convert a `List α` into an `Array α`. This is O(n) in the length of the list.\n\nThis function is exported to C, where it is called by `Array.mk`\n(the constructor) to implement this functionality.\n"},"List.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L504-L508","name":"List.takeWhile","line":504,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.takeWhile","doc":"`O(|xs|)`. Returns the longest initial segment of `xs` for which `p` returns true.\n* `takeWhile (· > 5) [7, 6, 4, 8] = [7, 6]`\n* `takeWhile (· > 5) [7, 6, 6, 8] = [7, 6, 6, 8]`\n"},"List.take":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L494-L497","name":"List.take","line":494,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.take","doc":"`O(min n |xs|)`. Returns the first `n` elements of `xs`, or the whole list if `n` is too large.\n* `take 0 [a, b, c, d, e] = []`\n* `take 3 [a, b, c, d, e] = [a, b, c]`\n* `take 6 [a, b, c, d, e] = [a, b, c, d, e]`\n"},"List.tailD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L53-L55","name":"List.tailD","line":53,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tailD","doc":""},"List.tail?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L49-L51","name":"List.tail?","line":49,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail?","doc":""},"List.tail!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L45-L47","name":"List.tail!","line":45,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tail!","doc":""},"List.tacticSizeOf_list_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L127-L132","name":"List.tacticSizeOf_list_dec","line":127,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.tacticSizeOf_list_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf a < sizeOf as` when `a ∈ as`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : List T → T`. "},"List.span.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L426-L430","name":"List.span.loop","line":426,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span.loop","doc":""},"List.span":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L423-L430","name":"List.span","line":423,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.span","doc":"`O(|l|)`. `span p l` splits the list `l` into two parts, where the first part\ncontains the longest initial segment for which `p` returns true\nand the second part is everything else.\n\n* `span (· > 5) [6, 8, 9, 5, 2, 9] = ([6, 8, 9], [5, 2, 9])`\n* `span (· > 10) [6, 8, 9, 5, 2, 9] = ([6, 8, 9, 5, 2, 9], [])`\n"},"List.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L119-L122","name":"List.sizeOf_lt_of_mem","line":119,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_lt_of_mem","doc":""},"List.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L11-L19","name":"List.sizeOf_get_lt","line":11,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#List.sizeOf_get_lt","doc":""},"List.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L160-L166","name":"List.sizeOf_get","line":160,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.sizeOf_get","doc":""},"List.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2220-L2223","name":"List.set","line":2220,"kind":"def","docLink":"./Init/Prelude.html#List.set","doc":"`l.set n a` sets the value of list `l` at (zero-based) index `n` to `a`:\n`[a, b, c, d].set 1 b' = [a, b', c, d]`\n"},"List.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L84-L92","name":"List.rotateRight","line":84,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateRight","doc":""},"List.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L74-L82","name":"List.rotateLeft","line":74,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.rotateLeft","doc":""},"List.reverse_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L67-L68","name":"List.reverse_reverse","line":67,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_reverse","doc":""},"List.reverse_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L171-L172","name":"List.reverse_nil","line":171,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_nil","doc":""},"List.reverse_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L174-L176","name":"List.reverse_cons","line":174,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_cons","doc":""},"List.reverse_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L178-L181","name":"List.reverse_append","line":178,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverse_append","doc":""},"List.reverseAux_reverseAux_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L57-L60","name":"List.reverseAux_reverseAux_nil","line":57,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux_nil","doc":""},"List.reverseAux_reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L62-L65","name":"List.reverseAux_reverseAux","line":62,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_reverseAux","doc":""},"List.reverseAux_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L163-L169","name":"List.reverseAux_eq_append","line":163,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.reverseAux_eq_append","doc":""},"List.reverseAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L42-L44","name":"List.reverseAux","line":42,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverseAux","doc":"Auxiliary for `List.reverse`. `List.reverseAux l r = l.reverse ++ r`, but it is defined directly. "},"List.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L54-L55","name":"List.reverse","line":54,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.reverse","doc":"`O(|as|)`. Reverse of a list:\n* `[1, 2, 3, 4].reverse = [4, 3, 2, 1]`\n\nNote that because of the \"functional but in place\" optimization implemented by Lean's compiler,\nthis function works without any allocations provided that the input list is unshared:\nit simply walks the linked list and reverses all the node pointers.\n"},"List.repr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L246-L250","name":"List.repr'","line":246,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr'","doc":""},"List.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L237-L241","name":"List.repr","line":237,"kind":"def","docLink":"./Init/Data/Repr.html#List.repr","doc":""},"List.replicate_eq_replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L752-L754","name":"List.replicate_eq_replicateTR","line":752,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicate_eq_replicateTR","doc":""},"List.replicateTR_loop_replicate_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L747-L750","name":"List.replicateTR_loop_replicate_eq","line":747,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.replicateTR_loop_replicate_eq","doc":""},"List.replicateTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L742-L744","name":"List.replicateTR.loop","line":742,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR.loop","doc":""},"List.replicateTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L741-L745","name":"List.replicateTR","line":741,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicateTR","doc":"Tail-recursive version of `List.replicate`. "},"List.replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L736-L738","name":"List.replicate","line":736,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replicate","doc":"`replicate n a` is `n` copies of `a`:\n* `replicate 5 a = [a, a, a, a, a]`\n"},"List.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L320-L324","name":"List.replace","line":320,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.replace","doc":"`O(|l|)`. `replace l a b` replaces the first element in the list equal to `a` with `b`.\n\n* `replace [1, 4, 2, 3, 3, 7] 3 6 = [1, 4, 2, 6, 3, 7]`\n* `replace [1, 4, 2, 3, 3, 7] 5 6 = [1, 4, 2, 3, 3, 7]`\n"},"List.removeAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L466-L467","name":"List.removeAll","line":466,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.removeAll","doc":"`O(|xs|)`. Computes the \"set difference\" of lists,\nby filtering out all elements of `xs` which are also in `ys`.\n* `removeAll [1, 1, 5, 1, 2, 4, 5] [1, 2, 2] = [5, 4, 5]`\n "},"List.redLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2644-L2646","name":"List.redLength","line":2644,"kind":"def","docLink":"./Init/Prelude.html#List.redLength","doc":"A non-tail-recursive version of `List.length`, used for `List.toArray`. "},"List.range.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L575-L577","name":"List.range.loop","line":575,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range.loop","doc":""},"List.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L572-L577","name":"List.range","line":572,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.range","doc":"`O(n)`. `range n` is the numbers from `0` to `n` exclusive, in increasing order.\n* `range 5 = [0, 1, 2, 3, 4]`\n"},"List.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L646-L646","name":"List.pure","line":646,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.pure","doc":"`pure x = [x]` is the `pure` operation of the list monad. "},"List.partition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L270-L275","name":"List.partition.loop","line":270,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition.loop","doc":""},"List.partition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L267-L275","name":"List.partition","line":267,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.partition","doc":"`O(|l|)`. `partition p l` calls `p` on each element of `l`, partitioning the list into two lists\n`(l_true, l_false)` where `l_true` has the elements where `p` was true\nand `l_false` has the elements where `p` is false.\n`partition p l = (filter p l, filter (not ∘ p) l)`, but it is slightly more efficient\nsince it only has to do one pass over the list.\n```\npartition (· > 2) [1, 2, 5, 2, 7, 7] = ([5, 7, 7], [1, 2, 2])\n```\n"},"List.or":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L536-L536","name":"List.or","line":536,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.or","doc":"`O(|l|)`. Returns true if `true` is an element of the list of booleans `l`.\n* `or [a, b, c] = a || b || c`\n"},"List.of_concat_eq_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L841-L848","name":"List.of_concat_eq_concat","line":841,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.of_concat_eq_concat","doc":""},"List.notElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L339-L340","name":"List.notElem","line":339,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.notElem","doc":"`notElem a l` is `!(elem a l)`. "},"List.nil_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L92-L92","name":"List.nil_append","line":92,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.nil_append","doc":""},"List.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2183-L2184","name":"List.nil","line":2183,"kind":"ctor","docLink":"./Init/Prelude.html#List.nil","doc":"`[]` is the empty list. "},"List.minimum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L821-L823","name":"List.minimum?","line":821,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.minimum?","doc":"Returns the smallest element of the list, if it is not empty.\n* `[].minimum? = none`\n* `[4].minimum? = some 4`\n* `[1, 4, 2, 10, 6].minimum? = some 1`\n"},"List.mem_of_elem_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L359-L366","name":"List.mem_of_elem_eq_true","line":359,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_of_elem_eq_true","doc":""},"List.mem_append_of_mem_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L382-L386","name":"List.mem_append_of_mem_right","line":382,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_right","doc":""},"List.mem_append_of_mem_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L376-L380","name":"List.mem_append_of_mem_left","line":376,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mem_append_of_mem_left","doc":""},"List.maximum?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L811-L813","name":"List.maximum?","line":811,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.maximum?","doc":"Returns the largest element of the list, if it is not empty.\n* `[].maximum? = none`\n* `[4].maximum? = some 4`\n* `[1, 4, 2, 10, 6].maximum? = some 10`\n"},"List.map_eq_mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L192-L194","name":"List.map_eq_mapTR","line":192,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.map_eq_mapTR","doc":""},"List.mapTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L183-L190","name":"List.mapTR_loop_eq","line":183,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.mapTR_loop_eq","doc":""},"List.mapTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L159-L161","name":"List.mapTR.loop","line":159,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR.loop","doc":""},"List.mapTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L156-L161","name":"List.mapTR","line":156,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.mapTR","doc":"Tail-recursive version of `List.map`. "},"List.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L202-L205","name":"List.mapMonoM","line":202,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMonoM","doc":"Monomorphic `List.mapM`. The internal implementation uses pointer equality, and does not allocate a new list\nif the result of each `f a` is a pointer equal value `a`.\n"},"List.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L207-L208","name":"List.mapMono","line":207,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.mapMono","doc":""},"List.mapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L45-L47","name":"List.mapM.loop","line":45,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM.loop","doc":""},"List.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L44-L48","name":"List.mapM","line":44,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapM","doc":""},"List.mapA":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L51-L53","name":"List.mapA","line":51,"kind":"def","docLink":"./Init/Data/List/Control.html#List.mapA","doc":""},"List.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L151-L153","name":"List.map","line":151,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.map","doc":"`O(|l|)`. `map f l` applies `f` to each element of the list.\n* `map f [a, b, c] = [f a, f b, f c]`\n"},"List.lt.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L657-L658","name":"List.lt.tail","line":657,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.tail","doc":"If `a` and `b` are equivalent and `as < bs`, then `a::as < b::bs`. "},"List.lt.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L653-L654","name":"List.lt.nil","line":653,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.nil","doc":"`[]` is the smallest element in the order. "},"List.lt.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L655-L656","name":"List.lt.head","line":655,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.lt.head","doc":"If `a < b` then `a::as < b::bs`. "},"List.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L652-L658","name":"List.lt","line":652,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.lt","doc":"The lexicographic order on lists.\n`[] < a::as`, and `a::as < b::bs` if `a < b` or if `a` and `b` are equivalent and `as < bs`.\n"},"List.lookup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L456-L460","name":"List.lookup","line":456,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.lookup","doc":"`O(|l|)`. `lookup a l` treats `l : List (α × β)` like an association list,\nand returns the first `β` value corresponding to an `α` value in the list equal to `a`.\n\n* `lookup 3 [(1, 2), (3, 4), (3, 5)] = some 4`\n* `lookup 2 [(1, 2), (3, 4), (3, 5)] = none`\n"},"List.length_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L775-L781","name":"List.length_set","line":775,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_set","doc":""},"List.length_reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L800-L803","name":"List.length_reverse","line":800,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_reverse","doc":""},"List.length_replicate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L767-L768","name":"List.length_replicate","line":767,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_replicate","doc":""},"List.length_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L38-L39","name":"List.length_nil","line":38,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_nil","doc":""},"List.length_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L795-L798","name":"List.length_map","line":795,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_map","doc":""},"List.length_eq_lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L34-L36","name":"List.length_eq_lengthTR","line":34,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_eq_lengthTR","doc":""},"List.length_dropLast_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L783-L788","name":"List.length_dropLast_cons","line":783,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_dropLast_cons","doc":""},"List.length_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2248-L2249","name":"List.length_cons","line":2248,"kind":"theorem","docLink":"./Init/Prelude.html#List.length_cons","doc":""},"List.length_concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L770-L773","name":"List.length_concat","line":770,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_concat","doc":""},"List.length_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L790-L793","name":"List.length_append","line":790,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_append","doc":""},"List.length_add_eq_lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L27-L32","name":"List.length_add_eq_lengthTRAux","line":27,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.length_add_eq_lengthTRAux","doc":""},"List.lengthTRAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2237-L2239","name":"List.lengthTRAux","line":2237,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTRAux","doc":"Auxiliary function for `List.lengthTR`. "},"List.lengthTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2245-L2246","name":"List.lengthTR","line":2245,"kind":"def","docLink":"./Init/Prelude.html#List.lengthTR","doc":"A tail-recursive version of `List.length`, used to implement `List.length`\nwithout running out of stack space.\n"},"List.length":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2232-L2234","name":"List.length","line":2232,"kind":"def","docLink":"./Init/Prelude.html#List.length","doc":"The length of a list: `[].length = 0` and `(a :: l).length = l.length + 1`.\n\nThis function is overridden in the compiler to `lengthTR`, which uses constant\nstack space, while leaving this function to use the \"naive\" recursion which is\neasier for reasoning.\n"},"List.le_antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L168-L182","name":"List.le_antisymm","line":168,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.le_antisymm","doc":""},"List.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L682-L682","name":"List.le","line":682,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.le","doc":"The lexicographic order on lists. "},"List.join":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L200-L202","name":"List.join","line":200,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.join","doc":"`O(|join L|)`. `join L` concatenates all the lists in `L` into one list.\n* `join [[a], [], [b, c], [d, e, f]] = [a, b, c, d, e, f]`\n"},"List.isSuffixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L709-L710","name":"List.isSuffixOf?","line":709,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf?","doc":"`isSuffixOf? l₁ l₂` returns `some t` when `l₂ == t ++ l₁`."},"List.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L705-L706","name":"List.isSuffixOf","line":705,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isSuffixOf","doc":"`isSuffixOf l₁ l₂` returns `true` Iff `l₁` is a suffix of `l₂`.\nThat is, there exists a `t` such that `l₂ == t ++ l₁`. "},"List.isPrefixOf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L697-L701","name":"List.isPrefixOf?","line":697,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf?","doc":"`isPrefixOf? l₁ l₂` returns `some t` when `l₂ == l₁ ++ t`. "},"List.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L691-L694","name":"List.isPrefixOf","line":691,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isPrefixOf","doc":"`isPrefixOf l₁ l₂` returns `true` Iff `l₁` is a prefix of `l₂`.\nThat is, there exists a `t` such that `l₂ == l₁ ++ t`. "},"List.isEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L716-L719","name":"List.isEqv","line":716,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEqv","doc":"`O(min |as| |bs|)`. Returns true if `as` and `bs` have the same length,\nand they are pairwise related by `eqv`.\n"},"List.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L143-L145","name":"List.isEmpty","line":143,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.isEmpty","doc":"`O(1)`. `isEmpty l` is true if the list is empty.\n* `isEmpty [] = true`\n* `isEmpty [a] = false`\n* `isEmpty [a, b] = false`\n"},"List.iota_eq_iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L595-L600","name":"List.iota_eq_iotaTR","line":595,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.iota_eq_iotaTR","doc":""},"List.iotaTR.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L589-L591","name":"List.iotaTR.go","line":589,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR.go","doc":""},"List.iotaTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L588-L592","name":"List.iotaTR","line":588,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iotaTR","doc":"Tail-recursive version of `iota`. "},"List.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L583-L585","name":"List.iota","line":583,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.iota","doc":"`O(n)`. `iota n` is the numbers from `1` to `n` inclusive, in decreasing order.\n* `iota 5 = [5, 4, 3, 2, 1]`\n"},"List.intersperse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L623-L626","name":"List.intersperse","line":623,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intersperse","doc":"`O(|l|)`. `intersperse sep l` alternates `sep` and the elements of `l`:\n* `intersperse sep [] = []`\n* `intersperse sep [a] = [a]`\n* `intersperse sep [a, b] = [a, sep, b]`\n* `intersperse sep [a, b, c] = [a, sep, b, sep, c]`\n"},"List.intercalate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L635-L636","name":"List.intercalate","line":635,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.intercalate","doc":"`O(|xs|)`. `intercalate sep xs` alternates `sep` and the elements of `xs`:\n* `intercalate sep [] = []`\n* `intercalate sep [a] = a`\n* `intercalate sep [a, b] = a ++ sep ++ b`\n* `intercalate sep [a, b, c] = a ++ sep ++ b ++ sep ++ c`\n"},"List.instMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L356-L357","name":"List.instMembershipList","line":356,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instMembershipList","doc":""},"List.instLawfulBEqListInstBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L825-L839","name":"List.instLawfulBEqListInstBEqList","line":825,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLawfulBEqListInstBEqList","doc":""},"List.instLTList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L660-L660","name":"List.instLTList","line":660,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLTList","doc":""},"List.instLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L684-L684","name":"List.instLEList","line":684,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instLEList","doc":""},"List.instGetElemListNatLtInstLTNatLength":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L18-L19","name":"List.instGetElemListNatLtInstLTNatLength","line":18,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instGetElemListNatLtInstLTNatLength","doc":""},"List.instFunctorList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L195-L196","name":"List.instFunctorList","line":195,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instFunctorList","doc":""},"List.instForMList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L187-L188","name":"List.instForMList","line":187,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForMList","doc":""},"List.instForInList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L150-L151","name":"List.instForInList","line":150,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForInList","doc":""},"List.instForIn'ListInferInstanceMembershipInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L175-L176","name":"List.instForIn'ListInferInstanceMembershipInstMembershipList","line":175,"kind":"instance","docLink":"./Init/Data/List/Control.html#List.instForIn'ListInferInstanceMembershipInstMembershipList","doc":""},"List.instForAllListDecidableLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L686-L687","name":"List.instForAllListDecidableLeInstLEList","line":686,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instForAllListDecidableLeInstLEList","doc":""},"List.instEmptyCollectionList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L113-L113","name":"List.instEmptyCollectionList","line":113,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instEmptyCollectionList","doc":""},"List.instDecidableMemListInstMembershipList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L373-L374","name":"List.instDecidableMemListInstMembershipList","line":373,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instDecidableMemListInstMembershipList","doc":""},"List.instBEqList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L730-L730","name":"List.instBEqList","line":730,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instBEqList","doc":""},"List.instAppendList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L90-L90","name":"List.instAppendList","line":90,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.instAppendList","doc":""},"List.instAntisymmListLeInstLEList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L184-L185","name":"List.instAntisymmListLeInstLEList","line":184,"kind":"instance","docLink":"./Init/Data/List/BasicAux.html#List.instAntisymmListLeInstLEList","doc":""},"List.headD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L38-L40","name":"List.headD","line":38,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.headD","doc":""},"List.head?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L34-L36","name":"List.head?","line":34,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head?","doc":""},"List.head!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L30-L32","name":"List.head!","line":30,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head!","doc":""},"List.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L42-L43","name":"List.head","line":42,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.head","doc":""},"List.hasDecidableLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L662-L679","name":"List.hasDecidableLt","line":662,"kind":"instance","docLink":"./Init/Data/List/Basic.html#List.hasDecidableLt","doc":""},"List.hasDecEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2193-L2203","name":"List.hasDecEq","line":2193,"kind":"def","docLink":"./Init/Prelude.html#List.hasDecEq","doc":"Implements decidable equality for `List α`, assuming `α` has decidable equality. "},"List.groupBy.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L443-L447","name":"List.groupBy.loop","line":443,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy.loop","doc":""},"List.groupBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L439-L447","name":"List.groupBy","line":439,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.groupBy","doc":"`O(|l|)`. `groupBy R l` splits `l` into chains of elements\nsuch that adjacent elements are related by `R`.\n\n* `groupBy (·==·) [1, 1, 2, 2, 2, 3, 2] = [[1, 1], [2, 2, 2], [3], [2]]`\n* `groupBy (·<·) [1, 2, 5, 4, 5, 1, 4] = [[1, 2, 5], [4, 5], [1, 4]]`\n"},"List.get_last":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L109-L117","name":"List.get_last","line":109,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_last","doc":""},"List.get_drop_eq_drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L483-L486","name":"List.get_drop_eq_drop","line":483,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.get_drop_eq_drop","doc":""},"List.get_append_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L102-L107","name":"List.get_append_right","line":102,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_right","doc":""},"List.get_append_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L94-L100","name":"List.get_append_left","line":94,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.get_append_left","doc":""},"List.getLastD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L70-L72","name":"List.getLastD","line":70,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLastD","doc":""},"List.getLast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L66-L68","name":"List.getLast?","line":66,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast?","doc":""},"List.getLast!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L62-L64","name":"List.getLast!","line":62,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast!","doc":""},"List.getLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L57-L60","name":"List.getLast","line":57,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getLast","doc":""},"List.getD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L27-L28","name":"List.getD","line":27,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.getD","doc":""},"List.get?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L22-L25","name":"List.get?","line":22,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get?","doc":""},"List.get!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L17-L20","name":"List.get!","line":17,"kind":"def","docLink":"./Init/Data/List/BasicAux.html#List.get!","doc":""},"List.get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2261-L2263","name":"List.get","line":2261,"kind":"def","docLink":"./Init/Prelude.html#List.get","doc":"`as.get i` returns the `i`'th element of the list `as`.\nThis version of the function uses `i : Fin as.length` to ensure that it will\nnot index out of bounds.\n"},"List.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Format/Instances.lean#L16-L18","name":"List.format","line":16,"kind":"def","docLink":"./Init/Data/Format/Instances.html#List.format","doc":""},"List.forM_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L190-L191","name":"List.forM_nil","line":190,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_nil","doc":""},"List.forM_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L192-L193","name":"List.forM_cons","line":192,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forM_cons","doc":""},"List.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L56-L59","name":"List.forM","line":56,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forM","doc":""},"List.forIn_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L153-L154","name":"List.forIn_nil","line":153,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_nil","doc":""},"List.forIn_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L156-L158","name":"List.forIn_cons","line":156,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn_cons","doc":""},"List.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L142-L147","name":"List.forIn.loop","line":142,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn.loop","doc":""},"List.forIn'_eq_forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L178-L185","name":"List.forIn'_eq_forIn","line":178,"kind":"theorem","docLink":"./Init/Data/List/Control.html#List.forIn'_eq_forIn","doc":""},"List.forIn'.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L161-L172","name":"List.forIn'.loop","line":161,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'.loop","doc":""},"List.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L160-L173","name":"List.forIn'","line":160,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn'","doc":""},"List.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L141-L148","name":"List.forIn","line":141,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forIn","doc":""},"List.forA":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L62-L65","name":"List.forA","line":62,"kind":"def","docLink":"./Init/Data/List/Control.html#List.forA","doc":""},"List.foldrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L101-L102","name":"List.foldrM","line":101,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldrM","doc":""},"List.foldr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L514-L516","name":"List.foldr","line":514,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.foldr","doc":"`O(|l|)`. Applies function `f` to all of the elements of the list, from right to left.\n* `foldr f init [a, b, c] = f a <| f b <| f c <| init`\n"},"List.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L94-L98","name":"List.foldlM","line":94,"kind":"def","docLink":"./Init/Data/List/Control.html#List.foldlM","doc":""},"List.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2212-L2214","name":"List.foldl","line":2212,"kind":"def","docLink":"./Init/Prelude.html#List.foldl","doc":"Folds a function over a list from the left:\n`foldl f z [a, b, c] = f (f (f z a) b) c`\n"},"List.firstM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L105-L107","name":"List.firstM","line":105,"kind":"def","docLink":"./Init/Data/List/Control.html#List.firstM","doc":""},"List.findSomeM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L134-L139","name":"List.findSomeM?","line":134,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findSomeM?","doc":""},"List.findSome?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L308-L312","name":"List.findSome?","line":308,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.findSome?","doc":"`O(|l|)`. `findSome? f l` applies `f` to each element of `l`, and returns the first non-`none` result.\n\n* `findSome? (fun x => if x < 5 then some (10 * x) else none) [7, 6, 5, 8, 1, 2, 6] = some 10`\n"},"List.findM?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L126-L131","name":"List.findM?","line":126,"kind":"def","docLink":"./Init/Data/List/Control.html#List.findM?","doc":""},"List.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L297-L301","name":"List.find?","line":297,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.find?","doc":"`O(|l|)`. `find? p l` returns the first element for which `p` returns true,\nor `none` if no such element is found.\n\n* `find? (· < 5) [7, 6, 5, 8, 1, 2, 6] = some 1`\n* `find? (· < 1) [7, 6, 5, 8, 1, 2, 6] = none`\n"},"List.filter_eq_filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L253-L255","name":"List.filter_eq_filterTR","line":253,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filter_eq_filterTR","doc":""},"List.filterTR_loop_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L243-L251","name":"List.filterTR_loop_eq","line":243,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.filterTR_loop_eq","doc":""},"List.filterTR.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L237-L241","name":"List.filterTR.loop","line":237,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR.loop","doc":""},"List.filterTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L234-L241","name":"List.filterTR","line":234,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterTR","doc":"Tail-recursive version of `List.filter`. "},"List.filterRevM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L80-L81","name":"List.filterRevM","line":80,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterRevM","doc":""},"List.filterMapM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L85-L90","name":"List.filterMapM.loop","line":85,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM.loop","doc":""},"List.filterMapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L84-L91","name":"List.filterMapM","line":84,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterMapM","doc":""},"List.filterMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L214-L219","name":"List.filterMap","line":214,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filterMap","doc":"`O(|l|)`. `filterMap f l` takes a function `f : α → Option β` and applies it to each element of `l`;\nthe resulting non-`none` values are collected to form the output list.\n```\nfilterMap\n (fun x => if x > 2 then some (2 * x) else none)\n [1, 2, 5, 2, 7, 7]\n= [10, 14, 14]\n```\n"},"List.filterM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L75-L77","name":"List.filterM","line":75,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterM","doc":""},"List.filterAuxM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L68-L72","name":"List.filterAuxM","line":68,"kind":"def","docLink":"./Init/Data/List/Control.html#List.filterAuxM","doc":""},"List.filter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L227-L231","name":"List.filter","line":227,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.filter","doc":"`O(|l|)`. `filter f l` returns the list of elements in `l` for which `f` returns true.\n```\nfilter (· > 2) [1, 2, 5, 2, 7, 7] = [5, 7, 7]\n```\n"},"List.eraseReps.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L409-L413","name":"List.eraseReps.loop","line":409,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps.loop","doc":""},"List.eraseReps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L405-L413","name":"List.eraseReps","line":405,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseReps","doc":"`O(|l|)`. Erase repeated adjacent elements. Keeps the first occurrence of each run.\n* `eraseReps [1, 3, 2, 2, 2, 3, 5] = [1, 3, 2, 3, 5]`\n"},"List.eraseIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L132-L135","name":"List.eraseIdx","line":132,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseIdx","doc":"`O(i)`. `eraseIdx l i` removes the `i`'th element of the list `l`.\n* `erase [a, b, c, d, e] 0 = [b, c, d, e]`\n* `erase [a, b, c, d, e] 1 = [a, c, d, e]`\n* `erase [a, b, c, d, e] 5 = [a, b, c, d, e]`\n"},"List.eraseDups.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L395-L399","name":"List.eraseDups.loop","line":395,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups.loop","doc":""},"List.eraseDups":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L392-L399","name":"List.eraseDups","line":392,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.eraseDups","doc":"`O(|l|^2)`. Erase duplicated elements in the list.\nKeeps the first occurrence of duplicated elements.\n* `eraseDups [1, 3, 2, 2, 3, 5] = [1, 3, 2, 5]`\n"},"List.erase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L120-L124","name":"List.erase","line":120,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.erase","doc":"`O(|l|)`. `erase l a` removes the first occurrence of `a` from `l`.\n* `erase [1, 5, 3, 2, 5] 5 = [1, 3, 2, 5]`\n* `erase [1, 5, 3, 2, 5] 6 = [1, 5, 3, 2, 5]`\n"},"List.enumFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L606-L608","name":"List.enumFrom","line":606,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enumFrom","doc":"`O(|l|)`. `enumFrom n l` is like `enum` but it allows you to specify the initial index.\n* `enumFrom 5 [a, b, c] = [(5, a), (6, b), (7, c)]`\n"},"List.enum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L614-L614","name":"List.enum","line":614,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.enum","doc":"`O(|l|)`. `enum l` pairs up each element with its index in the list.\n* `enum [a, b, c] = [(0, a), (1, b), (2, c)]`\n"},"List.elem_eq_true_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L368-L371","name":"List.elem_eq_true_of_mem","line":368,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.elem_eq_true_of_mem","doc":""},"List.elem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L332-L336","name":"List.elem","line":332,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.elem","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.drop_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L480-L481","name":"List.drop_nil","line":480,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_nil","doc":""},"List.drop_eq_nil_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L853-L857","name":"List.drop_eq_nil_of_le","line":853,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.drop_eq_nil_of_le","doc":""},"List.dropWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L284-L288","name":"List.dropWhile","line":284,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropWhile","doc":"`O(|l|)`. `dropWhile p l` removes elements from the list until it finds the first element\nfor which `p` returns false; this element and everything after it is returned.\n```\ndropWhile (· < 4) [1, 3, 2, 4, 2, 7, 4] = [4, 2, 7, 4]\n```\n"},"List.dropLast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L762-L765","name":"List.dropLast","line":762,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.dropLast","doc":"Removes the last element of the list.\n* `dropLast [] = []`\n* `dropLast [a] = []`\n* `dropLast [a, b, c] = [a, b]`\n"},"List.drop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L475-L478","name":"List.drop","line":475,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.drop","doc":"`O(min n |xs|)`. Removes the first `n` elements of `xs`.\n* `drop 0 [a, b, c, d, e] = [a, b, c, d, e]`\n* `drop 3 [a, b, c, d, e] = [d, e]`\n* `drop 6 [a, b, c, d, e] = []`\n"},"List.contains":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L342-L343","name":"List.contains","line":342,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.contains","doc":"`O(|l|)`. `elem a l` or `l.contains a` is true if there is an element in `l` equal to `a`.\n\n* `elem 3 [1, 4, 2, 3, 3, 7] = true`\n* `elem 5 [1, 4, 2, 3, 3, 7] = false`\n"},"List.cons_getElem_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L21-L22","name":"List.cons_getElem_zero","line":21,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_zero","doc":""},"List.cons_getElem_succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L24-L25","name":"List.cons_getElem_succ","line":24,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_getElem_succ","doc":""},"List.cons_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L99-L99","name":"List.cons_append","line":99,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.cons_append","doc":""},"List.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2185-L2187","name":"List.cons","line":2185,"kind":"ctor","docLink":"./Init/Prelude.html#List.cons","doc":"If `a : α` and `l : List α`, then `cons a l`, or `a :: l`, is the\nlist whose first element is `a` and with `l` as the rest of the list. "},"List.concat_eq_append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L850-L851","name":"List.concat_eq_append","line":850,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.concat_eq_append","doc":""},"List.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2252-L2254","name":"List.concat","line":2252,"kind":"def","docLink":"./Init/Prelude.html#List.concat","doc":"`l.concat a` appends `a` at the *end* of `l`, that is, `l ++ [a]`. "},"List.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L643-L643","name":"List.bind","line":643,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.bind","doc":"`bind xs f` is the bind operation of the list monad. It applies `f` to each element of `xs`\nto get a list of lists, and then concatenates them all together.\n* `[2, 3, 2].bind range = [0, 1, 0, 1, 2, 0, 1]`\n"},"List.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L725-L728","name":"List.beq","line":725,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.beq","doc":"The equality relation on lists asserts that they have the same length\nand they are pairwise `BEq`.\n"},"List.asString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L12-L13","name":"List.asString","line":12,"kind":"def","docLink":"./Init/Data/String/Basic.html#List.asString","doc":""},"List.append_nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L93-L97","name":"List.append_nil","line":93,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_nil","doc":""},"List.append_eq_appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L82-L88","name":"List.append_eq_appendTR","line":82,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq_appendTR","doc":""},"List.append_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L101-L101","name":"List.append_eq","line":101,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_eq","doc":""},"List.append_cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L108-L111","name":"List.append_cons","line":108,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_cons","doc":""},"List.append_cancel_right_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L155-L158","name":"List.append_cancel_right_eq","line":155,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right_eq","doc":""},"List.append_cancel_right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L143-L148","name":"List.append_cancel_right","line":143,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_right","doc":""},"List.append_cancel_left_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L150-L153","name":"List.append_cancel_left_eq","line":150,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left_eq","doc":""},"List.append_cancel_left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/BasicAux.lean#L136-L141","name":"List.append_cancel_left","line":136,"kind":"theorem","docLink":"./Init/Data/List/BasicAux.html#List.append_cancel_left","doc":""},"List.append_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L103-L106","name":"List.append_assoc","line":103,"kind":"theorem","docLink":"./Init/Data/List/Basic.html#List.append_assoc","doc":""},"List.appendTR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L79-L80","name":"List.appendTR","line":79,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.appendTR","doc":"Tail-recursive version of `List.append`. "},"List.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L74-L76","name":"List.append","line":74,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.append","doc":"`O(|xs|)`: append two lists. `[1, 2, 3] ++ [4, 5] = [1, 2, 3, 4, 5]`.\nIt takes time proportional to the first list.\n"},"List.anyM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L110-L115","name":"List.anyM","line":110,"kind":"def","docLink":"./Init/Data/List/Control.html#List.anyM","doc":""},"List.any":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L522-L523","name":"List.any","line":522,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.any","doc":"`O(|l|)`. Returns true if `p` is true for any element of `l`.\n* `any p [a, b, c] = p a || p b || p c`\n"},"List.and":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L542-L542","name":"List.and","line":542,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.and","doc":"`O(|l|)`. Returns true if every element of `l` is the value `true`.\n* `and [a, b, c] = a && b && c`\n"},"List.allM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Control.lean#L118-L123","name":"List.allM","line":118,"kind":"def","docLink":"./Init/Data/List/Control.html#List.allM","doc":""},"List.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L529-L530","name":"List.all","line":529,"kind":"def","docLink":"./Init/Data/List/Basic.html#List.all","doc":"`O(|l|)`. Returns true if `p` is true for every element of `l`.\n* `all p [a, b, c] = p a && p b && p c`\n"},"List.Mem.tail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L353-L354","name":"List.Mem.tail","line":353,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.tail","doc":"A member of the tail of a list is a member of the list: `a ∈ l → a ∈ b :: l`. "},"List.Mem.head":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L351-L352","name":"List.Mem.head","line":351,"kind":"ctor","docLink":"./Init/Data/List/Basic.html#List.Mem.head","doc":"The head of a list is a member: `a ∈ a :: as`. "},"List.Mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/List/Basic.lean#L350-L354","name":"List.Mem","line":350,"kind":"inductive","docLink":"./Init/Data/List/Basic.html#List.Mem","doc":"`a ∈ l` is a predicate which asserts that `a` is in the list `l`.\nUnlike `elem`, this uses `=` instead of `==` and is suited for mathematical reasoning.\n* `a ∈ [x, y, z] ↔ a = x ∨ a = y ∨ a = z`\n"},"List":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2182-L2187","name":"List","line":2182,"kind":"inductive","docLink":"./Init/Prelude.html#List","doc":"`List α` is the type of ordered lists with elements of type `α`.\nIt is implemented as a linked list.\n\n`List α` is isomorphic to `Array α`, but they are useful for different things:\n* `List α` is easier for reasoning, and\n `Array α` is modeled as a wrapper around `List α`\n* `List α` works well as a persistent data structure, when many copies of the\n tail are shared. When the value is not shared, `Array α` will have better\n performance because it can do destructive 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"},"Lean.runModInit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/InitAttr.lean#L28-L28","name":"Lean.runModInit","line":28,"kind":"opaque","docLink":"./Lean/Compiler/InitAttr.html#Lean.runModInit","doc":"Run the initializer of the given module (without `builtin_initialize` commands).\nReturn `false` if the initializer is not available as native code.\nInitializers do not have corresponding Lean definitions, so they cannot be interpreted in this case. 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"},"Lean.runEval":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L778-L779","name":"Lean.runEval","line":778,"kind":"def","docLink":"./Init/System/IO.html#Lean.runEval","doc":""},"Lean.rootNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/OpenDecl.lean#L26-L26","name":"Lean.rootNamespace","line":26,"kind":"def","docLink":"./Lean/Data/OpenDecl.html#Lean.rootNamespace","doc":""},"Lean.resolveUniqueNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L233-L236","name":"Lean.resolveUniqueNamespace","line":233,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveUniqueNamespace","doc":"Given a namespace identifier, return the unique interpretation or else fail. "},"Lean.resolveNamespaceCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L214-L218","name":"Lean.resolveNamespaceCore","line":214,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespaceCore","doc":"Given a namespace name, return a list of possible interpretations.\nNames extracted from syntax should be passed to `resolveNamespace` instead.\n"},"Lean.resolveNamespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L221-L230","name":"Lean.resolveNamespace","line":221,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveNamespace","doc":"Given a namespace identifier, return a list of possible interpretations. "},"Lean.resolveGlobalName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L207-L208","name":"Lean.resolveGlobalName","line":207,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalName","doc":"Given a name `n`, return a list of possible interpretations.\nEach interpretation is a pair `(declName, fieldList)`, where `declName`\nis the name of a declaration in the current environment, and `fieldList` are\n(potential) field names.\nThe pair is needed because in Lean `.` may be part of a qualified name or\na field (aka dot-notation).\nAs an example, consider the following definitions\n```\ndef Boo.x := 1\ndef Foo.x := 2\ndef Foo.x.y := 3\n```\nAfter `open Foo`, we have\n- `resolveGlobalName x` => `[(Foo.x, [])]`\n- `resolveGlobalName x.y` => `[(Foo.x.y, [])]`\n- `resolveGlobalName x.z.w` => `[(Foo.x, [z, w])]`\n\nAfter `open Foo open Boo`, we have\n- `resolveGlobalName x` => `[(Foo.x, []), (Boo.x, [])]`\n- `resolveGlobalName x.y` => `[(Foo.x.y, [])]`\n- `resolveGlobalName x.z.w` => `[(Foo.x, [z, w]), (Boo.x, [z, w])]`\n"},"Lean.resolveGlobalConstNoOverloadCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L249-L253","name":"Lean.resolveGlobalConstNoOverloadCore","line":249,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalConstNoOverloadCore","doc":"For identifiers taken from syntax, use `resolveGlobalConstNoOverload` instead, which respects preresolved names. "},"Lean.resolveGlobalConstNoOverload":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/ResolveName.lean#L306-L310","name":"Lean.resolveGlobalConstNoOverload","line":306,"kind":"def","docLink":"./Lean/ResolveName.html#Lean.resolveGlobalConstNoOverload","doc":"Interpret the syntax `n` as an identifier for a global constant, and return a resolved\nconstant name. 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It is a `OfNat.ofNat` application.\nRecall that all theorems and definitions containing numeric literals are encoded using\n`OfNat.ofNat` applications in the frontend.\n"},"Lean.mkNameMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/NameMap.lean#L17-L17","name":"Lean.mkNameMap","line":17,"kind":"def","docLink":"./Lean/Data/NameMap.html#Lean.mkNameMap","doc":""},"Lean.mkModuleInitializationFunctionName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/NameMangling.lean#L63-L64","name":"Lean.mkModuleInitializationFunctionName","line":63,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.mkModuleInitializationFunctionName","doc":""},"Lean.mkModuleData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L639-L650","name":"Lean.mkModuleData","line":639,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkModuleData","doc":""},"Lean.mkMapDeclarationExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L579-L585","name":"Lean.mkMapDeclarationExtension","line":579,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkMapDeclarationExtension","doc":""},"Lean.mkMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L727-L727","name":"Lean.mkMVarEx","line":727,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVarEx","doc":""},"Lean.mkMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L640-L641","name":"Lean.mkMVar","line":640,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMVar","doc":"`.mvar mvarId` is now the preferred form.\nThis function is seldom used, metavariables are often created using functions such\nas `mkFresheExprMVar` at `MetaM`.\n"},"Lean.mkMDataEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L735-L735","name":"Lean.mkMDataEx","line":735,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMDataEx","doc":""},"Lean.mkMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L646-L647","name":"Lean.mkMData","line":646,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkMData","doc":"`.mdata m e` is now the preferred form.\n"},"Lean.mkLocalDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/LocalContext.lean#L57-L58","name":"Lean.mkLocalDeclEx","line":57,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLocalDeclEx","doc":""},"Lean.mkLitEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L734-L734","name":"Lean.mkLitEx","line":734,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLitEx","doc":""},"Lean.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L701-L702","name":"Lean.mkLit","line":701,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLit","doc":"`.lit l` is now the preferred form.\n"},"Lean.mkListNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L386-L387","name":"Lean.mkListNode","line":386,"kind":"def","docLink":"./Lean/Syntax.html#Lean.mkListNode","doc":""},"Lean.mkLevelZeroEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L152-L152","name":"Lean.mkLevelZeroEx","line":152,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelZeroEx","doc":""},"Lean.mkLevelSuccEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L153-L153","name":"Lean.mkLevelSuccEx","line":153,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSuccEx","doc":""},"Lean.mkLevelSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L141-L142","name":"Lean.mkLevelSucc","line":141,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelSucc","doc":""},"Lean.mkLevelParamEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L155-L155","name":"Lean.mkLevelParamEx","line":155,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParamEx","doc":""},"Lean.mkLevelParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L138-L139","name":"Lean.mkLevelParam","line":138,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelParam","doc":""},"Lean.mkLevelMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L156-L156","name":"Lean.mkLevelMaxEx","line":156,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMaxEx","doc":""},"Lean.mkLevelMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L503-L504","name":"Lean.mkLevelMax'","line":503,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax'","doc":""},"Lean.mkLevelMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L144-L145","name":"Lean.mkLevelMax","line":144,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMax","doc":""},"Lean.mkLevelMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L154-L154","name":"Lean.mkLevelMVarEx","line":154,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVarEx","doc":""},"Lean.mkLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L135-L136","name":"Lean.mkLevelMVar","line":135,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelMVar","doc":""},"Lean.mkLevelIMaxEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L157-L157","name":"Lean.mkLevelIMaxEx","line":157,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMaxEx","doc":""},"Lean.mkLevelIMax'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L517-L518","name":"Lean.mkLevelIMax'","line":517,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax'","doc":""},"Lean.mkLevelIMax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Level.lean#L147-L148","name":"Lean.mkLevelIMax","line":147,"kind":"def","docLink":"./Lean/Level.html#Lean.mkLevelIMax","doc":""},"Lean.mkLetFunAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1670-L1671","name":"Lean.mkLetFunAnnotation","line":1670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetFunAnnotation","doc":"Annotate `e` with the `let_fun` annotation. This annotation is used as hint for the delaborator.\nIf `e` is of the form `(fun x : t => b) v`, then `mkLetFunAnnotation e` is delaborated at\n`let_fun x : t := v; b`\n"},"Lean.mkLetEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L733-L733","name":"Lean.mkLetEx","line":733,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLetEx","doc":""},"Lean.mkLetDeclEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/LocalContext.lean#L60-L61","name":"Lean.mkLetDeclEx","line":60,"kind":"def","docLink":"./Lean/LocalContext.html#Lean.mkLetDeclEx","doc":""},"Lean.mkLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L684-L685","name":"Lean.mkLet","line":684,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLet","doc":"`.letE x t v b nonDep` is now the preferred form.\n"},"Lean.mkLambdaEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L731-L731","name":"Lean.mkLambdaEx","line":731,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambdaEx","doc":""},"Lean.mkLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L664-L665","name":"Lean.mkLambda","line":664,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLambda","doc":"`.lam x t b bi` is now the preferred form.\n"},"Lean.mkLHSGoalRaw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1742-L1743","name":"Lean.mkLHSGoalRaw","line":1742,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkLHSGoalRaw","doc":"Annotate `e` with the LHS annotation. The delaborator displays\nexpressions of the form `lhs = rhs` as `lhs` when they have this annotation.\nThis is used to implement the infoview for the `conv` mode.\n\nThis version of `mkLHSGoal` does not check that the argument is an equality.\n"},"Lean.mkInductiveValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L243-L256","name":"Lean.mkInductiveValEx","line":243,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveValEx","doc":""},"Lean.mkInductiveDeclEs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L165-L166","name":"Lean.mkInductiveDeclEs","line":165,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkInductiveDeclEs","doc":""},"Lean.mkInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1691-L1692","name":"Lean.mkInaccessible","line":1691,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkInaccessible","doc":"Auxiliary annotation used to mark terms marked with the \"inaccessible\" annotation `.(t)` and\n`_` in patterns.\n"},"Lean.mkIdentFromRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L507-L508","name":"Lean.mkIdentFromRef","line":507,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFromRef","doc":""},"Lean.mkIdentFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L504-L505","name":"Lean.mkIdentFrom","line":504,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdentFrom","doc":"Create an identifier copying the position from `src`.\nTo refer to a specific constant, use `mkCIdentFrom` instead. "},"Lean.mkIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L526-L527","name":"Lean.mkIdent","line":526,"kind":"def","docLink":"./Init/Meta.html#Lean.mkIdent","doc":""},"Lean.mkIBelowImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Constructions.lean#L15-L15","name":"Lean.mkIBelowImp","line":15,"kind":"opaque","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelowImp","doc":""},"Lean.mkIBelow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Constructions.lean#L29-L29","name":"Lean.mkIBelow","line":29,"kind":"def","docLink":"./Lean/Meta/Constructions.html#Lean.mkIBelow","doc":""},"Lean.mkHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L548-L549","name":"Lean.mkHole","line":548,"kind":"def","docLink":"./Init/Meta.html#Lean.mkHole","doc":""},"Lean.mkHashSetImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashSet.lean#L20-L24","name":"Lean.mkHashSetImp","line":20,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSetImp","doc":""},"Lean.mkHashSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashSet.lean#L127-L128","name":"Lean.mkHashSet","line":127,"kind":"def","docLink":"./Lean/Data/HashSet.html#Lean.mkHashSet","doc":""},"Lean.mkHashMapImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashMap.lean#L24-L28","name":"Lean.mkHashMapImp","line":24,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMapImp","doc":""},"Lean.mkHashMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/HashMap.lean#L137-L138","name":"Lean.mkHashMap","line":137,"kind":"def","docLink":"./Lean/Data/HashMap.html#Lean.mkHashMap","doc":""},"Lean.mkGroupNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L529-L530","name":"Lean.mkGroupNode","line":529,"kind":"def","docLink":"./Init/Meta.html#Lean.mkGroupNode","doc":""},"Lean.mkFreshMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1766-L1767","name":"Lean.mkFreshMVarId","line":1766,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshMVarId","doc":"Polymorphic operation for generating unique/fresh metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshLMVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1773-L1774","name":"Lean.mkFreshLMVarId","line":1773,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshLMVarId","doc":"Polymorphic operation for generating unique/fresh universe metavariable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkFreshId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L245-L249","name":"Lean.mkFreshId","line":245,"kind":"def","docLink":"./Init/Meta.html#Lean.mkFreshId","doc":""},"Lean.mkFreshFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1759-L1760","name":"Lean.mkFreshFVarId","line":1759,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFreshFVarId","doc":"Polymorphic operation for generating unique/fresh free variable identifiers.\nIt is available in any monad `m` that implements the inferface `MonadNameGenerator`.\n"},"Lean.mkForallEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L732-L732","name":"Lean.mkForallEx","line":732,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForallEx","doc":""},"Lean.mkForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L670-L671","name":"Lean.mkForall","line":670,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkForall","doc":"`.forallE x t b bi` is now the preferred form.\n"},"Lean.mkFVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L726-L726","name":"Lean.mkFVarEx","line":726,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVarEx","doc":""},"Lean.mkFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L632-L633","name":"Lean.mkFVar","line":632,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkFVar","doc":"`.fvar fvarId` is now the preferred form.\nThis function is seldom used, free variables are often automatically created using the\ntelescope functions (e.g., `forallTelescope` and `lambdaTelescope`) at `MetaM`.\n"},"Lean.mkErrorStringWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Message.lean#L17-L21","name":"Lean.mkErrorStringWithPos","line":17,"kind":"def","docLink":"./Lean/Message.html#Lean.mkErrorStringWithPos","doc":""},"Lean.mkEmptyEnvironment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L381-L391","name":"Lean.mkEmptyEnvironment","line":381,"kind":"def","docLink":"./Lean/Environment.html#Lean.mkEmptyEnvironment","doc":""},"Lean.mkEM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1783-L1783","name":"Lean.mkEM","line":1783,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkEM","doc":"Return `Classical.em p` "},"Lean.mkDefinitionValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L109-L111","name":"Lean.mkDefinitionValEx","line":109,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkDefinitionValEx","doc":""},"Lean.mkDefaultFnOfProjFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Structure.lean#L162-L163","name":"Lean.mkDefaultFnOfProjFn","line":162,"kind":"def","docLink":"./Lean/Structure.html#Lean.mkDefaultFnOfProjFn","doc":""},"Lean.mkDecIsTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1236-L1237","name":"Lean.mkDecIsTrue","line":1236,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkDecIsTrue","doc":""},"Lean.mkDecIsFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1239-L1240","name":"Lean.mkDecIsFalse","line":1239,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkDecIsFalse","doc":""},"Lean.mkConstructorValEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Declaration.lean#L278-L287","name":"Lean.mkConstructorValEx","line":278,"kind":"def","docLink":"./Lean/Declaration.html#Lean.mkConstructorValEx","doc":""},"Lean.mkConstWithLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MonadEnv.lean#L96-L98","name":"Lean.mkConstWithLevelParams","line":96,"kind":"def","docLink":"./Lean/MonadEnv.html#Lean.mkConstWithLevelParams","doc":""},"Lean.mkConstEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L729-L729","name":"Lean.mkConstEx","line":729,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkConstEx","doc":""},"Lean.mkConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L608-L609","name":"Lean.mkConst","line":608,"kind":"def","docLink":"./Lean/Expr.html#Lean.mkConst","doc":"`mkConst 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"},"Lean.Widget.diffInteractiveGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L234-L249","name":"Lean.Widget.diffInteractiveGoal","line":234,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffInteractiveGoal","doc":"Decorates the given goal `i₁` with a diff by comparing with goal `g₀`.\nIf `useAfter` is true then `i₁` is _after_ and `g₀` is _before_. Otherwise they are swapped. "},"Lean.Widget.diffHypothesesBundle.withTypeDiff":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L220-L226","name":"Lean.Widget.diffHypothesesBundle.withTypeDiff","line":220,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle.withTypeDiff","doc":""},"Lean.Widget.diffHypothesesBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L203-L226","name":"Lean.Widget.diffHypothesesBundle","line":203,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypothesesBundle","doc":"Diffs the given hypothesis bundle against the given local context.\n\nIf `useAfter == true`, `ctx₀` is the context _before_ and `h₁` is the bundle _after_.\nIf `useAfter == false`, these are swapped.\n "},"Lean.Widget.diffHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L228-L230","name":"Lean.Widget.diffHypotheses","line":228,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.diffHypotheses","doc":""},"Lean.Widget.addInteractiveHypothesisBundle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveGoal.lean#L116-L130","name":"Lean.Widget.addInteractiveHypothesisBundle","line":116,"kind":"def","docLink":"./Lean/Widget/InteractiveGoal.html#Lean.Widget.addInteractiveHypothesisBundle","doc":"Extend an array of hypothesis bundles with another bundle. "},"Lean.Widget.addDiffTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/Diff.lean#L192-L194","name":"Lean.Widget.addDiffTags","line":192,"kind":"def","docLink":"./Lean/Widget/Diff.html#Lean.Widget.addDiffTags","doc":"Given a `diff` between `before` and `after : Expr`, and the rendered `infoAfter : CodeWithInfos` for `after`,\nthis function decorates `infoAfter` with tags indicating where the expression has changed.\n\nIf `useAfter == false` before and after are swapped. "},"Lean.Widget.WidgetSource.sourcetext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L25-L25","name":"Lean.Widget.WidgetSource.sourcetext","line":25,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.sourcetext","doc":"Sourcetext of the code to run."},"Lean.Widget.WidgetSource.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.WidgetSource.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource.mk","doc":""},"Lean.Widget.WidgetSource":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L23-L26","name":"Lean.Widget.WidgetSource","line":23,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.WidgetSource","doc":"A custom piece of code that is run on the editor client.\n\nThe editor can use the `Lean.Widget.getWidgetSource` RPC method to\nget this object.\n\nSee the [manual entry](doc/widgets.md) above this declaration for more information on\nhow to use the widgets system.\n\n"},"Lean.Widget.UserWidgetInstance.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L132-L132","name":"Lean.Widget.UserWidgetInstance.range?","line":132,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.range?","doc":"The location of the widget instance in the Lean file. "},"Lean.Widget.UserWidgetInstance.props":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L130-L130","name":"Lean.Widget.UserWidgetInstance.props","line":130,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.props","doc":"Arguments to be fed to the widget's main component. "},"Lean.Widget.UserWidgetInstance.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetInstance.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance.mk","doc":""},"Lean.Widget.UserWidgetInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L128-L133","name":"Lean.Widget.UserWidgetInstance","line":128,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetInstance","doc":"UserWidget accompanied by component props. "},"Lean.Widget.UserWidgetDefinition.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L40-L40","name":"Lean.Widget.UserWidgetDefinition.name","line":40,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.name","doc":"Pretty name of user widget to display to the user. "},"Lean.Widget.UserWidgetDefinition.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidgetDefinition.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.mk","doc":""},"Lean.Widget.UserWidgetDefinition.javascript":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L42-L42","name":"Lean.Widget.UserWidgetDefinition.javascript","line":42,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition.javascript","doc":"An ESmodule that exports a react component to render. "},"Lean.Widget.UserWidgetDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L38-L43","name":"Lean.Widget.UserWidgetDefinition","line":38,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidgetDefinition","doc":"Use this structure and the `@[widget]` attribute to define your own widgets.\n\n```lean\n@[widget]\ndef rubiks : UserWidgetDefinition :=\n { name := \"Rubiks cube app\"\n javascript := include_str ...\n }\n```\n"},"Lean.Widget.UserWidget.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L48-L48","name":"Lean.Widget.UserWidget.name","line":48,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.name","doc":"Pretty name of widget to display to the user."},"Lean.Widget.UserWidget.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L1-L1","name":"Lean.Widget.UserWidget.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.mk","doc":""},"Lean.Widget.UserWidget.javascriptHash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L49-L49","name":"Lean.Widget.UserWidget.javascriptHash","line":49,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.javascriptHash","doc":""},"Lean.Widget.UserWidget.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L46-L46","name":"Lean.Widget.UserWidget.id","line":46,"kind":"def","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget.id","doc":""},"Lean.Widget.UserWidget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/UserWidget.lean#L45-L50","name":"Lean.Widget.UserWidget","line":45,"kind":"structure","docLink":"./Lean/Widget/UserWidget.html#Lean.Widget.UserWidget","doc":""},"Lean.Widget.TaggedText.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L17-L17","name":"Lean.Widget.TaggedText.text","line":17,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.text","doc":""},"Lean.Widget.TaggedText.tag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L23-L23","name":"Lean.Widget.TaggedText.tag","line":23,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.tag","doc":""},"Lean.Widget.TaggedText.stripTags.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L95-L100","name":"Lean.Widget.TaggedText.stripTags.go","line":95,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags.go","doc":""},"Lean.Widget.TaggedText.stripTags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L93-L100","name":"Lean.Widget.TaggedText.stripTags","line":93,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.stripTags","doc":"Remove tags, leaving just the pretty-printed string. "},"Lean.Widget.TaggedText.rewriteM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L61-L64","name":"Lean.Widget.TaggedText.rewriteM","line":61,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewriteM","doc":"Like `mapM` but allows rewriting the whole subtree at `tag` nodes. "},"Lean.Widget.TaggedText.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L54-L57","name":"Lean.Widget.TaggedText.rewrite","line":54,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.rewrite","doc":""},"Lean.Widget.TaggedText.prettyTagged":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L89-L90","name":"Lean.Widget.TaggedText.prettyTagged","line":89,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.prettyTagged","doc":"The output is tagged with `(tag, indent)` where `tag` is from the input `Format` and `indent`\nis the indentation level at this point. The latter is used to print sub-trees accurately by passing\nit again as the `indent` argument. "},"Lean.Widget.TaggedText.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L48-L51","name":"Lean.Widget.TaggedText.mapM","line":48,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.mapM","doc":""},"Lean.Widget.TaggedText.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L42-L45","name":"Lean.Widget.TaggedText.map","line":42,"kind":"opaque","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.map","doc":""},"Lean.Widget.TaggedText.instRpcEncodableTaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L66-L68","name":"Lean.Widget.TaggedText.instRpcEncodableTaggedText","line":66,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instRpcEncodableTaggedText","doc":""},"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L76-L84","name":"Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","line":76,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instMonadPrettyFormatStateMTaggedState","doc":""},"Lean.Widget.TaggedText.instInhabitedTaggedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L74-L74","name":"Lean.Widget.TaggedText.instInhabitedTaggedState","line":74,"kind":"instance","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.instInhabitedTaggedState","doc":""},"Lean.Widget.TaggedText.appendText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L28-L33","name":"Lean.Widget.TaggedText.appendText","line":28,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendText","doc":""},"Lean.Widget.TaggedText.appendTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L35-L39","name":"Lean.Widget.TaggedText.appendTag","line":35,"kind":"def","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.appendTag","doc":""},"Lean.Widget.TaggedText.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L18-L22","name":"Lean.Widget.TaggedText.append","line":18,"kind":"ctor","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText.append","doc":"Invariants:\n- non-empty\n- no adjacent `text` elements (they should be collapsed)\n- no directly nested `append`s (but `append #[tag _ (append ..)]` is okay) "},"Lean.Widget.TaggedText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/TaggedText.lean#L16-L24","name":"Lean.Widget.TaggedText","line":16,"kind":"inductive","docLink":"./Lean/Widget/TaggedText.html#Lean.Widget.TaggedText","doc":"The minimal structure needed to represent \"string with interesting (tagged) substrings\".\nMuch like Lean 3 [`sf`](https://github.com/leanprover-community/mathlib/blob/bfa6bbbce69149792cc009ab7f9bc146181dc051/src/tactic/interactive_expr.lean#L38),\nbut with indentation already stringified. "},"Lean.Widget.SubexprInfo.withDiffTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L57-L58","name":"Lean.Widget.SubexprInfo.withDiffTag","line":57,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.withDiffTag","doc":""},"Lean.Widget.SubexprInfo.subexprPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L34-L34","name":"Lean.Widget.SubexprInfo.subexprPos","line":34,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.subexprPos","doc":"The position of this subexpression within the top-level expression. See `Lean.SubExpr`. "},"Lean.Widget.SubexprInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L1-L1","name":"Lean.Widget.SubexprInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.mk","doc":""},"Lean.Widget.SubexprInfo.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L32-L32","name":"Lean.Widget.SubexprInfo.info","line":32,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.info","doc":"The `Elab.Info` node with the semantics of this part of the output. "},"Lean.Widget.SubexprInfo.diffStatus?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L40-L40","name":"Lean.Widget.SubexprInfo.diffStatus?","line":40,"kind":"def","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo.diffStatus?","doc":"In certain situations such as when goal states change between positions in a tactic-mode proof,\nwe can show subexpression-level diffs between two expressions. This field asks the renderer to\ndisplay the subexpression as in a diff view (e.g. red/green like `git diff`). "},"Lean.Widget.SubexprInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Widget/InteractiveCode.lean#L30-L41","name":"Lean.Widget.SubexprInfo","line":30,"kind":"structure","docLink":"./Lean/Widget/InteractiveCode.html#Lean.Widget.SubexprInfo","doc":"Information about a subexpression within delaborated code. 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"},"Lean.SyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3575-L3575","name":"Lean.SyntaxNodeKind","line":3575,"kind":"def","docLink":"./Init/Prelude.html#Lean.SyntaxNodeKind","doc":"A `SyntaxNodeKind` classifies `Syntax.node` values. It is an abbreviation for\n`Name`, and you can use name literals to construct `SyntaxNodeKind`s, but\nthey need not refer to declarations in the environment. 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"},"Lean.Syntax.unsetTrailing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L398-L401","name":"Lean.Syntax.unsetTrailing","line":398,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.unsetTrailing","doc":""},"Lean.Syntax.unescapeAntiquot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L434-L438","name":"Lean.Syntax.unescapeAntiquot","line":434,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.unescapeAntiquot","doc":""},"Lean.Syntax.topDown":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L249-L249","name":"Lean.Syntax.topDown","line":249,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.topDown","doc":"`for _ in stx.topDown` iterates through each node and leaf in `stx` top-down, left-to-right.\nIf `firstChoiceOnly` is `true`, only visit the first argument of each choice node.\n"},"Lean.Syntax.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L749-L752","name":"Lean.Syntax.toNat","line":749,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.toNat","doc":""},"Lean.Syntax.structEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L335-L340","name":"Lean.Syntax.structEq","line":335,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.structEq","doc":"Compare syntax structures modulo source info. "},"Lean.Syntax.splitNameLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L837-L838","name":"Lean.Syntax.splitNameLit","line":837,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.splitNameLit","doc":"Split a name literal (without the backtick) into its dot-separated components. For example,\n`foo.bla.«bo.o»` ↦ `[\"foo\", \"bla\", \"«bo.o»\"]`. If the literal cannot be parsed, return `[]`. "},"Lean.Syntax.setTailInfoAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L384-L391","name":"Lean.Syntax.setTailInfoAux","line":384,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfoAux","doc":""},"Lean.Syntax.setTailInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L393-L396","name":"Lean.Syntax.setTailInfo","line":393,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setTailInfo","doc":""},"Lean.Syntax.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3775-L3778","name":"Lean.Syntax.setKind","line":3775,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setKind","doc":"Changes the kind at the root of a `Syntax` node to `k`.\nDoes nothing for non-`node` nodes.\n"},"Lean.Syntax.setInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L426-L430","name":"Lean.Syntax.setInfo","line":426,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setInfo","doc":""},"Lean.Syntax.setHeadInfoAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L412-L419","name":"Lean.Syntax.setHeadInfoAux","line":412,"kind":"opaque","docLink":"./Init/Meta.html#Lean.Syntax.setHeadInfoAux","doc":""},"Lean.Syntax.setHeadInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L421-L424","name":"Lean.Syntax.setHeadInfo","line":421,"kind":"def","docLink":"./Init/Meta.html#Lean.Syntax.setHeadInfo","doc":""},"Lean.Syntax.setAtomVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Syntax.lean#L84-L86","name":"Lean.Syntax.setAtomVal","line":84,"kind":"def","docLink":"./Lean/Syntax.html#Lean.Syntax.setAtomVal","doc":""},"Lean.Syntax.setArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3842-L3845","name":"Lean.Syntax.setArgs","line":3842,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setArgs","doc":"Updates the argument list without changing the node kind.\nDoes nothing for non-`node` nodes.\n"},"Lean.Syntax.setArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3851-L3854","name":"Lean.Syntax.setArg","line":3851,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.setArg","doc":"Updates the `i`'th argument of the syntax.\nDoes nothing for non-`node` nodes, or if `i` is out of bounds of the node 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syntax node with 8 children "},"Lean.Syntax.node7":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3655-L3656","name":"Lean.Syntax.node7","line":3655,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node7","doc":"Create syntax node with 7 children "},"Lean.Syntax.node6":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3651-L3652","name":"Lean.Syntax.node6","line":3651,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node6","doc":"Create syntax node with 6 children "},"Lean.Syntax.node5":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3647-L3648","name":"Lean.Syntax.node5","line":3647,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node5","doc":"Create syntax node with 5 children "},"Lean.Syntax.node4":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3643-L3644","name":"Lean.Syntax.node4","line":3643,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node4","doc":"Create syntax node with 4 children "},"Lean.Syntax.node3":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3639-L3640","name":"Lean.Syntax.node3","line":3639,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node3","doc":"Create syntax node with 3 children "},"Lean.Syntax.node2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3635-L3636","name":"Lean.Syntax.node2","line":3635,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node2","doc":"Create syntax node with 2 children "},"Lean.Syntax.node1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3631-L3632","name":"Lean.Syntax.node1","line":3631,"kind":"def","docLink":"./Init/Prelude.html#Lean.Syntax.node1","doc":"Create syntax node with 1 child "},"Lean.Syntax.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3598-L3616","name":"Lean.Syntax.node","line":3598,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Syntax.node","doc":"Node in the syntax tree.\n\nThe `info` field is used by the delaborator to store the position of the\nsubexpression corresponding to this node. The parser sets the `info` field\nto `none`.\nThe parser sets the `info` field to `none`, with position retrieval continuing recursively.\nNodes created by quotations use the result from `SourceInfo.fromRef` so that they are marked\nas synthetic even when the leading/trailing token is not.\nThe delaborator uses the `info` field to store the position of the subexpression\ncorresponding to this node.\n\n(Remark: the `node` constructor did not have an `info` field in previous\nversions. This caused a bug in the interactive widgets, where the popup for\n`a + b` was the same as for `a`. The delaborator used to associate\nsubexpressions with pretty-printed syntax by setting the (string) position\nof the first atom/identifier to the (expression) position of the\nsubexpression. For example, both `a` and `a + b` have the same first\nidentifier, and so their infos got mixed up.) 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If the crash was detected while writing a packet, we queue that packet until the next packet for the file\nworker arrives. 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"},"Lean.Server.Watchdog.ServerContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L134-L145","name":"Lean.Server.Watchdog.ServerContext","line":134,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.ServerContext","doc":""},"Lean.Server.Watchdog.PendingRequestMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L96-L96","name":"Lean.Server.Watchdog.PendingRequestMap","line":96,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.PendingRequestMap","doc":""},"Lean.Server.Watchdog.FileWorkerMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L132-L132","name":"Lean.Server.Watchdog.FileWorkerMap","line":132,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorkerMap","doc":""},"Lean.Server.Watchdog.FileWorker.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L117-L118","name":"Lean.Server.Watchdog.FileWorker.stdout","line":117,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdout","doc":""},"Lean.Server.Watchdog.FileWorker.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L114-L115","name":"Lean.Server.Watchdog.FileWorker.stdin","line":114,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.stdin","doc":""},"Lean.Server.Watchdog.FileWorker.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L104-L104","name":"Lean.Server.Watchdog.FileWorker.state","line":104,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.state","doc":""},"Lean.Server.Watchdog.FileWorker.proc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L102-L102","name":"Lean.Server.Watchdog.FileWorker.proc","line":102,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.proc","doc":""},"Lean.Server.Watchdog.FileWorker.pendingRequestsRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L110-L110","name":"Lean.Server.Watchdog.FileWorker.pendingRequestsRef","line":110,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.pendingRequestsRef","doc":"The pending requests map contains all requests\nthat have been received from the LSP client, but were not answered yet.\nWe need them for forwaring cancellation requests to the correct worker as well as cleanly aborting\nrequests on worker crashes. "},"Lean.Server.Watchdog.FileWorker.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L1-L1","name":"Lean.Server.Watchdog.FileWorker.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.mk","doc":""},"Lean.Server.Watchdog.FileWorker.errorPendingRequests":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L123-L126","name":"Lean.Server.Watchdog.FileWorker.errorPendingRequests","line":123,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.errorPendingRequests","doc":""},"Lean.Server.Watchdog.FileWorker.erasePendingRequest":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L120-L121","name":"Lean.Server.Watchdog.FileWorker.erasePendingRequest","line":120,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.erasePendingRequest","doc":""},"Lean.Server.Watchdog.FileWorker.doc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L101-L101","name":"Lean.Server.Watchdog.FileWorker.doc","line":101,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.doc","doc":""},"Lean.Server.Watchdog.FileWorker.commTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L103-L103","name":"Lean.Server.Watchdog.FileWorker.commTask","line":103,"kind":"def","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker.commTask","doc":""},"Lean.Server.Watchdog.FileWorker":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Watchdog.lean#L100-L110","name":"Lean.Server.Watchdog.FileWorker","line":100,"kind":"structure","docLink":"./Lean/Server/Watchdog.html#Lean.Server.Watchdog.FileWorker","doc":""},"Lean.Server.Snapshots.server.stderrAsMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L95-L99","name":"Lean.Server.Snapshots.server.stderrAsMessages","line":95,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.server.stderrAsMessages","doc":""},"Lean.Server.Snapshots.parseNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L87-L93","name":"Lean.Server.Snapshots.parseNextCmd","line":87,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.parseNextCmd","doc":"Parses the next command occurring after the given snapshot\nwithout elaborating it. "},"Lean.Server.Snapshots.dummyTacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L24-L24","name":"Lean.Server.Snapshots.dummyTacticCache","line":24,"kind":"opaque","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.dummyTacticCache","doc":""},"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L155-L161","name":"Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","line":155,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd.withNewInteractiveDiags","doc":"Compute the current interactive diagnostics log by finding a \"diff\" relative to the parent\nsnapshot. We need to do this because unlike the `MessageLog` itself, interactive diags are not\npart of the command state. "},"Lean.Server.Snapshots.compileNextCmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L106-L161","name":"Lean.Server.Snapshots.compileNextCmd","line":106,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.compileNextCmd","doc":"Compiles the next command occurring after the given snapshot. If there is no next command\n(file ended), `Snapshot.isAtEnd` will hold of the return value. "},"Lean.Server.Snapshots.Snapshot.tacticCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L40-L40","name":"Lean.Server.Snapshots.Snapshot.tacticCache","line":40,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.tacticCache","doc":""},"Lean.Server.Snapshots.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L33-L33","name":"Lean.Server.Snapshots.Snapshot.stx","line":33,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.stx","doc":""},"Lean.Server.Snapshots.Snapshot.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L80-L81","name":"Lean.Server.Snapshots.Snapshot.runTermElabM","line":80,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runTermElabM","doc":"Run a `TermElabM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L76-L77","name":"Lean.Server.Snapshots.Snapshot.runCoreM","line":76,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCoreM","doc":"Run a `CoreM` computation using the data in the given snapshot."},"Lean.Server.Snapshots.Snapshot.runCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L66-L73","name":"Lean.Server.Snapshots.Snapshot.runCommandElabM","line":66,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.runCommandElabM","doc":"Use the command state in the given snapshot to run a `CommandElabM`."},"Lean.Server.Snapshots.Snapshot.msgLog":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L50-L51","name":"Lean.Server.Snapshots.Snapshot.msgLog","line":50,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.msgLog","doc":""},"Lean.Server.Snapshots.Snapshot.mpState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L34-L34","name":"Lean.Server.Snapshots.Snapshot.mpState","line":34,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mpState","doc":""},"Lean.Server.Snapshots.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L1-L1","name":"Lean.Server.Snapshots.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.mk","doc":""},"Lean.Server.Snapshots.Snapshot.isAtEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L61-L62","name":"Lean.Server.Snapshots.Snapshot.isAtEnd","line":61,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.isAtEnd","doc":""},"Lean.Server.Snapshots.Snapshot.interactiveDiags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L39-L39","name":"Lean.Server.Snapshots.Snapshot.interactiveDiags","line":39,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.interactiveDiags","doc":"We cache interactive diagnostics in order not to invoke the pretty-printer again on messages\nfrom previous snapshots when publishing diagnostics for every new snapshot (this is quadratic),\nas well as not to invoke it once again when handling `$/lean/interactiveDiagnostics`. "},"Lean.Server.Snapshots.Snapshot.infoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L56-L59","name":"Lean.Server.Snapshots.Snapshot.infoTree","line":56,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.infoTree","doc":""},"Lean.Server.Snapshots.Snapshot.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L47-L48","name":"Lean.Server.Snapshots.Snapshot.env","line":47,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.env","doc":""},"Lean.Server.Snapshots.Snapshot.endPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L44-L45","name":"Lean.Server.Snapshots.Snapshot.endPos","line":44,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.endPos","doc":""},"Lean.Server.Snapshots.Snapshot.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L53-L54","name":"Lean.Server.Snapshots.Snapshot.diagnostics","line":53,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.diagnostics","doc":""},"Lean.Server.Snapshots.Snapshot.cmdState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L35-L35","name":"Lean.Server.Snapshots.Snapshot.cmdState","line":35,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.cmdState","doc":""},"Lean.Server.Snapshots.Snapshot.beginPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L32-L32","name":"Lean.Server.Snapshots.Snapshot.beginPos","line":32,"kind":"def","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot.beginPos","doc":"Where the command which produced this snapshot begins. Note that\nneighbouring snapshots are *not* necessarily attached beginning-to-end,\nsince inputs outside the grammar advance the parser but do not produce\nsnapshots. "},"Lean.Server.Snapshots.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Snapshots.lean#L27-L40","name":"Lean.Server.Snapshots.Snapshot","line":27,"kind":"structure","docLink":"./Lean/Server/Snapshots.html#Lean.Server.Snapshots.Snapshot","doc":"What Lean knows about the world after the header and each command. "},"Lean.Server.RpcObjectStore.nextRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Rpc/Basic.lean#L44-L44","name":"Lean.Server.RpcObjectStore.nextRef","line":44,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.nextRef","doc":"Value to use for the next `RpcRef`. It is monotonically increasing to avoid any possible\nbugs resulting from its reuse. "},"Lean.Server.RpcObjectStore.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Rpc/Basic.lean#L1-L1","name":"Lean.Server.RpcObjectStore.mk","line":1,"kind":"ctor","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.mk","doc":""},"Lean.Server.RpcObjectStore.aliveRefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Rpc/Basic.lean#L41-L41","name":"Lean.Server.RpcObjectStore.aliveRefs","line":41,"kind":"def","docLink":"./Lean/Server/Rpc/Basic.html#Lean.Server.RpcObjectStore.aliveRefs","doc":"Objects that are being kept alive for the RPC client, together with their type names,\nmapped to by their RPC reference.\n\nNote that we may currently have multiple references to the same object. It is only disposed\nof once all of those are gone. This simplifies the client a bit as it can drop every reference\nreceived separately. 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"},"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L96-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","line":96,"kind":"instance","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.instInhabitedHoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L34-L34","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getPos","line":34,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L33-L33","name":"Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","line":33,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.getExpr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.descend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L36-L37","name":"Lean.PrettyPrinter.Delaborator.SubExpr.descend","line":36,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.descend","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L95-L95","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","line":95,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.top","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L104-L105","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","line":104,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.toPos","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L107-L110","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","line":107,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.next","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.mk","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L94-L94","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","line":94,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator.curr","doc":""},"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L93-L96","name":"Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","line":93,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.SubExpr.HoleIterator","doc":""},"Lean.PrettyPrinter.Delaborator.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.State.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.mk","doc":""},"Lean.PrettyPrinter.Delaborator.State.infos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L48-L48","name":"Lean.PrettyPrinter.Delaborator.State.infos","line":48,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.infos","doc":"We attach `Elab.Info` at various locations in the `Syntax` output in order to convey\nits semantics. While the elaborator emits `InfoTree`s, here we have no real text location tree\nto traverse, so we use a flattened map. "},"Lean.PrettyPrinter.Delaborator.State.holeIter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L50-L50","name":"Lean.PrettyPrinter.Delaborator.State.holeIter","line":50,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State.holeIter","doc":"See `SubExpr.nextExtraPos`. "},"Lean.PrettyPrinter.Delaborator.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L44-L50","name":"Lean.PrettyPrinter.Delaborator.State","line":44,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.State","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L108-L108","name":"Lean.PrettyPrinter.Delaborator.ParamKind.name","line":108,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.name","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L1-L1","name":"Lean.PrettyPrinter.Delaborator.ParamKind.mk","line":1,"kind":"ctor","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.mk","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L113-L114","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","line":113,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isRegularExplicit","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L111-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","line":111,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.isAutoParam","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.defVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L110-L110","name":"Lean.PrettyPrinter.Delaborator.ParamKind.defVal","line":110,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.defVal","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L109-L109","name":"Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","line":109,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind.bInfo","doc":""},"Lean.PrettyPrinter.Delaborator.ParamKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Builtins.lean#L107-L111","name":"Lean.PrettyPrinter.Delaborator.ParamKind","line":107,"kind":"structure","docLink":"./Lean/PrettyPrinter/Delaborator/Builtins.html#Lean.PrettyPrinter.Delaborator.ParamKind","doc":""},"Lean.PrettyPrinter.Delaborator.OptionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/SubExpr.lean#L18-L18","name":"Lean.PrettyPrinter.Delaborator.OptionsPerPos","line":18,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/SubExpr.html#Lean.PrettyPrinter.Delaborator.OptionsPerPos","doc":""},"Lean.PrettyPrinter.Delaborator.DelabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L56-L56","name":"Lean.PrettyPrinter.Delaborator.DelabM","line":56,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.DelabM","doc":""},"Lean.PrettyPrinter.Delaborator.Delab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L57-L57","name":"Lean.PrettyPrinter.Delaborator.Delab","line":57,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Delab","doc":""},"Lean.PrettyPrinter.Delaborator.Context.subExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L42-L42","name":"Lean.PrettyPrinter.Delaborator.Context.subExpr","line":42,"kind":"def","docLink":"./Lean/PrettyPrinter/Delaborator/Basic.html#Lean.PrettyPrinter.Delaborator.Context.subExpr","doc":""},"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/PrettyPrinter/Delaborator/Basic.lean#L38-L38","name":"Lean.PrettyPrinter.Delaborator.Context.optionsPerPos","lin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"},"Lean.Parser.ppHardSpace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L102-L102","name":"Lean.Parser.ppHardSpace","line":102,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardSpace","doc":"No-op parser that advises the pretty printer to emit a non-breaking space. "},"Lean.Parser.ppHardLineUnlessUngrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L144-L144","name":"Lean.Parser.ppHardLineUnlessUngrouped","line":144,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppHardLineUnlessUngrouped","doc":"No-op parser combinator that prints a line break.\nThe line break is soft if the combinator is followed\nby an ungrouped parser (see ppAllowUngrouped), otherwise hard. "},"Lean.Parser.ppGroup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L116-L116","name":"Lean.Parser.ppGroup","line":116,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppGroup","doc":"No-op parser combinator that advises the pretty printer to group and indent the given syntax.\nBy default, only syntax categories are grouped. "},"Lean.Parser.ppDedentIfGrouped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L138-L138","name":"Lean.Parser.ppDedentIfGrouped","line":138,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedentIfGrouped","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax,\nif it was grouped by the category parser.\nDedenting can in particular be used to counteract automatic indentation. "},"Lean.Parser.ppDedent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Extra.lean#L120-L120","name":"Lean.Parser.ppDedent","line":120,"kind":"def","docLink":"./Lean/Parser/Extra.html#Lean.Parser.ppDedent","doc":"No-op parser combinator that advises the pretty printer to dedent the given syntax.\nDedenting can in particular be used to counteract automatic indentation. 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"},"Lean.Parser.TokenCacheEntry.token":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L108-L108","name":"Lean.Parser.TokenCacheEntry.token","line":108,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.token","doc":""},"Lean.Parser.TokenCacheEntry.stopPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L107-L107","name":"Lean.Parser.TokenCacheEntry.stopPos","line":107,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.stopPos","doc":""},"Lean.Parser.TokenCacheEntry.startPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L106-L106","name":"Lean.Parser.TokenCacheEntry.startPos","line":106,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.startPos","doc":""},"Lean.Parser.TokenCacheEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L1-L1","name":"Lean.Parser.TokenCacheEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry.mk","doc":""},"Lean.Parser.TokenCacheEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L105-L108","name":"Lean.Parser.TokenCacheEntry","line":105,"kind":"structure","docLink":"./Lean/Parser/Types.html#Lean.Parser.TokenCacheEntry","doc":""},"Lean.Parser.Token":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L32-L32","name":"Lean.Parser.Token","line":32,"kind":"def","docLink":"./Lean/Parser/Types.html#Lean.Parser.Token","doc":""},"Lean.Parser.Term.withDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L533-L534","name":"Lean.Parser.Term.withDeclName","line":533,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.withDeclName","doc":"* `with_decl_name% id e` elaborates `e` in a context while changing the effective\n declaration name to `id`.\n* `with_decl_name% ?id e` does the same, but resolves `id` as a new definition name\n (appending the current namespaces).\n"},"Lean.Parser.Term.withAnonymousAntiquot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L371-L373","name":"Lean.Parser.Term.withAnonymousAntiquot","line":371,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.withAnonymousAntiquot","doc":""},"Lean.Parser.Term.whereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L497-L498","name":"Lean.Parser.Term.whereDecls","line":497,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.whereDecls","doc":""},"Lean.Parser.Term.waitIfTypeMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L553-L554","name":"Lean.Parser.Term.waitIfTypeMVar","line":553,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.waitIfTypeMVar","doc":""},"Lean.Parser.Term.waitIfTypeContainsMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L555-L556","name":"Lean.Parser.Term.waitIfTypeContainsMVar","line":555,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.waitIfTypeContainsMVar","doc":""},"Lean.Parser.Term.waitIfContainsMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L557-L558","name":"Lean.Parser.Term.waitIfContainsMVar","line":557,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.waitIfContainsMVar","doc":""},"Lean.Parser.Term.unreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L651-L652","name":"Lean.Parser.Term.unreachable","line":651,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.unreachable","doc":"A shorthand for `panic! \"unreachable code has been reached\"`. "},"Lean.Parser.Term.unop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L516-L517","name":"Lean.Parser.Term.unop","line":516,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.unop","doc":""},"Lean.Parser.Term.typeSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L199-L199","name":"Lean.Parser.Term.typeSpec","line":199,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeSpec","doc":""},"Lean.Parser.Term.typeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L535-L536","name":"Lean.Parser.Term.typeOf","line":535,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeOf","doc":""},"Lean.Parser.Term.typeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L138-L139","name":"Lean.Parser.Term.typeAscription","line":138,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.typeAscription","doc":"Type ascription notation: `(0 : Int)` instructs Lean to process `0` as a value of type `Int`.\nAn empty type ascription `(e :)` elaborates `e` without the expected type.\nThis is occasionally useful when Lean's heuristics for filling arguments from the expected type\ndo not yield the right result.\n"},"Lean.Parser.Term.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L109-L110","name":"Lean.Parser.Term.type","line":109,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.type","doc":"A type universe. `Type ≡ Type 0`, `Type u ≡ Sort (u + 1)`. "},"Lean.Parser.Term.tuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L141-L142","name":"Lean.Parser.Term.tuple","line":141,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.tuple","doc":"Tuple notation; `()` is short for `Unit.unit`, `(a, b, c)` for `Prod.mk a (Prod.mk b c)`, etc. "},"Lean.Parser.Term.trueVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L303-L303","name":"Lean.Parser.Term.trueVal","line":303,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trueVal","doc":""},"Lean.Parser.Term.trailing_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L376-L377","name":"Lean.Parser.Term.trailing_parser","line":376,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.trailing_parser","doc":""},"Lean.Parser.Term.termUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L206-L207","name":"Lean.Parser.Term.termUnless","line":206,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termUnless","doc":"`unless e do s` is a nicer way to write `if !e do s`. "},"Lean.Parser.Term.termTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L210-L211","name":"Lean.Parser.Term.termTry","line":210,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termTry","doc":""},"Lean.Parser.Term.termReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L216-L217","name":"Lean.Parser.Term.termReturn","line":216,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termReturn","doc":"`return` used outside of `do` blocks creates an implicit block around it\nand thus is equivalent to `pure e`, but helps with avoiding parentheses.\n"},"Lean.Parser.Term.termFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L208-L209","name":"Lean.Parser.Term.termFor","line":208,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termFor","doc":""},"Lean.Parser.Term.termBeforeDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L31-L31","name":"Lean.Parser.Term.termBeforeDo","line":31,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.termBeforeDo","doc":""},"Lean.Parser.Term.syntheticHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L120-L121","name":"Lean.Parser.Term.syntheticHole","line":120,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.syntheticHole","doc":""},"Lean.Parser.Term.sufficesDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L168-L169","name":"Lean.Parser.Term.sufficesDecl","line":168,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sufficesDecl","doc":""},"Lean.Parser.Term.suffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L170-L171","name":"Lean.Parser.Term.suffices","line":170,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.suffices","doc":""},"Lean.Parser.Term.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L634-L635","name":"Lean.Parser.Term.subst","line":634,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.subst","doc":"`h ▸ e` is a macro built on top of `Eq.rec` and `Eq.symm` definitions.\nGiven `h : a = b` and `e : p a`, the term `h ▸ e` has type `p b`.\nYou can also view `h ▸ e` as a \"type casting\" operation\nwhere you change the type of `e` by using `h`.\nSee the Chapter \"Quantifiers and Equality\" in the manual\n\"Theorem Proving in Lean\" for additional information.\n"},"Lean.Parser.Term.structInstLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L175-L177","name":"Lean.Parser.Term.structInstLVal","line":175,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstLVal","doc":""},"Lean.Parser.Term.structInstFieldAbbrev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L180-L182","name":"Lean.Parser.Term.structInstFieldAbbrev","line":180,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstFieldAbbrev","doc":""},"Lean.Parser.Term.structInstField":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L178-L179","name":"Lean.Parser.Term.structInstField","line":178,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstField","doc":""},"Lean.Parser.Term.structInstArrayRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L173-L174","name":"Lean.Parser.Term.structInstArrayRef","line":173,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInstArrayRef","doc":""},"Lean.Parser.Term.structInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L194-L198","name":"Lean.Parser.Term.structInst","line":194,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.structInst","doc":"Structure instance. `{ x := e, ... }` assigns `e` to field `x`, which may be\ninherited. If `e` is itself a variable called `x`, it can be elided:\n`fun y => { x := 1, y }`.\nA *structure update* of an existing value can be given via `with`:\n`{ point with x := 1 }`.\nThe structure type can be specified if not inferable:\n`{ x := 1, y := 2 : Point }`.\n"},"Lean.Parser.Term.strictImplicitRightBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L239-L239","name":"Lean.Parser.Term.strictImplicitRightBracket","line":239,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitRightBracket","doc":""},"Lean.Parser.Term.strictImplicitLeftBracket":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L238-L238","name":"Lean.Parser.Term.strictImplicitLeftBracket","line":238,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitLeftBracket","doc":""},"Lean.Parser.Term.strictImplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L245-L247","name":"Lean.Parser.Term.strictImplicitBinder","line":245,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.strictImplicitBinder","doc":"Strict-implicit binder. In contrast to `{ ... }` regular implicit binders,\na strict-implicit binder is inserted automatically only when at least one subsequent\nexplicit parameter is specified.\n"},"Lean.Parser.Term.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L104-L105","name":"Lean.Parser.Term.str","line":104,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.str","doc":""},"Lean.Parser.Term.stateRefT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L670-L671","name":"Lean.Parser.Term.stateRefT","line":670,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.stateRefT","doc":""},"Lean.Parser.Term.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L112-L113","name":"Lean.Parser.Term.sort","line":112,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sort","doc":"A specific universe in Lean's infinite hierarchy of universes. "},"Lean.Parser.Term.sorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L124-L125","name":"Lean.Parser.Term.sorry","line":124,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.sorry","doc":"A temporary placeholder for a missing proof or value. "},"Lean.Parser.Term.showRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L167-L167","name":"Lean.Parser.Term.showRhs","line":167,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.showRhs","doc":""},"Lean.Parser.Term.show":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L172-L172","name":"Lean.Parser.Term.show","line":172,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.show","doc":""},"Lean.Parser.Term.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L309-L310","name":"Lean.Parser.Term.set_option","line":309,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.set_option","doc":"`set_option opt val in e` is like `set_option opt val` but scoped to a single term.\nIt sets the option `opt` to the value `val` in the term `e`.\n"},"Lean.Parser.Term.scoped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L480-L480","name":"Lean.Parser.Term.scoped","line":480,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scoped","doc":""},"Lean.Parser.Term.scientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L102-L103","name":"Lean.Parser.Term.scientific","line":102,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.scientific","doc":""},"Lean.Parser.Term.quotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L382-L382","name":"Lean.Parser.Term.quotedName","line":382,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.quotedName","doc":"A literal of type `Name`. "},"Lean.Parser.Term.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L13-L14","name":"Lean.Parser.Term.quot","line":13,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.quot","doc":"Syntax quotation for terms. "},"Lean.Parser.Term.prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L115-L116","name":"Lean.Parser.Term.prop","line":115,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.prop","doc":"The universe of propositions. `Prop ≡ Sort 0`. "},"Lean.Parser.Term.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L595-L596","name":"Lean.Parser.Term.proj","line":595,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.proj","doc":"The *extended field notation* `e.f` is roughly short for `T.f e` where `T` is the type of `e`.\nMore precisely,\n* if `e` is of a function type, `e.f` is translated to `Function.f (p := e)`\n where `p` is the first explicit parameter of function type\n* if `e` is of a named type `T ...` and there is a declaration `T.f` (possibly from `export`),\n `e.f` is translated to `T.f (p := e)` where `p` is the first explicit parameter of type `T ...`\n* otherwise, if `e` is of a structure type,\n the above is repeated for every base type of the structure.\n\nThe field index notation `e.i`, where `i` is a positive number,\nis short for accessing the `i`-th field (1-indexed) of `e` if it is of a structure type. "},"Lean.Parser.Term.precheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L15-L16","name":"Lean.Parser.Term.precheckedQuot","line":15,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.precheckedQuot","doc":""},"Lean.Parser.Term.pipeProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L621-L622","name":"Lean.Parser.Term.pipeProj","line":621,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeProj","doc":"`e |>.x` is a shorthand for `(e).x`.\nIt is especially useful for avoiding parentheses with repeated applications.\n"},"Lean.Parser.Term.pipeCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L623-L624","name":"Lean.Parser.Term.pipeCompletion","line":623,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.pipeCompletion","doc":""},"Lean.Parser.Term.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L152-L153","name":"Lean.Parser.Term.paren","line":152,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.paren","doc":"Parentheses, used for grouping expressions (e.g., `a * (b + c)`).\nCan also be used for creating simple functions when combined with `·`. Here are some examples:\n - `(· + 1)` is shorthand for `fun x => x + 1`\n - `(· + ·)` is shorthand for `fun x y => x + y`\n - `(f · a b)` is shorthand for `fun x => f x a b`\n - `(h (· + 1) ·)` is shorthand for `fun x => h (fun y => y + 1) x`\n - also applies to other parentheses-like notations such as `(·, 1)`\n"},"Lean.Parser.Term.panic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L648-L649","name":"Lean.Parser.Term.panic","line":648,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.panic","doc":"`panic! msg` formally evaluates to `@Inhabited.default α` if the expected type\n`α` implements `Inhabited`.\nAt runtime, `msg` and the file position are printed to stderr unless the C\nfunction `lean_set_panic_messages(false)` has been executed before. If the C\nfunction `lean_set_exit_on_panic(true)` has been executed before, the process is\nthen aborted.\n"},"Lean.Parser.Term.optType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L200-L200","name":"Lean.Parser.Term.optType","line":200,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optType","doc":""},"Lean.Parser.Term.optSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L94-L95","name":"Lean.Parser.Term.optSemicolon","line":94,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optSemicolon","doc":""},"Lean.Parser.Term.optIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L163-L164","name":"Lean.Parser.Term.optIdent","line":163,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optIdent","doc":""},"Lean.Parser.Term.optExprPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L370-L370","name":"Lean.Parser.Term.optExprPrecedence","line":370,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optExprPrecedence","doc":""},"Lean.Parser.Term.optEllipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L183-L184","name":"Lean.Parser.Term.optEllipsis","line":183,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.optEllipsis","doc":""},"Lean.Parser.Term.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L302-L303","name":"Lean.Parser.Term.open","line":302,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Term.open","doc":"`open Foo in e` is like `open Foo` but scoped to a single term.\nIt makes the given namespaces available in the term `e`.\n"},"Lean.Parser.Term.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L100-L101","name":"Lean.Parser.Term.num","line":100,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.num","doc":""},"Lean.Parser.Term.notFollowedByRedefinedTermToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L39-L46","name":"Lean.Parser.Term.notFollowedByRedefinedTermToken","line":39,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.notFollowedByRedefinedTermToken","doc":""},"Lean.Parser.Term.nomatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L351-L351","name":"Lean.Parser.Term.nomatch","line":351,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.nomatch","doc":"Empty match/ex falso. `nomatch e` is of arbitrary type `α : Sort u` if\nLean can show that an empty set of patterns is exhaustive given `e`'s type,\ne.g. because it has no constructors.\n"},"Lean.Parser.Term.noindex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L504-L505","name":"Lean.Parser.Term.noindex","line":504,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noindex","doc":""},"Lean.Parser.Term.noImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L541-L542","name":"Lean.Parser.Term.noImplicitLambda","line":541,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noImplicitLambda","doc":""},"Lean.Parser.Term.noErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L567-L568","name":"Lean.Parser.Term.noErrorIfUnused","line":567,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.noErrorIfUnused","doc":"Helper parser for marking `match`-alternatives that should not trigger errors if unused.\nWe use them to implement `macro_rules` and `elab_rules`\n"},"Lean.Parser.Term.namedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L612-L615","name":"Lean.Parser.Term.namedPattern","line":612,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedPattern","doc":"`x@e` matches the pattern `e` and binds its value to the identifier `x`. "},"Lean.Parser.Term.namedArgument":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L570-L571","name":"Lean.Parser.Term.namedArgument","line":570,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.namedArgument","doc":""},"Lean.Parser.Term.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L309-L311","name":"Lean.Parser.Term.motive","line":309,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.motive","doc":""},"Lean.Parser.Term.matchDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L300-L301","name":"Lean.Parser.Term.matchDiscr","line":300,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchDiscr","doc":""},"Lean.Parser.Term.matchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L501-L502","name":"Lean.Parser.Term.matchAltsWhereDecls","line":501,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltsWhereDecls","doc":""},"Lean.Parser.Term.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L297-L298","name":"Lean.Parser.Term.matchAlts","line":297,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlts","doc":""},"Lean.Parser.Term.matchAltExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L292-L292","name":"Lean.Parser.Term.matchAltExpr","line":292,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAltExpr","doc":"Useful for syntax quotations. Note that generic patterns such as `` `(matchAltExpr| | ... => $rhs) `` should also\nwork with other `rhsParser`s (of arity 1). "},"Lean.Parser.Term.matchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L283-L288","name":"Lean.Parser.Term.matchAlt","line":283,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.matchAlt","doc":""},"Lean.Parser.Term.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L343-L345","name":"Lean.Parser.Term.match","line":343,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.match","doc":"Pattern matching. `match e, ... with | p, ... => f | ...` matches each given\nterm `e` against each pattern `p` of a match alternative. When all patterns\nof an alternative match, the `match` term evaluates to the value of the\ncorresponding right-hand side `f` with the pattern variables bound to the\nrespective matched values.\nWhen not constructing a proof, `match` does not automatically substitute variables\nmatched on in dependent variables' types. Use `match (generalizing := true) ...` to\nenforce this.\n\nSyntax quotations can also be used in a pattern match.\nThis matches a `Syntax` value against quotations, pattern variables, or `_`.\n\nQuoted identifiers only match identical identifiers - custom matching such as by the preresolved\nnames only should be done explicitly.\n\n`Syntax.atom`s are ignored during matching by default except when part of a built-in literal.\nFor users introducing new atoms, we recommend wrapping them in dedicated syntax kinds if they\nshould participate in matching.\nFor example, in\n```lean\nsyntax \"c\" (\"foo\" <|> \"bar\") ...\n```\n`foo` and `bar` are indistinguishable during matching, but in\n```lean\nsyntax foo := \"foo\"\nsyntax \"c\" (foo <|> \"bar\") ...\n```\nthey are not.\n"},"Lean.Parser.Term.macroLastArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L667-L667","name":"Lean.Parser.Term.macroLastArg","line":667,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroLastArg","doc":""},"Lean.Parser.Term.macroDollarArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L666-L666","name":"Lean.Parser.Term.macroDollarArg","line":666,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroDollarArg","doc":""},"Lean.Parser.Term.macroArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L665-L665","name":"Lean.Parser.Term.macroArg","line":665,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.macroArg","doc":""},"Lean.Parser.Term.local":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L481-L481","name":"Lean.Parser.Term.local","line":481,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.local","doc":""},"Lean.Parser.Term.liftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L19-L20","name":"Lean.Parser.Term.liftMethod","line":19,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.liftMethod","doc":""},"Lean.Parser.Term.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L492-L494","name":"Lean.Parser.Term.letrec","line":492,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letrec","doc":""},"Lean.Parser.Term.let_tmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L466-L467","name":"Lean.Parser.Term.let_tmp","line":466,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_tmp","doc":"`let`-declaration that is only included in the elaborated term if variable is still there.\nIt is often used when building macros.\n"},"Lean.Parser.Term.let_fun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L455-L456","name":"Lean.Parser.Term.let_fun","line":455,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_fun","doc":"`let_fun x := v; b` is syntax sugar for `(fun x => b) v`.\nIt is very similar to `let x := v; b`, but they are not equivalent.\nIn `let_fun`, the value `v` has been abstracted away and cannot be accessed in `b`.\n"},"Lean.Parser.Term.let_delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L460-L461","name":"Lean.Parser.Term.let_delayed","line":460,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let_delayed","doc":"`let_delayed x := v; b` is similar to `let x := v; b`, but `b` is elaborated before `v`.\n"},"Lean.Parser.Term.letRecDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L489-L490","name":"Lean.Parser.Term.letRecDecls","line":489,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecls","doc":""},"Lean.Parser.Term.letRecDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L487-L488","name":"Lean.Parser.Term.letRecDecl","line":487,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letRecDecl","doc":""},"Lean.Parser.Term.letPatDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L402-L403","name":"Lean.Parser.Term.letPatDecl","line":402,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letPatDecl","doc":""},"Lean.Parser.Term.letMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L551-L552","name":"Lean.Parser.Term.letMVar","line":551,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letMVar","doc":""},"Lean.Parser.Term.letIdLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L396-L399","name":"Lean.Parser.Term.letIdLhs","line":396,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdLhs","doc":""},"Lean.Parser.Term.letIdDeclNoBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L67-L68","name":"Lean.Parser.Term.letIdDeclNoBinders","line":67,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.letIdDeclNoBinders","doc":""},"Lean.Parser.Term.letIdDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L400-L401","name":"Lean.Parser.Term.letIdDecl","line":400,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdDecl","doc":""},"Lean.Parser.Term.letIdBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L392-L394","name":"Lean.Parser.Term.letIdBinder","line":392,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letIdBinder","doc":""},"Lean.Parser.Term.letEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L420-L421","name":"Lean.Parser.Term.letEqnsDecl","line":420,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letEqnsDecl","doc":""},"Lean.Parser.Term.letDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L424-L426","name":"Lean.Parser.Term.letDecl","line":424,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.letDecl","doc":""},"Lean.Parser.Term.let":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L448-L449","name":"Lean.Parser.Term.let","line":448,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.let","doc":"`let` is used to declare a local definition. Example:\n```\nlet x := 1\nlet y := x + 1\nx + y\n```\nSince functions are first class citizens in Lean, you can use `let` to declare\nlocal functions too.\n```\nlet double := fun x => 2*x\ndouble (double 3)\n```\nFor recursive definitions, you should use `let rec`.\nYou can also perform pattern matching using `let`. For example,\nassume `p` has type `Nat × Nat`, then you can write\n```\nlet (x, y) := p\nx + y\n```\n"},"Lean.Parser.Term.leftArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L18-L18","name":"Lean.Parser.Term.leftArrow","line":18,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.leftArrow","doc":""},"Lean.Parser.Term.leading_parser":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L374-L375","name":"Lean.Parser.Term.leading_parser","line":374,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.leading_parser","doc":""},"Lean.Parser.Term.isIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L602-L604","name":"Lean.Parser.Term.isIdent","line":602,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.isIdent","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L638-L638","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","line":638,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil_1","doc":""},"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L294-L295","name":"Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","line":294,"kind":"instance","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instCoeTSyntaxConsSyntaxNodeKindMkStr4Nil","doc":""},"Lean.Parser.Term.instBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L252-L253","name":"Lean.Parser.Term.instBinder","line":252,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.instBinder","doc":"Instance-implicit binder. 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"},"Lean.Parser.Term.doAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L171-L172","name":"Lean.Parser.Term.doAssert","line":171,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.doAssert","doc":""},"Lean.Parser.Term.do":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Do.lean#L197-L198","name":"Lean.Parser.Term.do","line":197,"kind":"def","docLink":"./Lean/Parser/Do.html#Lean.Parser.Term.do","doc":""},"Lean.Parser.Term.depArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L274-L275","name":"Lean.Parser.Term.depArrow","line":274,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.depArrow","doc":""},"Lean.Parser.Term.defaultOrOfNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L560-L561","name":"Lean.Parser.Term.defaultOrOfNonempty","line":560,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.defaultOrOfNonempty","doc":""},"Lean.Parser.Term.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L525-L525","name":"Lean.Parser.Term.declName","line":525,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.declName","doc":"A macro which evaluates to the name of the currently elaborating declaration. "},"Lean.Parser.Term.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L657-L659","name":"Lean.Parser.Term.dbgTrace","line":657,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.dbgTrace","doc":"`dbg_trace e; body` evaluates to `body` and prints `e` (which can be an\ninterpolated string literal) to stderr. It should only be used for debugging.\n"},"Lean.Parser.Term.completion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L597-L598","name":"Lean.Parser.Term.completion","line":597,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.completion","doc":""},"Lean.Parser.Term.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L548-L549","name":"Lean.Parser.Term.clear","line":548,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.clear","doc":"`clear% x; e` elaborates `x` after clearing the free variable `x` from the local context.\nIf `x` cannot be cleared (due to dependencies), it will keep `x` without failing.\n"},"Lean.Parser.Term.char":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L106-L107","name":"Lean.Parser.Term.char","line":106,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.char","doc":""},"Lean.Parser.Term.cdot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L130-L131","name":"Lean.Parser.Term.cdot","line":130,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.cdot","doc":"A placeholder for an implicit lambda abstraction's variable. The lambda abstraction is scoped to the surrounding parentheses.\nFor example, `(· + ·)` is equivalent to `fun x y => x + y`.\n"},"Lean.Parser.Term.byTactic'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L90-L91","name":"Lean.Parser.Term.byTactic'","line":90,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic'","doc":""},"Lean.Parser.Term.byTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L81-L82","name":"Lean.Parser.Term.byTactic","line":81,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.byTactic","doc":"`by tac` constructs a term of the expected type by running the tactic(s) `tac`. "},"Lean.Parser.Term.bracketedBinderF":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L637-L637","name":"Lean.Parser.Term.bracketedBinderF","line":637,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinderF","doc":""},"Lean.Parser.Term.bracketedBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L254-L257","name":"Lean.Parser.Term.bracketedBinder","line":254,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.bracketedBinder","doc":""},"Lean.Parser.Term.borrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L379-L380","name":"Lean.Parser.Term.borrowed","line":379,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.borrowed","doc":""},"Lean.Parser.Term.binrel_no_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L510-L511","name":"Lean.Parser.Term.binrel_no_prop","line":510,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel_no_prop","doc":"Similar to `binrel`, but coerce `Prop` arguments into `Bool`. "},"Lean.Parser.Term.binrel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L507-L508","name":"Lean.Parser.Term.binrel","line":507,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binrel","doc":""},"Lean.Parser.Term.binop_lazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L514-L515","name":"Lean.Parser.Term.binop_lazy","line":514,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop_lazy","doc":""},"Lean.Parser.Term.binop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L512-L513","name":"Lean.Parser.Term.binop","line":512,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binop","doc":""},"Lean.Parser.Term.binderType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L213-L214","name":"Lean.Parser.Term.binderType","line":213,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderType","doc":""},"Lean.Parser.Term.binderTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L215-L216","name":"Lean.Parser.Term.binderTactic","line":215,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderTactic","doc":""},"Lean.Parser.Term.binderIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L122-L122","name":"Lean.Parser.Term.binderIdent","line":122,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderIdent","doc":""},"Lean.Parser.Term.binderDefault.parenthesizer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L221-L228","name":"Lean.Parser.Term.binderDefault.parenthesizer","line":221,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault.parenthesizer","doc":""},"Lean.Parser.Term.binderDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L217-L218","name":"Lean.Parser.Term.binderDefault","line":217,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.binderDefault","doc":""},"Lean.Parser.Term.basicFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L365-L366","name":"Lean.Parser.Term.basicFun","line":365,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.basicFun","doc":""},"Lean.Parser.Term.attributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L485-L486","name":"Lean.Parser.Term.attributes","line":485,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attributes","doc":""},"Lean.Parser.Term.attrKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L482-L482","name":"Lean.Parser.Term.attrKind","line":482,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrKind","doc":""},"Lean.Parser.Term.attrInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L483-L483","name":"Lean.Parser.Term.attrInstance","line":483,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.attrInstance","doc":""},"Lean.Parser.Term.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L661-L662","name":"Lean.Parser.Term.assert","line":661,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.assert","doc":"`assert! cond` panics if `cond` evaluates to `false`. "},"Lean.Parser.Term.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L599-L600","name":"Lean.Parser.Term.arrow","line":599,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.arrow","doc":""},"Lean.Parser.Term.argument":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L574-L577","name":"Lean.Parser.Term.argument","line":574,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.argument","doc":""},"Lean.Parser.Term.app":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L581-L581","name":"Lean.Parser.Term.app","line":581,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.app","doc":""},"Lean.Parser.Term.anonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L161-L162","name":"Lean.Parser.Term.anonymousCtor","line":161,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Term.anonymousCtor","doc":"The *anonymous constructor* `⟨e, ...⟩` is equivalent to `c e ...` if the\nexpected type is an inductive type with a single constructor `c`.\nIf more terms are given than `c` has parameters, the remaining arguments\nare turned into a new anonymous constructor application. For example,\n`⟨a, b, c⟩ : α × (β × γ)` is equivalent to `⟨a, ⟨b, c⟩⟩`.\n"},"Lean.Parser.Tactic.«tactic_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L245-L250","name":"Lean.Parser.Tactic.«tactic_<;>_»","line":245,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tactic_<;>_»","doc":"`tac <;> tac'` runs `tac` on the main goal and `tac'` on each produced goal,\nconcatenating all goals produced by `tac'`.\n"},"Lean.Parser.Tactic.«tacticNext_=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L165-L165","name":"Lean.Parser.Tactic.«tacticNext_=>_»","line":165,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticNext_=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.«tacticHave'_:=_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L514-L514","name":"Lean.Parser.Tactic.«tacticHave'_:=_»","line":514,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticHave'_:=_»","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.«tacticExists_,,»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L730-L731","name":"Lean.Parser.Tactic.«tacticExists_,,»","line":730,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.«tacticExists_,,»","doc":"`exists e₁, e₂, ...` is shorthand for `refine ⟨e₁, e₂, ...⟩; try trivial`.\nIt is useful for existential goals.\n"},"Lean.Parser.Tactic.withUnfoldingAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L216-L220","name":"Lean.Parser.Tactic.withUnfoldingAll","line":216,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withUnfoldingAll","doc":"`with_unfolding_all tacs` excutes `tacs` using the `.all` transparency setting.\nIn this setting all definitions that are not opaque are unfolded.\n"},"Lean.Parser.Tactic.withReducibleAndInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L210-L214","name":"Lean.Parser.Tactic.withReducibleAndInstances","line":210,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducibleAndInstances","doc":"`with_reducible_and_instances tacs` excutes `tacs` using the `.instances` transparency setting.\nIn this setting only definitions tagged as `[reducible]` or type class instances are unfolded.\n"},"Lean.Parser.Tactic.withReducible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L204-L208","name":"Lean.Parser.Tactic.withReducible","line":204,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withReducible","doc":"`with_reducible tacs` excutes `tacs` using the reducible transparency setting.\nIn this setting only definitions tagged as `[reducible]` are unfolded.\n"},"Lean.Parser.Tactic.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L11-L16","name":"Lean.Parser.Tactic.withAnnotateState","line":11,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L22-L23","name":"Lean.Parser.Tactic.unknown","line":22,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.unknown","doc":""},"Lean.Parser.Tactic.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L453-L461","name":"Lean.Parser.Tactic.unfold","line":453,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.unfold","doc":"* `unfold id` unfolds definition `id`.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\n\nFor non-recursive definitions, this tactic is identical to `delta`.\nFor definitions by pattern matching, it uses \"equation lemmas\" which are\nautogenerated for each match arm.\n"},"Lean.Parser.Tactic.traceState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L188-L189","name":"Lean.Parser.Tactic.traceState","line":188,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceState","doc":"`trace_state` displays the current state in the info view. "},"Lean.Parser.Tactic.traceMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L191-L192","name":"Lean.Parser.Tactic.traceMessage","line":191,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.traceMessage","doc":"`trace msg` displays `msg` in the info view. "},"Lean.Parser.Tactic.tacticUnhygienic_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L690-L690","name":"Lean.Parser.Tactic.tacticUnhygienic_","line":690,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticUnhygienic_","doc":"`unhygienic tacs` runs `tacs` with name hygiene disabled.\nThis means that tactics that would normally create inaccessible names will instead\nmake regular variables. **Warning**: Tactics may change their variable naming\nstrategies at any time, so code that depends on autogenerated names is brittle.\nUsers should try not to use `unhygienic` if possible.\n```\nexample : ∀ x : Nat, x = x := by unhygienic\n intro -- x would normally be intro'd as inaccessible\n exact Eq.refl x -- refer to x\n```\n"},"Lean.Parser.Tactic.tacticTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L239-L239","name":"Lean.Parser.Tactic.tacticTry_","line":239,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.tacticTrivial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L618-L626","name":"Lean.Parser.Tactic.tacticTrivial","line":618,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticTrivial","doc":"`trivial` tries different simple tactics (e.g., `rfl`, `contradiction`, ...)\nto close the current goal.\nYou can use the command `macro_rules` to extend the set of tactics used. Example:\n```\nmacro_rules | `(tactic| trivial) => `(tactic| simp)\n```\n"},"Lean.Parser.Tactic.tacticSuffices_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L488-L488","name":"Lean.Parser.Tactic.tacticSuffices_","line":488,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSuffices_","doc":"Given a main goal `ctx ⊢ t`, `suffices h : t' from e` replaces the main goal with `ctx ⊢ t'`,\n`e` must have type `t` in the context `ctx, h : t'`.\n\nThe variant `suffices h : t' by tac` is a shorthand for `suffices h : t' from by tac`.\nIf `h :` is omitted, the name `this` is used.\n "},"Lean.Parser.Tactic.tacticStop_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L659-L659","name":"Lean.Parser.Tactic.tacticStop_","line":659,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticStop_","doc":"`stop` is a helper tactic for \"discarding\" the rest of a proof:\nit is defined as `repeat sorry`.\nIt is useful when working on the middle of a complex proofs,\nand less messy than commenting the remainder of the proof.\n"},"Lean.Parser.Tactic.tacticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L286-L286","name":"Lean.Parser.Tactic.tacticSorry","line":286,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticSorry","doc":"The `sorry` tactic closes the goal using `sorryAx`. This is intended for stubbing out incomplete\nparts of a proof while still having a syntactically correct proof skeleton. Lean will give\na warning whenever a proof uses `sorry`, so you aren't likely to miss it, but\nyou can double check if a theorem depends on `sorry` by using\n`#print axioms my_thm` and looking for `sorryAx` in the axiom list.\n"},"Lean.Parser.Tactic.tacticShow_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L502-L502","name":"Lean.Parser.Tactic.tacticShow_","line":502,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticShow_","doc":"`show t` finds the first goal whose target unifies with `t`. It makes that the main goal,\nperforms the unification, and replaces the target with the unified version of `t`.\n"},"Lean.Parser.Tactic.tacticSeqIndentGt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L64-L65","name":"Lean.Parser.Tactic.tacticSeqIndentGt","line":64,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqIndentGt","doc":"Same as [`tacticSeq`] but requires delimiter-free tactic sequence to have strict indentation.\nThe strict indentation requirement only apply to *nested* `by`s, as top-level `by`s do not have a\nposition set. "},"Lean.Parser.Tactic.tacticSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L53-L54","name":"Lean.Parser.Tactic.tacticSeqBracketed","line":53,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeqBracketed","doc":"The syntax `{ tacs }` is an alternative syntax for `· tacs`.\nIt runs the tactics in sequence, and fails if the goal is not solved. "},"Lean.Parser.Tactic.tacticSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L49-L50","name":"Lean.Parser.Tactic.tacticSeq1Indented","line":49,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq1Indented","doc":""},"Lean.Parser.Tactic.tacticSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L58-L59","name":"Lean.Parser.Tactic.tacticSeq","line":58,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.tacticSeq","doc":"A sequence of tactics in brackets, or a delimiter-free indented sequence of tactics.\nDelimiter-free indentation is determined by the *first* tactic of the sequence. "},"Lean.Parser.Tactic.tacticRfl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L266-L266","name":"Lean.Parser.Tactic.tacticRfl'","line":266,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl'","doc":"`rfl'` is similar to `rfl`, but disables smart unfolding and unfolds all kinds of definitions,\ntheorems included (relevant for declarations defined by well-founded recursion).\n"},"Lean.Parser.Tactic.tacticRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L260-L260","name":"Lean.Parser.Tactic.tacticRfl","line":260,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRfl","doc":"`rfl` tries to close the current goal using reflexivity.\nThis is supposed to be an extensible tactic and users can add their own support\nfor new reflexive relations.\n"},"Lean.Parser.Tactic.tacticRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L609-L614","name":"Lean.Parser.Tactic.tacticRepeat_","line":609,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRepeat_","doc":"`repeat tac` repeatedly applies `tac` to the main goal until it fails.\nThat is, if `tac` produces multiple subgoals, only subgoals up to the first failure will be visited.\nThe `Std` library provides `repeat'` which repeats separately in each subgoal.\n"},"Lean.Parser.Tactic.tacticRefine_lift_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L467-L467","name":"Lean.Parser.Tactic.tacticRefine_lift_","line":467,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift_","doc":"Auxiliary macro for lifting have/suffices/let/...\nIt makes sure the \"continuation\" `?_` is the main goal after refining.\n"},"Lean.Parser.Tactic.tacticRefine_lift'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L510-L510","name":"Lean.Parser.Tactic.tacticRefine_lift'_","line":510,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticRefine_lift'_","doc":"Similar to `refine_lift`, but using `refine'` "},"Lean.Parser.Tactic.tacticLet_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L497-L497","name":"Lean.Parser.Tactic.tacticLet_","line":497,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet_","doc":"`let h : t := e` adds the hypothesis `h : t := e` to the current goal if `e` a term of type `t`.\nIf `t` is omitted, it will be inferred.\nThe variant `let pattern := e` is equivalent to `match e with | pattern => _`,\nand it is convenient for types that have only applicable constructor.\nExample: given `h : p ∧ q ∧ r`, `let ⟨h₁, h₂, h₃⟩ := h` produces the hypotheses\n`h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticLet'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L516-L516","name":"Lean.Parser.Tactic.tacticLet'_","line":516,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticLet'_","doc":"Similar to `let`, but using `refine'` "},"Lean.Parser.Tactic.tacticInfer_instance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L295-L295","name":"Lean.Parser.Tactic.tacticInfer_instance","line":295,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticInfer_instance","doc":"`infer_instance` is an abbreviation for `exact inferInstance`.\nIt synthesizes a value of any target type by typeclass inference.\n"},"Lean.Parser.Tactic.tacticHave_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L479-L479","name":"Lean.Parser.Tactic.tacticHave_","line":479,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave_","doc":"`have h : t := e` adds the hypothesis `h : t` to the current goal if `e` a term\nof type `t`.\n* If `t` is omitted, it will be inferred.\n* If `h` is omitted, the name `this` is used.\n* The variant `have pattern := e` is equivalent to `match e with | pattern => _`,\n and it is convenient for types that have only one applicable constructor.\n For example, given `h : p ∧ q ∧ r`, `have ⟨h₁, h₂, h₃⟩ := h` produces the\n hypotheses `h₁ : p`, `h₂ : q`, and `h₃ : r`.\n"},"Lean.Parser.Tactic.tacticHave'_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L512-L512","name":"Lean.Parser.Tactic.tacticHave'_","line":512,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticHave'_","doc":"Similar to `have`, but using `refine'` "},"Lean.Parser.Tactic.tacticErw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1298-L1299","name":"Lean.Parser.Tactic.tacticErw__","line":1298,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.tacticErw__","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.tacticAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L289-L289","name":"Lean.Parser.Tactic.tacticAdmit","line":289,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.tacticAdmit","doc":"`admit` is a shorthand for `exact sorry`. "},"Lean.Parser.Tactic.substVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L72-L75","name":"Lean.Parser.Tactic.substVars","line":72,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.substVars","doc":"Applies `subst` to all hypotheses of the form `h : x = t` or `h : t = x`.\n"},"Lean.Parser.Tactic.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L65-L70","name":"Lean.Parser.Tactic.subst","line":65,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.subst","doc":"`subst x...` substitutes each `x` with `e` in the goal if there is a hypothesis\nof type `x = e` or `e = x`.\nIf `x` is itself a hypothesis of type `y = e` or `e = y`, `y` is substituted instead.\n"},"Lean.Parser.Tactic.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L628-L640","name":"Lean.Parser.Tactic.split","line":628,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.split","doc":"The `split` tactic is useful for breaking nested if-then-else and `match` expressions into separate cases.\nFor a `match` expression with `n` cases, the `split` tactic generates at most `n` subgoals.\n\nFor example, given `n : Nat`, and a target `if n = 0 then Q else R`, `split` will generate\none goal with hypothesis `n = 0` and target `Q`, and a second goal with hypothesis\n`¬n = 0` and target `R`. Note that the introduced hypothesis is unnamed, and is commonly\nrenamed used the `case` or `next` tactics.\n\n- `split` will split the goal (target).\n- `split at h` will split the hypothesis `h`.\n"},"Lean.Parser.Tactic.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L661-L669","name":"Lean.Parser.Tactic.specialize","line":661,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.specialize","doc":"The tactic `specialize h a₁ ... aₙ` works on local hypothesis `h`.\nThe premises of this hypothesis, either universal quantifications or\nnon-dependent implications, are instantiated by concrete terms coming\nfrom arguments `a₁` ... `aₙ`.\nThe tactic adds a new hypothesis with the same name `h := h a₁ ... aₙ`\nand tries to clear the previous one.\n"},"Lean.Parser.Tactic.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L720-L724","name":"Lean.Parser.Tactic.sleep","line":720,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.sleep","doc":"The tactic `sleep ms` sleeps for `ms` milliseconds and does nothing.\nIt is used for debugging purposes only.\n"},"Lean.Parser.Tactic.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L182-L183","name":"Lean.Parser.Tactic.skip","line":182,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.simpStar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L406-L407","name":"Lean.Parser.Tactic.simpStar","line":406,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpStar","doc":"The simp lemma specification `*` means to rewrite with all hypotheses "},"Lean.Parser.Tactic.simpPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L393-L394","name":"Lean.Parser.Tactic.simpPre","line":393,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPre","doc":"Use this rewrite rule before entering the subterms "},"Lean.Parser.Tactic.simpPost":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L395-L396","name":"Lean.Parser.Tactic.simpPost","line":395,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpPost","doc":"Use this rewrite rule after entering the subterms "},"Lean.Parser.Tactic.simpLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L397-L403","name":"Lean.Parser.Tactic.simpLemma","line":397,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpLemma","doc":"A simp lemma specification is:\n* optional `↑` or `↓` to specify use before or after entering the subterm\n* optional `←` to use the lemma backward\n* `thm` for the theorem to rewrite with\n"},"Lean.Parser.Tactic.simpErase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L404-L405","name":"Lean.Parser.Tactic.simpErase","line":404,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpErase","doc":"An erasure specification `-thm` says to remove `thm` from the simp set "},"Lean.Parser.Tactic.simpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1324-L1327","name":"Lean.Parser.Tactic.simpAutoUnfold","line":1324,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAutoUnfold","doc":"`simp!` is shorthand for `simp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1333-L1336","name":"Lean.Parser.Tactic.simpArithAutoUnfold","line":1333,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArithAutoUnfold","doc":"`simp_arith!` is shorthand for `simp_arith` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1329-L1331","name":"Lean.Parser.Tactic.simpArith","line":1329,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpArith","doc":"`simp_arith` is shorthand for `simp` with `arith := true`.\nThis enables the use of normalization by linear arithmetic. "},"Lean.Parser.Tactic.simpAllKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1301-L1301","name":"Lean.Parser.Tactic.simpAllKind","line":1301,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllKind","doc":""},"Lean.Parser.Tactic.simpAllAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1338-L1341","name":"Lean.Parser.Tactic.simpAllAutoUnfold","line":1338,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllAutoUnfold","doc":"`simp_all!` is shorthand for `simp_all` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.simpAllArithAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1346-L1347","name":"Lean.Parser.Tactic.simpAllArithAutoUnfold","line":1346,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArithAutoUnfold","doc":"`simp_all_arith!` combines the effects of `simp_all`, `simp_arith` and `simp!`. "},"Lean.Parser.Tactic.simpAllArith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1343-L1344","name":"Lean.Parser.Tactic.simpAllArith","line":1343,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.simpAllArith","doc":"`simp_all_arith` combines the effects of `simp_all` and `simp_arith`. "},"Lean.Parser.Tactic.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L430-L436","name":"Lean.Parser.Tactic.simpAll","line":430,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simpAll","doc":"`simp_all` is a stronger version of `simp [*] at *` where the hypotheses and target\nare simplified multiple times until no simplication is applicable.\nOnly non-dependent propositional hypotheses are considered.\n"},"Lean.Parser.Tactic.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L408-L429","name":"Lean.Parser.Tactic.simp","line":408,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.simp","doc":"The `simp` tactic uses lemmas and hypotheses to simplify the main goal target or\nnon-dependent hypotheses. It has many variants:\n- `simp` simplifies the main goal target using lemmas tagged with the attribute `[simp]`.\n- `simp [h₁, h₂, ..., hₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]` and the given `hᵢ`'s, where the `hᵢ`'s are expressions.\n If an `hᵢ` is a defined constant `f`, then the equational lemmas associated with\n `f` are used. This provides a convenient way to unfold `f`.\n- `simp [*]` simplifies the main goal target using the lemmas tagged with the\n attribute `[simp]` and all hypotheses.\n- `simp only [h₁, h₂, ..., hₙ]` is like `simp [h₁, h₂, ..., hₙ]` but does not use `[simp]` lemmas.\n- `simp [-id₁, ..., -idₙ]` simplifies the main goal target using the lemmas tagged\n with the attribute `[simp]`, but removes the ones named `idᵢ`.\n- `simp at h₁ h₂ ... hₙ` simplifies the hypotheses `h₁ : T₁` ... `hₙ : Tₙ`. If\n the target or another hypothesis depends on `hᵢ`, a new simplified hypothesis\n `hᵢ` is introduced, but the old one remains in the local context.\n- `simp at *` simplifies all the hypotheses and the target.\n- `simp [*] at *` simplifies target and all (propositional) hypotheses using the\n other hypotheses.\n"},"Lean.Parser.Tactic.set_option":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L321-L322","name":"Lean.Parser.Tactic.set_option","line":321,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.set_option","doc":"`set_option opt val in tacs` (the tactic) acts like `set_option opt val` at the command level,\nbut it sets the option only within the tactics `tacs`. "},"Lean.Parser.Tactic.seq1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L68-L69","name":"Lean.Parser.Tactic.seq1","line":68,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.seq1","doc":""},"Lean.Parser.Tactic.sepByIndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L38-L39","name":"Lean.Parser.Tactic.sepByIndentSemicolon","line":38,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepByIndentSemicolon","doc":""},"Lean.Parser.Tactic.sepBy1IndentSemicolon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L42-L43","name":"Lean.Parser.Tactic.sepBy1IndentSemicolon","line":42,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.sepBy1IndentSemicolon","doc":""},"Lean.Parser.Tactic.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L718-L718","name":"Lean.Parser.Tactic.save","line":718,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.save","doc":"`save` is defined to be the same as `skip`, but the elaborator has\nspecial handling for occurrences of `save` in tactic scripts and will transform\n`by tac1; save; tac2` to `by (checkpoint tac1); tac2`, meaning that the effect of `tac1`\nwill be cached and replayed. This is useful for improving responsiveness\nwhen working on a long tactic proof, by using `save` after expensive tactics.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.rwSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L359-L364","name":"Lean.Parser.Tactic.rwSeq","line":359,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwSeq","doc":"`rw` is like `rewrite`, but also tries to close the goal by \"cheap\" (reducible) `rfl` afterwards.\n"},"Lean.Parser.Tactic.rwRuleSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L341-L342","name":"Lean.Parser.Tactic.rwRuleSeq","line":341,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRuleSeq","doc":"A `rwRuleSeq` is a list of `rwRule` in brackets. "},"Lean.Parser.Tactic.rwRule":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L335-L340","name":"Lean.Parser.Tactic.rwRule","line":335,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rwRule","doc":"If `thm` is a theorem `a = b`, then as a rewrite rule,\n* `thm` means to replace `a` with `b`, and\n* `← thm` means to replace `b` with `a`.\n"},"Lean.Parser.Tactic.rotateRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L232-L236","name":"Lean.Parser.Tactic.rotateRight","line":232,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateRight","doc":"Rotate the goals to the right by `n`. That is, take the goal at the back\nand push it to the front `n` times. If `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rotateLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L225-L230","name":"Lean.Parser.Tactic.rotateLeft","line":225,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rotateLeft","doc":"`rotate_left n` rotates goals to the left by `n`. That is, `rotate_left 1`\ntakes the main goal and puts it to the back of the subgoal list.\nIf `n` is omitted, it defaults to `1`.\n"},"Lean.Parser.Tactic.rewriteSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L344-L354","name":"Lean.Parser.Tactic.rewriteSeq","line":344,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rewriteSeq","doc":"`rewrite [e]` applies identity `e` as a rewrite rule to the target of the main goal.\nIf `e` is preceded by left arrow (`←` or `<-`), the rewrite is applied in the reverse direction.\nIf `e` is a defined constant, then the equational theorems associated with `e` are used.\nThis provides a convenient way to unfold `e`.\n- `rewrite [e₁, ..., eₙ]` applies the given rules sequentially.\n- `rewrite [e] at l` rewrites `e` at location(s) `l`, where `l` is either `*` or a\n list of hypotheses in the local context. In the latter case, a turnstile `⊢` or `|-`\n can also be used, to signify the target of the goal.\n"},"Lean.Parser.Tactic.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L53-L57","name":"Lean.Parser.Tactic.revert","line":53,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.revert","doc":"`revert x...` is the inverse of `intro x...`: it moves the given hypotheses\ninto the main goal's target type.\n"},"Lean.Parser.Tactic.renameI":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L606-L607","name":"Lean.Parser.Tactic.renameI","line":606,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.renameI","doc":"`rename_i x_1 ... x_n` renames the last `n` inaccessible names using the given names. "},"Lean.Parser.Tactic.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L47-L51","name":"Lean.Parser.Tactic.rename","line":47,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.rename","doc":"`rename t => x` renames the most recent hypothesis whose type matches `t`\n(which may contain placeholders) to `x`, or fails if no such hypothesis could be found.\n"},"Lean.Parser.Tactic.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L252-L253","name":"Lean.Parser.Tactic.refl","line":252,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refl","doc":"`eq_refl` is equivalent to `exact rfl`, but has a few optimizations. "},"Lean.Parser.Tactic.refine'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L131-L135","name":"Lean.Parser.Tactic.refine'","line":131,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine'","doc":"`refine' e` behaves like `refine e`, except that unsolved placeholders (`_`)\nand implicit parameters are also converted into new goals.\n"},"Lean.Parser.Tactic.refine":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L124-L129","name":"Lean.Parser.Tactic.refine","line":124,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.refine","doc":"`refine e` behaves like `exact e`, except that named (`?x`) or unnamed (`?_`)\nholes in `e` that are not solved by unification with the main goal's target type\nare converted into new goals, using the hole's name, if any, as the goal case name.\n"},"Lean.Parser.Tactic.quotSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L683-L684","name":"Lean.Parser.Tactic.quotSeq","line":683,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quotSeq","doc":""},"Lean.Parser.Tactic.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Term.lean#L681-L682","name":"Lean.Parser.Tactic.quot","line":681,"kind":"def","docLink":"./Lean/Parser/Term.html#Lean.Parser.Tactic.quot","doc":""},"Lean.Parser.Tactic.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L197-L202","name":"Lean.Parser.Tactic.paren","line":197,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.paren","doc":"`(tacs)` executes a list of tactics in sequence, without requiring that\nthe goal be closed at the end like `· tacs`. Like `by` itself, the tactics\ncan be either separated by newlines or `;`.\n"},"Lean.Parser.Tactic.open":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L316-L317","name":"Lean.Parser.Tactic.open","line":316,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Tactic.open","doc":"`open Foo in tacs` (the tactic) acts like `open Foo` at command level,\nbut it opens a namespace only within the tactics `tacs`. "},"Lean.Parser.Tactic.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L25-L25","name":"Lean.Parser.Tactic.nestedTactic","line":25,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nestedTactic","doc":""},"Lean.Parser.Tactic.nativeDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L92-L93","name":"Lean.Parser.Tactic.nativeDecide","line":92,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.nativeDecide","doc":"`native_decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Unlike `decide`, this\nuses `#eval` to evaluate the decidability instance.\n\nThis should be used with care because it adds the entire lean compiler to the trusted\npart, and the axiom `ofReduceBool` will show up in `#print axioms` for theorems using\nthis method or anything that transitively depends on them. Nevertheless, because it is\ncompiled, this can be significantly more efficient than using `decide`, and for very\nlarge computations this is one way to run external programs and trust the result.\n```\nexample : (List.range 1000).length = 1000 := by native_decide\n```\n"},"Lean.Parser.Tactic.matchRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L27-L27","name":"Lean.Parser.Tactic.matchRhs","line":27,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchRhs","doc":""},"Lean.Parser.Tactic.matchAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L28-L28","name":"Lean.Parser.Tactic.matchAlts","line":28,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.matchAlts","doc":""},"Lean.Parser.Tactic.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L43-L46","name":"Lean.Parser.Tactic.match","line":43,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.match","doc":"`match` performs case analysis on one or more expressions.\nSee [Induction and Recursion][tpil4].\nThe syntax for the `match` tactic is the same as term-mode `match`, except that\nthe match arms are tactics instead of expressions.\n```\nexample (n : Nat) : n = n := by\n match n with\n | 0 => rfl\n | i+1 => simp\n```\n\n[tpil4]: https://leanprover.github.io/theorem_proving_in_lean4/induction_and_recursion.html\n"},"Lean.Parser.Tactic.locationWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L300-L301","name":"Lean.Parser.Tactic.locationWildcard","line":300,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationWildcard","doc":"The `*` location refers to all hypotheses and the goal. "},"Lean.Parser.Tactic.locationHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L303-L307","name":"Lean.Parser.Tactic.locationHyp","line":303,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.locationHyp","doc":"A hypothesis location specification consists of 1 or more hypothesis references\nand optionally `⊢` denoting the goal.\n"},"Lean.Parser.Tactic.location":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L309-L318","name":"Lean.Parser.Tactic.location","line":309,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.location","doc":"Location specifications are used by many tactics that can operate on either the\nhypotheses or the goal. It can have one of the forms:\n* 'empty' is not actually present in this syntax, but most tactics use\n `(location)?` matchers. It means to target the goal only.\n* `at h₁ ... hₙ`: target the hypotheses `h₁`, ..., `hₙ`\n* `at h₁ h₂ ⊢`: target the hypotheses `h₁` and `h₂`, and the goal\n* `at *`: target all hypotheses and the goal\n"},"Lean.Parser.Tactic.letrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L503-L505","name":"Lean.Parser.Tactic.letrec","line":503,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.letrec","doc":"`let rec f : t := e` adds a recursive definition `f` to the current goal.\nThe syntax is the same as term-mode `let rec`. "},"Lean.Parser.Tactic.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L41-L45","name":"Lean.Parser.Tactic.intros","line":41,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intros","doc":"`intros x...` behaves like `intro x...`, but then keeps introducing (anonymous)\nhypotheses until goal is not of a function type.\n"},"Lean.Parser.Tactic.introMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L65-L66","name":"Lean.Parser.Tactic.introMatch","line":65,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.introMatch","doc":"The tactic\n```\nintro\n| pat1 => tac1\n| pat2 => tac2\n```\nis the same as:\n```\nintro x\nmatch x with\n| pat1 => tac1\n| pat2 => tac2\n```\nThat is, `intro` can be followed by match arms and it introduces the values while\ndoing a pattern match. This is equivalent to `fun` with match arms in term mode.\n"},"Lean.Parser.Tactic.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L18-L39","name":"Lean.Parser.Tactic.intro","line":18,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.intro","doc":"Introduces one or more hypotheses, optionally naming and/or pattern-matching them.\nFor each hypothesis to be introduced, the remaining main goal's target type must\nbe a `let` or function type.\n\n* `intro` by itself introduces one anonymous hypothesis, which can be accessed\n by e.g. `assumption`.\n* `intro x y` introduces two hypotheses and names them. Individual hypotheses\n can be anonymized via `_`, or matched against a pattern:\n ```lean\n -- ... ⊢ α × β → ...\n intro (a, b)\n -- ..., a : α, b : β ⊢ ...\n ```\n* Alternatively, `intro` can be combined with pattern matching much like `fun`:\n ```lean\n intro\n | n + 1, 0 => tac\n | ...\n ```\n"},"Lean.Parser.Tactic.injections":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L381-L385","name":"Lean.Parser.Tactic.injections","line":381,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injections","doc":"`injections` applies `injection` to all hypotheses recursively\n(since `injection` can produce new hypotheses). Useful for destructing nested\nconstructor equalities like `(a::b::c) = (d::e::f)`. "},"Lean.Parser.Tactic.injection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L366-L379","name":"Lean.Parser.Tactic.injection","line":366,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.injection","doc":"The `injection` tactic is based on the fact that constructors of inductive data\ntypes are injections.\nThat means that if `c` is a constructor of an inductive datatype, and if `(c t₁)`\nand `(c t₂)` are two terms that are equal then `t₁` and `t₂` are equal too.\nIf `q` is a proof of a statement of conclusion `t₁ = t₂`, then injection applies\ninjectivity to derive the equality of all arguments of `t₁` and `t₂` placed in\nthe same positions. For example, from `(a::b) = (c::d)` we derive `a=c` and `b=d`.\nTo use this tactic `t₁` and `t₂` should be constructor applications of the same constructor.\nGiven `h : a::b = c::d`, the tactic `injection h` adds two new hypothesis with types\n`a = c` and `b = d` to the main goal.\nThe tactic `injection h with h₁ h₂` uses the names `h₁` and `h₂` to name the new hypotheses.\n"},"Lean.Parser.Tactic.inductionAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L529-L533","name":"Lean.Parser.Tactic.inductionAlts","line":529,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlts","doc":"After `with`, there is an optional tactic that runs on all branches, and\nthen a list of alternatives.\n"},"Lean.Parser.Tactic.inductionAltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L518-L523","name":"Lean.Parser.Tactic.inductionAltLHS","line":518,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAltLHS","doc":"The left hand side of an induction arm, `| foo a b c` or `| @foo a b c`\nwhere `foo` is a constructor of the inductive type and `a b c` are the arguments\nto the contstructor.\n"},"Lean.Parser.Tactic.inductionAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L524-L528","name":"Lean.Parser.Tactic.inductionAlt","line":524,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.inductionAlt","doc":"In induction alternative, which can have 1 or more cases on the left\nand `_`, `?_`, or a tactic sequence after the `=>`.\n"},"Lean.Parser.Tactic.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L535-L562","name":"Lean.Parser.Tactic.induction","line":535,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.induction","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`induction x` applies induction on `x` to the main goal,\nproducing one goal for each constructor of the inductive type,\nin which the target is replaced by a general instance of that constructor\nand an inductive hypothesis is added for each recursive argument to the constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the inductive hypothesis incorporates that hypothesis as well.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`induction n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypotheses `h : P (Nat.succ a)` and `ih₁ : P a → Q a` and target `Q (Nat.succ a)`.\nHere the names `a` and `ih₁` are chosen automatically and are not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `induction e`, where `e` is an expression instead of a variable,\n generalizes `e` in the goal, and then performs induction on the resulting variable.\n- `induction e using r` allows the user to specify the principle of induction that should be used.\n Here `r` should be a theorem whose result type must be of the form `C t`,\n where `C` is a bound variable and `t` is a (possibly empty) sequence of bound variables\n- `induction e generalizing z₁ ... zₙ`, where `z₁ ... zₙ` are variables in the local context,\n generalizes over `z₁ ... zₙ` before applying the induction but then introduces them in each goal.\n In other words, the net effect is that each inductive hypothesis is generalized.\n- Given `x : Nat`, `induction x with | zero => tac₁ | succ x' ih => tac₂`\n uses tactic `tac₁` for the `zero` case, and `tac₂` for the `succ` case.\n"},"Lean.Parser.Tactic.generalizeArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L564-L565","name":"Lean.Parser.Tactic.generalizeArg","line":564,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalizeArg","doc":"A `generalize` argument, of the form `term = x` or `h : term = x`. "},"Lean.Parser.Tactic.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L567-L574","name":"Lean.Parser.Tactic.generalize","line":567,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.generalize","doc":"* `generalize ([h :] e = x),+` replaces all occurrences `e`s in the main goal\n with a fresh hypothesis `x`s. If `h` is given, `h : e = x` is introduced as well.\n* `generalize e = x at h₁ ... hₙ` also generalizes occurrences of `e`\n inside `h₁`, ..., `hₙ`.\n* `generalize e = x at *` will generalize occurrences of `e` everywhere.\n"},"Lean.Parser.Tactic.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L176-L180","name":"Lean.Parser.Tactic.focus","line":176,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L222-L223","name":"Lean.Parser.Tactic.first","line":222,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.first","doc":"`first | tac | ...` runs each `tac` until one succeeds, or else fails. "},"Lean.Parser.Tactic.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L194-L195","name":"Lean.Parser.Tactic.failIfSuccess","line":194,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.fail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L692-L693","name":"Lean.Parser.Tactic.fail","line":692,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.fail","doc":"`fail msg` is a tactic that always fails, and produces an error using the given message. "},"Lean.Parser.Tactic.exact":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L119-L122","name":"Lean.Parser.Tactic.exact","line":119,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.exact","doc":"`exact e` closes the main goal if its target type matches that of `e`.\n"},"Lean.Parser.Tactic.dsimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1302-L1302","name":"Lean.Parser.Tactic.dsimpKind","line":1302,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpKind","doc":""},"Lean.Parser.Tactic.dsimpAutoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1349-L1352","name":"Lean.Parser.Tactic.dsimpAutoUnfold","line":1349,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.dsimpAutoUnfold","doc":"`dsimp!` is shorthand for `dsimp` with `autoUnfold := true`.\nThis will rewrite with all equation lemmas, which can be used to\npartially evaluate many definitions. "},"Lean.Parser.Tactic.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L438-L444","name":"Lean.Parser.Tactic.dsimp","line":438,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dsimp","doc":"The `dsimp` tactic is the definitional simplifier. It is similar to `simp` but only\napplies theorems that hold by reflexivity. Thus, the result is guaranteed to be\ndefinitionally equal to the input.\n"},"Lean.Parser.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L185-L186","name":"Lean.Parser.Tactic.done","line":185,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.done","doc":"`done` succeeds iff there are no remaining goals. "},"Lean.Parser.Tactic.discharger":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L387-L391","name":"Lean.Parser.Tactic.discharger","line":387,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.discharger","doc":"The discharger clause of `simp` and related tactics.\nThis is a tactic used to discharge the side conditions on conditional rewrite rules.\n"},"Lean.Parser.Tactic.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L446-L451","name":"Lean.Parser.Tactic.delta","line":446,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.delta","doc":"`delta id1 id2 ...` delta-expands the definitions `id1`, `id2`, ....\nThis is a low-level tactic, it will expose how recursive definitions have been\ncompiled by Lean.\n"},"Lean.Parser.Tactic.declareSimpLikeTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1304-L1322","name":"Lean.Parser.Tactic.declareSimpLikeTactic","line":1304,"kind":"def","docLink":"./Init/Meta.html#Lean.Parser.Tactic.declareSimpLikeTactic","doc":""},"Lean.Parser.Tactic.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Tactic.lean#L76-L77","name":"Lean.Parser.Tactic.decide","line":76,"kind":"def","docLink":"./Lean/Parser/Tactic.html#Lean.Parser.Tactic.decide","doc":"`decide` will attempt to prove a goal of type `p` by synthesizing an instance\nof `Decidable p` and then evaluating it to `isTrue ..`. Because this uses kernel\ncomputation to evaluate the term, it may not work in the presence of definitions\nby well founded recursion, since this requires reducing proofs.\n```\nexample : 2 + 2 ≠ 5 := by decide\n```\n"},"Lean.Parser.Tactic.dbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L642-L651","name":"Lean.Parser.Tactic.dbgTrace","line":642,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.dbgTrace","doc":"`dbg_trace \"foo\"` prints `foo` when elaborated.\nUseful for debugging tactic control flow:\n```\nexample : False ∨ True := by\n first\n | apply Or.inl; trivial; dbg_trace \"left\"\n | apply Or.inr; trivial; dbg_trace \"right\"\n```\n"},"Lean.Parser.Tactic.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L83-L106","name":"Lean.Parser.Tactic.contradiction","line":83,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.contradiction","doc":"`contradiction` closes the main goal if its hypotheses are \"trivially contradictory\".\n- Inductive type/family with no applicable constructors\n```lean\nexample (h : False) : p := by contradiction\n```\n- Injectivity of constructors\n```lean\nexample (h : none = some true) : p := by contradiction --\n```\n- Decidable false proposition\n```lean\nexample (h : 2 + 2 = 3) : p := by contradiction\n```\n- Contradictory hypotheses\n```lean\nexample (h : p) (h' : ¬ p) : q := by contradiction\n```\n- Other simple contradictions such as\n```lean\nexample (x : Nat) (h : x ≠ x) : p := by contradiction\n```\n"},"Lean.Parser.Tactic.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L137-L141","name":"Lean.Parser.Tactic.constructor","line":137,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.constructor","doc":"If the main goal's target type is an inductive type, `constructor` solves it with\nthe first matching constructor, or else fails.\n"},"Lean.Parser.Tactic.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L733-L741","name":"Lean.Parser.Tactic.congr","line":733,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.congr","doc":"Apply congruence (recursively) to goals of the form `⊢ f as = f bs` and `⊢ HEq (f as) (f bs)`.\nThe optional parameter is the depth of the recursive applications.\nThis is useful when `congr` is too aggressive in breaking down the goal.\nFor example, given `⊢ f (g (x + y)) = f (g (y + x))`,\n`congr` produces the goals `⊢ x = y` and `⊢ y = x`,\nwhile `congr 2` produces the intended `⊢ x + y = y + x`.\n"},"Lean.Parser.Tactic.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L297-L298","name":"Lean.Parser.Tactic.config","line":297,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.config","doc":"Optional configuration option for tactics "},"Lean.Parser.Tactic.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L59-L63","name":"Lean.Parser.Tactic.clear","line":59,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.clear","doc":"`clear x...` removes the given hypotheses, or fails if there are remaining\nreferences to a hypothesis.\n"},"Lean.Parser.Tactic.checkpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L695-L706","name":"Lean.Parser.Tactic.checkpoint","line":695,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.checkpoint","doc":"`checkpoint tac` acts the same as `tac`, but it caches the input and output of `tac`,\nand if the file is re-elaborated and the input matches, the tactic is not re-run and\nits effects are reapplied to the state. This is useful for improving responsiveness\nwhen working on a long tactic proof, by wrapping expensive tactics with `checkpoint`.\n\nSee the `save` tactic, which may be more convenient to use.\n\n(TODO: do this automatically and transparently so that users don't have to use\nthis combinator explicitly.)\n"},"Lean.Parser.Tactic.changeWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L328-L333","name":"Lean.Parser.Tactic.changeWith","line":328,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.changeWith","doc":"* `change a with b` will change occurrences of `a` to `b` in the goal,\n assuming `a` and `b` are are definitionally equal.\n* `change a with b at h` similarly changes `a` to `b` in the type of hypothesis `h`.\n"},"Lean.Parser.Tactic.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L320-L326","name":"Lean.Parser.Tactic.change","line":320,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.change","doc":"* `change tgt'` will change the goal from `tgt` to `tgt'`,\n assuming these are definitionally equal.\n* `change t' at h` will change hypothesis `h : t` to have type `t'`, assuming\n assuming `t` and `t'` are definitionally equal.\n"},"Lean.Parser.Tactic.casesTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L576-L580","name":"Lean.Parser.Tactic.casesTarget","line":576,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.casesTarget","doc":"A `cases` argument, of the form `e` or `h : e` (where `h` asserts that\n`e = cᵢ a b` for each constructor `cᵢ` of the inductive).\n"},"Lean.Parser.Tactic.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L581-L604","name":"Lean.Parser.Tactic.cases","line":581,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.cases","doc":"Assuming `x` is a variable in the local context with an inductive type,\n`cases x` splits the main goal, producing one goal for each constructor of the\ninductive type, in which the target is replaced by a general instance of that constructor.\nIf the type of an element in the local context depends on `x`,\nthat element is reverted and reintroduced afterward,\nso that the case split affects that hypothesis as well.\n`cases` detects unreachable cases and closes them automatically.\n\nFor example, given `n : Nat` and a goal with a hypothesis `h : P n` and target `Q n`,\n`cases n` produces one goal with hypothesis `h : P 0` and target `Q 0`,\nand one goal with hypothesis `h : P (Nat.succ a)` and target `Q (Nat.succ a)`.\nHere the name `a` is chosen automatically and is not accessible.\nYou can use `with` to provide the variables names for each constructor.\n- `cases e`, where `e` is an expression instead of a variable, generalizes `e` in the goal,\n and then cases on the resulting variable.\n- Given `as : List α`, `cases as with | nil => tac₁ | cons a as' => tac₂`,\n uses tactic `tac₁` for the `nil` case, and `tac₂` for the `cons` case,\n and `a` and `as'` are used as names for the new variables introduced.\n- `cases h : e`, where `e` is a variable or an expression,\n performs cases on `e` as above, but also adds a hypothesis `h : e = ...` to each hypothesis,\n where `...` is the constructor instance for that particular case.\n"},"Lean.Parser.Tactic.caseArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Notation.lean#L362-L366","name":"Lean.Parser.Tactic.caseArg","line":362,"kind":"def","docLink":"./Init/Notation.html#Lean.Parser.Tactic.caseArg","doc":"A case tag argument has the form `tag x₁ ... xₙ`; it refers to tag `tag` and renames\nthe last `n` hypotheses to `x₁ ... xₙ`.\n"},"Lean.Parser.Tactic.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L152-L158","name":"Lean.Parser.Tactic.case'","line":152,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L143-L150","name":"Lean.Parser.Tactic.case","line":143,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L77-L81","name":"Lean.Parser.Tactic.assumption","line":77,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.assumption","doc":"`assumption` tries to solve the main goal using a hypothesis of compatible type, or else fails.\nNote also the `‹t›` term notation, which is a shorthand for `show t by assumption`.\n"},"Lean.Parser.Tactic.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L108-L117","name":"Lean.Parser.Tactic.apply","line":108,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.apply","doc":"`apply e` tries to match the current goal against the conclusion of `e`'s type.\nIf it succeeds, then the tactic returns as many subgoals as the number of premises that\nhave not been fixed by type inference or type class resolution.\nNon-dependent premises are added before dependent ones.\n\nThe `apply` tactic uses higher-order pattern matching, type class resolution,\nand first-order unification with dependent types.\n"},"Lean.Parser.Tactic.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L170-L174","name":"Lean.Parser.Tactic.anyGoals","line":170,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L167-L168","name":"Lean.Parser.Tactic.allGoals","line":167,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. "},"Lean.Parser.Tactic.acRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L268-L277","name":"Lean.Parser.Tactic.acRfl","line":268,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Tactic.acRfl","doc":"`ac_rfl` proves equalities up to application of an associative and commutative operator.\n```\ninstance : IsAssociative (α := Nat) (.+.) := ⟨Nat.add_assoc⟩\ninstance : IsCommutative (α := Nat) (.+.) := ⟨Nat.add_comm⟩\n\nexample (a b c d : Nat) : a + b + c + d = d + (b + c) + a := by ac_rfl\n```\n"},"Lean.Parser.Tactic.Conv.«conv·._»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L230-L230","name":"Lean.Parser.Tactic.Conv.«conv·._»","line":230,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv·._»","doc":"`· conv` focuses on the main conv goal and tries to solve it using `s`. "},"Lean.Parser.Tactic.Conv.«conv_<;>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L283-L284","name":"Lean.Parser.Tactic.Conv.«conv_<;>_»","line":283,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«conv_<;>_»","doc":""},"Lean.Parser.Tactic.Conv.«convNext__=>_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L217-L217","name":"Lean.Parser.Tactic.Conv.«convNext__=>_»","line":217,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convNext__=>_»","doc":"`next => tac` focuses on the next goal and solves it using `tac`, or else fails.\n`next x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses with\ninaccessible names to the given names.\n"},"Lean.Parser.Tactic.Conv.«convEnter[_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L257-L264","name":"Lean.Parser.Tactic.Conv.«convEnter[_]»","line":257,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.«convEnter[_]»","doc":"`enter [arg, ...]` is a compact way to describe a path to a subterm.\nIt is a shorthand for other conv tactics as follows:\n* `enter [i]` is equivalent to `arg i`.\n* `enter [@i]` is equivalent to `arg @i`.\n* `enter [x]` (where `x` is an identifier) is equivalent to `ext x`.\nFor example, given the target `f (g a (fun x => x b))`, `enter [1, 2, x, 1]`\nwill traverse to the subterm `b`. "},"Lean.Parser.Tactic.Conv.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L62-L63","name":"Lean.Parser.Tactic.Conv.zeta","line":62,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.zeta","doc":"Expands let-declarations and let-variables. "},"Lean.Parser.Tactic.Conv.withAnnotateState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L38-L43","name":"Lean.Parser.Tactic.Conv.withAnnotateState","line":38,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.withAnnotateState","doc":"`with_annotate_state stx t` annotates the lexical range of `stx : Syntax` with\nthe initial and final state of running tactic `t`.\n"},"Lean.Parser.Tactic.Conv.whnf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L57-L60","name":"Lean.Parser.Tactic.Conv.whnf","line":57,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.whnf","doc":"Reduces the target to Weak Head Normal Form. This reduces definitions\nin \"head position\" until a constructor is exposed. For example, `List.map f [a, b, c]`\nweak head normalizes to `f a :: List.map f [b, c]`. "},"Lean.Parser.Tactic.Conv.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L94-L100","name":"Lean.Parser.Tactic.Conv.unfold","line":94,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.unfold","doc":"* `unfold foo` unfolds all occurrences of `foo` in the target.\n* `unfold id1 id2 ...` is equivalent to `unfold id1; unfold id2; ...`.\nLike the `unfold` tactic, this uses equational lemmas for the chosen definition\nto rewrite the target. For recursive definitions,\nonly one layer of unfolding is performed. "},"Lean.Parser.Tactic.Conv.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L46-L47","name":"Lean.Parser.Tactic.Conv.skip","line":46,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.skip","doc":"`skip` does nothing. "},"Lean.Parser.Tactic.Conv.simpMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L145-L152","name":"Lean.Parser.Tactic.Conv.simpMatch","line":145,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simpMatch","doc":"`simp_match` simplifies match expressions. For example,\n```\nmatch [a, b] with\n| [] => 0\n| hd :: tl => hd\n```\nsimplifies to `a`. "},"Lean.Parser.Tactic.Conv.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L123-L126","name":"Lean.Parser.Tactic.Conv.simp","line":123,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.simp","doc":"`simp [thm]` performs simplification using `thm` and marked `@[simp]` lemmas.\nSee the `simp` tactic for more information. "},"Lean.Parser.Tactic.Conv.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L53-L55","name":"Lean.Parser.Tactic.Conv.rhs","line":53,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rhs","doc":"Traverses into the right subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the last argument.) "},"Lean.Parser.Tactic.Conv.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L120-L121","name":"Lean.Parser.Tactic.Conv.rewrite","line":120,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.rewrite","doc":"`rw [thm]` rewrites the target using `thm`. See the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L65-L66","name":"Lean.Parser.Tactic.Conv.reduce","line":65,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.reduce","doc":"Puts term in normal form, this tactic is meant for debugging purposes only. "},"Lean.Parser.Tactic.Conv.pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L102-L118","name":"Lean.Parser.Tactic.Conv.pattern","line":102,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.pattern","doc":"* `pattern pat` traverses to the first subterm of the target that matches `pat`.\n* `pattern (occs := *) pat` traverses to every subterm of the target that matches `pat`\n which is not contained in another match of `pat`. It generates one subgoal for each matching\n subterm.\n* `pattern (occs := 1 2 4) pat` matches occurrences `1, 2, 4` of `pat` and produces three subgoals.\n Occurrences are numbered left to right from the outside in.\n\nNote that skipping an occurrence of `pat` will traverse inside that subexpression, which means\nit may find more matches and this can affect the numbering of subsequent pattern matches.\nFor example, if we are searching for `f _` in `f (f a) = f b`:\n* `occs := 1 2` (and `occs := *`) returns `| f (f a)` and `| f b`\n* `occs := 2` returns `| f a`\n* `occs := 2 3` returns `| f a` and `| f b`\n* `occs := 1 3` is an error, because after skipping `f b` there is no third match.\n"},"Lean.Parser.Tactic.Conv.paren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L168-L170","name":"Lean.Parser.Tactic.Conv.paren","line":168,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.paren","doc":"`(convs)` runs the `convs` in sequence on the current list of targets.\nThis is pure grouping with no added effects. "},"Lean.Parser.Tactic.Conv.occsWildcard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L26-L27","name":"Lean.Parser.Tactic.Conv.occsWildcard","line":26,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsWildcard","doc":"The `*` occurrence list means to apply to all occurrences of the pattern. "},"Lean.Parser.Tactic.Conv.occsIndexed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L29-L33","name":"Lean.Parser.Tactic.Conv.occsIndexed","line":29,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occsIndexed","doc":"A list `1 2 4` of occurrences means to apply to the first, second, and fourth\noccurrence of the pattern.\n"},"Lean.Parser.Tactic.Conv.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L35-L36","name":"Lean.Parser.Tactic.Conv.occs","line":35,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.occs","doc":"An occurrence specification, either `*` or a list of numbers. The default is `[1]`. "},"Lean.Parser.Tactic.Conv.nestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L155-L156","name":"Lean.Parser.Tactic.Conv.nestedTacticCore","line":155,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTacticCore","doc":"Executes the given tactic block without converting `conv` goal into a regular goal. "},"Lean.Parser.Tactic.Conv.nestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L158-L159","name":"Lean.Parser.Tactic.Conv.nestedTactic","line":158,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedTactic","doc":"Focuses, converts the `conv` goal `⊢ lhs` into a regular goal `⊢ lhs = rhs`, and then executes the given tactic block. "},"Lean.Parser.Tactic.Conv.nestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L164-L166","name":"Lean.Parser.Tactic.Conv.nestedConv","line":164,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.nestedConv","doc":"`{ convs }` runs the list of `convs` on the current target, and any subgoals that\nremain are trivially closed by `skip`. "},"Lean.Parser.Tactic.Conv.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L49-L51","name":"Lean.Parser.Tactic.Conv.lhs","line":49,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.lhs","doc":"Traverses into the left subterm of a binary operator.\n(In general, for an `n`-ary operator, it traverses into the second to last argument.) "},"Lean.Parser.Tactic.Conv.focus":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L223-L223","name":"Lean.Parser.Tactic.Conv.focus","line":223,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.focus","doc":"`focus tac` focuses on the main goal, suppressing all other goals, and runs `tac` on it.\nUsually `· tac`, which enforces that the goal is closed by `tac`, should be preferred.\n"},"Lean.Parser.Tactic.Conv.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L277-L278","name":"Lean.Parser.Tactic.Conv.first","line":277,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.first","doc":"`first | conv | ...` runs each `conv` until one succeeds, or else fails. "},"Lean.Parser.Tactic.Conv.failIfSuccess":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L234-L235","name":"Lean.Parser.Tactic.Conv.failIfSuccess","line":234,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.failIfSuccess","doc":"`fail_if_success t` fails if the tactic `t` succeeds. "},"Lean.Parser.Tactic.Conv.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L80-L82","name":"Lean.Parser.Tactic.Conv.ext","line":80,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.ext","doc":"`ext x` traverses into a binder (a `fun x => e` or `∀ x, e` expression)\nto target `e`, introducing name `x` in the process. "},"Lean.Parser.Tactic.Conv.enterArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L255-L255","name":"Lean.Parser.Tactic.Conv.enterArg","line":255,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.enterArg","doc":""},"Lean.Parser.Tactic.Conv.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L128-L143","name":"Lean.Parser.Tactic.Conv.dsimp","line":128,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.dsimp","doc":"`dsimp` is the definitional simplifier in `conv`-mode. It differs from `simp` in that it only\napplies theorems that hold by reflexivity.\n\nExamples:\n\n```lean\nexample (a : Nat): (0 + 0) = a - a := by\n conv =>\n lhs\n dsimp\n rw [← Nat.sub_self a]\n```\n"},"Lean.Parser.Tactic.Conv.delta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L88-L92","name":"Lean.Parser.Tactic.Conv.delta","line":88,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.delta","doc":"`delta id1 id2 ...` unfolds all occurrences of `id1`, `id2`, ... in the target.\nLike the `delta` tactic, this ignores any definitional equations and uses\nprimitive delta-reduction instead, which may result in leaking implementation details.\nUsers should prefer `unfold` for unfolding definitions. "},"Lean.Parser.Tactic.Conv.convTry_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L281-L281","name":"Lean.Parser.Tactic.Conv.convTry_","line":281,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTry_","doc":"`try tac` runs `tac` and succeeds even if `tac` failed. "},"Lean.Parser.Tactic.Conv.convTrace_state":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L180-L180","name":"Lean.Parser.Tactic.Conv.convTrace_state","line":180,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTrace_state","doc":"`trace_state` prints the current goal state. "},"Lean.Parser.Tactic.Conv.convTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L161-L162","name":"Lean.Parser.Tactic.Conv.convTactic","line":161,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convTactic","doc":"Executes the given conv block without converting regular goal into a `conv` goal. "},"Lean.Parser.Tactic.Conv.convSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L21-L21","name":"Lean.Parser.Tactic.Conv.convSeqBracketed","line":21,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeqBracketed","doc":""},"Lean.Parser.Tactic.Conv.convSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L20-L20","name":"Lean.Parser.Tactic.Conv.convSeq1Indented","line":20,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq1Indented","doc":""},"Lean.Parser.Tactic.Conv.convSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L24-L24","name":"Lean.Parser.Tactic.Conv.convSeq","line":24,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convSeq","doc":""},"Lean.Parser.Tactic.Conv.convRw__":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L239-L239","name":"Lean.Parser.Tactic.Conv.convRw__","line":239,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRw__","doc":"`rw [rules]` applies the given list of rewrite rules to the target.\nSee the `rw` tactic for more information. "},"Lean.Parser.Tactic.Conv.convRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L251-L251","name":"Lean.Parser.Tactic.Conv.convRight","line":251,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRight","doc":"`right` traverses into the right argument. Synonym for `rhs`. "},"Lean.Parser.Tactic.Conv.convRfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L174-L174","name":"Lean.Parser.Tactic.Conv.convRfl","line":174,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRfl","doc":"`rfl` closes one conv goal \"trivially\", by using reflexivity\n(that is, no rewriting). "},"Lean.Parser.Tactic.Conv.convRepeat_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L286-L287","name":"Lean.Parser.Tactic.Conv.convRepeat_","line":286,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convRepeat_","doc":"`repeat convs` runs the sequence `convs` repeatedly until it fails to apply. "},"Lean.Parser.Tactic.Conv.convLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L249-L249","name":"Lean.Parser.Tactic.Conv.convLeft","line":249,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convLeft","doc":"`left` traverses into the left argument. Synonym for `lhs`. "},"Lean.Parser.Tactic.Conv.convIntro___":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L253-L253","name":"Lean.Parser.Tactic.Conv.convIntro___","line":253,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convIntro___","doc":"`intro` traverses into binders. Synonym for `ext`. "},"Lean.Parser.Tactic.Conv.convErw_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L244-L244","name":"Lean.Parser.Tactic.Conv.convErw_","line":244,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convErw_","doc":"`erw [rules]` is a shorthand for `rw (config := { transparency := .default }) [rules]`.\nThis does rewriting up to unfolding of regular definitions (by comparison to regular `rw`\nwhich only unfolds `@[reducible]` definitions). "},"Lean.Parser.Tactic.Conv.convDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L177-L177","name":"Lean.Parser.Tactic.Conv.convDone","line":177,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convDone","doc":"`done` succeeds iff there are no goals remaining. "},"Lean.Parser.Tactic.Conv.convConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L225-L227","name":"Lean.Parser.Tactic.Conv.convConvSeq","line":225,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convConvSeq","doc":"`conv => cs` runs `cs` in sequence on the target `t`,\nresulting in `t'`, which becomes the new target subgoal. "},"Lean.Parser.Tactic.Conv.convArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L247-L247","name":"Lean.Parser.Tactic.Conv.convArgs","line":247,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convArgs","doc":"`args` traverses into all arguments. Synonym for `congr`. "},"Lean.Parser.Tactic.Conv.convApply_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L275-L275","name":"Lean.Parser.Tactic.Conv.convApply_","line":275,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.convApply_","doc":"The `apply thm` conv tactic is the same as `apply thm` the tactic.\nThere are no restrictions on `thm`, but strange results may occur if `thm`\ncannot be reasonably interpreted as proving one equality from a list of others. "},"Lean.Parser.Tactic.Conv.conv.quot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L13-L18","name":"Lean.Parser.Tactic.Conv.conv.quot","line":13,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv.quot","doc":""},"Lean.Parser.Tactic.Conv.conv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L291-L304","name":"Lean.Parser.Tactic.Conv.conv","line":291,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.conv","doc":"`conv => ...` allows the user to perform targeted rewriting on a goal or hypothesis,\nby focusing on particular subexpressions.\n\nSee for more details.\n\nBasic forms:\n* `conv => cs` will rewrite the goal with conv tactics `cs`.\n* `conv at h => cs` will rewrite hypothesis `h`.\n* `conv in pat => cs` will rewrite the first subexpression matching `pat` (see `pattern`).\n"},"Lean.Parser.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L68-L71","name":"Lean.Parser.Tactic.Conv.congr","line":68,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.congr","doc":"Performs one step of \"congruence\", which takes a term and produces\nsubgoals for all the function arguments. For example, if the target is `f x y` then\n`congr` produces two subgoals, one for `x` and one for `y`. "},"Lean.Parser.Tactic.Conv.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L84-L86","name":"Lean.Parser.Tactic.Conv.change","line":84,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.change","doc":"`change t'` replaces the target `t` with `t'`,\nassuming `t` and `t'` are definitionally equal. "},"Lean.Parser.Tactic.Conv.case'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L209-L210","name":"Lean.Parser.Tactic.Conv.case'","line":209,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case'","doc":"`case'` is similar to the `case tag => tac` tactic, but does not ensure the goal\nhas been solved after applying `tac`, nor admits the goal if `tac` failed.\nRecall that `case` closes the goal using `sorry` when `tac` fails, and\nthe tactic execution is not interrupted.\n"},"Lean.Parser.Tactic.Conv.case":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L200-L201","name":"Lean.Parser.Tactic.Conv.case","line":200,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.case","doc":"* `case tag => tac` focuses on the goal with case name `tag` and solves it using `tac`,\n or else fails.\n* `case tag x₁ ... xₙ => tac` additionally renames the `n` most recent hypotheses\n with inaccessible names to the given names.\n* `case tag₁ | tag₂ => tac` is equivalent to `(case tag₁ => tac); (case tag₂ => tac)`.\n"},"Lean.Parser.Tactic.Conv.arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L73-L78","name":"Lean.Parser.Tactic.Conv.arg","line":73,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.arg","doc":"* `arg i` traverses into the `i`'th argument of the target. For example if the\n target is `f a b c d` then `arg 1` traverses to `a` and `arg 3` traverses to `c`.\n* `arg @i` is the same as `arg i` but it counts all arguments instead of just the\n explicit arguments. "},"Lean.Parser.Tactic.Conv.anyGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L190-L191","name":"Lean.Parser.Tactic.Conv.anyGoals","line":190,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.anyGoals","doc":"`any_goals tac` applies the tactic `tac` to every goal, and succeeds if at\nleast one application succeeds.\n"},"Lean.Parser.Tactic.Conv.allGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Conv.lean#L183-L184","name":"Lean.Parser.Tactic.Conv.allGoals","line":183,"kind":"def","docLink":"./Init/Conv.html#Lean.Parser.Tactic.Conv.allGoals","doc":"`all_goals tac` runs `tac` on each goal, concatenating the resulting goals, if any. 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over/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Types.lean#L75-L78","name":"Lean.Parser.Error","line":75,"kind":"structure","docLink":"./Lean/Parser/Types.html#Lean.Parser.Error","doc":""},"Lean.Parser.Command.whereStructInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L92-L94","name":"Lean.Parser.Command.whereStructInst","line":92,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.whereStructInst","doc":""},"Lean.Parser.Command.whereStructField":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L90-L91","name":"Lean.Parser.Command.whereStructField","line":90,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.whereStructField","doc":""},"Lean.Parser.Command.visibility":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L68-L68","name":"Lean.Parser.Command.visibility","line":68,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.visibility","doc":""},"Lean.Parser.Command.variable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L201-L202","name":"Lean.Parser.Command.variable","line":201,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.variable","doc":""},"Lean.Parser.Command.unsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L70-L70","name":"Lean.Parser.Command.unsafe","line":70,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.unsafe","doc":""},"Lean.Parser.Command.universe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L203-L204","name":"Lean.Parser.Command.universe","line":203,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.universe","doc":""},"Lean.Parser.Command.theorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L109-L110","name":"Lean.Parser.Command.theorem","line":109,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.theorem","doc":""},"Lean.Parser.Command.terminationSuffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L55-L56","name":"Lean.Parser.Command.terminationSuffix","line":55,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationSuffix","doc":""},"Lean.Parser.Command.terminationHintMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L38-L40","name":"Lean.Parser.Command.terminationHintMany","line":38,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationHintMany","doc":""},"Lean.Parser.Command.terminationHint1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L41-L41","name":"Lean.Parser.Command.terminationHint1","line":41,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationHint1","doc":""},"Lean.Parser.Command.terminationHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L42-L42","name":"Lean.Parser.Command.terminationHint","line":42,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationHint","doc":""},"Lean.Parser.Command.terminationByElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L49-L51","name":"Lean.Parser.Command.terminationByElement","line":49,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationByElement","doc":""},"Lean.Parser.Command.terminationByCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L44-L45","name":"Lean.Parser.Command.terminationByCore","line":44,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationByCore","doc":""},"Lean.Parser.Command.terminationBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L52-L53","name":"Lean.Parser.Command.terminationBy","line":52,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.terminationBy","doc":""},"Lean.Parser.Command.synth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Command.lean#L213-L214","name":"Lean.Parser.Command.synth","line":213,"kind":"def","docLink":"./Lean/Parser/Command.html#Lean.Parser.Command.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"},"Lean.Parser.Attr.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Attr.lean#L45-L45","name":"Lean.Parser.Attr.specialize","line":45,"kind":"def","docLink":"./Lean/Parser/Attr.html#Lean.Parser.Attr.specialize","doc":""},"Lean.Parser.Attr.simple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Parser/Attr.lean#L35-L35","name":"Lean.Parser.Attr.simple","line":35,"kind":"def","docLink":"./Lean/Parser/Attr.html#Lean.Parser.Attr.simple","doc":""},"Lean.Parser.Attr.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Tactics.lean#L746-L789","name":"Lean.Parser.Attr.simp","line":746,"kind":"def","docLink":"./Init/Tactics.html#Lean.Parser.Attr.simp","doc":"Theorems tagged with the `simp` attribute are by the simplifier\n(i.e., the `simp` tactic, and its variants) to simplify expressions occurring in your goals.\nWe call theorems tagged with the `simp` attribute \"simp theorems\" or \"simp lemmas\".\nLean maintains a database/index containing all active simp theorems.\nHere is an example of a simp theorem.\n```lean\n@[simp] theorem ne_eq (a b : α) : (a ≠ b) = Not (a = b) := rfl\n```\nThis simp theorem instructs the simplifier to replace instances of the term\n`a ≠ b` (e.g. `x + 0 ≠ y`) with `Not (a = b)` (e.g., `Not (x + 0 = y)`).\nThe simplifier applies simp theorems in one direction only:\nif `A = B` is a simp theorem, then `simp` replaces `A`s with `B`s,\nbut it doesn't replace `B`s with `A`s. Hence a simp theorem should have the\nproperty that its right-hand side is \"simpler\" than its left-hand side.\nIn particular, `=` and `↔` should not be viewed as symmetric operators in this situation.\nThe following would be a terrible simp theorem (if it were even allowed):\n```lean\n@[simp] lemma mul_right_inv_bad (a : G) : 1 = a * a⁻¹ := ...\n```\nReplacing 1 with a * a⁻¹ is not a sensible default direction to travel.\nEven worse would be a theorem that causes expressions to grow without bound,\ncausing simp to loop forever.\n\nBy default the simplifier applies `simp` theorems to an expression `e`\nafter its sub-expressions have been simplified.\nWe say it performs a bottom-up simplification.\nYou can instruct the simplifier to apply a theorem before its sub-expressions\nhave been simplified by using the modifier `↓`. Here is an example\n```lean\n@[simp↓] theorem not_and_eq (p q : Prop) : (¬ (p ∧ q)) = (¬p ∨ ¬q) :=\n```\n\nWhen multiple simp theorems are applicable, the simplifier uses the one with highest priority.\nIf there are several with the same priority, it is uses the \"most recent one\". Example:\n```lean\n@[simp high] theorem cond_true (a b : α) : cond true a b = a := rfl\n@[simp low+1] theorem or_true (p : Prop) : (p ∨ True) = True :=\n propext <| Iff.intro (fun _ => trivial) (fun _ => Or.inr trivial)\n@[simp 100] theorem ite_self {d : Decidable c} (a : α) : ite c a a = a := by\n cases d <;> 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The name `Lean.Meta.run` is represented at\n```lean\n.str (.str (.str .anonymous \"Lean\") \"Meta\") \"run\"\n```\n"},"Lean.Name.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L94-L97","name":"Lean.Name.sizeOf","line":94,"kind":"def","docLink":"./Init/SizeOf.html#Lean.Name.sizeOf","doc":"We manually define the `Lean.Name` instance because we use\nan opaque function for computing the hashcode field.\n"},"Lean.Name.simpMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4172-L4175","name":"Lean.Name.simpMacroScopes","line":4172,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.simpMacroScopes","doc":"Helper function we use to create binder names that do not need to be unique. "},"Lean.Name.reprPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L148-L156","name":"Lean.Name.reprPrec","line":148,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.reprPrec","doc":""},"Lean.Name.replacePrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L165-L169","name":"Lean.Name.replacePrefix","line":165,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.replacePrefix","doc":""},"Lean.Name.quickLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L96-L97","name":"Lean.Name.quickLt","line":96,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickLt","doc":""},"Lean.Name.quickCmpAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L76-L89","name":"Lean.Name.quickCmpAux","line":76,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmpAux","doc":""},"Lean.Name.quickCmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L91-L94","name":"Lean.Name.quickCmp","line":91,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.quickCmp","doc":""},"Lean.Name.num.sizeOf_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOf.lean#L106-L107","name":"Lean.Name.num.sizeOf_spec","line":106,"kind":"theorem","docLink":"./Init/SizeOf.html#Lean.Name.num.sizeOf_spec","doc":""},"Lean.Name.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3416-L3423","name":"Lean.Name.num","line":3416,"kind":"ctor","docLink":"./Init/Prelude.html#Lean.Name.num","doc":"A numerical name. This kind of name is used, for example, to create hierarchical names for\nfree variables and metavariables. The identifier `_uniq.231` is represented as\n```lean\n.num (.str .anonymous \"_uniq\") 231\n```\n"},"Lean.Name.modifyBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L181-L186","name":"Lean.Name.modifyBase","line":181,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.modifyBase","doc":"Remove macros scopes, apply `f`, and put them back "},"Lean.Name.mkStr8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3489-L3490","name":"Lean.Name.mkStr8","line":3489,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr8","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇.s₈` "},"Lean.Name.mkStr7":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3485-L3486","name":"Lean.Name.mkStr7","line":3485,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr7","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆.s₇` "},"Lean.Name.mkStr6":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3481-L3482","name":"Lean.Name.mkStr6","line":3481,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr6","doc":"Make name `s₁.s₂.s₃.s₄.s₅.s₆` "},"Lean.Name.mkStr5":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3477-L3478","name":"Lean.Name.mkStr5","line":3477,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr5","doc":"Make name `s₁.s₂.s₃.s₄.s₅` "},"Lean.Name.mkStr4":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3473-L3474","name":"Lean.Name.mkStr4","line":3473,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr4","doc":"Make name `s₁.s₂.s₃.s₄` "},"Lean.Name.mkStr3":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3469-L3470","name":"Lean.Name.mkStr3","line":3469,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr3","doc":"Make name `s₁.s₂.s₃` "},"Lean.Name.mkStr2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3465-L3466","name":"Lean.Name.mkStr2","line":3465,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr2","doc":"Make name `s₁.s₂` "},"Lean.Name.mkStr1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3461-L3462","name":"Lean.Name.mkStr1","line":3461,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr1","doc":"Make name `s₁` "},"Lean.Name.mkStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3444-L3445","name":"Lean.Name.mkStr","line":3444,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkStr","doc":"`.str p s` is now the preferred form.\n"},"Lean.Name.mkSimple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3457-L3458","name":"Lean.Name.mkSimple","line":3457,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkSimple","doc":"Short for `.str .anonymous s`.\n"},"Lean.Name.mkNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3451-L3452","name":"Lean.Name.mkNum","line":3451,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.mkNum","doc":"`.num p v` is now the preferred form.\n"},"Lean.Name.mangle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/NameMangling.lean#L59-L60","name":"Lean.Name.mangle","line":59,"kind":"def","docLink":"./Lean/Compiler/NameMangling.html#Lean.Name.mangle","doc":""},"Lean.Name.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L73-L74","name":"Lean.Name.lt","line":73,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.lt","doc":""},"Lean.Name.isSuffixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L52-L56","name":"Lean.Name.isSuffixOf","line":52,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isSuffixOf","doc":""},"Lean.Name.isStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L127-L129","name":"Lean.Name.isStr","line":127,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isStr","doc":""},"Lean.Name.isPrefixOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L46-L49","name":"Lean.Name.isPrefixOf","line":46,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isPrefixOf","doc":""},"Lean.Name.isNum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L131-L133","name":"Lean.Name.isNum","line":131,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isNum","doc":""},"Lean.Name.isInternal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L101-L104","name":"Lean.Name.isInternal","line":101,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isInternal","doc":"The frontend does not allow user declarations to start with `_` in any of its parts.\nWe use name parts starting with `_` internally to create auxiliary names (e.g., `_private`). "},"Lean.Name.isInaccessibleUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L108-L111","name":"Lean.Name.isInaccessibleUserName","line":108,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.isInaccessibleUserName","doc":""},"Lean.Name.isImplementationDetail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L111-L115","name":"Lean.Name.isImplementationDetail","line":111,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isImplementationDetail","doc":"Checks whether the name is an implementation-detail hypothesis name.\n\nImplementation-detail hypothesis names start with a double underscore.\n"},"Lean.Name.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L117-L121","name":"Lean.Name.isAtomic","line":117,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAtomic","doc":""},"Lean.Name.isAnonymous":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L123-L125","name":"Lean.Name.isAnonymous","line":123,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.isAnonymous","doc":""},"Lean.Name.instToStringName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L140-L141","name":"Lean.Name.instToStringName","line":140,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instToStringName","doc":""},"Lean.Name.instReprName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L158-L159","name":"Lean.Name.instReprName","line":158,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instReprName","doc":""},"Lean.Name.instLawfulBEqNameInstBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L211-L213","name":"Lean.Name.instLawfulBEqNameInstBEqName","line":211,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instLawfulBEqNameInstBEqName","doc":""},"Lean.Name.instDecidableEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L215-L216","name":"Lean.Name.instDecidableEqName","line":215,"kind":"instance","docLink":"./Init/Meta.html#Lean.Name.instDecidableEqName","doc":""},"Lean.Name.instBEqName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3500-L3501","name":"Lean.Name.instBEqName","line":3500,"kind":"instance","docLink":"./Init/Prelude.html#Lean.Name.instBEqName","doc":""},"Lean.Name.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L12-L13","name":"Lean.Name.hashEx","line":12,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.hashEx","doc":""},"Lean.Name.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3390-L3430","name":"Lean.Name.hash","line":3390,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hash","doc":"A hash function for names, which is stored inside the name itself as a\ncomputed field. "},"Lean.Name.hasMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4147-L4150","name":"Lean.Name.hasMacroScopes","line":4147,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.hasMacroScopes","doc":"Does this name have hygienic macro scopes? "},"Lean.Name.getString!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L20-L22","name":"Lean.Name.getString!","line":20,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getString!","doc":""},"Lean.Name.getRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L100-L105","name":"Lean.Name.getRoot","line":100,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.getRoot","doc":""},"Lean.Name.getPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L15-L18","name":"Lean.Name.getPrefix","line":15,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getPrefix","doc":""},"Lean.Name.getNumParts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L24-L27","name":"Lean.Name.getNumParts","line":24,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.getNumParts","doc":""},"Lean.Name.escapePart":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L113-L116","name":"Lean.Name.escapePart","line":113,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.escapePart","doc":""},"Lean.Name.eraseSuffix?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L174-L178","name":"Lean.Name.eraseSuffix?","line":174,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.eraseSuffix?","doc":"`eraseSuffix? n s` return `n'` if `n` is of the form `n == n' ++ s`.\n"},"Lean.Name.eraseMacroScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4161-L4164","name":"Lean.Name.eraseMacroScopes","line":4161,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.eraseMacroScopes","doc":"Remove the macro scopes from the name. "},"Lean.Name.eqStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L42-L44","name":"Lean.Name.eqStr","line":42,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.eqStr","doc":""},"Lean.Name.componentsRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L34-L37","name":"Lean.Name.componentsRev","line":34,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.componentsRev","doc":""},"Lean.Name.components":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L39-L40","name":"Lean.Name.components","line":39,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.components","doc":""},"Lean.Name.cmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Name.lean#L58-L71","name":"Lean.Name.cmp","line":58,"kind":"def","docLink":"./Lean/Data/Name.html#Lean.Name.cmp","doc":""},"Lean.Name.capitalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L161-L163","name":"Lean.Name.capitalize","line":161,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.capitalize","doc":""},"Lean.Name.beq_iff_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L207-L209","name":"Lean.Name.beq_iff_eq","line":207,"kind":"theorem","docLink":"./Init/Meta.html#Lean.Name.beq_iff_eq","doc":""},"Lean.Name.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3494-L3498","name":"Lean.Name.beq","line":3494,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.beq","doc":"(Boolean) equality comparator for names. "},"Lean.Name.appendIndexAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L195-L198","name":"Lean.Name.appendIndexAfter","line":195,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendIndexAfter","doc":""},"Lean.Name.appendCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3507-L3510","name":"Lean.Name.appendCore","line":3507,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.appendCore","doc":"This function does not have special support for macro scopes.\nSee `Name.append`.\n"},"Lean.Name.appendBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L201-L205","name":"Lean.Name.appendBefore","line":201,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendBefore","doc":""},"Lean.Name.appendAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L189-L192","name":"Lean.Name.appendAfter","line":189,"kind":"def","docLink":"./Init/Meta.html#Lean.Name.appendAfter","doc":""},"Lean.Name.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4263-L4273","name":"Lean.Name.append","line":4263,"kind":"def","docLink":"./Init/Prelude.html#Lean.Name.append","doc":"Append two names that may have macro scopes. 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"},"Lean.Meta.unfoldDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L731-L733","name":"Lean.Meta.unfoldDefinition","line":731,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.unfoldDefinition","doc":""},"Lean.Meta.unfoldDeclsFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L143-L160","name":"Lean.Meta.unfoldDeclsFrom","line":143,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.unfoldDeclsFrom","doc":"Unfold definitions and theorems in `e` that are not in the current environment, but are in `biggerEnv`. "},"Lean.Meta.unfold.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Unfold.lean#L24-L30","name":"Lean.Meta.unfold.pre","line":24,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfold.pre","doc":""},"Lean.Meta.unfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Unfold.lean#L18-L30","name":"Lean.Meta.unfold","line":18,"kind":"def","docLink":"./Lean/Meta/Tactic/Unfold.html#Lean.Meta.unfold","doc":""},"Lean.Meta.tryUnificationHints.tryCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/UnificationHint.lean#L110-L138","name":"Lean.Meta.tryUnificationHints.tryCandidate","line":110,"kind":"def","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.tryUnificationHints.tryCandidate","doc":""},"Lean.Meta.tryUnificationHints.isDefEqPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/UnificationHint.lean#L107-L108","name":"Lean.Meta.tryUnificationHints.isDefEqPattern","line":107,"kind":"def","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.tryUnificationHints.isDefEqPattern","doc":""},"Lean.Meta.tryUnificationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/UnificationHint.lean#L94-L138","name":"Lean.Meta.tryUnificationHints","line":94,"kind":"def","docLink":"./Lean/Meta/UnificationHint.html#Lean.Meta.tryUnificationHints","doc":""},"Lean.Meta.trySynthInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L735-L738","name":"Lean.Meta.trySynthInstance","line":735,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.trySynthInstance","doc":"Return `LOption.some r` if succeeded, `LOption.none` if it failed, and `LOption.undef` if\ninstance cannot be synthesized right now because `type` contains metavariables. "},"Lean.Meta.trySubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Subst.lean#L210-L213","name":"Lean.Meta.trySubst","line":210,"kind":"def","docLink":"./Lean/Meta/Tactic/Subst.html#Lean.Meta.trySubst","doc":""},"Lean.Meta.tryClearMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L59-L60","name":"Lean.Meta.tryClearMany","line":59,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.tryClearMany","doc":""},"Lean.Meta.tryClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L49-L50","name":"Lean.Meta.tryClear","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.tryClear","doc":""},"Lean.Meta.traverseLetWithPos.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L47-L57","name":"Lean.Meta.traverseLetWithPos.visit","line":47,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLetWithPos.visit","doc":""},"Lean.Meta.traverseLetWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L45-L57","name":"Lean.Meta.traverseLetWithPos","line":45,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLetWithPos","doc":"Similar to `traverseLet` but with an additional pos argument to track position. "},"Lean.Meta.traverseLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L84-L84","name":"Lean.Meta.traverseLet","line":84,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLet","doc":"Similar to `traverseLambda` and `traverseForall` but with let binders. "},"Lean.Meta.traverseLambdaWithPos.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L23-L30","name":"Lean.Meta.traverseLambdaWithPos.visit","line":23,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambdaWithPos.visit","doc":""},"Lean.Meta.traverseLambdaWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L21-L30","name":"Lean.Meta.traverseLambdaWithPos","line":21,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambdaWithPos","doc":"Similar to `traverseLambda` but with an additional pos argument to track position. "},"Lean.Meta.traverseLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L75-L75","name":"Lean.Meta.traverseLambda","line":75,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseLambda","doc":"Given an expression `fun (x₁ : α₁) ... (xₙ : αₙ) => b`, will run\n`f` on each of the variable types `αᵢ` and `b` with the correct MetaM context,\nreplacing each expression with the output of `f` and creating a new lambda.\n(that is, correctly instantiating bound variables and repackaging them after) "},"Lean.Meta.traverseForallWithPos.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L35-L42","name":"Lean.Meta.traverseForallWithPos.visit","line":35,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseForallWithPos.visit","doc":""},"Lean.Meta.traverseForallWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L33-L42","name":"Lean.Meta.traverseForallWithPos","line":33,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseForallWithPos","doc":"Similar to `traverseForall` but with an additional pos argument to track position. "},"Lean.Meta.traverseForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L81-L81","name":"Lean.Meta.traverseForall","line":81,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseForall","doc":"Given an expression ` (x₁ : α₁) → ... → (xₙ : αₙ) → b`, will run\n`f` on each of the variable types `αᵢ` and `b` with the correct MetaM context,\nreplacing the expression with the output of `f` and creating a new forall expression.\n(that is, correctly instantiating bound variables and repackaging them after) "},"Lean.Meta.traverseChildrenWithPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L61-L69","name":"Lean.Meta.traverseChildrenWithPos","line":61,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseChildrenWithPos","doc":"Similar to `Lean.Meta.traverseChildren` except that `visit` also includes a `Pos` argument so you can\ntrack the subexpression position. "},"Lean.Meta.traverseChildren":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprTraverse.lean#L94-L94","name":"Lean.Meta.traverseChildren","line":94,"kind":"def","docLink":"./Lean/Meta/ExprTraverse.html#Lean.Meta.traverseChildren","doc":"Maps `visit` on each child of the given expression.\n\nApplications, foralls, lambdas and let binders are bundled (as they are bundled in `Expr.traverseApp`, `traverseForall`, ...).\nSo `traverseChildren f e` where ``e = `(fn a₁ ... aₙ)`` will return\n``(← f `(fn)) (← f `(a₁)) ... (← f `(aₙ))`` rather than ``(← f `(fn a₁ ... aₙ₋₁)) (← f `(aₙ))``\n\nSee also `Lean.Core.traverseChildren`.\n "},"Lean.Meta.transform.visit.visitPost":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L87-L91","name":"Lean.Meta.transform.visit.visitPost","line":87,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitPost","doc":""},"Lean.Meta.transform.visit.visitLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L104-L109","name":"Lean.Meta.transform.visit.visitLet","line":104,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitLet","doc":""},"Lean.Meta.transform.visit.visitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L92-L97","name":"Lean.Meta.transform.visit.visitLambda","line":92,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitLambda","doc":""},"Lean.Meta.transform.visit.visitForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L98-L103","name":"Lean.Meta.transform.visit.visitForall","line":98,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit.visitForall","doc":""},"Lean.Meta.transform.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L85-L125","name":"Lean.Meta.transform.visit","line":85,"kind":"opaque","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform.visit","doc":""},"Lean.Meta.transform":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L77-L126","name":"Lean.Meta.transform","line":77,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.transform","doc":"Similar to `Core.transform`, but terms provided to `pre` and `post` do not contain loose bound variables.\nSo, it is safe to use any `MetaM` method at `pre` and `post`. 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free variables using an order `x < y` iff `x` was defined before `y`.\nIf a free variable is not in the local context, we use their id. 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This method assumes `mvarId` is not assigned, and we are already using `mvarId`s local context. "},"Lean.Meta.simpTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L891-L895","name":"Lean.Meta.simpTarget","line":891,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpTarget","doc":"Simplify the given goal target (aka type). Return `none` if the goal was closed. Return `some mvarId'` otherwise,\nwhere `mvarId'` is the simplified new goal. "},"Lean.Meta.simpStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L926-L929","name":"Lean.Meta.simpStep","line":926,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.simpStep","doc":"Simplify `prop` (which is inhabited by `proof`). Return `none` if the goal was closed. 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"},"Lean.Meta.pp.showLetValues":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L28-L32","name":"Lean.Meta.pp.showLetValues","line":28,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.showLetValues","doc":""},"Lean.Meta.pp.inaccessibleNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L22-L26","name":"Lean.Meta.pp.inaccessibleNames","line":22,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.inaccessibleNames","doc":""},"Lean.Meta.pp.implementationDetailHyps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L16-L20","name":"Lean.Meta.pp.implementationDetailHyps","line":16,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.implementationDetailHyps","doc":""},"Lean.Meta.pp.auxDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/PPGoal.lean#L10-L14","name":"Lean.Meta.pp.auxDecls","line":10,"kind":"opaque","docLink":"./Lean/Meta/PPGoal.html#Lean.Meta.pp.auxDecls","doc":""},"Lean.Meta.postprocessAppMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L87-L91","name":"Lean.Meta.postprocessAppMVars","line":87,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.postprocessAppMVars","doc":"If `synthAssignedInstances` is `true`, then `apply` will synthesize instance implicit arguments\neven if they have assigned by `isDefEq`, and then check whether the synthesized value matches the\none inferred. 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"},"Lean.Meta.modifyInferTypeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L365-L366","name":"Lean.Meta.modifyInferTypeCache","line":365,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.modifyInferTypeCache","doc":""},"Lean.Meta.modifyDefEqCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L368-L369","name":"Lean.Meta.modifyDefEqCache","line":368,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.modifyDefEqCache","doc":""},"Lean.Meta.modifyCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L362-L363","name":"Lean.Meta.modifyCache","line":362,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.modifyCache","doc":""},"Lean.Meta.mkSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L479-L480","name":"Lean.Meta.mkSyntheticSorry","line":479,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkSyntheticSorry","doc":"Return `sorryAx type` "},"Lean.Meta.mkSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L569-L569","name":"Lean.Meta.mkSub","line":569,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkSub","doc":"Return `a - b` using a heterogeneous `-`. 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"},"Lean.Meta.mkSimpExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L374-L383","name":"Lean.Meta.mkSimpExt","line":374,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.mkSimpExt","doc":""},"Lean.Meta.mkSimpCongrTheorem.onlyMVarsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L104-L105","name":"Lean.Meta.mkSimpCongrTheorem.onlyMVarsAt","line":104,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.mkSimpCongrTheorem.onlyMVarsAt","doc":"Return `true` if `t` contains a metavariable that is not in `mvarSet` "},"Lean.Meta.mkSimpCongrTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L52-L105","name":"Lean.Meta.mkSimpCongrTheorem","line":52,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.mkSimpCongrTheorem","doc":""},"Lean.Meta.mkSimpAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L342-L372","name":"Lean.Meta.mkSimpAttr","line":342,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.mkSimpAttr","doc":""},"Lean.Meta.mkRecursorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/RecursorInfo.lean#L270-L276","name":"Lean.Meta.mkRecursorInfo","line":270,"kind":"def","docLink":"./Lean/Meta/RecursorInfo.html#Lean.Meta.mkRecursorInfo","doc":""},"Lean.Meta.mkPure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L395-L396","name":"Lean.Meta.mkPure","line":395,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkPure","doc":"Given a `monad` and `e : α`, makes `pure e`."},"Lean.Meta.mkPropExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L487-L488","name":"Lean.Meta.mkPropExt","line":487,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkPropExt","doc":"Return `propext h` "},"Lean.Meta.mkProjection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L401-L426","name":"Lean.Meta.mkProjection","line":401,"kind":"opaque","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkProjection","doc":"`mkProjection s fieldName` return an expression for accessing field `fieldName` of the structure `s`.\nRemark: `fieldName` may be a subfield of `s`. 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The method fails if we don't have an instance `OfNat type n` "},"Lean.Meta.mkNoConfusion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L383-L392","name":"Lean.Meta.mkNoConfusion","line":383,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkNoConfusion","doc":""},"Lean.Meta.mkMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L572-L572","name":"Lean.Meta.mkMul","line":572,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkMul","doc":"Return `a * b` using a heterogeneous `*`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L463-L464","name":"Lean.Meta.mkLt","line":463,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLt","doc":"Return `a < b` "},"Lean.Meta.mkListLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L432-L439","name":"Lean.Meta.mkListLit","line":432,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkListLit","doc":""},"Lean.Meta.mkLevelStuckErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1543-L1544","name":"Lean.Meta.mkLevelStuckErrorMessage","line":1543,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelStuckErrorMessage","doc":""},"Lean.Meta.mkLevelErrorMessage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1546-L1547","name":"Lean.Meta.mkLevelErrorMessage","line":1546,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLevelErrorMessage","doc":""},"Lean.Meta.mkLetValCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L495-L496","name":"Lean.Meta.mkLetValCongr","line":495,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetValCongr","doc":"Return `let_val_congr b h` "},"Lean.Meta.mkLetFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L758-L759","name":"Lean.Meta.mkLetFVars","line":758,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLetFVars","doc":""},"Lean.Meta.mkLetCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L491-L492","name":"Lean.Meta.mkLetCongr","line":491,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetCongr","doc":"Return `let_congr h₁ h₂` "},"Lean.Meta.mkLetBodyCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L499-L500","name":"Lean.Meta.mkLetBodyCongr","line":499,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLetBodyCongr","doc":"Return `let_body_congr a h` "},"Lean.Meta.mkLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L467-L468","name":"Lean.Meta.mkLe","line":467,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLe","doc":"Return `a <= b` "},"Lean.Meta.mkLambdaFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L755-L756","name":"Lean.Meta.mkLambdaFVars","line":755,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkLambdaFVars","doc":"Takes an array `xs` of free variables and metavariables and a\nbody term `e` and creates `fun ..xs => e`, suitably\nabstracting `e` and the types in `xs`. "},"Lean.Meta.mkLT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L590-L590","name":"Lean.Meta.mkLT","line":590,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLT","doc":"Return `a < b`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkLE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L587-L587","name":"Lean.Meta.mkLE","line":587,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkLE","doc":"Return `a ≤ b`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkInjectiveTheorems":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L150-L165","name":"Lean.Meta.mkInjectiveTheorems","line":150,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheorems","doc":""},"Lean.Meta.mkInjectiveTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L98-L99","name":"Lean.Meta.mkInjectiveTheoremNameFor","line":98,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveTheoremNameFor","doc":""},"Lean.Meta.mkInjectiveEqTheoremNameFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L113-L114","name":"Lean.Meta.mkInjectiveEqTheoremNameFor","line":113,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.mkInjectiveEqTheoremNameFor","doc":""},"Lean.Meta.mkImpDepCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L530-L531","name":"Lean.Meta.mkImpDepCongrCtx","line":530,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpDepCongrCtx","doc":""},"Lean.Meta.mkImpCongrCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L527-L528","name":"Lean.Meta.mkImpCongrCtx","line":527,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongrCtx","doc":""},"Lean.Meta.mkImpCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L524-L525","name":"Lean.Meta.mkImpCongr","line":524,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkImpCongr","doc":""},"Lean.Meta.mkIffOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L593-L597","name":"Lean.Meta.mkIffOfEq","line":593,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkIffOfEq","doc":"Given `h : a = b`, return a proof for `a ↔ b`. "},"Lean.Meta.mkId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L15-L18","name":"Lean.Meta.mkId","line":15,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkId","doc":"Return `id e` "},"Lean.Meta.mkHasTypeButIsExpectedMsg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Check.lean#L117-L126","name":"Lean.Meta.mkHasTypeButIsExpectedMsg","line":117,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.mkHasTypeButIsExpectedMsg","doc":"Return error message \"has type{givenType}\\nbut is expected to have type{expectedType}\"\n"},"Lean.Meta.mkHEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L127-L140","name":"Lean.Meta.mkHEqTrans","line":127,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqTrans","doc":"Given `h₁ : HEq a b`, `h₂ : HEq b c`, returns a proof of `HEq a c`. "},"Lean.Meta.mkHEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L114-L124","name":"Lean.Meta.mkHEqSymm","line":114,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqSymm","doc":"Given `h : HEq a b`, returns a proof of `HEq b a`. "},"Lean.Meta.mkHEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L59-L62","name":"Lean.Meta.mkHEqRefl","line":59,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEqRefl","doc":"Return a proof of `HEq a a`. "},"Lean.Meta.mkHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L34-L38","name":"Lean.Meta.mkHEq","line":34,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkHEq","doc":"Return `HEq a b`. "},"Lean.Meta.mkHCongrWithArity.withNewEqs.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L78-L91","name":"Lean.Meta.mkHCongrWithArity.withNewEqs.loop","line":78,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity.withNewEqs.loop","doc":""},"Lean.Meta.mkHCongrWithArity.withNewEqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L77-L92","name":"Lean.Meta.mkHCongrWithArity.withNewEqs","line":77,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity.withNewEqs","doc":""},"Lean.Meta.mkHCongrWithArity.mkProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L94-L113","name":"Lean.Meta.mkHCongrWithArity.mkProof","line":94,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity.mkProof","doc":""},"Lean.Meta.mkHCongrWithArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L55-L113","name":"Lean.Meta.mkHCongrWithArity","line":55,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongrWithArity","doc":""},"Lean.Meta.mkHCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L115-L116","name":"Lean.Meta.mkHCongr","line":115,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkHCongr","doc":""},"Lean.Meta.mkGeneralizationForbiddenSet.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeVars.lean#L24-L35","name":"Lean.Meta.mkGeneralizationForbiddenSet.visit","line":24,"kind":"def","docLink":"./Lean/Meta/GeneralizeVars.html#Lean.Meta.mkGeneralizationForbiddenSet.visit","doc":""},"Lean.Meta.mkGeneralizationForbiddenSet.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeVars.lean#L37-L45","name":"Lean.Meta.mkGeneralizationForbiddenSet.loop","line":37,"kind":"opaque","docLink":"./Lean/Meta/GeneralizeVars.html#Lean.Meta.mkGeneralizationForbiddenSet.loop","doc":""},"Lean.Meta.mkGeneralizationForbiddenSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeVars.lean#L14-L45","name":"Lean.Meta.mkGeneralizationForbiddenSet","line":14,"kind":"def","docLink":"./Lean/Meta/GeneralizeVars.html#Lean.Meta.mkGeneralizationForbiddenSet","doc":"Add to `forbidden` all a set of `FVarId`s containing `targets` and all variables they depend on.\n"},"Lean.Meta.mkFunUnit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L762-L763","name":"Lean.Meta.mkFunUnit","line":762,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFunUnit","doc":"`fun _ : Unit => a` "},"Lean.Meta.mkFunExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L483-L484","name":"Lean.Meta.mkFunExt","line":483,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkFunExt","doc":"Return `funext h` "},"Lean.Meta.mkFreshTypeMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L463-L465","name":"Lean.Meta.mkFreshTypeMVar","line":463,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshTypeMVar","doc":""},"Lean.Meta.mkFreshLevelMVarsFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L486-L487","name":"Lean.Meta.mkFreshLevelMVarsFor","line":486,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshLevelMVarsFor","doc":""},"Lean.Meta.mkFreshLevelMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L482-L484","name":"Lean.Meta.mkFreshLevelMVars","line":482,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshLevelMVars","doc":""},"Lean.Meta.mkFreshLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L444-L447","name":"Lean.Meta.mkFreshLevelMVar","line":444,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshLevelMVar","doc":""},"Lean.Meta.mkFreshExprSyntheticOpaqueMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L35-L36","name":"Lean.Meta.mkFreshExprSyntheticOpaqueMVar","line":35,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.mkFreshExprSyntheticOpaqueMVar","doc":""},"Lean.Meta.mkFreshExprMVarWithId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L474-L480","name":"Lean.Meta.mkFreshExprMVarWithId","line":474,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshExprMVarWithId","doc":""},"Lean.Meta.mkFreshExprMVarAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L438-L442","name":"Lean.Meta.mkFreshExprMVarAt","line":438,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshExprMVarAt","doc":""},"Lean.Meta.mkFreshExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L460-L461","name":"Lean.Meta.mkFreshExprMVar","line":460,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkFreshExprMVar","doc":""},"Lean.Meta.mkFreshBinderNameForTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L85-L86","name":"Lean.Meta.mkFreshBinderNameForTactic","line":85,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.Meta.mkFreshBinderNameForTactic","doc":"Similar to `mkFreshUserName`, but takes into account `tactic.hygienic` option value.\nIf `tactic.hygienic = true`, then the current macro scopes are applied to `binderName`.\nIf not, then an unused (accessible) name (based on `binderName`) in the local context is used.\n"},"Lean.Meta.mkForallFVars'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L123-L138","name":"Lean.Meta.mkForallFVars'","line":123,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.mkForallFVars'","doc":"Similar to `mkForallFVars`, but tries to infer better binder names when `xs` contains metavariables.\nLet `?m` be a metavariable in `xs` s.t. `?m` does not have a user facing name.\nThen, we try to find an application `f ... ?m` in the other binder typer and `type`, and\n(temporarily) use the corresponding parameter name (with a fresh macro scope) as the user facing name for `?m`.\nThe \"renaming\" is temporary.\n"},"Lean.Meta.mkForallFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L749-L750","name":"Lean.Meta.mkForallFVars","line":749,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkForallFVars","doc":"Takes an array `xs` of free variables or metavariables and a term `e` that may contain those variables, and abstracts and binds them as universal quantifiers.\n\n- if `usedOnly = true` then only variables that the expression body depends on will appear.\n- if `usedLetOnly = true` same as `usedOnly` except for let-bound variables. (That is, local constants which have been assigned a value.)\n "},"Lean.Meta.mkForallCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L533-L534","name":"Lean.Meta.mkForallCongr","line":533,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkForallCongr","doc":""},"Lean.Meta.mkFalseElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L71-L73","name":"Lean.Meta.mkFalseElim","line":71,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkFalseElim","doc":"Given `h : False`, return an instance of type `e`. "},"Lean.Meta.mkExpectedTypeHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L23-L25","name":"Lean.Meta.mkExpectedTypeHint","line":23,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkExpectedTypeHint","doc":"Given `e` s.t. `inferType e` is definitionally equal to `expectedType`, return\nterm `@id expectedType e`. "},"Lean.Meta.mkEqTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L507-L508","name":"Lean.Meta.mkEqTrue","line":507,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrue","doc":"Return `eq_true h` "},"Lean.Meta.mkEqTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L98-L111","name":"Lean.Meta.mkEqTrans","line":98,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqTrans","doc":"Given `h₁ : a = b` and `h₂ : b = c` returns a proof of `a = c`. "},"Lean.Meta.mkEqSymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L86-L95","name":"Lean.Meta.mkEqSymm","line":86,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqSymm","doc":"Given `h : a = b`, returns a proof of `b = a`. "},"Lean.Meta.mkEqRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L53-L56","name":"Lean.Meta.mkEqRefl","line":53,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRefl","doc":"Return a proof of `a = a`. "},"Lean.Meta.mkEqRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L361-L375","name":"Lean.Meta.mkEqRec","line":361,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqRec","doc":""},"Lean.Meta.mkEqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L143-L152","name":"Lean.Meta.mkEqOfHEq","line":143,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqOfHEq","doc":"Given `h : Eq a b`, returns a proof of `HEq a b`. "},"Lean.Meta.mkEqNDRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L346-L359","name":"Lean.Meta.mkEqNDRec","line":346,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqNDRec","doc":""},"Lean.Meta.mkEqMPR":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L380-L381","name":"Lean.Meta.mkEqMPR","line":380,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMPR","doc":""},"Lean.Meta.mkEqMP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L377-L378","name":"Lean.Meta.mkEqMP","line":377,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqMP","doc":""},"Lean.Meta.mkEqHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L43-L50","name":"Lean.Meta.mkEqHEq","line":43,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqHEq","doc":"If `a` and `b` have definitionally equal types, return `Eq a b`, otherwise return `HEq a b`.\n"},"Lean.Meta.mkEqFalse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L521-L522","name":"Lean.Meta.mkEqFalse'","line":521,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse'","doc":"Return `eq_false' h`\n`h` must have type definitionally equal to `p → False` in the current\nreducibility setting. "},"Lean.Meta.mkEqFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L514-L515","name":"Lean.Meta.mkEqFalse","line":514,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEqFalse","doc":"Return `eq_false h`\n`h` must have type definitionally equal to `¬ p` in the current\nreducibility setting. "},"Lean.Meta.mkEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L28-L31","name":"Lean.Meta.mkEq","line":28,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkEq","doc":"Return `a = b`. "},"Lean.Meta.mkDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L471-L472","name":"Lean.Meta.mkDefault","line":471,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDefault","doc":"Return `Inhabited.default α` "},"Lean.Meta.mkDecideProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L455-L460","name":"Lean.Meta.mkDecideProof","line":455,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecideProof","doc":"Return a proof for `p : Prop` using `decide p` "},"Lean.Meta.mkDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L451-L452","name":"Lean.Meta.mkDecide","line":451,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkDecide","doc":"Return `Decidable.decide p` "},"Lean.Meta.mkCustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L115-L137","name":"Lean.Meta.mkCustomEliminator","line":115,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.mkCustomEliminator","doc":""},"Lean.Meta.mkConstWithFreshMVarLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L493-L495","name":"Lean.Meta.mkConstWithFreshMVarLevels","line":493,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.mkConstWithFreshMVarLevels","doc":"Create a constant with the given name and new universe metavariables.\nExample: ``mkConstWithFreshMVarLevels `Monad`` returns `@Monad.{?u, ?v}`\n"},"Lean.Meta.mkCongrSimpCore?.mkProof.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L292-L315","name":"Lean.Meta.mkCongrSimpCore?.mkProof.go","line":292,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mkProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L291-L316","name":"Lean.Meta.mkCongrSimpCore?.mkProof","line":291,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mkProof","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L259-L286","name":"Lean.Meta.mkCongrSimpCore?.mk?.go","line":259,"kind":"opaque","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?.go","doc":""},"Lean.Meta.mkCongrSimpCore?.mk?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L254-L289","name":"Lean.Meta.mkCongrSimpCore?.mk?","line":254,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?.mk?","doc":"Create a congruence theorem that is useful for the simplifier.\nIn this kind of theorem, if the i-th argument is a `cast` argument, then the theorem\ncontains an input `a_i` representing the i-th argument in the left-hand-side, and\nit appears with a cast (e.g., `Eq.drec ... a_i ...`) in the right-hand-side.\nThe idea is that the right-hand-side of this theorem \"tells\" the simplifier\nhow the resulting term looks like. "},"Lean.Meta.mkCongrSimpCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L236-L316","name":"Lean.Meta.mkCongrSimpCore?","line":236,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimpCore?","doc":"Create a congruence theorem that is useful for the simplifier and `congr` tactic.\n"},"Lean.Meta.mkCongrSimp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L326-L329","name":"Lean.Meta.mkCongrSimp?","line":326,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.mkCongrSimp?","doc":"Create a congruence theorem for `f`. The theorem is used in the simplifier.\n\nIf `subsingletonInstImplicitRhs = true`, the the `rhs` corresponding to `[Decidable p]` parameters\nis marked as instance implicit. It forces the simplifier to compute the new instance when applying\nthe congruence theorem.\nFor the `congr` tactic we set it to `false`.\n"},"Lean.Meta.mkCongrFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L170-L185","name":"Lean.Meta.mkCongrFun","line":170,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrFun","doc":"Given `h : f = g` and `a : α`, returns a proof of `f a = g a`."},"Lean.Meta.mkCongrArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L155-L167","name":"Lean.Meta.mkCongrArg","line":155,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongrArg","doc":"Given `f : α → β` and `h : a = b`, returns a proof of `f a = f b`."},"Lean.Meta.mkCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L188-L206","name":"Lean.Meta.mkCongr","line":188,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkCongr","doc":"Given `h₁ : f = g` and `h₂ : a = b`, returns a proof of `f a = g b`. "},"Lean.Meta.mkAuxTheoremFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L399-L402","name":"Lean.Meta.mkAuxTheoremFor","line":399,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheoremFor","doc":"Similar to `mkAuxTheorem`, but infers the type of `value`.\n"},"Lean.Meta.mkAuxTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L372-L394","name":"Lean.Meta.mkAuxTheorem","line":372,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxTheorem","doc":"Create an auxiliary theorem with the given name, type and value. It is similar to `mkAuxDefinition`.\n"},"Lean.Meta.mkAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L656-L657","name":"Lean.Meta.mkAuxMVar","line":656,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.mkAuxMVar","doc":""},"Lean.Meta.mkAuxLemma":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L26-L39","name":"Lean.Meta.mkAuxLemma","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.mkAuxLemma","doc":"Helper method for creating auxiliary lemmas in the environment.\n\nIt uses a cache that maps `type` to declaration name. The cache is not stored in `.olean` files.\nIt is useful to make sure the same auxiliary lemma is not created over and over again in the same file.\n\nThis method is useful for tactics (e.g., `simp`) that may perform preprocessing steps to lemmas provided by\nusers. For example, `simp` preprocessor may convert a lemma into multiple ones.\n"},"Lean.Meta.mkAuxDefinitionFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L364-L367","name":"Lean.Meta.mkAuxDefinitionFor","line":364,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinitionFor","doc":"Similar to `mkAuxDefinition`, but infers the type of `value`. "},"Lean.Meta.mkAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Closure.lean#L347-L361","name":"Lean.Meta.mkAuxDefinition","line":347,"kind":"def","docLink":"./Lean/Meta/Closure.html#Lean.Meta.mkAuxDefinition","doc":"Create an auxiliary definition with the given name, type and value.\nThe parameters `type` and `value` may contain free and meta variables.\nA \"closure\" is computed, and a term of the form `name.{u_1 ... u_n} t_1 ... t_m` is\nreturned where `u_i`s are universe parameters and metavariables `type` and `value` depend on,\nand `t_j`s are free and meta variables `type` and `value` depend on. "},"Lean.Meta.mkArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L441-L444","name":"Lean.Meta.mkArrayLit","line":441,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkArrayLit","doc":""},"Lean.Meta.mkAppOptM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L341-L344","name":"Lean.Meta.mkAppOptM'","line":341,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM'","doc":"Similar to `mkAppOptM`, but takes an `Expr` instead of a constant name "},"Lean.Meta.mkAppOptM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L335-L338","name":"Lean.Meta.mkAppOptM","line":335,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppOptM","doc":"Similar to `mkAppM`, but it allows us to specify which arguments are provided explicitly using `Option` type.\nExample:\nGiven `Pure.pure {m : Type u → Type v} [Pure m] {α : Type u} (a : α) : m α`,\n```\nmkAppOptM `Pure.pure #[m, none, none, a]\n```\nreturns a `Pure.pure` application if the instance `Pure m` can be synthesized, and the universe match.\nNote that,\n```\nmkAppM `Pure.pure #[a]\n```\nfails because the only explicit argument `(a : α)` is not sufficient for inferring the remaining arguments,\nwe would need the expected type. "},"Lean.Meta.mkAppM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L284-L287","name":"Lean.Meta.mkAppM'","line":284,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM'","doc":"Similar to `mkAppM`, but takes an `Expr` instead of a constant name. "},"Lean.Meta.mkAppM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L278-L281","name":"Lean.Meta.mkAppM","line":278,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAppM","doc":"Return the application `constName xs`.\nIt tries to fill the implicit arguments before the last element in `xs`.\n\nRemark:\n``mkAppM `arbitrary #[α]`` returns `@arbitrary.{u} α` without synthesizing\nthe implicit argument occurring after `α`.\nGiven a `x : (([Decidable p] → Bool) × Nat`, ``mkAppM `Prod.fst #[x]`` returns `@Prod.fst ([Decidable p] → Bool) Nat x`\n"},"Lean.Meta.mkAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L566-L566","name":"Lean.Meta.mkAdd","line":566,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAdd","doc":"Return `a + b` using a heterogeneous `+`. This method assumes `a` and `b` have the same type. "},"Lean.Meta.mkAbsurd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/AppBuilder.lean#L65-L68","name":"Lean.Meta.mkAbsurd","line":65,"kind":"def","docLink":"./Lean/Meta/AppBuilder.html#Lean.Meta.mkAbsurd","doc":"Given `hp : P` and `nhp : Not P` returns an instance of type `e`. "},"Lean.Meta.matchNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L45-L52","name":"Lean.Meta.matchNot?","line":45,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNot?","doc":""},"Lean.Meta.matchNe?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L54-L61","name":"Lean.Meta.matchNe?","line":54,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchNe?","doc":""},"Lean.Meta.matchMatcherApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L141-L162","name":"Lean.Meta.matchMatcherApp?","line":141,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.matchMatcherApp?","doc":""},"Lean.Meta.matchHelper?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L17-L20","name":"Lean.Meta.matchHelper?","line":17,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHelper?","doc":""},"Lean.Meta.matchHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L26-L27","name":"Lean.Meta.matchHEq?","line":26,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchHEq?","doc":""},"Lean.Meta.matchFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L42-L43","name":"Lean.Meta.matchFalse","line":42,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchFalse","doc":""},"Lean.Meta.matchEqHEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L32-L40","name":"Lean.Meta.matchEqHEq?","line":32,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEqHEq?","doc":"Return `some (α, lhs, rhs)` if `e` is of the form `@Eq α lhs rhs` or `@HEq α lhs α rhs`\n"},"Lean.Meta.matchEq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L23-L24","name":"Lean.Meta.matchEq?","line":23,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchEq?","doc":"Matches `e` with `lhs = (rhs : α)` and returns `(α, lhs, rhs)`. "},"Lean.Meta.matchConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/MatchUtil.lean#L63-L66","name":"Lean.Meta.matchConstructorApp?","line":63,"kind":"def","docLink":"./Lean/Meta/MatchUtil.html#Lean.Meta.matchConstructorApp?","doc":""},"Lean.Meta.markSmartUnfoldingMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L48-L49","name":"Lean.Meta.markSmartUnfoldingMatchAlt","line":48,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.markSmartUnfoldingMatchAlt","doc":"Add auxiliary annotation to indicate expression `e` (a `match` alternative rhs) was successfully reduced by smart unfolding. "},"Lean.Meta.markSmartUnfoldingMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L41-L42","name":"Lean.Meta.markSmartUnfoldingMatch","line":41,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.markSmartUnfoldingMatch","doc":"Add auxiliary annotation to indicate the `match`-expression `e` must be reduced when performing smart unfolding. 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"},"Lean.Meta.lambdaLetTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1089-L1090","name":"Lean.Meta.lambdaLetTelescope","line":1089,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.lambdaLetTelescope","doc":"Similar to `lambdaTelescope` but for lambda and let expressions. "},"Lean.Meta.kabstract.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/KAbstract.lean#L24-L46","name":"Lean.Meta.kabstract.visit","line":24,"kind":"def","docLink":"./Lean/Meta/KAbstract.html#Lean.Meta.kabstract.visit","doc":""},"Lean.Meta.kabstract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/KAbstract.lean#L17-L47","name":"Lean.Meta.kabstract","line":17,"kind":"def","docLink":"./Lean/Meta/KAbstract.html#Lean.Meta.kabstract","doc":"Abstract occurrences of `p` in `e`. 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"},"Lean.Meta.isType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L363-L372","name":"Lean.Meta.isType","line":363,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isType","doc":"Return `true` iff the type of `e` is a `Sort _`.\n"},"Lean.Meta.isSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L542-L546","name":"Lean.Meta.isSyntheticMVar","line":542,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isSyntheticMVar","doc":"Reture `true` if `e` is a synthetic (or synthetic opaque) metavariable "},"Lean.Meta.isRflTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L120-L122","name":"Lean.Meta.isRflTheorem","line":120,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.isRflTheorem","doc":""},"Lean.Meta.isRflProofCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L98-L118","name":"Lean.Meta.isRflProofCore","line":98,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.isRflProofCore","doc":""},"Lean.Meta.isRflProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L125-L129","name":"Lean.Meta.isRflProof","line":125,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.isRflProof","doc":""},"Lean.Meta.isReadOnlyOrSyntheticOpaqueExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L590-L591","name":"Lean.Meta.isReadOnlyOrSyntheticOpaqueExprMVar","line":590,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isReadOnlyOrSyntheticOpaqueExprMVar","doc":""},"Lean.Meta.isReadOnlyLevelMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L613-L614","name":"Lean.Meta.isReadOnlyLevelMVar","line":613,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isReadOnlyLevelMVar","doc":""},"Lean.Meta.isReadOnlyExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L575-L576","name":"Lean.Meta.isReadOnlyExprMVar","line":575,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isReadOnlyExprMVar","doc":""},"Lean.Meta.isPropQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L235-L247","name":"Lean.Meta.isPropQuick","line":235,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isPropQuick","doc":"`isPropQuick e` is an \"approximate\" predicate which returns `LBool.true`\nif `e` is a proposition. "},"Lean.Meta.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L255-L264","name":"Lean.Meta.isProp","line":255,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isProp","doc":"`isProp whnf e` return `true` if `e` is a proposition.\n\nIf `e` contains metavariables, it may not be possible\nto decide whether is a proposition or not. We return `false` in this\ncase. We considered using `LBool` and retuning `LBool.undef`, but\nwe have no applications for it. "},"Lean.Meta.isProofQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L295-L307","name":"Lean.Meta.isProofQuick","line":295,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isProofQuick","doc":"`isProofQuick e` is an \"approximate\" predicate which returns `LBool.true`\nif `e` is a proof. "},"Lean.Meta.isProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L311-L315","name":"Lean.Meta.isProof","line":311,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Meta.isProof","doc":""},"Lean.Meta.isNatProjInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Offset.lean#L19-L22","name":"Lean.Meta.isNatProjInst","line":19,"kind":"def","docLink":"./Lean/Meta/Offset.html#Lean.Meta.isNatProjInst","doc":""},"Lean.Meta.isMonadApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L92-L94","name":"Lean.Meta.isMonadApp","line":92,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.isMonadApp","doc":"Return `true` if `type` is of the form `m α` where `m` is a `Monad`.\nNote that we reduce `type` using transparency 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"},"Lean.Meta.isMatcherCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L108-L109","name":"Lean.Meta.isMatcherCore","line":108,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherCore","doc":""},"Lean.Meta.isMatcherAppCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L114-L122","name":"Lean.Meta.isMatcherAppCore?","line":114,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherAppCore?","doc":""},"Lean.Meta.isMatcherAppCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L124-L125","name":"Lean.Meta.isMatcherAppCore","line":124,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherAppCore","doc":""},"Lean.Meta.isMatcherApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L127-L128","name":"Lean.Meta.isMatcherApp","line":127,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcherApp","doc":""},"Lean.Meta.isMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L111-L112","name":"Lean.Meta.isMatcher","line":111,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.isMatcher","doc":""},"Lean.Meta.isMatchValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Value.lean#L44-L45","name":"Lean.Meta.isMatchValue","line":44,"kind":"def","docLink":"./Lean/Meta/Match/Value.html#Lean.Meta.isMatchValue","doc":"Return 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"},"Lean.Meta.isListLevelDefEqAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1507-L1510","name":"Lean.Meta.isListLevelDefEqAux","line":1507,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isListLevelDefEqAux","doc":""},"Lean.Meta.isLevelDefEqAuxImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/LevelDefEq.lean#L87-L117","name":"Lean.Meta.isLevelDefEqAuxImpl","line":87,"kind":"def","docLink":"./Lean/Meta/LevelDefEq.html#Lean.Meta.isLevelDefEqAuxImpl","doc":""},"Lean.Meta.isLevelDefEqAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L422-L422","name":"Lean.Meta.isLevelDefEqAux","line":422,"kind":"opaque","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isLevelDefEqAux","doc":""},"Lean.Meta.isLevelDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1625-L1626","name":"Lean.Meta.isLevelDefEq","line":1625,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.isLevelDefEq","doc":"Determines 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"},"Lean.Meta.isEtaUnassignedMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L155-L164","name":"Lean.Meta.isEtaUnassignedMVar","line":155,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.isEtaUnassignedMVar","doc":"Return `true` if `e` is of the form `fun (x_1 ... x_n) => ?m x_1 ... x_n)`, and `?m` is unassigned.\nRemark: `n` may be 0. 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"},"Lean.Meta.getCustomEliminators":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L151-L152","name":"Lean.Meta.getCustomEliminators","line":151,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.getCustomEliminators","doc":""},"Lean.Meta.getCustomEliminator?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L154-L160","name":"Lean.Meta.getCustomEliminator?","line":154,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.getCustomEliminator?","doc":""},"Lean.Meta.getCtorNumPropFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Injection.lean#L15-L21","name":"Lean.Meta.getCtorNumPropFields","line":15,"kind":"def","docLink":"./Lean/Meta/Tactic/Injection.html#Lean.Meta.getCtorNumPropFields","doc":""},"Lean.Meta.getCongrSimpKinds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L196-L231","name":"Lean.Meta.getCongrSimpKinds","line":196,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.getCongrSimpKinds","doc":"Compute `CongrArgKind`s for a simp congruence theorem. "},"Lean.Meta.getConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L374-L375","name":"Lean.Meta.getConfig","line":374,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.getConfig","doc":""},"Lean.Meta.getArrayArgType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/CaseArraySizes.lean#L18-L23","name":"Lean.Meta.getArrayArgType","line":18,"kind":"def","docLink":"./Lean/Meta/Match/CaseArraySizes.html#Lean.Meta.getArrayArgType","doc":""},"Lean.Meta.generalizeTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GeneralizeTelescope.lean#L87-L92","name":"Lean.Meta.generalizeTelescope","line":87,"kind":"def","docLink":"./Lean/Meta/GeneralizeTelescope.html#Lean.Meta.generalizeTelescope","doc":"Given expressions `es := #[e_1, e_2, ..., e_n]`, execute `k` with the\nfree variables `(x_1 : A_1) (x_2 : A_2 [x_1]) ... (x_n : A_n [x_1, ... x_{n-1}])`.\nMoreover,\n- type of `e_1` is definitionally equal to `A_1`,\n- type of `e_2` is definitionally equal to `A_2[e_1]`.\n- ...\n- type of `e_n` is definitionally equal to `A_n[e_1, ..., e_{n-1}]`.\n\nThis method tries to avoid the creation of new free variables. For example, if `e_i` is a\nfree variable `x_i` and it is not a let-declaration variable, and its type does not depend on\nprevious `e_j`s, the method will just use `x_i`.\n\nThe telescope `x_1 ... x_n` can be used to create lambda and forall abstractions.\nMoreover, for any type correct lambda abstraction `f` constructed using `mkForall #[x_1, ..., x_n] ...`,\nThe application `f e_1 ... e_n` is also type correct.\n\nThe `kabstract` method is used to \"locate\" and abstract forward dependencies.\nThat is, an occurrence of `e_i` in the of `e_j` for `j > i`.\n\nThe method checks whether the abstract types `A_i` are type correct. Here is an example\nwhere `generalizeTelescope` fails to create the telescope `x_1 ... x_n`.\nAssume the local context contains `(n : Nat := 10) (xs : Vec Nat n) (ys : Vec Nat 10) (h : xs = ys)`.\nThen, assume we invoke `generalizeTelescope` with `es := #[10, xs, ys, h]`\nA type error is detected when processing `h`'s type. At this point, the method had successfully produced\n```\n (x_1 : Nat) (xs : Vec Nat n) (x_2 : Vec Nat x_1)\n```\nand the type for the new variable abstracting `h` is `xs = x_2` which is not type correct. "},"Lean.Meta.generalizeTargetsEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L45-L59","name":"Lean.Meta.generalizeTargetsEq","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeTargetsEq","doc":""},"Lean.Meta.generalizeIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L85-L122","name":"Lean.Meta.generalizeIndices","line":85,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.Meta.generalizeIndices","doc":"Similar to `generalizeTargets` but customized for the `casesOn` motive.\nGiven a metavariable `mvarId` representing the\n```\nCtx, h : I A j, D |- T\n```\nwhere `fvarId` is `h`s id, and the type `I A j` is an inductive datatype where `A` are parameters,\nand `j` the indices. Generate the goal\n```\nCtx, h : I A j, D, j' : J, h' : I A j' |- j == j' -> h == h' -> T\n```\nRemark: `(j == j' -> h == h')` is a \"telescopic\" equality.\nRemark: `j` is sequence of terms, and `j'` a sequence of free variables.\nThe result contains the fields\n- `mvarId`: the new goal\n- `indicesFVarIds`: `j'` ids\n- `fvarId`: `h'` id\n- `numEqs`: number of equations in the target "},"Lean.Meta.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Generalize.lean#L78-L79","name":"Lean.Meta.generalize","line":78,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.Meta.generalize","doc":"Telescopic `generalize` tactic. It can simultaneously generalize many terms.\nIt uses `kabstract` to occurrences of the terms that need to be generalized.\n"},"Lean.Meta.genSizeOfSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SizeOf.lean#L472-L475","name":"Lean.Meta.genSizeOfSpec","line":472,"kind":"opaque","docLink":"./Lean/Meta/SizeOf.html#Lean.Meta.genSizeOfSpec","doc":""},"Lean.Meta.genSizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SizeOf.lean#L467-L470","name":"Lean.Meta.genSizeOf","line":467,"kind":"opaque","docLink":"./Lean/Meta/SizeOf.html#Lean.Meta.genSizeOf","doc":""},"Lean.Meta.genInjectivity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L145-L148","name":"Lean.Meta.genInjectivity","line":145,"kind":"opaque","docLink":"./Lean/Meta/Injective.html#Lean.Meta.genInjectivity","doc":""},"Lean.Meta.fullApproxDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1367-L1368","name":"Lean.Meta.fullApproxDefEq","line":1367,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.fullApproxDefEq","doc":"Similar to `approxDefEq`, but uses all available approximations.\nWe don't use `constApprox` by default at `approxDefEq` because it often produces undesirable solution for monadic code.\nFor example, suppose we have `pure (x > 0)` which has type `?m Prop`. We also have the goal `[Pure ?m]`.\nNow, assume the expected type is `IO Bool`. Then, the unification constraint `?m Prop =?= IO Bool` could be solved\nas `?m := fun _ => IO Bool` using `constApprox`, but this spurious solution would generate a failure when we try to\nsolve `[Pure (fun _ => IO Bool)]` "},"Lean.Meta.forallTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1052-L1053","name":"Lean.Meta.forallTelescopeReducing","line":1052,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescopeReducing","doc":"Similar to `forallTelescope`, but given `type` of the form `forall xs, A`,\nit reduces `A` and continues bulding the telescope if it is a `forall`. "},"Lean.Meta.forallTelescopeCompatibleAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L11-L28","name":"Lean.Meta.forallTelescopeCompatibleAux","line":11,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatibleAux","doc":""},"Lean.Meta.forallTelescopeCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L32-L34","name":"Lean.Meta.forallTelescopeCompatible","line":32,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Meta.forallTelescopeCompatible","doc":"Given two forall-expressions `type₁` and `type₂`, ensure the first `numParams` parameters are compatible, and\nthen execute `k` with the parameters and remaining types. "},"Lean.Meta.forallTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1043-L1044","name":"Lean.Meta.forallTelescope","line":1043,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallTelescope","doc":"Given `type` of the form `forall xs, A`, execute `k xs A`.\nThis combinator will declare local declarations, create free variables for them,\nexecute `k` with updated local context, and make sure the cache is restored after executing `k`. "},"Lean.Meta.forallMetaTelescopeReducing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1147-L1148","name":"Lean.Meta.forallMetaTelescopeReducing","line":1147,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescopeReducing","doc":"Similar to `forallMetaTelescope`, but if `e = forall ..xs, A`\nit will reduce `A` to construct further mvars. "},"Lean.Meta.forallMetaTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1142-L1143","name":"Lean.Meta.forallMetaTelescope","line":1142,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaTelescope","doc":"Given `e` of the form `forall ..xs, A`, this combinator will create a new\nmetavariable for each `x` in `xs` and instantiate `A` with these.\nReturns a product containing\n- the new metavariables\n- the binder info for the `xs`\n- the instantiated `A`\n"},"Lean.Meta.forallMetaBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1152-L1153","name":"Lean.Meta.forallMetaBoundedTelescope","line":1152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallMetaBoundedTelescope","doc":"Similar to `forallMetaTelescopeReducing`, stops\nconstructing the telescope when it reaches size `maxMVars`. "},"Lean.Meta.forallBoundedTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1061-L1062","name":"Lean.Meta.forallBoundedTelescope","line":1061,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.forallBoundedTelescope","doc":"Similar to `forallTelescopeReducing`, stops constructing the telescope when\nit reaches size `maxFVars`. "},"Lean.Meta.forEachExpr'.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L58-L68","name":"Lean.Meta.forEachExpr'.visit","line":58,"kind":"opaque","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'.visit","doc":""},"Lean.Meta.forEachExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L52-L69","name":"Lean.Meta.forEachExpr'","line":52,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr'","doc":"Similar to `Expr.forEach'`, but creates free variables whenever going inside of a binder.\nIf the inner function returns `false`, deeper subexpressions will not be visited.\n "},"Lean.Meta.forEachExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ForEachExpr.lean#L72-L75","name":"Lean.Meta.forEachExpr","line":72,"kind":"def","docLink":"./Lean/Meta/ForEachExpr.html#Lean.Meta.forEachExpr","doc":"Similar to `Expr.forEach`, but creates free variables whenever going inside of a binder. "},"Lean.Meta.foldPatValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Value.lean#L37-L40","name":"Lean.Meta.foldPatValue","line":37,"kind":"def","docLink":"./Lean/Meta/Match/Value.html#Lean.Meta.foldPatValue","doc":"The frontend expands uint numerals occurring in patterns into `UInt*.mk ..` contructor applications.\nThis method convert them back into `UInt*.ofNat ..` applications.\n"},"Lean.Meta.foldAncestors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprLens.lean#L106-L109","name":"Lean.Meta.foldAncestors","line":106,"kind":"def","docLink":"./Lean/Meta/ExprLens.html#Lean.Meta.foldAncestors","doc":"`foldAncestors k init p e` folds over the strict ancestor subexpressions of the given expression `e` above position `p`, starting at the root expression and working down.\nThe fold function `k` is given the newly instantiated free variables, the ancestor subexpression, and the coordinate\nthat will be explored next."},"Lean.Meta.findMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L515-L516","name":"Lean.Meta.findMVarDecl?","line":515,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findMVarDecl?","doc":""},"Lean.Meta.findLocalDeclWithType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L11-L18","name":"Lean.Meta.findLocalDeclWithType?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.findLocalDeclWithType?","doc":"Return a local declaration whose type is definitionally equal to `type`. "},"Lean.Meta.findLocalDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L643-L644","name":"Lean.Meta.findLocalDecl?","line":643,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.findLocalDecl?","doc":""},"Lean.Meta.expandCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L24-L33","name":"Lean.Meta.expandCoe","line":24,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.expandCoe","doc":"Expand coercions occurring in `e` "},"Lean.Meta.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L53-L54","name":"Lean.Meta.existsIntro","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.existsIntro","doc":""},"Lean.Meta.exactlyOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L137-L140","name":"Lean.Meta.exactlyOne","line":137,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.exactlyOne","doc":""},"Lean.Meta.evalNat.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Offset.lean#L36-L61","name":"Lean.Meta.evalNat.visit","line":36,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat.visit","doc":""},"Lean.Meta.evalNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Offset.lean#L27-L61","name":"Lean.Meta.evalNat","line":27,"kind":"opaque","docLink":"./Lean/Meta/Offset.html#Lean.Meta.evalNat","doc":"Evaluate simple `Nat` expressions.\nRemark: this method assumes the given expression has type `Nat`. "},"Lean.Meta.evalExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eval.lean#L10-L24","name":"Lean.Meta.evalExprCore","line":10,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExprCore","doc":""},"Lean.Meta.evalExpr'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eval.lean#L26-L30","name":"Lean.Meta.evalExpr'","line":26,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr'","doc":""},"Lean.Meta.evalExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eval.lean#L32-L35","name":"Lean.Meta.evalExpr","line":32,"kind":"def","docLink":"./Lean/Meta/Eval.html#Lean.Meta.evalExpr","doc":""},"Lean.Meta.etaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1666-L1667","name":"Lean.Meta.etaExpand","line":1666,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.etaExpand","doc":"Eta expand the given expression.\nExample:\n```\netaExpand (mkConst ``Nat.add)\n```\nproduces `fun x y => Nat.add x y`\n"},"Lean.Meta.erasePatternRefAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L165-L166","name":"Lean.Meta.erasePatternRefAnnotations","line":165,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.erasePatternRefAnnotations","doc":""},"Lean.Meta.eraseInaccessibleAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Transform.lean#L162-L163","name":"Lean.Meta.eraseInaccessibleAnnotations","line":162,"kind":"def","docLink":"./Lean/Meta/Transform.html#Lean.Meta.eraseInaccessibleAnnotations","doc":""},"Lean.Meta.eqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Eqns.lean#L57-L58","name":"Lean.Meta.eqnsExt","line":57,"kind":"opaque","docLink":"./Lean/Meta/Eqns.html#Lean.Meta.eqnsExt","doc":""},"Lean.Meta.ensureAtMostOne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L142-L146","name":"Lean.Meta.ensureAtMostOne","line":142,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.ensureAtMostOne","doc":""},"Lean.Meta.elimOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Injective.lean#L26-L31","name":"Lean.Meta.elimOptParam","line":26,"kind":"def","docLink":"./Lean/Meta/Injective.html#Lean.Meta.elimOptParam","doc":""},"Lean.Meta.elimMVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L765-L766","name":"Lean.Meta.elimMVarDeps","line":765,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.elimMVarDeps","doc":""},"Lean.Meta.dsimpGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L1022-L1053","name":"Lean.Meta.dsimpGoal","line":1022,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimpGoal","doc":""},"Lean.Meta.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/Main.lean#L858-L860","name":"Lean.Meta.dsimp","line":858,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/Main.html#Lean.Meta.dsimp","doc":""},"Lean.Meta.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L35-L36","name":"Lean.Meta.deltaTarget","line":35,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaTarget","doc":""},"Lean.Meta.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L47-L48","name":"Lean.Meta.deltaLocalDecl","line":47,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaLocalDecl","doc":""},"Lean.Meta.deltaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L20-L24","name":"Lean.Meta.deltaExpand","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.deltaExpand","doc":"Low-level delta expansion. 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"},"Lean.Meta.delta?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L11-L17","name":"Lean.Meta.delta?","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.Meta.delta?","doc":""},"Lean.Meta.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L43-L44","name":"Lean.Meta.define","line":43,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.define","doc":""},"Lean.Meta.defaultInstanceExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L247-L251","name":"Lean.Meta.defaultInstanceExtension","line":247,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.defaultInstanceExtension","doc":""},"Lean.Meta.decLevel?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L53-L59","name":"Lean.Meta.decLevel?","line":53,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel?","doc":""},"Lean.Meta.decLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L61-L64","name":"Lean.Meta.decLevel","line":61,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.decLevel","doc":""},"Lean.Meta.customEliminatorExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L108-L113","name":"Lean.Meta.customEliminatorExt","line":108,"kind":"opaque","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.customEliminatorExt","doc":""},"Lean.Meta.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L229-L230","name":"Lean.Meta.contradiction","line":229,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.contradiction","doc":""},"Lean.Meta.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L31-L32","name":"Lean.Meta.constructor","line":31,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.Meta.constructor","doc":""},"Lean.Meta.congrExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpCongrTheorems.lean#L45-L50","name":"Lean.Meta.congrExtension","line":45,"kind":"opaque","docLink":"./Lean/Meta/Tactic/Simp/SimpCongrTheorems.html#Lean.Meta.congrExtension","doc":""},"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L119-L128","name":"Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","line":119,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.getSemiOutParamPositionsOf","doc":""},"Lean.Meta.computeSynthOrder.assignMVarsIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L139-L143","name":"Lean.Meta.computeSynthOrder.assignMVarsIn","line":139,"kind":"opaque","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder.assignMVarsIn","doc":""},"Lean.Meta.computeSynthOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L113-L188","name":"Lean.Meta.computeSynthOrder","line":113,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.computeSynthOrder","doc":"Compute the order the arguments of `inst` should by synthesized.\n\nThe synthesization order makes sure that all mvars in non-out-params of the\nsubgoals are assigned before we try to synthesize it. Otherwise it goes left\nto right.\n\nFor example:\n - `[Add α] [Zero α] : Foo α` returns `[0, 1]`\n - `[Mul A] [Mul B] [MulHomClass F A B] : FunLike F A B` returns `[2, 0, 1]`\n (because A B are out-params and are only filled in once we synthesize 2)\n\n(The type of `inst` must not contain mvars.)\n"},"Lean.Meta.compatibleCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Inductive.lean#L13-L21","name":"Lean.Meta.compatibleCtors","line":13,"kind":"def","docLink":"./Lean/Meta/Inductive.html#Lean.Meta.compatibleCtors","doc":"Return true if the types of the given constructors are compatible. "},"Lean.Meta.collectMVarsAtDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CollectMVars.lean#L41-L42","name":"Lean.Meta.collectMVarsAtDecl","line":41,"kind":"def","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVarsAtDecl","doc":""},"Lean.Meta.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CollectMVars.lean#L20-L29","name":"Lean.Meta.collectMVars","line":20,"kind":"opaque","docLink":"./Lean/Meta/CollectMVars.html#Lean.Meta.collectMVars","doc":"Collect unassigned metavariables occuring in the given expression.\n\nRemark: if `e` contains `?m` and there is a `t` assigned to `?m`, we\ncollect unassigned metavariables occurring in `t`.\n\nRemark: if `e` contains `?m` and `?m` is delayed assigned to some term `t`,\nwe collect `?m` and unassigned metavariables occurring in `t`.\nWe collect `?m` because it has not been assigned yet. "},"Lean.Meta.collectForwardDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L741-L742","name":"Lean.Meta.collectForwardDeps","line":741,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.collectForwardDeps","doc":"Collect forward dependencies for the free variables in `toRevert`.\nRecall that when reverting free variables `xs`, we must also revert their forward dependencies.\n"},"Lean.Meta.coerceToSort?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L69-L79","name":"Lean.Meta.coerceToSort?","line":69,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToSort?","doc":"Coerces `expr` to a type. "},"Lean.Meta.coerceToFunction?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L56-L66","name":"Lean.Meta.coerceToFunction?","line":56,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceToFunction?","doc":"Coerces `expr` to a function type. "},"Lean.Meta.coerceSimple?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L41-L53","name":"Lean.Meta.coerceSimple?","line":41,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceSimple?","doc":"Coerces `expr` to `expectedType` using `CoeT`. "},"Lean.Meta.coerceMonadLift?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L155-L197","name":"Lean.Meta.coerceMonadLift?","line":155,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerceMonadLift?","doc":"Try coercions and monad lifts to make sure `e` has type `expectedType`.\n\nIf `expectedType` is of the form `n β`, we try monad lifts and other extensions.\n\nExtensions for monads.\n\n1. Try to unify `n` and `m`. If it succeeds, then we use\n ```\n coeM {m : Type u → Type v} {α β : Type u} [∀ a, CoeT α a β] [Monad m] (x : m α) : m β\n ```\n `n` must be a `Monad` to use this one.\n\n2. If there is monad lift from `m` to `n` and we can unify `α` and `β`, we use\n ```\n liftM : ∀ {m : Type u_1 → Type u_2} {n : Type u_1 → Type u_3} [self : MonadLiftT m n] {α : Type u_1}, m α → n α\n ```\n Note that `n` may not be a `Monad` in this case. This happens quite a bit in code such as\n ```\n def g (x : Nat) : IO Nat := do\n IO.println x\n pure x\n\n def f {m} [MonadLiftT IO m] : m Nat :=\n g 10\n\n ```\n\n3. If there is a monad lift from `m` to `n` and a coercion from `α` to `β`, we use\n ```\n liftCoeM {m : Type u → Type v} {n : Type u → Type w} {α β : Type u} [MonadLiftT m n] [∀ a, CoeT α a β] [Monad n] (x : m α) : n β\n ```\n\nNote that approach 3 does not subsume 1 because it is only applicable if there is a coercion from `α` to `β` for all values in `α`.\nThis is not the case for example for `pure $ x > 0` when the expected type is `IO Bool`. The given type is `IO Prop`, and\nwe only have a coercion from decidable propositions. Approach 1 works because it constructs the coercion `CoeT (m Prop) (pure $ x > 0) (m Bool)`\nusing the instance `pureCoeDepProp`.\n\nNote that, approach 2 is more powerful than `tryCoe`.\nRecall that type class resolution never assigns metavariables created by other modules.\nNow, consider the following scenario\n```lean\ndef g (x : Nat) : IO Nat := ...\ndeg h (x : Nat) : StateT Nat IO Nat := do\nv ← g x;\nIO.Println v;\n...\n```\nLet's assume there is no other occurrence of `v` in `h`.\nThus, we have that the expected of `g x` is `StateT Nat IO ?α`,\nand the given type is `IO Nat`. So, even if we add a coercion.\n```\ninstance {α m n} [MonadLiftT m n] {α} : Coe (m α) (n α) := ...\n```\nIt is not applicable because TC would have to assign `?α := Nat`.\nOn the other hand, TC can easily solve `[MonadLiftT IO (StateT Nat IO)]`\nsince this goal does not contain any metavariables. And then, we\nconvert `g x` into `liftM $ g x`.\n"},"Lean.Meta.coerce?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L203-L210","name":"Lean.Meta.coerce?","line":203,"kind":"def","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coerce?","doc":"Coerces `expr` to the type `expectedType`.\nReturns `.some coerced` on successful coercion,\n`.none` if the expression cannot by coerced to that type,\nor `.undef` if we need more metavariable assignments. "},"Lean.Meta.coeDeclAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L13-L14","name":"Lean.Meta.coeDeclAttr","line":13,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.coeDeclAttr","doc":""},"Lean.Meta.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L38-L39","name":"Lean.Meta.clear","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.Meta.clear","doc":""},"Lean.Meta.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cleanup.lean#L70-L71","name":"Lean.Meta.cleanup","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.Meta.cleanup","doc":""},"Lean.Meta.checkpointDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1593-L1620","name":"Lean.Meta.checkpointDefEq","line":1593,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.checkpointDefEq","doc":"`checkpointDefEq x` executes `x` and process all postponed universe level constraints produced by `x`.\nWe keep the modifications only if `processPostponed` return true and `x` returned `true`.\n\nIf `mayPostpone == false`, all new postponed universe level constraints must be solved before returning.\nWe currently try to postpone universe constraints as much as possible, even when by postponing them we\nare not sure whether `x` really succeeded or not.\n"},"Lean.Meta.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L53-L54","name":"Lean.Meta.checkNotAssigned","line":53,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.Meta.checkNotAssigned","doc":""},"Lean.Meta.checkAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L933-L950","name":"Lean.Meta.checkAssignment","line":933,"kind":"def","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.checkAssignment","doc":"Auxiliary function for handling constraints of the form `?m a₁ ... aₙ =?= v`.\nIt will check whether we can perform the assignment\n```\n?m := fun fvars => v\n```\nThe result is `none` if the assignment can't be performed.\nThe result is `some newV` where `newV` is a possibly updated `v`. This method may need\nto unfold let-declarations. "},"Lean.Meta.checkApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Check.lean#L136-L144","name":"Lean.Meta.checkApp","line":136,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.checkApp","doc":""},"Lean.Meta.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Check.lean#L189-L196","name":"Lean.Meta.check","line":189,"kind":"def","docLink":"./Lean/Meta/Check.html#Lean.Meta.check","doc":"Throw an exception if `e` is not type correct.\n"},"Lean.Meta.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L156-L157","name":"Lean.Meta.changeLocalDecl","line":156,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.changeLocalDecl","doc":""},"Lean.Meta.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L128-L129","name":"Lean.Meta.change","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.Meta.change","doc":""},"Lean.Meta.casesOnStuckLHS?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L52-L53","name":"Lean.Meta.casesOnStuckLHS?","line":52,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS?","doc":""},"Lean.Meta.casesOnStuckLHS.findFVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L27-L50","name":"Lean.Meta.casesOnStuckLHS.findFVar?","line":27,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS.findFVar?","doc":""},"Lean.Meta.casesOnStuckLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L20-L50","name":"Lean.Meta.casesOnStuckLHS","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.casesOnStuckLHS","doc":"Helper method for `proveCondEqThm`. Given a goal of the form `C.rec ... xMajor = rhs`,\napply `cases xMajor`. 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(h_n : x != value[n-1]) |- C x`\nwhere `n = values.size`\nwhere `fvarId` is `x`s id.\nThe type of `x` must have decidable equality.\n\nRemark: the last subgoal is for the \"else\" catchall case, and its `subst` is `{}`.\nRemark: the fiels `newHs` has size 1 forall but the last subgoal.\n\nIf `substNewEqs = true`, then the new `h_i` equality hypotheses are substituted in the first `n` cases.\n"},"Lean.Meta.caseValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/CaseValues.lean#L55-L59","name":"Lean.Meta.caseValue","line":55,"kind":"def","docLink":"./Lean/Meta/Match/CaseValues.html#Lean.Meta.caseValue","doc":""},"Lean.Meta.caseArraySizes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/CaseArraySizes.lean#L60-L87","name":"Lean.Meta.caseArraySizes","line":60,"kind":"def","docLink":"./Lean/Meta/Match/CaseArraySizes.html#Lean.Meta.caseArraySizes","doc":"Split goal `... |- C a` into sizes.size + 1 subgoals\n1) `..., x_1 ... x_{sizes[0]} |- C #[x_1, ... x_{sizes[0]}]`\n...\nn) `..., x_1 ... x_{sizes[n-1]} |- C #[x_1, ..., x_{sizes[n-1]}]`\nn+1) `..., (h_1 : a.size != sizes[0]), ..., (h_n : a.size != sizes[n-1]) |- C a`\nwhere `n = sizes.size` "},"Lean.Meta.canUnfoldAtMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/WHNF.lean#L390-L413","name":"Lean.Meta.canUnfoldAtMatcher","line":390,"kind":"def","docLink":"./Lean/Meta/WHNF.html#Lean.Meta.canUnfoldAtMatcher","doc":"The \"match\" compiler uses `if-then-else` expressions and other auxiliary declarations to compile match-expressions such as\n```\nmatch v with\n| 'a' => 1\n| 'b' => 2\n| _ => 3\n```\nbecause it is more efficient than using `casesOn` recursors.\nThe method `reduceMatcher?` fails if these auxiliary definitions (e.g., `ite`) cannot be unfolded in the current\ntransparency setting. This is problematic because tactics such as `simp` use `TransparencyMode.reducible`, and\nmost users assume that expressions such as\n```\nmatch 0 with\n| 0 => 1\n| 100 => 2\n| _ => 3\n```\nshould reduce in any transparency mode.\nThus, we define a custom `canUnfoldAtMatcher` predicate for `whnfMatcher`.\n\nThis solution is not very modular because modifications at the `match` compiler require changes here.\nWe claim this is defensible because it is reducing the auxiliary declaration defined by the `match` compiler.\n\nAlternative solution: tactics that use `TransparencyMode.reducible` should rely on the equations we generated for match-expressions.\nThis solution is also not perfect because the match-expression above will not reduce during type checking when we are not using\n`TransparencyMode.default` or `TransparencyMode.all`.\n"},"Lean.Meta.canUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/GetUnfoldableConst.lean#L22-L27","name":"Lean.Meta.canUnfold","line":22,"kind":"def","docLink":"./Lean/Meta/GetUnfoldableConst.html#Lean.Meta.canUnfold","doc":""},"Lean.Meta.auxLemmasExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L15-L15","name":"Lean.Meta.auxLemmasExt","line":15,"kind":"opaque","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.auxLemmasExt","doc":""},"Lean.Meta.autoLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Coe.lean#L35-L38","name":"Lean.Meta.autoLift","line":35,"kind":"opaque","docLink":"./Lean/Meta/Coe.html#Lean.Meta.autoLift","doc":""},"Lean.Meta.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L29-L30","name":"Lean.Meta.assumptionCore","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumptionCore","doc":""},"Lean.Meta.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L38-L39","name":"Lean.Meta.assumption","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.Meta.assumption","doc":""},"Lean.Meta.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L113-L114","name":"Lean.Meta.assertHypotheses","line":113,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertHypotheses","doc":""},"Lean.Meta.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L63-L64","name":"Lean.Meta.assertExt","line":63,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertExt","doc":""},"Lean.Meta.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L87-L88","name":"Lean.Meta.assertAfter","line":87,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assertAfter","doc":""},"Lean.Meta.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L26-L27","name":"Lean.Meta.assert","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.assert","doc":""},"Lean.Meta.approxDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1354-L1355","name":"Lean.Meta.approxDefEq","line":1354,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.approxDefEq","doc":"Execute `x` using approximate unification: `foApprox`, `ctxApprox` and `quasiPatternApprox`. 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two expressions `a` and `b`, this method tries to annotate terms with `pp.explicit := true` to\nexpose \"implicit\" differences. 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"},"Lean.Meta.SynthInstance.synth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L569-L575","name":"Lean.Meta.SynthInstance.synth","line":569,"kind":"opaque","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.synth","doc":""},"Lean.Meta.SynthInstance.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L554-L564","name":"Lean.Meta.SynthInstance.step","line":554,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.step","doc":""},"Lean.Meta.SynthInstance.resume":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L537-L552","name":"Lean.Meta.SynthInstance.resume","line":537,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.resume","doc":"Given `(cNode, answer)` on the top of the resume stack, continue execution by using `answer` to solve the\nnext subgoal. 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"},"Lean.Meta.SynthInstance.modifyTop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L506-L507","name":"Lean.Meta.SynthInstance.modifyTop","line":506,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.modifyTop","doc":""},"Lean.Meta.SynthInstance.mkTableKeyFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L266-L270","name":"Lean.Meta.SynthInstance.mkTableKeyFor","line":266,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkTableKeyFor","doc":"Create a `key` for the goal associated with the given metavariable.\nThat is, we create a key for the type of the metavariable.\n\nWe must instantiate assigned metavariables before we invoke `mkTableKey`. "},"Lean.Meta.SynthInstance.mkTableKey":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L144-L147","name":"Lean.Meta.SynthInstance.mkTableKey","line":144,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkTableKey","doc":"Remark: `mkTableKey` assumes `e` does not contain assigned metavariables. "},"Lean.Meta.SynthInstance.mkGeneratorNode?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L225-L236","name":"Lean.Meta.SynthInstance.mkGeneratorNode?","line":225,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mkGeneratorNode?","doc":""},"Lean.Meta.SynthInstance.mapMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L181-L182","name":"Lean.Meta.SynthInstance.mapMetaM","line":181,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.mapMetaM","doc":""},"Lean.Meta.SynthInstance.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L577-L590","name":"Lean.Meta.SynthInstance.main","line":577,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.main","doc":""},"Lean.Meta.SynthInstance.isNewAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L367-L371","name":"Lean.Meta.SynthInstance.isNewAnswer","line":367,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.isNewAnswer","doc":""},"Lean.Meta.SynthInstance.instInhabitedSynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L184-L185","name":"Lean.Meta.SynthInstance.instInhabitedSynthM","line":184,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedSynthM","doc":""},"Lean.Meta.SynthInstance.instInhabitedInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L35-L35","name":"Lean.Meta.SynthInstance.instInhabitedInstance","line":35,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedInstance","doc":""},"Lean.Meta.SynthInstance.instInhabitedGeneratorNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L43-L43","name":"Lean.Meta.SynthInstance.instInhabitedGeneratorNode","line":43,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedGeneratorNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedConsumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L51-L51","name":"Lean.Meta.SynthInstance.instInhabitedConsumerNode","line":51,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedConsumerNode","doc":""},"Lean.Meta.SynthInstance.instInhabitedAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L153-L153","name":"Lean.Meta.SynthInstance.instInhabitedAnswer","line":153,"kind":"instance","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.instInhabitedAnswer","doc":""},"Lean.Meta.SynthInstance.getTop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L503-L504","name":"Lean.Meta.SynthInstance.getTop","line":503,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getTop","doc":""},"Lean.Meta.SynthInstance.getSubgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L298-L320","name":"Lean.Meta.SynthInstance.getSubgoals","line":298,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getSubgoals","doc":"`getSubgoals lctx localInsts xs inst` creates the subgoals for the instance `inst`.\nThe subgoals are in the context of the free variables `xs`, and\n`(lctx, localInsts)` is the local context and instances before we added the free variables to it.\n\nThis extra complication is required because\n 1- We want all metavariables created by `synthInstance` to share the same local context.\n 2- We want to ensure that applications such as `mvar xs` are higher order patterns.\n\nThe method `getGoals` create a new metavariable for each parameter of `inst`.\nFor example, suppose the type of `inst` is `forall (x_1 : A_1) ... (x_n : A_n), B x_1 ... x_n`.\nThen, we create the metavariables `?m_i : forall xs, A_i`, and return the subset of these\nmetavariables that are instance implicit arguments, and the expressions:\n - `inst (?m_1 xs) ... (?m_n xs)` (aka `instVal`)\n - `B (?m_1 xs) ... (?m_n xs)` "},"Lean.Meta.SynthInstance.getResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L566-L567","name":"Lean.Meta.SynthInstance.getResult","line":566,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getResult","doc":""},"Lean.Meta.SynthInstance.getNextToResume":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L529-L532","name":"Lean.Meta.SynthInstance.getNextToResume","line":529,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getNextToResume","doc":""},"Lean.Meta.SynthInstance.getMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L29-L30","name":"Lean.Meta.SynthInstance.getMaxHeartbeats","line":29,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.getInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L188-L223","name":"Lean.Meta.SynthInstance.getInstances","line":188,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getInstances","doc":"Return globals and locals instances that may unify with `type` "},"Lean.Meta.SynthInstance.getEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L256-L259","name":"Lean.Meta.SynthInstance.getEntry","line":256,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.getEntry","doc":""},"Lean.Meta.SynthInstance.generate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L510-L527","name":"Lean.Meta.SynthInstance.generate","line":510,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.generate","doc":"Try the next instance in the node on the top of the generator stack. "},"Lean.Meta.SynthInstance.findEntry?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L253-L254","name":"Lean.Meta.SynthInstance.findEntry?","line":253,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.findEntry?","doc":""},"Lean.Meta.SynthInstance.consume":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L454-L501","name":"Lean.Meta.SynthInstance.consume","line":454,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.consume","doc":"Process the next subgoal in the given consumer node. "},"Lean.Meta.SynthInstance.checkMaxHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L178-L179","name":"Lean.Meta.SynthInstance.checkMaxHeartbeats","line":178,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.checkMaxHeartbeats","doc":""},"Lean.Meta.SynthInstance.addAnswer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L385-L399","name":"Lean.Meta.SynthInstance.addAnswer","line":385,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.addAnswer","doc":"Create a new answer after `cNode` resolved all subgoals.\nThat is, `cNode.subgoals == []`.\nAnd then, store it in the tabled entries map, and wakeup waiters. "},"Lean.Meta.SynthInstance.Waiter.root":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L55-L55","name":"Lean.Meta.SynthInstance.Waiter.root","line":55,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.root","doc":""},"Lean.Meta.SynthInstance.Waiter.isRoot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L57-L59","name":"Lean.Meta.SynthInstance.Waiter.isRoot","line":57,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.isRoot","doc":""},"Lean.Meta.SynthInstance.Waiter.consumerNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L54-L54","name":"Lean.Meta.SynthInstance.Waiter.consumerNode","line":54,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter.consumerNode","doc":""},"Lean.Meta.SynthInstance.Waiter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L53-L55","name":"Lean.Meta.SynthInstance.Waiter","line":53,"kind":"inductive","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.Waiter","doc":""},"Lean.Meta.SynthInstance.TableEntry.waiters":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L156-L156","name":"Lean.Meta.SynthInstance.TableEntry.waiters","line":156,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.waiters","doc":""},"Lean.Meta.SynthInstance.TableEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.TableEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.mk","doc":""},"Lean.Meta.SynthInstance.TableEntry.answers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L157-L157","name":"Lean.Meta.SynthInstance.TableEntry.answers","line":157,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry.answers","doc":""},"Lean.Meta.SynthInstance.TableEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L155-L157","name":"Lean.Meta.SynthInstance.TableEntry","line":155,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.TableEntry","doc":""},"Lean.Meta.SynthInstance.SynthM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L176-L176","name":"Lean.Meta.SynthInstance.SynthM","line":176,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SynthM","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.subgoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L279-L279","name":"Lean.Meta.SynthInstance.SubgoalsResult.subgoals","line":279,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.subgoals","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L1-L1","name":"Lean.Meta.SynthInstance.SubgoalsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.mk","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L280-L280","name":"Lean.Meta.SynthInstance.SubgoalsResult.instVal","line":280,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instVal","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L281-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","line":281,"kind":"def","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult.instTypeBody","doc":""},"Lean.Meta.SynthInstance.SubgoalsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/SynthInstance.lean#L278-L281","name":"Lean.Meta.SynthInstance.SubgoalsResult","line":278,"kind":"structure","docLink":"./Lean/Meta/SynthInstance.html#Lean.Meta.SynthInstance.SubgoalsResult","doc":"See `getSubgoals` and `getSubgoalsAux`\n\nWe use the parameter `j` to reduce the number of `instantiate*` invocations.\nIt is the same approach we use at `forallTelescope` and `lambdaTelescope`.\nGiven `getSubgoalsAux args j subgoals instVal type`,\nwe have that `type.instantiateRevRange j args.size args` does not have loose bound variables. 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`SimpTheorems`.\n"},"Lean.Meta.SimpTheorem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L1-L1","name":"Lean.Meta.SimpTheorem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.mk","doc":""},"Lean.Meta.SimpTheorem.levelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L82-L82","name":"Lean.Meta.SimpTheorem.levelParams","line":82,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.levelParams","doc":"It stores universe parameter names for universe polymorphic proofs.\nRecall that it is non-empty only when we elaborate an expression provided by the user.\nWhen `proof` is just a constant, we can use the universe parameter names stored in the declaration.\n"},"Lean.Meta.SimpTheorem.keys":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L76-L76","name":"Lean.Meta.SimpTheorem.keys","line":76,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.keys","doc":""},"Lean.Meta.SimpTheorem.getValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L410-L419","name":"Lean.Meta.SimpTheorem.getValue","line":410,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem.getValue","doc":""},"Lean.Meta.SimpTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L75-L95","name":"Lean.Meta.SimpTheorem","line":75,"kind":"structure","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.SimpTheorem","doc":"The fields `levelParams` and `proof` are used to encode the proof of the simp theorem.\nIf the `proof` is a global declaration `c`, we store `Expr.const c []` at `proof` without the universe levels, and `levelParams` is set to `#[]`\nWhen using the lemma, we create fresh universe metavariables.\nMotivation: most simp theorems are global declarations, and this approach is faster and saves memory.\n\nThe field `levelParams` is not empty only when we elaborate an expression provided by the user, and it contains universe metavariables.\nThen, we use `abstractMVars` to abstract the universe metavariables and create new fresh universe parameters that are stored at the field 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The `simp` tactic also uses some of 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See `mkCongrSimp?`. 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This is used for reporting errors back to the user. "},"Lean.Meta.PostponedEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.PostponedEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.mk","doc":""},"Lean.Meta.PostponedEntry.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L240-L240","name":"Lean.Meta.PostponedEntry.lhs","line":240,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.lhs","doc":""},"Lean.Meta.PostponedEntry.ctx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L243-L243","name":"Lean.Meta.PostponedEntry.ctx?","line":243,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry.ctx?","doc":"Context for the surrounding `isDefEq` call when entry was created. "},"Lean.Meta.PostponedEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L237-L244","name":"Lean.Meta.PostponedEntry","line":237,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.PostponedEntry","doc":"Auxiliary structure for representing postponed universe constraints.\nRemark: the fields `ref` and `rootDefEq?` are used for error message generation only.\nRemark: we may consider improving the error message generation in the future.\n"},"Lean.Meta.ParamInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.ParamInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.mk","doc":""},"Lean.Meta.ParamInfo.isStrictImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L158-L159","name":"Lean.Meta.ParamInfo.isStrictImplicit","line":158,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isStrictImplicit","doc":""},"Lean.Meta.ParamInfo.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L116-L116","name":"Lean.Meta.ParamInfo.isProp","line":116,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isProp","doc":"`isProp` is true if the parameter is always a proposition. "},"Lean.Meta.ParamInfo.isInstImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L155-L156","name":"Lean.Meta.ParamInfo.isInstImplicit","line":155,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isInstImplicit","doc":""},"Lean.Meta.ParamInfo.isImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L152-L153","name":"Lean.Meta.ParamInfo.isImplicit","line":152,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isImplicit","doc":""},"Lean.Meta.ParamInfo.isExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L161-L162","name":"Lean.Meta.ParamInfo.isExplicit","line":161,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isExplicit","doc":""},"Lean.Meta.ParamInfo.isDecInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L121-L121","name":"Lean.Meta.ParamInfo.isDecInst","line":121,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.isDecInst","doc":"`isDecInst` is true if the parameter's type is of the form `Decidable ...`.\nThis information affects the generation of congruence theorems.\n"},"Lean.Meta.ParamInfo.higherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L135-L135","name":"Lean.Meta.ParamInfo.higherOrderOutParam","line":135,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.higherOrderOutParam","doc":"`higherOrderOutParam` is true if this parameter is a higher-order output parameter\nof local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter `dom` because it is output parameter of\n`[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.hasFwdDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L112-L112","name":"Lean.Meta.ParamInfo.hasFwdDeps","line":112,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.hasFwdDeps","doc":"`hasFwdDeps` is true if there is another parameter whose type depends on this one. "},"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L149-L149","name":"Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","line":149,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.dependsOnHigherOrderOutParam","doc":"`dependsOnHigherOrderOutParam` is true if the type of this parameter depends on\nthe higher-order output parameter of a previous local instance.\nExample:\n```\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → dom xs i → elem\n```\nThis flag is true for the parameter with type `dom xs i` since `dom` is an output parameter\nof the instance `[self : GetElem cont idx elem dom]`\n"},"Lean.Meta.ParamInfo.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L110-L110","name":"Lean.Meta.ParamInfo.binderInfo","line":110,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.binderInfo","doc":"The binder annotation for the parameter. "},"Lean.Meta.ParamInfo.backDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L114-L114","name":"Lean.Meta.ParamInfo.backDeps","line":114,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo.backDeps","doc":"`backDeps` contains the backwards dependencies. That is, the (0-indexed) position of previous parameters that this one depends on. "},"Lean.Meta.ParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L108-L150","name":"Lean.Meta.ParamInfo","line":108,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.ParamInfo","doc":"Function parameter information cache.\n"},"Lean.Meta.Origin.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L29-L34","name":"Lean.Meta.Origin.stx","line":29,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.stx","doc":"A proof term provided directly to a call to `simp [ref, ...]` where `ref`\nis the provided simp argument (of kind `Parser.Tactic.simpLemma`).\nThe `id` is a unique identifier for the call.\n"},"Lean.Meta.Origin.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L35-L40","name":"Lean.Meta.Origin.other","line":35,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.other","doc":"Some other origin. `name` should not collide with the other types\nfor erasure to work correctly, and simp trace will ignore this lemma.\nThe other origins should be preferred if possible.\n"},"Lean.Meta.Origin.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L44-L48","name":"Lean.Meta.Origin.key","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.key","doc":"A unique identifier corresponding to the origin. "},"Lean.Meta.Origin.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L22-L28","name":"Lean.Meta.Origin.fvar","line":22,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.fvar","doc":"A local hypothesis.\nWhen `contextual := true` is enabled, this fvar may exist in an extension\nof the current local context; it will not be used for rewriting by simp once\nit is out of scope but it may end up in the `usedSimps` trace.\n"},"Lean.Meta.Origin.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L20-L21","name":"Lean.Meta.Origin.decl","line":20,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin.decl","doc":"A global declaration in the environment. "},"Lean.Meta.Origin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Simp/SimpTheorems.lean#L19-L41","name":"Lean.Meta.Origin","line":19,"kind":"inductive","docLink":"./Lean/Meta/Tactic/Simp/SimpTheorems.html#Lean.Meta.Origin","doc":"An `Origin` is an identifier for simp theorems which indicates roughly\nwhat action the user took which lead to this theorem existing in the simp set.\n"},"Lean.Meta.MetaM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L331-L333","name":"Lean.Meta.MetaM.toIO","line":331,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.toIO","doc":""},"Lean.Meta.MetaM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L328-L329","name":"Lean.Meta.MetaM.run'","line":328,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run'","doc":""},"Lean.Meta.MetaM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L325-L326","name":"Lean.Meta.MetaM.run","line":325,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM.run","doc":""},"Lean.Meta.MetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L289-L289","name":"Lean.Meta.MetaM","line":289,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.MetaM","doc":""},"Lean.Meta.MatcherApp.uElimPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L133-L133","name":"Lean.Meta.MatcherApp.uElimPos?","line":133,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.uElimPos?","doc":""},"Lean.Meta.MatcherApp.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L164-L169","name":"Lean.Meta.MatcherApp.toExpr","line":164,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.toExpr","doc":""},"Lean.Meta.MatcherApp.remaining":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L139-L139","name":"Lean.Meta.MatcherApp.remaining","line":139,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.remaining","doc":""},"Lean.Meta.MatcherApp.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L134-L134","name":"Lean.Meta.MatcherApp.params","line":134,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.params","doc":""},"Lean.Meta.MatcherApp.motive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L135-L135","name":"Lean.Meta.MatcherApp.motive","line":135,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.motive","doc":""},"Lean.Meta.MatcherApp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.MatcherApp.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.mk","doc":""},"Lean.Meta.MatcherApp.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L131-L131","name":"Lean.Meta.MatcherApp.matcherName","line":131,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherName","doc":""},"Lean.Meta.MatcherApp.matcherLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L132-L132","name":"Lean.Meta.MatcherApp.matcherLevels","line":132,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.matcherLevels","doc":""},"Lean.Meta.MatcherApp.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L136-L136","name":"Lean.Meta.MatcherApp.discrs","line":136,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.discrs","doc":""},"Lean.Meta.MatcherApp.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L138-L138","name":"Lean.Meta.MatcherApp.alts","line":138,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.alts","doc":""},"Lean.Meta.MatcherApp.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L137-L137","name":"Lean.Meta.MatcherApp.altNumParams","line":137,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp.altNumParams","doc":""},"Lean.Meta.MatcherApp.addArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L955-L959","name":"Lean.Meta.MatcherApp.addArg?","line":955,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg?","doc":"Similar `MatcherApp.addArg?`, but returns `none` on failure. "},"Lean.Meta.MatcherApp.addArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L919-L952","name":"Lean.Meta.MatcherApp.addArg","line":919,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.MatcherApp.addArg","doc":"Given\n- matcherApp `match_i As (fun xs => motive[xs]) discrs (fun ys_1 => (alt_1 : motive (C_1[ys_1])) ... (fun ys_n => (alt_n : motive (C_n[ys_n]) remaining`, and\n- expression `e : B[discrs]`,\nConstruct the term\n`match_i As (fun xs => B[xs] -> motive[xs]) discrs (fun ys_1 (y : B[C_1[ys_1]]) => alt_1) ... (fun ys_n (y : B[C_n[ys_n]]) => alt_n) e remaining`, and\nWe use `kabstract` to abstract the discriminants from `B[discrs]`.\nThis method assumes\n- the `matcherApp.motive` is a lambda abstraction where `xs.size == discrs.size`\n- each alternative is a lambda abstraction where `ys_i.size == matcherApp.altNumParams[i]`\n"},"Lean.Meta.MatcherApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L130-L139","name":"Lean.Meta.MatcherApp","line":130,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.MatcherApp","doc":""},"Lean.Meta.Match.withMkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L879-L887","name":"Lean.Meta.Match.withMkMatcherInput","line":879,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withMkMatcherInput","doc":"This function is only used for testing purposes "},"Lean.Meta.Match.withGoalOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L299-L300","name":"Lean.Meta.Match.withGoalOf","line":299,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.withGoalOf","doc":""},"Lean.Meta.Match.withCleanLCtxFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L736-L742","name":"Lean.Meta.Match.withCleanLCtxFor","line":736,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.withCleanLCtxFor","doc":"Auxiliary method used at `mkMatcher`. It executes `k` in a local context that contains only\nthe local declarations `m` depends on. This is important because otherwise dependent elimination\nmay \"refine\" the types of unnecessary declarations and accidentally introduce unnecessary dependencies\nin the auto-generated auxiliary declaration. Note that this is not just an optimization because the\nunnecessary dependencies may prevent the termination checker from succeeding. For an example,\nsee issue #1237.\n"},"Lean.Meta.Match.unfoldNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L57-L63","name":"Lean.Meta.Match.unfoldNamedPattern","line":57,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.unfoldNamedPattern","doc":""},"Lean.Meta.Match.toPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L332-L360","name":"Lean.Meta.Match.toPattern","line":332,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.toPattern","doc":"Convert a expression occurring as the argument of a `match` motive application back into a `Pattern`\nFor example, we can use this method to convert `x::y::xs` at\n```\n...\n(motive : List Nat → Sort u_1) (xs : List Nat) (h_1 : (x y : Nat) → (xs : List Nat) → motive (x :: y :: xs))\n...\n```\ninto a pattern object\n"},"Lean.Meta.Match.registerMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L27-L28","name":"Lean.Meta.Match.registerMatchEqns","line":27,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.registerMatchEqns","doc":""},"Lean.Meta.Match.proveCondEqThm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L299-L323","name":"Lean.Meta.Match.proveCondEqThm.go","line":299,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm.go","doc":""},"Lean.Meta.Match.proveCondEqThm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L290-L323","name":"Lean.Meta.Match.proveCondEqThm","line":290,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.proveCondEqThm","doc":"Helper method for proving a conditional equational theorem associated with an alternative of\nthe `match`-eliminator `matchDeclName`. `type` contains the type of the theorem. "},"Lean.Meta.Match.processInaccessibleAsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L373-L390","name":"Lean.Meta.Match.processInaccessibleAsCtor","line":373,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.processInaccessibleAsCtor","doc":"Given `alt` s.t. the next pattern is an inaccessible pattern `e`,\ntry to normalize `e` into a constructor application.\nIf it is not a constructor, throw an error.\nOtherwise, if it is a constructor application of `ctorName`,\nupdate the next patterns with the fields of the constructor.\nOtherwise, return none. "},"Lean.Meta.Match.mkNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L13-L14","name":"Lean.Meta.Match.mkNamedPattern","line":13,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.mkNamedPattern","doc":""},"Lean.Meta.Match.mkMatcherAuxDefinition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L682-L708","name":"Lean.Meta.Match.mkMatcherAuxDefinition","line":682,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcherAuxDefinition","doc":"Similar to `mkAuxDefinition`, but uses the cache `matcherExt`.\nIt also returns an Boolean that indicates whether a new matcher function was added to the environment or not. "},"Lean.Meta.Match.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L753-L846","name":"Lean.Meta.Match.mkMatcher","line":753,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.mkMatcher","doc":"Create a dependent matcher for `matchType` where `matchType` is of the form\n`(a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> B[a_1, ..., a_n]`\nwhere `n = numDiscrs`, and the `lhss` are the left-hand-sides of the `match`-expression alternatives.\nEach `AltLHS` has a list of local declarations and a list of patterns.\nThe number of patterns must be the same in each `AltLHS`.\nThe generated matcher has the structure described at `MatcherInfo`. The motive argument is of the form\n`(motive : (a_1 : A_1) -> (a_2 : A_2[a_1]) -> ... -> (a_n : A_n[a_1, a_2, ... a_{n-1}]) -> Sort v)`\nwhere `v` is a universe parameter or 0 if `B[a_1, ..., a_n]` is a proposition. "},"Lean.Meta.Match.matcherExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L678-L678","name":"Lean.Meta.Match.matcherExt","line":678,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.matcherExt","doc":""},"Lean.Meta.Match.matchEqnsExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L24-L25","name":"Lean.Meta.Match.matchEqnsExt","line":24,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.matchEqnsExt","doc":""},"Lean.Meta.Match.isNamedPattern?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L20-L25","name":"Lean.Meta.Match.isNamedPattern?","line":20,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern?","doc":""},"Lean.Meta.Match.isNamedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L16-L18","name":"Lean.Meta.Match.isNamedPattern","line":16,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.isNamedPattern","doc":""},"Lean.Meta.Match.isCurrVarInductive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L603-L608","name":"Lean.Meta.Match.isCurrVarInductive","line":603,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.isCurrVarInductive","doc":""},"Lean.Meta.Match.instantiatePatternMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L111-L117","name":"Lean.Meta.Match.instantiatePatternMVars","line":111,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiatePatternMVars","doc":""},"Lean.Meta.Match.instantiateAltLHSMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L128-L132","name":"Lean.Meta.Match.instantiateAltLHSMVars","line":128,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instantiateAltLHSMVars","doc":""},"Lean.Meta.Match.instReprMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instReprMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instReprMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedProblem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L297-L297","name":"Lean.Meta.Match.instInhabitedProblem","line":297,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedProblem","doc":""},"Lean.Meta.Match.instInhabitedPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L34-L34","name":"Lean.Meta.Match.instInhabitedPattern","line":34,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedPattern","doc":""},"Lean.Meta.Match.instInhabitedMatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L21-L21","name":"Lean.Meta.Match.instInhabitedMatchEqnsExtState","line":21,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqnsExtState","doc":""},"Lean.Meta.Match.instInhabitedMatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedMatchEqns","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.instInhabitedMatchEqns","doc":""},"Lean.Meta.Match.instInhabitedDiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L14-L14","name":"Lean.Meta.Match.instInhabitedDiscrInfo","line":14,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.instInhabitedDiscrInfo","doc":""},"Lean.Meta.Match.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L162-L162","name":"Lean.Meta.Match.instInhabitedAlt","line":162,"kind":"instance","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.instInhabitedAlt","doc":""},"Lean.Meta.Match.getNumEqsFromDiscrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L56-L61","name":"Lean.Meta.Match.getNumEqsFromDiscrInfos","line":56,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.getNumEqsFromDiscrInfos","doc":""},"Lean.Meta.Match.getMkMatcherInputInContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L848-L876","name":"Lean.Meta.Match.getMkMatcherInputInContext","line":848,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.getMkMatcherInputInContext","doc":""},"Lean.Meta.Match.getEquationsForImpl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L698-L701","name":"Lean.Meta.Match.getEquationsForImpl","line":698,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.getEquationsForImpl","doc":""},"Lean.Meta.Match.getEquationsFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L34-L34","name":"Lean.Meta.Match.getEquationsFor","line":34,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.getEquationsFor","doc":""},"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L126-L131","name":"Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","line":126,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.isNamedPatternProof","doc":""},"Lean.Meta.Match.forallAltTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L88-L124","name":"Lean.Meta.Match.forallAltTelescope.go","line":88,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope.go","doc":""},"Lean.Meta.Match.forallAltTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L83-L131","name":"Lean.Meta.Match.forallAltTelescope","line":83,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.forallAltTelescope","doc":"Similar to `forallTelescopeReducing`, but\n\n1. Eliminates arguments for named parameters and the associated equation proofs.\n\n2. Equality parameters associated with the `h : discr` notation are replaced with `rfl` proofs.\n Recall that this kind of parameter always occurs after the parameters correspoting to pattern variables.\n `numNonEqParams` is the size of the prefix.\n\nThe continuation `k` takes four arguments `ys args mask type`.\n- `ys` are variables for the hypotheses that have not been eliminated.\n- `eqs` are variables for equality hypotheses associated with discriminants annotated with `h : discr`.\n- `args` are the arguments for the alternative `alt` that has type `altType`. `ys.size <= args.size`\n- `mask[i]` is true if the hypotheses has not been eliminated. `mask.size == args.size`.\n- `type` is the resulting type for `altType`.\n\nWe use the `mask` to build the splitter proof. See `mkSplitterProof`.\n"},"Lean.Meta.Match.examplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L289-L290","name":"Lean.Meta.Match.examplesToMessageData","line":289,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.examplesToMessageData","doc":""},"Lean.Meta.Match.counterExamplesToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L313-L314","name":"Lean.Meta.Match.counterExamplesToMessageData","line":313,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExamplesToMessageData","doc":""},"Lean.Meta.Match.counterExampleToMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L310-L311","name":"Lean.Meta.Match.counterExampleToMessageData","line":310,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.counterExampleToMessageData","doc":""},"Lean.Meta.Match.bootstrap.genMatcherCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L672-L676","name":"Lean.Meta.Match.bootstrap.genMatcherCode","line":672,"kind":"opaque","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.bootstrap.genMatcherCode","doc":""},"Lean.Meta.Match.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L94-L95","name":"Lean.Meta.Match.addMatcherInfo","line":94,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.addMatcherInfo","doc":""},"Lean.Meta.Match.State.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L67-L67","name":"Lean.Meta.Match.State.used","line":67,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.used","doc":""},"Lean.Meta.Match.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.mk","doc":""},"Lean.Meta.Match.State.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L68-L68","name":"Lean.Meta.Match.State.counterExamples","line":68,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State.counterExamples","doc":""},"Lean.Meta.Match.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L66-L68","name":"Lean.Meta.Match.State","line":66,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.State","doc":""},"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L187-L196","name":"Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","line":187,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.trySubstVarsAndContradiction","doc":"Auxiliary tactic that tries to replace as many variables as possible and then apply `contradiction`.\nWe use it to discard redundant hypotheses.\n"},"Lean.Meta.Match.SimpH.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L241-L247","name":"Lean.Meta.Match.SimpH.go","line":241,"kind":"opaque","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.go","doc":""},"Lean.Meta.Match.SimpH.State.xs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L147-L147","name":"Lean.Meta.Match.SimpH.State.xs","line":147,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.xs","doc":""},"Lean.Meta.Match.SimpH.State.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L146-L146","name":"Lean.Meta.Match.SimpH.State.mvarId","line":146,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mvarId","doc":""},"Lean.Meta.Match.SimpH.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L1-L1","name":"Lean.Meta.Match.SimpH.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.mk","doc":""},"Lean.Meta.Match.SimpH.State.eqsNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L149-L149","name":"Lean.Meta.Match.SimpH.State.eqsNew","line":149,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqsNew","doc":""},"Lean.Meta.Match.SimpH.State.eqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L148-L148","name":"Lean.Meta.Match.SimpH.State.eqs","line":148,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State.eqs","doc":""},"Lean.Meta.Match.SimpH.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L145-L149","name":"Lean.Meta.Match.SimpH.State","line":145,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.State","doc":"State for the equational theorem hypothesis simplifier.\n\nRecall that each equation contains additional hypotheses to ensure the associated case does not taken by previous cases.\nWe have one hypothesis for each previous case.\n\nEach hypothesis is of the form `forall xs, eqs → False`\n\nWe use tactics to minimize code duplication.\n"},"Lean.Meta.Match.SimpH.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L151-L151","name":"Lean.Meta.Match.SimpH.M","line":151,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.SimpH.M","doc":""},"Lean.Meta.Match.Problem.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L294-L294","name":"Lean.Meta.Match.Problem.vars","line":294,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.vars","doc":""},"Lean.Meta.Match.Problem.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L302-L306","name":"Lean.Meta.Match.Problem.toMessageData","line":302,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.toMessageData","doc":""},"Lean.Meta.Match.Problem.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L293-L293","name":"Lean.Meta.Match.Problem.mvarId","line":293,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mvarId","doc":""},"Lean.Meta.Match.Problem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Problem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.mk","doc":""},"Lean.Meta.Match.Problem.examples":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L296-L296","name":"Lean.Meta.Match.Problem.examples","line":296,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.examples","doc":""},"Lean.Meta.Match.Problem.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L295-L295","name":"Lean.Meta.Match.Problem.alts","line":295,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem.alts","doc":""},"Lean.Meta.Match.Problem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L292-L297","name":"Lean.Meta.Match.Problem","line":292,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Problem","doc":""},"Lean.Meta.Match.Pattern.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L29-L29","name":"Lean.Meta.Match.Pattern.var","line":29,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.var","doc":""},"Lean.Meta.Match.Pattern.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L31-L31","name":"Lean.Meta.Match.Pattern.val","line":31,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.val","doc":""},"Lean.Meta.Match.Pattern.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L38-L45","name":"Lean.Meta.Match.Pattern.toMessageData","line":38,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toMessageData","doc":""},"Lean.Meta.Match.Pattern.toExpr.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L50-L70","name":"Lean.Meta.Match.Pattern.toExpr.visit","line":50,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr.visit","doc":""},"Lean.Meta.Match.Pattern.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L47-L70","name":"Lean.Meta.Match.Pattern.toExpr","line":47,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.toExpr","doc":""},"Lean.Meta.Match.Pattern.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L85-L87","name":"Lean.Meta.Match.Pattern.replaceFVarId","line":85,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.replaceFVarId","doc":""},"Lean.Meta.Match.Pattern.inaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L28-L28","name":"Lean.Meta.Match.Pattern.inaccessible","line":28,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern.inaccessible","doc":""},"Lean.Meta.Match.Pattern.hasExprMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L89-L95","name":"Lean.Meta.Matc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the free variable substitution `s` to the given pattern "},"Lean.Meta.Match.Pattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L27-L34","name":"Lean.Meta.Match.Pattern","line":27,"kind":"inductive","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Pattern","doc":""},"Lean.Meta.Match.MkMatcherInput.numDiscrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L716-L717","name":"Lean.Meta.Match.MkMatcherInput.numDiscrs","line":716,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.numDiscrs","doc":""},"Lean.Meta.Match.MkMatcherInput.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L1-L1","name":"Lean.Meta.Match.MkMatcherInput.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.mk","doc":""},"Lean.Meta.Match.MkMatcherInput.matcherName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L711-L711","name":"Lean.Meta.Match.MkMatcherInput.matcherName","line":711,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matcherName","doc":""},"Lean.Meta.Match.MkMatcherInput.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L712-L712","name":"Lean.Meta.Match.MkMatcherInput.matchType","line":712,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.matchType","doc":""},"Lean.Meta.Match.MkMatcherInput.lhss":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L714-L714","name":"Lean.Meta.Match.MkMatcherInput.lhss","line":714,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.lhss","doc":""},"Lean.Meta.Match.MkMatcherInput.discrInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L713-L713","name":"Lean.Meta.Match.MkMatcherInput.discrInfos","line":713,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.discrInfos","doc":""},"Lean.Meta.Match.MkMatcherInput.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L719-L721","name":"Lean.Meta.Match.MkMatcherInput.collectFVars","line":719,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectFVars","doc":""},"Lean.Meta.Match.MkMatcherInput.collectDependencies":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L723-L726","name":"Lean.Meta.Match.MkMatcherInput.collectDependencies","line":723,"kind":"def","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput.collectDependencies","doc":""},"Lean.Meta.Match.MkMatcherInput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Match.lean#L710-L714","name":"Lean.Meta.Match.MkMatcherInput","line":710,"kind":"structure","docLink":"./Lean/Meta/Match/Match.html#Lean.Meta.Match.MkMatcherInput","doc":""},"Lean.Meta.Match.MatcherResult.unusedAltIdxs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L319-L319","name":"Lean.Meta.Match.MatcherResult.unusedAltIdxs","line":319,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.unusedAltIdxs","doc":""},"Lean.Meta.Match.MatcherResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.MatcherResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.mk","doc":""},"Lean.Meta.Match.MatcherResult.matcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L317-L317","name":"Lean.Meta.Match.MatcherResult.matcher","line":317,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.matcher","doc":""},"Lean.Meta.Match.MatcherResult.counterExamples":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L318-L318","name":"Lean.Meta.Match.MatcherResult.counterExamples","line":318,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.MatcherResult.counterExamples","doc":""},"Lean.Meta.Match.MatcherResult.addMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L320-L320","name":"Lean.Meta.Matc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= { hName? := some h }` if the i-th discriminant was annotated with `h :`.\n"},"Lean.Meta.Match.MatcherInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L38-L39","name":"Lean.Meta.Match.MatcherInfo.arity","line":38,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.arity","doc":""},"Lean.Meta.Match.MatcherInfo.altNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L28-L28","name":"Lean.Meta.Match.MatcherInfo.altNumParams","line":28,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo.altNumParams","doc":""},"Lean.Meta.Match.MatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L25-L33","name":"Lean.Meta.Match.MatcherInfo","line":25,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.MatcherInfo","doc":"A \"matcher\" auxiliary declaration has the following structure:\n- `numParams` parameters\n- motive\n- `numDiscrs` discriminators (aka major premises)\n- `altNumParams.size` alternatives (aka minor premises) where alternative `i` has `altNumParams[i]` parameters\n- `uElimPos?` is `some pos` when the matcher can eliminate in different universe levels, and\n `pos` is the position of the universe level parameter that specifies the elimination universe.\n It is `none` if the matcher only eliminates into `Prop`. "},"Lean.Meta.Match.MatchEqnsExtState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqnsExtState.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.mk","doc":""},"Lean.Meta.Match.MatchEqnsExtState.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L20-L20","name":"Lean.Meta.Match.MatchEqnsExtState.map","line":20,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState.map","doc":""},"Lean.Meta.Match.MatchEqnsExtState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L19-L21","name":"Lean.Meta.Match.MatchEqnsExtState","line":19,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqnsExtState","doc":""},"Lean.Meta.Match.MatchEqns.splitterName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L12-L12","name":"Lean.Meta.Match.MatchEqns.splitterName","line":12,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterName","doc":""},"Lean.Meta.Match.MatchEqns.splitterAltNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L13-L13","name":"Lean.Meta.Match.MatchEqns.splitterAltNumParams","line":13,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.splitterAltNumParams","doc":""},"Lean.Meta.Match.MatchEqns.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L16-L17","name":"Lean.Meta.Match.MatchEqns.size","line":16,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.size","doc":""},"Lean.Meta.Match.MatchEqns.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L1-L1","name":"Lean.Meta.Match.MatchEqns.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.mk","doc":""},"Lean.Meta.Match.MatchEqns.eqnNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L11-L11","name":"Lean.Meta.Match.MatchEqns.eqnNames","line":11,"kind":"def","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns.eqnNames","doc":""},"Lean.Meta.Match.MatchEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqsExt.lean#L10-L14","name":"Lean.Meta.Match.MatchEqns","line":10,"kind":"structure","docLink":"./Lean/Meta/Match/MatchEqsExt.html#Lean.Meta.Match.MatchEqns","doc":""},"Lean.Meta.Match.InjectionAnyResult.subgoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L340-L340","name":"Lean.Meta.Match.InjectionAnyResult.subgoal","line":340,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.subgoal","doc":""},"Lean.Meta.Match.InjectionAnyResult.solved":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L338-L338","name":"Lean.Meta.Match.InjectionAnyResult.solved","line":338,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.solved","doc":""},"Lean.Meta.Match.InjectionAnyResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L339-L339","name":"Lean.Meta.Match.InjectionAnyResult.failed","line":339,"kind":"ctor","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult.failed","doc":""},"Lean.Meta.Match.InjectionAnyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatchEqs.lean#L337-L340","name":"Lean.Meta.Match.InjectionAnyResult","line":337,"kind":"inductive","docLink":"./Lean/Meta/Match/MatchEqs.html#Lean.Meta.Match.InjectionAnyResult","doc":""},"Lean.Meta.Match.Extension.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L75-L75","name":"Lean.Meta.Match.Extension.instInhabitedState","line":75,"kind":"instance","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.instInhabitedState","doc":""},"Lean.Meta.Match.Extension.getMatcherInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L89-L90","name":"Lean.Meta.Match.Extension.getMatcherInfo?","line":89,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.getMatcherInfo?","doc":""},"Lean.Meta.Match.Extension.extension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L80-L84","name":"Lean.Meta.Match.Extension.extension","line":80,"kind":"opaque","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.extension","doc":""},"Lean.Meta.Match.Extension.addMatcherInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L86-L87","name":"Lean.Meta.Match.Extension.addMatcherInfo","line":86,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.addMatcherInfo","doc":""},"Lean.Meta.Match.Extension.State.switch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L78-L78","name":"Lean.Meta.Match.Extension.State.switch","line":78,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.switch","doc":""},"Lean.Meta.Match.Extension.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.mk","doc":""},"Lean.Meta.Match.Extension.State.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L73-L73","name":"Lean.Meta.Match.Extension.State.map","line":73,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.map","doc":""},"Lean.Meta.Match.Extension.State.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L77-L77","name":"Lean.Meta.Match.Extension.State.addEntry","line":77,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State.addEntry","doc":""},"Lean.Meta.Match.Extension.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L72-L73","name":"Lean.Meta.Match.Extension.State","line":72,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.State","doc":""},"Lean.Meta.Match.Extension.Entry.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L69-L69","name":"Lean.Meta.Match.Extension.Entry.name","line":69,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.name","doc":""},"Lean.Meta.Match.Extension.Entry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L1-L1","name":"Lean.Meta.Match.Extension.Entry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.mk","doc":""},"Lean.Meta.Match.Extension.Entry.info":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L70-L70","name":"Lean.Meta.Match.Extension.Entry.info","line":70,"kind":"def","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry.info","doc":""},"Lean.Meta.Match.Extension.Entry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L68-L70","name":"Lean.Meta.Match.Extension.Entry","line":68,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.Extension.Entry","doc":""},"Lean.Meta.Match.Example.varsToUnderscore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L273-L277","name":"Lean.Meta.Match.Example.varsToUnderscore","line":273,"kind":"opaque","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.varsToUnderscore","doc":""},"Lean.Meta.Match.Example.var":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L250-L250","name":"Lean.Meta.Match.Example.var","line":250,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.var","doc":""},"Lean.Meta.Match.Example.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L253-L253","name":"Lean.Meta.Match.Example.val","line":253,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Example.val","doc":""},"Lean.Meta.Match.Exampl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h` if the discriminant is annotated with `h:` "},"Lean.Meta.Match.DiscrInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/MatcherInfo.lean#L11-L14","name":"Lean.Meta.Match.DiscrInfo","line":11,"kind":"structure","docLink":"./Lean/Meta/Match/MatcherInfo.html#Lean.Meta.Match.DiscrInfo","doc":""},"Lean.Meta.Match.CounterExample":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L308-L308","name":"Lean.Meta.Match.CounterExample","line":308,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.CounterExample","doc":""},"Lean.Meta.Match.AltLHS.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L120-L120","name":"Lean.Meta.Match.AltLHS.ref","line":120,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.ref","doc":""},"Lean.Meta.Match.AltLHS.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L122-L122","name":"Lean.Meta.Match.AltLHS.patterns","line":122,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.patterns","doc":""},"Lean.Meta.Match.AltLHS.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.AltLHS.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.mk","doc":""},"Lean.Meta.Match.AltLHS.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L121-L121","name":"Lean.Meta.Match.AltLHS.fvarDecls","line":121,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.fvarDecls","doc":""},"Lean.Meta.Match.AltLHS.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L124-L126","name":"Lean.Meta.Match.AltLHS.collectFVars","line":124,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS.collectFVars","doc":""},"Lean.Meta.Match.AltLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L119-L122","name":"Lean.Meta.Match.AltLHS","line":119,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.AltLHS","doc":""},"Lean.Meta.Match.Alt.toMessageData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L166-L172","name":"Lean.Meta.Match.Alt.toMessageData","line":166,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.toMessageData","doc":""},"Lean.Meta.Match.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L146-L146","name":"Lean.Meta.Match.Alt.rhs","line":146,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.rhs","doc":"Right-hand-side of the alternative.\n"},"Lean.Meta.Match.Alt.replaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L181-L188","name":"Lean.Meta.Match.Alt.replaceFVarId","line":181,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.replaceFVarId","doc":""},"Lean.Meta.Match.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L137-L137","name":"Lean.Meta.Match.Alt.ref","line":137,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.ref","doc":"`Syntax` object for providing position information "},"Lean.Meta.Match.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L154-L154","name":"Lean.Meta.Match.Alt.patterns","line":154,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.patterns","doc":"Alternative patterns.\n"},"Lean.Meta.Match.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L1-L1","name":"Lean.Meta.Match.Alt.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.mk","doc":""},"Lean.Meta.Match.Alt.isLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L191-L192","name":"Lean.Meta.Match.Alt.isLocalDecl","line":191,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.isLocalDecl","doc":"Return `true` if `fvarId` is one of the alternative pattern variables "},"Lean.Meta.Match.Alt.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L142-L142","name":"Lean.Meta.Match.Alt.idx","line":142,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.idx","doc":"Orginal alternative index. Alternatives can be split, this index is the original\nposition of the alternative that generated this one.\n"},"Lean.Meta.Match.Alt.fvarDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L150-L150","name":"Lean.Meta.Match.Alt.fvarDecls","line":150,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.fvarDecls","doc":"Alternative pattern variables.\n"},"Lean.Meta.Match.Alt.cnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L161-L161","name":"Lean.Meta.Match.Alt.cnstrs","line":161,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.cnstrs","doc":"Pending constraints `lhs ≋ rhs` that need to be solved before the alternative\nis considered acceptable. We generate them when processing inaccessible patterns.\nNote that `lhs` and `rhs` often have different types.\nAfter we perform additional case analysis, their types become definitionally equal.\n"},"Lean.Meta.Match.Alt.checkAndReplaceFVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L236-L245","name":"Lean.Meta.Match.Alt.checkAndReplaceFVarId","line":236,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.checkAndReplaceFVarId","doc":"Similar to `checkAndReplaceFVarId`, but ensures type of `v` is definitionally equal to type of `fvarId`.\n This extra check is necessary when performing dependent elimination and inaccessible terms have been used.\n For example, consider the following code fragment:\n\n```\ninductive Vec (α : Type u) : Nat → Type u where\n | nil : Vec α 0\n | cons {n} (head : α) (tail : Vec α n) : Vec α (n+1)\n\ninductive VecPred {α : Type u} (P : α → Prop) : {n : Nat} → Vec α n → Prop where\n | nil : VecPred P Vec.nil\n | cons {n : Nat} {head : α} {tail : Vec α n} : P head → VecPred P tail → VecPred P (Vec.cons head tail)\n\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head _, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nRecall that `_` in a pattern can be elaborated into pattern variable or an inaccessible term.\nThe elaborator uses an inaccessible term when typing constraints restrict its value.\nThus, in the example above, the `_` at `Vec.cons head _` becomes the inaccessible pattern `.(Vec.nil)`\nbecause the type ascription `(w : VecPred P Vec.nil)` propagates typing constraints that restrict its value to be `Vec.nil`.\nAfter elaboration the alternative becomes:\n```\n | .(0), @Vec.cons .(α) .(0) head .(Vec.nil), @VecPred.cons .(α) .(P) .(0) .(head) .(Vec.nil) h w => ⟨head, h⟩\n```\nwhere\n```\n(head : α), (h: P head), (w : VecPred P Vec.nil)\n```\nThen, when we process this alternative in this module, the following check will detect that\n`w` has type `VecPred P Vec.nil`, when it is supposed to have type `VecPred P tail`.\nNote that if we had written\n```\ntheorem ex {α : Type u} (P : α → Prop) : {n : Nat} → (v : Vec α (n+1)) → VecPred P v → Exists P\n | _, Vec.cons head Vec.nil, VecPred.cons h (w : VecPred P Vec.nil) => ⟨head, h⟩\n```\nwe would get the easier to digest error message\n```\nmissing cases:\n_, (Vec.cons _ _ (Vec.cons _ _ _)), _\n```\n"},"Lean.Meta.Match.Alt.applyFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L174-L179","name":"Lean.Meta.Match.Alt.applyFVarSubst","line":174,"kind":"def","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt.applyFVarSubst","doc":""},"Lean.Meta.Match.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Match/Basic.lean#L135-L162","name":"Lean.Meta.Match.Alt","line":135,"kind":"structure","docLink":"./Lean/Meta/Match/Basic.html#Lean.Meta.Match.Alt","doc":"`Match` alternative "},"Lean.Meta.Linear.solve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L248-L265","name":"Lean.Meta.Linear.solve","line":248,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.solve","doc":""},"Lean.Meta.Linear.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Simp.lean#L16-L24","name":"Lean.Meta.Linear.simp?","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Simp.html#Lean.Meta.Linear.simp?","doc":""},"Lean.Meta.Linear.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L219-L246","name":"Lean.Meta.Linear.resolve","line":219,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.resolve","doc":""},"Lean.Meta.Linear.pickAssignment?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Solver.lean#L207-L217","name":"Lean.Meta.Linear.pickAssignment?","line":207,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Solver.html#Lean.Meta.Linear.pickAssignment?","doc":""},"Lean.Meta.Linear.isLinearTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/LinearArith/Basic.lean#L11-L17","name":"Lean.Meta.Linear.isLinearTerm","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/LinearArith/Basic.html#Lean.Meta.Linear.isLinearTerm","doc":"Quick filter for linear terms. 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In order to change the type and the pattern to be type correct, we don't\nsimply recursively change all occurrences, but rather, we recursively change occurences of the constructor.\nAs such there are only a few cases:\n- the pattern is a constructor from the original type. Here we need to:\n - replace the constructor\n - copy original recursive patterns and convert them to below and reintroduce them in the correct position\n - turn original recursive patterns inaccessible\n - introduce free variables as needed.\n- it is an `as` pattern. Here the contstructor could be hidden inside of it.\n- it is a variable. 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`generalize` tactic takes arguments of the form `h : e = x` "},"Lean.Meta.FunInfoCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L201-L201","name":"Lean.Meta.FunInfoCache","line":201,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfoCache","doc":""},"Lean.Meta.FunInfo.resultDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L175-L175","name":"Lean.Meta.FunInfo.resultDeps","line":175,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfo.resultDeps","doc":"`resultDeps` contains the function result type backwards dependencies.\nThat is, the (0-indexed) position of parameters that the result type depends 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"},"Lean.Meta.FunInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.FunInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfo.mk","doc":""},"Lean.Meta.FunInfo.getArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/FunInfo.lean#L98-L99","name":"Lean.Meta.FunInfo.getArity","line":98,"kind":"def","docLink":"./Lean/Meta/FunInfo.html#Lean.Meta.FunInfo.getArity","doc":""},"Lean.Meta.FunInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L168-L175","name":"Lean.Meta.FunInfo","line":168,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.FunInfo","doc":"Function information cache. See `ParamInfo`.\n"},"Lean.Meta.FVarSubst.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L1-L1","name":"Lean.Meta.FVarSubst.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.mk","doc":""},"Lean.Meta.FVarSubst.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L19-L19","name":"Lean.Meta.FVarSubst.map","line":19,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.map","doc":""},"Lean.Meta.FVarSubst.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L26-L27","name":"Lean.Meta.FVarSubst.isEmpty","line":26,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.isEmpty","doc":""},"Lean.Meta.FVarSubst.insert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L33-L37","name":"Lean.Meta.FVarSubst.insert","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Meta.FVarSubst.insert","doc":"Add entry `fvarId |-> v` to `s` if `s` does not contain an entry for `fvarId`. 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We ignore implicit instance\narguments to address an issue reported at issue #972.\n\nRemark: the order is not really total on terms since\n - We instance implicit arguments.\n - We ignore metadata.\n - We ignore universe parameterst at constants.\n"},"Lean.Meta.EtaStructMode.notClasses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1213-L1214","name":"Lean.Meta.EtaStructMode.notClasses","line":1213,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.EtaStructMode.notClasses","doc":"Enable eta only for structures that are not classes. "},"Lean.Meta.EtaStructMode.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1215-L1216","name":"Lean.Meta.EtaStructMode.none","line":1215,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.EtaStructMode.none","doc":"Disable eta for structures and classes. 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`d`.\n"},"Lean.Meta.DiscrTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L100-L105","name":"Lean.Meta.DiscrTree.format","line":100,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.format","doc":""},"Lean.Meta.DiscrTree.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L91-L91","name":"Lean.Meta.DiscrTree.empty","line":91,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.empty","doc":""},"Lean.Meta.DiscrTree.Trie.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L41-L41","name":"Lean.Meta.DiscrTree.Trie.node","line":41,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie.node","doc":""},"Lean.Meta.DiscrTree.Trie.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L93-L96","name":"Lean.Meta.DiscrTree.Trie.format","line":93,"kind":"opaque","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Trie.format","doc":""},"Lean.Meta.DiscrTree.Trie":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L40-L41","name":"Lean.Meta.DiscrTree.Trie","line":40,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Trie","doc":"Discrimination tree trie. See `DiscrTree`.\n"},"Lean.Meta.DiscrTree.Key.star":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L20-L20","name":"Lean.Meta.DiscrTree.Key.star","line":20,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.star","doc":""},"Lean.Meta.DiscrTree.Key.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L23-L23","name":"Lean.Meta.DiscrTree.Key.proj","line":23,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.proj","doc":""},"Lean.Meta.DiscrTree.Key.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L21-L21","name":"Lean.Meta.DiscrTree.Key.other","line":21,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.other","doc":""},"Lean.Meta.DiscrTree.Key.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L60-L65","name":"Lean.Meta.DiscrTree.Key.lt","line":60,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.lt","doc":""},"Lean.Meta.DiscrTree.Key.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L19-L19","name":"Lean.Meta.DiscrTree.Key.lit","line":19,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.lit","doc":""},"Lean.Meta.DiscrTree.Key.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L26-L33","name":"Lean.Meta.DiscrTree.Key.hash","line":26,"kind":"def","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.hash","doc":""},"Lean.Meta.DiscrTree.Key.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L18-L18","name":"Lean.Meta.DiscrTree.Key.fvar","line":18,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.fvar","doc":""},"Lean.Meta.DiscrTree.Key.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L70-L78","name":"Lean.Meta.DiscrTree.Key.format","line":70,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.format","doc":""},"Lean.Meta.DiscrTree.Key.ctorIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L51-L58","name":"Lean.Meta.DiscrTree.Key.ctorIdx","line":51,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.ctorIdx","doc":""},"Lean.Meta.DiscrTree.Key.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L17-L17","name":"Lean.Meta.DiscrTree.Key.const","line":17,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.const","doc":""},"Lean.Meta.DiscrTree.Key.arrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L22-L22","name":"Lean.Meta.DiscrTree.Key.arrow","line":22,"kind":"ctor","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key.arrow","doc":""},"Lean.Meta.DiscrTree.Key.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTree.lean#L82-L87","name":"Lean.Meta.DiscrTree.Key.arity","line":82,"kind":"def","docLink":"./Lean/Meta/DiscrTree.html#Lean.Meta.DiscrTree.Key.arity","doc":""},"Lean.Meta.DiscrTree.Key":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L16-L24","name":"Lean.Meta.DiscrTree.Key","line":16,"kind":"inductive","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree.Key","doc":"Discrimination tree key. See `DiscrTree`\n"},"Lean.Meta.DiscrTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DiscrTreeTypes.lean#L83-L84","name":"Lean.Meta.DiscrTree","line":83,"kind":"structure","docLink":"./Lean/Meta/DiscrTreeTypes.html#Lean.Meta.DiscrTree","doc":"Discrimination trees. It is an index from terms to values of type `α`.\n\nIf `simpleReduce := true`, then only simple reduction are performed while\nindexing/retrieving terms. For example, `iota` reduction is not performed.\n\nWe use `simpleReduce := false` in the type class resolution module,\nand `simpleReduce := true` in `simp`.\n\nMotivations:\n- In `simp`, we want to have `simp` theorem such as\n```\n@[simp] theorem liftOn_mk (a : α) (f : α → γ) (h : ∀ a₁ a₂, r a₁ a₂ → f a₁ = f a₂) :\n Quot.liftOn (Quot.mk r a) f h = f a := rfl\n```\nIf we enable `iota`, then the lhs is reduced to `f a`.\n\n- During type class resolution, we often want to reduce types using even `iota`.\nExample:\n```\ninductive Ty where\n | int\n | bool\n\n@[reducible] def Ty.interp (ty : Ty) : Type :=\n Ty.casesOn (motive := fun _ => Type) ty Int Bool\n\ndef test {a b c : Ty} (f : a.interp → b.interp → c.interp) (x : a.interp) (y : b.interp) : c.interp :=\n f x y\n\ndef f (a b : Ty.bool.interp) : Ty.bool.interp :=\n -- We want to synthesize `BEq Ty.bool.interp` here, and it will fail\n -- if we do not reduce `Ty.bool.interp` to `Bool`.\n test (.==.) a b\n```\n"},"Lean.Meta.DefaultInstances.priorities":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L238-L238","name":"Lean.Meta.DefaultInstances.priorities","line":238,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.priorities","doc":""},"Lean.Meta.DefaultInstances.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstances.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.mk","doc":""},"Lean.Meta.DefaultInstances.defaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L237-L237","name":"Lean.Meta.DefaultInstances.defaultInstances","line":237,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances.defaultInstances","doc":""},"Lean.Meta.DefaultInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L236-L239","name":"Lean.Meta.DefaultInstances","line":236,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstances","doc":""},"Lean.Meta.DefaultInstanceEntry.priority":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L232-L232","name":"Lean.Meta.DefaultInstanceEntry.priority","line":232,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.priority","doc":""},"Lean.Meta.DefaultInstanceEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L1-L1","name":"Lean.Meta.DefaultInstanceEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.mk","doc":""},"Lean.Meta.DefaultInstanceEntry.instanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L231-L231","name":"Lean.Meta.DefaultInstanceEntry.instanceName","line":231,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.instanceName","doc":""},"Lean.Meta.DefaultInstanceEntry.className":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L230-L230","name":"Lean.Meta.DefaultInstanceEntry.className","line":230,"kind":"def","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry.className","doc":""},"Lean.Meta.DefaultInstanceEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Instances.lean#L229-L232","name":"Lean.Meta.DefaultInstanceEntry","line":229,"kind":"structure","docLink":"./Lean/Meta/Instances.html#Lean.Meta.DefaultInstanceEntry","doc":""},"Lean.Meta.DefEqContext.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L228-L228","name":"Lean.Meta.DefEqContext.rhs","line":228,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.rhs","doc":""},"Lean.Meta.DefEqContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.DefEqContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.mk","doc":""},"Lean.Meta.DefEqContext.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L230-L230","name":"Lean.Meta.DefEqContext.localInstances","line":230,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.localInstances","doc":""},"Lean.Meta.DefEqContext.lhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L227-L227","name":"Lean.Meta.DefEqContext.lhs","line":227,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lhs","doc":""},"Lean.Meta.DefEqContext.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L229-L229","name":"Lean.Meta.DefEqContext.lctx","line":229,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext.lctx","doc":""},"Lean.Meta.DefEqContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L226-L230","name":"Lean.Meta.DefEqContext","line":226,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqContext","doc":"\"Context\" for a postponed universe constraint.\n`lhs` and `rhs` are the surrounding `isDefEq` call when the postponed constraint was created.\n"},"Lean.Meta.DefEqCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L208-L208","name":"Lean.Meta.DefEqCache","line":208,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.DefEqCache","doc":"A mapping `(s, t) ↦ isDefEq s t`.\nTODO: consider more efficient representations (e.g., a proper set) and caching policies (e.g., imperfect cache).\nWe should also investigate the impact on memory consumption. "},"Lean.Meta.DefEqArgsFirstPassResult.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L182-L208","name":"Lean.Meta.DefEqArgsFirstPassResult.ok","line":182,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.ok","doc":"Succeeded. The array `postponedImplicit` contains the position\nof the implicit arguments for which def-eq has been postponed.\n`postponedHO` contains the higher order output parameters, and parameters\nthat depend on them. They should be processed after the implict ones.\n`postponedHO` is used to handle applications involving functions that\ncontain higher order output parameters. Example:\n```lean\ngetElem :\n {cont : Type u_1} → {idx : Type u_2} → {elem : Type u_3} →\n {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] →\n (xs : cont) → (i : idx) → (h : dom xs i) → elem\n```\nThe argumengs `dom` and `h` must be processed after all implicit arguments\notherwise higher-order unification problems are generated. See issue #1299,\nwhen trying to solve\n```\ngetElem ?a ?i ?h =?= getElem a i (Fin.val_lt_of_le i ...)\n```\nwe have to solve the constraint\n```\n?dom a i.val =?= LT.lt i.val (Array.size a)\n```\nby solving after the instance has been synthesized, we reduce this constraint to\na simple check.\n"},"Lean.Meta.DefEqArgsFirstPassResult.failed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L176-L181","name":"Lean.Meta.DefEqArgsFirstPassResult.failed","line":176,"kind":"ctor","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult.failed","doc":"Failed to establish that explicit arguments are def-eq.\nRemark: higher output parameters, and parameters that depend on them\nare postponed.\n"},"Lean.Meta.DefEqArgsFirstPassResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ExprDefEq.lean#L175-L208","name":"Lean.Meta.DefEqArgsFirstPassResult","line":175,"kind":"inductive","docLink":"./Lean/Meta/ExprDefEq.html#Lean.Meta.DefEqArgsFirstPassResult","doc":"Result type for `isDefEqArgsFirstPass`.\n"},"Lean.Meta.DecLevelContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L1-L1","name":"Lean.Meta.DecLevelContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.mk","doc":""},"Lean.Meta.DecLevelContext.canAssignMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L16-L16","name":"Lean.Meta.DecLevelContext.canAssignMVars","line":16,"kind":"def","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext.canAssignMVars","doc":"If `true`, then `decAux? ?m` returns a fresh metavariable `?n` s.t.\n`?m := ?n+1`.\n"},"Lean.Meta.DecLevelContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/DecLevel.lean#L11-L16","name":"Lean.Meta.DecLevelContext","line":11,"kind":"structure","docLink":"./Lean/Meta/DecLevel.html#Lean.Meta.DecLevelContext","doc":""},"Lean.Meta.DSimp.instReprConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instReprConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instReprConfig","doc":""},"Lean.Meta.DSimp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instInhabitedConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instInhabitedConfig","doc":""},"Lean.Meta.DSimp.instBEqConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1233-L1233","name":"Lean.Meta.DSimp.instBEqConfig","line":1233,"kind":"instance","docLink":"./Init/Meta.html#Lean.Meta.DSimp.instBEqConfig","doc":""},"Lean.Meta.DSimp.Config.zeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1222-L1222","name":"Lean.Meta.DSimp.Config.zeta","line":1222,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.zeta","doc":""},"Lean.Meta.DSimp.Config.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1227-L1227","name":"Lean.Meta.DSimp.Config.proj","line":1227,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.proj","doc":""},"Lean.Meta.DSimp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1-L1","name":"Lean.Meta.DSimp.Config.mk","line":1,"kind":"ctor","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.mk","doc":""},"Lean.Meta.DSimp.Config.iota":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1226-L1226","name":"Lean.Meta.DSimp.Config.iota","line":1226,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.iota","doc":""},"Lean.Meta.DSimp.Config.failIfUnchanged":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1232-L1232","name":"Lean.Meta.DSimp.Config.failIfUnchanged","line":1232,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.failIfUnchanged","doc":"If `failIfUnchanged := true`, then calls to `simp`, `dsimp`, or `simp_all`\nwill fail if they do not make progress. "},"Lean.Meta.DSimp.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1225-L1225","name":"Lean.Meta.DSimp.Config.etaStruct","line":1225,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.etaStruct","doc":""},"Lean.Meta.DSimp.Config.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1224-L1224","name":"Lean.Meta.DSimp.Config.eta","line":1224,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.eta","doc":""},"Lean.Meta.DSimp.Config.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1228-L1228","name":"Lean.Meta.DSimp.Config.decide","line":1228,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.decide","doc":""},"Lean.Meta.DSimp.Config.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1223-L1223","name":"Lean.Meta.DSimp.Config.beta","line":1223,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.beta","doc":""},"Lean.Meta.DSimp.Config.autoUnfold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1229-L1229","name":"Lean.Meta.DSimp.Config.autoUnfold","line":1229,"kind":"def","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config.autoUnfold","doc":""},"Lean.Meta.DSimp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1221-L1233","name":"Lean.Meta.DSimp.Config","line":1221,"kind":"structure","docLink":"./Init/Meta.html#Lean.Meta.DSimp.Config","doc":""},"Lean.Meta.CustomEliminators.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminators.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.mk","doc":""},"Lean.Meta.CustomEliminators.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L101-L101","name":"Lean.Meta.CustomEliminators.map","line":101,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators.map","doc":""},"Lean.Meta.CustomEliminators":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L100-L102","name":"Lean.Meta.CustomEliminators","line":100,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminators","doc":""},"Lean.Meta.CustomEliminator.typeNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L96-L96","name":"Lean.Meta.CustomEliminator.typeNames","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.typeNames","doc":""},"Lean.Meta.CustomEliminator.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L1-L1","name":"Lean.Meta.CustomEliminator.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.mk","doc":""},"Lean.Meta.CustomEliminator.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L97-L97","name":"Lean.Meta.CustomEliminator.elimInfo","line":97,"kind":"def","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator.elimInfo","doc":""},"Lean.Meta.CustomEliminator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/ElimInfo.lean#L95-L98","name":"Lean.Meta.CustomEliminator","line":95,"kind":"structure","docLink":"./Lean/Meta/Tactic/ElimInfo.html#Lean.Meta.CustomEliminator","doc":""},"Lean.Meta.Contradiction.Config.useDecide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L14-L14","name":"Lean.Meta.Contradiction.Config.useDecide","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.useDecide","doc":""},"Lean.Meta.Contradiction.Config.searchFuel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L18-L18","name":"Lean.Meta.Contradiction.Config.searchFuel","line":18,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.searchFuel","doc":"When checking for empty types, `searchFuel` specifies the number of goals visited. "},"Lean.Meta.Contradiction.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L1-L1","name":"Lean.Meta.Contradiction.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.mk","doc":""},"Lean.Meta.Contradiction.Config.genDiseq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L24-L24","name":"Lean.Meta.Contradiction.Config.genDiseq","line":24,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.genDiseq","doc":"Support for hypotheses such as\n```\nh : (x y : Nat) (ys : List Nat) → x = 0 → y::ys = [a, b, c] → False\n```\nThis kind of hypotheses appear when proving conditional equation theorems for match expressions. "},"Lean.Meta.Contradiction.Config.emptyType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L16-L16","name":"Lean.Meta.Contradiction.Config.emptyType","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config.emptyType","doc":"Check whether any of the hypotheses is an empty type. "},"Lean.Meta.Contradiction.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L13-L24","name":"Lean.Meta.Contradiction.Config","line":13,"kind":"structure","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.Meta.Contradiction.Config","doc":""},"Lean.Meta.Context.synthPendingDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L283-L283","name":"Lean.Meta.Context.synthPendingDepth","line":283,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.synthPendingDepth","doc":"Track the number of nested `synthPending` invocations. Nested invocations can happen\nwhen the type class resolution invokes `synthPending`.\n\nRemark: in the current implementation, `synthPending` fails if `synthPendingDepth > 0`.\nWe will add a configuration option if necessary. "},"Lean.Meta.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.mk","doc":""},"Lean.Meta.Context.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L274-L274","name":"Lean.Meta.Context.localInstances","line":274,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.localInstances","doc":"Local instances in `lctx`. "},"Lean.Meta.Context.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L272-L272","name":"Lean.Meta.Context.lctx","line":272,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.lctx","doc":"Local context "},"Lean.Meta.Context.defEqCtx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L276-L276","name":"Lean.Meta.Context.defEqCtx?","line":276,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.defEqCtx?","doc":"Not `none` when inside of an `isDefEq` test. See `PostponedEntry`. "},"Lean.Meta.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L270-L270","name":"Lean.Meta.Context.config","line":270,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.config","doc":""},"Lean.Meta.Context.canUnfold?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L287-L287","name":"Lean.Meta.Context.canUnfold?","line":287,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context.canUnfold?","doc":"A predicate to control whether a constant can be unfolded or not at `whnf`.\nNote that we do not cache results at `whnf` when `canUnfold?` is not `none`. "},"Lean.Meta.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L269-L287","name":"Lean.Meta.Context","line":269,"kind":"structure","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Context","doc":"Contextual information for the `MetaM` monad.\n"},"Lean.Meta.CongrTheorem.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L37-L37","name":"Lean.Meta.CongrTheorem.type","line":37,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.type","doc":""},"Lean.Meta.CongrTheorem.proof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L38-L38","name":"Lean.Meta.CongrTheorem.proof","line":38,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.proof","doc":""},"Lean.Meta.CongrTheorem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L1-L1","name":"Lean.Meta.CongrTheorem.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.mk","doc":""},"Lean.Meta.CongrTheorem.argKinds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L39-L39","name":"Lean.Meta.CongrTheorem.argKinds","line":39,"kind":"def","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem.argKinds","doc":""},"Lean.Meta.CongrTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L36-L39","name":"Lean.Meta.CongrTheorem","line":36,"kind":"structure","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrTheorem","doc":""},"Lean.Meta.CongrArgKind.subsingletonInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L30-L33","name":"Lean.Meta.CongrArgKind.subsingletonInst","line":30,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.subsingletonInst","doc":"For congr-simp theorems only. Indicates a decidable instance argument.\nThe lemma contains two arguments [a_i : Decidable ...] [b_i : Decidable ...] "},"Lean.Meta.CongrArgKind.heq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L26-L29","name":"Lean.Meta.CongrArgKind.heq","line":26,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.heq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : HEq a_i b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their heterogeneous equality. "},"Lean.Meta.CongrArgKind.fixedNoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L14-L17","name":"Lean.Meta.CongrArgKind.fixedNoParam","line":14,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixedNoParam","doc":"It is not a parameter for the congruence theorem, the theorem was specialized for this parameter.\nThis only happens if the parameter is a subsingleton/proposition, and other parameters depend on it. "},"Lean.Meta.CongrArgKind.fixed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L12-L13","name":"Lean.Meta.CongrArgKind.fixed","line":12,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.fixed","doc":"It is a parameter for the congruence theorem, the parameter occurs in the left and right hand sides. "},"Lean.Meta.CongrArgKind.eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L18-L21","name":"Lean.Meta.CongrArgKind.eq","line":18,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.eq","doc":"The lemma contains three parameters for this kind of argument `a_i`, `b_i` and `eq_i : a_i = b_i`.\n`a_i` and `b_i` represent the left and right hand sides, and `eq_i` is a proof for their equality. "},"Lean.Meta.CongrArgKind.cast":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L22-L25","name":"Lean.Meta.CongrArgKind.cast","line":22,"kind":"ctor","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind.cast","doc":"The congr-simp theorems contains only one parameter for this kind of argument, and congr theorems contains two.\nThey correspond to arguments that are subsingletons/propositions. "},"Lean.Meta.CongrArgKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CongrTheorems.lean#L11-L34","name":"Lean.Meta.CongrArgKind","line":11,"kind":"inductive","docLink":"./Lean/Meta/CongrTheorems.html#Lean.Meta.CongrArgKind","doc":""},"Lean.Meta.Config.zetaNonDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L86-L86","name":"Lean.Meta.Config.zetaNonDep","line":86,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.zetaNonDep","doc":"If zetaNonDep == false, then non dependent let-decls are not zeta expanded. "},"Lean.Meta.Config.unificationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L90-L90","name":"Lean.Meta.Config.unificationHints","line":90,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.unificationHints","doc":"Enable/disable the unification hints feature. "},"Lean.Meta.Config.transparency":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L84-L84","name":"Lean.Meta.Config.transparency","line":84,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.transparency","doc":"Controls which definitions and theorems can be unfolded by `isDefEq` and `whnf`.\n"},"Lean.Meta.Config.trackZeta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L88-L88","name":"Lean.Meta.Config.trackZeta","line":88,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.trackZeta","doc":"When `trackZeta == true`, we store zetaFVarIds all free variables that have been zeta-expanded. "},"Lean.Meta.Config.quasiPatternApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L66-L66","name":"Lean.Meta.Config.quasiPatternApprox","line":66,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.quasiPatternApprox","doc":"When `quasiPatternApprox` is set to true, we ignore condition 2.\n"},"Lean.Meta.Config.proofIrrelevance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L92-L92","name":"Lean.Meta.Config.proofIrrelevance","line":92,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.proofIrrelevance","doc":"Enables proof irrelevance at `isDefEq` "},"Lean.Meta.Config.offsetCnstrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L101-L101","name":"Lean.Meta.Config.offsetCnstrs","line":101,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.offsetCnstrs","doc":"Enable/Disable support for offset constraints such as `?x + 1 =?= e` "},"Lean.Meta.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L1-L1","name":"Lean.Meta.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.mk","doc":""},"Lean.Meta.Config.isDefEqStuckEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L80-L80","name":"Lean.Meta.Config.isDefEqStuckEx","line":80,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.isDefEqStuckEx","doc":"When the following flag is set,\n`isDefEq` throws the exeption `Exeption.isDefEqStuck`\nwhenever it encounters a constraint `?m ... =?= t` where\n`?m` is read only.\nThis feature is useful for type class resolution where\nwe may want to notify the caller that the TC problem may be solveable\nlater after it assigns `?m`. "},"Lean.Meta.Config.foApprox":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L57-L57","name":"Lean.Meta.Config.foApprox","line":57,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.foApprox","doc":"If `foApprox` is set to true, and some `aᵢ` is not a free variable,\nthen we use first-order unification\n```\n ?m a_1 ... a_i a_{i+1} ... a_{i+k} =?= f b_1 ... b_k\n```\nreduces to\n```\n ?m a_1 ... a_i =?= f\n a_{i+1} =?= b_1\n ...\n a_{i+k} =?= b_k\n```\n"},"Lean.Meta.Config.etaStruct":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L103-L103","name":"Lean.Meta.Config.etaStruct","line":103,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Meta.Config.etaStruct","doc":"Eta for structures configuration mode. 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"},"Lean.Meta.CasesOnApp.addArg.updateAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CasesOn.lean#L84-L107","name":"Lean.Meta.CasesOnApp.addArg.updateAlts","line":84,"kind":"def","docLink":"./Lean/Meta/CasesOn.html#Lean.Meta.CasesOnApp.addArg.updateAlts","doc":""},"Lean.Meta.CasesOnApp.addArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CasesOn.lean#L61-L107","name":"Lean.Meta.CasesOnApp.addArg","line":61,"kind":"def","docLink":"./Lean/Meta/CasesOn.html#Lean.Meta.CasesOnApp.addArg","doc":"Given a `casesOn` application `c` of the form\n```\ncasesOn As (fun is x => motive[i, xs]) is major (fun ys_1 => (alt_1 : motive (C_1[ys_1])) ... 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"},"Lean.Meta.AuxLemmas.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L1-L1","name":"Lean.Meta.AuxLemmas.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas.mk","doc":""},"Lean.Meta.AuxLemmas.lemmas":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L12-L12","name":"Lean.Meta.AuxLemmas.lemmas","line":12,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas.lemmas","doc":""},"Lean.Meta.AuxLemmas.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L11-L11","name":"Lean.Meta.AuxLemmas.idx","line":11,"kind":"def","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas.idx","doc":""},"Lean.Meta.AuxLemmas":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/AuxLemma.lean#L10-L13","name":"Lean.Meta.AuxLemmas","line":10,"kind":"structure","docLink":"./Lean/Meta/Tactic/AuxLemma.html#Lean.Meta.AuxLemmas","doc":""},"Lean.Meta.Attribute.Recursor.getMajorPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/RecursorInfo.lean#L243-L250","name":"Lean.Meta.Attribute.Recursor.getMajorPos","line":243,"kind":"def","docLink":"./Lean/Meta/RecursorInfo.html#Lean.Meta.Attribute.Recursor.getMajorPos","doc":""},"Lean.Meta.AssertAfterResult.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L69-L69","name":"Lean.Meta.AssertAfterResult.subst","line":69,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.subst","doc":""},"Lean.Meta.AssertAfterResult.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L68-L68","name":"Lean.Meta.AssertAfterResult.mvarId","line":68,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.mvarId","doc":""},"Lean.Meta.AssertAfterResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L1-L1","name":"Lean.Meta.AssertAfterResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.mk","doc":""},"Lean.Meta.AssertAfterResult.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L67-L67","name":"Lean.Meta.AssertAfterResult.fvarId","line":67,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult.fvarId","doc":""},"Lean.Meta.AssertAfterResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L66-L69","name":"Lean.Meta.AssertAfterResult","line":66,"kind":"structure","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.Meta.AssertAfterResult","doc":""},"Lean.Meta.ApplyNewGoals.nonDependentOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L18-L18","name":"Lean.Meta.ApplyNewGoals.nonDependentOnly","line":18,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals.nonDependentOnly","doc":""},"Lean.Meta.ApplyNewGoals.nonDependentFirst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L18-L18","name":"Lean.Meta.ApplyNewGoals.nonDependentFirst","line":18,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals.nonDependentFirst","doc":""},"Lean.Meta.ApplyNewGoals.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L18-L18","name":"Lean.Meta.ApplyNewGoals.all","line":18,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals.all","doc":""},"Lean.Meta.ApplyNewGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L17-L18","name":"Lean.Meta.ApplyNewGoals","line":17,"kind":"inductive","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyNewGoals","doc":"Controls which new mvars are turned in to goals by the `apply` tactic.\n- `nonDependentFirst` mvars that don't depend on other goals appear first in the goal list.\n- `nonDependentOnly` only mvars that don't depend on other goals are added to goal list.\n- `all` all unassigned mvars are added to the goal list.\n"},"Lean.Meta.ApplyConfig.synthAssignedInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L28-L28","name":"Lean.Meta.ApplyConfig.synthAssignedInstances","line":28,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.synthAssignedInstances","doc":"If `synthAssignedInstances` is `true`, then `apply` will synthesize instance implicit arguments\neven if they have assigned by `isDefEq`, and then check whether the synthesized value matches the\none inferred. The `congr` tactic sets this flag to false.\n"},"Lean.Meta.ApplyConfig.newGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L22-L22","name":"Lean.Meta.ApplyConfig.newGoals","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.newGoals","doc":""},"Lean.Meta.ApplyConfig.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L1-L1","name":"Lean.Meta.ApplyConfig.mk","line":1,"kind":"ctor","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.mk","doc":""},"Lean.Meta.ApplyConfig.approx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L38-L38","name":"Lean.Meta.ApplyConfig.approx","line":38,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.approx","doc":"If `approx := true`, then we turn on `isDefEq` approximations. That is, we use\nthe `approxDefEq` combinator.\n"},"Lean.Meta.ApplyConfig.allowSynthFailures":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L33-L33","name":"Lean.Meta.ApplyConfig.allowSynthFailures","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig.allowSynthFailures","doc":"If `allowSynthFailures` is `true`, then `apply` will return instance implicit arguments\nfor which typeclass search failed as new goals.\n"},"Lean.Meta.ApplyConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L21-L38","name":"Lean.Meta.ApplyConfig","line":21,"kind":"structure","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.Meta.ApplyConfig","doc":"Configures the behaviour of the `apply` tactic. 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AC-compatible ordering.\n\nRecall that an AC-compatible ordering if it is monotonic, well-founded, and total.\nBoth KBO and LPO are AC-compatible. 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"},"Lean.Macro.expandMacro?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4471-L4472","name":"Lean.Macro.expandMacro?","line":4471,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.expandMacro?","doc":"`expandMacro? stx` returns `some stxNew` if `stx` is a macro,\nand `stxNew` is its expansion.\n"},"Lean.Macro.addMacroScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4392-L4394","name":"Lean.Macro.addMacroScope","line":4392,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.addMacroScope","doc":"Add a new macro scope to the name `n`. 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"},"Lean.Macro.Exception":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4347-L4353","name":"Lean.Macro.Exception","line":4347,"kind":"inductive","docLink":"./Init/Prelude.html#Lean.Macro.Exception","doc":"An exception in the `MacroM` monad. "},"Lean.Macro.Context.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L4344-L4344","name":"Lean.Macro.Context.ref","line":4344,"kind":"def","docLink":"./Init/Prelude.html#Lean.Macro.Context.ref","doc":"The syntax which supplies the position of error messages. 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"},"Lean.MVarId.tryClearMany":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L55-L56","name":"Lean.MVarId.tryClearMany","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClearMany","doc":"Try to erase the given free variables from the goal `mvarId`.\n"},"Lean.MVarId.tryClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L45-L46","name":"Lean.MVarId.tryClear","line":45,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.tryClear","doc":"Try to erase the given free variable from the goal `mvarId`. It is no-op if the free variable\ncannot be erased due to forward dependencies.\n"},"Lean.MVarId.substEqs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L293-L297","name":"Lean.MVarId.substEqs","line":293,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.substEqs","doc":"Applies `cases` to any hypothesis of the form `h : r = s`.\n"},"Lean.MVarId.splitAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L217-L218","name":"Lean.MVarId.splitAnd","line":217,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.splitAnd","doc":"Apply `And.intro` as much as possible to goal `mvarId`.\n"},"Lean.MVarId.setUserName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L619-L620","name":"Lean.MVarId.setUserName","line":619,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setUserName","doc":"Set the user-facing name for the given metavariable.\n"},"Lean.MVarId.setType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L560-L561","name":"Lean.MVarId.setType","line":560,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setType","doc":"Update the type of the given metavariable. This function assumes the new type is\ndefinitionally equal to the current one "},"Lean.MVarId.setTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L21-L22","name":"Lean.MVarId.setTag","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.setTag","doc":""},"Lean.MVarId.setKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L551-L552","name":"Lean.MVarId.setKind","line":551,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.setKind","doc":"Set `mvarId` kind in the current metavariable context.\n"},"Lean.MVarId.rewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Rewrite.lean#L22-L68","name":"Lean.MVarId.rewrite","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Rewrite.html#Lean.MVarId.rewrite","doc":"Rewrite goal `mvarId`\n"},"Lean.MVarId.revertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Revert.lean#L49-L53","name":"Lean.MVarId.revertAfter","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revertAfter","doc":"Reverts all local declarations after `fvarId`. "},"Lean.MVarId.revert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Revert.lean#L13-L46","name":"Lean.MVarId.revert","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Revert.html#Lean.MVarId.revert","doc":"Revert free variables `fvarIds` at goal `mvarId`.\n"},"Lean.MVarId.replaceTargetEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L20-L31","name":"Lean.MVarId.replaceTargetEq","line":20,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew` using an equality proof `eqProof : target = targetNew`.\nIt assumes `eqProof` has type `target = targetNew` "},"Lean.MVarId.replaceTargetDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L44-L55","name":"Lean.MVarId.replaceTargetDefEq","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceTargetDefEq","doc":"Convert the given goal `Ctx |- target` into `Ctx |- targetNew`. It assumes the goals are definitionally equal.\nWe use the proof term\n```\n@id target mvarNew\n```\nto create a checkpoint. "},"Lean.MVarId.replaceLocalDeclDefEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L100-L109","name":"Lean.MVarId.replaceLocalDeclDefEq","line":100,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDeclDefEq","doc":"Replace the type of `fvarId` at `mvarId` with `typeNew`.\nRemark: this method assumes that `typeNew` is definitionally equal to the current type of `fvarId`.\n"},"Lean.MVarId.replaceLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L89-L90","name":"Lean.MVarId.replaceLocalDecl","line":89,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.replaceLocalDecl","doc":"Replace type of the local declaration with id `fvarId` with one with the same user-facing name, but with type `typeNew`.\nThis method assumes `eqProof` is a proof that type of `fvarId` is equal to `typeNew`.\nThis tactic actually adds a new declaration and (try to) clear the old one.\nIf the old one cannot be cleared, then at least its user-facing name becomes inaccessible.\nRemark: the new declaration is added immediately after `fvarId`.\n`typeNew` must be well-formed at `fvarId`, but `eqProof` may contain variables declared after `fvarId`. "},"Lean.MVarId.rename":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Rename.lean#L13-L18","name":"Lean.MVarId.rename","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Rename.html#Lean.MVarId.rename","doc":"Rename the user-face naming for the free variable `fvarId` at `mvarId`.\n"},"Lean.MVarId.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L21-L37","name":"Lean.MVarId.refl","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.refl","doc":"Close given goal using `Eq.refl`.\n"},"Lean.MVarId.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L262-L262","name":"Lean.MVarId.name","line":262,"kind":"def","docLink":"./Lean/Expr.html#Lean.MVarId.name","doc":""},"Lean.MVarId.modifyTargetEqLHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L175-L180","name":"Lean.MVarId.modifyTargetEqLHS","line":175,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTargetEqLHS","doc":"Modify `mvarId` target type left-hand-side using `f`.\nThrow an error if target type is not an equality.\n"},"Lean.MVarId.modifyTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L162-L165","name":"Lean.MVarId.modifyTarget","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.modifyTarget","doc":"Modify `mvarId` target type using `f`.\n"},"Lean.MVarId.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1-L1","name":"Lean.MVarId.mk","line":1,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.MVarId.mk","doc":""},"Lean.MVarId.isReadOnlyOrSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L583-L587","name":"Lean.MVarId.isReadOnlyOrSyntheticOpaque","line":583,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnlyOrSyntheticOpaque","doc":"Return true if `mvarId.isReadOnly` return true or if `mvarId` is a synthetic opaque metavariable.\n\nRecall `isDefEq` will not assign a value to `mvarId` if `mvarId.isReadOnlyOrSyntheticOpaque`.\n"},"Lean.MVarId.isReadOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L571-L572","name":"Lean.MVarId.isReadOnly","line":571,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.isReadOnly","doc":"Return true if the given metavariable is \"read-only\".\nThat is, its `depth` is different from the current metavariable context depth.\n"},"Lean.MVarId.isDelayedAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L382-L383","name":"Lean.MVarId.isDelayedAssigned","line":382,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isDelayedAssigned","doc":""},"Lean.MVarId.isAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L375-L376","name":"Lean.MVarId.isAssigned","line":375,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssigned","doc":"Return `true` if the give metavariable is already assigned. "},"Lean.MVarId.isAssignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L400-L403","name":"Lean.MVarId.isAssignable","line":400,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.isAssignable","doc":""},"Lean.MVarId.intros":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L181-L188","name":"Lean.MVarId.intros","line":181,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intros","doc":"Introduce as many binders as possible without unfolding definitions.\n"},"Lean.MVarId.introNP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L128-L129","name":"Lean.MVarId.introNP","line":128,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introNP","doc":"Introduce `n` binders in the goal `mvarId`. The new hypotheses are named using the binder names.\nThe suffix `P` stands for \"preserving`.\n"},"Lean.MVarId.introN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L117-L118","name":"Lean.MVarId.introN","line":117,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.introN","doc":"Introduce `n` binders in the goal `mvarId`.\n"},"Lean.MVarId.intro1P":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L165-L166","name":"Lean.MVarId.intro1P","line":165,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1P","doc":"Introduce one object from the goal `mvarid`, preserving the name used in the binder.\nReturns a pair made of the newly introduced variable and the new goal.\nThis will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L154-L155","name":"Lean.MVarId.intro1","line":154,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro1","doc":"Introduce one object from the goal `mvarid`, without preserving the name used in the binder.\nReturns a pair made of the newly introduced variable (which will have an inaccessible name)\nand the new goal. This will fail if there is nothing to introduce, ie when the goal\ndoes not start with a forall, lambda or let. "},"Lean.MVarId.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Intro.lean#L138-L140","name":"Lean.MVarId.intro","line":138,"kind":"def","docLink":"./Lean/Meta/Tactic/Intro.html#Lean.MVarId.intro","doc":"Introduce one binder using `name` as the the new hypothesis name.\n"},"Lean.MVarId.inferInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L157-L161","name":"Lean.MVarId.inferInstance","line":157,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.inferInstance","doc":""},"Lean.MVarId.induction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Induction.lean#L125-L207","name":"Lean.MVarId.induction","line":125,"kind":"def","docLink":"./Lean/Meta/Tactic/Induction.html#Lean.MVarId.induction","doc":""},"Lean.MVarId.hrefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L66-L69","name":"Lean.MVarId.hrefl","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.hrefl","doc":"Close given goal using `HEq.refl`.\n"},"Lean.MVarId.heqOfEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L50-L53","name":"Lean.MVarId.heqOfEq","line":50,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.heqOfEq","doc":"Try to apply `heq_of_eq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.headBetaType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L88-L89","name":"Lean.MVarId.headBetaType","line":88,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.headBetaType","doc":"Beta reduce the metavariable type head "},"Lean.MVarId.hcongr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L55-L65","name":"Lean.MVarId.hcongr?","line":55,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.hcongr?","doc":"Try to apply a `hcongr` congruence theorem, and then tries to close resulting goals\nusing `Eq.refl`, `HEq.refl`, and assumption.\n"},"Lean.MVarId.getType'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L66-L67","name":"Lean.MVarId.getType'","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType'","doc":"Get the type the given metavariable after instantiating metavariables and reducing to\nweak head normal form. "},"Lean.MVarId.getType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L57-L58","name":"Lean.MVarId.getType","line":57,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getType","doc":"Get the type the given metavariable. "},"Lean.MVarId.getTag":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L14-L15","name":"Lean.MVarId.getTag","line":14,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getTag","doc":"Get the user name of the given metavariable. "},"Lean.MVarId.getNondepPropHyps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L96-L121","name":"Lean.MVarId.getNondepPropHyps","line":96,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.getNondepPropHyps","doc":"Collect nondependent hypotheses that are propositions. "},"Lean.MVarId.getKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L534-L535","name":"Lean.MVarId.getKind","line":534,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getKind","doc":"Return `mvarId` kind. Throw an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.getDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L522-L525","name":"Lean.MVarId.getDecl","line":522,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.getDecl","doc":"Return `mvarId` declaration in the current metavariable context.\nThrow an exception if `mvarId` is not declarated in the current metavariable context.\n"},"Lean.MVarId.generalizeHyp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Generalize.lean#L86-L103","name":"Lean.MVarId.generalizeHyp","line":86,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalizeHyp","doc":"Extension of `generalize` to support generalizing within specified hypotheses.\nThe `hyps` array contains the list of hypotheses within which to look for occurrences\nof the generalizing expressions.\n"},"Lean.MVarId.generalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Generalize.lean#L74-L75","name":"Lean.MVarId.generalize","line":74,"kind":"def","docLink":"./Lean/Meta/Tactic/Generalize.html#Lean.MVarId.generalize","doc":"Telescopic `generalize` tactic. It can simultaneously generalize many terms.\nIt uses `kabstract` to occurrences of the terms that need to be generalized.\n"},"Lean.MVarId.findDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L511-L512","name":"Lean.MVarId.findDecl?","line":511,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.MVarId.findDecl?","doc":"Return `some mvarDecl` where `mvarDecl` is `mvarId` declaration in the current metavariable context.\nReturn `none` if `mvarId` has no declaration in the current metavariable context.\n"},"Lean.MVarId.existsIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L34-L50","name":"Lean.MVarId.existsIntro","line":34,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.existsIntro","doc":""},"Lean.MVarId.exfalso":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L224-L231","name":"Lean.MVarId.exfalso","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.exfalso","doc":""},"Lean.MVarId.eqOfHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L58-L61","name":"Lean.MVarId.eqOfHEq","line":58,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.eqOfHEq","doc":"Try to apply `eq_of_heq`. If successful, then return new goal, otherwise return `mvarId`.\n"},"Lean.MVarId.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L29-L32","name":"Lean.MVarId.deltaTarget","line":29,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaTarget","doc":"Delta expand declarations that satisfy `p` at `mvarId` type.\n"},"Lean.MVarId.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Delta.lean#L41-L44","name":"Lean.MVarId.deltaLocalDecl","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Delta.html#Lean.MVarId.deltaLocalDecl","doc":"Delta expand declarations that satisfy `p` at `fvarId` type.\n"},"Lean.MVarId.define":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L32-L40","name":"Lean.MVarId.define","line":32,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.define","doc":"Convert the given goal `Ctx |- target` into `Ctx |- let name : type := val; target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.contradictionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L152-L211","name":"Lean.MVarId.contradictionCore","line":152,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradictionCore","doc":"Return `true` if goal `mvarId` has contradictory hypotheses.\nSee `MVarId.contradiction` for the list of tests performed by this method.\n"},"Lean.MVarId.contradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Contradiction.lean#L224-L226","name":"Lean.MVarId.contradiction","line":224,"kind":"def","docLink":"./Lean/Meta/Tactic/Contradiction.html#Lean.MVarId.contradiction","doc":"Try to close the goal using \"contradictions\" such as\n- Contradictory hypotheses `h₁ : p` and `h₂ : ¬ p`.\n- Contradictory disequality `h : x ≠ x`.\n- Contradictory equality between different constructors, e.g., `h : List.nil = List.cons x xs`.\n- Empty inductive types, e.g., `x : Fin 0`.\n- Decidable propositions that evaluate to false, i.e., a hypothesis `h : p` s.t. `decide p` reduces to `false`.\n This is only tried if `Config.useDecide = true`.\n\nThrow exception if goal failed to be closed.\n"},"Lean.MVarId.constructor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Constructor.lean#L16-L28","name":"Lean.MVarId.constructor","line":16,"kind":"def","docLink":"./Lean/Meta/Tactic/Constructor.html#Lean.MVarId.constructor","doc":"When the goal `mvarId` type is an inductive datatype,\n`constructor` calls `apply` with the first matching constructor.\n"},"Lean.MVarId.congrPre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L21-L26","name":"Lean.MVarId.congrPre","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrPre","doc":"Preprocessor before applying congruence theorem.\nTries to close new goals using `Eq.refl`, `HEq.refl`, and `assumption`.\nIt also tries to apply `heq_of_eq`.\n"},"Lean.MVarId.congrN.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L103-L108","name":"Lean.MVarId.congrN.post","line":103,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.post","doc":""},"Lean.MVarId.congrN.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L110-L117","name":"Lean.MVarId.congrN.go","line":110,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN.go","doc":""},"Lean.MVarId.congrN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L99-L117","name":"Lean.MVarId.congrN","line":99,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrN","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n\n* Applies `congr` recursively up to depth `depth`.\n* If `closePre := true`, it will attempt to close new goals\n using `Eq.refl`, `HEq.refl`, and `assumption` with reducible transparency.\n* If `closePost := true`, it will try again on goals on which `congr` failed to make progress\n with default transparency.\n"},"Lean.MVarId.congrImplies?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L70-L73","name":"Lean.MVarId.congrImplies?","line":70,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrImplies?","doc":"Try to apply `implies_congr`.\n"},"Lean.MVarId.congrCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L79-L87","name":"Lean.MVarId.congrCore","line":79,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congrCore","doc":"Given a goal of the form `⊢ f as = f bs`, `⊢ (p → q) = (p' → q')`, or `⊢ HEq (f as) (f bs)`, try to apply congruence.\nIt takes proof irrelevance into account, and the fact that `Decidable p` is a subsingleton.\n"},"Lean.MVarId.congr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Congr.lean#L41-L49","name":"Lean.MVarId.congr?","line":41,"kind":"def","docLink":"./Lean/Meta/Tactic/Congr.html#Lean.MVarId.congr?","doc":"Try to apply a `simp` congruence theorem.\n"},"Lean.MVarId.clear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Clear.lean#L13-L34","name":"Lean.MVarId.clear","line":13,"kind":"def","docLink":"./Lean/Meta/Tactic/Clear.html#Lean.MVarId.clear","doc":"Erase the given free variable from the goal `mvarId`.\n"},"Lean.MVarId.cleanup":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cleanup.lean#L66-L67","name":"Lean.MVarId.cleanup","line":66,"kind":"def","docLink":"./Lean/Meta/Tactic/Cleanup.html#Lean.MVarId.cleanup","doc":"Auxiliary tactic for cleaning the local context. It removes local declarations (aka hypotheses) that are *not* relevant.\nWe say a variable `x` is \"relevant\" if\n- It occurs in the target type, or\n- There is a relevant variable `y` that depends on `x`, or\n- The type of `x` is a proposition and it depends on a relevant variable `y`.\n"},"Lean.MVarId.checkNotAssigned":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L48-L50","name":"Lean.MVarId.checkNotAssigned","line":48,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.checkNotAssigned","doc":"Throw a tactic exception with given tactic name if the given metavariable is assigned. "},"Lean.MVarId.changeLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L136-L153","name":"Lean.MVarId.changeLocalDecl","line":136,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.changeLocalDecl","doc":"Replace the type of the free variable `fvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to `fvarId` type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to `fvarId` type.\n"},"Lean.MVarId.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Replace.lean#L120-L125","name":"Lean.MVarId.change","line":120,"kind":"def","docLink":"./Lean/Meta/Tactic/Replace.html#Lean.MVarId.change","doc":"Replace the target type of `mvarId` with `typeNew`.\nIf `checkDefEq = false`, this method assumes that `typeNew` is definitionally equal to the current target type.\nIf `checkDefEq = true`, throw an error if `typeNew` is not definitionally equal to the current target type.\n"},"Lean.MVarId.casesRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L271-L281","name":"Lean.MVarId.casesRec","line":271,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesRec","doc":"Keep applying `cases` on any hypothesis that satisfies `p`.\n"},"Lean.MVarId.casesAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L286-L288","name":"Lean.MVarId.casesAnd","line":286,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.casesAnd","doc":"Applies `cases` (recursively) to any hypothesis of the form `h : p ∧ q`.\n"},"Lean.MVarId.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L261-L262","name":"Lean.MVarId.cases","line":261,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.cases","doc":"Apply `casesOn` using the free variable `majorFVarId` as the major premise (aka discriminant).\n`givenNames` contains user-facing names for each alternative.\n"},"Lean.MVarId.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Cases.lean#L311-L316","name":"Lean.MVarId.byCases","line":311,"kind":"def","docLink":"./Lean/Meta/Tactic/Cases.html#Lean.MVarId.byCases","doc":"Split the goal in two subgoals: one containing the hypothesis `h : p` and another containing `h : ¬ p`.\n"},"Lean.MVarId.assumptionCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L21-L26","name":"Lean.MVarId.assumptionCore","line":21,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumptionCore","doc":"Return `true` if managed to close goal `mvarId` using an assumption. "},"Lean.MVarId.assumption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assumption.lean#L33-L35","name":"Lean.MVarId.assumption","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Assumption.html#Lean.MVarId.assumption","doc":"Close goal `mvarId` using an assumption. Throw error message if failed. "},"Lean.MVarId.assign":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/MetavarContext.lean#L472-L473","name":"Lean.MVarId.assign","line":472,"kind":"def","docLink":"./Lean/MetavarContext.html#Lean.MVarId.assign","doc":"Add `mvarId := x` to the metavariable assignment.\nThis method does not check whether `mvarId` is already assigned, nor it checks whether\na cycle is being introduced, or whether the expression has the right type.\nThis is a low-level API, and it is safer to use `isDefEq (mkMVar mvarId) x`.\n"},"Lean.MVarId.assertHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L98-L110","name":"Lean.MVarId.assertHypotheses","line":98,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertHypotheses","doc":"Convert the given goal `Ctx |- target` into `Ctx, (hs[0].userName : hs[0].type) ... |-target`.\nIt assumes `hs[i].val` has type `hs[i].type`. "},"Lean.MVarId.assertExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L49-L60","name":"Lean.MVarId.assertExt","line":49,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertExt","doc":"Convert the given goal `Ctx |- target` into `Ctx |- (hName : type) -> hName = val -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.assertAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L75-L84","name":"Lean.MVarId.assertAfter","line":75,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assertAfter","doc":"Convert the given goal `Ctx |- target` into a goal containing `(userName : type)` after the local declaration with if `fvarId`.\nIt assumes `val` has type `type`, and that `type` is well-formed after `fvarId`.\nNote that `val` does not need to be well-formed after `fvarId`. That is, it may contain variables that are defined after `fvarId`. "},"Lean.MVarId.assert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Assert.lean#L15-L23","name":"Lean.MVarId.assert","line":15,"kind":"def","docLink":"./Lean/Meta/Tactic/Assert.html#Lean.MVarId.assert","doc":"Convert the given goal `Ctx |- target` into `Ctx |- type -> target`.\nIt assumes `val` has type `type` "},"Lean.MVarId.applyRefl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Refl.lean#L44-L45","name":"Lean.MVarId.applyRefl","line":44,"kind":"def","docLink":"./Lean/Meta/Tactic/Refl.html#Lean.MVarId.applyRefl","doc":""},"Lean.MVarId.apply.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L162-L173","name":"Lean.MVarId.apply.go","line":162,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply.go","doc":""},"Lean.MVarId.apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Apply.lean#L130-L185","name":"Lean.MVarId.apply","line":130,"kind":"def","docLink":"./Lean/Meta/Tactic/Apply.html#Lean.MVarId.apply","doc":"Close the given goal using `apply e`.\n"},"Lean.MVarId.admit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Util.lean#L76-L81","name":"Lean.MVarId.admit","line":76,"kind":"def","docLink":"./Lean/Meta/Tactic/Util.html#Lean.MVarId.admit","doc":"Assign `mvarId` to `sorryAx` "},"Lean.MVarId.acyclic.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Acyclic.lean#L33-L51","name":"Lean.MVarId.acyclic.go","line":33,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic.go","doc":""},"Lean.MVarId.acyclic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/Acyclic.lean#L22-L51","name":"Lean.MVarId.acyclic","line":22,"kind":"def","docLink":"./Lean/Meta/Tactic/Acyclic.html#Lean.MVarId.acyclic","doc":"Close the given goal if `h` is a proof for an equality such as `as = a :: as`.\nInductive datatypes in Lean are acyclic.\n"},"Lean.MVarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L261-L263","name":"Lean.MVarId","line":261,"kind":"structure","docLink":"./Lean/Expr.html#Lean.MVarId","doc":"Universe metavariable Id "},"Lean.MData.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L111-L111","name":"Lean.MData.empty","line":111,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData.empty","doc":""},"Lean.MData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L110-L110","name":"Lean.MData","line":110,"kind":"def","docLink":"./Lean/Expr.html#Lean.MData","doc":"Expression metadata. 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"},"Lean.Lsp.WorkDoneProgressReport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.WorkDoneProgressReport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.mk","doc":""},"Lean.Lsp.WorkDoneProgressReport.message?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L352-L352","name":"Lean.Lsp.WorkDoneProgressReport.message?","line":352,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.message?","doc":"More detailed associated progress message. "},"Lean.Lsp.WorkDoneProgressReport.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L350-L350","name":"Lean.Lsp.WorkDoneProgressReport.kind","line":350,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.kind","doc":""},"Lean.Lsp.WorkDoneProgressReport.cancellable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L354-L354","name":"Lean.Lsp.WorkDoneProgressReport.cancellable","line":354,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressReport.cancellable","doc":"Controls if a cancel button should show to allow the user to cancel the operation. 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"},"Lean.Lsp.WorkDoneProgressBegin.title":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L363-L363","name":"Lean.Lsp.WorkDoneProgressBegin.title","line":363,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressBegin.title","doc":""},"Lean.Lsp.WorkDoneProgressBegin.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.WorkDoneProgressBegin.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressBegin.mk","doc":""},"Lean.Lsp.WorkDoneProgressBegin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L361-L364","name":"Lean.Lsp.WorkDoneProgressBegin","line":361,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.WorkDoneProgressBegin","doc":"Notification to signal the start of progress reporting. "},"Lean.Lsp.WindowClientCapabilities.showDocument?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Capabilities.lean#L39-L39","name":"Lean.Lsp.WindowClientCapabilities.showDocument?","line":39,"kind":"def","docLink":"./Lean/Data/Lsp/Capabilities.html#Lean.Lsp.WindowClientCapabilities.showDocument?","doc":""},"Lean.Lsp.WindowClientCapabilities.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Capabilities.lean#L1-L1","name":"Lean.Lsp.WindowClientCapabilities.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Capabilities.html#Lean.Lsp.WindowClientCapabilities.mk","doc":""},"Lean.Lsp.WindowClientCapabilities":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Capabilities.lean#L38-L40","name":"Lean.Lsp.WindowClientCapabilities","line":38,"kind":"structure","docLink":"./Lean/Data/Lsp/Capabilities.html#Lean.Lsp.WindowClientCapabilities","doc":""},"Lean.Lsp.WaitForDiagnosticsParams.version":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L25-L25","name":"Lean.Lsp.WaitForDiagnosticsParams.version","line":25,"kind":"def","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams.version","doc":""},"Lean.Lsp.WaitForDiagnosticsParams.uri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L24-L24","name":"Lean.Lsp.WaitForDiagnosticsParams.uri","line":24,"kind":"def","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams.uri","doc":""},"Lean.Lsp.WaitForDiagnosticsParams.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L1-L1","name":"Lean.Lsp.WaitForDiagnosticsParams.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams.mk","doc":""},"Lean.Lsp.WaitForDiagnosticsParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Extra.lean#L23-L26","name":"Lean.Lsp.WaitForDiagnosticsParams","line":23,"kind":"structure","docLink":"./Lean/Data/Lsp/Extra.html#Lean.Lsp.WaitForDiagnosticsParams","doc":"`textDocument/waitForDiagnostics` client->server request.\n\nYields a response when all the diagnostics for a version of the document greater or equal to the\nspecified one have been emitted. 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"},"Lean.Lsp.TextEdit.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L87-L87","name":"Lean.Lsp.TextEdit.range","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.range","doc":"The range of the text document to be manipulated.\nTo insert text into a document create a range where `start = end`. "},"Lean.Lsp.TextEdit.newText":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L89-L89","name":"Lean.Lsp.TextEdit.newText","line":89,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.newText","doc":"The string to be inserted. For delete operations use an empty string. "},"Lean.Lsp.TextEdit.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextEdit.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.mk","doc":""},"Lean.Lsp.TextEdit.annotationId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L97-L97","name":"Lean.Lsp.TextEdit.annotationId?","line":97,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit.annotationId?","doc":"Identifier for annotated edit.\n\n`WorkspaceEdit` has a `changeAnnotations` field that maps these identifiers to a `ChangeAnnotation`.\nBy annotating an edit you can add a description of what the edit will do and also control whether the\nuser is presented with a prompt before applying the edit.\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit).\n"},"Lean.Lsp.TextEdit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L84-L98","name":"Lean.Lsp.TextEdit","line":84,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextEdit","doc":"A textual edit applicable to a text document.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textEdit) "},"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L86-L86","name":"Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","line":86,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSaveWaitUntil","doc":""},"Lean.Lsp.TextDocumentSyncOptions.willSave":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L85-L85","name":"Lean.Lsp.TextDocumentSyncOptions.willSave","line":85,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.willSave","doc":""},"Lean.Lsp.TextDocumentSyncOptions.save?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L87-L87","name":"Lean.Lsp.TextDocumentSyncOptions.save?","line":87,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.save?","doc":""},"Lean.Lsp.TextDocumentSyncOptions.openClose":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L83-L83","name":"Lean.Lsp.TextDocumentSyncOptions.openClose","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.openClose","doc":""},"Lean.Lsp.TextDocumentSyncOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L1-L1","name":"Lean.Lsp.TextDocumentSyncOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.mk","doc":""},"Lean.Lsp.TextDocumentSyncOptions.change":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L84-L84","name":"Lean.Lsp.TextDocumentSyncOptions.change","line":84,"kind":"def","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions.change","doc":""},"Lean.Lsp.TextDocumentSyncOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/TextSync.lean#L82-L88","name":"Lean.Lsp.TextDocumentSyncOptions","line":82,"kind":"structure","docLink":"./Lean/Data/Lsp/TextSync.html#Lean.Lsp.TextDocumentSyncOptions","doc":"NOTE: This is defined twice in the spec. 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"},"Lean.Lsp.TextDocumentItem.uri":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L279-L279","name":"Lean.Lsp.TextDocumentItem.uri","line":279,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.uri","doc":"The text document's URI. "},"Lean.Lsp.TextDocumentItem.text":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L285-L285","name":"Lean.Lsp.TextDocumentItem.text","line":285,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.text","doc":"The content of the opened text document. "},"Lean.Lsp.TextDocumentItem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L1-L1","name":"Lean.Lsp.TextDocumentItem.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.mk","doc":""},"Lean.Lsp.TextDocumentItem.languageId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L281-L281","name":"Lean.Lsp.TextDocumentItem.languageId","line":281,"kind":"def","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem.languageId","doc":"The text document's language identifier. "},"Lean.Lsp.TextDocumentItem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Basic.lean#L277-L286","name":"Lean.Lsp.TextDocumentItem","line":277,"kind":"structure","docLink":"./Lean/Data/Lsp/Basic.html#Lean.Lsp.TextDocumentItem","doc":"An item to transfer a text document from the client to the 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"},"Lean.Lsp.CodeActionTriggerKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L34-L41","name":"Lean.Lsp.CodeActionTriggerKind","line":34,"kind":"inductive","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionTriggerKind","doc":""},"Lean.Lsp.CodeActionParams.textDocument":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L81-L81","name":"Lean.Lsp.CodeActionParams.textDocument","line":81,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.textDocument","doc":""},"Lean.Lsp.CodeActionParams.range":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L82-L82","name":"Lean.Lsp.CodeActionParams.range","line":82,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.range","doc":""},"Lean.Lsp.CodeActionParams.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionParams.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.mk","doc":""},"Lean.Lsp.CodeActionParams.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L83-L83","name":"Lean.Lsp.CodeActionParams.context","line":83,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams.context","doc":""},"Lean.Lsp.CodeActionParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L80-L84","name":"Lean.Lsp.CodeActionParams","line":80,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionParams","doc":"Parameters for a [CodeActionRequest](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#textDocument_codeAction). "},"Lean.Lsp.CodeActionOptions.resolveProvider?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L98-L98","name":"Lean.Lsp.CodeActionOptions.resolveProvider?","line":98,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.resolveProvider?","doc":"The server provides support to resolve additional information for a code action. "},"Lean.Lsp.CodeActionOptions.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionOptions.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.mk","doc":""},"Lean.Lsp.CodeActionOptions.codeActionKinds?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L96-L96","name":"Lean.Lsp.CodeActionOptions.codeActionKinds?","line":96,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions.codeActionKinds?","doc":"CodeActionKinds that this server may return.\n\nThe list of kinds may be generic, such as `\"refactor\"`, or the server may list out every specific kind they provide. "},"Lean.Lsp.CodeActionOptions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L92-L99","name":"Lean.Lsp.CodeActionOptions","line":92,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionOptions","doc":"Capabilities of the server for handling code actions. "},"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L141-L141","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","line":141,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.valueSet","doc":"The code action kind values the client supports. When this\nproperty exists the client also guarantees that it will\nhandle values outside its set gracefully and falls back\nto a default value when unknown.\n"},"Lean.Lsp.CodeActionLiteralSupportValueSet.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupportValueSet.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupportValueSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L135-L142","name":"Lean.Lsp.CodeActionLiteralSupportValueSet","line":135,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupportValueSet","doc":""},"Lean.Lsp.CodeActionLiteralSupport.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionLiteralSupport.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.mk","doc":""},"Lean.Lsp.CodeActionLiteralSupport.codeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L146-L146","name":"Lean.Lsp.CodeActionLiteralSupport.codeActionKind","line":146,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport.codeActionKind","doc":"The code action kind is supported with the following value set. "},"Lean.Lsp.CodeActionLiteralSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L144-L147","name":"Lean.Lsp.CodeActionLiteralSupport","line":144,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionLiteralSupport","doc":""},"Lean.Lsp.CodeActionKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L32-L32","name":"Lean.Lsp.CodeActionKind","line":32,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionKind","doc":"The kind of a code action.\n\nKinds are a hierarchical list of identifiers separated by `.`,\ne.g. `\"refactor.extract.function\"`.\n\nThe set of kinds is open and client needs to announce the kinds it supports\nto the server during initialization.\nYou can make your own code action kinds, the ones supported by LSP are:\n- `quickfix`\n- `refactor`\n - `refactor.extract`\n - `refactor.inline`\n - `refactor.rewrite`\n- `source` Source code actions apply to the entire file. Eg fixing all issues or organising imports.\n - `source.organizeImports`\n - `source.fixAll`\n"},"Lean.Lsp.CodeActionDisabled.reason":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L88-L88","name":"Lean.Lsp.CodeActionDisabled.reason","line":88,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.reason","doc":""},"Lean.Lsp.CodeActionDisabled.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionDisabled.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled.mk","doc":""},"Lean.Lsp.CodeActionDisabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L87-L89","name":"Lean.Lsp.CodeActionDisabled","line":87,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionDisabled","doc":"If the code action is disabled, this type gives the reson why. "},"Lean.Lsp.CodeActionContext.triggerKind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L76-L76","name":"Lean.Lsp.CodeActionContext.triggerKind?","line":76,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.triggerKind?","doc":"The reason why code actions were requested. "},"Lean.Lsp.CodeActionContext.only?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L74-L74","name":"Lean.Lsp.CodeActionContext.only?","line":74,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.only?","doc":"Requested kind of actions to return.\n\nActions not of this kind are filtered out by the client before being\nshown. So servers can omit computing them.\n"},"Lean.Lsp.CodeActionContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.mk","doc":""},"Lean.Lsp.CodeActionContext.diagnostics":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L68-L68","name":"Lean.Lsp.CodeActionContext.diagnostics","line":68,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext.diagnostics","doc":"An array of diagnostics known on the client side overlapping the range\nprovided to the `textDocument/codeAction` request. They are provided so\nthat the server knows which errors are currently presented to the user\nfor the given range. There is no guarantee that these accurately reflect\nthe error state of the resource. The primary parameter\nto compute code actions is the provided range.\n"},"Lean.Lsp.CodeActionContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L59-L77","name":"Lean.Lsp.CodeActionContext","line":59,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionContext","doc":"Contains additional diagnostic information about the context in which a code action is run.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionContext) "},"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L168-L168","name":"Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","line":168,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.resolveSupport?","doc":"Whether the client supports resolving additional code action properties via a separate `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeActionClientCapabilities.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.mk","doc":""},"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L154-L154","name":"Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","line":154,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.isPreferredSupport?","doc":"Whether the code action supports the `isPreferred` property. "},"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L164-L164","name":"Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","line":164,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.honorsChangeAnnotations?","doc":"Whether the client honors the change annotations in\ntext edits and resource operations returned via the\n`CodeAction#edit` property by for example presenting\nthe workspace edit in the user interface and asking\nfor confirmation. "},"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L152-L152","name":"Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","line":152,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dynamicRegistration?","doc":"Whether we can [register capabilities dynamically](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#client_registerCapability). "},"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L156-L156","name":"Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","line":156,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.disabledSupport?","doc":"Whether the code action supports the `disabled` property. "},"Lean.Lsp.CodeActionClientCapabilities.dataSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L158-L158","name":"Lean.Lsp.CodeActionClientCapabilities.dataSupport?","line":158,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.dataSupport?","doc":"Weather code action supports the `data` property which is preserved between a `textDocument/codeAction` and a `codeAction/resolve` request. "},"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L166-L166","name":"Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","line":166,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities.codeActionLiteralSupport?","doc":"The client supports code action literals as a valid response of the `textDocument/codeAction` request. "},"Lean.Lsp.CodeActionClientCapabilities":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L150-L169","name":"Lean.Lsp.CodeActionClientCapabilities","line":150,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeActionClientCapabilities","doc":"[Reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeActionClientCapabilities) "},"Lean.Lsp.CodeAction.title":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L110-L110","name":"Lean.Lsp.CodeAction.title","line":110,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.title","doc":"A short, human-readable, title for this code action. "},"Lean.Lsp.CodeAction.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L1-L1","name":"Lean.Lsp.CodeAction.mk","line":1,"kind":"ctor","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.mk","doc":""},"Lean.Lsp.CodeAction.kind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L112-L112","name":"Lean.Lsp.CodeAction.kind?","line":112,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.kind?","doc":"The kind of the code action. "},"Lean.Lsp.CodeAction.isPreferred?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L116-L116","name":"Lean.Lsp.CodeAction.isPreferred?","line":116,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.isPreferred?","doc":"Marks this as a preferred action. Preferred actions are used by the `auto fix` command and can be targeted by keybindings. "},"Lean.Lsp.CodeAction.edit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L120-L120","name":"Lean.Lsp.CodeAction.edit?","line":120,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.edit?","doc":"The workspace edit this code action performs. "},"Lean.Lsp.CodeAction.disabled?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L118-L118","name":"Lean.Lsp.CodeAction.disabled?","line":118,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.disabled?","doc":"Marks that the code action cannot currently be applied. "},"Lean.Lsp.CodeAction.diagnostics?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L114-L114","name":"Lean.Lsp.CodeAction.diagnostics?","line":114,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.diagnostics?","doc":"The diagnostics that this code action resolves. "},"Lean.Lsp.CodeAction.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L128-L128","name":"Lean.Lsp.CodeAction.data?","line":128,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.data?","doc":"A data entry field that is preserved on a code action between a `textDocument/codeAction` and a `codeAction/resolve` request.\nIn particular, for Lean-created commands we expect `data` to have a `uri : DocumentUri` field so that `FileSource` can be implemented.\n "},"Lean.Lsp.CodeAction.command?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L124-L124","name":"Lean.Lsp.CodeAction.command?","line":124,"kind":"def","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction.command?","doc":"A command this code action executes.\n\nIf a code action provides an edit and a command, first the edit is executed and then the command. "},"Lean.Lsp.CodeAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/CodeActions.lean#L108-L129","name":"Lean.Lsp.CodeAction","line":108,"kind":"structure","docLink":"./Lean/Data/Lsp/CodeActions.html#Lean.Lsp.CodeAction","doc":"A code action represents a change that can be performed in code, e.g. to fix a problem or to refactor code.\n\nA CodeAction should set either `edit` and/or a `command`.\nIf both are supplied, the `edit` is applied first, then the `command` is executed.\nIf none are supplied, the client makes a `codeAction/resolve` JSON-RPC request to compute the edit.\n\n[reference](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#codeAction) 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"Lean.JsonRpc.ResponseError.mk","line":173,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.mk","doc":""},"Lean.JsonRpc.ResponseError.message":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L177-L177","name":"Lean.JsonRpc.ResponseError.message","line":177,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.message","doc":"A string providing a short description of the error. "},"Lean.JsonRpc.ResponseError.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L174-L174","name":"Lean.JsonRpc.ResponseError.id","line":174,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.id","doc":""},"Lean.JsonRpc.ResponseError.data?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L180-L180","name":"Lean.JsonRpc.ResponseError.data?","line":180,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.data?","doc":"A primitive or structured value that contains additional\ninformation about the error. Can be omitted. "},"Lean.JsonRpc.ResponseError.code":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L175-L175","name":"Lean.JsonRpc.ResponseError.code","line":175,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError.code","doc":""},"Lean.JsonRpc.ResponseError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L173-L181","name":"Lean.JsonRpc.ResponseError","line":173,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.ResponseError","doc":"Generic version of `Message.responseError`.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#error_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseError).\n"},"Lean.JsonRpc.Response.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L161-L161","name":"Lean.JsonRpc.Response.result","line":161,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.result","doc":""},"Lean.JsonRpc.Response.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L159-L159","name":"Lean.JsonRpc.Response.mk","line":159,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.mk","doc":""},"Lean.JsonRpc.Response.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L160-L160","name":"Lean.JsonRpc.Response.id","line":160,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response.id","doc":""},"Lean.JsonRpc.Response":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L159-L162","name":"Lean.JsonRpc.Response","line":159,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Response","doc":"Generic version of `Message.response`.\n\nA Response Message sent as a result of a request. If a request doesn’t provide a\nresult value the receiver of a request still needs to return a response message\nto conform to the JSON-RPC specification. The result property of the ResponseMessage\nshould be set to null in this case to signal a successful request.\n\nReferences:\n- [JSON-RPC](https://www.jsonrpc.org/specification#response_object)\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#responseMessage)\n"},"Lean.JsonRpc.RequestID.str":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L22-L22","name":"Lean.JsonRpc.RequestID.str","line":22,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.str","doc":""},"Lean.JsonRpc.RequestID.num":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L23-L23","name":"Lean.JsonRpc.RequestID.num","line":23,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.num","doc":""},"Lean.JsonRpc.RequestID.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L24-L24","name":"Lean.JsonRpc.RequestID.null","line":24,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID.null","doc":""},"Lean.JsonRpc.RequestID":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L21-L25","name":"Lean.JsonRpc.RequestID","line":21,"kind":"inductive","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.RequestID","doc":"In JSON-RPC, each request from the client editor to the language server comes with a\nrequest id so that the corresponding response can be identified or cancelled. "},"Lean.JsonRpc.Request.param":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L127-L127","name":"Lean.JsonRpc.Request.param","line":127,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.param","doc":""},"Lean.JsonRpc.Request.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L124-L124","name":"Lean.JsonRpc.Request.mk","line":124,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.mk","doc":""},"Lean.JsonRpc.Request.method":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L126-L126","name":"Lean.JsonRpc.Request.method","line":126,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.method","doc":""},"Lean.JsonRpc.Request.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L125-L125","name":"Lean.JsonRpc.Request.id","line":125,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request.id","doc":""},"Lean.JsonRpc.Request":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L124-L128","name":"Lean.JsonRpc.Request","line":124,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Request","doc":"Generic version of `Message.request`.\n\nA request message to describe a request between the client and the server. Every processed request must send a response back to the sender of the request.\n\n- [LSP](https://microsoft.github.io/language-server-protocol/specifications/lsp/3.17/specification/#requestMessage)\n- [JSON-RPC](https://www.jsonrpc.org/specification#request_object)\n"},"Lean.JsonRpc.Notification.param":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L142-L142","name":"Lean.JsonRpc.Notification.param","line":142,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.param","doc":""},"Lean.JsonRpc.Notification.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L140-L140","name":"Lean.JsonRpc.Notification.mk","line":140,"kind":"ctor","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.mk","doc":""},"Lean.JsonRpc.Notification.method":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L141-L141","name":"Lean.JsonRpc.Notification.method","line":141,"kind":"def","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification.method","doc":""},"Lean.JsonRpc.Notification":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/JsonRpc.lean#L140-L143","name":"Lean.JsonRpc.Notification","line":140,"kind":"structure","docLink":"./Lean/Data/JsonRpc.html#Lean.JsonRpc.Notification","doc":"Generic version of `Message.notification`.\n\nA notification message. 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It is used by the `ac_rfl` tactic\n(which also simplifies neutral elements when available).\n"},"Lean.IsIdempotent.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1692-L1692","name":"Lean.IsIdempotent.mk","line":1692,"kind":"ctor","docLink":"./Init/Core.html#Lean.IsIdempotent.mk","doc":""},"Lean.IsIdempotent.idempotent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1694-L1694","name":"Lean.IsIdempotent.idempotent","line":1694,"kind":"def","docLink":"./Init/Core.html#Lean.IsIdempotent.idempotent","doc":"An idempotent operation satisfies `a ∘ a = a`. 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#Lean.IR.ExplicitBoxing.M","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.nextIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L103-L103","name":"Lean.IR.ExplicitBoxing.BoxingState.nextIdx","line":103,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.nextIdx","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.nextAuxId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L117-L117","name":"Lean.IR.ExplicitBoxing.BoxingState.nextAuxId","line":117,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.nextAuxId","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L1-L1","name":"Lean.IR.ExplicitBoxing.BoxingState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.mk","doc":""},"Lean.IR.ExplicitBoxing.BoxingState.auxDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L115-L115","name":"Lean.IR.ExplicitBoxing.BoxingState.auxDecls","line":115,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.auxDecls","doc":"We create auxiliary declarations when boxing constant and literals.\nThe idea is to avoid code such as\n```\nlet x1 := Uint64.inhabited;\nlet x2 := box x1;\n...\n```\nWe currently do not cache these declarations in an environment extension, but\nwe use auxDeclCache to avoid creating equivalent auxiliary declarations more than once when\nprocessing the same IR declaration.\n"},"Lean.IR.ExplicitBoxing.BoxingState.auxDeclCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L116-L116","name":"Lean.IR.ExplicitBoxing.BoxingState.auxDeclCache","line":116,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState.auxDeclCache","doc":""},"Lean.IR.ExplicitBoxing.BoxingState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L102-L117","name":"Lean.IR.ExplicitBoxing.BoxingState","line":102,"kind":"structure","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingState","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.resultType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L98-L98","name":"Lean.IR.ExplicitBoxing.BoxingContext.resultType","line":98,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.resultType","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L1-L1","name":"Lean.IR.ExplicitBoxing.BoxingContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.mk","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.localCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L97-L97","name":"Lean.IR.ExplicitBoxing.BoxingContext.localCtx","line":97,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.localCtx","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L96-L96","name":"Lean.IR.ExplicitBoxing.BoxingContext.f","line":96,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.f","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L100-L100","name":"Lean.IR.ExplicitBoxing.BoxingContext.env","line":100,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.env","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L99-L99","name":"Lean.IR.ExplicitBoxing.BoxingContext.decls","line":99,"kind":"def","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext.decls","doc":""},"Lean.IR.ExplicitBoxing.BoxingContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/Boxing.lean#L95-L100","name":"Lean.IR.ExplicitBoxing.BoxingContext","line":95,"kind":"structure","docLink":"./Lean/Compiler/IR/Boxing.html#Lean.IR.ExplicitBoxing.BoxingContext","doc":""},"Lean.IR.ExpandResetReuse.setFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L143-L144","name":"Lean.IR.ExpandResetReuse.setFields","line":143,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.setFields","doc":""},"Lean.IR.ExpandResetReuse.searchAndExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L249-L263","name":"Lean.IR.ExpandResetReuse.searchAndExpand","line":249,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.searchAndExpand","doc":""},"Lean.IR.ExpandResetReuse.reuseToSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L188-L209","name":"Lean.IR.ExpandResetReuse.reuseToSet","line":188,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.reuseToSet","doc":""},"Lean.IR.ExpandResetReuse.reuseToCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L90-L110","name":"Lean.IR.ExpandResetReuse.reuseToCtor","line":90,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.reuseToCtor","doc":"Replace `reuse x ctor ...` with `ctor ...`, and remoce `dec x` "},"Lean.IR.ExpandResetReuse.removeSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L168-L186","name":"Lean.IR.ExpandResetReuse.removeSelfSet","line":168,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.removeSelfSet","doc":"Remove unnecessary `set/uset/sset` operations "},"Lean.IR.ExpandResetReuse.releaseUnreadFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L135-L141","name":"Lean.IR.ExpandResetReuse.releaseUnreadFields","line":135,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.releaseUnreadFields","doc":""},"Lean.IR.ExpandResetReuse.mkSlowPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L124-L129","name":"Lean.IR.ExpandResetReuse.mkSlowPath","line":124,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkSlowPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\ninc z_1; ...; inc z_i; dec y; b'\n```\nwhere `z_i`'s are the variables in `mask`,\nand `b'` is `b` where we removed `dec x` and replaced `reuse x ctor_i ...` with `ctor_i ...`.\n"},"Lean.IR.ExpandResetReuse.mkProjMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L31-L34","name":"Lean.IR.ExpandResetReuse.mkProjMap","line":31,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkProjMap","doc":"Create a mapping from variables to projections.\nThis function assumes variable ids have been normalized "},"Lean.IR.ExpandResetReuse.mkFresh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L132-L133","name":"Lean.IR.ExpandResetReuse.mkFresh","line":132,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFresh","doc":""},"Lean.IR.ExpandResetReuse.mkFastPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L230-L233","name":"Lean.IR.ExpandResetReuse.mkFastPath","line":230,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.mkFastPath","doc":"replace\n```\nx := reset y; b\n```\nwith\n```\nlet f_i_1 := proj[i_1] y;\n...\nlet f_i_k := proj[i_k] y;\nb'\n```\nwhere `i_j`s are the field indexes\nthat the code did not touch immediately before the reset.\nThat is `mask[j] == none`.\n`b'` is `b` where `y` `dec x` is replaced with `del y`,\nand `z := reuse x ctor_i ws; F` is replaced with\n`set x i ws[i]` operations, and we replace `z` with `x` in `F`\n"},"Lean.IR.ExpandResetReuse.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L265-L272","name":"Lean.IR.ExpandResetReuse.main","line":265,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.main","doc":""},"Lean.IR.ExpandResetReuse.isSelfUSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L156-L159","name":"Lean.IR.ExpandResetReuse.isSelfUSet","line":156,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfUSet","doc":"Given `uset x[i] := y`, return true iff `y := uproj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L147-L153","name":"Lean.IR.ExpandResetReuse.isSelfSet","line":147,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSet","doc":"Given `set x[i] := y`, return true iff `y := proj[i] x` "},"Lean.IR.ExpandResetReuse.isSelfSSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L162-L165","name":"Lean.IR.ExpandResetReuse.isSelfSSet","line":162,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.isSelfSSet","doc":"Given `sset x[n, i] := y`, return true iff `y := sproj[n, i] x` "},"Lean.IR.ExpandResetReuse.expand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L236-L247","name":"Lean.IR.ExpandResetReuse.expand","line":236,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.expand","doc":""},"Lean.IR.ExpandResetReuse.eraseProjIncForAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L53-L82","name":"Lean.IR.ExpandResetReuse.eraseProjIncForAux","line":53,"kind":"opaque","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncForAux","doc":"Auxiliary function for eraseProjIncFor "},"Lean.IR.ExpandResetReuse.eraseProjIncFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/IR/ExpandResetReuse.lean#L86-L87","name":"Lean.IR.ExpandResetReuse.eraseProjIncFor","line":86,"kind":"def","docLink":"./Lean/Compiler/IR/ExpandResetReuse.html#Lean.IR.ExpandResetReuse.eraseProjIncFor","doc":"Try to erase `inc` instructions on projections of `y` occurring in the tail of `bs`.\nReturn the updated `bs` and a bit mask specifying which `inc`s have been removed. 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They are redundant, but are used to create more compact\nterms, speedup reduction, and implement eta for structures.\nThe type of `struct` must be an structure-like inductive type. That is, it has only one\nconstructor, is not recursive, and it is not an inductive predicate. The kernel and elaborators\ncheck whether the `typeName` matches the type of `struct`, and whether the (zero-based) index\nis valid (i.e., it is smaller than the numbef of constructor fields).\nWhen exporting Lean developments to other systems, `proj` can be replaced with `typeName`.`rec`\napplications.\n\nExample, given `a : Nat x Bool`, `a.1` is represented as\n```\n.proj `Prod 0 a\n```\n"},"Lean.Expr.prod?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L105-L106","name":"Lean.Expr.prod?","line":105,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.prod?","doc":"Recognize `α × β` "},"Lean.Expr.occurs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindExpr.lean#L55-L56","name":"Lean.Expr.occurs","line":55,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.occurs","doc":"Return true if `e` occurs in `t` "},"Lean.Expr.notNot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L58-L61","name":"Lean.Expr.notNot?","line":58,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.notNot?","doc":""},"Lean.Expr.not?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L55-L56","name":"Lean.Expr.not?","line":55,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.not?","doc":""},"Lean.Expr.ne?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L43-L44","name":"Lean.Expr.ne?","line":43,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.ne?","doc":""},"Lean.Expr.natLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1034-L1036","name":"Lean.Expr.natLit?","line":1034,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.natLit?","doc":""},"Lean.Expr.natAdd?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L69-L70","name":"Lean.Expr.natAdd?","line":69,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.natAdd?","doc":""},"Lean.Expr.mvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1065-L1067","name":"Lean.Expr.mvarId!","line":1065,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mvarId!","doc":""},"Lean.Expr.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L336-L342","name":"Lean.Expr.mvar","line":336,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mvar","doc":"Metavariables are used to represent \"holes\" in expressions, and goals in the\ntactic framework. Metavariable declarations are stored in the `MetavarContext`.\nMetavariables are used during elaboration, and are not allowed in the kernel,\nor in the code generator.\n"},"Lean.Expr.mkDataForLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L194-L195","name":"Lean.Expr.mkDataForLet","line":194,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForLet","doc":""},"Lean.Expr.mkDataForBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L191-L192","name":"Lean.Expr.mkDataForBinder","line":191,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkDataForBinder","doc":""},"Lean.Expr.mkData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L164-L178","name":"Lean.Expr.mkData","line":164,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkData","doc":""},"Lean.Expr.mkAppRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1281-L1282","name":"Lean.Expr.mkAppRevRange","line":1281,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppRevRange","doc":"`mkAppRevRange f b e args == mkAppRev f (revArgs.extract b e)` "},"Lean.Expr.mkAppData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L181-L189","name":"Lean.Expr.mkAppData","line":181,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mkAppData","doc":"Optimized version of `Expr.mkData` for applications. "},"Lean.Expr.mdataExpr!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1109-L1111","name":"Lean.Expr.mdataExpr!","line":1109,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.mdataExpr!","doc":""},"Lean.Expr.mdata":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L435-L445","name":"Lean.Expr.mdata","line":435,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.mdata","doc":"Metadata (aka annotations).\n\nWe use annotations to provide hints to the pretty-printer,\nstore references to `Syntax` nodes, position information, and save information for\nelaboration procedures (e.g., we use the `inaccessible` annotation during elaboration to\nmark `Expr`s that correspond to inaccessible patterns).\n\nNote that `Expr.mdata data e` is definitionally equal to `e`.\n"},"Lean.Expr.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L764-L764","name":"Lean.Expr.lt","line":764,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lt","doc":"A total order for expressions that takes the structure into account (e.g., variable names). "},"Lean.Expr.lowerLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1150-L1150","name":"Lean.Expr.lowerLooseBVars","line":1150,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.lowerLooseBVars","doc":"Lower the loose bound variables `>= s` in `e` by `d`.\nThat is, a loose bound variable `bvar i`.\n`i >= s` is mapped into `bvar (i-d)`.\n\nRemark: if `s < d`, then result is `e`\n"},"Lean.Expr.looseBVarRangeEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L602-L602","name":"Lean.Expr.looseBVarRangeEx","line":602,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRangeEx","doc":""},"Lean.Expr.looseBVarRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L581-L582","name":"Lean.Expr.looseBVarRange","line":581,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.looseBVarRange","doc":"The range of de-Bruijn variables that are loose.\nThat is, bvars that are not bound by a binder.\nFor example, `bvar i` has range `i + 1` and\nan expression with no loose bvars has range `0`.\n"},"Lean.Expr.litValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1026-L1028","name":"Lean.Expr.litValue!","line":1026,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.litValue!","doc":""},"Lean.Expr.lit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L422-L433","name":"Lean.Expr.lit","line":422,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lit","doc":"Natural number and string literal values.\n\nThey are not really needed, but provide a more compact representation in memory\nfor these two kinds of literals, and are used to implement efficient reduction\nin the elaborator and kernel. The \"raw\" natural number `2` can be represented\nas `Expr.lit (.natVal 2)`. Note that, it is definitionally equal to:\n```lean\nExpr.app (.const `Nat.succ []) (.app (.const `Nat.succ []) (.const `Nat.zero []))\n```\n"},"Lean.Expr.listLit?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L89-L95","name":"Lean.Expr.listLit?.loop","line":89,"kind":"opaque","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?.loop","doc":""},"Lean.Expr.listLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L88-L96","name":"Lean.Expr.listLit?","line":88,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.listLit?","doc":""},"Lean.Expr.liftLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1155-L1155","name":"Lean.Expr.liftLooseBVars","line":1155,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.liftLooseBVars","doc":"Lift loose bound variables `>= s` in `e` by `d`. "},"Lean.Expr.letValue!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1097-L1099","name":"Lean.Expr.letValue!","line":1097,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letValue!","doc":""},"Lean.Expr.letType!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1093-L1095","name":"Lean.Expr.letType!","line":1093,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letType!","doc":""},"Lean.Expr.letName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1089-L1091","name":"Lean.Expr.letName!","line":1089,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letName!","doc":""},"Lean.Expr.letE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L402-L420","name":"Lean.Expr.letE","line":402,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.letE","doc":"Let-expressions.\n\n**IMPORTANT**: The `nonDep` flag is for \"local\" use only. That is, a module should not \"trust\" its value for any purpose.\nIn the intended use-case, the compiler will set this flag, and be responsible for maintaining it.\nOther modules may not preserve its value while applying transformations.\n\nGiven an environment, a metavariable context, and a local context,\nwe say a let-expression `let x : t := v; e` is non-dependent when it is equivalent\nto `(fun x : t => e) v`. Here is an example of a dependent let-expression\n`let n : Nat := 2; fun (a : Array Nat n) (b : Array Nat 2) => a = b` is type correct,\nbut `(fun (n : Nat) (a : Array Nat n) (b : Array Nat 2) => a = b) 2` is not.\n\nThe let-expression `let x : Nat := 2; Nat.succ x` is represented as\n```\nExpr.letE `x (.const `Nat []) (.lit (.natVal 2)) (.app (.const `Nat.succ []) (.bvar 0)) true\n```\n"},"Lean.Expr.letBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1101-L1103","name":"Lean.Expr.letBody!","line":1101,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.letBody!","doc":""},"Lean.Expr.lam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L372-L381","name":"Lean.Expr.lam","line":372,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.lam","doc":"A lambda abstraction (aka anonymous functions). It introduces a new binder for\nvariable `x` in scope for the lambda body.\n\nFor example, the expression `fun x : Nat => x` is represented as\n```\nExpr.lam `x (.const `Nat []) (.bvar 0) .default\n```\n"},"Lean.Expr.isType0":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L794-L796","name":"Lean.Expr.isType0","line":794,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType0","doc":"Return `true` if the given expression is of the form `.sort (.succ .zero)`. "},"Lean.Expr.isType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L789-L791","name":"Lean.Expr.isType","line":789,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isType","doc":"Return `true` if the given expression is of the form `.sort (.succ ..)`. "},"Lean.Expr.isSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L15-L17","name":"Lean.Expr.isSyntheticSorry","line":15,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSyntheticSorry","doc":""},"Lean.Expr.isStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1038-L1040","name":"Lean.Expr.isStringLit","line":1038,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isStringLit","doc":""},"Lean.Expr.isSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L784-L786","name":"Lean.Expr.isSort","line":784,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSort","doc":"Return `true` if the given expression is a `.sort ..` "},"Lean.Expr.isSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L11-L13","name":"Lean.Expr.isSorry","line":11,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isSorry","doc":""},"Lean.Expr.isSemiOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1406-L1407","name":"Lean.Expr.isSemiOutParam","line":1406,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isSemiOutParam","doc":"Return `true` if `e` is of the form `semiOutParam _` "},"Lean.Expr.isProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L799-L801","name":"Lean.Expr.isProp","line":799,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProp","doc":"Return `true` if the given expression is a `.sort .zero` "},"Lean.Expr.isProj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L824-L826","name":"Lean.Expr.isProj","line":824,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isProj","doc":"Return `true` if the given expression is a projection `.proj ..` "},"Lean.Expr.isOutParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1402-L1403","name":"Lean.Expr.isOutParam","line":1402,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOutParam","doc":"Return `true` if `e` is of the form `outParam _` "},"Lean.Expr.isOptParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1410-L1411","name":"Lean.Expr.isOptParam","line":1410,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isOptParam","doc":"Return `true` if `e` is of the form `optParam _ _` "},"Lean.Expr.isNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L19-L21","name":"Lean.Expr.isNonSyntheticSorry","line":19,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.isNonSyntheticSorry","doc":""},"Lean.Expr.isNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1030-L1032","name":"Lean.Expr.isNatLit","line":1030,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isNatLit","doc":""},"Lean.Expr.isMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L809-L811","name":"Lean.Expr.isMVar","line":809,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMVar","doc":"Return `true` if the given expression is a metavariable. "},"Lean.Expr.isMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L876-L878","name":"Lean.Expr.isMData","line":876,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isMData","doc":"Return `true` if the given expression is a metadata. "},"Lean.Expr.isLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L881-L883","name":"Lean.Expr.isLit","line":881,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLit","doc":"Return `true` if the given expression is a literal value. "},"Lean.Expr.isLet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L871-L873","name":"Lean.Expr.isLet","line":871,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLet","doc":"Return `true` if the given expression is a let-expression. "},"Lean.Expr.isLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L860-L862","name":"Lean.Expr.isLambda","line":860,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isLambda","doc":"Return `true` if the given expression is a lambda abstraction aka anonymous function. "},"Lean.Expr.isIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L82-L83","name":"Lean.Expr.isIte","line":82,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isIte","doc":""},"Lean.Expr.isHeadBetaTargetFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1342-L1346","name":"Lean.Expr.isHeadBetaTargetFn","line":1342,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTargetFn","doc":"Return true if the given expression is the function of an expression that is target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n\nSee `isHeadBetaTarget`.\n"},"Lean.Expr.isHeadBetaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1358-L1359","name":"Lean.Expr.isHeadBetaTarget","line":1358,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isHeadBetaTarget","doc":"Return true if the given expression is a target for (head) beta reduction.\nIf `useZeta = true`, then `let`-expressions are visited. That is, it assumes\nthat zeta-reduction (aka let-expansion) is going to be used.\n"},"Lean.Expr.isHEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L79-L80","name":"Lean.Expr.isHEq","line":79,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isHEq","doc":""},"Lean.Expr.isForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L855-L857","name":"Lean.Expr.isForall","line":855,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isForall","doc":"Return `true` if the given expression is a forall-expression aka (dependent) arrow. "},"Lean.Expr.isFVarOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L850-L852","name":"Lean.Expr.isFVarOf","line":850,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVarOf","doc":"Return `true` if the given expression is a free variable with the given id.\nExamples:\n- `isFVarOf (.fvar id) id` is `true`\n- ``isFVarOf (.fvar id) id'`` is `false`\n- ``isFVarOf (.sort levelZero) id`` is `false`\n"},"Lean.Expr.isFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L814-L816","name":"Lean.Expr.isFVar","line":814,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isFVar","doc":"Return `true` if the given expression is a free variable. "},"Lean.Expr.isErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L16-L17","name":"Lean.Expr.isErased","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Expr.isErased","doc":""},"Lean.Expr.isEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L76-L77","name":"Lean.Expr.isEq","line":76,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isEq","doc":""},"Lean.Expr.isDIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L85-L86","name":"Lean.Expr.isDIte","line":85,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isDIte","doc":""},"Lean.Expr.isConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L113-L121","name":"Lean.Expr.isConstructorApp?","line":113,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp?","doc":""},"Lean.Expr.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L123-L124","name":"Lean.Expr.isConstructorApp","line":123,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.isConstructorApp","doc":""},"Lean.Expr.isConstOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L839-L841","name":"Lean.Expr.isConstOf","line":839,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConstOf","doc":"Return `true` if the given expression is a constant of the give name.\nExamples:\n- `` (.const `Nat []).isConstOf `Nat `` is `true`\n- `` (.const `Nat []).isConstOf `False `` is `false`\n"},"Lean.Expr.isConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L829-L831","name":"Lean.Expr.isConst","line":829,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isConst","doc":"Return `true` if the given expression is a constant. "},"Lean.Expr.isCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1042-L1043","name":"Lean.Expr.isCharLit","line":1042,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isCharLit","doc":""},"Lean.Expr.isBinding":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L865-L868","name":"Lean.Expr.isBinding","line":865,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBinding","doc":"Return `true` if the given expression is a forall or lambda expression. "},"Lean.Expr.isBVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L804-L806","name":"Lean.Expr.isBVar","line":804,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isBVar","doc":"Return `true` if the given expression is a bound variable. "},"Lean.Expr.isAutoParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1414-L1415","name":"Lean.Expr.isAutoParam","line":1414,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAutoParam","doc":"Return `true` if `e` is of the form `autoParam _ _` "},"Lean.Expr.isAtomic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1225-L1232","name":"Lean.Expr.isAtomic","line":1225,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAtomic","doc":"Returns true when the expression does not have any sub-expressions. "},"Lean.Expr.isArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1128-L1131","name":"Lean.Expr.isArrow","line":1128,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isArrow","doc":"Return `true` if `e` is a non-dependent arrow.\nRemark: the following function assumes `e` does not have loose bound variables.\n"},"Lean.Expr.isAppOfArity'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L998-L1002","name":"Lean.Expr.isAppOfArity'","line":998,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity'","doc":"Similar to `isAppOfArity` but skips `Expr.mdata`. "},"Lean.Expr.isAppOfArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L992-L995","name":"Lean.Expr.isAppOfArity","line":992,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOfArity","doc":"Given `f a₁ ... aᵢ`, returns true if `f` is a constant\nwith name `n` and has the correct number of arguments.\n"},"Lean.Expr.isAppOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L983-L986","name":"Lean.Expr.isAppOf","line":983,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isAppOf","doc":"Given `f a₀ a₁ ... aₙ`, returns true if `f` is a constant with name `n`. "},"Lean.Expr.isApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L819-L821","name":"Lean.Expr.isApp","line":819,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.isApp","doc":"Return `true` if the given expression is an application. "},"Lean.Expr.instantiateRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1199-L1199","name":"Lean.Expr.instantiateRevRange","line":1199,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRevRange","doc":"Similar to `instantiateRev`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1185-L1185","name":"Lean.Expr.instantiateRev","line":1185,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRev","doc":"Similar to instantiate, but `Expr.bvar i` is replaced with `subst[subst.size - i - 1]` "},"Lean.Expr.instantiateRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1192-L1192","name":"Lean.Expr.instantiateRange","line":1192,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiateRange","doc":"Similar to `instantiate`, but consider only the variables `xs` in the range `[beginIdx, endIdx)`.\nFunction panics if `beginIdx <= endIdx <= xs.size` does not hold.\n"},"Lean.Expr.instantiateLevelParamsNoCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L40-L42","name":"Lean.Expr.instantiateLevelParamsNoCache","line":40,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsNoCache","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n(Does not preserve expression sharing.)\n"},"Lean.Expr.instantiateLevelParamsCore.replaceFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L17-L21","name":"Lean.Expr.instantiateLevelParamsCore.replaceFn","line":17,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsCore.replaceFn","doc":""},"Lean.Expr.instantiateLevelParamsCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L14-L21","name":"Lean.Expr.instantiateLevelParamsCore","line":14,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsCore","doc":"Instantiate level parameters\n"},"Lean.Expr.instantiateLevelParamsArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L57-L60","name":"Lean.Expr.instantiateLevelParamsArray","line":57,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParamsArray","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two arrays have different length, the smallest one is used.\n"},"Lean.Expr.instantiateLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/InstantiateLevelParams.lean#L31-L33","name":"Lean.Expr.instantiateLevelParams","line":31,"kind":"def","docLink":"./Lean/Util/InstantiateLevelParams.html#Lean.Expr.instantiateLevelParams","doc":"Instantiate universe level parameters names `paramNames` with `lvls` in `e`.\nIf the two lists have different length, the smallest one is used.\n"},"Lean.Expr.instantiateBetaRevRange.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L32-L65","name":"Lean.Expr.instantiateBetaRevRange.visit","line":32,"kind":"opaque","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange.visit","doc":""},"Lean.Expr.instantiateBetaRevRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/InferType.lean#L25-L65","name":"Lean.Expr.instantiateBetaRevRange","line":25,"kind":"def","docLink":"./Lean/Meta/InferType.html#Lean.Expr.instantiateBetaRevRange","doc":"Auxiliary function for instantiating the loose bound variables in `e` with `args[start:stop]`.\nThis function is similar to `instantiateRevRange`, but it applies beta-reduction when\nwe instantiate a bound variable with a lambda expression.\nExample: Given the term `#0 a`, and `start := 0, stop := 1, args := #[fun x => x]` the result is\n`a` instead of `(fun x => x) a`.\nThis reduction is useful when we are inferring the type of eliminator-like applications.\nFor example, given `(n m : Nat) (f : Nat → Nat) (h : m = n)`,\nthe type of `Eq.subst (motive := fun x => f m = f x) h rfl`\nis `motive n` which is `(fun (x : Nat) => f m = f x) n`\nThis function reduces the new application to `f m = f n`\n\nWe use it to implement `inferAppType`\n"},"Lean.Expr.instantiate1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1181-L1181","name":"Lean.Expr.instantiate1","line":1181,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate1","doc":""},"Lean.Expr.instantiate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1178-L1178","name":"Lean.Expr.instantiate","line":1178,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.instantiate","doc":"Instantiate the loose bound 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e numParams considerRange` updates the first `numParams` parameter binder annotations of the `e` forall type.\nIt marks any parameter with an explicit binder annotation if there is another explicit arguments that depends on it or\nthe resulting type if `considerRange == true`.\n\nRemark: we use this function to infer the bind annotations of inductive datatype constructors, and structure projections.\nWhen the `{}` annotation is used in these commands, we set `considerRange == false`.\n"},"Lean.Expr.iff?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L46-L47","name":"Lean.Expr.iff?","line":46,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.iff?","doc":""},"Lean.Expr.heq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L66-L67","name":"Lean.Expr.heq?","line":66,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.heq?","doc":""},"Lean.Expr.headNumArgs.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/HeadIndex.lean#L57-L61","name":"Lean.Expr.headNumArgs.go","line":57,"kind":"def","docLink":"./Lean/HeadIndex.html#Lean.Expr.headNumArgs.go","doc":""},"Lean.Expr.headNumArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/HeadIndex.lean#L54-L61","name":"Lean.Expr.headNumArgs","line":54,"kind":"def","docLink":"./Lean/HeadIndex.html#Lean.Expr.headNumArgs","doc":"Return 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"},"Lean.Expr.hashEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L596-L596","name":"Lean.Expr.hashEx","line":596,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hashEx","doc":""},"Lean.Expr.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L526-L527","name":"Lean.Expr.hash","line":526,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hash","doc":""},"Lean.Expr.hasSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L26-L27","name":"Lean.Expr.hasSyntheticSorry","line":26,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSyntheticSorry","doc":""},"Lean.Expr.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L23-L24","name":"Lean.Expr.hasSorry","line":23,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasSorry","doc":""},"Lean.Expr.hasNonSyntheticSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Sorry.lean#L29-L30","name":"Lean.Expr.hasNonSyntheticSorry","line":29,"kind":"def","docLink":"./Lean/Util/Sorry.html#Lean.Expr.hasNonSyntheticSorry","doc":""},"Lean.Expr.hasMVarEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L600-L600","name":"Lean.Expr.hasMVarEx","line":600,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVarEx","doc":""},"Lean.Expr.hasMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L556-L558","name":"Lean.Expr.hasMVar","line":556,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasMVar","doc":"Does the expression contain level (aka universe) or expression metavariables?\nThis is a constant time operation.\n"},"Lean.Expr.hasLooseBVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1121-L1122","name":"Lean.Expr.hasLooseBVars","line":1121,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVars","doc":""},"Lean.Expr.hasLooseBVarInExplicitDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1137-L1140","name":"Lean.Expr.hasLooseBVarInExplicitDomain","line":1137,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.hasLooseBVarInExplicitDomain","doc":"Return true if `e` contains the loose bound variable `bvarIdx` in an explicit parameter, or in the range if `tryRange == true`. 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"},"Lean.Expr.getUsedConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FoldConsts.lean#L66-L67","name":"Lean.Expr.getUsedConstants","line":66,"kind":"def","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.getUsedConstants","doc":""},"Lean.Expr.getRevArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L964-L967","name":"Lean.Expr.getRevArgD","line":964,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArgD","doc":""},"Lean.Expr.getRevArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L969-L972","name":"Lean.Expr.getRevArg!","line":969,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getRevArg!","doc":""},"Lean.Expr.getOptParamDefault?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1387-L1391","name":"Lean.Expr.getOptParamDefault?","line":1387,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getOptParamDefault?","doc":"Return `some e'` if `e` is of the form `optParam _ e'` "},"Lean.Expr.getForallBodyMaxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L894-L897","name":"Lean.Expr.getForallBodyMaxDepth","line":894,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBodyMaxDepth","doc":""},"Lean.Expr.getForallBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L890-L892","name":"Lean.Expr.getForallBody","line":890,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBody","doc":"Return the \"body\" of a forall expression.\nExample: let `e` be the representation for `forall (p : Prop) (q : Prop), p ∧ q`, then\n`getForallBody e` returns ``.app (.app (.const `And []) (.bvar 1)) (.bvar 0)``\n"},"Lean.Expr.getForallBinderNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L901-L903","name":"Lean.Expr.getForallBinderNames","line":901,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getForallBinderNames","doc":"Given a sequence of nested foralls `(a₁ : α₁) → ... → (aₙ : αₙ) → _`,\nreturns the names `[a₁, ... aₙ]`. "},"Lean.Expr.getAutoParamTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1394-L1398","name":"Lean.Expr.getAutoParamTactic?","line":1394,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAutoParamTactic?","doc":"Return `some e'` if `e` is of the form `autoParam _ e'` "},"Lean.Expr.getArgD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L979-L980","name":"Lean.Expr.getArgD","line":979,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArgD","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or returns `v₀` if out of bounds. "},"Lean.Expr.getArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L975-L976","name":"Lean.Expr.getArg!","line":975,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getArg!","doc":"Given `f a₀ a₁ ... aₙ`, returns the `i`th argument or panics if out of bounds. "},"Lean.Expr.getAppRevArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L937-L938","name":"Lean.Expr.getAppRevArgs","line":937,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppRevArgs","doc":"Same as `getAppArgs` but reverse the output array. "},"Lean.Expr.getAppNumArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L919-L920","name":"Lean.Expr.getAppNumArgs","line":919,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppNumArgs","doc":"Counts the number `n` of arguments for an expression `f a₁ .. aₙ`. "},"Lean.Expr.getAppFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L910-L912","name":"Lean.Expr.getAppFn","line":910,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppFn","doc":"If the given expression is a sequence of\nfunction applications `f a₁ .. aₙ`, return `f`.\nOtherwise return the input expression.\n"},"Lean.Expr.getAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L927-L930","name":"Lean.Expr.getAppArgs","line":927,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.getAppArgs","doc":"Given `f a₁ a₂ ... aₙ`, returns `#[a₁, ..., aₙ]` "},"Lean.Expr.fvarId!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1061-L1063","name":"Lean.Expr.fvarId!","line":1061,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.fvarId!","doc":""},"Lean.Expr.fvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L321-L334","name":"Lean.Expr.fvar","line":321,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.fvar","doc":"The `fvar` constructor represent free variables. These /free/ variable\noccurrences are not bound by an earlier `lam`, `forallE`, or `letE`\ncontructor and its binder exists in a local context only.\n\nNote that Lean uses the /locally nameless approach/. See [here](https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.365.2479&rep=rep1&type=pdf)\nfor additional details.\n\nWhen \"visiting\" the body of a binding expression (i.e. `lam`, `forallE`, or `letE`),\nbound variables are converted into free variables using a unique identifier,\nand their user-facing name, type, value (for `LetE`), and binder annotation\nare stored in the `LocalContext`.\n"},"Lean.Expr.forallE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L383-L400","name":"Lean.Expr.forallE","line":383,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.forallE","doc":"A dependent arrow `(a : α) → β)` (aka forall-expression) where `β` may dependent\non `a`. Note that this constructor is also used to represent non-dependent arrows\nwhere `β` does not depend on `a`.\n\nFor example:\n- `forall x : Prop, x ∧ x`:\n```lean\nExpr.forallE `x (.sort .zero)\n (.app (.app (.const `And []) (.bvar 0)) (.bvar 0)) .default\n```\n- `Nat → Bool`:\n```lean\nExpr.forallE `a (.const `Nat [])\n (.const `Bool []) .default\n```\n"},"Lean.Expr.forEachWhere":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/ForEachExprWhere.lean#L83-L83","name":"Lean.Expr.forEachWhere","line":83,"kind":"opaque","docLink":"./Lean/Util/ForEachExprWhere.html#Lean.Expr.forEachWhere","doc":"`e.forEachWhere p f` applies `f` to each subterm that satisfies `p`.\n"},"Lean.Expr.forEach'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/ForEachExpr.lean#L33-L34","name":"Lean.Expr.forEach'","line":33,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach'","doc":"Apply `f` to each sub-expression of `e`. If `f t` returns false, then t's children are not visited. "},"Lean.Expr.forEach":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/ForEachExpr.lean#L36-L37","name":"Lean.Expr.forEach","line":36,"kind":"def","docLink":"./Lean/Util/ForEachExpr.html#Lean.Expr.forEach","doc":""},"Lean.Expr.foldConsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FoldConsts.lean#L64-L64","name":"Lean.Expr.foldConsts","line":64,"kind":"opaque","docLink":"./Lean/Util/FoldConsts.html#Lean.Expr.foldConsts","doc":"Apply `f` to every constant occurring in `e` once. "},"Lean.Expr.findMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindMVar.lean#L31-L32","name":"Lean.Expr.findMVar?","line":31,"kind":"def","docLink":"./Lean/Util/FindMVar.html#Lean.Expr.findMVar?","doc":""},"Lean.Expr.findLevelMVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindLevelMVar.lean#L43-L44","name":"Lean.Expr.findLevelMVar?","line":43,"kind":"def","docLink":"./Lean/Util/FindLevelMVar.html#Lean.Expr.findLevelMVar?","doc":""},"Lean.Expr.findExt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindExpr.lean#L100-L100","name":"Lean.Expr.findExt?","line":100,"kind":"opaque","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.findExt?","doc":"Similar to `find?`, but `p` can return `FindStep.done` to interrupt the search on subterms.\nRemark: Differently from `find?`, we do not invoke `p` for partial applications of an application. "},"Lean.Expr.find?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/FindExpr.lean#L41-L52","name":"Lean.Expr.find?","line":41,"kind":"def","docLink":"./Lean/Util/FindExpr.html#Lean.Expr.find?","doc":""},"Lean.Expr.etaExpandedStrict?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1382-L1384","name":"Lean.Expr.etaExpandedStrict?","line":1382,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpandedStrict?","doc":"Similar to `etaExpanded?`, but only succeeds if `ₙ ≥ 1`. "},"Lean.Expr.etaExpanded?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1378-L1379","name":"Lean.Expr.etaExpanded?","line":1378,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.etaExpanded?","doc":"If `e` is of the form `(fun x₁ ... xₙ => f x₁ ... xₙ)` and `f` does not contain `x₁`, ..., `xₙ`,\nthen return `some f`. Otherwise, return `none`.\n\nIt assumes `e` does not have loose bound variables.\n\nRemark: `ₙ` may be 0\n"},"Lean.Expr.eta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1590-L1601","name":"Lean.Expr.eta","line":1590,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eta","doc":"Eta reduction. If `e` is of the form `(fun x => f x)`, then return `f`.\n"},"Lean.Expr.eqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L771-L771","name":"Lean.Expr.eqv","line":771,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.eqv","doc":"Return true iff `a` and `b` are alpha equivalent.\nBinder annotations are ignored.\n"},"Lean.Expr.equal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L781-L781","name":"Lean.Expr.equal","line":781,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.equal","doc":"Return true iff `a` and `b` are equal.\nBinder names and annotations are taking into account.\n"},"Lean.Expr.eqOrIff?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L49-L53","name":"Lean.Expr.eqOrIff?","line":49,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eqOrIff?","doc":""},"Lean.Expr.eq?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L40-L41","name":"Lean.Expr.eq?","line":40,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.eq?","doc":""},"Lean.Expr.dbgToString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L756-L756","name":"Lean.Expr.dbgToString","line":756,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.dbgToString","doc":""},"Lean.Expr.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L288-L507","name":"Lean.Expr.data","line":288,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.data","doc":""},"Lean.Expr.ctorWeight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/ACLt.lean#L12-L24","name":"Lean.Expr.ctorWeight","line":12,"kind":"def","docLink":"./Lean/Meta/ACLt.html#Lean.Expr.ctorWeight","doc":""},"Lean.Expr.ctorName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L512-L524","name":"Lean.Expr.ctorName","line":512,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.ctorName","doc":"The constructor name for the given expression. This is used for debugging purposes. "},"Lean.Expr.containsFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1459-L1460","name":"Lean.Expr.containsFVar","line":1459,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.containsFVar","doc":"Return `true` if `e` contains the given free variable. "},"Lean.Expr.consumeTypeAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1425-L1431","name":"Lean.Expr.consumeTypeAnnotations","line":1425,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.consumeTypeAnnotations","doc":"Remove `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `consumeTypeAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `consumeTypeAnnotations e = e`.\n"},"Lean.Expr.consumeMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1105-L1107","name":"Lean.Expr.consumeMData","line":1105,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.consumeMData","doc":""},"Lean.Expr.constructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L135-L152","name":"Lean.Expr.constructorApp?","line":135,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.constructorApp?","doc":"If `e` is a constructor application, return a pair containing the corresponding `ConstructorVal` and the constructor\napplication arguments.\nThis function treats numerals as constructors. For example, if `e` is the numeral `2`, the result pair\nis `ConstructorVal` for `Nat.succ`, and the array `#[1]`. The parameter `useRaw` controls how the resulting\nnumeral is represented. If `useRaw := false`, then `mkNatLit` is used, otherwise `mkRawNatLit`.\nRecall that `mkNatLit` uses the `OfNat.ofNat` application which is the canonical way of representing numerals\nin the elaborator and tactic framework. We `useRaw := false` in the compiler (aka code generator).\n"},"Lean.Expr.constName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1049-L1051","name":"Lean.Expr.constName?","line":1049,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName?","doc":""},"Lean.Expr.constName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1045-L1047","name":"Lean.Expr.constName!","line":1045,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constName!","doc":""},"Lean.Expr.constLevels!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1053-L1055","name":"Lean.Expr.constLevels!","line":1053,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.constLevels!","doc":""},"Lean.Expr.const?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L11-L14","name":"Lean.Expr.const?","line":11,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.const?","doc":""},"Lean.Expr.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L352-L358","name":"Lean.Expr.const","line":352,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.const","doc":"A (universe polymorphic) constant that has been defined earlier in the module or\nby another imported module. For example, `@Eq.{1}` is represented\nas ``Expr.const `Eq [.succ .zero]``, and `@Array.map.{0, 0}` is represented\nas ``Expr.const `Array.map [.zero, .zero]``.\n"},"Lean.Expr.collectMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/CollectMVars.lean#L38-L39","name":"Lean.Expr.collectMVars","line":38,"kind":"def","docLink":"./Lean/Util/CollectMVars.html#Lean.Expr.collectMVars","doc":""},"Lean.Expr.collectFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/CollectFVars.lean#L13-L15","name":"Lean.Expr.collectFVars","line":13,"kind":"def","docLink":"./Lean/Meta/CollectFVars.html#Lean.Expr.collectFVars","doc":""},"Lean.Expr.cleanupAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1440-L1442","name":"Lean.Expr.cleanupAnnotations","line":1440,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.cleanupAnnotations","doc":"Remove metadata annotations and `outParam`, `optParam`, and `autoParam` applications/annotations from `e`.\nNote that it does not remove nested annotations.\nExamples:\n- Given `e` of the form `outParam (optParam Nat b)`, `cleanupAnnotations e = b`.\n- Given `e` of the form `Nat → outParam (optParam Nat b)`, `cleanupAnnotations e = e`.\n"},"Lean.Expr.bvarIdx!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1057-L1059","name":"Lean.Expr.bvarIdx!","line":1057,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bvarIdx!","doc":""},"Lean.Expr.bvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L297-L319","name":"Lean.Expr.bvar","line":297,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.bvar","doc":"The `bvar` constructor represents bound variables, i.e. occurrences\nof a variable in the expression where there is a variable binder\nabove it (i.e. introduced by a `lam`, `forallE`, or `letE`).\n\nThe `deBruijnIndex` parameter is the *de-Bruijn* index for the bound\nvariable. See [here](https://en.wikipedia.org/wiki/De_Bruijn_index)\nfor additional information on de-Bruijn indexes.\n\nFor example, consider the expression `fun x : Nat => forall y : Nat, x = y`.\nThe `x` and `y` variables in the equality expression are constructed\nusing `bvar` and bound to the binders introduced by the earlier\n`lam` and `forallE` constructors. Here is the corresponding `Expr` representation\nfor the same expression:\n```lean\n.lam `x (.const `Nat [])\n (.forallE `y (.const `Nat [])\n (.app (.app (.app (.const `Eq [.succ .zero]) (.const `Nat [])) (.bvar 1)) (.bvar 0))\n .default)\n .default\n```\n"},"Lean.Expr.bindingName!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1069-L1072","name":"Lean.Expr.bindingName!","line":1069,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingName!","doc":""},"Lean.Expr.bindingInfo!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1084-L1087","name":"Lean.Expr.bindingInfo!","line":1084,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingInfo!","doc":""},"Lean.Expr.bindingDomain!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1074-L1077","name":"Lean.Expr.bindingDomain!","line":1074,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingDomain!","doc":""},"Lean.Expr.bindingBody!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1079-L1082","name":"Lean.Expr.bindingBody!","line":1079,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.bindingBody!","doc":""},"Lean.Expr.binderInfoEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L603-L603","name":"Lean.Expr.binderInfoEx","line":603,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfoEx","doc":""},"Lean.Expr.binderInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L587-L591","name":"Lean.Expr.binderInfo","line":587,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.binderInfo","doc":"Return the binder information if `e` is a lambda or forall expression, and `.default` otherwise.\n"},"Lean.Expr.betaRev.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1303-L1325","name":"Lean.Expr.betaRev.go","line":1303,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.betaRev.go","doc":""},"Lean.Expr.betaRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1299-L1326","name":"Lean.Expr.betaRev","line":1299,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.betaRev","doc":"If `f` is a lambda expression, than \"beta-reduce\" it using `revArgs`.\nThis function is often used with `getAppRev` or `withAppRev`.\nExamples:\n- `betaRev (fun x y => t x y) #[]` ==> `fun x y => t x y`\n- `betaRev (fun x y => t x y) #[a]` ==> `fun y => t a y`\n- `betaRev (fun x y => t x y) #[a, b]` ==> `t b a`\n- `betaRev (fun x y => t x y) #[a, b, c, d]` ==> `t d c b a`\nSuppose `t` is `(fun x y => t x y) a b c d`, then\n`args := t.getAppRev` is `#[d, c, b, a]`,\nand `betaRev (fun x y => t x y) #[d, c, b, a]` is `t a b c d`.\n\nIf `useZeta` is true, the function also performs zeta-reduction (reduction of let binders) to create further\nopportunities for beta reduction.\n"},"Lean.Expr.beta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1332-L1333","name":"Lean.Expr.beta","line":1332,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.beta","doc":"Apply the given arguments to `f`, beta-reducing if `f` is a\nlambda expression. See docstring for `betaRev` for examples.\n"},"Lean.Expr.arrow?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L72-L74","name":"Lean.Expr.arrow?","line":72,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrow?","doc":""},"Lean.Expr.arrayLit?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L98-L102","name":"Lean.Expr.arrayLit?","line":98,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.arrayLit?","doc":""},"Lean.Expr.approxDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L572-L573","name":"Lean.Expr.approxDepth","line":572,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.approxDepth","doc":"Return the approximated depth of an expression. This information is used to compute\nthe expression hash code, and speedup comparisons.\nThis is a constant time operation. We say it is approximate because it maxes out at `255`.\n"},"Lean.Expr.applyFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Tactic/FVarSubst.lean#L73-L74","name":"Lean.Expr.applyFVarSubst","line":73,"kind":"def","docLink":"./Lean/Meta/Tactic/FVarSubst.html#Lean.Expr.applyFVarSubst","doc":""},"Lean.Expr.appFn!'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1012-L1015","name":"Lean.Expr.appFn!'","line":1012,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appFn!'","doc":""},"Lean.Expr.appFn!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1004-L1006","name":"Lean.Expr.appFn!","line":1004,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appFn!","doc":""},"Lean.Expr.appArg!'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1017-L1020","name":"Lean.Expr.appArg!'","line":1017,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appArg!'","doc":""},"Lean.Expr.appArg!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1008-L1010","name":"Lean.Expr.appArg!","line":1008,"kind":"def","docLink":"./Lean/Expr.html#Lean.Expr.appArg!","doc":""},"Lean.Expr.app4?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L34-L38","name":"Lean.Expr.app4?","line":34,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app4?","doc":""},"Lean.Expr.app3?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L28-L32","name":"Lean.Expr.app3?","line":28,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app3?","doc":""},"Lean.Expr.app2?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L22-L26","name":"Lean.Expr.app2?","line":22,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app2?","doc":""},"Lean.Expr.app1?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L16-L20","name":"Lean.Expr.app1?","line":16,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.app1?","doc":""},"Lean.Expr.app":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L360-L370","name":"Lean.Expr.app","line":360,"kind":"ctor","docLink":"./Lean/Expr.html#Lean.Expr.app","doc":"A function application.\n\nFor example, the natural number one, i.e. `Nat.succ Nat.zero` is represented as\n`Expr.app (.const `Nat.succ []) (.const .zero [])`\nNote that multiple arguments are represented using partial application.\n\nFor example, the two argument application `f x y` is represented as\n`Expr.app (.app f x) y`.\n"},"Lean.Expr.and?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Util/Recognizers.lean#L63-L64","name":"Lean.Expr.and?","line":63,"kind":"def","docLink":"./Lean/Util/Recognizers.html#Lean.Expr.and?","doc":""},"Lean.Expr.abstractRangeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L719-L720","name":"Lean.Expr.abstractRangeM","line":719,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Expr.abstractRangeM","doc":"Similar to `abstracM` but consider only the first `min n xs.size` entries in `xs`\n\nIt is also similar to `Expr.abstractRange`, but handles metavariables correctly.\nIt uses `elimMVarDeps` to ensure `e` and the type of the free variables `xs` do not\ncontain a metavariable `?m` s.t. local context of `?m` contains a free variable in `xs`.\n"},"Lean.Expr.abstractRange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1207-L1207","name":"Lean.Expr.abstractRange","line":1207,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.abstractRange","doc":"Similar to `abstract`, but consider only the first `min n xs.size` entries in `xs`. "},"Lean.Expr.abstractM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Meta/Basic.lean#L730-L731","name":"Lean.Expr.abstractM","line":730,"kind":"def","docLink":"./Lean/Meta/Basic.html#Lean.Expr.abstractM","doc":"Replace free (or meta) variables `xs` with loose bound variables.\nSimilar to `Expr.abstract`, but handles metavariables correctly.\n"},"Lean.Expr.abstract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Expr.lean#L1203-L1203","name":"Lean.Expr.abstract","line":1203,"kind":"opaque","docLink":"./Lean/Expr.html#Lean.Expr.abstract","doc":"Replace free (or meta) variables `xs` with loose bound variables. 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"},"Lean.EnvExtensionEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L53-L53","name":"Lean.EnvExtensionEntry","line":53,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtensionEntry","doc":""},"Lean.EnvExtension.setState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L365-L365","name":"Lean.EnvExtension.setState","line":365,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.setState","doc":""},"Lean.EnvExtension.modifyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L366-L366","name":"Lean.EnvExtension.modifyState","line":366,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.modifyState","doc":""},"Lean.EnvExtension.instInhabitedEnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L364-L364","name":"Lean.EnvExtension.instInhabitedEnvExtension","line":364,"kind":"instance","docLink":"./Lean/Environment.html#Lean.EnvExtension.instInhabitedEnvExtension","doc":""},"Lean.EnvExtension.getState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L367-L367","name":"Lean.EnvExtension.getState","line":367,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension.getState","doc":""},"Lean.EnvExtension":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Environment.lean#L358-L358","name":"Lean.EnvExtension","line":358,"kind":"def","docLink":"./Lean/Environment.html#Lean.EnvExtension","doc":""},"Lean.EnumAttributes.setValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L286-L292","name":"Lean.EnumAttributes.setValue","line":286,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.setValue","doc":""},"Lean.EnumAttributes.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L239-L239","name":"Lean.EnumAttributes.mk","line":239,"kind":"ctor","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.mk","doc":""},"Lean.EnumAttributes.getValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L278-L284","name":"Lean.EnumAttributes.getValue","line":278,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.getValue","doc":""},"Lean.EnumAttributes.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L241-L241","name":"Lean.EnumAttributes.ext","line":241,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.ext","doc":""},"Lean.EnumAttributes.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L240-L240","name":"Lean.EnumAttributes.attrs","line":240,"kind":"def","docLink":"./Lean/Attributes.html#Lean.EnumAttributes.attrs","doc":""},"Lean.EnumAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Attributes.lean#L239-L242","name":"Lean.EnumAttributes","line":239,"kind":"structure","docLink":"./Lean/Attributes.html#Lean.EnumAttributes","doc":"Given a list `[a₁, ..., a_n]` of elements of type `α`, `EnumAttributes` provides an attribute `Attr_i` for\nassociating a value `a_i` with an declaration. `α` is usually an enumeration type.\nNote that whenever we register an `EnumAttributes`, we create `n` attributes, but only one environment extension. "},"Lean.Elab.withoutModifyingStateWithInfoAndMessages":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1714-L1715","name":"Lean.Elab.withoutModifyingStateWithInfoAndMessages","line":1714,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.withoutModifyingStateWithInfoAndMessages","doc":""},"Lean.Elab.withSaveInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L314-L324","name":"Lean.Elab.withSaveInfoContext","line":314,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withSaveInfoContext","doc":"Resets the trees state `t₀`, runs `x` to produce a new trees\nstate `t₁` and sets the state to be `t₀ ++ (InfoTree.context Γ <$> t₁)`\nwhere `Γ` is the context derived from the monad state. "},"Lean.Elab.withMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L334-L340","name":"Lean.Elab.withMacroExpansionInfo","line":334,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withMacroExpansionInfo","doc":""},"Lean.Elab.withLogging":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L207-L209","name":"Lean.Elab.withLogging","line":207,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.withLogging","doc":""},"Lean.Elab.withInfoTreeContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L297-L305","name":"Lean.Elab.withInfoTreeContext","line":297,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoTreeContext","doc":"Saves the current list of trees `t₀`, runs `x` to produce a new tree list `t₁` and\nruns `mkInfoTree t₁` to get `n : InfoTree` and then restores the trees to be `t₀ ++ [n]`."},"Lean.Elab.withInfoHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L342-L352","name":"Lean.Elab.withInfoHole","line":342,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoHole","doc":""},"Lean.Elab.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L280-L293","name":"Lean.Elab.withInfoContext'","line":280,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext'","doc":"Use this to descend a node on the infotree that is being built.\n\nIt saves the current list of trees `t₀` and resets it and then runs `x >>= mkInfo`, producing either an `i : Info` or a hole id.\nRunning `x >>= mkInfo` will modify the trees state and produce a new list of trees `t₁`.\nIn the `i : Info` case, `t₁` become the children of a node `node i t₁` that is appended to `t₀`.\n "},"Lean.Elab.withInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L308-L309","name":"Lean.Elab.withInfoContext","line":308,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withInfoContext","doc":"Run `x` as a new child infotree node with header given by `mkInfo`. "},"Lean.Elab.withEnableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L357-L363","name":"Lean.Elab.withEnableInfoTree","line":357,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.withEnableInfoTree","doc":""},"Lean.Elab.withCommonTelescope.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Main.lean#L48-L55","name":"Lean.Elab.withCommonTelescope.go","line":48,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope.go","doc":""},"Lean.Elab.withCommonTelescope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Main.lean#L45-L55","name":"Lean.Elab.withCommonTelescope","line":45,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.withCommonTelescope","doc":""},"Lean.Elab.wfRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Main.lean#L81-L113","name":"Lean.Elab.wfRecursion","line":81,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Main.html#Lean.Elab.wfRecursion","doc":""},"Lean.Elab.unsupportedSyntaxExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L12-L12","name":"Lean.Elab.unsupportedSyntaxExceptionId","line":12,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.unsupportedSyntaxExceptionId","doc":""},"Lean.Elab.toAttributeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L28-L36","name":"Lean.Elab.toAttributeKind","line":28,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.toAttributeKind","doc":"```\nattrKind := leading_parser optional («scoped» <|> «local»)\n```\n"},"Lean.Elab.throwUnsupportedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L21-L22","name":"Lean.Elab.throwUnsupportedSyntax","line":21,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwUnsupportedSyntax","doc":""},"Lean.Elab.throwPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L18-L19","name":"Lean.Elab.throwPostpone","line":18,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwPostpone","doc":""},"Lean.Elab.throwIllFormedSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L24-L25","name":"Lean.Elab.throwIllFormedSyntax","line":24,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwIllFormedSyntax","doc":""},"Lean.Elab.throwErrorWithNestedErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L222-L223","name":"Lean.Elab.throwErrorWithNestedErrors","line":222,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.throwErrorWithNestedErrors","doc":""},"Lean.Elab.throwAutoBoundImplicitLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L27-L28","name":"Lean.Elab.throwAutoBoundImplicitLocal","line":27,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAutoBoundImplicitLocal","doc":""},"Lean.Elab.throwAlreadyDeclaredUniverseLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L39-L40","name":"Lean.Elab.throwAlreadyDeclaredUniverseLevel","line":39,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAlreadyDeclaredUniverseLevel","doc":""},"Lean.Elab.throwAbortTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L47-L48","name":"Lean.Elab.throwAbortTerm","line":47,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTerm","doc":""},"Lean.Elab.throwAbortTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L51-L52","name":"Lean.Elab.throwAbortTactic","line":51,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortTactic","doc":""},"Lean.Elab.throwAbortCommand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L43-L44","name":"Lean.Elab.throwAbortCommand","line":43,"kind":"def","docLink":"./Lean/Elab/Exception.html#Lean.Elab.throwAbortCommand","doc":""},"Lean.Elab.syntaxNodeKindOfAttrParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L80-L86","name":"Lean.Elab.syntaxNodeKindOfAttrParam","line":80,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.syntaxNodeKindOfAttrParam","doc":""},"Lean.Elab.sortDeclLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L75-L82","name":"Lean.Elab.sortDeclLevelParams","line":75,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.sortDeclLevelParams","doc":"Sort the given list of `usedParams` using the following order:\n- If it is an explicit level `allUserParams`, then use user given order.\n- Otherwise, use lexicographical.\n\nRemark: `scopeParams` are the universe params introduced using the `universe` command. `allUserParams` contains\nthe universe params introduced using the `universe` command *and* the `.{...}` notation.\n\nRemark: this function return an exception if there is an `u` not in `usedParams`, that is in `allUserParams` but not in `scopeParams`.\n\nRemark: `explicitParams` are in reverse declaration order. That is, the head is the last declared parameter. "},"Lean.Elab.setInfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L207-L208","name":"Lean.Elab.setInfoState","line":207,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.setInfoState","doc":""},"Lean.Elab.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Meta.lean#L13-L17","name":"Lean.Elab.runTactic","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Meta.html#Lean.Elab.runTactic","doc":"Apply the give tactic code to `mvarId` in `MetaM`. "},"Lean.Elab.runFrontend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Frontend.lean#L95-L123","name":"Lean.Elab.runFrontend","line":95,"kind":"def","docLink":"./Lean/Elab/Frontend.html#Lean.Elab.runFrontend","doc":""},"Lean.Elab.resolveGlobalNameWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L266-L272","name":"Lean.Elab.resolveGlobalNameWithInfos","line":266,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalNameWithInfos","doc":"Similar to `resolveGlobalName`, but it also adds the resolved name to the info tree. "},"Lean.Elab.resolveGlobalConstWithInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L257-L263","name":"Lean.Elab.resolveGlobalConstWithInfos","line":257,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstWithInfos","doc":"Similar to `resolveGlobalConstNoOverloadWithInfo`, except if there are multiple name resolutions then it returns them as a list. "},"Lean.Elab.resolveGlobalConstNoOverloadWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L248-L254","name":"Lean.Elab.resolveGlobalConstNoOverloadWithInfo","line":248,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.resolveGlobalConstNoOverloadWithInfo","doc":"This does the same job as `resolveGlobalConstNoOverload`; resolving an identifier\nsyntax to a unique fully resolved name or throwing if there are ambiguities.\nBut also adds this resolved name to the infotree. 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`Macro.Exception.unsupportedSyntax`.\n"},"Lean.Elab.expandDeclSig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclUtil.lean#L50-L54","name":"Lean.Elab.expandDeclSig","line":50,"kind":"def","docLink":"./Lean/Elab/DeclUtil.html#Lean.Elab.expandDeclSig","doc":""},"Lean.Elab.expandDeclIdCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L210-L216","name":"Lean.Elab.expandDeclIdCore","line":210,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclIdCore","doc":"`declId` is of the form\n```\nleading_parser ident >> optional (\".{\" >> sepBy1 ident \", \" >> \"}\")\n```\nbut we also accept a single identifier to users to make macro writing more convenient .\n"},"Lean.Elab.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L237-L254","name":"Lean.Elab.expandDeclId","line":237,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.expandDeclId","doc":"Given a declaration identifier (e.g., `ident (\".{\" ident,+ \"}\")?`) that may contain explicit universe parameters\n- Ensure the new universe parameters do not shadow universe parameters declared using `universe` command.\n- Create the fully qualified named for the declaration using the current namespace, and given `modifiers`\n- Create a short version for recursively referring to the declaration. Recall that the `protected` modifier affects the generation of the short name.\n\nThe result also contains the universe parameters provided using `universe` command, and the `.{...}` notation.\n\nThis commands also stores the doc string stored in `modifiers`.\n"},"Lean.Elab.evalSyntaxConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L92-L92","name":"Lean.Elab.evalSyntaxConstant","line":92,"kind":"opaque","docLink":"./Lean/Elab/Util.html#Lean.Elab.evalSyntaxConstant","doc":""},"Lean.Elab.eraseRecAppSyntaxExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L136-L137","name":"Lean.Elab.eraseRecAppSyntaxExpr","line":136,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntaxExpr","doc":"Eliminate recursive application annotations containing syntax. These annotations are used by the well-founded recursion module\nto produce better error messages. "},"Lean.Elab.eraseRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L139-L140","name":"Lean.Elab.eraseRecAppSyntax","line":139,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.eraseRecAppSyntax","doc":""},"Lean.Elab.ensureNoRecFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L181-L188","name":"Lean.Elab.ensureNoRecFn","line":181,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.ensureNoRecFn","doc":""},"Lean.Elab.enableInfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L354-L355","name":"Lean.Elab.enableInfoTree","line":354,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.enableInfoTree","doc":""},"Lean.Elab.elabSetOption.setOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SetOption.lean#L21-L23","name":"Lean.Elab.elabSetOption.setOption","line":21,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption.setOption","doc":""},"Lean.Elab.elabSetOption":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SetOption.lean#L13-L34","name":"Lean.Elab.elabSetOption","line":13,"kind":"def","docLink":"./Lean/Elab/SetOption.html#Lean.Elab.elabSetOption","doc":""},"Lean.Elab.elabModifiers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L117-L147","name":"Lean.Elab.elabModifiers","line":117,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.elabModifiers","doc":"Elaborate declaration modifiers (i.e., attributes, `partial`, `private`, `proctected`, `unsafe`, `noncomputable`, doc string)"},"Lean.Elab.elabDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L100-L113","name":"Lean.Elab.elabDeriving","line":100,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.elabDeriving","doc":""},"Lean.Elab.elabDeclAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L67-L68","name":"Lean.Elab.elabDeclAttrs","line":67,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabDeclAttrs","doc":""},"Lean.Elab.elabAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L57-L64","name":"Lean.Elab.elabAttrs","line":57,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttrs","doc":""},"Lean.Elab.elabAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Attributes.lean#L41-L55","name":"Lean.Elab.elabAttr","line":41,"kind":"def","docLink":"./Lean/Elab/Attributes.html#Lean.Elab.elabAttr","doc":""},"Lean.Elab.derivingHandlersRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L66-L66","name":"Lean.Elab.derivingHandlersRef","line":66,"kind":"opaque","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.derivingHandlersRef","doc":""},"Lean.Elab.defaultHandler":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L84-L85","name":"Lean.Elab.defaultHandler","line":84,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.defaultHandler","doc":""},"Lean.Elab.checkSyntaxNodeKindAtNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L71-L74","name":"Lean.Elab.checkSyntaxNodeKindAtNamespaces","line":71,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L76-L78","name":"Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","line":76,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKindAtCurrentNamespaces","doc":""},"Lean.Elab.checkSyntaxNodeKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L67-L69","name":"Lean.Elab.checkSyntaxNodeKind","line":67,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.checkSyntaxNodeKind","doc":""},"Lean.Elab.checkNotAlreadyDeclared":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L16-L37","name":"Lean.Elab.checkNotAlreadyDeclared","line":16,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkNotAlreadyDeclared","doc":"Ensure the environment does not contain a declaration with name `declName`.\nRecall that a private declaration cannot shadow a non-private one and vice-versa, although\nthey internally have different names.\n"},"Lean.Elab.checkIfShadowingStructureField":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L168-L176","name":"Lean.Elab.checkIfShadowingStructureField","line":168,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.checkIfShadowingStructureField","doc":""},"Lean.Elab.autoImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/AutoBound.lean#L12-L15","name":"Lean.Elab.autoImplicit","line":12,"kind":"opaque","docLink":"./Lean/Elab/AutoBound.html#Lean.Elab.autoImplicit","doc":""},"Lean.Elab.autoBoundImplicitExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L16-L16","name":"Lean.Elab.autoBoundImplicitExceptionId","line":16,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.autoBoundImplicitExceptionId","doc":""},"Lean.Elab.assignInfoHoleId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L329-L331","name":"Lean.Elab.assignInfoHoleId","line":329,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.assignInfoHoleId","doc":""},"Lean.Elab.applyVisibility":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclModifiers.lean#L154-L166","name":"Lean.Elab.applyVisibility","line":154,"kind":"def","docLink":"./Lean/Elab/DeclModifiers.html#Lean.Elab.applyVisibility","doc":"Ensure the function has not already been declared, and apply the given visibility setting to `declName`.\nIf `private`, return the updated name using our internal encoding for private names.\nIf `protected`, register `declName` as protected in the environment.\n"},"Lean.Elab.applyDerivingHandlers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L87-L94","name":"Lean.Elab.applyDerivingHandlers","line":87,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.applyDerivingHandlers","doc":""},"Lean.Elab.applyAttributesOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L61-L63","name":"Lean.Elab.applyAttributesOf","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.applyAttributesOf","doc":""},"Lean.Elab.admitGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L12-L15","name":"Lean.Elab.admitGoal","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.admitGoal","doc":"Assign `mvarId := sorry` "},"Lean.Elab.addPreDefinitions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L97-L164","name":"Lean.Elab.addPreDefinitions","line":97,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.addPreDefinitions","doc":""},"Lean.Elab.addNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L130-L131","name":"Lean.Elab.addNonRec","line":130,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addNonRec","doc":""},"Lean.Elab.addMacroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L56-L65","name":"Lean.Elab.addMacroStack","line":56,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.addMacroStack","doc":""},"Lean.Elab.addDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclarationRange.lean#L54-L61","name":"Lean.Elab.addDeclarationRanges","line":54,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addDeclarationRanges","doc":"Store the `range` and `selectionRange` for `declName` where `stx` is the whole syntax object decribing `declName`.\nThis method is for the builtin declarations only.\nUser-defined commands should use `Lean.addDeclarationRanges` to store this information for their commands. "},"Lean.Elab.addConstInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L234-L242","name":"Lean.Elab.addConstInfo","line":234,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addConstInfo","doc":""},"Lean.Elab.addCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L231-L232","name":"Lean.Elab.addCompletionInfo","line":231,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.addCompletionInfo","doc":""},"Lean.Elab.addAuxDeclarationRanges":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DeclarationRange.lean#L64-L68","name":"Lean.Elab.addAuxDeclarationRanges","line":64,"kind":"def","docLink":"./Lean/Elab/DeclarationRange.html#Lean.Elab.addAuxDeclarationRanges","doc":"Auxiliary method for recording ranges for auxiliary declarations (e.g., fields, nested declarations, etc. "},"Lean.Elab.addAsAxiom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L73-L75","name":"Lean.Elab.addAsAxiom","line":73,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAsAxiom","doc":"Auxiliary method for (temporarily) adding pre definition as an axiom "},"Lean.Elab.addAndCompileUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L142-L161","name":"Lean.Elab.addAndCompileUnsafe","line":142,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileUnsafe","doc":""},"Lean.Elab.addAndCompilePartialRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L163-L176","name":"Lean.Elab.addAndCompilePartialRec","line":163,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompilePartialRec","doc":""},"Lean.Elab.addAndCompileNonRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L127-L128","name":"Lean.Elab.addAndCompileNonRec","line":127,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.addAndCompileNonRec","doc":""},"Lean.Elab.adaptMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Util.lean#L183-L184","name":"Lean.Elab.adaptMacro","line":183,"kind":"def","docLink":"./Lean/Elab/Util.html#Lean.Elab.adaptMacro","doc":""},"Lean.Elab.abstractNestedProofs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Basic.lean#L65-L70","name":"Lean.Elab.abstractNestedProofs","line":65,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Basic.html#Lean.Elab.abstractNestedProofs","doc":""},"Lean.Elab.abortTermExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L14-L14","name":"Lean.Elab.abortTermExceptionId","line":14,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTermExceptionId","doc":""},"Lean.Elab.abortTacticExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L15-L15","name":"Lean.Elab.abortTacticExceptionId","line":15,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortTacticExceptionId","doc":""},"Lean.Elab.abortCommandExceptionId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Exception.lean#L13-L13","name":"Lean.Elab.abortCommandExceptionId","line":13,"kind":"opaque","docLink":"./Lean/Elab/Exception.html#Lean.Elab.abortCommandExceptionId","doc":""},"Lean.Elab.WF.withFixedPrefix.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L126-L131","name":"Lean.Elab.WF.withFixedPrefix.go","line":126,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix.go","doc":""},"Lean.Elab.WF.withFixedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L123-L131","name":"Lean.Elab.WF.withFixedPrefix","line":123,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.withFixedPrefix","doc":""},"Lean.Elab.WF.simpMatchWF?.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L112-L127","name":"Lean.Elab.WF.simpMatchWF?.pre","line":112,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?.pre","doc":""},"Lean.Elab.WF.simpMatchWF?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L105-L127","name":"Lean.Elab.WF.simpMatchWF?","line":105,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.simpMatchWF?","doc":"Simplify `match`-expressions when trying to prove equation theorems for a recursive declaration defined using well-founded recursion.\nIt is similar to `simpMatch?`, but is also tries to fold `WellFounded.fix` applications occurring in discriminants.\nSee comment at `tryToFoldWellFoundedFix`.\n"},"Lean.Elab.WF.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L211-L222","name":"Lean.Elab.WF.registerEqnsInfo","line":211,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.registerEqnsInfo","doc":""},"Lean.Elab.WF.packMutual":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackMutual.lean#L174-L188","name":"Lean.Elab.WF.packMutual","line":174,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackMutual.html#Lean.Elab.WF.packMutual","doc":"If `preDefs.size > 1`, combine different functions in a single one using `PSum`.\nThis method assumes all `preDefs` have arity 1, and have already been processed using `packDomain`.\nHere is a small example. Suppose the input is\n```\nf x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (g ⟨x.1, n, a, b⟩).fst\ng x :=\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (h ⟨x.1, n, a, b⟩, a)\nh x =>\n match x.2.1, x.2.2.1, x.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b => f ⟨x.1, n, a, b⟩\n```\nthis method produces the following pre definition\n```\nf._mutual x :=\n PSum.casesOn x\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => a\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inl ⟨val.1, n, a, b⟩))).fst\n fun val =>\n PSum.casesOn val\n (fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => (a, b)\n | Nat.succ n, a, b => (f._mutual (PSum.inr (PSum.inr ⟨val.1, n, a, b⟩)), a)\n fun val =>\n match val.2.1, val.2.2.1, val.2.2.2 with\n | 0, a, b => b\n | Nat.succ n, a, b =>\n f._mutual (PSum.inl ⟨val.1, n, a, b⟩)\n```\n\nRemark: `preDefsOriginal` is used for error reporting, it contains the definitions before applying `packDomain`.\n"},"Lean.Elab.WF.packDomain.packApplications.visitApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L148-L173","name":"Lean.Elab.WF.packDomain.packApplications.visitApp","line":148,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visitApp","doc":""},"Lean.Elab.WF.packDomain.packApplications.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L131-L147","name":"Lean.Elab.WF.packDomain.packApplications.visit","line":131,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications.visit","doc":""},"Lean.Elab.WF.packDomain.packApplications":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L121-L174","name":"Lean.Elab.WF.packDomain.packApplications","line":121,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.packApplications","doc":""},"Lean.Elab.WF.packDomain.isAppOfPreDef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L116-L119","name":"Lean.Elab.WF.packDomain.isAppOfPreDef?","line":116,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain.isAppOfPreDef?","doc":"Return `some i` if `e` is a `preDefs[i]` application "},"Lean.Elab.WF.packDomain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L61-L174","name":"Lean.Elab.WF.packDomain","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.packDomain","doc":"Convert the given pre-definitions into unary functions.\nWe \"pack\" the arguments using `PSigma`.\n"},"Lean.Elab.WF.mkUnaryArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L29-L41","name":"Lean.Elab.WF.mkUnaryArg.go","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg.go","doc":""},"Lean.Elab.WF.mkUnaryArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/PackDomain.lean#L26-L41","name":"Lean.Elab.WF.mkUnaryArg","line":26,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/PackDomain.html#Lean.Elab.WF.mkUnaryArg","doc":"Create a unary application by packing the given arguments using `PSigma.mk` "},"Lean.Elab.WF.mkFix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Fix.lean#L166-L189","name":"Lean.Elab.WF.mkFix","line":166,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Fix.html#Lean.Elab.WF.mkFix","doc":""},"Lean.Elab.WF.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L187-L207","name":"Lean.Elab.WF.mkEqns","line":187,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.mkEqns","doc":""},"Lean.Elab.WF.instInhabitedTerminationHintValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L15-L15","name":"Lean.Elab.WF.instInhabitedTerminationHintValue","line":15,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHintValue","doc":""},"Lean.Elab.WF.instInhabitedTerminationHint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L21-L21","name":"Lean.Elab.WF.instInhabitedTerminationHint","line":21,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationHint","doc":""},"Lean.Elab.WF.instInhabitedTerminationByElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L84-L84","name":"Lean.Elab.WF.instInhabitedTerminationByElement","line":84,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationByElement","doc":""},"Lean.Elab.WF.instInhabitedTerminationBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/TerminationHint.lean#L93-L93","name":"Lean.Elab.WF.instInhabitedTerminationBy","line":93,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/TerminationHint.html#Lean.Elab.WF.instInhabitedTerminationBy","doc":""},"Lean.Elab.WF.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L19-L19","name":"Lean.Elab.WF.instInhabitedEqnInfo","line":19,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.instInhabitedEqnInfo","doc":""},"Lean.Elab.WF.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Eqns.lean#L230-L232","name":"Lean.Elab.WF.getUnfoldFor?","line":230,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Eqns.html#Lean.Elab.WF.getUnfoldFor?","doc":""},"Lean.Elab.WF.getNumCandidateArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Rel.lean#L56-L59","name":"Lean.Elab.WF.getNumCandidateArgs","line":56,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getNumCandidateArgs","doc":""},"Lean.Elab.WF.getForbiddenByTrivialSizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/WF/Rel.lean#L68-L78","name":"Lean.Elab.WF.getForbiddenByTrivialSizeOf","line":68,"kind":"def","docLink":"./Lean/Elab/PreDefinition/WF/Rel.html#Lean.Elab.WF.getForbiddenByTrivialSizeOf","doc":"Given a predefinition with value `fun (x_₁ ... xₙ) (y_₁ : α₁)... (yₘ : αₘ) => ...`,\nwhere `n = fixedPrefixSize`, return an array `A` s.t. `i ∈ A` iff `sizeOf yᵢ` reduces to a literal.\nThis is the case for types such as `Prop`, `Type u`, etc.\nThis arguments should not be considered when guessing a well-founded relation.\nSee 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"},"Lean.Elab.UserWidgetInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.UserWidgetInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo.mk","doc":""},"Lean.Elab.UserWidgetInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L144-L145","name":"Lean.Elab.UserWidgetInfo.format","line":144,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.UserWidgetInfo.format","doc":""},"Lean.Elab.UserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L102-L108","name":"Lean.Elab.UserWidgetInfo","line":102,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.UserWidgetInfo","doc":"An info that represents a user-widget.\nUser-widgets are custom pieces of code that run on the editor client.\nYou can learn about user widgets at `src/Lean/Widget/UserWidget`\n"},"Lean.Elab.TerminationHints.terminationBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L17-L17","name":"Lean.Elab.TerminationHints.terminationBy?","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.terminationBy?","doc":""},"Lean.Elab.TerminationHints.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L1-L1","name":"Lean.Elab.TerminationHints.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.mk","doc":""},"Lean.Elab.TerminationHints.decreasingBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L18-L18","name":"Lean.Elab.TerminationHints.decreasingBy?","line":18,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints.decreasingBy?","doc":""},"Lean.Elab.TerminationHints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Main.lean#L16-L19","name":"Lean.Elab.TerminationHints","line":16,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Main.html#Lean.Elab.TerminationHints","doc":""},"Lean.Elab.TermInfo.runMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L99-L100","name":"Lean.Elab.TermInfo.runMetaM","line":99,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.runMetaM","doc":""},"Lean.Elab.TermInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TermInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.mk","doc":""},"Lean.Elab.TermInfo.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L37-L37","name":"Lean.Elab.TermInfo.lctx","line":37,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.lctx","doc":""},"Lean.Elab.TermInfo.isBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L40-L40","name":"Lean.Elab.TermInfo.isBinder","line":40,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.isBinder","doc":""},"Lean.Elab.TermInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L102-L108","name":"Lean.Elab.TermInfo.format","line":102,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TermInfo.format","doc":""},"Lean.Elab.TermInfo.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L39-L39","name":"Lean.Elab.TermInfo.expr","line":39,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expr","doc":""},"Lean.Elab.TermInfo.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L38-L38","name":"Lean.Elab.TermInfo.expectedType?","line":38,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo.expectedType?","doc":""},"Lean.Elab.TermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L36-L41","name":"Lean.Elab.TermInfo","line":36,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TermInfo","doc":""},"Lean.Elab.Term.withoutSavingRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L358-L359","name":"Lean.Elab.Term.withoutSavingRecAppSyntax","line":358,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutSavingRecAppSyntax","doc":"Execute `x` without storing `Syntax` for recursive applications. See `saveRecAppSyntax` field at `Context`.\n"},"Lean.Elab.Term.withoutPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L576-L577","name":"Lean.Elab.Term.withoutPostponing","line":576,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutPostponing","doc":"Execute `x` without allowing it to postpone elaboration tasks.\nThat is, `tryPostpone` is a noop. "},"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L335-L342","name":"Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","line":335,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutModifyingElabMetaStateWithInfo","doc":"Execute `x` but discard changes performed at `Term.State` and `Meta.State`.\nRecall that the `Environment` and `InfoState` are at `Core.State`. Thus, any updates to it will\nbe preserved. This method is useful for performing computations where all\nmetavariable must be resolved or discarded.\nThe `InfoTree`s are not discarded, however, and wrapped in `InfoTree.Context`\nto store their metavariable context. "},"Lean.Elab.Term.withoutMacroStackAtErr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L668-L669","name":"Lean.Elab.Term.withoutMacroStackAtErr","line":668,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutMacroStackAtErr","doc":""},"Lean.Elab.Term.withoutErrToSorryImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L424-L425","name":"Lean.Elab.Term.withoutErrToSorryImp","line":424,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorryImp","doc":""},"Lean.Elab.Term.withoutErrToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L431-L432","name":"Lean.Elab.Term.withoutErrToSorry","line":431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutErrToSorry","doc":"Execute `x` without converting errors (i.e., exceptions) to `sorry` applications.\nRecall that when `errToSorry = true`, the method `elabTerm` catches exceptions and converts them into `sorry` applications.\n"},"Lean.Elab.Term.withoutAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1494-L1495","name":"Lean.Elab.Term.withoutAutoBoundImplicit","line":1494,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withoutAutoBoundImplicit","doc":""},"Lean.Elab.Term.withSynthesizeLight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L467-L468","name":"Lean.Elab.Term.withSynthesizeLight","line":467,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesizeLight","doc":"Similar to `withSynthesize`, but sets `mayPostpone` to `true`, and do not use `synthesizeUsingDefault` "},"Lean.Elab.Term.withSynthesize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L463-L464","name":"Lean.Elab.Term.withSynthesize","line":463,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.withSynthesize","doc":"Execute `k`, and synthesize pending synthetic metavariables created while executing `k` are solved.\nIf `mayPostpone == false`, then all of them must be synthesized.\nRemark: even if `mayPostpone == true`, the method still uses `synthesizeUsingDefault` "},"Lean.Elab.Term.withSavedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L866-L869","name":"Lean.Elab.Term.withSavedContext","line":866,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withSavedContext","doc":"Execute `x` with the context saved using `saveContext`.\n"},"Lean.Elab.Term.withPushMacroExpansionStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L460-L461","name":"Lean.Elab.Term.withPushMacroExpansionStack","line":460,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withPushMacroExpansionStack","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Term.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L464-L466","name":"Lean.Elab.Term.withMacroExpansion","line":464,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack and produce macro expansion info "},"Lean.Elab.Term.withLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L410-L413","name":"Lean.Elab.Term.withLevelNames","line":410,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withLevelNames","doc":"Execute `x` using `levelNames` as the universe level parameter names. See `getLevelNames`. "},"Lean.Elab.Term.withInfoContext'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L964-L969","name":"Lean.Elab.Term.withInfoContext'","line":964,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withInfoContext'","doc":""},"Lean.Elab.Term.withDepElimPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L720-L721","name":"Lean.Elab.Term.withDepElimPatterns","line":720,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.withDepElimPatterns","doc":""},"Lean.Elab.Term.withDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L402-L403","name":"Lean.Elab.Term.withDeclName","line":402,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withDeclName","doc":"Execute `x` with `declName? := name`. See `getDeclName?`. "},"Lean.Elab.Term.withAuxDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L419-L422","name":"Lean.Elab.Term.withAuxDecl","line":419,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAuxDecl","doc":"Declare an auxiliary local declaration `shortDeclName : type` for elaborating recursive declaration `declName`,\nupdate the mapping `auxDeclToFullName`, and then execute `k`.\n"},"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1497-L1498","name":"Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","line":1497,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicitForbiddenPred","doc":""},"Lean.Elab.Term.withAutoBoundImplicit.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1478-L1489","name":"Lean.Elab.Term.withAutoBoundImplicit.loop","line":1478,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit.loop","doc":""},"Lean.Elab.Term.withAutoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1474-L1492","name":"Lean.Elab.Term.withAutoBoundImplicit","line":1474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.withAutoBoundImplicit","doc":"Enable auto-bound implicits, and execute `k` while catching auto bound implicit exceptions. When an exception is caught,\na new local declaration is created, registered, and `k` is tried to be executed again. "},"Lean.Elab.Term.universeConstraintsCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1684-L1687","name":"Lean.Elab.Term.universeConstraintsCheckpoint","line":1684,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.universeConstraintsCheckpoint","doc":"Execute `x` and then tries to solve pending universe constraints.\nNote that, stuck constraints will not be discarded.\n"},"Lean.Elab.Term.tryPostponeIfNoneOrMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L823-L826","name":"Lean.Elab.Term.tryPostponeIfNoneOrMVar","line":823,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfNoneOrMVar","doc":"If `e? = some e`, then `tryPostponeIfMVar e`, otherwise it is just `tryPostpone`. "},"Lean.Elab.Term.tryPostponeIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L818-L820","name":"Lean.Elab.Term.tryPostponeIfMVar","line":818,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfMVar","doc":"If `mayPostpone == true` and `e`'s head is a metavariable, throw `Exception.postpone`. "},"Lean.Elab.Term.tryPostponeIfHasMVars?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L832-L839","name":"Lean.Elab.Term.tryPostponeIfHasMVars?","line":832,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars?","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIt is a noop if `mayPostpone == false`.\n"},"Lean.Elab.Term.tryPostponeIfHasMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L845-L848","name":"Lean.Elab.Term.tryPostponeIfHasMVars","line":845,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostponeIfHasMVars","doc":"Throws `Exception.postpone`, if `expectedType?` contains unassigned metavariables.\nIf `mayPostpone == false`, it throws error `msg`.\n"},"Lean.Elab.Term.tryPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L809-L811","name":"Lean.Elab.Term.tryPostpone","line":809,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.tryPostpone","doc":"If `mayPostpone == true`, throw `Expection.postpone`. "},"Lean.Elab.Term.traceAtCmdPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L439-L440","name":"Lean.Elab.Term.traceAtCmdPos","line":439,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.traceAtCmdPos","doc":""},"Lean.Elab.Term.toParserDescr.processSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L138-L147","name":"Lean.Elab.Term.toParserDescr.processSeq","line":138,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSeq","doc":"Sequence (aka NullNode) "},"Lean.Elab.Term.toParserDescr.processSepBy1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L227-L232","name":"Lean.Elab.Term.toParserDescr.processSepBy1","line":227,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy1","doc":""},"Lean.Elab.Term.toParserDescr.processSepBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L220-L225","name":"Lean.Elab.Term.toParserDescr.processSepBy","line":220,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processSepBy","doc":""},"Lean.Elab.Term.toParserDescr.processParserCategory":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L153-L159","name":"Lean.Elab.Term.toParserDescr.processParserCategory","line":153,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processParserCategory","doc":""},"Lean.Elab.Term.toParserDescr.processNullaryOrCat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L193-L218","name":"Lean.Elab.Term.toParserDescr.processNullaryOrCat","line":193,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNullaryOrCat","doc":""},"Lean.Elab.Term.toParserDescr.processNonReserved":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L254-L256","name":"Lean.Elab.Term.toParserDescr.processNonReserved","line":254,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processNonReserved","doc":""},"Lean.Elab.Term.toParserDescr.processAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L241-L252","name":"Lean.Elab.Term.toParserDescr.processAtom","line":241,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAtom","doc":""},"Lean.Elab.Term.toParserDescr.processAlias":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L161-L191","name":"Lean.Elab.Term.toParserDescr.processAlias","line":161,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.processAlias","doc":""},"Lean.Elab.Term.toParserDescr.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L109-L135","name":"Lean.Elab.Term.toParserDescr.process","line":109,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.process","doc":""},"Lean.Elab.Term.toParserDescr.isValidAtom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L234-L239","name":"Lean.Elab.Term.toParserDescr.isValidAtom","line":234,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.isValidAtom","doc":""},"Lean.Elab.Term.toParserDescr.ensureNoPrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L149-L151","name":"Lean.Elab.Term.toParserDescr.ensureNoPrec","line":149,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr.ensureNoPrec","doc":""},"Lean.Elab.Term.toParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L103-L256","name":"Lean.Elab.Term.toParserDescr","line":103,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.toParserDescr","doc":"Given a `stx` of category `syntax`, return a `(newStx, lhsPrec?)`,\nwhere `newStx` is of category `term`. After elaboration, `newStx` should have type\n`TrailingParserDescr` if `lhsPrec?.isSome`, and `ParserDescr` otherwise. "},"Lean.Elab.Term.throwTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L647-L666","name":"Lean.Elab.Term.throwTypeMismatchError","line":647,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwTypeMismatchError","doc":""},"Lean.Elab.Term.throwMVarError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L502-L506","name":"Lean.Elab.Term.throwMVarError","line":502,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwMVarError","doc":"Auxiliary method for reporting errors of the form \"... contains metavariables ...\".\nThis kind of error is thrown, for example, at `Match.lean` where elaboration\ncannot continue if there are metavariables in patterns.\nWe only want to log it if we haven't logged any errors so far. "},"Lean.Elab.Term.throwInvalidNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L33-L36","name":"Lean.Elab.Term.throwInvalidNamedArg","line":33,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.throwInvalidNamedArg","doc":""},"Lean.Elab.Term.throwErrorIfErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L435-L437","name":"Lean.Elab.Term.throwErrorIfErrors","line":435,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.throwErrorIfErrors","doc":"For testing `TermElabM` methods. The #eval command will sign the error. "},"Lean.Elab.Term.termElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L367-L367","name":"Lean.Elab.Term.termElabAttribute","line":367,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.termElabAttribute","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L443-L445","name":"Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","line":443,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsUsingDefault","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L434-L435","name":"Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","line":434,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L397-L428","name":"Lean.Elab.Term.synthesizeSyntheticMVars.loop","line":397,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars.loop","doc":""},"Lean.Elab.Term.synthesizeSyntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L396-L431","name":"Lean.Elab.Term.synthesizeSyntheticMVars","line":396,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.synthesizeSyntheticMVars","doc":"Try to process pending synthetic metavariables. If `mayPostpone == false`,\nthen `pendingMVars` is `[]` after executing this method.\n\nIt keeps executing `synthesizeSyntheticMVarsStep` while progress is being made.\nIf `mayPostpone == false`, then it applies default instances to `SyntheticMVarKind.typeClass` (if available)\nmetavariables that are still unresolved, and then tries to resolve metavariables\nwith `mayPostpone == false`. That is, we force them to produce error messages and/or commit to\na \"best option\". If, after that, we still haven't made progress, we report \"stuck\" errors.\n\nRemark: we set `ignoreStuckTC := true` when elaborating `simp` arguments. Then,\npending TC problems become implicit parameters for the simp theorem.\n"},"Lean.Elab.Term.synthesizeInstMVarCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L715-L759","name":"Lean.Elab.Term.synthesizeInstMVarCore","line":715,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.synthesizeInstMVarCore","doc":"Try to synthesize metavariable using type class resolution.\nThis method assumes the local context and local instances of `instMVar` coincide\nwith the current local context and local instances.\nReturn `true` if the instance was synthesized successfully, and `false` if\nthe instance contains unassigned metavariables that are blocking the type class\nresolution procedure. Throw an exception if resolution or assignment irrevocably fails.\n"},"Lean.Elab.Term.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L58-L62","name":"Lean.Elab.Term.synthesizeAppInstMVars","line":58,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.synthesizeAppInstMVars","doc":""},"Lean.Elab.Term.shouldExpandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L42-L44","name":"Lean.Elab.Term.shouldExpandMatchAlt","line":42,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.shouldExpandMatchAlt","doc":""},"Lean.Elab.Term.setLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L406-L407","name":"Lean.Elab.Term.setLevelNames","line":406,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.setLevelNames","doc":"Update the universe level parameter names. "},"Lean.Elab.Term.setElabConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Config.lean#L56-L57","name":"Lean.Elab.Term.setElabConfig","line":56,"kind":"def","docLink":"./Lean/Elab/Config.html#Lean.Elab.Term.setElabConfig","doc":"Set `isDefEq` configuration for the elaborator.\nNote that we enable all approximations but `quasiPatternApprox`\n\nIn Lean3 and Lean 4, we used to use the quasi-pattern approximation during elaboration.\nThe example:\n```\ndef ex : StateT δ (StateT σ Id) σ :=\nmonadLift (get : StateT σ Id σ)\n```\ndemonstrates why it produces counterintuitive behavior.\nWe have the `Monad-lift` application:\n```\n@monadLift ?m ?n ?c ?α (get : StateT σ id σ) : ?n ?α\n```\nIt produces the following unification problem when we process the expected type:\n```\n?n ?α =?= StateT δ (StateT σ id) σ\n==> (approximate using first-order unification)\n?n := StateT δ (StateT σ id)\n?α := σ\n```\nThen, we need to solve:\n```\n?m ?α =?= StateT σ id σ\n==> instantiate metavars\n?m σ =?= StateT σ id σ\n==> (approximate since it is a quasi-pattern unification constraint)\n?m := fun σ => StateT σ id σ\n```\nNote that the constraint is not a Milner pattern because σ is in\nthe local context of `?m`. We are ignoring the other possible solutions:\n```\n?m := fun σ' => StateT σ id σ\n?m := fun σ' => StateT σ' id σ\n?m := fun σ' => StateT σ id σ'\n```\n\nWe need the quasi-pattern approximation for elaborating recursor-like expressions (e.g., dependent `match with` expressions).\n\nIf we had use first-order unification, then we would have produced\nthe right answer: `?m := StateT σ id`\n\nHaskell would work on this example since it always uses\nfirst-order unification.\n"},"Lean.Elab.Term.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L246-L247","name":"Lean.Elab.Term.saveState","line":246,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveState","doc":""},"Lean.Elab.Term.saveContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L853-L861","name":"Lean.Elab.Term.saveContext","line":853,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.saveContext","doc":"Save relevant context for term elaboration postponement.\n"},"Lean.Elab.Term.runTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L295-L329","name":"Lean.Elab.Term.runTactic","line":295,"kind":"opaque","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runTactic","doc":"Try to synthesize a term `val` using the tactic code `tacticCode`, and then assign `mvarId := val`.\n"},"Lean.Elab.Term.runPendingTacticsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L480-L486","name":"Lean.Elab.Term.runPendingTacticsAt","line":480,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.runPendingTacticsAt","doc":"Collect unassigned metavariables at `e` that have associated tactic blocks, and then execute them using `runTactic`.\nWe use this method at the `match .. with` elaborator when it cannot be postponed anymore, but it is still waiting\nthe result of a tactic block.\n"},"Lean.Elab.Term.resolveName.process":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1622-L1630","name":"Lean.Elab.Term.resolveName.process","line":1622,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName.process","doc":""},"Lean.Elab.Term.resolveName'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1636-L1643","name":"Lean.Elab.Term.resolveName'","line":1636,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName'","doc":"Similar to `resolveName`, but creates identifiers for the main part and each projection with position information derived from `ident`.\nExample: Assume resolveName `v.head.bla.boo` produces `(v.head, [\"bla\", \"boo\"])`, then this method produces\n`(v.head, id, [f₁, f₂])` where `id` is an identifier for `v.head`, and `f₁` and `f₂` are identifiers for fields `\"bla\"` and `\"boo\"`. "},"Lean.Elab.Term.resolveName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1604-L1630","name":"Lean.Elab.Term.resolveName","line":1604,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveName","doc":""},"Lean.Elab.Term.resolveLocalName.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1237-L1249","name":"Lean.Elab.Term.resolveLocalName.loop","line":1237,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.loop","doc":""},"Lean.Elab.Term.resolveLocalName.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1186-L1191","name":"Lean.Elab.Term.resolveLocalName.go","line":1186,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName.go","doc":""},"Lean.Elab.Term.resolveLocalName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1102-L1250","name":"Lean.Elab.Term.resolveLocalName","line":1102,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveLocalName","doc":""},"Lean.Elab.Term.resolveId?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1645-L1657","name":"Lean.Elab.Term.resolveId?","line":1645,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.resolveId?","doc":""},"Lean.Elab.Term.reportUnsolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L20-L22","name":"Lean.Elab.Term.reportUnsolvedGoals","line":20,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Term.reportUnsolvedGoals","doc":""},"Lean.Elab.Term.reportStuckSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/SyntheticMVars.lean#L209-L223","name":"Lean.Elab.Term.reportStuckSyntheticMVar","line":209,"kind":"def","docLink":"./Lean/Elab/SyntheticMVars.html#Lean.Elab.Term.reportStuckSyntheticMVar","doc":"We use this method to report typeclass (and coercion) resolution problems that are \"stuck\".\nThat is, there is nothing else to do, and we don't have enough information to synthesize them using TC resolution.\n"},"Lean.Elab.Term.reportMatcherResultErrors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L989-L999","name":"Lean.Elab.Term.reportMatcherResultErrors","line":989,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.reportMatcherResultErrors","doc":""},"Lean.Elab.Term.removeSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L911-L914","name":"Lean.Elab.Term.removeSaveInfoAnnotation","line":911,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.removeSaveInfoAnnotation","doc":""},"Lean.Elab.Term.registerSyntheticMVarWithCurrRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L474-L475","name":"Lean.Elab.Term.registerSyntheticMVarWithCurrRef","line":474,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVarWithCurrRef","doc":""},"Lean.Elab.Term.registerSyntheticMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L471-L472","name":"Lean.Elab.Term.registerSyntheticMVar","line":471,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerSyntheticMVar","doc":"Add the given metavariable to the list of pending synthetic metavariables.\nThe method `synthesizeSyntheticMVars` is used to process the metavariables on this list. "},"Lean.Elab.Term.registerMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L477-L478","name":"Lean.Elab.Term.registerMVarErrorInfo","line":477,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorInfo","doc":""},"Lean.Elab.Term.registerMVarErrorImplicitArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L483-L484","name":"Lean.Elab.Term.registerMVarErrorImplicitArgInfo","line":483,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorImplicitArgInfo","doc":""},"Lean.Elab.Term.registerMVarErrorHoleInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L480-L481","name":"Lean.Elab.Term.registerMVarErrorHoleInfo","line":480,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorHoleInfo","doc":""},"Lean.Elab.Term.registerMVarErrorCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L486-L487","name":"Lean.Elab.Term.registerMVarErrorCustomInfo","line":486,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerMVarErrorCustomInfo","doc":""},"Lean.Elab.Term.registerCustomErrorIfMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L492-L495","name":"Lean.Elab.Term.registerCustomErrorIfMVar","line":492,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.registerCustomErrorIfMVar","doc":""},"Lean.Elab.Term.quoteAutoTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L71-L86","name":"Lean.Elab.Term.quoteAutoTactic","line":71,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.quoteAutoTactic","doc":""},"Lean.Elab.Term.processDefDeriving":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Deriving/Basic.lean#L41-L59","name":"Lean.Elab.Term.processDefDeriving","line":41,"kind":"def","docLink":"./Lean/Elab/Deriving/Basic.html#Lean.Elab.Term.processDefDeriving","doc":""},"Lean.Elab.Term.precheckMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L160-L168","name":"Lean.Elab.Term.precheckMatch","line":160,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.precheckMatch","doc":""},"Lean.Elab.Term.precheckFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L607-L616","name":"Lean.Elab.Term.precheckFun","line":607,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckFun","doc":""},"Lean.Elab.Term.precheckArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L272-L276","name":"Lean.Elab.Term.precheckArrow","line":272,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.precheckArrow","doc":""},"Lean.Elab.Term.ppGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L442-L443","name":"Lean.Elab.Term.ppGoal","line":442,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ppGoal","doc":""},"Lean.Elab.Term.postponeElabTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L976-L978","name":"Lean.Elab.Term.postponeElabTerm","line":976,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.postponeElabTerm","doc":"Postpone the elaboration of `stx`, return a metavariable that acts as a placeholder, and\nensures the info tree is updated and a hole id is introduced.\nWhen `stx` is elaborated, new info nodes are created and attached to the new hole id in the info tree.\n"},"Lean.Elab.Term.observing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L271-L286","name":"Lean.Elab.Term.observing","line":271,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.observing","doc":"Execute `x`, save resulting expression and new state.\nWe remove any `Info` created by `x`.\nThe info nodes are committed when we execute `applyResult`.\nWe use `observing` to implement overloaded notation and decls.\nWe want to save `Info` nodes for the chosen alternative.\n"},"Lean.Elab.Term.mkTypeMismatchError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L641-L645","name":"Lean.Elab.Term.mkTypeMismatchError","line":641,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTypeMismatchError","doc":""},"Lean.Elab.Term.mkTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L930-L935","name":"Lean.Elab.Term.mkTermInfo","line":930,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermInfo","doc":""},"Lean.Elab.Term.mkTermElabAttributeUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L361-L362","name":"Lean.Elab.Term.mkTermElabAttributeUnsafe","line":361,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttributeUnsafe","doc":""},"Lean.Elab.Term.mkTermElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L365-L365","name":"Lean.Elab.Term.mkTermElabAttribute","line":365,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkTermElabAttribute","doc":""},"Lean.Elab.Term.mkSaveInfoAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L902-L906","name":"Lean.Elab.Term.mkSaveInfoAnnotation","line":902,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkSaveInfoAnnotation","doc":"Create an auxiliary annotation to make sure we create an `Info` even if `e` is a metavariable.\nSee `mkTermInfo`.\n\nWe use this function because some elaboration functions elaborate subterms that may not be immediately\npart of the resulting term. Example:\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nIf the type of `b` is not known, then `wait_if_type_mvar% ?m; body` is postponed and just returns a fresh\nmetavariable `?n`. The elaborator for\n```\nlet_mvar% ?m := b; wait_if_type_mvar% ?m; body\n```\nreturns `mkSaveInfoAnnotation ?n` to make sure the info nodes created when elaborating `b` are \"saved\".\nThis is a bit hackish, but elaborators like `let_mvar%` are rare.\n"},"Lean.Elab.Term.mkPairs.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L194-L201","name":"Lean.Elab.Term.mkPairs.loop","line":194,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs.loop","doc":""},"Lean.Elab.Term.mkPairs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L193-L202","name":"Lean.Elab.Term.mkPairs","line":193,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.mkPairs","doc":"Return syntax `Prod.mk elems[0] (Prod.mk elems[1] ... (Prod.mk elems[elems.size - 2] elems[elems.size - 1])))` "},"Lean.Elab.Term.mkNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1089-L1093","name":"Lean.Elab.Term.mkNoImplicitLambdaAnnotation","line":1089,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.mkMatcher":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L981-L982","name":"Lean.Elab.Term.mkMatcher","line":981,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.mkMatcher","doc":""},"Lean.Elab.Term.mkLetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L694-L701","name":"Lean.Elab.Term.mkLetIdDeclView","line":694,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.mkLetIdDeclView","doc":""},"Lean.Elab.Term.mkInstMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1440-L1445","name":"Lean.Elab.Term.mkInstMVar","line":1440,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkInstMVar","doc":"Create a new metavariable with the given type, and try to synthesize it.\nIf type class resolution cannot be executed (e.g., it is stuck because of metavariables in `type`),\nregister metavariable as a pending one.\n"},"Lean.Elab.Term.mkFreshIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L603-L604","name":"Lean.Elab.Term.mkFreshIdent","line":603,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshIdent","doc":"Auxiliary method for creating a `Syntax.ident` containing\na fresh name. This method is intended for creating fresh binder names.\nIt is just a thin layer on top of `mkFreshUserName`. "},"Lean.Elab.Term.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L596-L597","name":"Lean.Elab.Term.mkFreshBinderName","line":596,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkFreshBinderName","doc":"Auxiliary method for creating fresh binder names.\nDo not confuse with the method for creating fresh free/meta variable ids. "},"Lean.Elab.Term.mkExplicitBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L580-L581","name":"Lean.Elab.Term.mkExplicitBinder","line":580,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkExplicitBinder","doc":"Creates syntax for `(` `:` `)` "},"Lean.Elab.Term.mkConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1588-L1595","name":"Lean.Elab.Term.mkConst","line":1588,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkConst","doc":"Create an `Expr.const` using the given name and explicit levels.\nRemark: fresh universe metavariables are created if the constant has more universe\nparameters than `explicitLevels`. "},"Lean.Elab.Term.mkCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L761-L774","name":"Lean.Elab.Term.mkCoe","line":761,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkCoe","doc":""},"Lean.Elab.Term.mkCalcTrans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L27-L44","name":"Lean.Elab.Term.mkCalcTrans","line":27,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.mkCalcTrans","doc":""},"Lean.Elab.Term.mkAuxName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1569-L1572","name":"Lean.Elab.Term.mkAuxName","line":1569,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.mkAuxName","doc":""},"Lean.Elab.Term.match.ignoreUnusedAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L984-L987","name":"Lean.Elab.Term.match.ignoreUnusedAlts","line":984,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.match.ignoreUnusedAlts","doc":""},"Lean.Elab.Term.logUnassignedUsingErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L541-L565","name":"Lean.Elab.Term.logUnassignedUsingErrorInfos","line":541,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.logUnassignedUsingErrorInfos","doc":"Try to log errors for the unassigned metavariables `pendingMVarIds`.\n\nReturn `true` if there were \"unfilled holes\", and we should \"abort\" declaration.\nTODO: try to fill \"all\" holes using synthetic \"sorry's\"\n\nRemark: We only log the \"unfilled holes\" as new errors if no error has been logged so far. "},"Lean.Elab.Term.liftLevelM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L447-L454","name":"Lean.Elab.Term.liftLevelM","line":447,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.liftLevelM","doc":""},"Lean.Elab.Term.levelMVarToParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L586-L591","name":"Lean.Elab.Term.levelMVarToParam","line":586,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.levelMVarToParam","doc":"Convert unassigned universe level metavariables into parameters.\nThe new parameter names are fresh names of the form `u_i` with regard to `ctx.levelNames`, which is updated with the new names. "},"Lean.Elab.Term.kindOfBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L65-L69","name":"Lean.Elab.Term.kindOfBinderName","line":65,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.kindOfBinderName","doc":"Determines the local declaration kind depending on the variable name.\n\nThe `__x` in `let __x := 42; body` gets kind `.implDetail`.\n"},"Lean.Elab.Term.isTacticOrPostponedHole?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L921-L928","name":"Lean.Elab.Term.isTacticOrPostponedHole?","line":921,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isTacticOrPostponedHole?","doc":"Return `some mvarId` if `e` corresponds to a hole that is going to be filled \"later\" by executing a tactic or resuming elaboration.\n\nWe do not save `ofTermInfo` for this kind of node in the `InfoTree`.\n"},"Lean.Elab.Term.isSaveInfoAnnotation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L908-L909","name":"Lean.Elab.Term.isSaveInfoAnnotation?","line":908,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isSaveInfoAnnotation?","doc":""},"Lean.Elab.Term.isMVarApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L814-L815","name":"Lean.Elab.Term.isMVarApp","line":814,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isMVarApp","doc":"Return `true` if `e` reduces (by unfolding only `[reducible]` declarations) to `?m ...` "},"Lean.Elab.Term.isLocalIdent?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1253-L1260","name":"Lean.Elab.Term.isLocalIdent?","line":1253,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLocalIdent?","doc":"Return true iff `stx` is a `Syntax.ident`, and it is a local variable. "},"Lean.Elab.Term.isLetRecAuxMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1578-L1582","name":"Lean.Elab.Term.isLetRecAuxMVar","line":1578,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.isLetRecAuxMVar","doc":"Return true if mvarId is an auxiliary metavariable created for compiling `let rec` or it\nis delayed assigned to one. "},"Lean.Elab.Term.isAtomicDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L45-L50","name":"Lean.Elab.Term.isAtomicDiscr","line":45,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.isAtomicDiscr","doc":"Remark: if the discriminat is `Systax.missing`, we abort the elaboration of the `match`-expression.\nThis can happen due to error recovery. Example\n```\nexample : (p ∨ p) → p := fun h => match\n```\nIf we don't abort, the elaborator loops because we will keep trying to expand\n```\nmatch\n```\ninto\n```\nlet d := ; match\n```\nRecall that `Syntax.setArg stx i arg` is a no-op when `i` is out-of-bounds. "},"Lean.Elab.Term.instToStringSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L42-L47","name":"Lean.Elab.Term.instToStringSyntheticMVarKind","line":42,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringSyntheticMVarKind","doc":""},"Lean.Elab.Term.instToStringNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L30-L31","name":"Lean.Elab.Term.instToStringNamedArg","line":30,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringNamedArg","doc":""},"Lean.Elab.Term.instToStringMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L67-L71","name":"Lean.Elab.Term.instToStringMVarErrorKind","line":67,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringMVarErrorKind","doc":""},"Lean.Elab.Term.instToStringLVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L389-L392","name":"Lean.Elab.Term.instToStringLVal","line":389,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instToStringLVal","doc":""},"Lean.Elab.Term.instToStringArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L25-L28","name":"Lean.Elab.Term.instToStringArg","line":25,"kind":"instance","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.instToStringArg","doc":""},"Lean.Elab.Term.instNonemptySavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L244-L244","name":"Lean.Elab.Term.instNonemptySavedState","line":244,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instNonemptySavedState","doc":""},"Lean.Elab.Term.instMonadTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L229-L231","name":"Lean.Elab.Term.instMonadTermElabM","line":229,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadTermElabM","doc":""},"Lean.Elab.Term.instMonadMacroAdapterTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1038-L1041","name":"Lean.Elab.Term.instMonadMacroAdapterTermElabM","line":1038,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadMacroAdapterTermElabM","doc":""},"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L258-L260","name":"Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","line":258,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMonadBacktrackSavedStateTermElabM","doc":""},"Lean.Elab.Term.instMetaEvalTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1673-L1678","name":"Lean.Elab.Term.instMetaEvalTermElabM","line":1673,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instMetaEvalTermElabM","doc":""},"Lean.Elab.Term.instInhabitedTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L235-L236","name":"Lean.Elab.Term.instInhabitedTermElabM","line":235,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedTermElabM","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L40-L40","name":"Lean.Elab.Term.instInhabitedSyntheticMVarKind","line":40,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarKind","doc":""},"Lean.Elab.Term.instInhabitedSyntheticMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L52-L52","name":"Lean.Elab.Term.instInhabitedSyntheticMVarDecl","line":52,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedSyntheticMVarDecl","doc":""},"Lean.Elab.Term.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L109-L109","name":"Lean.Elab.Term.instInhabitedState","line":109,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedState","doc":""},"Lean.Elab.Term.instInhabitedNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedNamedArg","line":23,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedNamedArg","doc":""},"Lean.Elab.Term.instInhabitedMatchAltView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MatchAltView.lean#L23-L23","name":"Lean.Elab.Term.instInhabitedMatchAltView","line":23,"kind":"instance","docLink":"./Lean/Elab/MatchAltView.html#Lean.Elab.Term.instInhabitedMatchAltView","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L65-L65","name":"Lean.Elab.Term.instInhabitedMVarErrorKind","line":65,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorKind","doc":""},"Lean.Elab.Term.instInhabitedMVarErrorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L81-L81","name":"Lean.Elab.Term.instInhabitedMVarErrorInfo","line":81,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedMVarErrorInfo","doc":""},"Lean.Elab.Term.instInhabitedLetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L98-L98","name":"Lean.Elab.Term.instInhabitedLetRecToLift","line":98,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instInhabitedLetRecToLift","doc":""},"Lean.Elab.Term.instInhabitedDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L61-L61","name":"Lean.Elab.Term.instInhabitedDiscr","line":61,"kind":"instance","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.instInhabitedDiscr","doc":""},"Lean.Elab.Term.instInhabitedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L16-L16","name":"Lean.Elab.Term.instInhabitedArg","line":16,"kind":"instance","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.instInhabitedArg","doc":""},"Lean.Elab.Term.instAddErrorMessageContextTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L320-L326","name":"Lean.Elab.Term.instAddErrorMessageContextTermElabM","line":320,"kind":"instance","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.instAddErrorMessageContextTermElabM","doc":""},"Lean.Elab.Term.hasNoImplicitLambdaAnnotation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1086-L1087","name":"Lean.Elab.Term.hasNoImplicitLambdaAnnotation","line":1086,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.hasNoImplicitLambdaAnnotation","doc":""},"Lean.Elab.Term.hasElabWithoutExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L22-L23","name":"Lean.Elab.Term.hasElabWithoutExpectedType","line":22,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.hasElabWithoutExpectedType","doc":""},"Lean.Elab.Term.hasCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L205-L210","name":"Lean.Elab.Term.hasCDot","line":205,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.hasCDot","doc":""},"Lean.Elab.Term.getSyntheticMVarDecl?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L882-L883","name":"Lean.Elab.Term.getSyntheticMVarDecl?","line":882,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getSyntheticMVarDecl?","doc":""},"Lean.Elab.Term.getPatternsVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L342-L347","name":"Lean.Elab.Term.getPatternsVars","line":342,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternsVars","doc":"Return the pattern variables occurring in the given patterns.\nThis method is used in the `match` and `do` notation elaborators\n"},"Lean.Elab.Term.getPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L333-L336","name":"Lean.Elab.Term.getPatternVars","line":333,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVars","doc":"Return the pattern variables in the given pattern.\nRemark: this method is not used by the main `match` elaborator, but in the precheck hook and other macros (e.g., at `Do.lean`).\n"},"Lean.Elab.Term.getPatternVarNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L349-L350","name":"Lean.Elab.Term.getPatternVarNames","line":349,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.getPatternVarNames","doc":""},"Lean.Elab.Term.getMatchAltsNumPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L25-L28","name":"Lean.Elab.Term.getMatchAltsNumPatterns","line":25,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.getMatchAltsNumPatterns","doc":"Helper function for `expandEqnsIntoMatch` "},"Lean.Elab.Term.getMVarErrorInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L489-L490","name":"Lean.Elab.Term.getMVarErrorInfo?","line":489,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarErrorInfo?","doc":""},"Lean.Elab.Term.getMVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L399-L399","name":"Lean.Elab.Term.getMVarDecl","line":399,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getMVarDecl","doc":"Return the declaration of the given metavariable "},"Lean.Elab.Term.getLevelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L308-L309","name":"Lean.Elab.Term.getLevelNames","line":308,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLevelNames","doc":"Return the universe level names explicitly provided by the user.\n"},"Lean.Elab.Term.getLetRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L397-L397","name":"Lean.Elab.Term.getLetRecsToLift","line":397,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getLetRecsToLift","doc":"Return the list of nested `let rec` declarations that need to be lifted. "},"Lean.Elab.Term.getFVarLocalDecl!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L315-L318","name":"Lean.Elab.Term.getFVarLocalDecl!","line":315,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getFVarLocalDecl!","doc":"Given a free variable `fvar`, return its declaration.\nThis function panics if `fvar` is not a free variable.\n"},"Lean.Elab.Term.getDeclName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L395-L395","name":"Lean.Elab.Term.getDeclName?","line":395,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.getDeclName?","doc":"Return the name of the declaration being elaborated if available. "},"Lean.Elab.Term.getCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L78-L83","name":"Lean.Elab.Term.getCalcSteps","line":78,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcSteps","doc":""},"Lean.Elab.Term.getCalcRelation?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L15-L19","name":"Lean.Elab.Term.getCalcRelation?","line":15,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcRelation?","doc":"Decompose `e` into `(r, a, b)`.\n\nRemark: it assumes the last two arguments are explicit. "},"Lean.Elab.Term.getCalcFirstStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L70-L76","name":"Lean.Elab.Term.getCalcFirstStep","line":70,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.getCalcFirstStep","doc":""},"Lean.Elab.Term.exprToSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1704-L1709","name":"Lean.Elab.Term.exprToSyntax","line":1704,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exprToSyntax","doc":"Helper function for \"embedding\" an `Expr` in `Syntax`.\nIt creates a named hole `?m` and immediately assigns `e` to it.\nExamples:\n```lean\nlet e := mkConst ``Nat.zero\n`(Nat.succ $(← exprToSyntax e))\n```\n"},"Lean.Elab.Term.expandWhereDeclsOpt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L458-L462","name":"Lean.Elab.Term.expandWhereDeclsOpt","line":458,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDeclsOpt","doc":""},"Lean.Elab.Term.expandWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L453-L456","name":"Lean.Elab.Term.expandWhereDecls","line":453,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandWhereDecls","doc":""},"Lean.Elab.Term.expandUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L172-L173","name":"Lean.Elab.Term.expandUnreachable","line":172,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandUnreachable","doc":""},"Lean.Elab.Term.expandTypeAscription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L278-L283","name":"Lean.Elab.Term.expandTypeAscription","line":278,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTypeAscription","doc":""},"Lean.Elab.Term.expandTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L271-L276","name":"Lean.Elab.Term.expandTuple","line":271,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandTuple","doc":""},"Lean.Elab.Term.expandTermUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1701-L1701","name":"Lean.Elab.Term.expandTermUnless","line":1701,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermUnless","doc":""},"Lean.Elab.Term.expandTermTry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1698-L1698","name":"Lean.Elab.Term.expandTermTry","line":1698,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermTry","doc":""},"Lean.Elab.Term.expandTermReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1704-L1704","name":"Lean.Elab.Term.expandTermReturn","line":1704,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermReturn","doc":""},"Lean.Elab.Term.expandTermFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1695-L1695","name":"Lean.Elab.Term.expandTermFor","line":1695,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.expandTermFor","doc":""},"Lean.Elab.Term.expandSuffices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L118-L125","name":"Lean.Elab.Term.expandSuffices","line":118,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandSuffices","doc":""},"Lean.Elab.Term.expandSimpleBinderWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L251-L255","name":"Lean.Elab.Term.expandSimpleBinderWithType","line":251,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandSimpleBinderWithType","doc":"If `binder` is a `_` or an identifier, return a `bracketedBinder` using `type` otherwise throw an exception. "},"Lean.Elab.Term.expandShow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L65-L68","name":"Lean.Elab.Term.expandShow","line":65,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandShow","doc":""},"Lean.Elab.Term.expandParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L267-L269","name":"Lean.Elab.Term.expandParen","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandParen","doc":""},"Lean.Elab.Term.expandOptType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L16-L20","name":"Lean.Elab.Term.expandOptType","line":16,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandOptType","doc":"Recall that\n```\ndef typeSpec := leading_parser \" : \" >> termParser\ndef optType : Parser := optional typeSpec\n```\n"},"Lean.Elab.Term.expandOptPrecedence":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L14-L18","name":"Lean.Elab.Term.expandOptPrecedence","line":14,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.expandOptPrecedence","doc":"Expand `optional «precedence»` where\n«precedence» := leading_parser \" : \" >> precedenceParser "},"Lean.Elab.Term.expandMatchAltsWhereDecls.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L574-L585","name":"Lean.Elab.Term.expandMatchAltsWhereDecls.loop","line":574,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls.loop","doc":""},"Lean.Elab.Term.expandMatchAltsWhereDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L571-L586","name":"Lean.Elab.Term.expandMatchAltsWhereDecls","line":571,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsWhereDecls","doc":"Similar to `expandMatchAltsIntoMatch`, but supports an optional `where` clause.\n\nExpand `matchAltsWhereDecls` into `let rec` + `match`-expression.\nExample\n```\n| 0, true => ... f 0 ...\n| i, _ => ... f i + g i ...\nwhere\n f x := g x + 1\n\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n```\nexpands into\n```\nfux x_1 x_2 =>\n let rec\n f x := g x + 1,\n g : Nat → Nat\n | 0 => 1\n | x+1 => f x\n match x_1, x_2 with\n | 0, true => ... f 0 ...\n | i, _ => ... f i + g i ...\n```\n"},"Lean.Elab.Term.expandMatchAltsIntoMatchTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L540-L541","name":"Lean.Elab.Term.expandMatchAltsIntoMatchTactic","line":540,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatchTactic","doc":""},"Lean.Elab.Term.expandMatchAltsIntoMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L537-L538","name":"Lean.Elab.Term.expandMatchAltsIntoMatch","line":537,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandMatchAltsIntoMatch","doc":"Expand `matchAlts` syntax into a full `match`-expression.\nExample:\n```\n| 0, true => alt_1\n| i, _ => alt_2\n```\nexpands into (for tactic == false)\n```\nfun x_1 x_2 =>\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\nand (for tactic == true)\n```\nintro x_1; intro x_2;\nmatch @x_1, @x_2 with\n| 0, true => alt_1\n| i, _ => alt_2\n```\n\nIf `useExplicit = true`, we add a `@` before `fun` to disable implicit lambdas. We disable them when processing `let` and `let rec` declarations\nto make sure the behavior is consistent with top-level declarations where we can write\n```\ndef f : {α : Type} → α → α\n | _, a => a\n```\nWe use `useExplicit = false` when we are elaborating the `fun | ... => ... | ...` notation. See issue #1132.\nIf `@fun` is used with this notation, the we set `useExplicit = true`.\nWe also use `useExplicit = false` when processing `instance ... where` notation declarations. The motivation is to have compact declarations such as\n```\ninstance [Alternative m] : MonadLiftT Option m where\nmonadLift -- We don't want to provide the implicit arguments of `monadLift` here. One should use `monadLift := @fun ...` if they want to provide them.\n | some a => pure a\n | none => failure\n```\n\nRemark: we add `@` at discriminants to make sure we don't consume implicit arguments, and to make the behavior consistent with `fun`.\nExample:\n```\ninductive T : Type 1 :=\n| mkT : (forall {a : Type}, a -> a) -> T\n\ndef makeT (f : forall {a : Type}, a -> a) : T :=\n mkT f\n\ndef makeT' : (forall {a : Type}, a -> a) -> T\n| f => mkT f\n```\nThe two definitions should be elaborated without errors and be equivalent.\n"},"Lean.Elab.Term.expandMatchAlts?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L46-L54","name":"Lean.Elab.Term.expandMatchAlts?","line":46,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlts?","doc":""},"Lean.Elab.Term.expandMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L33-L40","name":"Lean.Elab.Term.expandMatchAlt","line":33,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.expandMatchAlt","doc":"Expand a match alternative such as `| 0 | 1 => rhs` to an array containing `| 0 => rhs` and `| 1 => rhs`.\n"},"Lean.Elab.Term.expandMacrosInPatterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L133-L136","name":"Lean.Elab.Term.expandMacrosInPatterns","line":133,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.expandMacrosInPatterns","doc":""},"Lean.Elab.Term.expandLetEqnsDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L703-L707","name":"Lean.Elab.Term.expandLetEqnsDecl","line":703,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandLetEqnsDecl","doc":""},"Lean.Elab.Term.expandHave":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L105-L116","name":"Lean.Elab.Term.expandHave","line":105,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandHave","doc":""},"Lean.Elab.Term.expandFunBinders.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L342-L380","name":"Lean.Elab.Term.expandFunBinders.loop","line":342,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders.loop","doc":""},"Lean.Elab.Term.expandFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L341-L381","name":"Lean.Elab.Term.expandFunBinders","line":341,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFunBinders","doc":"Auxiliary function for expanding `fun` notation binders. Recall that `fun` parser is defined as\n```\ndef funBinder : Parser := implicitBinder <|> instBinder <|> termParser maxPrec\nleading_parser unicodeSymbol \"λ\" \"fun\" >> many1 funBinder >> \"=>\" >> termParser\n```\nto allow notation such as `fun (a, b) => a + b`, where `(a, b)` should be treated as a pattern.\nThe result is a pair `(explicitBinders, newBody)`, where `explicitBinders` is syntax of the form\n```\n`(` ident `:` term `)`\n```\nwhich can be elaborated using `elabBinders`, and `newBody` is the updated `body` syntax.\nWe update the `body` syntax when expanding the pattern notation.\nExample: `fun (a, b) => a + b` expands into `fun _a_1 => match _a_1 with | (a, b) => a + b`.\nSee local function `processAsPattern` at `expandFunBindersAux`.\n\nThe resulting `Bool` is true if a pattern was found. We use it \"mark\" a macro expansion. "},"Lean.Elab.Term.expandFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L588-L599","name":"Lean.Elab.Term.expandFun","line":588,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandFun","doc":""},"Lean.Elab.Term.expandForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L257-L261","name":"Lean.Elab.Term.expandForall","line":257,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandForall","doc":""},"Lean.Elab.Term.expandExplicitFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L601-L604","name":"Lean.Elab.Term.expandExplicitFun","line":601,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.expandExplicitFun","doc":""},"Lean.Elab.Term.expandDeclId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1689-L1693","name":"Lean.Elab.Term.expandDeclId","line":1689,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.expandDeclId","doc":""},"Lean.Elab.Term.expandDbgTrace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L183-L186","name":"Lean.Elab.Term.expandDbgTrace","line":183,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandDbgTrace","doc":""},"Lean.Elab.Term.expandCDot?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L230-L240","name":"Lean.Elab.Term.expandCDot?.go","line":230,"kind":"opaque","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?.go","doc":"Auxiliary function for expanding the `·` notation.\nThe extra state `Array Syntax` contains the new binder names.\nIf `stx` is a `·`, we create a fresh identifier, store in the\nextra state, and return it. Otherwise, we just return `stx`. "},"Lean.Elab.Term.expandCDot?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L218-L240","name":"Lean.Elab.Term.expandCDot?","line":218,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandCDot?","doc":"Return `some` if succeeded expanding `·` notation occurring in\nthe given syntax. Otherwise, return `none`.\nExamples:\n- `· + 1` => `fun _a_1 => _a_1 + 1`\n- `f · · b` => `fun _a_1 _a_2 => f _a_1 _a_2 b` "},"Lean.Elab.Term.expandAssert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L175-L181","name":"Lean.Elab.Term.expandAssert","line":175,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.expandAssert","doc":""},"Lean.Elab.Term.expandArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L33-L52","name":"Lean.Elab.Term.expandArgs","line":33,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandArgs","doc":""},"Lean.Elab.Term.expandApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L54-L56","name":"Lean.Elab.Term.expandApp","line":54,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.expandApp","doc":""},"Lean.Elab.Term.exceptionToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L803-L806","name":"Lean.Elab.Term.exceptionToSorry","line":803,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.exceptionToSorry","doc":"Log the given exception, and create a synthetic sorry for representing the failed\nelaboration step with exception `ex`.\n"},"Lean.Elab.Term.evalTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Eval.lean#L12-L17","name":"Lean.Elab.Term.evalTerm","line":12,"kind":"def","docLink":"./Lean/Elab/Eval.html#Lean.Elab.Term.evalTerm","doc":""},"Lean.Elab.Term.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L69-L70","name":"Lean.Elab.Term.eraseNamedArg","line":69,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.eraseNamedArg","doc":"Erase entry for `binderName` from `namedArgs`. "},"Lean.Elab.Term.ensureUnaryOutput":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L46-L51","name":"Lean.Elab.Term.ensureUnaryOutput","line":46,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ensureUnaryOutput","doc":""},"Lean.Elab.Term.ensureType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1450-L1463","name":"Lean.Elab.Term.ensureType","line":1450,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureType","doc":"Make sure `e` is a type by inferring its type and making sure it is an `Expr.sort`\nor is unifiable with `Expr.sort`, or can be coerced into one. "},"Lean.Elab.Term.ensureNoUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L568-L571","name":"Lean.Elab.Term.ensureNoUnassignedMVars","line":568,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureNoUnassignedMVars","doc":"Ensure metavariables registered using `registerMVarErrorInfos` (and used in the given declaration) have been assigned. "},"Lean.Elab.Term.ensureHasType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L781-L787","name":"Lean.Elab.Term.ensureHasType","line":781,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ensureHasType","doc":"If `expectedType?` is `some t`, then ensure `t` and `eType` are definitionally equal.\nIf they are not, then try coercions.\n\nArgument `f?` is used only for generating error messages. 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`useLetExpr` is true, then a kernel let-expression `let x : type := val; body` is created.\nOtherwise, we create a term of the form `(fun (x : type) => body) val`\n\nThe default elaboration order is `binders`, `typeStx`, `valStx`, and `body`.\nIf `elabBodyFirst == true`, then we use the order `binders`, `typeStx`, `body`, and `valStx`. "},"Lean.Elab.Term.elabLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L744-L745","name":"Lean.Elab.Term.elabLetDecl","line":744,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabLetDecl","doc":""},"Lean.Elab.Term.elabLeadingParserMacro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L143-L147","name":"Lean.Elab.Term.elabLeadingParserMacro","line":143,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabLeadingParserMacro","doc":""},"Lean.Elab.Term.elabIncludeStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L319-L328","name":"Lean.Elab.Term.elabIncludeStr","line":319,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabIncludeStr","doc":""},"Lean.Elab.Term.elabInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L155-L157","name":"Lean.Elab.Term.elabInaccessible","line":155,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.elabInaccessible","doc":""},"Lean.Elab.Term.elabIdent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1473-L1473","name":"Lean.Elab.Term.elabIdent","line":1473,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabIdent","doc":""},"Lean.Elab.Term.elabHole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L57-L61","name":"Lean.Elab.Term.elabHole","line":57,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabHole","doc":""},"Lean.Elab.Term.elabFunBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L443-L451","name":"Lean.Elab.Term.elabFunBinders","line":443,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFunBinders","doc":""},"Lean.Elab.Term.elabFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L618-L631","name":"Lean.Elab.Term.elabFun","line":618,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabFun","doc":""},"Lean.Elab.Term.elabForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L263-L269","name":"Lean.Elab.Term.elabForall","line":263,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabForall","doc":""},"Lean.Elab.Term.elabForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L51-L77","name":"Lean.Elab.Term.elabForIn'","line":51,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn'","doc":""},"Lean.Elab.Term.elabForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L25-L49","name":"Lean.Elab.Term.elabForIn","line":25,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.elabForIn","doc":""},"Lean.Elab.Term.elabExplicitUnivs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1253-L1254","name":"Lean.Elab.Term.elabExplicitUnivs","line":1253,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUnivs","doc":""},"Lean.Elab.Term.elabExplicitUniv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1476-L1476","name":"Lean.Elab.Term.elabExplicitUniv","line":1476,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicitUniv","doc":""},"Lean.Elab.Term.elabExplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1484-L1490","name":"Lean.Elab.Term.elabExplicit","line":1484,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabExplicit","doc":""},"Lean.Elab.Term.elabEnsureTypeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L258-L265","name":"Lean.Elab.Term.elabEnsureTypeOf","line":258,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureTypeOf","doc":""},"Lean.Elab.Term.elabEnsureExpectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L267-L270","name":"Lean.Elab.Term.elabEnsureExpectedType","line":267,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabEnsureExpectedType","doc":""},"Lean.Elab.Term.elabDoubleQuotedName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c5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dependent arrow. `(x : α) → β` is equivalent to `∀ x : α, β`, but we usually\nreserve the latter for propositions. Also written as `Π x : α, β` (the \"Pi-type\")\nin the literature. "},"Lean.Elab.Term.elabDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L216-L219","name":"Lean.Elab.Term.elabDeclName","line":216,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabDeclName","doc":""},"Lean.Elab.Term.elabCompletion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L40-L55","name":"Lean.Elab.Term.elabCompletion","line":40,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCompletion","doc":""},"Lean.Elab.Term.elabCoe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L14-L20","name":"Lean.Elab.Term.elabCoe","line":14,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCoe","doc":""},"Lean.Elab.Term.elabClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L272-L290","name":"Lean.Elab.Term.elabClear","line":272,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabClear","doc":""},"Lean.Elab.Term.elabChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1492-L1492","name":"Lean.Elab.Term.elabChoice","line":1492,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabChoice","doc":""},"Lean.Elab.Term.elabCharLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L203-L206","name":"Lean.Elab.Term.elabCharLit","line":203,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabCharLit","doc":""},"Lean.Elab.Term.elabCalcSteps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L85-L108","name":"Lean.Elab.Term.elabCalcSteps","line":85,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalcSteps","doc":""},"Lean.Elab.Term.elabCalc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L112-L117","name":"Lean.Elab.Term.elabCalc","line":112,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.elabCalc","doc":"Elaborator for the `calc` term mode variant. "},"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L262-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","line":262,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?.expandCDotArg?","doc":""},"Lean.Elab.Term.elabCDotFunctionAlias?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L246-L265","name":"Lean.Elab.Term.elabCDotFunctionAlias?","line":246,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabCDotFunctionAlias?","doc":"Helper method for elaborating terms such as `(.+.)` where a constant name is expected.\nThis method is usually used to implement tactics that function names as arguments (e.g., `simp`).\n"},"Lean.Elab.Term.elabByTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L150-L155","name":"Lean.Elab.Term.elabByTactic","line":150,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabByTactic","doc":""},"Lean.Elab.Term.elabBorrowed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L60-L63","name":"Lean.Elab.Term.elabBorrowed","line":60,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabBorrowed","doc":""},"Lean.Elab.Term.elabBindersEx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L227-L232","name":"Lean.Elab.Term.elabBindersEx","line":227,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBindersEx","doc":"Like `elabBinders`, but also pass syntax node per binder.\n`elabBinders(Ex)` automatically adds binder info nodes for the produced fvars, but storing the syntax nodes\nmight be necessary when later adding the same binders back to the local context so that info nodes can\nmanually be added for the new fvars; see `MutualDef` for an example. "},"Lean.Elab.Term.elabBinders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L243-L244","name":"Lean.Elab.Term.elabBinders","line":243,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinders","doc":"Elaborate the given binders (i.e., `Syntax` objects for `bracketedBinder`),\nupdate the local context, set of local instances, reset instance chache (if needed), and then\nexecute `k` with the updated context.\nThe local context will only be included inside `k`.\n\nFor example, suppose you have binders `[(a : α), (b : β a)]`, then the elaborator will\ncreate two new free variables `a` and `b`, push these to the context and pass to `k #[a,b]`.\n"},"Lean.Elab.Term.elabBinder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L247-L248","name":"Lean.Elab.Term.elabBinder","line":247,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabBinder","doc":"Same as `elabBinder` with a single binder."},"Lean.Elab.Term.elabBadCDot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinTerm.lean#L160-L161","name":"Lean.Elab.Term.elabBadCDot","line":160,"kind":"def","docLink":"./Lean/Elab/BuiltinTerm.html#Lean.Elab.Term.elabBadCDot","doc":""},"Lean.Elab.Term.elabAsElim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L682-L697","name":"Lean.Elab.Term.elabAsElim","line":682,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAsElim","doc":""},"Lean.Elab.Term.elabArrow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L278-L285","name":"Lean.Elab.Term.elabArrow","line":278,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.elabArrow","doc":""},"Lean.Elab.Term.elabAppArgs.isFirstOrder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L978-L980","name":"Lean.Elab.Term.elabAppArgs.isFirstOrder","line":978,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.isFirstOrder","doc":""},"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L959-L972","name":"Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","line":959,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.getElabAsElimExtraArgsPos","doc":"Collect extra argument positions that must be elaborated eagerly when using `elab_as_elim`.\nThe idea is that the contribute to motive inference. See comment at `ElamElim.Context.extraArgsPos`.\n"},"Lean.Elab.Term.elabAppArgs.elabAsElim?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L939-L953","name":"Lean.Elab.Term.elabAppArgs.elabAsElim?","line":939,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs.elabAsElim?","doc":"Return `some info` if we should elaborate as an eliminator. "},"Lean.Elab.Term.elabAppArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L907-L980","name":"Lean.Elab.Term.elabAppArgs","line":907,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabAppArgs","doc":"Elaborate a `f`-application using `namedArgs` and `args` as the arguments.\n- `expectedType?` the expected type if available. It is used to propagate typing information only. This method does **not** ensure the result has this type.\n- `explicit = true` when notation `@` is used, and implicit arguments are assumed to be provided at `namedArgs` and `args`.\n- `ellipsis = true` when notation `..` is used. That is, we add `_` for missing arguments.\n- `resultIsOutParamSupport` is used to control whether special support is used when processing applications of functions that return\n output parameter of some local instance. Example:\n ```\n GetElem.getElem : {Cont : Type u_1} → {Idx : Type u_2} → {elem : Type u_3} → {dom : cont → idx → Prop} → [self : GetElem cont idx elem dom] → (xs : cont) → (i : idx) → dom xs i → elem\n ```\n The result type `elem` is the output parameter of the local instance `self`.\n When this parameter is set to `true`, we execute `synthesizeSyntheticMVarsUsingDefault`. For additional details, see comment at\n `ElabAppArgs.resultIsOutParam`.\n"},"Lean.Elab.Term.elabApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1465-L1468","name":"Lean.Elab.Term.elabApp","line":1465,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.elabApp","doc":""},"Lean.Elab.Term.elabAnonymousCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BuiltinNotation.lean#L22-L58","name":"Lean.Elab.Term.elabAnonymousCtor","line":22,"kind":"def","docLink":"./Lean/Elab/BuiltinNotation.html#Lean.Elab.Term.elabAnonymousCtor","doc":""},"Lean.Elab.Term.declareTacticSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L88-L100","name":"Lean.Elab.Term.declareTacticSyntax","line":88,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.declareTacticSyntax","doc":""},"Lean.Elab.Term.containsPendingMVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L702-L705","name":"Lean.Elab.Term.containsPendingMVar","line":702,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.containsPendingMVar","doc":"Return `true` if `e` contains a pending metavariable. Remark: it also visits let-declarations. "},"Lean.Elab.Term.commitIfNoErrors?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1415-L1428","name":"Lean.Elab.Term.commitIfNoErrors?","line":1415,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfNoErrors?","doc":"Execute `x` and return `some` if no new errors were recorded or exceptions were thrown. Otherwise, return `none`. "},"Lean.Elab.Term.commitIfDidNotPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L300-L303","name":"Lean.Elab.Term.commitIfDidNotPostpone","line":300,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.commitIfDidNotPostpone","doc":"Execute `x`, but keep state modifications only if `x` did not postpone.\nThis method is useful to implement elaboration functions that cannot decide whether\nthey need to postpone or not without updating the state. "},"Lean.Elab.Term.collectUnassignedMVars.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1511-L1527","name":"Lean.Elab.Term.collectUnassignedMVars.go","line":1511,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars.go","doc":""},"Lean.Elab.Term.collectUnassignedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1503-L1527","name":"Lean.Elab.Term.collectUnassignedMVars","line":1503,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.collectUnassignedMVars","doc":"Collect unassigned metavariables in `type` that are not already in `init` and not satisfying `except`.\n"},"Lean.Elab.Term.collectPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L325-L327","name":"Lean.Elab.Term.collectPatternVars","line":325,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.collectPatternVars","doc":"Collect pattern variables occurring in the `match`-alternative object views.\nIt also returns the updated views.\n"},"Lean.Elab.Term.clearInMatchAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L57-L62","name":"Lean.Elab.Term.clearInMatchAlt","line":57,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatchAlt","doc":""},"Lean.Elab.Term.clearInMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/BindersUtil.lean#L64-L70","name":"Lean.Elab.Term.clearInMatch","line":64,"kind":"def","docLink":"./Lean/Elab/BindersUtil.html#Lean.Elab.Term.clearInMatch","doc":""},"Lean.Elab.Term.checkLeftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L68-L80","name":"Lean.Elab.Term.checkLeftRec","line":68,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.checkLeftRec","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L744-L753","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","line":744,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visitLevel","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L754-L764","name":"Lean.Elab.Term.checkForHiddenUnivLevels.visit","line":754,"kind":"opaque","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels.visit","doc":""},"Lean.Elab.Term.checkForHiddenUnivLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L730-L767","name":"Lean.Elab.Term.checkForHiddenUnivLevels","line":730,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.checkForHiddenUnivLevels","doc":""},"Lean.Elab.Term.checkBinderAnnotations":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L177-L180","name":"Lean.Elab.Term.checkBinderAnnotations","line":177,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.checkBinderAnnotations","doc":""},"Lean.Elab.Term.blockImplicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1096-L1100","name":"Lean.Elab.Term.blockImplicitLambda","line":1096,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.blockImplicitLambda","doc":"Block usage of implicit lambdas if `stx` is `@f` or `@f arg1 ...` or `fun` with an implicit binder annotation. "},"Lean.Elab.Term.applyResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L291-L294","name":"Lean.Elab.Term.applyResult","line":291,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyResult","doc":"Apply the result/exception and state captured with `observing`.\nWe use this method to implement overloaded notation and symbols. "},"Lean.Elab.Term.applyAttributesAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L635-L636","name":"Lean.Elab.Term.applyAttributesAt","line":635,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributesAt","doc":"Apply given attributes **at** a given application time "},"Lean.Elab.Term.applyAttributes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L638-L639","name":"Lean.Elab.Term.applyAttributes","line":638,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.applyAttributes","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L61-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType.go","line":61,"kind":"opaque","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType.go","doc":""},"Lean.Elab.Term.annotateFirstHoleWithType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Calc.lean#L57-L68","name":"Lean.Elab.Term.annotateFirstHoleWithType","line":57,"kind":"def","docLink":"./Lean/Elab/Calc.html#Lean.Elab.Term.annotateFirstHoleWithType","doc":"Adds a type annotation to a hole that occurs immediately at the beginning of the term.\nThis is so that coercions can trigger when elaborating the term.\nSee https://github.com/leanprover/lean4/issues/2040 for futher rationale.\n\n- `_ < 3` is annotated\n- `(_) < 3` is not, because it occurs after an atom\n- in `_ < _` only the first one is annotated\n- `_ + 2 < 3` is annotated (not the best heuristic, ideally we'd like to annotate `_ + 2`)\n- `lt _ 3` is not, because it occurs after an identifier\n"},"Lean.Elab.Term.addTermInfo'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L961-L962","name":"Lean.Elab.Term.addTermInfo'","line":961,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo'","doc":""},"Lean.Elab.Term.addTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L952-L959","name":"Lean.Elab.Term.addTermInfo","line":952,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addTermInfo","doc":"Pushes a new leaf node to the info tree associating the expression `e` to the syntax `stx`.\nAs a result, when the user hovers over `stx` they will see the type of `e`, and if `e`\nis a constant they will see the constant's doc string.\n\n* `expectedType?`: the expected type of `e` at the point of elaboration, if available\n* `lctx?`: the local context in which to interpret `e` (otherwise it will use `← getLCtx`)\n* `elaborator`: a declaration name used as an alternative target for go-to-definition\n* `isBinder`: if true, this will be treated as defining `e` (which should be a local constant)\n for the purpose of go-to-definition on local variables\n* `force`: In patterns, the effect of `addTermInfo` is usually suppressed and replaced\n by a `patternWithRef?` annotation which will be turned into a term info on the\n post-match-elaboration expression. This flag overrides that behavior and adds the term\n info immediately. (See https://github.com/leanprover/lean4/pull/1664.)\n"},"Lean.Elab.Term.addNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L28-L31","name":"Lean.Elab.Term.addNamedArg","line":28,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.addNamedArg","doc":"Add a new named argument to `namedArgs`, and throw an error if it already contains a named argument\nwith the same name. "},"Lean.Elab.Term.addLocalVarInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L169-L170","name":"Lean.Elab.Term.addLocalVarInfo","line":169,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.addLocalVarInfo","doc":""},"Lean.Elab.Term.addDotCompletionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1387-L1388","name":"Lean.Elab.Term.addDotCompletionInfo","line":1387,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addDotCompletionInfo","doc":"Store in the `InfoTree` that `e` is a \"dot\"-completion target. "},"Lean.Elab.Term.addCategoryInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L57-L60","name":"Lean.Elab.Term.addCategoryInfo","line":57,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addCategoryInfo","doc":"(Try to) add a term info for the category `catName` at `ref`. "},"Lean.Elab.Term.addAutoBoundImplicits.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1542-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits.go","line":1542,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits.go","doc":""},"Lean.Elab.Term.addAutoBoundImplicits'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1562-L1567","name":"Lean.Elab.Term.addAutoBoundImplicits'","line":1562,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits'","doc":"Similar to `autoBoundImplicits`, but immediately if the resulting array of expressions contains metavariables,\nit immediately uses `mkForallFVars` + `forallBoundedTelescope` to convert them into free variables.\nThe type `type` is modified during the process if type depends on `xs`.\nWe use this method to simplify the conversion of code using `autoBoundImplicitsOld` to `autoBoundImplicits`.\n"},"Lean.Elab.Term.addAutoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1538-L1554","name":"Lean.Elab.Term.addAutoBoundImplicits","line":1538,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.addAutoBoundImplicits","doc":"Return `autoBoundImplicits ++ xs`\nThis method throws an error if a variable in `autoBoundImplicits` depends on some `x` in `xs`.\nThe `autoBoundImplicits` may contain free variables created by the auto-implicit feature, and unassigned free variables.\nIt avoids the hack used at `autoBoundImplicitsOld`.\n\nRemark: we cannot simply replace every occurrence of `addAutoBoundImplicitsOld` with this one because a particular\nuse-case may not be able to handle the metavariables in the array being given to `k`.\n"},"Lean.Elab.Term.addAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L63-L66","name":"Lean.Elab.Term.addAliasInfo","line":63,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.addAliasInfo","doc":"(Try to) add a term info for the alias with info `info` at `ref`. "},"Lean.Elab.Term.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1431-L1433","name":"Lean.Elab.Term.adaptExpander","line":1431,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.adaptExpander","doc":"Adapt a syntax transformation to a regular, term-producing elaborator. "},"Lean.Elab.Term.UseImplicitLambdaResult.yes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1264-L1264","name":"Lean.Elab.Term.UseImplicitLambdaResult.yes","line":1264,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.yes","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.postpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1265-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult.postpone","line":1265,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.postpone","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult.no":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1263-L1263","name":"Lean.Elab.Term.UseImplicitLambdaResult.no","line":1263,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult.no","doc":""},"Lean.Elab.Term.UseImplicitLambdaResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1262-L1265","name":"Lean.Elab.Term.UseImplicitLambdaResult","line":1262,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.UseImplicitLambdaResult","doc":""},"Lean.Elab.Term.ToParserDescrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L39-L39","name":"Lean.Elab.Term.ToParserDescrM","line":39,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrM","doc":""},"Lean.Elab.Term.ToParserDescrContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L1-L1","name":"Lean.Elab.Term.ToParserDescrContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.mk","doc":""},"Lean.Elab.Term.ToParserDescrContext.leftRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L35-L35","name":"Lean.Elab.Term.ToParserDescrContext.leftRec","line":35,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.leftRec","doc":""},"Lean.Elab.Term.ToParserDescrContext.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L34-L34","name":"Lean.Elab.Term.ToParserDescrContext.first","line":34,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.first","doc":""},"Lean.Elab.Term.ToParserDescrContext.catName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L33-L33","name":"Lean.Elab.Term.ToParserDescrContext.catName","line":33,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.catName","doc":""},"Lean.Elab.Term.ToParserDescrContext.behavior":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L37-L37","name":"Lean.Elab.Term.ToParserDescrContext.behavior","line":37,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext.behavior","doc":"See comment at `Parser.ParserCategory`. "},"Lean.Elab.Term.ToParserDescrContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L32-L37","name":"Lean.Elab.Term.ToParserDescrContext","line":32,"kind":"structure","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescrContext","doc":""},"Lean.Elab.Term.ToParserDescr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L40-L40","name":"Lean.Elab.Term.ToParserDescr","line":40,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Term.ToParserDescr","doc":""},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L635-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","line":635,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo.go","doc":"The `Bool` context is true iff we are inside of an \"inaccessible\" pattern. "},"Lean.Elab.Term.ToDepElimPattern.savePatternInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L631-L651","name":"Lean.Elab.Term.ToDepElimPattern.savePatternInfo","line":631,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.savePatternInfo","doc":"Save pattern information in the info tree, and remove `patternWithRef?` annotations.\n"},"Lean.Elab.Term.ToDepElimPattern.normalize.processVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L512-L520","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processVar","line":512,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L522-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","line":522,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.processInaccessible","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize.addVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L507-L510","name":"Lean.Elab.Term.ToDepElimPattern.normalize.addVar","line":507,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize.addVar","doc":""},"Lean.Elab.Term.ToDepElimPattern.normalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L455-L540","name":"Lean.Elab.Term.ToDepElimPattern.normalize","line":455,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.normalize","doc":"Normalize the pattern and collect all patterns variables (explicit and implicit).\nThis method is the one that decides where the inaccessible annotations must be inserted.\nThe pattern variables are both free variables (for explicit pattern variables) and metavariables (for implicit ones).\nRecall that `mkLambdaFVars` now allows us to abstract both free variables and metavariables.\n"},"Lean.Elab.Term.ToDepElimPattern.main.unpack.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L706-L715","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack.go","line":706,"kind":"opaque","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack.go","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.unpack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L705-L716","name":"Lean.Elab.Term.ToDepElimPattern.main.unpack","line":705,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.unpack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main.pack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L681-L703","name":"Lean.Elab.Term.ToDepElimPattern.main.pack","line":681,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main.pack","doc":""},"Lean.Elab.Term.ToDepElimPattern.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L662-L716","name":"Lean.Elab.Term.ToDepElimPattern.main","line":662,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.main","doc":"Main method for `withDepElimPatterns`.\n- `PatternVarDecls`: are the explicit pattern variables provided by the user.\n- `ps`: are the patterns provided by the user.\n- `matchType`: the expected typ for this branch. It depends on the explicit pattern variables and the implicit ones that are still represented as metavariables,\n and are found by this function.\n- `k` is the continuation that is executed in an updated local context with the all pattern variables (explicit and implicit). Note that, `patternVarDecls` are all\n replaced since they may depend on implicit pattern variables (i.e., metavariables) that are converted into new free variables by this method.\n"},"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L381-L385","name":"Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","line":381,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.isExplicitPatternVar","doc":"Return true iff `e` is an explicit pattern variable provided by the user. "},"Lean.Elab.Term.ToDepElimPattern.TopSortM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L591-L591","name":"Lean.Elab.Term.ToDepElimPattern.TopSortM","line":591,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSortM","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L588-L588","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","line":588,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedMVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L587-L587","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","line":587,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.visitedFVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L589-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","line":589,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.result","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.TopSort.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L586-L589","name":"Lean.Elab.Term.ToDepElimPattern.TopSort.State","line":586,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.TopSort.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.patternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L364-L364","name":"Lean.Elab.Term.ToDepElimPattern.State.patternVars","line":364,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.patternVars","doc":""},"Lean.Elab.Term.ToDepElimPattern.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L363-L364","name":"Lean.Elab.Term.ToDepElimPattern.State","line":363,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.State","doc":""},"Lean.Elab.Term.ToDepElimPattern.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L378-L378","name":"Lean.Elab.Term.ToDepElimPattern.M","line":378,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.M","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.userName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L370-L370","name":"Lean.Elab.Term.ToDepElimPattern.Context.userName","line":370,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.userName","doc":"When visiting an assigned metavariable, if it has an user-name. We save it here.\nWe want to preserve these user-names when generating new pattern variables. "},"Lean.Elab.Term.ToDepElimPattern.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ToDepElimPattern.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.mk","doc":""},"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L376-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","line":376,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context.explicitPatternVars","doc":"Pattern variables that were explicitly provided by the user.\nRecall that implicit parameters and `_` are elaborated as metavariables, and then converted into pattern variables\nby the `normalize` procedure.\n"},"Lean.Elab.Term.ToDepElimPattern.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L366-L376","name":"Lean.Elab.Term.ToDepElimPattern.Context","line":366,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ToDepElimPattern.Context","doc":""},"Lean.Elab.Term.TermElabResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L262-L262","name":"Lean.Elab.Term.TermElabResult","line":262,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabResult","doc":""},"Lean.Elab.Term.TermElabM.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1666-L1671","name":"Lean.Elab.Term.TermElabM.toIO","line":1666,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.toIO","doc":""},"Lean.Elab.Term.TermElabM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1663-L1664","name":"Lean.Elab.Term.TermElabM.run'","line":1663,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run'","doc":""},"Lean.Elab.Term.TermElabM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1660-L1661","name":"Lean.Elab.Term.TermElabM.run","line":1660,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM.run","doc":""},"Lean.Elab.Term.TermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L221-L221","name":"Lean.Elab.Term.TermElabM","line":221,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElabM","doc":""},"Lean.Elab.Term.TermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L222-L222","name":"Lean.Elab.Term.TermElab","line":222,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.TermElab","doc":""},"Lean.Elab.Term.SyntheticMVarKind.typeClass":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L29-L30","name":"Lean.Elab.Term.SyntheticMVarKind.typeClass","line":29,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.typeClass","doc":"Use typeclass resolution to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L36-L37","name":"Lean.Elab.Term.SyntheticMVarKind.tactic","line":36,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.tactic","doc":"Use tactic to synthesize value for metavariable. "},"Lean.Elab.Term.SyntheticMVarKind.postponed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L38-L39","name":"Lean.Elab.Term.SyntheticMVarKind.postponed","line":38,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.SyntheticMVarKind.postponed","doc":"Metavariable represents a hole whose elaboration has been postponed. 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the following example:\n```\nstructure A where\n x : Nat := 1\n\nstructure B extends A where\n y : Nat := x + 1\n x := y + 1\n\nstructure C extends B where\n z : Nat := 2*y\n x := z + 3\n```\nAnd we are trying to elaborate a structure instance for `C`. There are default values for `x` at `A`, `B`, and `C`.\nWe say the default value at `C` has distance 0, the one at `B` distance 1, and the one at `A` distance 2.\nThe field `maxDistance` specifies the maximum distance considered in a round of Default field computation.\nRemark: since `C` does not set a default value of `y`, the default value at `B` is at distance 0.\n\nThe fixpoint for setting default values works in the following way.\n- Keep computing default values using `maxDistance == 0`.\n- We increase `maxDistance` whenever we failed to compute a new default value in a round.\n- If `maxDistance > 0`, then we interrupt a round as soon as we compute some default value.\n We use depth-first search.\n- We sign an error if no progress is made when `maxDistance` == structure hierarchy depth (2 in the example above).\n"},"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L652-L652","name":"Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","line":652,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context.allStructNames","doc":""},"Lean.Elab.Term.StructInst.DefaultFields.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L649-L679","name":"Lean.Elab.Term.StructInst.DefaultFields.Context","line":649,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.DefaultFields.Context","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L537-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.params","line":537,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.params","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L1-L1","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.mk","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L536-L536","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","line":536,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.instMVars","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L535-L535","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","line":535,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFnType","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L534-L534","name":"Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","line":534,"kind":"def","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult.ctorFn","doc":""},"Lean.Elab.Term.StructInst.CtorHeaderResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/StructInst.lean#L533-L537","name":"Lean.Elab.Term.StructInst.CtorHeaderResult","line":533,"kind":"structure","docLink":"./Lean/Elab/StructInst.html#Lean.Elab.Term.StructInst.CtorHeaderResult","doc":""},"Lean.Elab.Term.State.syntheticMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L105-L105","name":"Lean.Elab.Term.State.syntheticMVars","line":105,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.syntheticMVars","doc":""},"Lean.Elab.Term.State.pendingMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L106-L106","name":"Lean.Elab.Term.State.pendingMVars","line":106,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.pendingMVars","doc":""},"Lean.Elab.Term.State.mvarErrorInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L107-L107","name":"Lean.Elab.Term.State.mvarErrorInfos","line":107,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mvarErrorInfos","doc":""},"Lean.Elab.Term.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.mk","doc":""},"Lean.Elab.Term.State.levelNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L104-L104","name":"Lean.Elab.Term.State.levelNames","line":104,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.levelNames","doc":""},"Lean.Elab.Term.State.letRecsToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L108-L108","name":"Lean.Elab.Term.State.letRecsToLift","line":108,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.State.letRecsToLift","doc":""},"Lean.Elab.Term.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/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state for the `TermElabM` 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present.\n"},"Lean.Elab.Term.Quotation.elabPrecheckedQuot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L139-L142","name":"Lean.Elab.Term.Quotation.elabPrecheckedQuot","line":139,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.elabPrecheckedQuot","doc":""},"Lean.Elab.Term.Quotation.elabNoErrorIfUnused":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L680-L683","name":"Lean.Elab.Term.Quotation.elabNoErrorIfUnused","line":680,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabNoErrorIfUnused","doc":""},"Lean.Elab.Term.Quotation.elabMatchSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L677-L678","name":"Lean.Elab.Term.Quotation.elabMatchSyntax","line":677,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.elabMatchSyntax","doc":""},"Lean.Elab.Term.Quotation.commandElab_stx_quot_":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L261-L262","name":"Lean.Elab.Term.Quotation.commandElab_stx_quot_","line":261,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.commandElab_stx_quot_","doc":""},"Lean.Elab.Term.Quotation.addNamedQuotInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L208-L216","name":"Lean.Elab.Term.Quotation.addNamedQuotInfo","line":208,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.addNamedQuotInfo","doc":""},"Lean.Elab.Term.Quotation.PrecheckM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L19-L19","name":"Lean.Elab.Term.Quotation.PrecheckM","line":19,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.PrecheckM","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L17-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","line":17,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.quotLCtx","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L1-L1","name":"Lean.Elab.Term.Quotation.Precheck.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context.mk","doc":""},"Lean.Elab.Term.Quotation.Precheck.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L16-L17","name":"Lean.Elab.Term.Quotation.Precheck.Context","line":16,"kind":"structure","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck.Context","doc":""},"Lean.Elab.Term.Quotation.Precheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation/Precheck.lean#L20-L20","name":"Lean.Elab.Term.Quotation.Precheck","line":20,"kind":"def","docLink":"./Lean/Elab/Quotation/Precheck.html#Lean.Elab.Term.Quotation.Precheck","doc":""},"Lean.Elab.Term.Quotation.MatchResult.undecided":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L307-L308","name":"Lean.Elab.Term.Quotation.MatchResult.undecided","line":307,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult.undecided","doc":"Pattern 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"},"Lean.Elab.Term.Quotation.MatchResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L301-L308","name":"Lean.Elab.Term.Quotation.MatchResult","line":301,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.MatchResult","doc":"Describe whether a pattern is covered by a head check (induced by the pattern itself or a different pattern). "},"Lean.Elab.Term.Quotation.IdxSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L595-L595","name":"Lean.Elab.Term.Quotation.IdxSet","line":595,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.IdxSet","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.onMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L323-L323","name":"Lean.Elab.Term.Quotation.HeadInfo.onMatch","line":323,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.onMatch","doc":"compute compatibility of pattern with given head check "},"Lean.Elab.Term.Quotation.HeadInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L1-L1","name":"Lean.Elab.Term.Quotation.HeadInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.mk","doc":""},"Lean.Elab.Term.Quotation.HeadInfo.doMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L325-L325","name":"Lean.Elab.Term.Quotation.HeadInfo.doMatch","line":325,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.doMatch","doc":"actually run the specified head check, with the discriminant bound to `__discr` "},"Lean.Elab.Term.Quotation.HeadInfo.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L321-L321","name":"Lean.Elab.Term.Quotation.HeadInfo.check","line":321,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo.check","doc":"check induced by the pattern "},"Lean.Elab.Term.Quotation.HeadInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L319-L325","name":"Lean.Elab.Term.Quotation.HeadInfo","line":319,"kind":"structure","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadInfo","doc":"All necessary information on a pattern head. "},"Lean.Elab.Term.Quotation.HeadCheck.unconditional":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L280-L281","name":"Lean.Elab.Term.Quotation.HeadCheck.unconditional","line":280,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.unconditional","doc":"match step that always succeeds: _, x, `($x), ... "},"Lean.Elab.Term.Quotation.HeadCheck.slice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L290-L293","name":"Lean.Elab.Term.Quotation.HeadCheck.slice","line":290,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.slice","doc":"Match step that succeeds on `null` nodes of arity at least `numPrefix + numSuffix`, introducing discriminants\nfor the first `numPrefix` children, one `null` node for those in between, and for the `numSuffix` last children.\nexample: `([$x, $xs,*, $y]) is `slice 2 2` "},"Lean.Elab.Term.Quotation.HeadCheck.shape":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L282-L289","name":"Lean.Elab.Term.Quotation.HeadCheck.shape","line":282,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.shape","doc":"match step based on kind and, optionally, arity of discriminant\nIf `arity` is given, that number of new discriminants is introduced. `covered` patterns should then introduce the\nsame number of new patterns.\nWe actually check the arity at run time only in the case of `null` nodes since it should otherwise by implied by\nthe node kind.\nwithout arity: `($x:k)\nwith arity: any quotation without an antiquotation head pattern "},"Lean.Elab.Term.Quotation.HeadCheck.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L294-L296","name":"Lean.Elab.Term.Quotation.HeadCheck.other","line":294,"kind":"ctor","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck.other","doc":"other, complicated match step that will probably only cover identical patterns\nexample: antiquotation splices `($[...]*) "},"Lean.Elab.Term.Quotation.HeadCheck":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L279-L296","name":"Lean.Elab.Term.Quotation.HeadCheck","line":279,"kind":"inductive","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.HeadCheck","doc":"In a single match step, we match the first discriminant against the \"head\" of the first pattern of the first\nalternative. This datatype describes what kind of check this involves, which helps other patterns decide if\nthey are covered by the same check and don't have to be checked again (see also `MatchResult`). "},"Lean.Elab.Term.Quotation.ArrayStxBuilder.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L87-L90","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.push","line":87,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.push","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L95-L106","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","line":95,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.mkNode","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L81-L81","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","line":81,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.empty","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.build":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L83-L85","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.build","line":83,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.build","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L92-L93","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder.append","line":92,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder.append","doc":""},"Lean.Elab.Term.Quotation.ArrayStxBuilder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Quotation.lean#L77-L77","name":"Lean.Elab.Term.Quotation.ArrayStxBuilder","line":77,"kind":"def","docLink":"./Lean/Elab/Quotation.html#Lean.Elab.Term.Quotation.ArrayStxBuilder","doc":"Transform sequence of pushes and appends into acceptable code "},"Lean.Elab.Term.PatternVarDecl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.PatternVarDecl.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternVarDecl.mk","doc":""},"Lean.Elab.Term.PatternVarDecl.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L172-L172","name":"Lean.Elab.Term.PatternVarDecl.fvarId","line":172,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternVarDecl.fvarId","doc":""},"Lean.Elab.Term.PatternVarDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L171-L172","name":"Lean.Elab.Term.PatternVarDecl","line":171,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternVarDecl","doc":"We convert the collected `PatternVar`s intro `PatternVarDecl` "},"Lean.Elab.Term.PatternVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L14-L14","name":"Lean.Elab.Term.PatternVar","line":14,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.PatternVar","doc":""},"Lean.Elab.Term.PatternElabException.patternIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L211-L211","name":"Lean.Elab.Term.PatternElabException.patternIdx","line":211,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.patternIdx","doc":""},"Lean.Elab.Term.PatternElabException.pathToIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L212-L212","name":"Lean.Elab.Term.PatternElabException.pathToIndex","line":212,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.pathToIndex","doc":""},"Lean.Elab.Term.PatternElabException.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.PatternElabException.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.mk","doc":""},"Lean.Elab.Term.PatternElabException.ex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L210-L210","name":"Lean.Elab.Term.PatternElabException.ex","line":210,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException.ex","doc":""},"Lean.Elab.Term.PatternElabException":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L209-L212","name":"Lean.Elab.Term.PatternElabException","line":209,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.PatternElabException","doc":"Auxiliary structure for storing an type mismatch exception when processing the\npattern #`idx` of some alternative. "},"Lean.Elab.Term.Op.elabUnOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L406-L406","name":"Lean.Elab.Term.Op.elabUnOp","line":406,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabUnOp","doc":""},"Lean.Elab.Term.Op.elabOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L396-L397","name":"Lean.Elab.Term.Op.elabOp","line":396,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabOp","doc":""},"Lean.Elab.Term.Op.elabDefaultOrNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L487-L502","name":"Lean.Elab.Term.Op.elabDefaultOrNonempty","line":487,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabDefaultOrNonempty","doc":""},"Lean.Elab.Term.Op.elabBinRelNoProp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L484-L484","name":"Lean.Elab.Term.Op.elabBinRelNoProp","line":484,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelNoProp","doc":""},"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L475-L480","name":"Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","line":475,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore.toBoolIfNecessary","doc":"If `noProp == true` and `e` has type `Prop`, then coerce it to `Bool`. "},"Lean.Elab.Term.Op.elabBinRelCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L416-L480","name":"Lean.Elab.Term.Op.elabBinRelCore","line":416,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRelCore","doc":"Elaboration functionf for `binrel%` and `binrel_no_prop%` notations.\nWe use the infrastructure for `binop%` to make sure we propagate information between the left and right hand sides\nof a binary relation.\n\nRecall that the `binrel_no_prop%` notation is used for relations such as `==` which do not support `Prop`, but\nwe still want to be able to write `(5 > 2) == (2 > 1)`.\n"},"Lean.Elab.Term.Op.elabBinRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L482-L482","name":"Lean.Elab.Term.Op.elabBinRel","line":482,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinRel","doc":""},"Lean.Elab.Term.Op.elabBinOpLazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L403-L403","name":"Lean.Elab.Term.Op.elabBinOpLazy","line":403,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinOpLazy","doc":""},"Lean.Elab.Term.Op.elabBinOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Extra.lean#L400-L400","name":"Lean.Elab.Term.Op.elabBinOp","line":400,"kind":"def","docLink":"./Lean/Elab/Extra.html#Lean.Elab.Term.Op.elabBinOp","doc":""},"Lean.Elab.Term.NamedArg.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L22-L22","name":"Lean.Elab.Term.NamedArg.val","line":22,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.val","doc":""},"Lean.Elab.Term.NamedArg.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L20-L20","name":"Lean.Elab.Term.NamedArg.ref","line":20,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.ref","doc":""},"Lean.Elab.Term.NamedArg.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L21-L21","name":"Lean.Elab.Term.NamedArg.name","line":21,"kind":"def","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.name","doc":""},"Lean.Elab.Term.NamedArg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L1-L1","name":"Lean.Elab.Term.NamedArg.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg.mk","doc":""},"Lean.Elab.Term.NamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L19-L23","name":"Lean.Elab.Term.NamedArg","line":19,"kind":"structure","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.NamedArg","doc":"Named arguments created using the notation `(x := val)` "},"Lean.Elab.Term.MutualClosure.pushMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L628-L641","name":"Lean.Elab.Term.MutualClosure.pushMain","line":628,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushMain","doc":""},"Lean.Elab.Term.MutualClosure.pushLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L643-L659","name":"Lean.Elab.Term.MutualClosure.pushLetRecs","line":643,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.pushLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L678-L704","name":"Lean.Elab.Term.MutualClosure.main","line":678,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.main","doc":"- `sectionVars`: The section variables used in the `mutual` block.\n- `mainHeaders`: The elaborated header of the top-level definitions being defined by the mutual block.\n- `mainFVars`: The auxiliary variables used to represent the top-level definitions being defined by the mutual block.\n- `mainVals`: The elaborated value for the top-level definitions\n- `letRecsToLift`: The let-rec's definitions that need to be lifted\n"},"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L612-L614","name":"Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","line":612,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForMainFns","doc":""},"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L617-L619","name":"Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","line":617,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.insertReplacementForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L665-L669","name":"Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","line":665,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getModifiersForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.getKindForLetRecs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L661-L663","name":"Lean.Elab.Term.MutualClosure.getKindForLetRecs","line":661,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.getKindForLetRecs","doc":""},"Lean.Elab.Term.MutualClosure.UsedFVarsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/MutualDef.lean#L318-L318","name":"Lean.Elab.Term.MutualClosure.UsedFVarsMap","line":318,"kind":"def","docLink":"./Lean/Elab/MutualDef.html#Lean.Elab.Term.MutualClosure.UsedFVarsMap","doc":"A 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metavariables.\n"},"Lean.Elab.Term.LetRecView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.mk","doc":""},"Lean.Elab.Term.LetRecView.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L26-L26","name":"Lean.Elab.Term.LetRecView.decls","line":26,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.decls","doc":""},"Lean.Elab.Term.LetRecView.body":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L27-L27","name":"Lean.Elab.Term.LetRecView.body","line":27,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView.body","doc":""},"Lean.Elab.Term.LetRecView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L25-L27","name":"Lean.Elab.Term.LetRecView","line":25,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecView","doc":""},"Lean.Elab.Term.LetRecToLift.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L96-L96","name":"Lean.Elab.Term.LetRecToLift.val","line":96,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.val","doc":""},"Lean.Elab.Term.LetRecToLift.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L95-L95","name":"Lean.Elab.Term.LetRecToLift.type","line":95,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.type","doc":""},"Lean.Elab.Term.LetRecToLift.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L91-L91","name":"Lean.Elab.Term.LetRecToLift.shortDeclName","line":91,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.shortDeclName","doc":""},"Lean.Elab.Term.LetRecToLift.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L88-L88","name":"Lean.Elab.Term.LetRecToLift.ref","line":88,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.ref","doc":""},"Lean.Elab.Term.LetRecToLift.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L97-L97","name":"Lean.Elab.Term.LetRecToLift.mvarId","line":97,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mvarId","doc":""},"Lean.Elab.Term.LetRecToLift.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.LetRecToLift.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.mk","doc":""},"Lean.Elab.Term.LetRecToLift.localInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L94-L94","name":"Lean.Elab.Term.LetRecToLift.localInstances","line":94,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.localInstances","doc":""},"Lean.Elab.Term.LetRecToLift.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L93-L93","name":"Lean.Elab.Term.LetRecToLift.lctx","line":93,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.lctx","doc":""},"Lean.Elab.Term.LetRecToLift.fvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L89-L89","name":"Lean.Elab.Term.LetRecToLift.fvarId","line":89,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.fvarId","doc":""},"Lean.Elab.Term.LetRecToLift.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L92-L92","name":"Lean.Elab.Term.LetRecToLift.declName","line":92,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.declName","doc":""},"Lean.Elab.Term.LetRecToLift.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L90-L90","name":"Lean.Elab.Term.LetRecToLift.attrs","line":90,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift.attrs","doc":""},"Lean.Elab.Term.LetRecToLift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L87-L98","name":"Lean.Elab.Term.LetRecToLift","line":87,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LetRecToLift","doc":"Nested `let rec` expressions are eagerly lifted by the elaborator.\nWe store the information necessary for performing the lifting here.\n"},"Lean.Elab.Term.LetRecDeclView.valStx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L23-L23","name":"Lean.Elab.Term.LetRecDeclView.valStx","line":23,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.valStx","doc":""},"Lean.Elab.Term.LetRecDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L21-L21","name":"Lean.Elab.Term.LetRecDeclView.type","line":21,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.type","doc":""},"Lean.Elab.Term.LetRecDeclView.shortDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L18-L18","name":"Lean.Elab.Term.LetRecDeclView.shortDeclName","line":18,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.shortDeclName","doc":""},"Lean.Elab.Term.LetRecDeclView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L16-L16","name":"Lean.Elab.Term.LetRecDeclView.ref","line":16,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.ref","doc":""},"Lean.Elab.Term.LetRecDeclView.mvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L22-L22","name":"Lean.Elab.Term.LetRecDeclView.mvar","line":22,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mvar","doc":""},"Lean.Elab.Term.LetRecDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L1-L1","name":"Lean.Elab.Term.LetRecDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.mk","doc":""},"Lean.Elab.Term.LetRecDeclView.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L19-L19","name":"Lean.Elab.Term.LetRecDeclView.declName","line":19,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.declName","doc":""},"Lean.Elab.Term.LetRecDeclView.binderIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L20-L20","name":"Lean.Elab.Term.LetRecDeclView.binderIds","line":20,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.binderIds","doc":""},"Lean.Elab.Term.LetRecDeclView.attrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L17-L17","name":"Lean.Elab.Term.LetRecDeclView.attrs","line":17,"kind":"def","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView.attrs","doc":""},"Lean.Elab.Term.LetRecDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/LetRec.lean#L15-L23","name":"Lean.Elab.Term.LetRecDeclView","line":15,"kind":"structure","docLink":"./Lean/Elab/LetRec.html#Lean.Elab.Term.LetRecDeclView","doc":""},"Lean.Elab.Term.LetIdDeclView.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L692-L692","name":"Lean.Elab.Term.LetIdDeclView.value","line":692,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.value","doc":""},"Lean.Elab.Term.LetIdDeclView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L691-L691","name":"Lean.Elab.Term.LetIdDeclView.type","line":691,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.type","doc":""},"Lean.Elab.Term.LetIdDeclView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.LetIdDeclView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.mk","doc":""},"Lean.Elab.Term.LetIdDeclView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L689-L689","name":"Lean.Elab.Term.LetIdDeclView.id","line":689,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.id","doc":""},"Lean.Elab.Term.LetIdDeclView.binders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L690-L690","name":"Lean.Elab.Term.LetIdDeclView.binders","line":690,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView.binders","doc":""},"Lean.Elab.Term.LetIdDeclView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L688-L692","name":"Lean.Elab.Term.LetIdDeclView","line":688,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.LetIdDeclView","doc":""},"Lean.Elab.Term.LValResolution.projIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L985-L985","name":"Lean.Elab.Term.LValResolution.projIdx","line":985,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.projIdx","doc":""},"Lean.Elab.Term.LValResolution.projFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L984-L984","name":"Lean.Elab.Term.LValResolution.projFn","line":984,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.projFn","doc":""},"Lean.Elab.Term.LValResolution.localRec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L987-L987","name":"Lean.Elab.Term.LValResolution.localRec","line":987,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.localRec","doc":""},"Lean.Elab.Term.LValResolution.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L986-L986","name":"Lean.Elab.Term.LValResolution.const","line":986,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution.const","doc":""},"Lean.Elab.Term.LValResolution":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L983-L987","name":"Lean.Elab.Term.LValResolution","line":983,"kind":"inductive","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.LValResolution","doc":"Auxiliary inductive datatype that represents the resolution of an `LVal`. "},"Lean.Elab.Term.LVal.isFieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L385-L387","name":"Lean.Elab.Term.LVal.isFieldName","line":385,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.isFieldName","doc":""},"Lean.Elab.Term.LVal.getRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L381-L383","name":"Lean.Elab.Term.LVal.getRef","line":381,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.getRef","doc":""},"Lean.Elab.Term.LVal.fieldName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L377-L379","name":"Lean.Elab.Term.LVal.fieldName","line":377,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldName","doc":"Field `suffix?` is for producing better error messages because `x.y` may be a field access or a hierarchical/composite name.\n`ref` is the syntax object representing the field. `targetStx` is the target object being accessed. "},"Lean.Elab.Term.LVal.fieldIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L376-L376","name":"Lean.Elab.Term.LVal.fieldIdx","line":376,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal.fieldIdx","doc":""},"Lean.Elab.Term.LVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L375-L379","name":"Lean.Elab.Term.LVal","line":375,"kind":"inductive","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.LVal","doc":"Auxiliary datatype for presenting a Lean lvalue modifier.\nWe represent an unelaborated lvalue as a `Syntax` (or `Expr`) and `List LVal`.\nExample: `a.foo.1` is represented as the `Syntax` `a` and the list\n`[LVal.fieldName \"foo\", LVal.fieldIdx 1]`.\n"},"Lean.Elab.Term.GeneralizeResult.toClear":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L820-L820","name":"Lean.Elab.Term.GeneralizeResult.toClear","line":820,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.toClear","doc":"`FVarId`s of the variables that have been generalized. We store them to clear after in each branch. "},"Lean.Elab.Term.GeneralizeResult.refined":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L823-L823","name":"Lean.Elab.Term.GeneralizeResult.refined","line":823,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.refined","doc":""},"Lean.Elab.Term.GeneralizeResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.GeneralizeResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.mk","doc":""},"Lean.Elab.Term.GeneralizeResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L821-L821","name":"Lean.Elab.Term.GeneralizeResult.matchType","line":821,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.matchType","doc":""},"Lean.Elab.Term.GeneralizeResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L818-L818","name":"Lean.Elab.Term.GeneralizeResult.discrs","line":818,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.discrs","doc":""},"Lean.Elab.Term.GeneralizeResult.altViews":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L822-L822","name":"Lean.Elab.Term.GeneralizeResult.altViews","line":822,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult.altViews","doc":""},"Lean.Elab.Term.GeneralizeResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L817-L823","name":"Lean.Elab.Term.GeneralizeResult","line":817,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.GeneralizeResult","doc":""},"Lean.Elab.Term.FunBinders.elabFunBindersAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L433-L439","name":"Lean.Elab.Term.FunBinders.elabFunBindersAux","line":433,"kind":"opaque","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.elabFunBindersAux","doc":""},"Lean.Elab.Term.FunBinders.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.FunBinders.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.mk","doc":""},"Lean.Elab.Term.FunBinders.State.localInsts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L388-L388","name":"Lean.Elab.Term.FunBinders.State.localInsts","line":388,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.localInsts","doc":""},"Lean.Elab.Term.FunBinders.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L387-L387","name":"Lean.Elab.Term.FunBinders.State.lctx","line":387,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.lctx","doc":""},"Lean.Elab.Term.FunBinders.State.fvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L386-L386","name":"Lean.Elab.Term.FunBinders.State.fvars","line":386,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.fvars","doc":""},"Lean.Elab.Term.FunBinders.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L389-L389","name":"Lean.Elab.Term.FunBinders.State.expectedType?","line":389,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State.expectedType?","doc":""},"Lean.Elab.Term.FunBinders.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L385-L389","name":"Lean.Elab.Term.FunBinders.State","line":385,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.FunBinders.State","doc":""},"Lean.Elab.Term.ExtractMonadResult.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L90-L90","name":"Lean.Elab.Term.ExtractMonadResult.returnType","line":90,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.returnType","doc":""},"Lean.Elab.Term.ExtractMonadResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.ExtractMonadResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.mk","doc":""},"Lean.Elab.Term.ExtractMonadResult.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L89-L89","name":"Lean.Elab.Term.ExtractMonadResult.m","line":89,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.m","doc":""},"Lean.Elab.Term.ExtractMonadResult.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L91-L91","name":"Lean.Elab.Term.ExtractMonadResult.expectedType","line":91,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult.expectedType","doc":""},"Lean.Elab.Term.ExtractMonadResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L88-L91","name":"Lean.Elab.Term.ExtractMonadResult","line":88,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.ExtractMonadResult","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.mk","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L65-L65","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","line":65,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.matchType","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L68-L68","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","line":68,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.isDep","doc":"`true` when performing dependent elimination. We use this to decide whether we optimize the \"match unit\" case.\nSee `isMatchUnit?`. "},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L64-L64","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","line":64,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.discrs","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L69-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","line":69,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult.alts","doc":""},"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L63-L69","name":"Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","line":63,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.ElabMatchTypeAndDiscrsResult","doc":""},"Lean.Elab.Term.ElabElim.setMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L817-L818","name":"Lean.Elab.Term.ElabElim.setMotive","line":817,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.setMotive","doc":"Set the `motive` field in the state. "},"Lean.Elab.Term.ElabElim.saveArgInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L833-L837","name":"Lean.Elab.Term.ElabElim.saveArgInfo","line":833,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.saveArgInfo","doc":"Save information for producing error messages. "},"Lean.Elab.Term.ElabElim.revertArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L749-L759","name":"Lean.Elab.Term.ElabElim.revertArgs","line":749,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.revertArgs","doc":"If the eliminator is over-applied, we \"revert\" the extra arguments. "},"Lean.Elab.Term.ElabElim.mkMotive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L740-L746","name":"Lean.Elab.Term.ElabElim.mkMotive","line":740,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkMotive","doc":"Infer the `motive` using the expected type by `kabstract`ing the discriminants. "},"Lean.Elab.Term.ElabElim.mkImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L840-L844","name":"Lean.Elab.Term.ElabElim.mkImplicitArg","line":840,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.mkImplicitArg","doc":"Create an implicit argument using the given `BinderInfo`. "},"Lean.Elab.Term.ElabElim.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L847-L873","name":"Lean.Elab.Term.ElabElim.main","line":847,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.main","doc":"Main loop of the `elimAsElab` procedure. "},"Lean.Elab.Term.ElabElim.getNextArg?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L801-L814","name":"Lean.Elab.Term.ElabElim.getNextArg?","line":801,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.getNextArg?","doc":"Return the next argument to be processed.\nThe result is `.none` if it is an implicit argument which was not provided using a named argument.\nThe result is `.undef` if `args` is empty and `namedArgs` does contain an entry for `binderName`.\n"},"Lean.Elab.Term.ElabElim.finalize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L765-L794","name":"Lean.Elab.Term.ElabElim.finalize","line":765,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.finalize","doc":"Construct the resulting application after all discriminants have bee elaborated, and we have\nconsumed as many given arguments as possible.\n"},"Lean.Elab.Term.ElabElim.addDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L821-L822","name":"Lean.Elab.Term.ElabElim.addDiscr","line":821,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.addDiscr","doc":"Push the given expression into the `discrs` field in the state. "},"Lean.Elab.Term.ElabElim.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L725-L725","name":"Lean.Elab.Term.ElabElim.State.namedArgs","line":725,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.namedArgs","doc":"User-provided named arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State.motive?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L735-L735","name":"Lean.Elab.Term.ElabElim.State.motive?","line":735,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.motive?","doc":"Store the metavariable used to represent the motive that will be computed at `finalize`. "},"Lean.Elab.Term.ElabElim.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.mk","doc":""},"Lean.Elab.Term.ElabElim.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L731-L731","name":"Lean.Elab.Term.ElabElim.State.instMVars","line":731,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.instMVars","doc":"Instance implicit arguments collected so far. "},"Lean.Elab.Term.ElabElim.State.idx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L733-L733","name":"Lean.Elab.Term.ElabElim.State.idx","line":733,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.idx","doc":"Position of the next argument to be processed. We use it to decide whether the argument is the motive or a discriminant. "},"Lean.Elab.Term.ElabElim.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L723-L723","name":"Lean.Elab.Term.ElabElim.State.fType","line":723,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.fType","doc":"`f : fType "},"Lean.Elab.Term.ElabElim.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L721-L721","name":"Lean.Elab.Term.ElabElim.State.f","line":721,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.f","doc":"The resultant expression being built. "},"Lean.Elab.Term.ElabElim.State.discrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L729-L729","name":"Lean.Elab.Term.ElabElim.State.discrs","line":729,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.discrs","doc":"Discriminants processed so far. "},"Lean.Elab.Term.ElabElim.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L727-L727","name":"Lean.Elab.Term.ElabElim.State.args","line":727,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State.args","doc":"User-provided arguments that still have to be processed. "},"Lean.Elab.Term.ElabElim.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L719-L735","name":"Lean.Elab.Term.ElabElim.State","line":719,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.State","doc":"State of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabElim.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L737-L737","name":"Lean.Elab.Term.ElabElim.M","line":737,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.M","doc":""},"Lean.Elab.Term.ElabElim.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabElim.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.mk","doc":""},"Lean.Elab.Term.ElabElim.Context.extraArgsPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L716-L716","name":"Lean.Elab.Term.ElabElim.Context.extraArgsPos","line":716,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.extraArgsPos","doc":"Position of additional arguments that should be elaborated eagerly\nbecause they can contribute to the motive inference procedure.\nFor example, in the following theorem the argument `h : a = b`\nshould be elaborated eagerly because it contains `b` which occurs\nin `motive b`.\n```\ntheorem Eq.subst' {α} {motive : α → Prop} {a b : α} (h : a = b) : motive a → motive b\n```\n"},"Lean.Elab.Term.ElabElim.Context.expectedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L705-L705","name":"Lean.Elab.Term.ElabElim.Context.expectedType","line":705,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.expectedType","doc":""},"Lean.Elab.Term.ElabElim.Context.elimInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L704-L704","name":"Lean.Elab.Term.ElabElim.Context.elimInfo","line":704,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context.elimInfo","doc":""},"Lean.Elab.Term.ElabElim.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L703-L716","name":"Lean.Elab.Term.ElabElim.Context","line":703,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabElim.Context","doc":"Context of the `elab_as_elim` elaboration procedure. "},"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L174-L181","name":"Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","line":174,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.trySynthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet stay in the `instMVars` list.\nRemark: we use this method\n - before trying to apply coercions to function,\n - before unifying the expected type.\n"},"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L187-L189","name":"Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","line":187,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.synthesizeAppInstMVars","doc":"Try to synthesize metavariables are `instMVars` using type class resolution.\nThe ones that cannot be synthesized yet are registered.\n"},"Lean.Elab.Term.ElabAppArgs.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L654-L676","name":"Lean.Elab.Term.ElabAppArgs.main","line":654,"kind":"opaque","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.main","doc":"Elaborate function application arguments. "},"Lean.Elab.Term.ElabAppArgs.eraseNamedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L226-L227","name":"Lean.Elab.Term.ElabAppArgs.eraseNamedArg","line":226,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.eraseNamedArg","doc":"Remove named argument with name `binderName` from `namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L147-L147","name":"Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","line":147,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.toSetErrorCtx","doc":"Metavariables that we need to set the error context using the application being built. "},"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L159-L159","name":"Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","line":159,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.resultTypeOutParam?","doc":"If the result type may be the `outParam` of some local instance.\nSee comment at `Context.resultIsOutParamSupport`\n"},"Lean.Elab.Term.ElabAppArgs.State.propagateExpected":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L154-L154","name":"Lean.Elab.Term.ElabAppArgs.State.propagateExpected","line":154,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.propagateExpected","doc":"The following field is used to implement the `propagateExpectedType` heuristic.\nIt is set to `true` true when `expectedType` still has to be propagated.\n"},"Lean.Elab.Term.ElabAppArgs.State.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L132-L132","name":"Lean.Elab.Term.ElabAppArgs.State.namedArgs","line":132,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.namedArgs","doc":"remaining named arguments to be processed. "},"Lean.Elab.Term.ElabAppArgs.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.State.instMVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L149-L149","name":"Lean.Elab.Term.ElabAppArgs.State.instMVars","line":149,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.instMVars","doc":"Metavariables for the instance implicit arguments that have already been processed. "},"Lean.Elab.Term.ElabAppArgs.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L128-L128","name":"Lean.Elab.Term.ElabAppArgs.State.fType","line":128,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.fType","doc":""},"Lean.Elab.Term.ElabAppArgs.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L127-L127","name":"Lean.Elab.Term.ElabAppArgs.State.f","line":127,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.f","doc":""},"Lean.Elab.Term.ElabAppArgs.State.expectedType?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L133-L133","name":"Lean.Elab.Term.ElabAppArgs.State.expectedType?","line":133,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.expectedType?","doc":""},"Lean.Elab.Term.ElabAppArgs.State.etaArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L145-L145","name":"Lean.Elab.Term.ElabAppArgs.State.etaArgs","line":145,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.etaArgs","doc":"When named arguments are provided and explicit arguments occurring before them are missing,\nthe elaborator eta-expands the declaration. For example,\n```\ndef f (x y : Nat) := x + y\n#check f (y := 5)\n-- fun x => f x 5\n```\n`etaArgs` stores the fresh free variables for implementing the eta-expansion.\nWhen `..` is used, eta-expansion is disabled, and missing arguments are treated as `_`.\n"},"Lean.Elab.Term.ElabAppArgs.State.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L130-L130","name":"Lean.Elab.Term.ElabAppArgs.State.args","line":130,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State.args","doc":"Remaining regular arguments. "},"Lean.Elab.Term.ElabAppArgs.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L126-L159","name":"Lean.Elab.Term.ElabAppArgs.State","line":126,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.State","doc":"Auxiliary structure for elaborating the application `f args namedArgs`. "},"Lean.Elab.Term.ElabAppArgs.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L161-L161","name":"Lean.Elab.Term.ElabAppArgs.M","line":161,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.M","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L123-L123","name":"Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","line":123,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.resultIsOutParamSupport","doc":"If the result type of an application is the `outParam` of some local instance, then special support may be needed\nbecause type class resolution interacts poorly with coercions in this kind of situation.\nThis flag enables the special support.\n\nThe idea is quite simple, if the result type is the `outParam` of some local instance, we simply\nexecute `synthesizeSyntheticMVarsUsingDefault`. We added this feature to make sure examples as follows\nare correctly elaborated.\n```lean\nclass GetElem (Cont : Type u) (Idx : Type v) (Elem : outParam (Type w)) where\n getElem (xs : Cont) (i : Idx) : Elem\n\nexport GetElem (getElem)\n\ninstance : GetElem (Array α) Nat α where\n getElem xs i := xs.get ⟨i, sorry⟩\n\nopaque f : Option Bool → Bool\nopaque g : Bool → Bool\n\ndef bad (xs : Array Bool) : Bool :=\n let x := getElem xs 0\n f x && g x\n```\nWithout the special support, Lean fails at `g x` saying `x` has type `Option Bool` but is expected to have type `Bool`.\nFrom the user's point of view this is a bug, since `let x := getElem xs 0` clearly constrains `x` to be `Bool`, but\nwe only obtain this information after we apply the `OfNat` default instance for `0`.\n\nBefore converging to this solution, we have tried to create a \"coercion placeholder\" when `resultIsOutParamSupport = true`,\nbut it did not work well in practice. For example, it failed in the example above.\n"},"Lean.Elab.Term.ElabAppArgs.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L1-L1","name":"Lean.Elab.Term.ElabAppArgs.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.mk","doc":""},"Lean.Elab.Term.ElabAppArgs.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L91-L91","name":"Lean.Elab.Term.ElabAppArgs.Context.explicit","line":91,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.explicit","doc":"`true` if `@` modifier was used\n"},"Lean.Elab.Term.ElabAppArgs.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L87-L87","name":"Lean.Elab.Term.ElabAppArgs.Context.ellipsis","line":87,"kind":"def","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context.ellipsis","doc":"`true` if `..` was used\n"},"Lean.Elab.Term.ElabAppArgs.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/App.lean#L83-L123","name":"Lean.Elab.Term.ElabAppArgs.Context","line":83,"kind":"structure","docLink":"./Lean/Elab/App.html#Lean.Elab.Term.ElabAppArgs.Context","doc":""},"Lean.Elab.Term.Do.pullExitPointsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L374-L390","name":"Lean.Elab.Term.Do.pullExitPointsAux","line":374,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPointsAux","doc":"`pullExitPointsAux rs c` auxiliary method for `pullExitPoints`, `rs` is the set of update variable in the current path. "},"Lean.Elab.Term.Do.pullExitPoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L441-L446","name":"Lean.Elab.Term.Do.pullExitPoints","line":441,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.pullExitPoints","doc":"Auxiliary operation for adding new variables to the collection of updated variables in a CodeBlock.\nWhen a new variable is not already in the collection, but is shadowed by some declaration in `c`,\nwe create auxiliary join points to make sure we preserve the semantics of the code block.\nExample: suppose we have the code block `print x; let x := 10; return x`. And we want to extend it\nwith the reassignment `x := x + 1`. We first use `pullExitPoints` to create\n```\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nand then we add the reassignment\n```\nx := x + 1\nlet jp (x!1) := return x!1;\nprint x;\nlet x := 10;\njmp jp x\n```\nNote that we created a fresh variable `x!1` to avoid accidental name capture.\nAs another example, consider\n```\nprint x;\nlet x := 10\ny := y + 1;\nreturn x;\n```\nWe transform it into\n```\nlet jp (y x!1) := return x!1;\nprint x;\nlet x := 10\ny := y + 1;\njmp jp y x\n```\nand then we add the reassignment as in the previous example.\nWe need to include `y` in the jump, because each exit point is implicitly returning the set of\nupdate variables.\n\nWe implement the method as follows. Let `us` be `c.uvars`, then\n1- for each `return _ y` in `c`, we create a join point\n `let j (us y!1) := return y!1`\n and replace the `return _ y` with `jmp us y`\n2- for each `break`, we create a join point\n `let j (us) := break`\n and replace the `break` with `jmp us`.\n3- Same as 2 for `continue`.\n"},"Lean.Elab.Term.Do.mkVarDeclCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L509-L512","name":"Lean.Elab.Term.Do.mkVarDeclCore","line":509,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkVarDeclCore","doc":"Extending code blocks with variable declarations: `let x : t := v` and `let x : t ← v`.\nWe remove `x` from the collection of updated varibles.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `let (x, y) := t`\n"},"Lean.Elab.Term.Do.mkUnless":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L560-L562","name":"Lean.Elab.Term.Do.mkUnless","line":560,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkUnless","doc":""},"Lean.Elab.Term.Do.mkTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L531-L532","name":"Lean.Elab.Term.Do.mkTerminalAction","line":531,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkTerminalAction","doc":""},"Lean.Elab.Term.Do.mkSimpleJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L351-L358","name":"Lean.Elab.Term.Do.mkSimpleJmp","line":351,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSimpleJmp","doc":"Create a new jointpoint for `c`, and jump to it with the variables `rs` "},"Lean.Elab.Term.Do.mkSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L528-L529","name":"Lean.Elab.Term.Do.mkSeq","line":528,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkSeq","doc":""},"Lean.Elab.Term.Do.mkReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L534-L535","name":"Lean.Elab.Term.Do.mkReturn","line":534,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReturn","doc":""},"Lean.Elab.Term.Do.mkReassignCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L520-L526","name":"Lean.Elab.Term.Do.mkReassignCore","line":520,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkReassignCore","doc":"Extending code blocks with reassignments: `x : t := v` and `x : t ← v`.\nRemark: `stx` is the syntax for the declaration (e.g., `letDecl`), and `xs` are the variables\ndeclared by it. It is an array because we have let-declarations that declare multiple variables.\nExample: `(x, y) ← t`\n"},"Lean.Elab.Term.Do.mkPureUnitAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L557-L558","name":"Lean.Elab.Term.Do.mkPureUnitAction","line":557,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkPureUnitAction","doc":""},"Lean.Elab.Term.Do.mkMatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L564-L570","name":"Lean.Elab.Term.Do.mkMatch","line":564,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkMatch","doc":""},"Lean.Elab.Term.Do.mkJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L363-L371","name":"Lean.Elab.Term.Do.mkJmp","line":363,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.mkJmp","doc":"Create a new joinpoint that takes `rs` and `val` as arguments. `val` must be syntax representing a pure value.\nThe body of the joinpoint is created using `mkJPBody yFresh`, where `yFresh`\nis a fresh variable created by this method. 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two code blocks `c₁` and `c₂`, make sure they have the same set of updated variables.\nLet `ws` the union of the updated variables in `c₁‵ and ‵c₂`.\nWe use `extendUpdatedVars c₁ ws` and `extendUpdatedVars c₂ ws`\n"},"Lean.Elab.Term.Do.hasTerminalAction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L268-L271","name":"Lean.Elab.Term.Do.hasTerminalAction","line":268,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasTerminalAction","doc":""},"Lean.Elab.Term.Do.hasReturn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L263-L266","name":"Lean.Elab.Term.Do.hasReturn","line":263,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasReturn","doc":""},"Lean.Elab.Term.Do.hasExitPointPred.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L249-L257","name":"Lean.Elab.Term.Do.hasExitPointPred.loop","line":249,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred.loop","doc":""},"Lean.Elab.Term.Do.hasExitPointPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L248-L258","name":"Lean.Elab.Term.Do.hasExitPointPred","line":248,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.hasExitPointPred","doc":"Return 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Term.Do.getDoHaveVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L633-L647","name":"Lean.Elab.Term.Do.getDoHaveVars","line":633,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.getDoHaveVars","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L449-L473","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux.update","line":449,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux.update","doc":""},"Lean.Elab.Term.Do.extendUpdatedVarsAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L448-L474","name":"Lean.Elab.Term.Do.extendUpdatedVarsAux","line":448,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVarsAux","doc":""},"Lean.Elab.Term.Do.extendUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L481-L486","name":"Lean.Elab.Term.Do.extendUpdatedVars","line":481,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.extendUpdatedVars","doc":"Extend the set of updated variables. It assumes `ws` is a super set of `c.uvars`.\nWe **cannot** simply update the field `c.uvars`, because `c` may have shadowed some variable in `ws`.\nSee discussion at `pullExitPoints`.\n"},"Lean.Elab.Term.Do.eraseVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L342-L343","name":"Lean.Elab.Term.Do.eraseVars","line":342,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseVars","doc":""},"Lean.Elab.Term.Do.eraseOptVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L345-L348","name":"Lean.Elab.Term.Do.eraseOptVar","line":345,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.eraseOptVar","doc":""},"Lean.Elab.Term.Do.elabDo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1676-L1684","name":"Lean.Elab.Term.Do.elabDo","line":1676,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.elabDo","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L296-L308","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","line":296,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp.loop","doc":""},"Lean.Elab.Term.Do.convertTerminalActionIntoJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L295-L309","name":"Lean.Elab.Term.Do.convertTerminalActionIntoJmp","line":295,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.convertTerminalActionIntoJmp","doc":"Convert `action _ e` instructions in `c` into `let y ← e; jmp _ jp (xs y)`. "},"Lean.Elab.Term.Do.concat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L574-L585","name":"Lean.Elab.Term.Do.concat","line":574,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.concat","doc":"Return a code block that executes `terminal` and then `k` with the value produced by `terminal`.\nThis method assumes `terminal` is a terminal "},"Lean.Elab.Term.Do.attachJPs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L319-L320","name":"Lean.Elab.Term.Do.attachJPs","line":319,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJPs","doc":""},"Lean.Elab.Term.Do.attachJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L316-L317","name":"Lean.Elab.Term.Do.attachJP","line":316,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.attachJP","doc":""},"Lean.Elab.Term.Do.annotate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L885-L886","name":"Lean.Elab.Term.Do.annotate","line":885,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.annotate","doc":"Helper method for annotating `term` with the raw syntax `ref`.\nWe use this method to implement finer-grained term infos for `do`-blocks.\n\nWe use `withRef term` to make sure the synthetic position for the `with_annotate_term` is equal\nto the one for `term`. This is important for producing error messages when there is a type mismatch.\nConsider the following example:\n```\nopaque f : IO Nat\n\ndef g : IO String := do\n f\n```\nThere is at type mismatch at `f`, but it is detected when elaborating the expanded term\ncontaining the `with_annotate_term .. f`. The current `getRef` when this `annotate` is invoked\nis not necessarily `f`. Actually, it is the whole `do`-block. By using `withRef` we ensure\nthe synthetic position for the `with_annotate_term ..` is equal to `term`.\nRecall that synthetic positions are used when generating error messages.\n"},"Lean.Elab.Term.Do.addFreshJP":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L334-L337","name":"Lean.Elab.Term.Do.addFreshJP","line":334,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.addFreshJP","doc":""},"Lean.Elab.Term.Do.VarSet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L216-L216","name":"Lean.Elab.Term.Do.VarSet","line":216,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.VarSet","doc":""},"Lean.Elab.Term.Do.Var":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L129-L129","name":"Lean.Elab.Term.Do.Var","line":129,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Var","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1063-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm.go","line":1063,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm.go","doc":""},"Lean.Elab.Term.Do.ToTerm.toTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1056-L1082","name":"Lean.Elab.Term.Do.ToTerm.toTerm","line":1056,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.toTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.seqToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L967-L976","name":"Lean.Elab.Term.Do.ToTerm.seqToTerm","line":967,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.seqToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1084-L1085","name":"Lean.Elab.Term.Do.ToTerm.run","line":1084,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.run","doc":""},"Lean.Elab.Term.Do.ToTerm.returnToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L919-L929","name":"Lean.Elab.Term.Do.ToTerm.returnToTerm","line":919,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.returnToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.reassignToTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1009-L1015","name":"Lean.Elab.Term.Do.ToTerm.reassignToTerm","line":1009,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.reassignToTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkUVarTuple":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L915-L917","name":"Lean.Elab.Term.Do.ToTerm.mkUVarTuple","line":915,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkUVarTuple","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedTerm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1104-L1105","name":"Lean.Elab.Term.Do.ToTerm.mkNestedTerm","line":1104,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedTerm","doc":""},"Lean.Elab.Term.Do.ToTerm.mkNestedKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1093-L1102","name":"Lean.Elab.Term.Do.ToTerm.mkNestedKind","line":1093,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkNestedKind","doc":"Given\n- `a` is true if the code block has a `Code.action _` exit point\n- `r` is true if the code block has a `Code.return _ _` exit point\n- `bc` is true if the code block has a `Code.break _` or `Code.continue _` exit point\n\ngenerate Kind. See comment at the beginning of the `ToTerm` namespace. "},"Lean.Elab.Term.Do.ToTerm.mkJoinPoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1024-L1051","name":"Lean.Elab.Term.Do.ToTerm.mkJoinPoint","line":1024,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkJoinPoint","doc":""},"Lean.Elab.Term.Do.ToTerm.mkJmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1053-L1054","name":"Lean.Elab.Term.Do.ToTerm.mkJmp","line":1053,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkJmp","doc":""},"Lean.Elab.Term.Do.ToTerm.mkIte":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1017-L1022","name":"Lean.Elab.Term.Do.ToTerm.mkIte","line":1017,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.mkIte","doc":""},"Lean.Elab.Term.Do.ToTerm.matchNestedTermResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1115-L1158","name":"Lean.Elab.Term.Do.ToTerm.matchNestedTermResult","line":1115,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.matchNestedTermResult","doc":"Given 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"},"Lean.Elab.Term.Do.ToTerm.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToTerm.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.mk","doc":""},"Lean.Elab.Term.Do.ToTerm.Context.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L907-L907","name":"Lean.Elab.Term.Do.ToTerm.Context.m","line":907,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.m","doc":"Syntax to reference the monad associated with the do notation. "},"Lean.Elab.Term.Do.ToTerm.Context.kind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L911-L911","name":"Lean.Elab.Term.Do.ToTerm.Context.kind","line":911,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context.kind","doc":""},"Lean.Elab.Term.Do.ToTerm.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L905-L911","name":"Lean.Elab.Term.Do.ToTerm.Context","line":905,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToTerm.Context","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1181-L1182","name":"Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","line":1181,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withNewMutableVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.withFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1200-L1201","name":"Lean.Elab.Term.Do.ToCodeBlock.withFor","line":1200,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.withFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1294-L1299","name":"Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","line":1294,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.tryCatchPred","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1671-L1672","name":"Lean.Elab.Term.Do.ToCodeBlock.run","line":1671,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.run","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1207-L1212","name":"Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","line":1207,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.mkForInBody","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1286-L1292","name":"Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","line":1286,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.getTryCatchUpdatedVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1252-L1258","name":"Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","line":1252,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.expandLiftMethod","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1214-L1216","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","line":1214,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureInsideFor","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1218-L1220","name":"Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","line":1218,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ensureEOS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1418-L1423","name":"Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","line":1418,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doUnlessToCode","doc":"Generate `CodeBlock` for `doUnless; doElems`\n`doUnless` is of the form\n```\n\"unless \" >> termParser >> \"do \" >> doSeq\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1544-L1593","name":"Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","line":1544,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doTryToCode","doc":"Generate `CodeBlock` for `doTry; doElems`\n```\ndef doTry := leading_parser \"try \" >> doSeq >> many (doCatch <|> doCatchMatch) >> optional doFinally\ndef doCatch := leading_parser \"catch \" >> binderIdent >> optional (\":\" >> termParser) >> darrow >> doSeq\ndef doCatchMatch := leading_parser \"catch \" >> doMatchAlts\ndef doFinally := leading_parser \"finally \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1595-L1668","name":"Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","line":1595,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doSeqToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1275-L1279","name":"Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","line":1275,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReturnToCode","doc":"Generate `CodeBlock` for `doReturn` which is of the form\n```\n\"return \" >> optional termParser\n```\n`doElems` is only used for sanity checking. "},"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1380-L1397","name":"Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","line":1380,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doReassignArrowToCode","doc":"Generate `CodeBlock` for `doReassignArrow; doElems`\n`doReassignArrow` is of the form\n```\n(doIdDecl <|> doPatDecl)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1518-L1533","name":"Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","line":1518,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doMatchToCode","doc":"Generate `CodeBlock` for `doMatch; doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1360-L1372","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","line":1360,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetElseToCode","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1322-L1358","name":"Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","line":1322,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doLetArrowToCode","doc":"Generate `CodeBlock` for `doLetArrow; doElems`\n`doLetArrow` is of the form\n```\n\"let \" >> optional \"mut \" >> (doIdDecl <|> doPatDecl)\n```\nwhere\n```\ndef doIdDecl := leading_parser ident >> optType >> leftArrow >> doElemParser\ndef doPatDecl := leading_parser termParser >> leftArrow >> doElemParser >> optional (\" | \" >> doSeq)\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1406-L1411","name":"Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","line":1406,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doIfToCode","doc":"Generate `CodeBlock` for `doIf; doElems`\n`doIf` is of the form\n```\n\"if \" >> optIdent >> termParser >> \" then \" >> doSeq\n >> many (group (try (group (\" else \" >> \" if \")) >> optIdent >> termParser >> \" then \" >> doSeq))\n >> optional (\" else \" >> doSeq)\n``` "},"Lean.Elab.Term.Do.ToCodeBlock.doForToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1432-L1515","name":"Lean.Elab.Term.Do.ToCodeBlock.doForToCode","line":1432,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.doForToCode","doc":"Generate `CodeBlock` for `doFor; doElems`\n`doFor` is of the form\n```\ndef doForDecl := leading_parser termParser >> \" in \" >> withForbidden \"do\" termParser\ndef doFor := leading_parser \"for \" >> sepBy1 doForDecl \", \" >> \"do \" >> doSeq\n```\n"},"Lean.Elab.Term.Do.ToCodeBlock.concatWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1303-L1309","name":"Lean.Elab.Term.Do.ToCodeBlock.concatWith","line":1303,"kind":"opaque","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.concatWith","doc":"\"Concatenate\" `c` with `doSeqToCode doElems` "},"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1184-L1190","name":"Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","line":1184,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkReassignable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1192-L1198","name":"Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","line":1192,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkNotShadowingMutable","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1260-L1268","name":"Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","line":1260,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.checkLetArrowRHS","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1204-L1204","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","line":1204,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.uvars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1205-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","line":1205,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.term","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult.mk","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1203-L1205","name":"Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","line":1203,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.ToForInTermResult","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1179-L1179","name":"Lean.Elab.Term.Do.ToCodeBlock.M","line":1179,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.M","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1175-L1175","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","line":1175,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.returnType","doc":"Syntax to reference the result of the monadic computation performed by the do notation. "},"Lean.Elab.Term.Do.ToCodeBlock.Context.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1171-L1171","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.ref","line":1171,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.ref","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.mutableVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1176-L1176","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.mutableVars","line":1176,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.mutableVars","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1-L1","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.mk","doc":""},"Lean.Elab.Term.Do.ToCodeBlock.Context.m":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L1173-L1173","name":"Lean.Elab.Term.Do.ToCodeBlock.Context.m","line":1173,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.ToCodeBlock.Context.m","doc":"Syntax representing the monad associated with the do notation. 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code block, and the collection of variables updated by it. "},"Lean.Elab.Term.Do.Code.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L192-L192","name":"Lean.Elab.Term.Do.Code.seq","line":192,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.seq","doc":""},"Lean.Elab.Term.Do.Code.return":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L196-L196","name":"Lean.Elab.Term.Do.Code.return","line":196,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.return","doc":""},"Lean.Elab.Term.Do.Code.reassign":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L189-L189","name":"Lean.Elab.Term.Do.Code.reassign","line":189,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.reassign","doc":""},"Lean.Elab.Term.Do.Code.match":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L199-L199","name":"Lean.Elab.Term.Do.Code.match","line":199,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.match","doc":""},"Lean.Elab.Term.Do.Code.joinpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L190-L191","name":"Lean.Elab.Term.Do.Code.joinpoint","line":190,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.joinpoint","doc":"The Boolean value in `params` indicates whether we should use `(x : typeof! x)` when generating term Syntax or not "},"Lean.Elab.Term.Do.Code.jmp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L200-L200","name":"Lean.Elab.Term.Do.Code.jmp","line":200,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.jmp","doc":""},"Lean.Elab.Term.Do.Code.ite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L197-L198","name":"Lean.Elab.Term.Do.Code.ite","line":197,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.ite","doc":"Recall that an if-then-else may declare a variable using `optIdent` for the branches `thenBranch` and `elseBranch`. We store the variable name at `var?`. "},"Lean.Elab.Term.Do.Code.getRef?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L203-L214","name":"Lean.Elab.Term.Do.Code.getRef?","line":203,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.getRef?","doc":""},"Lean.Elab.Term.Do.Code.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L188-L188","name":"Lean.Elab.Term.Do.Code.decl","line":188,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.decl","doc":""},"Lean.Elab.Term.Do.Code.continue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L195-L195","name":"Lean.Elab.Term.Do.Code.continue","line":195,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.continue","doc":""},"Lean.Elab.Term.Do.Code.break":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L194-L194","name":"Lean.Elab.Term.Do.Code.break","line":194,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.break","doc":""},"Lean.Elab.Term.Do.Code.action":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L193-L193","name":"Lean.Elab.Term.Do.Code.action","line":193,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code.action","doc":""},"Lean.Elab.Term.Do.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L187-L201","name":"Lean.Elab.Term.Do.Code","line":187,"kind":"inductive","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Code","doc":"Auxiliary datastructure for representing a `do` code block, and compiling \"reassignments\" (e.g., `x := x + 1`).\nWe convert `Code` into a `Syntax` term representing the:\n- `do`-block, or\n- the visitor argument for the `forIn` combinator.\n\nWe say the following constructors are terminals:\n- `break`: for interrupting a `for x in s`\n- `continue`: for interrupting the current iteration of a `for x in s`\n- `return e`: for returning `e` as the result for the whole `do` computation block\n- `action a`: for executing action `a` as a terminal\n- `ite`: if-then-else\n- `match`: pattern matching\n- `jmp` a goto to a join-point\n\nWe say the terminals `break`, `continue`, `action`, and `return` are \"exit points\"\n\nNote that, `return e` is not equivalent to `action (pure e)`. Here is an example:\n```\ndef f (x : Nat) : IO Unit := do\nif x == 0 then\n return ()\nIO.println \"hello\"\n```\nExecuting `#eval f 0` will not print \"hello\". Now, consider\n```\ndef g (x : Nat) : IO Unit := do\nif x == 0 then\n pure ()\nIO.println \"hello\"\n```\nThe `if` statement is essentially a noop, and \"hello\" is printed when we execute `g 0`.\n\n- `decl` represents all declaration-like `doElem`s (e.g., `let`, `have`, `let rec`).\n The field `stx` is the actual `doElem`,\n `vars` is the array of variables declared by it, and `cont` is the next instruction in the `do` code block.\n `vars` is an array since we have declarations such as `let (a, b) := s`.\n\n- `reassign` is an reassignment-like `doElem` (e.g., `x := x + 1`).\n\n- `joinpoint` is a join point declaration: an auxiliary `let`-declaration used to represent the control-flow.\n\n- `seq a k` executes action `a`, ignores its result, and then executes `k`.\n We also store the do-elements `dbg_trace` and `assert!` as actions in a `seq`.\n\nA code block `C` is well-formed if\n- For every `jmp ref j as` in `C`, there is a `joinpoint j ps b k` and `jmp ref j as` is in `k`, and\n `ps.size == as.size` "},"Lean.Elab.Term.Do.Alt.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L134-L134","name":"Lean.Elab.Term.Do.Alt.vars","line":134,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.vars","doc":""},"Lean.Elab.Term.Do.Alt.rhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L136-L136","name":"Lean.Elab.Term.Do.Alt.rhs","line":136,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.rhs","doc":""},"Lean.Elab.Term.Do.Alt.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L133-L133","name":"Lean.Elab.Term.Do.Alt.ref","line":133,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.ref","doc":""},"Lean.Elab.Term.Do.Alt.patterns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L135-L135","name":"Lean.Elab.Term.Do.Alt.patterns","line":135,"kind":"def","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.patterns","doc":""},"Lean.Elab.Term.Do.Alt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L132-L132","name":"Lean.Elab.Term.Do.Alt.mk","line":132,"kind":"ctor","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt.mk","doc":""},"Lean.Elab.Term.Do.Alt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Do.lean#L132-L137","name":"Lean.Elab.Term.Do.Alt","line":132,"kind":"structure","docLink":"./Lean/Elab/Do.html#Lean.Elab.Term.Do.Alt","doc":"A `doMatch` alternative. `vars` is the array of variables declared by `patterns`. "},"Lean.Elab.Term.Discr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L1-L1","name":"Lean.Elab.Term.Discr.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.mk","doc":""},"Lean.Elab.Term.Discr.h?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L60-L60","name":"Lean.Elab.Term.Discr.h?","line":60,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.h?","doc":"`some h` if discriminant is annotated with the `h : ` notation. "},"Lean.Elab.Term.Discr.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L58-L58","name":"Lean.Elab.Term.Discr.expr","line":58,"kind":"def","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr.expr","doc":""},"Lean.Elab.Term.Discr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Match.lean#L57-L61","name":"Lean.Elab.Term.Discr","line":57,"kind":"structure","docLink":"./Lean/Elab/Match.html#Lean.Elab.Term.Discr","doc":""},"Lean.Elab.Term.Context.tacticCache?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L206-L206","name":"Lean.Elab.Term.Context.tacticCache?","line":206,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.tacticCache?","doc":"Cache for the `save` tactic. It is only `some` in the LSP server. "},"Lean.Elab.Term.Context.sectionVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L194-L194","name":"Lean.Elab.Term.Context.sectionVars","line":194,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionVars","doc":"Map from user name to internal unique name "},"Lean.Elab.Term.Context.sectionFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L196-L196","name":"Lean.Elab.Term.Context.sectionFVars","line":196,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.sectionFVars","doc":"Map from internal name to fvar "},"Lean.Elab.Term.Context.saveRecAppSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L211-L211","name":"Lean.Elab.Term.Context.saveRecAppSyntax","line":211,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.saveRecAppSyntax","doc":"If `true`, we store in the `Expr` the `Syntax` for recursive applications (i.e., applications\nof free variables tagged with `isAuxDecl`). We store the `Syntax` using `mkRecAppWithSyntax`.\nWe use the `Syntax` object to produce better error messages at `Structural.lean` and `WF.lean`. "},"Lean.Elab.Term.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Term.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mk","doc":""},"Lean.Elab.Term.Context.mayPostpone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L166-L166","name":"Lean.Elab.Term.Context.mayPostpone","line":166,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.mayPostpone","doc":"When `mayPostpone == true`, an elaboration function may interrupt its execution by throwing `Exception.postpone`.\nThe function `elabTerm` catches this exception and creates fresh synthetic metavariable `?m`, stores `?m` in\nthe list of pending synthetic metavariables, and returns `?m`. "},"Lean.Elab.Term.Context.macroStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L161-L161","name":"Lean.Elab.Term.Context.macroStack","line":161,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.macroStack","doc":""},"Lean.Elab.Term.Context.isNoncomputableSection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L200-L200","name":"Lean.Elab.Term.Context.isNoncomputableSection","line":200,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.isNoncomputableSection","doc":"Noncomputable sections automatically add the `noncomputable` modifier to any declaration we cannot generate code for. "},"Lean.Elab.Term.Context.inPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L204-L204","name":"Lean.Elab.Term.Context.inPattern","line":204,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.inPattern","doc":"`true` when elaborating patterns. It affects how we elaborate named holes. "},"Lean.Elab.Term.Context.implicitLambda":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L198-L198","name":"Lean.Elab.Term.Context.implicitLambda","line":198,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.implicitLambda","doc":"Enable/disable implicit lambdas feature. "},"Lean.Elab.Term.Context.ignoreTCFailures":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L202-L202","name":"Lean.Elab.Term.Context.ignoreTCFailures","line":202,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.ignoreTCFailures","doc":"When `true` we skip TC failures. We use this option when processing patterns. "},"Lean.Elab.Term.Context.holesAsSyntheticOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L219-L219","name":"Lean.Elab.Term.Context.holesAsSyntheticOpaque","line":219,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.holesAsSyntheticOpaque","doc":"If `holesAsSyntheticOpaque` is `true`, then we mark metavariables associated\nwith `_`s as `synthethicOpaque` if they do not occur in patterns.\nThis option is useful when elaborating terms in tactics such as `refine'` where\nwe want holes there to become new goals. See issue #1681, we have\n`refine' (fun x => _)\n"},"Lean.Elab.Term.Context.errToSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L175-L175","name":"Lean.Elab.Term.Context.errToSorry","line":175,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.errToSorry","doc":"When `errToSorry` is set to true, the method `elabTerm` catches\nexceptions and converts them into synthetic `sorry`s.\nThe implementation of choice nodes and overloaded symbols rely on the fact\nthat when `errToSorry` is set to false for an elaboration function `F`, then\n`errToSorry` remains `false` for all elaboration functions invoked by `F`.\nThat is, it is safe to transition `errToSorry` from `true` to `false`, but\nwe must not set `errToSorry` to `true` when it is currently set to `false`. "},"Lean.Elab.Term.Context.declName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L156-L156","name":"Lean.Elab.Term.Context.declName?","line":156,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.declName?","doc":""},"Lean.Elab.Term.Context.auxDeclToFullName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L160-L160","name":"Lean.Elab.Term.Context.auxDeclToFullName","line":160,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.auxDeclToFullName","doc":"Map `.auxDecl` local declarations used to encode recursive declarations to their full-names.\n"},"Lean.Elab.Term.Context.autoBoundImplicits":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L183-L183","name":"Lean.Elab.Term.Context.autoBoundImplicits","line":183,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicits","doc":""},"Lean.Elab.Term.Context.autoBoundImplicitForbidden":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L192-L192","name":"Lean.Elab.Term.Context.autoBoundImplicitForbidden","line":192,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicitForbidden","doc":"A name `n` is only eligible to be an auto implicit name if `autoBoundImplicitForbidden n = false`.\nWe use this predicate to disallow `f` to be considered an auto implicit name in a definition such\nas\n```\ndef f : f → Bool := fun _ => true\n```\n"},"Lean.Elab.Term.Context.autoBoundImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L182-L182","name":"Lean.Elab.Term.Context.autoBoundImplicit","line":182,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context.autoBoundImplicit","doc":"When `autoBoundImplicit` is set to true, instead of producing\nan \"unknown identifier\" error for unbound variables, we generate an\ninternal exception. This exception is caught at `elabBinders` and\n`elabTypeWithUnboldImplicit`. Both methods add implicit declarations\nfor the unbound variable and try again. "},"Lean.Elab.Term.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L155-L219","name":"Lean.Elab.Term.Context","line":155,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.Context","doc":""},"Lean.Elab.Term.ContainsPendingMVar.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L676-L697","name":"Lean.Elab.Term.ContainsPendingMVar.visit","line":676,"kind":"opaque","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.visit","doc":"See `containsPostponedTerm` "},"Lean.Elab.Term.ContainsPendingMVar.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L673-L673","name":"Lean.Elab.Term.ContainsPendingMVar.M","line":673,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Term.ContainsPendingMVar.M","doc":""},"Lean.Elab.Term.CollectPatternVars.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L313-L317","name":"Lean.Elab.Term.CollectPatternVars.main","line":313,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.main","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L45-L45","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedState","line":45,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedState","doc":""},"Lean.Elab.Term.CollectPatternVars.instInhabitedContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L75-L75","name":"Lean.Elab.Term.CollectPatternVars.instInhabitedContext","line":75,"kind":"instance","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.instInhabitedContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L248-L253","name":"Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","line":248,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.pushNewArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L265-L269","name":"Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","line":265,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processImplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L233-L246","name":"Lean.Elab.Term.CollectPatternVars.collect.processId","line":233,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processId","doc":"Check whether `stx` is a pattern variable or constructor-like (i.e., constructor or constant tagged with `[match_pattern]` attribute) "},"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L255-L263","name":"Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","line":255,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processExplicitArg","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L291-L311","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","line":291,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppCore","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L271-L289","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","line":271,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorAppContext","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L216-L227","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","line":216,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtorApp","doc":""},"Lean.Elab.Term.CollectPatternVars.collect.processCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L229-L230","name":"Lean.Elab.Term.CollectPatternVars.collect.processCtor","line":229,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect.processCtor","doc":""},"Lean.Elab.Term.CollectPatternVars.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L122-L311","name":"Lean.Elab.Term.CollectPatternVars.collect","line":122,"kind":"opaque","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.collect","doc":""},"Lean.Elab.Term.CollectPatternVars.State.vars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L44-L44","name":"Lean.Elab.Term.CollectPatternVars.State.vars","line":44,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.vars","doc":"Pattern variables found so far as an array. It contains the order they were found. "},"Lean.Elab.Term.CollectPatternVars.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.State.found":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L42-L42","name":"Lean.Elab.Term.CollectPatternVars.State.found","line":42,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State.found","doc":"Pattern variables found so far. "},"Lean.Elab.Term.CollectPatternVars.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L40-L45","name":"Lean.Elab.Term.CollectPatternVars.State","line":40,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.State","doc":"State for the pattern variable collector monad. "},"Lean.Elab.Term.CollectPatternVars.M":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L47-L47","name":"Lean.Elab.Term.CollectPatternVars.M","line":47,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.M","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L70-L70","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDecls","line":70,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDecls","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L71-L71","name":"Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","line":71,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.paramDeclIdx","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.newArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L74-L74","name":"Lean.Elab.Term.CollectPatternVars.Context.newArgs","line":74,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.newArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.namedArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L72-L72","name":"Lean.Elab.Term.CollectPatternVars.Context.namedArgs","line":72,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.namedArgs","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L1-L1","name":"Lean.Elab.Term.CollectPatternVars.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.mk","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.funId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L66-L66","name":"Lean.Elab.Term.CollectPatternVars.Context.funId","line":66,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.funId","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.explicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L68-L68","name":"Lean.Elab.Term.CollectPatternVars.Context.explicit","line":68,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.explicit","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ellipsis":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L69-L69","name":"Lean.Elab.Term.CollectPatternVars.Context.ellipsis","line":69,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ellipsis","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L67-L67","name":"Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","line":67,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.ctorVal?","doc":""},"Lean.Elab.Term.CollectPatternVars.Context.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L73-L73","name":"Lean.Elab.Term.CollectPatternVars.Context.args","line":73,"kind":"def","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context.args","doc":""},"Lean.Elab.Term.CollectPatternVars.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PatternVar.lean#L65-L75","name":"Lean.Elab.Term.CollectPatternVars.Context","line":65,"kind":"structure","docLink":"./Lean/Elab/PatternVar.html#Lean.Elab.Term.CollectPatternVars.Context","doc":""},"Lean.Elab.Term.BinderView.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L57-L57","name":"Lean.Elab.Term.BinderView.type","line":57,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.type","doc":""},"Lean.Elab.Term.BinderView.ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L55-L55","name":"Lean.Elab.Term.BinderView.ref","line":55,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.ref","doc":"Position 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The fresh identifier\nhas synthetic position since it was not written by the user, and we would not get\nhover information for the `_` because we also don't have this macro expansion step\nstored in the info tree. Thus, we store the original `Syntax` in `ref`, and use\nit when storing the binder information in the info tree.\n\nPotential better solution: add a binder syntax category, an extensible `elabBinder`\n(like we have `elabTerm`), and perform all macro expansion steps at `elabBinder` and\nrecord them in the infro tree.\n"},"Lean.Elab.Term.BinderView.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L1-L1","name":"Lean.Elab.Term.BinderView.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.mk","doc":""},"Lean.Elab.Term.BinderView.id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L56-L56","name":"Lean.Elab.Term.BinderView.id","line":56,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.id","doc":""},"Lean.Elab.Term.BinderView.bi":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L58-L58","name":"Lean.Elab.Term.BinderView.bi","line":58,"kind":"def","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView.bi","doc":""},"Lean.Elab.Term.BinderView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Binders.lean#L41-L58","name":"Lean.Elab.Term.BinderView","line":41,"kind":"structure","docLink":"./Lean/Elab/Binders.html#Lean.Elab.Term.BinderView","doc":"Auxiliary datatype for elaborating binders. "},"Lean.Elab.Term.Arg.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L14-L14","name":"Lean.Elab.Term.Arg.stx","line":14,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.stx","doc":""},"Lean.Elab.Term.Arg.expr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L15-L15","name":"Lean.Elab.Term.Arg.expr","line":15,"kind":"ctor","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg.expr","doc":""},"Lean.Elab.Term.Arg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Arg.lean#L13-L16","name":"Lean.Elab.Term.Arg","line":13,"kind":"inductive","docLink":"./Lean/Elab/Arg.html#Lean.Elab.Term.Arg","doc":"Auxiliary inductive datatype for combining unelaborated syntax\nand already elaborated expressions. It is used to elaborate applications. "},"Lean.Elab.TacticInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.TacticInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mk","doc":""},"Lean.Elab.TacticInfo.mctxBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L81-L81","name":"Lean.Elab.TacticInfo.mctxBefore","line":81,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxBefore","doc":""},"Lean.Elab.TacticInfo.mctxAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L83-L83","name":"Lean.Elab.TacticInfo.mctxAfter","line":83,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.mctxAfter","doc":""},"Lean.Elab.TacticInfo.goalsBefore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L82-L82","name":"Lean.Elab.TacticInfo.goalsBefore","line":82,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsBefore","doc":""},"Lean.Elab.TacticInfo.goalsAfter":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L84-L84","name":"Lean.Elab.TacticInfo.goalsAfter","line":84,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo.goalsAfter","doc":""},"Lean.Elab.TacticInfo.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L132-L137","name":"Lean.Elab.TacticInfo.format","line":132,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.TacticInfo.format","doc":""},"Lean.Elab.TacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L80-L85","name":"Lean.Elab.TacticInfo","line":80,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.TacticInfo","doc":"The information needed to render the tactic state in the infoview.\n\nWe store the list of goals before and after the execution of a tactic.\nWe also store the metavariable context at each time since we want metavariables\nunassigned at tactic execution time to be displayed as `?m...`. "},"Lean.Elab.Tactic.withoutRecover":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L255-L256","name":"Lean.Elab.Tactic.withoutRecover","line":255,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withoutRecover","doc":"Execute `x` with error recovery disabled "},"Lean.Elab.Tactic.withTacticInfoContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L125-L126","name":"Lean.Elab.Tactic.withTacticInfoContext","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withTacticInfoContext","doc":""},"Lean.Elab.Tactic.withRWRulesSeq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L48-L50","name":"Lean.Elab.Tactic.withRWRulesSeq.go","line":48,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq.go","doc":""},"Lean.Elab.Tactic.withRWRulesSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L29-L56","name":"Lean.Elab.Tactic.withRWRulesSeq","line":29,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.withRWRulesSeq","doc":""},"Lean.Elab.Tactic.withMainContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L324-L325","name":"Lean.Elab.Tactic.withMainContext","line":324,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMainContext","doc":"Execute `x` using the main goal local context and instances "},"Lean.Elab.Tactic.withMacroExpansion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L279-L281","name":"Lean.Elab.Tactic.withMacroExpansion","line":279,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withMacroExpansion","doc":"Elaborate `x` with `stx` on the macro stack "},"Lean.Elab.Tactic.withLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Location.lean#L45-L63","name":"Lean.Elab.Tactic.withLocation","line":45,"kind":"def","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.withLocation","doc":"Runs the given `atLocal` and `atTarget` methods on each of the locations selected by the given `loc`.\nIf any of the selected tactic applications fail, it will call `failed` with the main goal mvar.\n "},"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L121-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom.go","doc":""},"Lean.Elab.Tactic.withCollectingNewGoalsFrom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L92-L143","name":"Lean.Elab.Tactic.withCollectingNewGoalsFrom","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.withCollectingNewGoalsFrom","doc":"Execute `k`, and collect new \"holes\" in the resulting expression.\n"},"Lean.Elab.Tactic.withCaseRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L417-L418","name":"Lean.Elab.Tactic.withCaseRef","line":417,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.withCaseRef","doc":"Use position of `=> $body` for error messages.\nIf there is a line break before `body`, the message will be displayed on `=>` only,\nbut the \"full range\" for the info view will still include `body`. "},"Lean.Elab.Tactic.unfoldTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Unfold.lean#L16-L17","name":"Lean.Elab.Tactic.unfoldTarget","line":16,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldTarget","doc":""},"Lean.Elab.Tactic.unfoldLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Unfold.lean#L13-L14","name":"Lean.Elab.Tactic.unfoldLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Unfold.html#Lean.Elab.Tactic.unfoldLocalDecl","doc":""},"Lean.Elab.Tactic.tryTactic?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L375-L379","name":"Lean.Elab.Tactic.tryTactic?","line":375,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic?","doc":""},"Lean.Elab.Tactic.tryTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L381-L386","name":"Lean.Elab.Tactic.tryTactic","line":381,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryTactic","doc":""},"Lean.Elab.Tactic.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L246-L248","name":"Lean.Elab.Tactic.tryCatch","line":246,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tryCatch","doc":""},"Lean.Elab.Tactic.traceSimpCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L252-L285","name":"Lean.Elab.Tactic.traceSimpCall","line":252,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.traceSimpCall","doc":""},"Lean.Elab.Tactic.throwNoGoalsToBeSolved":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L204-L205","name":"Lean.Elab.Tactic.throwNoGoalsToBeSolved","line":204,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.throwNoGoalsToBeSolved","doc":""},"Lean.Elab.Tactic.tagUntaggedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L391-L407","name":"Lean.Elab.Tactic.tagUntaggedGoals","line":391,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tagUntaggedGoals","doc":"Use `parentTag` to tag untagged goals at `newGoals`.\nIf there are multiple new untagged goals, they are named using `._` where `idx > 0`.\nIf there is only one new untagged goal, then we just use `parentTag` "},"Lean.Elab.Tactic.tacticToDischarge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L36-L59","name":"Lean.Elab.Tactic.tacticToDischarge","line":36,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tacticToDischarge","doc":"Implement a `simp` discharge function using the given tactic syntax code.\nRecall that `simp` dischargers are in `SimpM` which does not have access to `Term.State`.\nWe need access to `Term.State` to store messages and update the info tree.\nThus, we create an `IO.ref` to track these changes at `Term.State` when we execute `tacticCode`.\nWe must set this reference with the current `Term.State` before we execute `simp` using the\ngenerated `Simp.Discharge`. "},"Lean.Elab.Tactic.tacticElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L108-L108","name":"Lean.Elab.Tactic.tacticElabAttribute","line":108,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.tacticElabAttribute","doc":""},"Lean.Elab.Tactic.tactic.simp.trace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L247-L250","name":"Lean.Elab.Tactic.tactic.simp.trace","line":247,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.tactic.simp.trace","doc":""},"Lean.Elab.Tactic.tactic.dbg_cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Cache.lean#L26-L30","name":"Lean.Elab.Tactic.tactic.dbg_cache","line":26,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Cache.html#Lean.Elab.Tactic.tactic.dbg_cache","doc":""},"Lean.Elab.Tactic.sortMVarIdsByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L86-L87","name":"Lean.Elab.Tactic.sortMVarIdsByIndex","line":86,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdsByIndex","doc":""},"Lean.Elab.Tactic.sortMVarIdArrayByIndex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L76-L84","name":"Lean.Elab.Tactic.sortMVarIdArrayByIndex","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.sortMVarIdArrayByIndex","doc":""},"Lean.Elab.Tactic.simpOnlyBuiltins":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L206-L206","name":"Lean.Elab.Tactic.simpOnlyBuiltins","line":206,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpOnlyBuiltins","doc":""},"Lean.Elab.Tactic.simpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L311-L317","name":"Lean.Elab.Tactic.simpLocation.go","line":311,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation.go","doc":""},"Lean.Elab.Tactic.simpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L301-L317","name":"Lean.Elab.Tactic.simpLocation","line":301,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.simpLocation","doc":"`simpLocation ctx discharge? varIdToLemmaId loc`\nruns the simplifier at locations specified by `loc`,\nusing the simp theorems collected in `ctx`\noptionally running a discharger specified in `discharge?` on generated subgoals.\n\nIts primary use is as the implementation of the\n`simp [...] at ...` and `simp only [...] at ...` syntaxes,\nbut can also be used by other tactics when a `Syntax` is not available.\n\nFor many tactics other than the simplifier,\none should use the `withLocation` tactic combinator\nwhen working with a `location`.\n"},"Lean.Elab.Tactic.setGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L57-L58","name":"Lean.Elab.Tactic.setGoals","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.setGoals","doc":""},"Lean.Elab.Tactic.saveTacticInfoForToken":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L273-L275","name":"Lean.Elab.Tactic.saveTacticInfoForToken","line":273,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveTacticInfoForToken","doc":"Save the current tactic state for a token `stx`.\nThis method is a no-op if `stx` has no position information.\nWe use this method to save the tactic state at punctuation such as `;`\n"},"Lean.Elab.Tactic.saveState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L95-L96","name":"Lean.Elab.Tactic.saveState","line":95,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.saveState","doc":""},"Lean.Elab.Tactic.runTermElab.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L31-L31","name":"Lean.Elab.Tactic.runTermElab.go","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab.go","doc":""},"Lean.Elab.Tactic.runTermElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L24-L31","name":"Lean.Elab.Tactic.runTermElab","line":24,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.runTermElab","doc":"Runs a term elaborator inside a tactic.\n\nThis function ensures that term elaboration fails when backtracking,\ni.e., in `first| tac term | other`.\n"},"Lean.Elab.Tactic.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L75-L93","name":"Lean.Elab.Tactic.run","line":75,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.run","doc":""},"Lean.Elab.Tactic.rewriteTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L14-L19","name":"Lean.Elab.Tactic.rewriteTarget","line":14,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteTarget","doc":""},"Lean.Elab.Tactic.rewriteLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Rewrite.lean#L21-L27","name":"Lean.Elab.Tactic.rewriteLocalDecl","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Rewrite.html#Lean.Elab.Tactic.rewriteLocalDecl","doc":""},"Lean.Elab.Tactic.replaceMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L294-L296","name":"Lean.Elab.Tactic.replaceMainGoal","line":294,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.replaceMainGoal","doc":"Discard the first goal and replace it by the given list of goals,\nkeeping the other goals. "},"Lean.Elab.Tactic.renameInaccessibles":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/BuiltinTactic.lean#L335-L366","name":"Lean.Elab.Tactic.renameInaccessibles","line":335,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.renameInaccessibles","doc":""},"Lean.Elab.Tactic.refineCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L152-L161","name":"Lean.Elab.Tactic.refineCore","line":152,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.refineCore","doc":"If `allowNaturalHoles == true`, then we allow the resultant expression to contain unassigned \"natural\" metavariables.\nRecall that \"natutal\" metavariables are created for explicit holes `_` and implicit arguments. They are meant to be\nfilled by typing constraints.\n\"Synthetic\" metavariables are meant to be filled by tactics and are usually created using the synthetic hole notation `?`. "},"Lean.Elab.Tactic.pruneSolvedGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L60-L63","name":"Lean.Elab.Tactic.pruneSolvedGoals","line":60,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.pruneSolvedGoals","doc":""},"Lean.Elab.Tactic.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L258-L259","name":"Lean.Elab.Tactic.orElse","line":258,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.orElse","doc":""},"Lean.Elab.Tactic.mkTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L110-L118","name":"Lean.Elab.Tactic.mkTacticInfo","line":110,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticInfo","doc":""},"Lean.Elab.Tactic.mkTacticAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L105-L106","name":"Lean.Elab.Tactic.mkTacticAttribute","line":105,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.mkTacticAttribute","doc":""},"Lean.Elab.Tactic.mkSimpContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L218-L245","name":"Lean.Elab.Tactic.mkSimpContext","line":218,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.mkSimpContext","doc":"Create the `Simp.Context` for the `simp`, `dsimp`, and `simp_all` tactics.\nIf `kind != SimpKind.simp`, the `discharge` option must be `none`\n\nTODO: generate error message if non `rfl` theorems are provided as arguments to 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If it a free variable, return it. Otherwise, assert it, and return the free variable.\nNote that, the main goal is updated when `Meta.assert` is used in the second case. "},"Lean.Elab.Tactic.dsimpLocation.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L348-L355","name":"Lean.Elab.Tactic.dsimpLocation.go","line":348,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation.go","doc":""},"Lean.Elab.Tactic.dsimpLocation":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L338-L355","name":"Lean.Elab.Tactic.dsimpLocation","line":338,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.dsimpLocation","doc":""},"Lean.Elab.Tactic.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L207-L211","name":"Lean.Elab.Tactic.done","line":207,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.done","doc":""},"Lean.Elab.Tactic.deltaTarget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Delta.lean#L21-L27","name":"Lean.Elab.Tactic.deltaTarget","line":21,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaTarget","doc":""},"Lean.Elab.Tactic.deltaLocalDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Delta.lean#L13-L19","name":"Lean.Elab.Tactic.deltaLocalDecl","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Delta.html#Lean.Elab.Tactic.deltaLocalDecl","doc":""},"Lean.Elab.Tactic.configElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Config.lean#L13-L27","name":"Lean.Elab.Tactic.configElab","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.configElab","doc":""},"Lean.Elab.Tactic.closeUsingOrAdmit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L228-L240","name":"Lean.Elab.Tactic.closeUsingOrAdmit","line":228,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeUsingOrAdmit","doc":"Close the main goal using the given tactic. If it fails, log the error and `admit` "},"Lean.Elab.Tactic.closeMainGoalUsing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/ElabTerm.lean#L55-L57","name":"Lean.Elab.Tactic.closeMainGoalUsing","line":55,"kind":"def","docLink":"./Lean/Elab/Tactic/ElabTerm.html#Lean.Elab.Tactic.closeMainGoalUsing","doc":"Try to close main goal using `x target`, where `target` is the type of the main goal. "},"Lean.Elab.Tactic.closeMainGoal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L346-L350","name":"Lean.Elab.Tactic.closeMainGoal","line":346,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.closeMainGoal","doc":"Close main goal using the given expression. If `checkUnassigned == true`, then `val` must not contain unassigned metavariables. "},"Lean.Elab.Tactic.checkConfigElab":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Config.lean#L31-L31","name":"Lean.Elab.Tactic.checkConfigElab","line":31,"kind":"def","docLink":"./Lean/Elab/Tactic/Config.html#Lean.Elab.Tactic.checkConfigElab","doc":""},"Lean.Elab.Tactic.appendGoals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L289-L290","name":"Lean.Elab.Tactic.appendGoals","line":289,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.appendGoals","doc":"Add the given goals at the end of the current goals collection. "},"Lean.Elab.Tactic.addCheckpoints":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/BuiltinTactic.lean#L71-L100","name":"Lean.Elab.Tactic.addCheckpoints","line":71,"kind":"def","docLink":"./Lean/Elab/Tactic/BuiltinTactic.html#Lean.Elab.Tactic.addCheckpoints","doc":"Takes a `sepByIndent tactic \"; \"`, and inserts `checkpoint` blocks for `save` tactics.\n\nInput:\n```\n a\n b\n save\n c\n d\n save\n e\n```\n\nOutput:\n```\n checkpoint\n a\n b\n save\n checkpoint\n c\n d\n save\n e\n```\n"},"Lean.Elab.Tactic.adaptExpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L284-L286","name":"Lean.Elab.Tactic.adaptExpander","line":284,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.adaptExpander","doc":"Adapt a syntax transformation to a regular tactic evaluator. "},"Lean.Elab.Tactic.TacticM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L40-L40","name":"Lean.Elab.Tactic.TacticM","line":40,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.TacticM","doc":""},"Lean.Elab.Tactic.Tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L41-L41","name":"Lean.Elab.Tactic.Tactic","line":41,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Tactic","doc":""},"Lean.Elab.Tactic.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.mk","doc":""},"Lean.Elab.Tactic.State.goals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L119-L119","name":"Lean.Elab.Tactic.State.goals","line":119,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State.goals","doc":""},"Lean.Elab.Tactic.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L118-L120","name":"Lean.Elab.Tactic.State","line":118,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.State","doc":"State of the `TacticM` monad.\n"},"Lean.Elab.Tactic.Snapshot.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L131-L131","name":"Lean.Elab.Tactic.Snapshot.term","line":131,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.term","doc":""},"Lean.Elab.Tactic.Snapshot.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L132-L132","name":"Lean.Elab.Tactic.Snapshot.tactic","line":132,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.tactic","doc":""},"Lean.Elab.Tactic.Snapshot.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L133-L133","name":"Lean.Elab.Tactic.Snapshot.stx","line":133,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.stx","doc":""},"Lean.Elab.Tactic.Snapshot.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Snapshot.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.mk","doc":""},"Lean.Elab.Tactic.Snapshot.meta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L130-L130","name":"Lean.Elab.Tactic.Snapshot.meta","line":130,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.meta","doc":""},"Lean.Elab.Tactic.Snapshot.core":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L129-L129","name":"Lean.Elab.Tactic.Snapshot.core","line":129,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot.core","doc":""},"Lean.Elab.Tactic.Snapshot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L128-L133","name":"Lean.Elab.Tactic.Snapshot","line":128,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Snapshot","doc":"Snapshots are used to implement the `save` tactic.\nThis tactic caches the state of the system, and allows us to \"replay\"\nexpensive proofs efficiently. This is only relevant implementing the\nLSP server.\n"},"Lean.Elab.Tactic.SimpKind.simpAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L25-L25","name":"Lean.Elab.Tactic.SimpKind.simpAll","line":25,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simpAll","doc":""},"Lean.Elab.Tactic.SimpKind.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L24-L24","name":"Lean.Elab.Tactic.SimpKind.simp","line":24,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.simp","doc":""},"Lean.Elab.Tactic.SimpKind.dsimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L26-L26","name":"Lean.Elab.Tactic.SimpKind.dsimp","line":26,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind.dsimp","doc":""},"Lean.Elab.Tactic.SimpKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L23-L27","name":"Lean.Elab.Tactic.SimpKind","line":23,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.SimpKind","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.with":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L65-L73","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.with","line":65,"kind":"def","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.with","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L62-L62","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.default","line":62,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.default","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper.custom":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L63-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper.custom","line":63,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper.custom","doc":""},"Lean.Elab.Tactic.Simp.DischargeWrapper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L61-L63","name":"Lean.Elab.Tactic.Simp.DischargeWrapper","line":61,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.Simp.DischargeWrapper","doc":""},"Lean.Elab.Tactic.SavedState.term":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L37-L37","name":"Lean.Elab.Tactic.SavedState.term","line":37,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.term","doc":""},"Lean.Elab.Tactic.SavedState.tactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L38-L38","name":"Lean.Elab.Tactic.SavedState.tactic","line":38,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.tactic","doc":""},"Lean.Elab.Tactic.SavedState.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L98-L100","name":"Lean.Elab.Tactic.SavedState.restore","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.restore","doc":""},"Lean.Elab.Tactic.SavedState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.SavedState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState.mk","doc":""},"Lean.Elab.Tactic.SavedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L36-L38","name":"Lean.Elab.Tactic.SavedState","line":36,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.SavedState","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.none":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L125-L125","name":"Lean.Elab.Tactic.ResolveSimpIdResult.none","line":125,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResult.none","doc":""},"Lean.Elab.Tactic.ResolveSimpIdResult.ext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Simp.lean#L127-L127","name":"Lean.Elab.Tactic.ResolveSimpIdResult.ext","line":127,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Simp.html#Lean.Elab.Tactic.ResolveSimpIdResul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"},"Lean.Elab.Tactic.Location.targets":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Location.lean#L15-L17","name":"Lean.Elab.Tactic.Location.targets","line":15,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location.targets","doc":"`hypotheses` are hypothesis names in the main goal that the tactic should be applied to.\nIf `type` is true, then the tactic should also be applied to the target type. "},"Lean.Elab.Tactic.Location":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Location.lean#L12-L17","name":"Lean.Elab.Tactic.Location","line":12,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Location.html#Lean.Elab.Tactic.Location","doc":"Denotes a set of locations where a tactic should be applied for the main goal. See also `withLocation`. "},"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Congr.lean#L12-L18","name":"Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Congr.html#Lean.Elab.Tactic.Lean.Elab.Tactic.evalCongr","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.state":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L140-L140","name":"Lean.Elab.Tactic.EvalTacticFailure.state","line":140,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.state","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.EvalTacticFailure.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.mk","doc":""},"Lean.Elab.Tactic.EvalTacticFailure.exception":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L139-L139","name":"Lean.Elab.Tactic.EvalTacticFailure.exception","line":139,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure.exception","doc":""},"Lean.Elab.Tactic.EvalTacticFailure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L138-L140","name":"Lean.Elab.Tactic.EvalTacticFailure","line":138,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.EvalTacticFailure","doc":"Auxiliary datastructure for capturing exceptions at `evalTactic`.\n"},"Lean.Elab.Tactic.ElimApp.setMotiveArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L186-L193","name":"Lean.Elab.Tactic.ElimApp.setMotiveArg","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.setMotiveArg","doc":"Given a goal `... targets ... |- C[targets]` associated with `mvarId`, assign\n`motiveArg := fun targets => C[targets]` "},"Lean.Elab.Tactic.ElimApp.reorderAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L251-L262","name":"Lean.Elab.Tactic.ElimApp.reorderAlts","line":251,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.reorderAlts","doc":"If `altsSyntax` is not empty we reorder `alts` using the order the alternatives have been provided\nin `altsSyntax`. Motivations:\n\n1- It improves the effectiveness of the `checkpoint` and `save` tactics. Consider the following example:\n```lean\nexample (h₁ : p ∨ q) (h₂ : p → x = 0) (h₃ : q → y = 0) : x * y = 0 := by\n cases h₁ with\n | inr h =>\n sleep 5000 -- sleeps for 5 seconds\n save\n have : y = 0 := h₃ h\n -- We can confortably work here\n | inl h => stop ...\n```\nIf we do reorder, the `inl` alternative will be executed first. Moreover, as we type in the `inr` alternative,\ntype errors will \"swallow\" the `inl` alternative and affect the tactic state at `save` making it ineffective.\n\n2- The errors are produced in the same order the appear in the code above. This is not super important when using IDEs.\n"},"Lean.Elab.Tactic.ElimApp.mkElimApp.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L130-L168","name":"Lean.Elab.Tactic.ElimApp.mkElimApp.loop","line":130,"kind":"opaque","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp.loop","doc":""},"Lean.Elab.Tactic.ElimApp.mkElimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L129-L182","name":"Lean.Elab.Tactic.ElimApp.mkElimApp","line":129,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.mkElimApp","doc":"Construct the an eliminator/recursor application. `targets` contains the explicit and implicit targets for\nthe eliminator. For example, the indices of builtin recursors are considered implicit targets.\nRemark: the method `addImplicitTargets` may be used to compute the sequence of implicit and explicit targets\nfrom the explicit ones.\n"},"Lean.Elab.Tactic.ElimApp.instInhabitedAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L89-L89","name":"Lean.Elab.Tactic.ElimApp.instInhabitedAlt","line":89,"kind":"instance","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.instInhabitedAlt","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L278-L355","name":"Lean.Elab.Tactic.ElimApp.evalAlts.go","line":278,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.go","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L356-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","line":356,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts.applyPreTac","doc":""},"Lean.Elab.Tactic.ElimApp.evalAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L264-L360","name":"Lean.Elab.Tactic.ElimApp.evalAlts","line":264,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.evalAlts","doc":""},"Lean.Elab.Tactic.ElimApp.State.targetPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L97-L97","name":"Lean.Elab.Tactic.ElimApp.State.targetPos","line":97,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.targetPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.mk","doc":""},"Lean.Elab.Tactic.ElimApp.State.insts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L101-L101","name":"Lean.Elab.Tactic.ElimApp.State.insts","line":101,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.insts","doc":""},"Lean.Elab.Tactic.ElimApp.State.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L99-L99","name":"Lean.Elab.Tactic.ElimApp.State.fType","line":99,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.fType","doc":""},"Lean.Elab.Tactic.ElimApp.State.f":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L98-L98","name":"Lean.Elab.Tactic.ElimApp.State.f","line":98,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.f","doc":""},"Lean.Elab.Tactic.ElimApp.State.argPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L96-L96","name":"Lean.Elab.Tactic.ElimApp.State.argPos","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.argPos","doc":""},"Lean.Elab.Tactic.ElimApp.State.alts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L100-L100","name":"Lean.Elab.Tactic.ElimApp.State.alts","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State.alts","doc":""},"Lean.Elab.Tactic.ElimApp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L95-L101","name":"Lean.Elab.Tactic.ElimApp.State","line":95,"kind":"structure","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.State","doc":""},"Lean.Elab.Tactic.ElimApp.Result.others":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L121-L121","name":"Lean.Elab.Tactic.ElimApp.Result.others","line":121,"kind":"def","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.others","doc":""},"Lean.Elab.Tactic.ElimApp.Result.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Induction.lean#L1-L1","name":"Lean.Elab.Tactic.ElimApp.Result.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Induction.html#Lean.Elab.Tactic.ElimApp.Result.mk","doc":""},"Lean.Elab.Tactic.ElimApp.Result.elimApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tac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nv/Basic.html#Lean.Elab.Tactic.Conv.evalSepByIndentConv","doc":"Evaluate `sepByIndent conv \"; \" "},"Lean.Elab.Tactic.Conv.evalRhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L100-L102","name":"Lean.Elab.Tactic.Conv.evalRhs","line":100,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalRhs","doc":""},"Lean.Elab.Tactic.Conv.evalRewrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Rewrite.lean#L13-L20","name":"Lean.Elab.Tactic.Conv.evalRewrite","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Rewrite.html#Lean.Elab.Tactic.Conv.evalRewrite","doc":""},"Lean.Elab.Tactic.Conv.evalReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L92-L94","name":"Lean.Elab.Tactic.Conv.evalReduce","line":92,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalReduce","doc":""},"Lean.Elab.Tactic.Conv.evalPattern":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L104-L141","name":"Lean.Elab.Tactic.Conv.evalPattern","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.evalPattern","doc":""},"Lean.Elab.Tactic.Conv.evalParen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L130-L131","name":"Lean.Elab.Tactic.Conv.evalParen","line":130,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalParen","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTacticCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L146-L148","name":"Lean.Elab.Tactic.Conv.evalNestedTacticCore","line":146,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTacticCore","doc":""},"Lean.Elab.Tactic.Conv.evalNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L150-L156","name":"Lean.Elab.Tactic.Conv.evalNestedTactic","line":150,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedTactic","doc":""},"Lean.Elab.Tactic.Conv.evalNestedConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L119-L120","name":"Lean.Elab.Tactic.Conv.evalNestedConv","line":119,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalNestedConv","doc":""},"Lean.Elab.Tactic.Conv.evalLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L96-L98","name":"Lean.Elab.Tactic.Conv.evalLhs","line":96,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalLhs","doc":""},"Lean.Elab.Tactic.Conv.evalFirst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L186-L187","name":"Lean.Elab.Tactic.Conv.evalFirst","line":186,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalFirst","doc":""},"Lean.Elab.Tactic.Conv.evalExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L177-L183","name":"Lean.Elab.Tactic.Conv.evalExt","line":177,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalExt","doc":""},"Lean.Elab.Tactic.Conv.evalDelta":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Delta.lean#L12-L15","name":"Lean.Elab.Tactic.Conv.evalDelta","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Delta.html#Lean.Elab.Tactic.Conv.evalDelta","doc":""},"Lean.Elab.Tactic.Conv.evalDSimp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Simp.lean#L28-L30","name":"Lean.Elab.Tactic.Conv.evalDSimp","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.evalDSimp","doc":""},"Lean.Elab.Tactic.Conv.evalConvTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L158-L159","name":"Lean.Elab.Tactic.Conv.evalConvTactic","line":158,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvTactic","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeqBracketed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L111-L117","name":"Lean.Elab.Tactic.Conv.evalConvSeqBracketed","line":111,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeqBracketed","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq1Indented":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L108-L109","name":"Lean.Elab.Tactic.Conv.evalConvSeq1Indented","line":108,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq1Indented","doc":""},"Lean.Elab.Tactic.Conv.evalConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L122-L123","name":"Lean.Elab.Tactic.Conv.evalConvSeq","line":122,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConvConvSeq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L125-L128","name":"Lean.Elab.Tactic.Conv.evalConvConvSeq","line":125,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConvConvSeq","doc":""},"Lean.Elab.Tactic.Conv.evalConv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L173-L184","name":"Lean.Elab.Tactic.Conv.evalConv","line":173,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.evalConv","doc":""},"Lean.Elab.Tactic.Conv.evalCongr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L74-L75","name":"Lean.Elab.Tactic.Conv.evalCongr","line":74,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalCongr","doc":""},"Lean.Elab.Tactic.Conv.evalChange":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Change.lean#L12-L22","name":"Lean.Elab.Tactic.Conv.evalChange","line":12,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Change.html#Lean.Elab.Tactic.Conv.evalChange","doc":""},"Lean.Elab.Tactic.Conv.evalArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L104-L113","name":"Lean.Elab.Tactic.Conv.evalArg","line":104,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.evalArg","doc":""},"Lean.Elab.Tactic.Conv.convert":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L44-L58","name":"Lean.Elab.Tactic.Conv.convert","line":44,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.convert","doc":"Given `lhs`, runs the `conv` tactic with the goal `⊢ lhs = ?rhs`.\n`conv` should produce no remaining goals that are not solvable with refl.\nReturns a pair of instantiated expressions `(?rhs, ?p)` where `?p : lhs = ?rhs`. "},"Lean.Elab.Tactic.Conv.congr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Congr.lean#L25-L72","name":"Lean.Elab.Tactic.Conv.congr","line":25,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Congr.html#Lean.Elab.Tactic.Conv.congr","doc":""},"Lean.Elab.Tactic.Conv.changeLhs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Basic.lean#L83-L86","name":"Lean.Elab.Tactic.Conv.changeLhs","line":83,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Basic.html#Lean.Elab.Tactic.Conv.changeLhs","doc":"Replace `lhs` with the definitionally equal `lhs'`. "},"Lean.Elab.Tactic.Conv.applySimpResult":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Simp.lean#L13-L17","name":"Lean.Elab.Tactic.Conv.applySimpResult","line":13,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Simp.html#Lean.Elab.Tactic.Conv.applySimpResult","doc":""},"Lean.Elab.Tactic.Conv.PatternMatchState.skip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L68-L70","name":"Lean.Elab.Tactic.Conv.PatternMatchState.skip","line":68,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.skip","doc":"Assuming `isReady` returned false, this advances to the next match. "},"Lean.Elab.Tactic.Conv.PatternMatchState.occs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L43-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState.occs","line":43,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.occs","doc":"The state corresponding to a partially consumed `(occs := a₁ a₂ ...)` pattern.\n* `subgoals` is the list of subgoals for patterns already matched,\n along with their index in the original occs list\n* `idx` is the number of matches that have occurred so far\n* `remaining` is a list of `(i, orig)` pairs representing matches we have not yet reached.\n We maintain the invariant that `idx :: remaining.map (·.1)` is sorted.\n The number `i` is the value in the `occs` list and `orig` is its index in the list.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.isReady":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L62-L65","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isReady","line":62,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isReady","doc":"Is this pattern interested in accepting the next match? "},"Lean.Elab.Tactic.Conv.PatternMatchState.isDone":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L57-L59","name":"Lean.Elab.Tactic.Conv.PatternMatchState.isDone","line":57,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.isDone","doc":"Is this pattern no longer interested in accepting matches? "},"Lean.Elab.Tactic.Conv.PatternMatchState.all":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L37-L42","name":"Lean.Elab.Tactic.Conv.PatternMatchState.all","line":37,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.all","doc":"The state corresponding to a `(occs := *)` pattern, which acts like `occs := 1 2 ... n` where\n`n` is the total number of pattern matches.\n* `subgoals` is the list of subgoals for patterns already matched\n"},"Lean.Elab.Tactic.Conv.PatternMatchState.accept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L76-L79","name":"Lean.Elab.Tactic.Conv.PatternMatchState.accept","line":76,"kind":"def","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState.accept","doc":"Assuming `isReady` returned true, this adds the generated subgoal to the list\nand advances to the next match.\n"},"Lean.Elab.Tactic.Conv.PatternMatchState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Conv/Pattern.lean#L36-L52","name":"Lean.Elab.Tactic.Conv.PatternMatchState","line":36,"kind":"inductive","docLink":"./Lean/Elab/Tactic/Conv/Pattern.html#Lean.Elab.Tactic.Conv.PatternMatchState","doc":""},"Lean.Elab.Tactic.Context.recover":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L34-L34","name":"Lean.Elab.Tactic.Context.recover","line":34,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.recover","doc":"If `true`, enable \"error recovery\" in some tactics. For example, `cases` tactic\nadmits unsolved alternatives when `recover == true`. The combinator `withoutRecover ` disables\n\"error recovery\" while executing ``. This is useful for tactics such as `first | ... | ...`.\n"},"Lean.Elab.Tactic.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L1-L1","name":"Lean.Elab.Tactic.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.mk","doc":""},"Lean.Elab.Tactic.Context.elaborator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L28-L28","name":"Lean.Elab.Tactic.Context.elaborator","line":28,"kind":"def","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context.elaborator","doc":"Declaration name of the executing elaborator, used by `mkTacticInfo` to persist it in the info tree "},"Lean.Elab.Tactic.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Tactic/Basic.lean#L26-L34","name":"Lean.Elab.Tactic.Context","line":26,"kind":"structure","docLink":"./Lean/Elab/Tactic/Basic.html#Lean.Elab.Tactic.Context","doc":""},"Lean.Elab.Tactic.CacheKey.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L140-L140","name":"Lean.Elab.Tactic.CacheKey.pos","line":140,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.pos","doc":""},"Lean.Elab.Tactic.CacheKey.mvarId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L139-L139","name":"Lean.Elab.Tactic.CacheKey.mvarId","line":139,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mvarId","doc":""},"Lean.Elab.Tactic.CacheKey.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.CacheKey.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey.mk","doc":""},"Lean.Elab.Tactic.CacheKey":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L138-L141","name":"Lean.Elab.Tactic.CacheKey","line":138,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.CacheKey","doc":"Key for the cache used to implement the `save` tactic.\n"},"Lean.Elab.Tactic.Cache.pre":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L147-L147","name":"Lean.Elab.Tactic.Cache.pre","line":147,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.pre","doc":""},"Lean.Elab.Tactic.Cache.post":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L148-L148","name":"Lean.Elab.Tactic.Cache.post","line":148,"kind":"def","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.post","doc":""},"Lean.Elab.Tactic.Cache.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L1-L1","name":"Lean.Elab.Tactic.Cache.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache.mk","doc":""},"Lean.Elab.Tactic.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Term.lean#L146-L149","name":"Lean.Elab.Tactic.Cache","line":146,"kind":"structure","docLink":"./Lean/Elab/Term.html#Lean.Elab.Tactic.Cache","doc":"Cache for the `save` tactic.\n"},"Lean.Elab.Structural.structuralRecursion":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Main.lean#L80-L100","name":"Lean.Elab.Structural.structuralRecursion","line":80,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Main.html#Lean.Elab.Structural.structuralRecursion","doc":""},"Lean.Elab.Structural.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L49-L50","name":"Lean.Elab.Structural.run","line":49,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.run","doc":""},"Lean.Elab.Structural.registerEqnsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L82-L83","name":"Lean.Elab.Structural.registerEqnsInfo","line":82,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.registerEqnsInfo","doc":""},"Lean.Elab.Structural.refinedArgType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L90-L98","name":"Lean.Elab.Structural.refinedArgType","line":90,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.refinedArgType","doc":"This method is used after `matcherApp.addArg arg` to check whether the new type of `arg` has been \"refined/modified\"\nin at least one alternative.\n"},"Lean.Elab.Structural.recArgHasLooseBVarsAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L61-L64","name":"Lean.Elab.Structural.recArgHasLooseBVarsAt","line":61,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.recArgHasLooseBVarsAt","doc":"Return true iff `e` contains an application `recFnName .. t ..` where the term `t` is\nthe argument we are trying to recurse on, and it contains loose bound variables.\n\nWe use this test to decide whether we should process a matcher-application as a regular\napplicaton or not. That is, whether we should push the `below` argument should be affected by the matcher or not.\nIf `e` does not contain an application of the form `recFnName .. t ..`, then we know\nthe recursion doesn't depend on any pattern variable in this matcher.\n"},"Lean.Elab.Structural.preprocess":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Preprocess.lean#L27-L33","name":"Lean.Elab.Structural.preprocess","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Preprocess.html#Lean.Elab.Structural.preprocess","doc":"Beta reduce terms where the recursive function occurs in the lambda term.\nThis is useful to improve the effectiveness of `elimRecursion`.\nExample:\n```\ndef f : Nat → Nat\n | 0 => 1\n | i+1 => (fun x => f x) i\n```\n"},"Lean.Elab.Structural.mkIndPredBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/IndPred.lean#L64-L97","name":"Lean.Elab.Structural.mkIndPredBRecOn","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/IndPred.html#Lean.Elab.Structural.mkIndPredBRecOn","doc":""},"Lean.Elab.Structural.mkEqns":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L58-L78","name":"Lean.Elab.Structural.mkEqns","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.mkEqns","doc":""},"Lean.Elab.Structural.mkBRecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/BRecOn.lean#L199-L239","name":"Lean.Elab.Structural.mkBRecOn","line":199,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/BRecOn.html#Lean.Elab.Structural.mkBRecOn","doc":""},"Lean.Elab.Structural.instInhabitedM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L46-L47","name":"Lean.Elab.Structural.instInhabitedM","line":46,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.instInhabitedM","doc":""},"Lean.Elab.Structural.instInhabitedEqnInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L22-L22","name":"Lean.Elab.Structural.instInhabitedEqnInfo","line":22,"kind":"instance","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.instInhabitedEqnInfo","doc":""},"Lean.Elab.Structural.getUnfoldFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L91-L93","name":"Lean.Elab.Structural.getUnfoldFor?","line":91,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getUnfoldFor?","doc":""},"Lean.Elab.Structural.getStructuralRecArgPosImp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L96-L98","name":"Lean.Elab.Structural.getStructuralRecArgPosImp?","line":96,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getStructuralRecArgPosImp?","doc":""},"Lean.Elab.Structural.getEqnsFor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L85-L89","name":"Lean.Elab.Structural.getEqnsFor?","line":85,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.getEqnsFor?","doc":""},"Lean.Elab.Structural.findRecArg.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L74-L137","name":"Lean.Elab.Structural.findRecArg.go","line":74,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg.go","doc":""},"Lean.Elab.Structural.findRecArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/FindRecArg.lean#L58-L139","name":"Lean.Elab.Structural.findRecArg","line":58,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/FindRecArg.html#Lean.Elab.Structural.findRecArg","doc":"Try to find an argument that is structurally smaller in every recursive application.\nWe use this argument to justify termination using the auxiliary `brecOn` construction.\n\nWe give preference for arguments that are *not* indices of inductive types of other arguments.\nSee issue #837 for an example where we can show termination using the index of an inductive family, but\nwe don't get the desired definitional equalities.\n\nWe perform two passes. In the first-pass, we only consider arguments that are not indices.\nIn the second pass, we consider them.\n\nTODO: explore whether there are better solutions, and whether there are other ways to break the heuristic used\nfor creating the smart unfolding auxiliary definition.\n"},"Lean.Elab.Structural.eqnInfoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Eqns.lean#L80-L80","name":"Lean.Elab.Structural.eqnInfoExt","line":80,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/Eqns.html#Lean.Elab.Structural.eqnInfoExt","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L29-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","line":29,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux.visit","doc":"Auxiliary method for annotating `match`-alternatives with `markSmartUnfoldingMatch` and `markSmartUnfoldingMatchAlt`.\n\nIt uses the following approach:\n- Whenever it finds a `match` application `e` s.t. `recArgHasLooseBVarsAt preDef.declName recArgPos e`,\n it marks the `match` with `markSmartUnfoldingMatch`, and each alternative that does not contain a nested marked `match`\n is marked with `markSmartUnfoldingMatchAlt`.\n\nRecall that the condition `recArgHasLooseBVarsAt preDef.declName recArgPos e` is the one used at `mkBRecOn`.\n"},"Lean.Elab.Structural.addSmartUnfoldingDefAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L12-L62","name":"Lean.Elab.Structural.addSmartUnfoldingDefAux","line":12,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDefAux","doc":""},"Lean.Elab.Structural.addSmartUnfoldingDef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean#L64-L70","name":"Lean.Elab.Structural.addSmartUnfoldingDef","line":64,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/SmartUnfolding.html#Lean.Elab.Structural.addSmartUnfoldingDef","doc":""},"Lean.Elab.Structural.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.mk","doc":""},"Lean.Elab.Structural.State.addMatchers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L42-L42","name":"Lean.Elab.Structural.State.addMatchers","line":42,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State.addMatchers","doc":"As part of the inductive predicates case, we keep adding more and more discriminants from the\nlocal context and build up a bigger matcher application until we reach a fixed point.\nAs a side-effect, this creates matchers. Here we capture all these side-effects, because\nthe construction rolls back any changes done to the environment and the side-effects\nneed to be replayed. "},"Lean.Elab.Structural.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L36-L42","name":"Lean.Elab.Structural.State","line":36,"kind":"structure","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.State","doc":""},"Lean.Elab.Structural.RecArgInfo.ys":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L15-L15","name":"Lean.Elab.Structural.RecArgInfo.ys","line":15,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.ys","doc":"recursion arguments "},"Lean.Elab.Structural.RecArgInfo.reflexive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L29-L29","name":"Lean.Elab.Structural.RecArgInfo.reflexive","line":29,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.reflexive","doc":"true if we are recursing over a reflexive inductive datatype "},"Lean.Elab.Structural.RecArgInfo.recArgPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L33-L34","name":"Lean.Elab.Structural.RecArgInfo.recArgPos","line":33,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.recArgPos","doc":""},"Lean.Elab.Structural.RecArgInfo.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L17-L17","name":"Lean.Elab.Structural.RecArgInfo.pos","line":17,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.pos","doc":"position in `ys` of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L1-L1","name":"Lean.Elab.Structural.RecArgInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.mk","doc":""},"Lean.Elab.Structural.RecArgInfo.indicesPos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L19-L19","name":"Lean.Elab.Structural.RecArgInfo.indicesPos","line":19,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indicesPos","doc":"position in `ys` of the inductive datatype indices we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indPred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L31-L31","name":"Lean.Elab.Structural.RecArgInfo.indPred","line":31,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indPred","doc":"true if the type is an inductive predicate "},"Lean.Elab.Structural.RecArgInfo.indParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L25-L25","name":"Lean.Elab.Structural.RecArgInfo.indParams","line":25,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indParams","doc":"inductive datatype parameters of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L21-L21","name":"Lean.Elab.Structural.RecArgInfo.indName","line":21,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indName","doc":"inductive datatype name of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indLevels":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L23-L23","name":"Lean.Elab.Structural.RecArgInfo.indLevels","line":23,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indLevels","doc":"inductive datatype universe levels of the argument we are recursing on "},"Lean.Elab.Structural.RecArgInfo.indIndices":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L27-L27","name":"Lean.Elab.Structural.RecArgInfo.indIndices","line":27,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.indIndices","doc":"inductive datatype indices of the argument we are recursing on, it is equal to `indicesPos.map fun i => ys.get! i` "},"Lean.Elab.Structural.RecArgInfo.fixedParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Structural/Basic.lean#L13-L13","name":"Lean.Elab.Structural.RecArgInfo.fixedParams","line":13,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Structural/Basic.html#Lean.Elab.Structural.RecArgInfo.fixedParams","doc":"`fixedParams ++ ys` are the arguments of the function we are trying to justify termination using structural recursion. 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It should not be used in user widgets.\n"},"Lean.Elab.InfoTree.visitM.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L44-L51","name":"Lean.Elab.InfoTree.visitM.go","line":44,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM.go","doc":""},"Lean.Elab.InfoTree.visitM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L54-L57","name":"Lean.Elab.InfoTree.visitM'","line":54,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM'","doc":"`InfoTree.visitM` specialized to `Unit` return type "},"Lean.Elab.InfoTree.visitM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L39-L51","name":"Lean.Elab.InfoTree.visitM","line":39,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.visitM","doc":"Visit nodes, passing in a surrounding context (the innermost one) and accumulating results on the way back up. "},"Lean.Elab.InfoTree.termGoalAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L363-L365","name":"Lean.Elab.InfoTree.termGoalAt?","line":363,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.termGoalAt?","doc":""},"Lean.Elab.InfoTree.substitute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L56-L62","name":"Lean.Elab.InfoTree.substitute","line":56,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.substitute","doc":"Instantiate the holes on the given `tree` with the assignment table.\n(analoguous to instantiating the metavariables in an expression) "},"Lean.Elab.InfoTree.smallestInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L155-L162","name":"Lean.Elab.InfoTree.smallestInfo?","line":155,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.smallestInfo?","doc":""},"Lean.Elab.InfoTree.node":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L172-L173","name":"Lean.Elab.InfoTree.node","line":172,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.node","doc":"The children contain information for nested term elaboration and tactic evaluation "},"Lean.Elab.InfoTree.hoverableInfoAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L165-L208","name":"Lean.Elab.InfoTree.hoverableInfoAt?","line":165,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hoverableInfoAt?","doc":"Find an info node, if any, which should be shown on hover/cursor at position `hoverPos`. "},"Lean.Elab.InfoTree.hole":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L174-L175","name":"Lean.Elab.InfoTree.hole","line":174,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.hole","doc":"The elaborator creates holes (aka metavariables) for tactics and postponed terms "},"Lean.Elab.InfoTree.hasSorry.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L369-L379","name":"Lean.Elab.InfoTree.hasSorry.go","line":369,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry.go","doc":""},"Lean.Elab.InfoTree.hasSorry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L367-L379","name":"Lean.Elab.InfoTree.hasSorry","line":367,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.hasSorry","doc":""},"Lean.Elab.InfoTree.goalsAt?.isEmptyBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L358-L360","name":"Lean.Elab.InfoTree.goalsAt?.isEmptyBy","line":358,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.isEmptyBy","doc":""},"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L345-L357","name":"Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","line":345,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?.hasNestedTactic","doc":""},"Lean.Elab.InfoTree.goalsAt?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L319-L360","name":"Lean.Elab.InfoTree.goalsAt?","line":319,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.goalsAt?","doc":"Try to retrieve `TacticInfo` for `hoverPos`.\nWe retrieve all `TacticInfo` nodes s.t. `hoverPos` is inside the node's range plus trailing whitespace.\nWe usually prefer the innermost such nodes so that for composite tactics such as `induction`, we show the nested proofs' states.\nHowever, if `hoverPos` is after the tactic, we prefer nodes that are not indented relative to it, meaning that e.g. at `|` in\n```lean\nhave := by\n exact foo\n|\n```\nwe show the (final, see below) state of `have`, not `exact`.\n\nMoreover, we instruct the LSP server to use the state after tactic execution if\n- the hover position is after the info's start position *and*\n- there is no nested tactic info after the hover position (tactic combinators should decide for themselves\n where to show intermediate states by calling `withTacticInfoContext`) "},"Lean.Elab.InfoTree.getCompletionInfos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L96-L100","name":"Lean.Elab.InfoTree.getCompletionInfos","line":96,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.getCompletionInfos","doc":""},"Lean.Elab.InfoTree.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L197-L209","name":"Lean.Elab.InfoTree.format","line":197,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.format","doc":""},"Lean.Elab.InfoTree.foldInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L79-L86","name":"Lean.Elab.InfoTree.foldInfo.go","line":79,"kind":"opaque","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo.go","doc":""},"Lean.Elab.InfoTree.foldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L77-L86","name":"Lean.Elab.InfoTree.foldInfo","line":77,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.foldInfo","doc":""},"Lean.Elab.InfoTree.findInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L44-L52","name":"Lean.Elab.InfoTree.findInfo?","line":44,"kind":"opaque","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.InfoTree.findInfo?","doc":""},"Lean.Elab.InfoTree.deepestNodes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L68-L75","name":"Lean.Elab.InfoTree.deepestNodes","line":68,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.deepestNodes","doc":"For every branch of the `InfoTree`, find the deepest node in that branch for which `p` returns\n`some _` and return the union of all such nodes. The visitor `p` is given a node together with\nits innermost surrounding `ContextInfo`. "},"Lean.Elab.InfoTree.context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L170-L171","name":"Lean.Elab.InfoTree.context","line":170,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree.context","doc":"The context object is created by `liftTermElabM` at `Command.lean` "},"Lean.Elab.InfoTree.collectNodesBottomUp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L61-L62","name":"Lean.Elab.InfoTree.collectNodesBottomUp","line":61,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.InfoTree.collectNodesBottomUp","doc":"Visit nodes bottom-up, passing in a surrounding context (the innermost one) and the union of nested results (empty at leaves). "},"Lean.Elab.InfoTree":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L169-L176","name":"Lean.Elab.InfoTree","line":169,"kind":"inductive","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoTree","doc":"The InfoTree is a structure that is generated during elaboration and used\nby the language server to look up information about objects at particular points\nin the Lean document. For example, tactic information and expected type information in\nthe infoview and information about completions.\n\nThe infotree consists of nodes which may have child nodes. Each node\nhas an `Info` object that contains details about what kind of information\nis present. Each `Info` object also contains a `Syntax` instance, this is used to\nmap positions in the Lean document to particular info objects.\n\nAn example of a function that extracts information from an infotree for a given\nposition is `InfoTree.goalsAt?` which finds `TacticInfo`.\n\nInformation concerning expressions requires that a context also be saved.\n`context` nodes store a local context that is used to process expressions\nin nodes below.\n\nBecause the info tree is generated during elaboration, some parts of the infotree\nfor a particular piece of syntax may not be ready yet. Hence InfoTree supports metavariable-like\n`hole`s which are filled in later in the same way that unassigned metavariables are.\n"},"Lean.Elab.InfoState.trees":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L194-L194","name":"Lean.Elab.InfoState.trees","line":194,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.trees","doc":"Pending child trees of a node. "},"Lean.Elab.InfoState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L1-L1","name":"Lean.Elab.InfoState.mk","line":1,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.mk","doc":""},"Lean.Elab.InfoState.enabled":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L190-L190","name":"Lean.Elab.InfoState.enabled","line":190,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.enabled","doc":"Whether info trees should be recorded. "},"Lean.Elab.InfoState.assignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L192-L192","name":"Lean.Elab.InfoState.assignment","line":192,"kind":"def","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState.assignment","doc":"Map from holes in the infotree to child infotrees. "},"Lean.Elab.InfoState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L188-L195","name":"Lean.Elab.InfoState","line":188,"kind":"structure","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.InfoState","doc":"This structure is the state that is being used to build an InfoTree object.\nDuring elaboration, some parts of the info tree may be `holes` which need to be filled later.\nThe `assignments` field is used to assign these holes.\nThe `trees` field is a list of pending child trees for the infotree node currently being built.\n\nYou should not need to use `InfoState` directly, instead infotrees should be built with the help of the methods here\nsuch as `pushInfoLeaf` to create leaf nodes and `withInfoContext` to create a nested child node.\n\nTo see how `trees` is used, look at the function body of `withInfoContext'`.\n"},"Lean.Elab.Info.updateContext?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L193-L195","name":"Lean.Elab.Info.updateContext?","line":193,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.updateContext?","doc":"Helper function for propagating the tactic metavariable context to its children nodes.\nWe need this function because we preserve `TacticInfo` nodes during backtracking *and* their\nchildren. Moreover, we backtrack the metavariable context to undo metavariable assignments.\n`TacticInfo` nodes save the metavariable context before/after the tactic application, and\ncan be pretty printed without any extra information. This is not the case for `TermInfo` nodes.\nWithout this function, the formatting method would often fail when processing `TermInfo` nodes\nthat are children of `TacticInfo` nodes that have been preserved during backtracking.\nSaving the metavariable context at `TermInfo` nodes is also not a good option because\nat `TermInfo` creation time, the metavariable context often miss information, e.g.,\na TC problem has not been resolved, a postponed subterm has not been elaborated, etc.\n\nSee `Term.SavedState.restore`.\n"},"Lean.Elab.Info.type?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L210-L214","name":"Lean.Elab.Info.type?","line":210,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.type?","doc":""},"Lean.Elab.Info.toElabInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Main.lean#L166-L177","name":"Lean.Elab.Info.toElabInfo?","line":166,"kind":"def","docLink":"./Lean/Elab/InfoTree/Main.html#Lean.Elab.Info.toElabInfo?","doc":""},"Lean.Elab.Info.tailPos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L123-L124","name":"Lean.Elab.Info.tailPos?","line":123,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.tailPos?","doc":""},"Lean.Elab.Info.stx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L102-L113","name":"Lean.Elab.Info.stx","line":102,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.stx","doc":""},"Lean.Elab.Info.size?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L132-L135","name":"Lean.Elab.Info.size?","line":132,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.size?","doc":""},"Lean.Elab.Info.range?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L126-L127","name":"Lean.Elab.Info.range?","line":126,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.range?","doc":""},"Lean.Elab.Info.pos?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/InfoUtils.lean#L120-L121","name":"Lean.Elab.Info.pos?","line":120,"kind":"def","docLink":"./Lean/Server/InfoUtils.html#Lean.Elab.Info.pos?","doc":""},"Lean.Elab.Info.ofUserWidgetInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L142-L142","name":"Lean.Elab.Info.ofUserWidgetInfo","line":142,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofUserWidgetInfo","doc":""},"Lean.Elab.Info.ofTermInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L136-L136","name":"Lean.Elab.Info.ofTermInfo","line":136,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTermInfo","doc":""},"Lean.Elab.Info.ofTacticInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L135-L135","name":"Lean.Elab.Info.ofTacticInfo","line":135,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofTacticInfo","doc":""},"Lean.Elab.Info.ofOptionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L139-L139","name":"Lean.Elab.Info.ofOptionInfo","line":139,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofOptionInfo","doc":""},"Lean.Elab.Info.ofMacroExpansionInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L138-L138","name":"Lean.Elab.Info.ofMacroExpansionInfo","line":138,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofMacroExpansionInfo","doc":""},"Lean.Elab.Info.ofFieldRedeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L145-L145","name":"Lean.Elab.Info.ofFieldRedeclInfo","line":145,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldRedeclInfo","doc":""},"Lean.Elab.Info.ofFieldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L140-L140","name":"Lean.Elab.Info.ofFieldInfo","line":140,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFieldInfo","doc":""},"Lean.Elab.Info.ofFVarAliasInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L144-L144","name":"Lean.Elab.Info.ofFVarAliasInfo","line":144,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofFVarAliasInfo","doc":""},"Lean.Elab.Info.ofCustomInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/InfoTree/Types.lean#L143-L143","name":"Lean.Elab.Info.ofCustomInfo","line":143,"kind":"ctor","docLink":"./Lean/Elab/InfoTree/Types.html#Lean.Elab.Info.ofCustomInfo","doc":""},"Lean.Elab.Info.ofCompletionInfo"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"},"Lean.Elab.Eqns.tryContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L305-L306","name":"Lean.Elab.Eqns.tryContradiction","line":305,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.tryContradiction","doc":""},"Lean.Elab.Eqns.splitMatch?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L83-L91","name":"Lean.Elab.Eqns.splitMatch?.go","line":83,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.splitMatch?.go","doc":""},"Lean.Elab.Eqns.splitMatch?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L81-L92","name":"Lean.Elab.Eqns.splitMatch?","line":81,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.splitMatch?","doc":""},"Lean.Elab.Eqns.simpMatch?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L44-L46","name":"Lean.Elab.Eqns.simpMatch?","line":44,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpMatch?","doc":""},"Lean.Elab.Eqns.simpIf?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L48-L50","name":"Lean.Elab.Eqns.simpIf?","line":48,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpIf?","doc":""},"Lean.Elab.Eqns.simpEqnType.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L140-L149","name":"Lean.Elab.Eqns.simpEqnType.collect","line":140,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpEqnType.collect","doc":""},"Lean.Elab.Eqns.simpEqnType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L112-L149","name":"Lean.Elab.Eqns.simpEqnType","line":112,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.simpEqnType","doc":"Eliminate `namedPatterns` from equation, and trivial hypotheses.\n"},"Lean.Elab.Eqns.removeUnusedEqnHypotheses.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L254-L273","name":"Lean.Elab.Eqns.removeUnusedEqnHypotheses.go","line":254,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.removeUnusedEqnHypotheses.go","doc":""},"Lean.Elab.Eqns.removeUnusedEqnHypotheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L251-L273","name":"Lean.Elab.Eqns.removeUnusedEqnHypotheses","line":251,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.removeUnusedEqnHypotheses","doc":"Some of the hypotheses added by `mkEqnTypes` may not be used by the actual proof (i.e., `value` argument).\nThis method eliminates them.\n\nAlternative solution: improve `saveEqn` and make sure it never includes unnecessary hypotheses.\nThese hypotheses are leftovers from tactics such as `splitMatch?` used in `mkEqnTypes`.\n"},"Lean.Elab.Eqns.mkUnfoldProof.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L339-L356","name":"Lean.Elab.Eqns.mkUnfoldProof.go","line":339,"kind":"opaque","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.mkUnfoldProof.go","doc":""},"Lean.Elab.Eqns.mkUnfoldProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L326-L357","name":"Lean.Elab.Eqns.mkUnfoldProof","line":326,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.mkUnfoldProof","doc":"Auxiliary method for `mkUnfoldEq`. The structure is based on `mkEqnTypes`.\n`mvarId` is the goal to be proved. It is a goal of the form\n```\ndeclName x_1 ... x_n = body[x_1, ..., x_n]\n```\nThe proof is constracted using the automatically generated equational theorems.\nWe basically keep splitting the `match` and `if-then-else` expressions in the right hand side\nuntil one of the equational theorems is applicable.\n"},"Lean.Elab.Eqns.mkUnfoldEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/PreDefinition/Eqns.lean#L360-L376","name":"Lean.Elab.Eqns.mkUnfoldEq","line":360,"kind":"def","docLink":"./Lean/Elab/PreDefinition/Eqns.html#Lean.Elab.Eqns.mkUnfoldEq","doc":"Generate the \"unfold\" lemma for `declName`. 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piece of syntax that the elaborator created this info for.\nNote that this also implicitly stores the code position in the syntax's SourceInfo. 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"},"Lean.Elab.Command.runTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L438-L455","name":"Lean.Elab.Command.runTermElabM","line":438,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runTermElabM","doc":"Execute the monadic action `elabFn xs` as a `CommandElabM` monadic action, where `xs` are free variables\ncorresponding to all active scoped variables declared using the `variable` command.\n\nThis method is similar to `liftTermElabM`, but it elaborates all scoped variables declared using the `variable`\ncommand.\n\nExample:\n```\nimport Lean\n\nopen Lean Elab Command Meta\n\nvariable {α : Type u} {f : α → α}\nvariable (n : Nat)\n\n#eval\n runTermElabM fun xs => do\n for x in xs do\n IO.println s!\"{← ppExpr x} : {← ppExpr (← inferType x)}\"\n```\n"},"Lean.Elab.Command.runLinters":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L201-L214","name":"Lean.Elab.Command.runLinters","line":201,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.runLinters","doc":""},"Lean.Elab.Command.resolveSyntaxKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L348-L351","name":"Lean.Elab.Command.resolveSyntaxKind","line":348,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.resolveSyntaxKind","doc":""},"Lean.Elab.Command.removeParenthesesAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L55-L60","name":"Lean.Elab.Command.removeParenthesesAux","line":55,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParenthesesAux","doc":""},"Lean.Elab.Command.removeParentheses":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L62-L68","name":"Lean.Elab.Command.removeParentheses","line":62,"kind":"opaque","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.removeParentheses","doc":""},"Lean.Elab.Command.modifyScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L466-L471","name":"Lean.Elab.Command.modifyScope","line":466,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.modifyScope","doc":""},"Lean.Elab.Command.mkUnexpander.flattenApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L120-L124","name":"Lean.Elab.Command.mkUnexpander.flattenApp","line":120,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander.flattenApp","doc":""},"Lean.Elab.Command.mkUnexpander":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Notation.lean#L86-L124","name":"Lean.Elab.Command.mkUnexpander","line":86,"kind":"def","docLink":"./Lean/Elab/Notation.html#Lean.Elab.Command.mkUnexpander","doc":"Try to derive an unexpander from a notation.\nThe notation must be of the form `notation ... => c body`\nwhere `c` is a declaration in the current scope and `body` any syntax\nthat contains each variable from the LHS at most once. "},"Lean.Elab.Command.mkState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L63-L68","name":"Lean.Elab.Command.mkState","line":63,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkState","doc":""},"Lean.Elab.Command.mkResultUniverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Inductive.lean#L422-L430","name":"Lean.Elab.Command.mkResultUniverse","line":422,"kind":"def","docLink":"./Lean/Elab/Inductive.html#Lean.Elab.Command.mkResultUniverse","doc":""},"Lean.Elab.Command.mkNameFromParserSyntax.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L310-L322","name":"Lean.Elab.Command.mkNameFromParserSyntax.visit","line":310,"kind":"opaque","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.mkNameFromParserSyntax.visit","doc":""},"Lean.Elab.Command.mkNameFromParserSyntax.appendCatName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L324-L327","name":"Lean.Elab.Command.mkNameFromParserSyntax.appendCatName","line":324,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.mkNameFromParserSyntax.appendCatName","doc":""},"Lean.Elab.Command.mkNameFromParserSyntax":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L307-L327","name":"Lean.Elab.Command.mkNameFromParserSyntax","line":307,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.mkNameFromParserSyntax","doc":"Auxiliary function for creating declaration names from parser descriptions.\nExample:\nGiven\n```\nsyntax term \"+\" term : term\nsyntax \"[\" sepBy(term, \", \") \"]\" : term\n```\nIt generates the names `term_+_` and `term[_,]`\n"},"Lean.Elab.Command.mkMessageAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L113-L116","name":"Lean.Elab.Command.mkMessageAux","line":113,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkMessageAux","doc":""},"Lean.Elab.Command.mkInstanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L77-L101","name":"Lean.Elab.Command.mkInstanceName","line":77,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkInstanceName","doc":"Generate a name for an instance with the given type.\nNote that we elaborate the type twice. Once for producing the name, and another when elaborating the declaration. "},"Lean.Elab.Command.mkFreshInstanceName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L68-L72","name":"Lean.Elab.Command.mkFreshInstanceName","line":68,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkFreshInstanceName","doc":""},"Lean.Elab.Command.mkDefViewOfTheorem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L62-L66","name":"Lean.Elab.Command.mkDefViewOfTheorem","line":62,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfTheorem","doc":""},"Lean.Elab.Command.mkDefViewOfOpaque":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L120-L131","name":"Lean.Elab.Command.mkDefViewOfOpaque","line":120,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfOpaque","doc":""},"Lean.Elab.Command.mkDefViewOfInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L103-L118","name":"Lean.Elab.Command.mkDefViewOfInstance","line":103,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfInstance","doc":""},"Lean.Elab.Command.mkDefViewOfExample":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L133-L139","name":"Lean.Elab.Command.mkDefViewOfExample","line":133,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfExample","doc":""},"Lean.Elab.Command.mkDefViewOfDef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L55-L60","name":"Lean.Elab.Command.mkDefViewOfDef","line":55,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfDef","doc":""},"Lean.Elab.Command.mkDefViewOfAbbrev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L47-L53","name":"Lean.Elab.Command.mkDefViewOfAbbrev","line":47,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefViewOfAbbrev","doc":""},"Lean.Elab.Command.mkDefView":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L150-L165","name":"Lean.Elab.Command.mkDefView","line":150,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.mkDefView","doc":""},"Lean.Elab.Command.mkCommandElabAttributeUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L228-L229","name":"Lean.Elab.Command.mkCommandElabAttributeUnsafe","line":228,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkCommandElabAttributeUnsafe","doc":""},"Lean.Elab.Command.mkCommandElabAttribute":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L232-L232","name":"Lean.Elab.Command.mkCommandElabAttribute","line":232,"kind":"opaque","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.mkCommandElabAttribute","doc":""},"Lean.Elab.Command.lintersRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L72-L72","name":"Lean.Elab.Command.lintersRef","line":72,"kind":"opaque","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.lintersRef","doc":""},"Lean.Elab.Command.liftTermElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L391-L414","name":"Lean.Elab.Command.liftTermElabM","line":391,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftTermElabM","doc":"Lift the `TermElabM` monadic action `x` into a `CommandElabM` monadic action.\n\nNote that `x` is executed with an empty message log. Thus, `x` cannot modify/view messages produced by\nprevious commands.\n\nIf you need to access the free variables corresponding to the ones declared using the `variable` command,\nconsider using `runTermElabM`.\n\nRecall that `TermElabM` actions can automatically lift `MetaM` and `CoreM` actions.\nExample:\n```\nimport Lean\n\nopen Lean Elab Command Meta\n\ndef printExpr (e : Expr) : MetaM Unit := do\n IO.println s!\"{← ppExpr e} : {← ppExpr (← inferType e)}\"\n\n#eval\n liftTermElabM do\n printExpr (mkConst ``Nat)\n```\n"},"Lean.Elab.Command.liftIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L177-L179","name":"Lean.Elab.Command.liftIO","line":177,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftIO","doc":""},"Lean.Elab.Command.liftEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L175-L175","name":"Lean.Elab.Command.liftEIO","line":175,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftEIO","doc":""},"Lean.Elab.Command.liftCoreM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L152-L169","name":"Lean.Elab.Command.liftCoreM","line":152,"kind":"def","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.liftCoreM","doc":""},"Lean.Elab.Command.isLocalAttrKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Syntax.lean#L353-L356","name":"Lean.Elab.Command.isLocalAttrKind","line":353,"kind":"def","docLink":"./Lean/Elab/Syntax.html#Lean.Elab.Command.isLocalAttrKind","doc":""},"Lean.Elab.Command.isDefLike":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/DefView.lean#L141-L148","name":"Lean.Elab.Command.isDefLike","line":141,"kind":"def","docLink":"./Lean/Elab/DefView.html#Lean.Elab.Command.isDefLike","doc":""},"Lean.Elab.Command.instReprStructFieldKind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Structure.lean#L64-L64","name":"Lean.Elab.Command.instReprStructFieldKind","line":64,"kind":"instance","docLink":"./Lean/Elab/Structure.html#Lean.Elab.Command.instReprStructFieldKind","doc":""},"Lean.Elab.Command.instReprStructFieldInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Structure.lean#L72-L72","name":"Lean.Elab.Command.instReprStructFieldInfo","line":72,"kind":"instance","docLink":"./Lean/Elab/Structure.html#Lean.Elab.Command.instReprStructFieldInfo","doc":""},"Lean.Elab.Command.instNonemptyState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L35-L35","name":"Lean.Elab.Command.instNonemptyState","line":35,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instNonemptyState","doc":""},"Lean.Elab.Command.instMonadTraceCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L101-L103","name":"Lean.Elab.Command.instMonadTraceCommandElabM","line":101,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadTraceCommandElabM","doc":""},"Lean.Elab.Command.instMonadResolveNameCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L186-L188","name":"Lean.Elab.Command.instMonadResolveNameCommandElabM","line":186,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadResolveNameCommandElabM","doc":""},"Lean.Elab.Command.instMonadRefCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L97-L99","name":"Lean.Elab.Command.instMonadRefCommandElabM","line":97,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadRefCommandElabM","doc":""},"Lean.Elab.Command.instMonadRecDepthCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L263-L266","name":"Lean.Elab.Command.instMonadRecDepthCommandElabM","line":263,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadRecDepthCommandElabM","doc":""},"Lean.Elab.Command.instMonadQuotationCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L223-L226","name":"Lean.Elab.Command.instMonadQuotationCommandElabM","line":223,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadQuotationCommandElabM","doc":""},"Lean.Elab.Command.instMonadOptionsCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L88-L89","name":"Lean.Elab.Command.instMonadOptionsCommandElabM","line":88,"kind":"instance","docLink":"./Lean/Elab/Command.html#Lean.Elab.Command.instMonadOptionsCommandElabM","doc":""},"Lean.Elab.Command.instMonadMacroAdapterCommandElabM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Elab/Command.lean#L258-L261","name":"Lean.Elab.Command.instMonadMacroAdapterCommandElabM","line":258,"kind":"instance"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id.\n"},"Lean.Compiler.LCNF.replaceFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L470-L471","name":"Lean.Compiler.LCNF.replaceFVars","line":470,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceFVars","doc":""},"Lean.Compiler.LCNF.replaceExprFVars":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L467-L468","name":"Lean.Compiler.LCNF.replaceExprFVars","line":467,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.replaceExprFVars","doc":""},"Lean.Compiler.LCNF.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L73-L74","name":"Lean.Compiler.LCNF.reduceJpArity","line":73,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.reduceJpArity","doc":""},"Lean.Compiler.LCNF.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L180-L184","name":"Lean.Compiler.LCNF.reduceArity","line":180,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.reduceArity","doc":""},"Lean.Compiler.LCNF.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L111-L112","name":"Lean.Compiler.LCNF.pullInstances","line":111,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.pullInstances","doc":""},"Lean.Compiler.LCNF.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L178-L179","name":"Lean.Compiler.LCNF.pullFunDecls","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.pullFunDecls","doc":""},"Lean.Compiler.LCNF.ppLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L118-L119","name":"Lean.Compiler.LCNF.ppLetValue","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppLetValue","doc":""},"Lean.Compiler.LCNF.ppFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L125-L127","name":"Lean.Compiler.LCNF.ppFunDecl","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppFunDecl","doc":""},"Lean.Compiler.LCNF.ppDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L145-L147","name":"Lean.Compiler.LCNF.ppDecl'","line":145,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl'","doc":"Similar to `ppDecl`, but in `CoreM`, and it does not assume\n`decl` has already been internalized.\nThis function is used for debugging purposes.\n"},"Lean.Compiler.LCNF.ppDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L121-L123","name":"Lean.Compiler.LCNF.ppDecl","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppDecl","doc":""},"Lean.Compiler.LCNF.ppCode'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L153-L155","name":"Lean.Compiler.LCNF.ppCode'","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode'","doc":"Similar to `ppCode`, but in `CoreM`, and it does not assume\n`code` has already been internalized.\n"},"Lean.Compiler.LCNF.ppCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PrettyPrinter.lean#L115-L116","name":"Lean.Compiler.LCNF.ppCode","line":115,"kind":"def","docLink":"./Lean/Compiler/LCNF/PrettyPrinter.html#Lean.Compiler.LCNF.ppCode","doc":""},"Lean.Compiler.LCNF.passManagerExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Passes.lean#L90-L96","name":"Lean.Compiler.LCNF.passManagerExt","line":90,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Passes.html#Lean.Compiler.LCNF.passManagerExt","doc":""},"Lean.Compiler.LCNF.normalizeFVarIds":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L122-L128","name":"Lean.Compiler.LCNF.normalizeFVarIds","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.normalizeFVarIds","doc":""},"Lean.Compiler.LCNF.normParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L416-L417","name":"Lean.Compiler.LCNF.normParams","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParams","doc":""},"Lean.Compiler.LCNF.normParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L413-L414","name":"Lean.Compiler.LCNF.normParam","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normParam","doc":""},"Lean.Compiler.LCNF.normLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Level.lean#L83-L85","name":"Lean.Compiler.LCNF.normLevelParams","line":83,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.normLevelParams","doc":"Normalize universe level parameter names in the given expression.\nThe function also returns the list of universe level parameter names that have been normalized.\n"},"Lean.Compiler.LCNF.normLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L318-L319","name":"Lean.Compiler.LCNF.normLetValue","line":318,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetValue","doc":"Replace the free variables in `e` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.normLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L419-L420","name":"Lean.Compiler.LCNF.normLetDecl","line":419,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normLetDecl","doc":""},"Lean.Compiler.LCNF.normFunDeclImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L437-L441","name":"Lean.Compiler.LCNF.normFunDeclImp","line":437,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDeclImp","doc":""},"Lean.Compiler.LCNF.normFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L460-L461","name":"Lean.Compiler.LCNF.normFunDecl","line":460,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFunDecl","doc":""},"Lean.Compiler.LCNF.normFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L309-L310","name":"Lean.Compiler.LCNF.normFVar","line":309,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normFVar","doc":"Normalize the given free variable.\nSee `normExprImp` for documentation on the `translator` parameter.\nThis function is meant to be used in contexts where the input free-variable is computationally relevant.\nThis function panics if the substitution is mapping `fvarId` to an expression that is not another free variable.\nThat is, it is not a type (or type former), nor `lcErased`. Recall that a valid `FVarSubst` contains only\nexpressions that are free variables, `lcErased`, or type formers.\n"},"Lean.Compiler.LCNF.normExprCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L322-L323","name":"Lean.Compiler.LCNF.normExprCore","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExprCore","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L312-L313","name":"Lean.Compiler.LCNF.normExpr","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normExpr","doc":"Replace the free variables in `e` using the given substitution.\n\nIf `translator = true`, then we assume the free variables occurring in the range of the substitution are in another\nlocal context. For example, `translator = true` during internalization where we are making sure all free variables\nin a given expression are replaced with new ones that do not collide with the ones in the current local context.\n\nIf `translator = false`, we assume the substitution contains free variable replacements in the same local context,\nand given entries such as `x₁ ↦ x₂`, `x₂ ↦ x₃`, ..., `xₙ₋₁ ↦ xₙ`, and the expression `f x₁ x₂`, we want the resulting\nexpression to be `f xₙ xₙ`. We use this setting, for example, in the simplifier.\n"},"Lean.Compiler.LCNF.normCodeImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L443-L457","name":"Lean.Compiler.LCNF.normCodeImp","line":443,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCodeImp","doc":""},"Lean.Compiler.LCNF.normCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L464-L465","name":"Lean.Compiler.LCNF.normCode","line":464,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normCode","doc":"Similar to `internalize`, but does not refresh `FVarId`s. "},"Lean.Compiler.LCNF.normArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L328-L329","name":"Lean.Compiler.LCNF.normArgs","line":328,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArgs","doc":"Normalize the given arguments using the current substitution.\n"},"Lean.Compiler.LCNF.normArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L315-L316","name":"Lean.Compiler.LCNF.normArg","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.normArg","doc":"Replace the free variables in `arg` using the given substitution.\n\nSee `normExprImp`\n"},"Lean.Compiler.LCNF.monoTypeExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/MonoTypes.lean#L120-L121","name":"Lean.Compiler.LCNF.monoTypeExt","line":120,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/MonoTypes.html#Lean.Compiler.LCNF.monoTypeExt","doc":""},"Lean.Compiler.LCNF.monoExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L37-L37","name":"Lean.Compiler.LCNF.monoExt","line":37,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.monoExt","doc":""},"Lean.Compiler.LCNF.modifyLCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L119-L120","name":"Lean.Compiler.LCNF.modifyLCtx","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.modifyLCtx","doc":""},"Lean.Compiler.LCNF.mkReturnErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L370-L372","name":"Lean.Compiler.LCNF.mkReturnErased","line":370,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkReturnErased","doc":""},"Lean.Compiler.LCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L346-L351","name":"Lean.Compiler.LCNF.mkParam","line":346,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkParam","doc":""},"Lean.Compiler.LCNF.mkNewParams.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L82-L94","name":"Lean.Compiler.LCNF.mkNewParams.go","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams.go","doc":""},"Lean.Compiler.LCNF.mkNewParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L79-L94","name":"Lean.Compiler.LCNF.mkNewParams","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.mkNewParams","doc":"Create new parameters for the given arrow type.\nExample: if `type` is `Nat → Bool → Int`, the result is\nan array containing two new parameters with types `Nat` and `Bool`.\n"},"Lean.Compiler.LCNF.mkLetDeclErased":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L367-L368","name":"Lean.Compiler.LCNF.mkLetDeclErased","line":367,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDeclErased","doc":""},"Lean.Compiler.LCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L353-L358","name":"Lean.Compiler.LCNF.mkLetDecl","line":353,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.mkFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L360-L365","name":"Lean.Compiler.LCNF.mkFunDecl","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFunDecl","doc":""},"Lean.Compiler.LCNF.mkFreshJpName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L473-L474","name":"Lean.Compiler.LCNF.mkFreshJpName","line":473,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshJpName","doc":""},"Lean.Compiler.LCNF.mkFreshBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L331-L334","name":"Lean.Compiler.LCNF.mkFreshBinderName","line":331,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkFreshBinderName","doc":""},"Lean.Compiler.LCNF.mkForallParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L269-L270","name":"Lean.Compiler.LCNF.mkForallParams","line":269,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkForallParams","doc":""},"Lean.Compiler.LCNF.mkFixedParamsMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FixedParams.lean#L165-L173","name":"Lean.Compiler.LCNF.mkFixedParamsMap","line":165,"kind":"def","docLink":"./Lean/Compiler/LCNF/FixedParams.html#Lean.Compiler.LCNF.mkFixedParamsMap","doc":"Given the (potentially mutually) recursive declarations `decls`,\nreturn a map from declaration name `decl.name` to a bit-mask `m` where `m[i]` is true\niff the `decl.params[i]` is a fixed argument. That is, it does not change in recursive\napplications.\nThe function assumes that if a function `f` was declared in a mutual block, then `decls`\ncontains all (computationally relevant) functions in the mutual block.\n"},"Lean.Compiler.LCNF.mkDeclExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L25-L34","name":"Lean.Compiler.LCNF.mkDeclExt","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.mkDeclExt","doc":""},"Lean.Compiler.LCNF.mkCasesResultType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L284-L290","name":"Lean.Compiler.LCNF.mkCasesResultType","line":284,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkCasesResultType","doc":""},"Lean.Compiler.LCNF.mkAuxParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L476-L477","name":"Lean.Compiler.LCNF.mkAuxParam","line":476,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.mkAuxParam","doc":""},"Lean.Compiler.LCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L266-L267","name":"Lean.Compiler.LCNF.mkAuxLetDecl","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L280-L282","name":"Lean.Compiler.LCNF.mkAuxJpDecl'","line":280,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl'","doc":""},"Lean.Compiler.LCNF.mkAuxJpDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L277-L278","name":"Lean.Compiler.LCNF.mkAuxJpDecl","line":277,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxJpDecl","doc":""},"Lean.Compiler.LCNF.mkAuxFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L272-L275","name":"Lean.Compiler.LCNF.mkAuxFunDecl","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.mkAuxFunDecl","doc":""},"Lean.Compiler.LCNF.maybeTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L255-L259","name":"Lean.Compiler.LCNF.maybeTypeFormerType","line":255,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.maybeTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type or it is an \"any\" type.\nThis function is similar to `isTypeFormerType`, but more liberal.\nFor example, `isTypeFormerType` returns false for `◾` and `Nat → ◾`, but\nthis function returns true.\n"},"Lean.Compiler.LCNF.markRecDecls.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L682-L691","name":"Lean.Compiler.LCNF.markRecDecls.visit","line":682,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.markRecDecls.visit","doc":""},"Lean.Compiler.LCNF.markRecDecls.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L693-L694","name":"Lean.Compiler.LCNF.markRecDecls.go","line":693,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.markRecDecls.go","doc":""},"Lean.Compiler.LCNF.markRecDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L674-L694","name":"Lean.Compiler.LCNF.markRecDecls","line":674,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.markRecDecls","doc":"Traverse the given block of potentially mutually recursive functions\nand mark a declaration `f` as recursive if there is an application\n`f ...` in the block.\nThis is an overapproximation, and relies on the fact that our frontend\ncomputes strongly connected components.\nSee comment at `recursive` field.\n"},"Lean.Compiler.LCNF.main":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Main.lean#L95-L98","name":"Lean.Compiler.LCNF.main","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/Main.html#Lean.Compiler.LCNF.main","doc":""},"Lean.Compiler.LCNF.macroInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToDecl.lean#L15-L20","name":"Lean.Compiler.LCNF.macroInline","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToDecl.html#Lean.Compiler.LCNF.macroInline","doc":"Inline constants tagged with the `[macro_inline]` attribute occurring in `e`.\n"},"Lean.Compiler.LCNF.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L163-L167","name":"Lean.Compiler.LCNF.lambdaLifting","line":163,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.lambdaLifting","doc":"Eliminate all local function declarations.\n"},"Lean.Compiler.LCNF.joinTypes?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L178-L204","name":"Lean.Compiler.LCNF.joinTypes?","line":178,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes?","doc":""},"Lean.Compiler.LCNF.joinTypes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L175-L176","name":"Lean.Compiler.LCNF.joinTypes","line":175,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.joinTypes","doc":""},"Lean.Compiler.LCNF.isTypeFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L214-L218","name":"Lean.Compiler.LCNF.isTypeFormerType","line":214,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isTypeFormerType","doc":"Return `true` if `type` is a LCNF type former type.\n\nRemark: This is faster than `Lean.Meta.isTypeFormer`, as this\nassumes that the input `type` is an LCNF type.\n"},"Lean.Compiler.LCNF.isTrivialConstructorApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToMono.lean#L21-L24","name":"Lean.Compiler.LCNF.isTrivialConstructorApp?","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.isTrivialConstructorApp?","doc":""},"Lean.Compiler.LCNF.isSpecCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L209-L210","name":"Lean.Compiler.LCNF.isSpecCandidate","line":209,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.isSpecCandidate","doc":""},"Lean.Compiler.LCNF.isRuntimeBultinType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L90-L91","name":"Lean.Compiler.LCNF.isRuntimeBultinType","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isRuntimeBultinType","doc":"Return `true` iff `declName` is the name of a type with builtin support in the runtime.\n"},"Lean.Compiler.LCNF.isPropFormerTypeQuick":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L19-L22","name":"Lean.Compiler.LCNF.isPropFormerTypeQuick","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerTypeQuick","doc":""},"Lean.Compiler.LCNF.isPropFormerType.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L32-L41","name":"Lean.Compiler.LCNF.isPropFormerType.go","line":32,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType.go","doc":""},"Lean.Compiler.LCNF.isPropFormerType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L27-L41","name":"Lean.Compiler.LCNF.isPropFormerType","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormerType","doc":"Return true iff `type` is `Prop` or `As → Prop`.\n"},"Lean.Compiler.LCNF.isPropFormer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L46-L47","name":"Lean.Compiler.LCNF.isPropFormer","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPropFormer","doc":"Return true iff `e : Prop` or `e : As → Prop`.\n"},"Lean.Compiler.LCNF.isPredicateType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L243-L247","name":"Lean.Compiler.LCNF.isPredicateType","line":243,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isPredicateType","doc":"Return `true` if `type` is a predicate.\nExamples: `Nat → Prop`, `Prop`, `Int → Bool → Prop`.\n"},"Lean.Compiler.LCNF.isLcCast?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L22-L26","name":"Lean.Compiler.LCNF.isLcCast?","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isLcCast?","doc":"Return `true` if `e` is a `lcCast` application.\n"},"Lean.Compiler.LCNF.isInductiveWithNoCtors":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L286-L289","name":"Lean.Compiler.LCNF.isInductiveWithNoCtors","line":286,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isInductiveWithNoCtors","doc":"Return `true` if `type` is an inductive datatype with 0 constructors. "},"Lean.Compiler.LCNF.isEtaExpandCandidateCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L96-L99","name":"Lean.Compiler.LCNF.isEtaExpandCandidateCore","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.isEtaExpandCandidateCore","doc":""},"Lean.Compiler.LCNF.isErasedCompatible.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L302-L313","name":"Lean.Compiler.LCNF.isErasedCompatible.go","line":302,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible.go","doc":""},"Lean.Compiler.LCNF.isErasedCompatible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/InferType.lean#L299-L313","name":"Lean.Compiler.LCNF.isErasedCompatible","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/InferType.html#Lean.Compiler.LCNF.isErasedCompatible","doc":"Return `true` if `type` should be erased. See item 1 in the note above where `x ◾ ◾` is\na proposition and should be erased when the universe level parameter is set to 0.\n\nRemark: `predVars` is a bitmask that indicates whether de-bruijn variables are predicates or not.\nThat is, `#i` is a predicate if `predVars[predVars.size - i - 1] = true`\n"},"Lean.Compiler.LCNF.isConstructorApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L99-L101","name":"Lean.Compiler.LCNF.isConstructorApp","line":99,"kind":"def","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.isConstructorApp","doc":""},"Lean.Compiler.LCNF.isCompilerRelevantMData":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L16-L17","name":"Lean.Compiler.LCNF.isCompilerRelevantMData","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCompilerRelevantMData","doc":"Return `true` if `mdata` should be preserved.\nRight now, we don't preserve any `MData`, but this may\nchange in the future when we add support for debugging information\n"},"Lean.Compiler.LCNF.isClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L264-L269","name":"Lean.Compiler.LCNF.isClass?","line":264,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isClass?","doc":"`isClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.isCasesApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Util.lean#L63-L69","name":"Lean.Compiler.LCNF.isCasesApp?","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/Util.html#Lean.Compiler.LCNF.isCasesApp?","doc":""},"Lean.Compiler.LCNF.isArrowClass?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L275-L278","name":"Lean.Compiler.LCNF.isArrowClass?","line":275,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.isArrowClass?","doc":"`isArrowClass? type` return `some ClsName` if the LCNF `type` is an instance of the class `ClsName`, or\nif it is arrow producing an instance of the class `ClsName`.\n"},"Lean.Compiler.LCNF.instantiateRevRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L702-L706","name":"Lean.Compiler.LCNF.instantiateRevRangeArgs","line":702,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRevRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateRangeArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L696-L700","name":"Lean.Compiler.LCNF.instantiateRangeArgs","line":696,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.instantiateRangeArgs","doc":""},"Lean.Compiler.LCNF.instantiateForall.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L229-L236","name":"Lean.Compiler.LCNF.instantiateForall.go","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall.go","doc":""},"Lean.Compiler.LCNF.instantiateForall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Types.lean#L226-L237","name":"Lean.Compiler.LCNF.instantiateForall","line":226,"kind":"def","docLink":"./Lean/Compiler/LCNF/Types.html#Lean.Compiler.LCNF.instantiateForall","doc":"Given a LCNF `type` of the form `forall (a_1 : A_1) ... 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`bot`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.modifyAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L323-L326","name":"Lean.Compiler.LCNF.UnreachableBranches.modifyAssignment","line":323,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.modifyAssignment","doc":"Run `f` on the variable `Assignment` of the current function.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L444-L475","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpLetValue","line":444,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpLetValue","doc":"The abstract interpreter on a `LetValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L492-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","line":492,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.interpFunCall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L487-L490","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","line":487,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunVar","doc":"If we see a function being passed as an argument to a higher order\nfunction we cannot know what arguments it will be passed further\ndown the line. Hence we set all of its arguments to `top` since anything\nis possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L477-L479","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","line":477,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode.handleFunArg","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.interpCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L408-L498","name":"Lean.Compiler.LCNF.UnreachableBranches.interpCode","line":408,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.interpCode","doc":"The actual abstract interpreter on a block of `Code`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.instReprValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instReprValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instReprValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L36-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","line":36,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.instInhabitedValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.inferStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L505-L519","name":"Lean.Compiler.LCNF.UnreachableBranches.inferStep","line":505,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferStep","doc":"Rerun the abstract interpreter on all declarations except of the unsafe\nones. Return whether any `Value` got updated in the process.\n"},"Lean.Compiler.LCNF.UnreachableBranches.inferMain":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L524-L531","name":"Lean.Compiler.LCNF.UnreachableBranches.inferMain","line":524,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.inferMain","doc":"Run `inferStep` until it reaches a fix point.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L261-L264","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunctionSummary?","doc":"Obtain the `Value` for a function name if possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getFunVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L312-L313","name":"Lean.Compiler.LCNF.UnreachableBranches.getFunVal","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getFunVal","doc":"Get the `Value` of a certain function in the current block by index.\n"},"Lean.Compiler.LCNF.UnreachableBranches.getAssignment":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L306-L307","name":"Lean.Compiler.LCNF.UnreachableBranches.getAssignment","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.getAssignment","doc":"Get the variable `Assignment` of the current function.\n"},"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L242-L250","name":"Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","line":242,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.functionSummariesExt","doc":"Storing `FunctionSummaries` for all functions in a `.olean`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findVarValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L332-L334","name":"Lean.Compiler.LCNF.UnreachableBranches.findVarValue","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findVarValue","doc":"Obtain the `Value` associated with `var` from the context of `InterpM`.\nIf none is available return `Value.bot`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L315-L318","name":"Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","line":315,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findFunVal?","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.findArgValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L339-L342","name":"Lean.Compiler.LCNF.UnreachableBranches.findArgValue","line":339,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.findArgValue","doc":"Find the value of `arg` using the logic of `findVarValue`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L542-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","line":542,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.elimDead":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L538-L574","name":"Lean.Compiler.LCNF.UnreachableBranches.elimDead","line":538,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.elimDead","doc":"Use the information produced by the abstract interpeter to:\n- Eliminate branches that we know cannot be hit\n- Eliminate values that we know have to be constants.\n"},"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L255-L256","name":"Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","line":255,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.addFunctionSummary","doc":"Add a `Value` for a function name.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.widening":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L129-L130","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.widening","line":129,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.widening","doc":"Widening operator that guarantees termination in our abstract interpreter. "},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L101-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","line":101,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L98-L126","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","line":98,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.truncate","doc":"Make sure constructors of recursive inductive datatypes can only occur once in each path.\nValues at depth > `maxValueDepth` are also approximated at `top`.\nWe use this function to implement a simple widening operation for our abstract interpreter.\nRecall the widening functions is used to ensure termination in abstract interpreters.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.top":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L24-L27","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.top","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.top","doc":"All values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.proj":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L177-L180","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.proj","line":177,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.proj","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L168-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","line":168,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goSmall","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L163-L167","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","line":163,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat.goBig","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L157-L170","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","line":157,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofNat","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L172-L175","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","line":172,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ofLCNFLit","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.merge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L76-L88","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.merge","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.merge","doc":"Merge two values into one. `bot` is the neutral element, `top` the annihilator.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L41-L41","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.maxValueDepth","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L186-L188","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","line":186,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.isLiteral","doc":"We say that a `Value` is a literal iff it is only a tree of `Value.ctor`\nnodes.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L53-L53","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","line":53,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.instBEqValue","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L206-L221","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","line":206,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.go","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L223-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","line":223,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral.getNatConstant","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L199-L226","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","line":199,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getLiteral","doc":"Attempt to turn a `Value` that is representing a literal into a set of\nauxiliary declarations + the final `FVarId` of the declaration that\ncontains the actual literal. If it is not a literal return none.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L147-L155","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.getCtorArgs","doc":"Obtain the arguments of a certain constructor within the `Value`.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L28-L31","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.ctor","doc":"A certian consructor with a certain sets of parameters is possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L138-L142","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.containsCtor","doc":"Check whether a certain constructor is part of a `Value` by name.\nNote that both `top` and `bot` will always true here. For bot this is\nbecause we have no information about the `Value` so just to be sure\nwe don't claim the absence of a certain constructor.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L32-L35","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.choice","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.choice","doc":"A set of values are possible.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.bot":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L20-L23","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.bot","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.bot","doc":"Undefined, could be anything we have no information.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L43-L51","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.beq","line":43,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.beq","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L63-L71","name":"Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","line":63,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value.addChoice","doc":"Fuse `v` into `vs`. That is do not only append but if we see that `v`\nis a constructor that is already contained within `vs` try to detect\nthe difference between these values and merge them accordingly into a\nchoice node further down the tree.\n"},"Lean.Compiler.LCNF.UnreachableBranches.Value":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L19-L36","name":"Lean.Compiler.LCNF.UnreachableBranches.Value","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.Value","doc":"The abstract domain of the interpreter. Representing sets of values\nof a certain type.\n"},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L1-L1","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.mk","doc":""},"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ElimDeadBranches.lean#L296-L296","name":"Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/ElimDeadBranches.html#Lean.Compiler.LCNF.UnreachableBranches.InterpState.funVals","doc":"`Value`s of functions in the `InterpContext` use during computation of\nthe fixpoint. 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args[arity:]\n```\n"},"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L635-L643","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","line":635,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.expandNoConfusionMajor","doc":""},"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L478-L483","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","line":478,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF.etaIfUnderApplied","doc":"Eta expand if under applied, otherwise apply k "},"Lean.Compiler.LCNF.ToLCNF.toLCNF":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L416-L752","name":"Lean.Compiler.LCNF.ToLCNF.toLCNF","line":416,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toLCNF","doc":"Put the given expression in `LCNF`.\n\n- Nested proofs are replaced with `lcProof`-applications.\n- Eta-expand applications of declarations that satisfy `shouldEtaExpand`.\n- Put computationally relevant expressions in A-normal form.\n"},"Lean.Compiler.LCNF.ToLCNF.toCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L240-L245","name":"Lean.Compiler.LCNF.ToLCNF.toCode","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.toCode","doc":"Create `Code` that executes the current `seq` and then returns `result` "},"Lean.Compiler.LCNF.ToLCNF.seqToCode.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L154-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode.go","line":154,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.seqToCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L151-L192","name":"Lean.Compiler.LCNF.ToLCNF.seqToCode","line":151,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.seqToCode","doc":""},"Lean.Compiler.LCNF.ToLCNF.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L247-L248","name":"Lean.Compiler.LCNF.ToLCNF.run","line":247,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.run","doc":""},"Lean.Compiler.LCNF.ToLCNF.pushElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L220-L221","name":"Lean.Compiler.LCNF.ToLCNF.pushElement","line":220,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.pushElement","doc":"Add 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"},"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L366-L372","name":"Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","line":366,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mustEtaExpand","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkUnreachable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L223-L226","name":"Lean.Compiler.LCNF.ToLCNF.mkUnreachable","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkUnreachable","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L322-L328","name":"Lean.Compiler.LCNF.ToLCNF.mkParam","line":322,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkParam","doc":"Create 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"},"Lean.Compiler.LCNF.ToLCNF.mkLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L330-L340","name":"Lean.Compiler.LCNF.ToLCNF.mkLetDecl","line":330,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.mkLcProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L24-L25","name":"Lean.Compiler.LCNF.ToLCNF.mkLcProof","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkLcProof","doc":"Create the temporary `lcProof` "},"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L228-L234","name":"Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","line":228,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.mkAuxLetDecl","doc":""},"Lean.Compiler.LCNF.ToLCNF.litToValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L404-L407","name":"Lean.Compiler.LCNF.ToLCNF.litToValue","line":404,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.litToValue","doc":""},"Lean.Compiler.LCNF.ToLCNF.liftMetaM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L216-L217","name":"Lean.Compiler.LCNF.ToLCNF.liftMetaM","line":216,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.liftMetaM","doc":""},"Lean.Compiler.LCNF.ToLCNF.letValueToArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L236-L237","name":"Lean.Compiler.LCNF.ToLCNF.letValueToArg","line":236,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.letValueToArg","doc":""},"Lean.Compiler.LCNF.ToLCNF.isLCProof":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L20-L21","name":"Lean.Compiler.LCNF.ToLCNF.isLCProof","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.isLCProof","doc":"Return `true` if `e` is a `lcProof` application.\nRecall that we use `lcProof` to erase all nested proofs.\n"},"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L38-L38","name":"Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.instInhabitedElement","doc":""},"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L388-L402","name":"Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","line":388,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaReduceImplicit","doc":"Eta reduce implicits. We use this function to eliminate introduced by the implicit lambda feature,\nwhere it generates terms such as `fun {α} => ReaderT.pure`\n"},"Lean.Compiler.LCNF.ToLCNF.etaExpandN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L377-L382","name":"Lean.Compiler.LCNF.ToLCNF.etaExpandN","line":377,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.etaExpandN","doc":"Eta-expand with `n` lambdas.\n"},"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L314-L319","name":"Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","line":314,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.cleanupBinderName","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L67-L68","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","line":67,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.visitAlts","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L78-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.go","line":78,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.go","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L70-L76","name":"Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","line":70,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases.findFun?","doc":""},"Lean.Compiler.LCNF.ToLCNF.bindCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L60-L149","name":"Lean.Compiler.LCNF.ToLCNF.bindCases","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.bindCases","doc":"This method returns code that at each exit point of `cases`, it jumps to `jpDecl`.\nIt is similar to `Code.bind`, but we add special support for `inlineMatcher`.\nThe `inlineMatcher` function inlines the auxiliary `_match_` declarations.\nTo make sure there is no code duplication, `inlineMatcher` creates auxiliary declarations `_alt.`.\nWe can say the `_alt.` declarations are pre join points. For each auxiliary declaration used at\nan exit point of `cases`, this method creates an new auxiliary join point that invokes `_alt.`,\nand then jumps to `jpDecl`. The goal is to make sure the auxiliary join point is the only occurrence\nof `_alt.`, then `simp` will inline it.\nThat is, our goal is to try to promote the pre join points `_alt.` into a proper join point.\n"},"Lean.Compiler.LCNF.ToLCNF.applyToAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L299-L303","name":"Lean.Compiler.LCNF.ToLCNF.applyToAny","line":299,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.applyToAny","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.typeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L200-L200","name":"Lean.Compiler.LCNF.ToLCNF.State.typeCache","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.typeCache","doc":"`toLCNFType` cache "},"Lean.Compiler.LCNF.ToLCNF.State.toAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L212-L212","name":"Lean.Compiler.LCNF.ToLCNF.State.toAny","line":212,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.toAny","doc":"Fields that are type formers must be replaced with `◾`\nin the resulting code. Otherwise, we have data occurring in\ntypes.\nWhen converting a `casesOn` into LCNF, we add constructor fields\nthat are types and type formers into this set. See `visitCases`.\n"},"Lean.Compiler.LCNF.ToLCNF.State.seq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L204-L204","name":"Lean.Compiler.LCNF.ToLCNF.State.seq","line":204,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.seq","doc":"LCNF sequence, we chain it to create a LCNF `Code` object. "},"Lean.Compiler.LCNF.ToLCNF.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L1-L1","name":"Lean.Compiler.LCNF.ToLCNF.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.mk","doc":""},"Lean.Compiler.LCNF.ToLCNF.State.lctx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L196-L196","name":"Lean.Compiler.LCNF.ToLCNF.State.lctx","line":196,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.lctx","doc":"Local context containing the original Lean types (not LCNF ones). "},"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L202-L202","name":"Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","line":202,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.isTypeFormerTypeCache","doc":"isTypeFormerType cache "},"Lean.Compiler.LCNF.ToLCNF.State.cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToLCNF.lean#L198-L198","name":"Lean.Compiler.LCNF.ToLCNF.State.cache","line":198,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToLCNF.html#Lean.Compiler.LCNF.ToLCNF.State.cache","doc":"Cache from Lean regular expression to LCNF argument. 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processed\n"},"Lean.Compiler.LCNF.Specialize.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L42-L55","name":"Lean.Compiler.LCNF.Specialize.Context","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Context","doc":""},"Lean.Compiler.LCNF.Specialize.Collector.collect":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L137-L152","name":"Lean.Compiler.LCNF.Specialize.Collector.collect","line":137,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Collector.collect","doc":"Given the specialization mask `paramsInfo` and the arguments `args`,\ncollect their dependencies, and return an array `mask` of size `paramsInfo.size` s.t.\n- `mask[i] = some args[i]` if `paramsInfo[i] != .other`\n- `mask[i] = none`, otherwise.\nThat is, `mask` contains only the arguments that are contributing to the code specialization.\nWe use this information to compute a \"key\" to uniquely identify the code specialization, and\ncreating the specialized code.\n"},"Lean.Compiler.LCNF.Specialize.CacheEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L1-L1","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.mk","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.key":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L23-L23","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.key","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.key","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L24-L24","name":"Lean.Compiler.LCNF.Specialize.CacheEntry.declName","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry.declName","doc":""},"Lean.Compiler.LCNF.Specialize.CacheEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L22-L25","name":"Lean.Compiler.LCNF.Specialize.CacheEntry","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.CacheEntry","doc":""},"Lean.Compiler.LCNF.Specialize.Cache":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L20-L20","name":"Lean.Compiler.LCNF.Specialize.Cache","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Specialize.Cache","doc":""},"Lean.Compiler.LCNF.SpecState.specInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L53-L53","name":"Lean.Compiler.LCNF.SpecState.specInfo","line":53,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.specInfo","doc":""},"Lean.Compiler.LCNF.SpecState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.mk","doc":""},"Lean.Compiler.LCNF.SpecState.addEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L63-L65","name":"Lean.Compiler.LCNF.SpecState.addEntry","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState.addEntry","doc":""},"Lean.Compiler.LCNF.SpecState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L52-L54","name":"Lean.Compiler.LCNF.SpecState","line":52,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecState","doc":""},"Lean.Compiler.LCNF.SpecParamInfo.user":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L32-L37","name":"Lean.Compiler.LCNF.SpecParamInfo.user","line":32,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.user","doc":"An argument that has been specified in the `@[specialize]` attribute. Lean specializes it even if it is\nnot fixed in recursive declarations. Non-termination can happen, and Lean interrupts it with an error message\nbased on the stack depth.\n"},"Lean.Compiler.LCNF.SpecParamInfo.other":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L38-L41","name":"Lean.Compiler.LCNF.SpecParamInfo.other","line":38,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.other","doc":"Parameter is not going to be specialized.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L27-L31","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","line":27,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedNeutral","doc":"Computationally irrelevant parameters that are fixed in recursive declarations,\n*and* there is a `fixedInst`, `fixedHO`, or `user` param that depends on it.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedInst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L16-L20","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedInst","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedInst","doc":"A parameter that is an type class instance (or an arrow that produces a type class instance),\nand is fixed in recursive declarations. By default, Lean always specializes this kind of argument.\n"},"Lean.Compiler.LCNF.SpecParamInfo.fixedHO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L21-L26","name":"Lean.Compiler.LCNF.SpecParamInfo.fixedHO","line":21,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo.fixedHO","doc":"A parameter that is a function and is fixed in recursive declarations. If the user tags a declaration\nwith `@[specialize]` without specifying which arguments should be specialized, Lean will specialize\n`.fixedHO` arguments in addition to `.fixedInst`.\n"},"Lean.Compiler.LCNF.SpecParamInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L15-L42","name":"Lean.Compiler.LCNF.SpecParamInfo","line":15,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecParamInfo","doc":"Each parameter is associated with a `SpecParamInfo`. This information is used by `LCNF/Specialize.lean`.\n"},"Lean.Compiler.LCNF.SpecEntry.paramsInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L58-L58","name":"Lean.Compiler.LCNF.SpecEntry.paramsInfo","line":58,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.paramsInfo","doc":""},"Lean.Compiler.LCNF.SpecEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.SpecEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.mk","doc":""},"Lean.Compiler.LCNF.SpecEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L57-L57","name":"Lean.Compiler.LCNF.SpecEntry.declName","line":57,"kind":"def","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry.declName","doc":""},"Lean.Compiler.LCNF.SpecEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/SpecInfo.lean#L56-L59","name":"Lean.Compiler.LCNF.SpecEntry","line":56,"kind":"structure","docLink":"./Lean/Compiler/LCNF/SpecInfo.html#Lean.Compiler.LCNF.SpecEntry","doc":""},"Lean.Compiler.LCNF.Simp.withInlining.check":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L132-L139","name":"Lean.Compiler.LCNF.Simp.withInlining.check","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining.check","doc":""},"Lean.Compiler.LCNF.Simp.withInlining":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L125-L139","name":"Lean.Compiler.LCNF.Simp.withInlining","line":125,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withInlining","doc":"Execute `x` with an updated `inlineStack`. If `value` is of the form `const ...`, add `const` to the stack.\nOtherwise, do not change the `inlineStack`.\n"},"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L152-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","line":152,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth.throwMaxRecDepth","doc":""},"Lean.Compiler.LCNF.Simp.withIncRecDepth":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L144-L168","name":"Lean.Compiler.LCNF.Simp.withIncRecDepth","line":144,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withIncRecDepth","doc":"Similar to the default `Lean.withIncRecDepth`, but include the `inlineStack` in the error messsage.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp.updateCtx","doc":""},"Lean.Compiler.LCNF.Simp.withDiscrCtorImp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L85-L101","name":"Lean.Compiler.LCNF.Simp.withDiscrCtorImp","line":85,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtorImp","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withDiscrCtor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L103-L104","name":"Lean.Compiler.LCNF.Simp.withDiscrCtor","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.withDiscrCtor","doc":"Execute `x` with the information that `discr = ctorName ctorFields`.\nWe use this information to simplify nested cases on the same discriminant.\n"},"Lean.Compiler.LCNF.Simp.withAddMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L174-L180","name":"Lean.Compiler.LCNF.Simp.withAddMustInline","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.withAddMustInline","doc":"Execute `x` with `fvarId` set as `mustInline`.\nAfter execution the original setting is restored.\n"},"Lean.Compiler.LCNF.Simp.updateFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L116-L119","name":"Lean.Compiler.LCNF.Simp.updateFunDeclInfo","line":116,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.updateFunDeclInfo","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.specializePartialApp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L45-L57","name":"Lean.Compiler.LCNF.Simp.specializePartialApp","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.specializePartialApp","doc":"Create a new local function declaration when `info.args.size < info.params.size`.\nWe use this function to inline/specialize a partial application of a local function.\n"},"Lean.Compiler.LCNF.Simp.simpValue?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L54-L56","name":"Lean.Compiler.LCNF.Simp.simpValue?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpValue?","doc":"Try to apply simple simplifications. "},"Lean.Compiler.LCNF.Simp.simpProj?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L14-L19","name":"Lean.Compiler.LCNF.Simp.simpProj?","line":14,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpProj?","doc":"Try to simplify projections `.proj _ i s` where `s` is constructor.\n"},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L232-L271","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","line":232,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L273-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","line":273,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visitJmp?","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L204-L230","name":"Lean.Compiler.LCNF.Simp.simpJpCases?.visit","line":204,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?.visit","doc":""},"Lean.Compiler.LCNF.Simp.simpJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L194-L294","name":"Lean.Compiler.LCNF.Simp.simpJpCases?","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.simpJpCases?","doc":"Try to optimize `jpCases` join points.\nWe say a join point is a `jpCases` when it satifies the predicate `isJpCases`.\nIf we have a jump to `jpCases` with a constructor, then we can optimize the code by creating an new join point for\nthe constructor.\nExample: suppose we have\n```lean\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => let x.3 := h x.1; return x.3\n...\ncases x.4\n| ctor1 =>\n let x.5 := cons z.1 z.2\n jmp _jp.1 x.5\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nThis `simpJpCases?` converts it to\n```lean\njp _jp.2 h t :=\n let x.1 := true\n let x.3 := h x.1\n return x.3\njp _jp.1 y :=\n let x.1 := true\n cases y\n | nil => let x.2 := g x.1; return x.2\n | cons h t => jmp _jp.2 h t\n...\ncases x.4\n| ctor1 =>\n -- The constructor has been eliminated here\n jmp _jp.2 z.1 z.2\n| ctor2 =>\n let x.6 := f x.4\n jmp _jp.1 x.6\n```\nNote that if all jumps to the join point are with constructors,\nthen the join point is eliminated as dead code.\n"},"Lean.Compiler.LCNF.Simp.simpFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L179-L183","name":"Lean.Compiler.LCNF.Simp.simpFunDecl","line":179,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpFunDecl","doc":"Simplify the given local function declaration.\n"},"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L106-L109","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","line":106,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.simpCtorDiscrCore?","doc":""},"Lean.Compiler.LCNF.Simp.simpCtorDiscr?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L41-L45","name":"Lean.Compiler.LCNF.Simp.simpCtorDiscr?","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpCtorDiscr?","doc":""},"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L188-L213","name":"Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","line":188,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simpCasesOnCtor?","doc":"Try to simplify `cases` of `constructor`\n"},"Lean.Compiler.LCNF.Simp.simpAppApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L29-L39","name":"Lean.Compiler.LCNF.Simp.simpAppApp?","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.simpAppApp?","doc":"Application over application.\n```\nlet g := f a\ng b\n```\nis simplified to `f a b`.\n"},"Lean.Compiler.LCNF.Simp.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L218-L333","name":"Lean.Compiler.LCNF.Simp.simp","line":218,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.simp","doc":"Simplify `code`\n"},"Lean.Compiler.LCNF.Simp.shouldInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L200-L204","name":"Lean.Compiler.LCNF.Simp.shouldInlineLocal","line":200,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.shouldInlineLocal","doc":"Return `true` if the given local function declaration should be inlined.\n"},"Lean.Compiler.LCNF.Simp.markUsedType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L22-L23","name":"Lean.Compiler.LCNF.Simp.markUsedType","line":22,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedType","doc":"Mark all free variables occurring in `type` as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L37-L42","name":"Lean.Compiler.LCNF.Simp.markUsedLetValue","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetValue","doc":"Mark all free variables occurring in `e` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L48-L49","name":"Lean.Compiler.LCNF.Simp.markUsedLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedLetDecl","doc":"Mark all free variables occurring on the right-hand side of the given let declaration as used.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L67-L68","name":"Lean.Compiler.LCNF.Simp.markUsedFunDecl","line":67,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFunDecl","doc":"Mark all free variables occurring in `funDecl` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L15-L16","name":"Lean.Compiler.LCNF.Simp.markUsedFVar","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedFVar","doc":"Mark `fvarId` as an used free variable.\nThis is information is used to eliminate dead local declarations.\n"},"Lean.Compiler.LCNF.Simp.markUsedCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L55-L62","name":"Lean.Compiler.LCNF.Simp.markUsedCode","line":55,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedCode","doc":"Mark all free variables occurring in `code` as used.\n"},"Lean.Compiler.LCNF.Simp.markUsedArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L28-L32","name":"Lean.Compiler.LCNF.Simp.markUsedArg","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.markUsedArg","doc":"Mark all free variables occurring in `arg` as used.\n"},"Lean.Compiler.LCNF.Simp.markSimplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L88-L89","name":"Lean.Compiler.LCNF.Simp.markSimplified","line":88,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.markSimplified","doc":"Set the `simplified` flag to `true`. "},"Lean.Compiler.LCNF.Simp.isUsed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L74-L75","name":"Lean.Compiler.LCNF.Simp.isUsed","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.isUsed","doc":"Return `true` if `fvarId` is in the `used` set.\n"},"Lean.Compiler.LCNF.Simp.isSmall":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L194-L195","name":"Lean.Compiler.LCNF.Simp.isSmall","line":194,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isSmall","doc":"Return `true` if the given code is considered \"small\".\n"},"Lean.Compiler.LCNF.Simp.isReturnOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L93-L98","name":"Lean.Compiler.LCNF.Simp.isReturnOf","line":93,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.isReturnOf","doc":"Similar to `Code.isReturnOf`, but taking the current substitution into account.\n"},"Lean.Compiler.LCNF.Simp.isOnceOrMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L186-L189","name":"Lean.Compiler.LCNF.Simp.isOnceOrMustInline","line":186,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.isOnceOrMustInline","doc":"Return true if the given local function declaration or join point id is marked as\n`once` or `mustInline`. We use this information to decide whether to inline them.\n"},"Lean.Compiler.LCNF.Simp.isJpCases?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L31-L36","name":"Lean.Compiler.LCNF.Simp.isJpCases?.go","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?.go","doc":""},"Lean.Compiler.LCNF.Simp.isJpCases?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L26-L37","name":"Lean.Compiler.LCNF.Simp.isJpCases?","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.isJpCases?","doc":"Given the function declaration `decl`, return `some idx` if it is of the form\n```\nf y :=\n ... /- This part is not bigger than smallThreshold. -/\n cases y\n | ... => ...\n ...\n```\n`idx` is the index of the parameter used in the `cases` statement.\n"},"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instReprFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instMonadSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L79-L79","name":"Lean.Compiler.LCNF.Simp.instMonadSimpM","line":79,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L84-L85","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","line":84,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstStateSimpM","doc":""},"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L81-L82","name":"Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","line":81,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.instMonadFVarSubstSimpMFalse","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L50-L50","name":"Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","line":50,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.instInhabitedJpCasesInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L43-L43","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","line":43,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L33-L33","name":"Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","line":33,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.instInhabitedFunDeclInfo","doc":""},"Lean.Compiler.LCNF.Simp.instInhabitedConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L38-L38","name":"Lean.Compiler.LCNF.Simp.instInhabitedConfig","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.instInhabitedConfig","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L77-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","line":77,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visitCode","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L50-L75","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","line":50,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?.visit","doc":""},"Lean.Compiler.LCNF.Simp.inlineProjInst?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineProj.lean#L37-L82","name":"Lean.Compiler.LCNF.Simp.inlineProjInst?","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineProj.html#Lean.Compiler.LCNF.Simp.inlineProjInst?","doc":"Auxiliary function for projecting \"type class dictionary access\".\nThat is, we are trying to extract one of the type class instance elements.\nRemark: We do not consider parent instances to be elements.\nFor example, suppose `e` is `_x_4.1`, and we have\n```\n_x_2 : Monad (ReaderT Bool (ExceptT String Id)) := @ReaderT.Monad Bool (ExceptT String Id) _x_1\n_x_3 : Applicative (ReaderT Bool (ExceptT String Id)) := _x_2.1\n_x_4 : Functor (ReaderT Bool (ExceptT String Id)) := _x_3.1\n```\nThen, we will expand `_x_4.1` since it corresponds to the `Functor` `map` element,\nand its type is not a type class, but is of the form\n```\n{α β : Type u} → (α → β) → ...\n```\nIn the example above, the compiler should not expand `_x_3.1` or `_x_2.1` because they are\ntype class applications: `Functor` and `Applicative` respectively.\nBy eagerly expanding them, we may produce inefficient and bloated code.\nFor example, we may be using `_x_3.1` to invoke a function that expects a `Functor` instance.\nBy expanding `_x_3.1` we will be just expanding the code that creates this instance.\n\nThe result is representing a sequence of code containing let-declarations and local function declarations (`Array CodeDecl`)\nand the free variable containing the result (`FVarId`). The resulting `FVarId` often depends only on a small\nsubset of `Array CodeDecl`. However, this method does try to filter the relevant ones.\nWe rely on the `used` var set available in `SimpM` to filter them. See `attachCodeDecls`.\n"},"Lean.Compiler.LCNF.Simp.inlineJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L62-L67","name":"Lean.Compiler.LCNF.Simp.inlineJp?","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineJp?","doc":"Try to inline a join point.\n"},"Lean.Compiler.LCNF.Simp.inlineCandidate?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L34-L106","name":"Lean.Compiler.LCNF.Simp.inlineCandidate?","line":34,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.inlineCandidate?","doc":"Return `some info` if `e` should be inlined.\n"},"Lean.Compiler.LCNF.Simp.inlineApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L121-L174","name":"Lean.Compiler.LCNF.Simp.inlineApp?","line":121,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.inlineApp?","doc":"If the value of the given let-declaration is an application that can be inlined,\ninline it and simplify the result.\n\n`k` is the \"continuation\" for the let declaration, if the application is inlined,\nit will also be simplified.\n\nNote: `inlineApp?` did not use to be in this mutually recursive declaration.\nIt used to be invoked by `simp`, and would return `Option Code` that would be\nthen simplified by `simp`. However, this simpler architecture produced an\nexponential blowup in when processing functions such as `Lean.Elab.Deriving.Ord.mkMatch.mkAlts`.\nThe key problem is that when inlining a declaration we often can reduce the number\nof exit points by simplified the inlined code, and then connecting the result to the\ncontinuation `k`. However, this optimization is only possible if we simplify the\ninlined code **before** we attach it to the continuation.\n"},"Lean.Compiler.LCNF.Simp.incVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L92-L93","name":"Lean.Compiler.LCNF.Simp.incVisited","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incVisited","doc":"Increment `visited` performance counter. "},"Lean.Compiler.LCNF.Simp.incInlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L100-L101","name":"Lean.Compiler.LCNF.Simp.incInlineLocal","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInlineLocal","doc":"Increment `inlineLocal` performance counter. It is the number of inlined local function and join point declarations. "},"Lean.Compiler.LCNF.Simp.incInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L96-L97","name":"Lean.Compiler.LCNF.Simp.incInline","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.incInline","doc":"Increment `inline` performance counter. It is the number of inlined global declarations. "},"Lean.Compiler.LCNF.Simp.getIndInfo?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L71-L79","name":"Lean.Compiler.LCNF.Simp.getIndInfo?","line":71,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.getIndInfo?","doc":"If `type` is an inductive datatype, return its universe levels and parameters.\n"},"Lean.Compiler.LCNF.Simp.findFunDecl'?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Basic.lean#L23-L29","name":"Lean.Compiler.LCNF.Simp.findFunDecl'?","line":23,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/Basic.html#Lean.Compiler.LCNF.Simp.findFunDecl'?","doc":"Similar to `findFunDecl?`, but follows aliases (i.e., `let _x.i := _x.j`).\nConsider the following example\n```\nfun _f.1 ... := ...\nlet _x.2 := _f.1\n```\n`findFunDecl? _x.2` returns `none`, but `findFunDecl'? _x.2` returns the declaration for `_f.1`.\n"},"Lean.Compiler.LCNF.Simp.findCtorName?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.findCtorName?","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtorName?","doc":""},"Lean.Compiler.LCNF.Simp.findCtor?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L54-L62","name":"Lean.Compiler.LCNF.Simp.findCtor?","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.findCtor?","doc":"If `fvarId` is a constructor application, returns constructor information.\nRemark: we use the map `discrCtorMap`.\nRemark: We use this method when simplifying projections and cases-constructor.\n"},"Lean.Compiler.LCNF.Simp.etaPolyApp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L75-L88","name":"Lean.Compiler.LCNF.Simp.etaPolyApp?","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.etaPolyApp?","doc":"When the configuration flag `etaPoly = true`, we eta-expand\npartial applications of functions that take local instances as arguments.\nThis kind of function is inlined or specialized, and we create new\nsimplification opportunities by eta-expanding them.\n"},"Lean.Compiler.LCNF.Simp.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L223-L225","name":"Lean.Compiler.LCNF.Simp.eraseLetDecl","line":223,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseLetDecl","doc":"Erase the given let-declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L231-L233","name":"Lean.Compiler.LCNF.Simp.eraseFunDecl","line":231,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.eraseFunDecl","doc":"Erase the given local function declaration from the local context,\nand set the `simplified` flag to true.\n"},"Lean.Compiler.LCNF.Simp.elimVar?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Main.lean#L100-L102","name":"Lean.Compiler.LCNF.Simp.elimVar?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Main.html#Lean.Compiler.LCNF.Simp.elimVar?","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L68-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","line":68,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo.go","doc":""},"Lean.Compiler.LCNF.Simp.collectJpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L64-L85","name":"Lean.Compiler.LCNF.Simp.collectJpCasesInfo","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.collectJpCasesInfo","doc":"Return a map containing entries `jpFVarId ↦ { paramIdx, ctorNames }` where `jpFVarId` is the id of join point\nin code that satisfies `isJpCases`, and `ctorNames` is a set of constructor names such that\nthere is a jump `.jmp jpFVarId #[..., x, ...]` in `code` and `x` is a constructor application.\n`paramIdx` is the index of the parameter\n"},"Lean.Compiler.LCNF.Simp.betaReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L211-L217","name":"Lean.Compiler.LCNF.Simp.betaReduce","line":211,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.betaReduce","doc":"LCNF \"Beta-reduce\". The equivalent of `(fun params => code) args`.\nIf `mustInline` is true, the local function declarations in the resulting code are marked as `.mustInline`.\nSee comment at `updateFunDeclInfo`.\n"},"Lean.Compiler.LCNF.Simp.attachCodeDecls.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L89-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls.go","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls.go","doc":""},"Lean.Compiler.LCNF.Simp.attachCodeDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Used.lean#L86-L101","name":"Lean.Compiler.LCNF.Simp.attachCodeDecls","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Used.html#Lean.Compiler.LCNF.Simp.attachCodeDecls","doc":"Attach the given `decls` to `code`. For example, assume `decls` is `#[.let _x.1 := 10, .let _x.2 := true]`,\nthen the result is\n```\nlet _x.1 := 10\nlet _x.2 := true\n\n```\n"},"Lean.Compiler.LCNF.Simp.applyImplementedBy?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpValue.lean#L47-L51","name":"Lean.Compiler.LCNF.Simp.applyImplementedBy?","line":47,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpValue.html#Lean.Compiler.LCNF.Simp.applyImplementedBy?","doc":""},"Lean.Compiler.LCNF.Simp.addMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L104-L105","name":"Lean.Compiler.LCNF.Simp.addMustInline","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addMustInline","doc":"Mark the local function declaration or join point with the given id as a \"must inline\". "},"Lean.Compiler.LCNF.Simp.addFunOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L108-L109","name":"Lean.Compiler.LCNF.Simp.addFunOcc","line":108,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunOcc","doc":"Add a new occurrence of local function `fvarId`. "},"Lean.Compiler.LCNF.Simp.addFunHoOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L112-L113","name":"Lean.Compiler.LCNF.Simp.addFunHoOcc","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFunHoOcc","doc":"Add a new occurrence of local function `fvarId` in argument position . "},"Lean.Compiler.LCNF.Simp.addFVarSubst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L242-L248","name":"Lean.Compiler.LCNF.Simp.addFVarSubst","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.addFVarSubst","doc":"Similar to `LCNF.addFVarSubst`. That is, add the entry\n`fvarId ↦ fvarId'` to the free variable substitution.\nIf `fvarId` has a non-internal binder name `n`, but `fvarId'` does not,\nthis method also adds the entry `fvarId' ↦ n` to the `binderRenaming` map.\nThe goal is to preserve user provided names.\n"},"Lean.Compiler.LCNF.Simp.addDefaultAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DefaultAlt.lean#L45-L65","name":"Lean.Compiler.LCNF.Simp.addDefaultAlt","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DefaultAlt.html#Lean.Compiler.LCNF.Simp.addDefaultAlt","doc":"Add a default case to the given `cases` alternatives if there\nare alternatives with equivalent (aka alpha equivalent) right hand sides.\n"},"Lean.Compiler.LCNF.Simp.State.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L64-L64","name":"Lean.Compiler.LCNF.Simp.State.visited","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.visited","doc":"Number of visited `let-declarations` and terminal values.\nThis is a performance counter, and currently has no impact on code generation.\n"},"Lean.Compiler.LCNF.Simp.State.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L46-L46","name":"Lean.Compiler.LCNF.Simp.State.used","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.used","doc":"Track used local declarations to be able to eliminate dead variables.\n"},"Lean.Compiler.LCNF.Simp.State.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.State.subst","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.subst","doc":"Free variable substitution. We use it to implement inlining and removing redundant variables `let _x.i := _x.j`\n"},"Lean.Compiler.LCNF.Simp.State.simplified":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L59-L59","name":"Lean.Compiler.LCNF.Simp.State.simplified","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.simplified","doc":"`true` if some simplification was performed in the current simplification pass.\n"},"Lean.Compiler.LCNF.Simp.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.mk","doc":""},"Lean.Compiler.LCNF.Simp.State.inlineLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L74-L74","name":"Lean.Compiler.LCNF.Simp.State.inlineLocal","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inlineLocal","doc":"Number of local functions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.inline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L69-L69","name":"Lean.Compiler.LCNF.Simp.State.inline","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.inline","doc":"Number of definitions inlined.\nThis is a performance counter.\n"},"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L55-L55","name":"Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.funDeclInfoMap","doc":"Mapping used to decide whether a local function declaration must be inlined or not.\n"},"Lean.Compiler.LCNF.Simp.State.binderRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L51-L51","name":"Lean.Compiler.LCNF.Simp.State.binderRenaming","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State.binderRenaming","doc":"Mapping containing free variables ids that need to be renamed (i.e., the `binderName`).\nWe use this map to preserve user provide names.\n"},"Lean.Compiler.LCNF.Simp.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L38-L74","name":"Lean.Compiler.LCNF.Simp.State","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.State","doc":""},"Lean.Compiler.LCNF.Simp.SimpM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L76-L76","name":"Lean.Compiler.LCNF.Simp.SimpM","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.SimpM","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L55-L56","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap.isCandidate","doc":"Return `true` if the collected information suggests opportunities for the `JpCases` optimization. "},"Lean.Compiler.LCNF.Simp.JpCasesInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L52-L52","name":"Lean.Compiler.LCNF.Simp.JpCasesInfoMap","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfoMap","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L44-L44","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","line":44,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.paramIdx","doc":"Parameter index returned by `isJpCases?`. This parameter is the one the join point is performing the case-split. "},"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L49-L49","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","line":49,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo.ctorNames","doc":"Set of constructor names s.t. `ctorName` is in the set if there is a jump to the join point where the parameter\n`paramIdx` is a constructor application.\n"},"Lean.Compiler.LCNF.Simp.JpCasesInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L42-L50","name":"Lean.Compiler.LCNF.Simp.JpCasesInfo","line":42,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesInfo","doc":"Information for join points that satisfy `isJpCases?`\n"},"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.mk","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L102-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.dependsOnDiscr","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L101-L101","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.default","line":101,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.default","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L100-L100","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt.decl","doc":""},"Lean.Compiler.LCNF.Simp.JpCasesAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L99-L102","name":"Lean.Compiler.LCNF.Simp.JpCasesAlt","line":99,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.JpCasesAlt","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.value","doc":"Value (lambda expression) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.recursive","doc":"`recursive = true` if the declaration being inline is in a mutually recursive block. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.params","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L16-L16","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.isLocal","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L23-L23","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.ifReduce","doc":"`ifReduce = true` if the declaration being inlined was tagged with `inline_if_reduce`. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L20-L20","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.fType","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L28-L29","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.arity","doc":"The arity (aka number of parameters) of the function to be inlined. "},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L21-L21","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo.args","doc":""},"Lean.Compiler.LCNF.Simp.InlineCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/InlineCandidate.lean#L15-L25","name":"Lean.Compiler.LCNF.Simp.InlineCandidateInfo","line":15,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/InlineCandidate.html#Lean.Compiler.LCNF.Simp.InlineCandidateInfo","doc":"Result of `inlineCandidate?`.\nIt contains information for inlining local and global functions.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L112-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","line":112,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.go","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L103-L110","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","line":103,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addLetValueOccs","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L96-L101","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","line":96,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update.addArgOcc","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L92-L127","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","line":92,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.update","doc":"Traverse `code` and update function occurrence map.\nThis map is used to decide whether we inline local functions or not.\nIf `mustInline := true`, then all local function declarations occurring in\n`code` are tagged as `.mustInline`.\nRecall that we use `.mustInline` for local function declarations occurring in type class instances.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L80-L83","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","line":80,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.restore","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.mk","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.map","doc":"Mapping from local function name to inlining information.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L45-L50","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","line":45,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.format","doc":""},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L76-L78","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","line":76,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addMustInline","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L66-L71","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","line":66,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.addHo","doc":"Add new occurrence for the local function occurring as an argument for another function.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L55-L61","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap.add","doc":"Add new occurrence for the local function with binder name `key`.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfoMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L38-L43","name":"Lean.Compiler.LCNF.Simp.FunDeclInfoMap","line":38,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfoMap","doc":"Local function declaration statistics.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.once":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L20-L23","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.once","line":20,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.once","doc":"Local function is applied once, and must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L29-L32","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","line":29,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.mustInline","doc":"Function must be inlined.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo.many":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L24-L28","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo.many","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo.many","doc":"Local function is applied many times or occur as an argument of another function,\nand will only be inlined if it is small.\n"},"Lean.Compiler.LCNF.Simp.FunDeclInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/FunDeclInfo.lean#L19-L33","name":"Lean.Compiler.LCNF.Simp.FunDeclInfo","line":19,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Simp/FunDeclInfo.html#Lean.Compiler.LCNF.Simp.FunDeclInfo","doc":"Local function usage information used to decide whether it should be inlined or not.\nThe information is an approximation, but it is on the \"safe\" side. That is, if we tagged\na function with `.once`, then it is applied only once. A local function may be marked as\n`.many`, but after simplifications the number of applications may reduce to 1. This is not\na big problem in practice because we run the simplifier multiple times, and this information\nis recomputed from scratch at the beginning of each simplification step.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.mk","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.discrCtorMap","doc":"A mapping from discriminant to constructor application it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L41-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context.ctorDiscrMap","doc":"A mapping from constructor application to discriminant it is equal to in the current context.\n"},"Lean.Compiler.LCNF.Simp.DiscrM.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L33-L41","name":"Lean.Compiler.LCNF.Simp.DiscrM.Context","line":33,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM.Context","doc":""},"Lean.Compiler.LCNF.Simp.DiscrM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L47-L47","name":"Lean.Compiler.LCNF.Simp.DiscrM","line":47,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.DiscrM","doc":"Helper monad for tracking mappings from discriminant to constructor applications and back.\nThe combinator `withDiscrCtor` should be used when visiting `cases` alternatives.\n"},"Lean.Compiler.LCNF.Simp.CtorInfo.natVal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L16-L17","name":"Lean.Compiler.LCNF.Simp.CtorInfo.natVal","line":16,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.natVal","doc":"Natural numbers are morally constructor applications "},"Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L24-L26","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getNumParams","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L28-L31","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getNumFields","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.getName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L19-L22","name":"Lean.Compiler.LCNF.Simp.CtorInfo.getName","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.getName","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo.ctor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L15-L15","name":"Lean.Compiler.LCNF.Simp.CtorInfo.ctor","line":15,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo.ctor","doc":""},"Lean.Compiler.LCNF.Simp.CtorInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/DiscrM.lean#L14-L17","name":"Lean.Compiler.LCNF.Simp.CtorInfo","line":14,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Simp/DiscrM.html#Lean.Compiler.LCNF.Simp.CtorInfo","doc":""},"Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/JpCases.lean#L104-L104","name":"Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/JpCases.html#Lean.Compiler.LCNF.Simp.Ctor2JpCasesAlt","doc":""},"Lean.Compiler.LCNF.Simp.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.mk","doc":""},"Lean.Compiler.LCNF.Simp.Context.inlineStackOccs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L36-L36","name":"Lean.Compiler.LCNF.Simp.Context.inlineStackOccs","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.inlineStackOccs","doc":"Mapping from declaration names to number of occurrences at `inlineStack`\n"},"Lean.Compiler.LCNF.Simp.Context.inlineStack":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Context.inlineStack","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.inlineStack","doc":"Stack of global declarations being recursively inlined.\n"},"Lean.Compiler.LCNF.Simp.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L27-L27","name":"Lean.Compiler.LCNF.Simp.Context.declName","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.declName","doc":"Name of the declaration being simplified.\nWe currently use this information because we are generating phase1 declarations on demand,\nand it may trigger non-termination when trying to access the phase1 declaration.\n"},"Lean.Compiler.LCNF.Simp.Context.config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L28-L28","name":"Lean.Compiler.LCNF.Simp.Context.config","line":28,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context.config","doc":""},"Lean.Compiler.LCNF.Simp.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/SimpM.lean#L21-L36","name":"Lean.Compiler.LCNF.Simp.Context","line":21,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/SimpM.html#Lean.Compiler.LCNF.Simp.Context","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L359-L363","name":"Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","line":359,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.stringFolders","doc":"All string folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L336-L354","name":"Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","line":336,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.relationFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L413-L415","name":"Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","line":413,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.registerFolder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L79-L80","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L153-L158","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","line":153,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkPseudoArrayLiteral","doc":"Turn an `#[a, b, c]` into:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n_x.26\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L104-L108","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","line":104,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L68-L69","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","line":68,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L90-L92","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","line":90,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L60-L62","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","line":60,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLit","doc":"A wrapper around `mkAuxLetDecl` that also calls `mkLit`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L50-L53","name":"Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.mkAuxLetDecl","doc":"A wrapper around `LCNF.mkAuxLetDecl` that will automatically store the\n`LetDecl` in the state of `FolderM`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L110-L110","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","line":110,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt8","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L113-L113","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","line":113,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt64","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L112-L112","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","line":112,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt32","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L111-L111","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","line":111,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralUInt16","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L82-L84","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","line":82,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralString","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L71-L73","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","line":71,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralNat","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L114-L114","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","line":114,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralChar","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L94-L96","name":"Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","line":94,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.instLiteralBool","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L302-L304","name":"Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","line":302,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.higherOrderLiteralFolders","doc":"Literal folders for higher order datastructures.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L75-L77","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","line":75,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getStringLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L133-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","line":133,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral.go","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L130-L140","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","line":130,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getPseudoListLiteral","doc":"Turns an expression chain of the form\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ a _x.1\nlet _x.3 := @List.cons _ b _x.2\nlet _x.4 := @List.cons _ c _x.3\nlet _x.5 := @List.cons _ d _x.4\nlet _x.6 := @List.cons _ e _x.5\n```\ninto: `[a, b, c, d ,e]` + The type contained in the list\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L64-L66","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getNatLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L417-L418","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","line":417,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L86-L88","name":"Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","line":86,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.getBoolLit","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L398-L411","name":"Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.folderExt","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L423-L424","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","line":423,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldConstants","doc":"Apply a list of default folders to `decl`\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L178-L183","name":"Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","line":178,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.foldArrayLiteral","doc":"Evaluate array literals at compile time, that is turn:\n```\nlet _x.1 := @List.nil _\nlet _x.2 := @List.cons _ z _x.1\nlet _x.3 := @List.cons _ y _x.2\nlet _x.4 := @List.cons _ x _x.3\nlet _x.5 := @List.toArray _ _x.4\n```\nTo its array form:\n```\nlet _x.12 := 3\nlet _x.8 := @Array.mkEmpty _ _x.12\nlet _x.22 := @Array.push _ _x.8 x\nlet _x.24 := @Array.push _ _x.22 y\nlet _x.26 := @Array.push _ _x.24 z\n```\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L387-L389","name":"Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","line":387,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.builtinFolders","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L312-L334","name":"Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","line":312,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.arithmeticFolders","doc":"All arithmetic folders.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L368-L376","name":"Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","line":368,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.applyFolders","doc":"Apply all known folders to `decl`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L42-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","line":42,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal.mkLit","doc":"Turn a value of type `α` into a series of auxiliary `LetDecl`s + a\nfinal `Expr` putting them all together into a literal of type `α`,\nwhere 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Note that this function\ndoes assume that the provided `Expr` does indeed have type `α`.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Literal":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L30-L42","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Literal","line":30,"kind":"class","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Literal","doc":"A typeclass for detecting and producing literals of arbitrary types\ninside of LCNF.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L393-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","line":393,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.folderDeclName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L392-L392","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","line":392,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry.declName","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L391-L393","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","line":391,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderOleanEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L17-L17","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderM","doc":"A constant folding monad, the additional state stores auxiliary declarations\nrequired to build the new constant.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.mk","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L396-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","line":396,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry.folder","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L395-L396","name":"Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","line":395,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.FolderEntry","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L224-L228","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightNeutral","doc":"Provide a folder for an operation with a right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L242-L246","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","line":242,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.rightAnnihilator","doc":"Provide a folder for an operation with a right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L306-L307","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","line":306,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L257-L264","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","line":257,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulRhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L266-L273","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","line":266,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mulLhsShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L188-L192","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","line":188,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkUnary","doc":"Turn a unary function such as `Nat.succ` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L203-L210","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","line":203,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinaryDecisionProcedure","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L197-L201","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","line":197,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.mkBinary","doc":"Turn a binary function such as `Nat.add` into a constant folder.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L290-L291","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","line":290,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightNeutral","doc":"Provide a folder for an operation that has the same left and right neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L296-L297","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","line":296,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftRightAnnihilator","doc":"Provide a folder for an operation that has the same left and right annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L215-L219","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","line":215,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftNeutral","doc":"Provide a folder for an operation with a left neutral element.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L233-L237","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","line":233,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.leftAnnihilator","doc":"Provide a folder for an operation with a left annihilator.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L278-L285","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","line":278,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.first","doc":"Pick the first folder out of `folders` that succeeds.\n"},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L248-L255","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","line":248,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder.divShift","doc":""},"Lean.Compiler.LCNF.Simp.ConstantFold.Folder":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/ConstantFold.lean#L24-L24","name":"Lean.Compiler.LCNF.Simp.ConstantFold.Folder","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/ConstantFold.html#Lean.Compiler.LCNF.Simp.ConstantFold.Folder","doc":"A constant folder for a specific function, takes all the arguments of a\ncertain function and produces a new `Expr` + auxiliary declarations in\nthe `FolderM` monad on success. If the folding fails it returns `none`.\n"},"Lean.Compiler.LCNF.Simp.Config.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L1-L1","name":"Lean.Compiler.LCNF.Simp.Config.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.mk","doc":""},"Lean.Compiler.LCNF.Simp.Config.inlinePartial":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L25-L25","name":"Lean.Compiler.LCNF.Simp.Config.inlinePartial","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlinePartial","doc":"If `inlinePartial` is `true`, we inline partial function applications tagged\nwith `[inline]`. Note that this option is automatically disabled when processing\ndeclarations tagged with `[inline]`, marked to be specialized, or instances.\n"},"Lean.Compiler.LCNF.Simp.Config.inlineDefs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L37-L37","name":"Lean.Compiler.LCNF.Simp.Config.inlineDefs","line":37,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.inlineDefs","doc":"If `inlineDefs` is `true` then top-level definitions are inlined when they are small are\nannotated with inlining attributes.\n"},"Lean.Compiler.LCNF.Simp.Config.implementedBy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L32-L32","name":"Lean.Compiler.LCNF.Simp.Config.implementedBy","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.implementedBy","doc":"If `implementedBy` is `true`, we apply the `implemented_by` replacements.\nRemark: we only apply `casesOn` replacements at phase 2 because `cases` constructor\nmay not have enough information for reconstructing the original `casesOn` application at\nphase 1.\n"},"Lean.Compiler.LCNF.Simp.Config.etaPoly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L19-L19","name":"Lean.Compiler.LCNF.Simp.Config.etaPoly","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config.etaPoly","doc":"If `etaPoly` is true, we eta expand any global function application when\nthe function takes local instances. The idea is that we do not generate code\nfor this kind of application, and we want all of them to specialized or inlined.\n"},"Lean.Compiler.LCNF.Simp.Config":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp/Config.lean#L13-L38","name":"Lean.Compiler.LCNF.Simp.Config","line":13,"kind":"structure","docLink":"./Lean/Compiler/LCNF/Simp/Config.html#Lean.Compiler.LCNF.Simp.Config","doc":"Configuration options for `Simp` that are not controlled using `set_option`.\nRecall that we have multiple `Simp` passes and they use different configurations.\n"},"Lean.Compiler.LCNF.ScopeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/MonadScope.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeT","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.ScopeT","doc":""},"Lean.Compiler.LCNF.ScopeM.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L32-L35","name":"Lean.Compiler.LCNF.ScopeM.withNewScope","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withNewScope","doc":"Clear the current scope for the monadic action `x`, afterwards continuing\nwith the old one.\n"},"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L24-L26","name":"Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.withBackTrackingScope","doc":"Execute `x` but recover the previous scope after doing so.\n"},"Lean.Compiler.LCNF.ScopeM.setScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L18-L18","name":"Lean.Compiler.LCNF.ScopeM.setScope","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.setScope","doc":""},"Lean.Compiler.LCNF.ScopeM.isInScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L41-L43","name":"Lean.Compiler.LCNF.ScopeM.isInScope","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.isInScope","doc":"Check whether `fvarId` is in the current scope, that is, was declared within\nthe current `fun` declaration that is being processed.\n"},"Lean.Compiler.LCNF.ScopeM.getScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L17-L17","name":"Lean.Compiler.LCNF.ScopeM.getScope","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.getScope","doc":""},"Lean.Compiler.LCNF.ScopeM.clearScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L19-L19","name":"Lean.Compiler.LCNF.ScopeM.clearScope","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.clearScope","doc":""},"Lean.Compiler.LCNF.ScopeM.addToScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L48-L49","name":"Lean.Compiler.LCNF.ScopeM.addToScope","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM.addToScope","doc":"Add a new `FVarId` to the current scope.\n"},"Lean.Compiler.LCNF.ScopeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ScopeM.lean#L13-L13","name":"Lean.Compiler.LCNF.ScopeM","line":13,"kind":"def","docLink":"./Lean/Compiler/LCNF/ScopeM.html#Lean.Compiler.LCNF.ScopeM","doc":"A general abstraction for the idea of a scope in the compiler.\n"},"Lean.Compiler.LCNF.Scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/MonadScope.lean#L10-L10","name":"Lean.Compiler.LCNF.Scope","line":10,"kind":"def","docLink":"./Lean/Compiler/LCNF/MonadScope.html#Lean.Compiler.LCNF.Scope","doc":""},"Lean.Compiler.LCNF.Renaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Renaming.lean#L12-L12","name":"Lean.Compiler.LCNF.Renaming","line":12,"kind":"def","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Renaming","doc":"A mapping from free variable id to binder name.\n"},"Lean.Compiler.LCNF.ReduceJpArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L18-L60","name":"Lean.Compiler.LCNF.ReduceJpArity.reduce","line":18,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceJpArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L16-L16","name":"Lean.Compiler.LCNF.ReduceJpArity.ReduceM","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.ReduceJpArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L124-L141","name":"Lean.Compiler.LCNF.ReduceArity.reduce","line":124,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.reduce","doc":""},"Lean.Compiler.LCNF.ReduceArity.ReduceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L122-L122","name":"Lean.Compiler.LCNF.ReduceArity.ReduceM","line":122,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.ReduceM","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.paramMask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L120-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context.paramMask","line":120,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.paramMask","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L1-L1","name":"Lean.Compiler.LCNF.ReduceArity.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.mk","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.declName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L118-L118","name":"Lean.Compiler.LCNF.ReduceArity.Context.declName","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.declName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L119-L119","name":"Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","line":119,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context.auxDeclName","doc":""},"Lean.Compiler.LCNF.ReduceArity.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L117-L120","name":"Lean.Compiler.LCNF.ReduceArity.Context","line":117,"kind":"structure","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.ReduceArity.Context","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L26-L27","name":"Lean.Compiler.LCNF.PullLetDecls.withParams","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withParams","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withNewScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L29-L30","name":"Lean.Compiler.LCNF.PullLetDecls.withNewScope","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withNewScope","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L23-L24","name":"Lean.Compiler.LCNF.PullLetDecls.withFVar","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withFVar","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L36-L46","name":"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","line":36,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withCheckpoint.go","doc":""},"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L32-L49","name":"Lean.Compiler.LCNF.PullLetDecls.withCheckpoint","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.withCheckpoint","doc":""},"Lean.Compiler.LCNF.PullLetDecls.shouldPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L55-L60","name":"Lean.Compiler.LCNF.PullLetDecls.shouldPull","line":55,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.shouldPull","doc":""},"Lean.Compiler.LCNF.PullLetDecls.pullDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L68-L84","name":"Lean.Compiler.LCNF.PullLetDecls.pullDecls","line":68,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.pullDecls","doc":""},"Lean.Compiler.LCNF.PullLetDecls.pullAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L63-L66","name":"Lean.Compiler.LCNF.PullLetDecls.pullAlt","line":63,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.pullAlt","doc":""},"Lean.Compiler.LCNF.PullLetDecls.attachToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L51-L53","name":"Lean.Compiler.LCNF.PullLetDecls.attachToPull","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.attachToPull","doc":""},"Lean.Compiler.LCNF.PullLetDecls.State.toPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L19-L19","name":"Lean.Compiler.LCNF.PullLetDecls.State.toPull","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.State.toPull","doc":""},"Lean.Compiler.LCNF.PullLetDecls.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L1-L1","name":"Lean.Compiler.LCNF.PullLetDecls.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.State.mk","doc":""},"Lean.Compiler.LCNF.PullLetDecls.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L18-L19","name":"Lean.Compiler.LCNF.PullLetDecls.State","line":18,"kind":"structure","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.State","doc":""},"Lean.Compiler.LCNF.PullLetDecls.PullM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L88-L89","name":"Lean.Compiler.LCNF.PullLetDecls.PullM.run","line":88,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.PullM.run","doc":""},"Lean.Compiler.LCNF.PullLetDecls.PullM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L21-L21","name":"Lean.Compiler.LCNF.PullLetDecls.PullM","line":21,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.PullM","doc":""},"Lean.Compiler.LCNF.PullLetDecls.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L1-L1","name":"Lean.Compiler.LCNF.PullLetDecls.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.Context.mk","doc":""},"Lean.Compiler.LCNF.PullLetDecls.Context.isCandidateFn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L15-L15","name":"Lean.Compiler.LCNF.PullLetDecls.Context.isCandidateFn","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.Context.isCandidateFn","doc":""},"Lean.Compiler.LCNF.PullLetDecls.Context.included":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L16-L16","name":"Lean.Compiler.LCNF.PullLetDecls.Context.included","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.Context.included","doc":""},"Lean.Compiler.LCNF.PullLetDecls.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L14-L16","name":"Lean.Compiler.LCNF.PullLetDecls.Context","line":14,"kind":"structure","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.PullLetDecls.Context","doc":""},"Lean.Compiler.LCNF.PullFunDecls.pull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L146-L163","name":"Lean.Compiler.LCNF.PullFunDecls.pull","line":146,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.pull","doc":"Pull local function declarations and join points in `code`.\nThe state contains the declarations being pulled.\n"},"Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L20-L20","name":"Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull","line":20,"kind":"instance","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.instInhabitedToPull","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findParamsDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L64-L68","name":"Lean.Compiler.LCNF.PullFunDecls.findParamsDeps","line":64,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findParamsDeps","doc":"Similar to `findFVarDeps`. Extract from the state any local function declarations that depends on the given\nparameters.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L40-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L32-L47","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDirectDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable. The idea is that we have to stop pulling these declarations because they\ndepend on `fvarId`.\n"},"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L49-L54","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","line":49,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDepsFixpoint","doc":""},"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L56-L58","name":"Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.findFVarDeps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L117-L119","name":"Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","line":117,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachParamsDeps","doc":"Similar to `attachFVarDeps`. Extract from the state any local function declarations that depends on the given\nparameters, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attachJps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L121-L125","name":"Lean.Compiler.LCNF.PullFunDecls.attachJps","line":121,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachJps","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L109-L111","name":"Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","line":109,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attachFVarDeps","doc":"Extract from the state any local function declarations that depends on the given\nfree variable, **and** attach to code `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.attach.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L91-L92","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visited","line":91,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visited","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.visit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L94-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach.visit","line":94,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.visit","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L87-L89","name":"Lean.Compiler.LCNF.PullFunDecls.attach.go","line":87,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach.go","doc":""},"Lean.Compiler.LCNF.PullFunDecls.attach":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L82-L103","name":"Lean.Compiler.LCNF.PullFunDecls.attach","line":82,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.attach","doc":"Attach the given array of local function declarations and join points to `k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.addToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L131-L140","name":"Lean.Compiler.LCNF.PullFunDecls.addToPull","line":131,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.addToPull","doc":"Add local function declaration (or join point if `isFun = false`) to the state.\n"},"Lean.Compiler.LCNF.PullFunDecls.ToPull.used":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L19-L19","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.used","line":19,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.used","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L1-L1","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.mk","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L17-L17","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.isFun","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.decl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L18-L18","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.decl","line":18,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.decl","doc":""},"Lean.Compiler.LCNF.PullFunDecls.ToPull.attach":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L73-L77","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull.attach","line":73,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull.attach","doc":"Construct the code `fun p.decl k` or `jp p.decl k`.\n"},"Lean.Compiler.LCNF.PullFunDecls.ToPull":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L16-L20","name":"Lean.Compiler.LCNF.PullFunDecls.ToPull","line":16,"kind":"structure","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.ToPull","doc":"Local function declaration and join point being pulled.\n"},"Lean.Compiler.LCNF.PullFunDecls.PullM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L25-L25","name":"Lean.Compiler.LCNF.PullFunDecls.PullM","line":25,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.PullFunDecls.PullM","doc":"The `PullM` state contains the local function declarations and join points being pulled.\n"},"Lean.Compiler.LCNF.Phase.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PassManager.lean#L13-L16","name":"Lean.Compiler.LCNF.Phase.toNat","line":13,"kind":"def","docLink":"./Lean/Compiler/LCNF/PassManager.html#Lean.Compiler.LCNF.Phase.toNat","doc":""},"Lean.Compiler.LCNF.Phase.mono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CompilerM.lean#L19-L20","name":"Lean.Compiler.LCNF.Phase.mono","line":19,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/CompilerM.html#Lean.Compiler.LCNF.Phase.mono","doc":"In this phase polymorphism has been eliminated. 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"},"Lean.Compiler.LCNF.LambdaLifting.LiftM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L56-L56","name":"Lean.Compiler.LCNF.LambdaLifting.LiftM","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.LiftM","doc":"Monad for applying lambda lifting. "},"Lean.Compiler.LCNF.LambdaLifting.Context.suffix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L26-L26","name":"Lean.Compiler.LCNF.LambdaLifting.Context.suffix","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.suffix","doc":"Suffix for the new auxiliary declarations being created. "},"Lean.Compiler.LCNF.LambdaLifting.Context.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L1-L1","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mk","doc":""},"Lean.Compiler.LCNF.LambdaLifting.Context.minSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L41-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context.minSize","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.minSize","doc":"Only local functions with `size > minSize` are lambda lifted.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L31-L31","name":"Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.mainDecl","doc":"Declaration where lambda lifting is being applied.\nWe use it to provide the \"base name\" for auxiliary declarations and the flag `safe`.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L24-L24","name":"Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","line":24,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.liftInstParamOnly","doc":"If `liftInstParamOnly` is `true`, then only local functions that take\nlocal instances as parameters are lambda lifted.\n"},"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L36-L36","name":"Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","line":36,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context.inheritInlineAttrs","doc":"If true, the lambda-lifted functions inherit the inline attribute from `mainDecl`.\nWe use this feature to implement `@[inline] instance ...` and `@[always_inline] instance ...`\n"},"Lean.Compiler.LCNF.LambdaLifting.Context":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L19-L41","name":"Lean.Compiler.LCNF.LambdaLifting.Context","line":19,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.LambdaLifting.Context","doc":"Context for the `LiftM` monad. "},"Lean.Compiler.LCNF.LCtx.toLocalContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L63-L71","name":"Lean.Compiler.LCNF.LCtx.toLocalContext","line":63,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.toLocalContext","doc":"Convert a LCNF local context into a regular Lean local context.\n"},"Lean.Compiler.LCNF.LCtx.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L15-L15","name":"Lean.Compiler.LCNF.LCtx.params","line":15,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.params","doc":""},"Lean.Compiler.LCNF.LCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L1-L1","name":"Lean.Compiler.LCNF.LCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.mk","doc":""},"Lean.Compiler.LCNF.LCtx.letDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L16-L16","name":"Lean.Compiler.LCNF.LCtx.letDecls","line":16,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.letDecls","doc":""},"Lean.Compiler.LCNF.LCtx.funDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L17-L17","name":"Lean.Compiler.LCNF.LCtx.funDecls","line":17,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.funDecls","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L32-L33","name":"Lean.Compiler.LCNF.LCtx.eraseParams","line":32,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParams","doc":""},"Lean.Compiler.LCNF.LCtx.eraseParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L29-L30","name":"Lean.Compiler.LCNF.LCtx.eraseParam","line":29,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseParam","doc":""},"Lean.Compiler.LCNF.LCtx.eraseLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L35-L36","name":"Lean.Compiler.LCNF.LCtx.eraseLetDecl","line":35,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L39-L44","name":"Lean.Compiler.LCNF.LCtx.eraseFunDecl","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx.eraseCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L52-L57","name":"Lean.Compiler.LCNF.LCtx.eraseCode","line":52,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseCode","doc":""},"Lean.Compiler.LCNF.LCtx.eraseAlts":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L46-L50","name":"Lean.Compiler.LCNF.LCtx.eraseAlts","line":46,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.eraseAlts","doc":""},"Lean.Compiler.LCNF.LCtx.addParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L20-L21","name":"Lean.Compiler.LCNF.LCtx.addParam","line":20,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addParam","doc":""},"Lean.Compiler.LCNF.LCtx.addLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L23-L24","name":"Lean.Compiler.LCNF.LCtx.addLetDecl","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addLetDecl","doc":""},"Lean.Compiler.LCNF.LCtx.addFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L26-L27","name":"Lean.Compiler.LCNF.LCtx.addFunDecl","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx.addFunDecl","doc":""},"Lean.Compiler.LCNF.LCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LCtx.lean#L14-L18","name":"Lean.Compiler.LCNF.LCtx","line":14,"kind":"structure","docLink":"./Lean/Compiler/LCNF/LCtx.html#Lean.Compiler.LCNF.LCtx","doc":"LCNF local context.\n"},"Lean.Compiler.LCNF.JoinPointFinder.replace.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L183-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace.go","line":183,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.replace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L177-L214","name":"Lean.Compiler.LCNF.JoinPointFinder.replace","line":177,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.replace","doc":"Replace all join point candidate `fun` declarations with `jp` ones\nand all calls to them with `jmp`s.\n"},"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L32-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.instInhabitedCandidateInfo","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L138-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find.go","line":138,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find.go","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.find":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L134-L171","name":"Lean.Compiler.LCNF.JoinPointFinder.find","line":134,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.find","doc":"Find all `fun` declarations that qualify as a join point, that is:\n- are always fully applied\n- are always called in tail position\n\nWhere a `fun` `f` is in tail position iff it is called as follows:\n```\nlet res := f arg\nres\n```\nThe majority (if not all) tail calls will be brought into this form\nby the simplifier pass.\n\nFurthermore a `fun` disqualifies as a join point if turning it into a join\npoint would turn a call to it into an out of scope join point.\nThis can happen if we have something like:\n```\ndef test (b : Bool) (x y : Nat) : Nat :=\n fun myjp x => Nat.add x (Nat.add x x)\n fun f y =>\n let x := Nat.add y y\n myjp x\n fun f y =>\n let x := Nat.mul y y\n myjp x\n cases b (f x) (g y)\n```\n`f` and `g` can be detected as a join point right away, however\n`myjp` can only ever be detected as a join point after we have established\nthis. This is because otherwise the calls to `myjp` in `f` and `g` would\nproduce out of scope join point jumps.\n"},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L51-L51","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","line":51,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L48-L48","name":"Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.ReplaceCtx","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L46-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.scope","doc":"The `FVarId`s of all `fun` declarations that were declared within the\ncurrent `fun`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L41-L41","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","line":41,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState.candidates","doc":"All current join point candidates accessible by their `FVarId`.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L37-L46","name":"Lean.Compiler.LCNF.JoinPointFinder.FindState","line":37,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindState","doc":"The state for the join point candidate finder.\n"},"Lean.Compiler.LCNF.JoinPointFinder.FindM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L50-L50","name":"Lean.Compiler.LCNF.JoinPointFinder.FindM","line":50,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.FindM","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.mk","doc":""},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L31-L31","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","line":31,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.associated","doc":"The set of candidates that rely on this candidate to be a join point.\nFor a more detailed explanation see the documentation of `find`\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L26-L26","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","line":26,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo.arity","doc":"The arity of the candidate\n"},"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L22-L32","name":"Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","line":22,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointFinder.CandidateInfo","doc":"Info about a join point candidate (a `fun` declaration) during the find phase.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L360-L365","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","line":360,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewJpScope","doc":"We call this whenever we enter a new join point. It will set the current\njoin point and extend the list of candidates by all of the parameters of\nthe join point. This is so in the case of nested join points that refer\nto parameters of the current one we extend the context of the nested\njoin points by said parameters.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L348-L351","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","line":348,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewFunScope","doc":"We call this whenever we enter a new local function. It clears both the\ncurrent join point and the list of candidates since we cant lift join\npoints outside of functions as explained in `mergeJpContextIfNecessary`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L283-L293","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","line":283,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidates","doc":"Same as `withNewCandidate` but with multiple `FVarId`s.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L272-L278","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","line":272,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewCandidate","doc":"Add a new candidate to the current scope + to the list of candidates\nif we are currently within a join point. Then execute `x`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L373-L376","name":"Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","line":373,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.withNewAltScope","doc":"We call this whenever we visit a new arm of a cases statement.\nIt will back up the current scope (since we are doing a case split\nand want to continue with other arms afterwards) and add all of the\nparameters of the match arm to the list of candidates.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L261-L266","name":"Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","line":261,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.replaceFVar","doc":"Replace a free variable if necessary, that is:\n- It is in the list of candidates\n- We are currently within a join point (if we are within a function there\n cannot be a need to replace them since we dont extend their context)\n- Said join point actually has a replacement parameter registered.\notherwise just return `fvar`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L337-L341","name":"Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","line":337,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.mergeJpContextIfNecessary","doc":"Merge the extended context of two join points if necessary. That is\nif we have a structure such as:\n```\njp j.1 ... =>\n jp j.2 .. =>\n ...\n ...\n```\nAnd we are just done visiting `j.2` we want to extend the context of\n`j.1` by all free variables that the context of `j.2` was extended by\nas well because we need to drag these variables through at the call sites\nof `j.2` in `j.1`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L313-L321","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","line":313,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extendByIfNecessary","doc":"Extend the context of the current join point (if we are within one)\nby `fvar` if necessary.\nThis is necessary if:\n- `fvar` is not in scope (that is, was declared outside of the current jp)\n- we have not already extended the context by `fvar`\n- the list of candidates contains `fvar`. This is because if we have something\n like:\n ```\n let x := ..\n fun f a =>\n jp j b =>\n let y := x\n y\n ```\n There is no point in extending the context of `j` by `x` because we\n cannot lift a join point outside of a local function declaration.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L395-L397","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","line":395,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.goFVar","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L398-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","line":398,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend.go","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.extend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L390-L439","name":"Lean.Compiler.LCNF.JoinPointContextExtender.extend","line":390,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.extend","doc":"Use all of the above functions to find free variables declared outside\nof join points that said join points can be reasonaly extended by. Reasonable\nmeaning that in case the current join point is nested within a function\ndeclaration we will not extend it by free variables declared before the\nfunction declaration because we cannot lift join points outside of function\ndeclarations.\n\nAll of this is done to eliminate dependencies of join points onto their\nposition within the code so we can pull them out as far as possible, hopefully\nenabling new inlining possibilities in the next simplifier run.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L246-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","line":246,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState.fvarMap","doc":"A map from join point `FVarId`s to a respective map from free variables\nto `Param`s. The free variables in this map are the once that the context\nof said join point will be extended by by passing in the respective parameter.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L240-L246","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","line":240,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendState","doc":"The state managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L251-L251","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","line":251,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendM","doc":"The monad for the `extendJoinPointContext` pass.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.mk","doc":""},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L229-L229","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.currentJp?","doc":"The `FVarId` of the current join point if we are currently inside one.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L235-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","line":235,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext.candidates","doc":"The list of valid candidates for extending the context. This will be\nall `let` and `fun` declarations as well as all `jp` parameters up\nuntil the last `fun` declaration in the tree.\n"},"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L225-L235","name":"Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","line":225,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointContextExtender.ExtendContext","doc":"The context managed by `ExtendM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L561-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","line":561,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goReduce","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L516-L519","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","line":516,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyzeFunDecl","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L521-L559","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","line":521,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce.goAnalyze","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L511-L598","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","line":511,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.reduce","doc":"Take a look at each join point and each of their call sites. If all\ncall sites of a join point have one or more arguments in common, for example:\n```\njp _jp.1 a b c => ...\n...\ncases foo\n| n1 => jmp _jp.1 d e f\n| n2 => jmp _jp.1 g e h\n```\nWe can get rid of the common argument in favour of inlining it directly\ninto the join point (in this case the `e`). This reduces the amount of\narguments we have to pass around drastically for example in `ReaderT` based\nmonad stacks.\n\nNote 1: This transformation can in certain niche cases obtain better results.\nFor example:\n```\njp foo a b => ..\nlet x := ...\ncases discr\n| n1 => jmp foo x y\n| n2 => jmp foo x z\n```\nHere we will not collapse the `x` since it is defined after the join point `foo`\nand thus not accessible for substitution yet. We could however reorder the code in\nsuch a way that this is possible, this is currently not done since we observe\nthan in praxis most of the applications of this transformation can occur naturally\nwithout reordering.\n\nNote 2: This transformation is kind of the opposite of `JoinPointContextExtender`.\nHowever we still benefit from the extender because in the `simp` run after it\nwe might be able to pull join point declarations further up in the hierarchy\nof nested functions/join points which in turn might enable additional optimizations.\nAfter we have performed all of these optimizations we can take away the\n(remaining) common arguments and end up with nicely floated and optimized\ncode that has as little arguments as possible in the join points.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L468-L469","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","line":468,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.isInJpScope","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L465-L465","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","line":465,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceAnalysisM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L466-L466","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.ReduceActionM","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L463-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","line":463,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState.jpJmpArgs","doc":"A map, that for each join point id contains a map from all (so far)\nduplicated argument ids to the respective duplicate value\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L458-L463","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","line":458,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisState","doc":"State for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L1-L1","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.mk","doc":""},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L453-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","line":453,"kind":"def","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx.jpScopes","doc":"The variables that are in scope at the time of the definition of\nthe join point.\n"},"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/JoinPoints.lean#L448-L453","name":"Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","line":448,"kind":"structure","docLink":"./Lean/Compiler/LCNF/JoinPoints.html#Lean.Compiler.LCNF.JoinPointCommonArgs.AnalysisCtx","doc":"Context for `ReduceAnalysisM`.\n"},"Lean.Compiler.LCNF.Internalize.internalizeParam":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L40-L46","name":"Lean.Compiler.LCNF.Internalize.internalizeParam","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeParam","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeLetDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L48-L55","name":"Lean.Compiler.LCNF.Internalize.internalizeLetDecl","line":48,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeLetDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L59-L67","name":"Lean.Compiler.LCNF.Internalize.internalizeFunDecl","line":59,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeFunDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L89-L93","name":"Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","line":89,"kind":"def","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCodeDecl","doc":""},"Lean.Compiler.LCNF.Internalize.internalizeCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L69-L85","name":"Lean.Compiler.LCNF.Internalize.internalizeCode","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.internalizeCode","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L32-L33","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","line":32,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstStateInternalizeM","doc":""},"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Internalize.lean#L29-L30","name":"Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","line":29,"kind":"instance","docLink":"./Lean/Compiler/LCNF/Internalize.html#Lean.Compiler.LCNF.Internalize.instMonadFVarSubstInternalizeMTrue","doc":"The 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It \"translates\" the free variables\nin the input expressions and `Code`, into new fresh free variables in the\nlocal 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context.\n"},"Lean.Compiler.LCNF.FloatLetIn.instReprDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instReprDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instReprDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instInhabitedDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instHashableDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L38-L38","name":"Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","line":38,"kind":"instance","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.instBEqDecision","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialNewArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L149-L152","name":"Lean.Compiler.LCNF.FloatLetIn.initialNewArms","line":149,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialNewArms","doc":"Compute the initial new arms. This will just set up a map from all arms of\n`cs` to empty `Array`s, plus one additional entry for `dont`.\n"},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L132-L137","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","line":132,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L142-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","line":142,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goCases","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L140-L141","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","line":140,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions.goAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.initialDecisions":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L118-L143","name":"Lean.Compiler.LCNF.FloatLetIn.initialDecisions","line":118,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.initialDecisions","doc":"Compute the initial decision for all declarations that `BaseFloatM` collected\nup to this point, with respect to `cs`. The initial decisions are:\n- `dont` if the declaration is detected by `ignore?`\n- `dont` if the declaration is the discriminant of `cs` since we obviously need\n the discriminant to be computed before the match.\n- `dont` if we see the declaration being used in more than one cases arm\n- `arm` or `default` if we see the declaration only being used in exactly one cases arm\n- `unknown` otherwise\n"},"Lean.Compiler.LCNF.FloatLetIn.ignore?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L100-L106","name":"Lean.Compiler.LCNF.FloatLetIn.ignore?","line":100,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.ignore?","doc":"Whether to ignore `decl` for the floating mechanism. We want to do this if:\n- `decl`' is storing a typeclass instance\n- `decl` is a projection from a variable that is storing a typeclass instance\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L249-L261","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","line":249,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.goCases","doc":"Iterate through the collected declarations,\ndetermining from the bottom up whether they (and the declarations they refer to)\nshould get moved down into the arms of the cases statement or not.\n"},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L263-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","line":263,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn.go","doc":""},"Lean.Compiler.LCNF.FloatLetIn.floatLetIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L240-L298","name":"Lean.Compiler.LCNF.FloatLetIn.floatLetIn","line":240,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.floatLetIn","doc":"Iterate throgh `decl`, pushing local declarations that are only used in one\ncontrol flow arm into said arm in order to avoid useless computations.\n"},"Lean.Compiler.LCNF.FloatLetIn.float.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L229-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float.goFVar","line":229,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L224-L234","name":"Lean.Compiler.LCNF.FloatLetIn.float","line":224,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.float","doc":"Will:\n- put `decl` into the arm it is marked to be moved into\n- for any variables that might occur in `decl` and are of interest:\n - if they are already meant to be floated into the same arm or not at all leave them untouched:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => x * y\n | m => z\n ```\n If we are at `y` `x` is alreayd marked to be floated into `n` as well.\n - if there hasn't be a decision yet, that is they are marked with `.unknown` we float\n them into the same arm as the current value:\n ```\n let x := ..\n let y := x + 2\n cases z with\n | n => y\n | m => z\n ```\n Here `x` is initially marked as `.unknown` since it occurs in no branch, however\n since we want to move `y` into the `n` branch we can also decide to move `x`\n into the `n` branch. Note that this decision might be revoked later on in the case of:\n ```\n let x := ..\n let a := x + 1\n let y := x + 2\n cases z with\n | n => y\n | m => a\n ```\n When we visit `a` `x` is now marked as getting moved into `n` but since it also occurs\n in `a` which wants to be moved somewhere else we will instead decide to not move `x`\n at all.\n - if they are meant to be floated somewhere else decide that they wont get floated:\n ```\n let x := ...\n let y := x + z\n cases z with\n | n => y\n | m => x\n ```\n If we are at `y` `x` is still marked to be moved but we don't want that.\n"},"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L174-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","line":174,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat.goFVar","doc":""},"Lean.Compiler.LCNF.FloatLetIn.dontFloat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L170-L176","name":"Lean.Compiler.LCNF.FloatLetIn.dontFloat","line":170,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.dontFloat","doc":"Will:\n- put `decl` into the `dont` arm\n- decide that any free variable that occurs in `decl` and is a declaration\n of interest as not getting moved either.\n```\nlet x := ...\nlet y := ...\nlet z := x + y\ncases z with\n| n => z * x\n| m => z * y\n```\nHere `x` and `y` are originally marked as getting floated into `n` and `m`\nrespectively but since `z` can't be moved we don't want that to move `x` and `y`.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L69-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.newArms","doc":"A map from decisions (excluding `unknown`) to the declarations with\nthese decisions (in correct order). Basically:\n- Which declarations do we not move\n- Which declarations do we move into a certain arm\n- Which declarations do we move into the default arm\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L61-L61","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","line":61,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState.decision","doc":"A map from identifiers of declarations to their current decision.\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L57-L69","name":"Lean.Compiler.LCNF.FloatLetIn.FloatState","line":57,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatState","doc":"The state for `FloatM`\n"},"Lean.Compiler.LCNF.FloatLetIn.FloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L79-L79","name":"Lean.Compiler.LCNF.FloatLetIn.FloatM","line":79,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.FloatM","doc":"Use to compute the actual floating.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L33-L37","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","line":33,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.unknown","doc":"No decision has been made yet.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L40-L42","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.ofAlt","doc":""},"Lean.Compiler.LCNF.FloatLetIn.Decision.dont":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L28-L32","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.dont","line":28,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.dont","doc":"Dont move this declaration it is needed where it is right now.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L24-L27","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.default","line":24,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.default","doc":"Push into the default arm.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision.arm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L19-L23","name":"Lean.Compiler.LCNF.FloatLetIn.Decision.arm","line":19,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision.arm","doc":"Push into the arm with name `name`.\n"},"Lean.Compiler.LCNF.FloatLetIn.Decision":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L18-L38","name":"Lean.Compiler.LCNF.FloatLetIn.Decision","line":18,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.Decision","doc":"The decision of the float mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L74-L74","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","line":74,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatM","doc":"Use to collect relevant declarations for the floating mechanism.\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L1-L1","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.mk","doc":""},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L52-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","line":52,"kind":"def","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext.decls","doc":"All the declarations that were collected in the current LCNF basic\nblock up to the current statement (in reverse order for efficiency).\n"},"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/FloatLetIn.lean#L47-L52","name":"Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","line":47,"kind":"structure","docLink":"./Lean/Compiler/LCNF/FloatLetIn.html#Lean.Compiler.LCNF.FloatLetIn.BaseFloatContext","doc":"The context for 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free variable substitution.\nWe use these substitutions when inlining definitions and \"internalizing\" LCNF code into `CompilerM`.\nDuring the internalization process, we ensure all free variables in the LCNF code do not collide with existing ones\nat the `CompilerM` local context.\nRemark: in LCNF, (computationally relevant) data is in A-normal form, but this is not the case for types and type formers.\nSo, when inlining we often want to replace a free variable with a type or type former.\n\nThe substitution contains entries `fvarId ↦ e` s.t., `e` is a valid LCNF argument. 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Note that this is an erased LCNF type\ninstead of the fully dependent one that might have been the original\ntype of the declaration in the `Environment`.\n"},"Lean.Compiler.LCNF.Decl.toMono.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToMono.lean#L138-L144","name":"Lean.Compiler.LCNF.Decl.toMono.go","line":138,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono.go","doc":""},"Lean.Compiler.LCNF.Decl.toMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToMono.lean#L135-L144","name":"Lean.Compiler.LCNF.Decl.toMono","line":135,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToMono.html#Lean.Compiler.LCNF.Decl.toMono","doc":""},"Lean.Compiler.LCNF.Decl.toExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ToExpr.lean#L112-L113","name":"Lean.Compiler.LCNF.Decl.toExpr","line":112,"kind":"def","docLink":"./Lean/Compiler/LCNF/ToExpr.html#Lean.Compiler.LCNF.Decl.toExpr","doc":""},"Lean.Compiler.LCNF.Decl.specialize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Specialize.lean#L332-L334","name":"Lean.Compiler.LCNF.Decl.specialize","line":332,"kind":"def","docLink":"./Lean/Compiler/LCNF/Specialize.html#Lean.Compiler.LCNF.Decl.specialize","doc":""},"Lean.Compiler.LCNF.Decl.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L498-L499","name":"Lean.Compiler.LCNF.Decl.size","line":498,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.size","doc":""},"Lean.Compiler.LCNF.Decl.simp?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp.lean#L23-L38","name":"Lean.Compiler.LCNF.Decl.simp?","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp?","doc":""},"Lean.Compiler.LCNF.Decl.simp.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp.lean#L69-L74","name":"Lean.Compiler.LCNF.Decl.simp.go","line":69,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp.go","doc":""},"Lean.Compiler.LCNF.Decl.simp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Simp.lean#L40-L74","name":"Lean.Compiler.LCNF.Decl.simp","line":40,"kind":"def","docLink":"./Lean/Compiler/LCNF/Simp.html#Lean.Compiler.LCNF.Decl.simp","doc":""},"Lean.Compiler.LCNF.Decl.setLevelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Level.lean#L150-L152","name":"Lean.Compiler.LCNF.Decl.setLevelParams","line":150,"kind":"def","docLink":"./Lean/Compiler/LCNF/Level.html#Lean.Compiler.LCNF.Decl.setLevelParams","doc":"Collect universe level parameters collecting in the type, parameters, and value, and then\nset `decl.levelParams` with the resulting value.\n"},"Lean.Compiler.LCNF.Decl.saveMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L59-L60","name":"Lean.Compiler.LCNF.Decl.saveMono","line":59,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveMono","doc":""},"Lean.Compiler.LCNF.Decl.saveBase":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L56-L57","name":"Lean.Compiler.LCNF.Decl.saveBase","line":56,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.saveBase","doc":""},"Lean.Compiler.LCNF.Decl.save":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PhaseExt.lean#L62-L66","name":"Lean.Compiler.LCNF.Decl.save","line":62,"kind":"def","docLink":"./Lean/Compiler/LCNF/PhaseExt.html#Lean.Compiler.LCNF.Decl.save","doc":""},"Lean.Compiler.LCNF.Decl.safe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L490-L490","name":"Lean.Compiler.LCNF.Decl.safe","line":490,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.safe","doc":"We set this flag to false during LCNF conversion if the Lean function\nassociated with this function was tagged as partial or unsafe. This\ninformation affects how static analyzers treat function applications\nof this kind. See `DefinitionSafety`.\n`partial` and `unsafe` functions may not be terminating, but Lean\nfunctions terminate, and some static analyzers exploit this\nfact. So, we use the following semantics. Suppose whe hav a (large) natural\nnumber `C`. We consider a nondeterministic model for computation of Lean expressions as\nfollows:\nEach call to a partial/unsafe function uses up one \"recursion token\".\nPrior to consuming `C` recursion tokens all partial functions must be called\nas normal. Once the model has used up `C` recursion tokens, a subsequent call to\na partial function has the following nondeterministic options: it can either call\nthe function again, or return any value of the target type (even a noncomputable one).\nLarger values of `C` yield less nondeterminism in the model, but even the intersection of\nall choices of `C` yields nondeterminism where `def loop : A := loop` returns any value of type `A`.\nThe compiler fixes a choice for `C`. This is a fixed constant greater than 2^2^64,\nwhich is allowed to be compiler and architecture dependent, and promises that it will\nproduce an execution consistent with every possible nondeterministic outcome of the `C`-model.\nIn the event that different nondeterministic executions disagree, the compiler is required to\nexhaust resources or output a looping computation.\n"},"Lean.Compiler.LCNF.Decl.reduceJpArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceJpArity.lean#L69-L71","name":"Lean.Compiler.LCNF.Decl.reduceJpArity","line":69,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceJpArity.html#Lean.Compiler.LCNF.Decl.reduceJpArity","doc":"Try to reduce arity of join points\n"},"Lean.Compiler.LCNF.Decl.reduceArity":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/ReduceArity.lean#L147-L178","name":"Lean.Compiler.LCNF.Decl.reduceArity","line":147,"kind":"def","docLink":"./Lean/Compiler/LCNF/ReduceArity.html#Lean.Compiler.LCNF.Decl.reduceArity","doc":""},"Lean.Compiler.LCNF.Decl.recursive":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L466-L466","name":"Lean.Compiler.LCNF.Decl.recursive","line":466,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.recursive","doc":"We set this flag to true during LCNF conversion. When we receive\na block of functions to be compiled, we set this flag to `true`\nif there is an application to the function in the block containing\nit. This is an approximation, but it should be good enough because\nin the frontend, we invoke the compiler with blocks of strongly connected\ncomponents only.\nWe use this information to control inlining.\n"},"Lean.Compiler.LCNF.Decl.pullLetDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L95-L100","name":"Lean.Compiler.LCNF.Decl.pullLetDecls","line":95,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullLetDecls","doc":""},"Lean.Compiler.LCNF.Decl.pullInstances":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullLetDecls.lean#L102-L109","name":"Lean.Compiler.LCNF.Decl.pullInstances","line":102,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullLetDecls.html#Lean.Compiler.LCNF.Decl.pullInstances","doc":""},"Lean.Compiler.LCNF.Decl.pullFunDecls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/PullFunDecls.lean#L173-L176","name":"Lean.Compiler.LCNF.Decl.pullFunDecls","line":173,"kind":"def","docLink":"./Lean/Compiler/LCNF/PullFunDecls.html#Lean.Compiler.LCNF.Decl.pullFunDecls","doc":"Pull local function declarations and join points in the given declaration.\n"},"Lean.Compiler.LCNF.Decl.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L451-L451","name":"Lean.Compiler.LCNF.Decl.params","line":451,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.params","doc":"Parameters.\n"},"Lean.Compiler.LCNF.Decl.noinlineAttr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L507-L508","name":"Lean.Compiler.LCNF.Decl.noinlineAttr","line":507,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.noinlineAttr","doc":""},"Lean.Compiler.LCNF.Decl.name":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L437-L437","name":"Lean.Compiler.LCNF.Decl.name","line":437,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.name","doc":"The name of the declaration from the `Environment` it came from\n"},"Lean.Compiler.LCNF.Decl.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L1-L1","name":"Lean.Compiler.LCNF.Decl.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.mk","doc":""},"Lean.Compiler.LCNF.Decl.levelParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L441-L441","name":"Lean.Compiler.LCNF.Decl.levelParams","line":441,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.levelParams","doc":"Universe level parameter names.\n"},"Lean.Compiler.LCNF.Decl.lambdaLifting":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/LambdaLifting.lean#L156-L158","name":"Lean.Compiler.LCNF.Decl.lambdaLifting","line":156,"kind":"def","docLink":"./Lean/Compiler/LCNF/LambdaLifting.html#Lean.Compiler.LCNF.Decl.lambdaLifting","doc":""},"Lean.Compiler.LCNF.Decl.isTemplateLike":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L605-L613","name":"Lean.Compiler.LCNF.Decl.isTemplateLike","line":605,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isTemplateLike","doc":"Return `true` if `decl` is supposed to be inlined/specialized.\n"},"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L539-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","line":539,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?.go","doc":""},"Lean.Compiler.LCNF.Decl.isCasesOnParam?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L536-L543","name":"Lean.Compiler.LCNF.Decl.isCasesOnParam?","line":536,"kind":"def","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Decl.isCasesOnParam?","doc":"Return `some i` if `decl` is of the form\n```\ndef f (a_0 ... a_i ...) :=\n ...\n cases a_i\n | ...\n | ...\n```\nThat is, `f` is a sequence of declarations followed by a `cases` on the parameter `i`.\nWe use this function to decide whether we should inline a declaration tagged with\n`[inline_if_reduce]` or 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`s`.\n"},"Lean.Compiler.LCNF.Code.cse.goFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CSE.lean#L49-L53","name":"Lean.Compiler.LCNF.Code.cse.goFunDecl","line":49,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CSE.html#Lean.Compiler.LCNF.Code.cse.goFunDecl","doc":""},"Lean.Compiler.LCNF.Code.cse.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CSE.lean#L55-L96","name":"Lean.Compiler.LCNF.Code.cse.go","line":55,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/CSE.html#Lean.Compiler.LCNF.Code.cse.go","doc":""},"Lean.Compiler.LCNF.Code.cse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/CSE.lean#L46-L96","name":"Lean.Compiler.LCNF.Code.cse","line":46,"kind":"def","docLink":"./Lean/Compiler/LCNF/CSE.html#Lean.Compiler.LCNF.Code.cse","doc":""},"Lean.Compiler.LCNF.Code.containsConst.goLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Testing.lean#L27-L30","name":"Lean.Compiler.LCNF.Code.containsConst.goLetValue","line":27,"kind":"def","docLink":"./Lean/Compiler/LCNF/Testing.html#Lean.Compiler.LCNF.Code.containsConst.goLetValue","doc":""},"Lean.Compiler.LCNF.Code.containsConst.goExpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Testing.lean#L19-L26","name":"Lean.Compiler.LCNF.Code.containsConst.goExpr","line":19,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Testing.html#Lean.Compiler.LCNF.Code.containsConst.goExpr","doc":""},"Lean.Compiler.LCNF.Code.containsConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Testing.lean#L11-L30","name":"Lean.Compiler.LCNF.Code.containsConst","line":11,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Testing.html#Lean.Compiler.LCNF.Code.containsConst","doc":""},"Lean.Compiler.LCNF.Code.collectUsed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L647-L660","name":"Lean.Compiler.LCNF.Code.collectUsed","line":647,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.collectUsed","doc":""},"Lean.Compiler.LCNF.Code.cases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L159-L159","name":"Lean.Compiler.LCNF.Code.cases","line":159,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.cases","doc":""},"Lean.Compiler.LCNF.Code.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Bind.lean#L23-L24","name":"Lean.Compiler.LCNF.Code.bind","line":23,"kind":"def","docLink":"./Lean/Compiler/LCNF/Bind.html#Lean.Compiler.LCNF.Code.bind","doc":"Return code that is equivalent to `c >>= f`. That is, executes `c`, and then `f x`, where\n`x` is a variable that contains the result of `c`'s computation.\n\nIf `c` contains a jump to a join point `jp_i` not declared in `c`, we throw an exception because\nan invalid block would be generated. It would be invalid because `f` would not\nbe applied to `jp_i`. Note that, we could have decided to create a copy of `jp_i` where we apply `f` to it,\nby we decided to not do it to avoid code duplication.\n"},"Lean.Compiler.LCNF.Code.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L231-L231","name":"Lean.Compiler.LCNF.Code.beq","line":231,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code.beq","doc":""},"Lean.Compiler.LCNF.Code.applyRenaming":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Renaming.lean#L39-L49","name":"Lean.Compiler.LCNF.Code.applyRenaming","line":39,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Renaming.html#Lean.Compiler.LCNF.Code.applyRenaming","doc":""},"Lean.Compiler.LCNF.Code.alphaEqv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/AlphaEqv.lean#L133-L134","name":"Lean.Compiler.LCNF.Code.alphaEqv","line":133,"kind":"def","docLink":"./Lean/Compiler/LCNF/AlphaEqv.html#Lean.Compiler.LCNF.Code.alphaEqv","doc":"Return `true` if `c₁` and `c₂` are alpha equivalent.\n"},"Lean.Compiler.LCNF.Code":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Basic.lean#L154-L162","name":"Lean.Compiler.LCNF.Code","line":154,"kind":"inductive","docLink":"./Lean/Compiler/LCNF/Basic.html#Lean.Compiler.LCNF.Code","doc":""},"Lean.Compiler.LCNF.Closure.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L148-L150","name":"Lean.Compiler.LCNF.Closure.run","line":148,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.run","doc":""},"Lean.Compiler.LCNF.Closure.markVisited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L65-L66","name":"Lean.Compiler.LCNF.Closure.markVisited","line":65,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.markVisited","doc":"Mark a free variable as already visited.\nWe perform a topological sort over the dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L143-L144","name":"Lean.Compiler.LCNF.Closure.collectType","line":143,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectType","doc":"Collect dependencies of the given expression. "},"Lean.Compiler.LCNF.Closure.collectParams":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L73-L74","name":"Lean.Compiler.LCNF.Closure.collectParams","line":73,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectParams","doc":"Collect dependencies in parameters. We need this because parameters may\ncontain other type parameters.\n"},"Lean.Compiler.LCNF.Closure.collectLetValue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L82-L87","name":"Lean.Compiler.LCNF.Closure.collectLetValue","line":82,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectLetValue","doc":""},"Lean.Compiler.LCNF.Closure.collectFunDecl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L109-L112","name":"Lean.Compiler.LCNF.Closure.collectFunDecl","line":109,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFunDecl","doc":"Collect dependencies of a local function declaration. "},"Lean.Compiler.LCNF.Closure.collectFVar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L118-L140","name":"Lean.Compiler.LCNF.Closure.collectFVar","line":118,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectFVar","doc":"Process the given free variable.\nIf it has not already been visited and is in scope, we collect its dependencies.\n"},"Lean.Compiler.LCNF.Closure.collectCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L93-L106","name":"Lean.Compiler.LCNF.Closure.collectCode","line":93,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectCode","doc":"Collect dependencies in the given code. We need this function to be able\nto collect dependencies in a local function declaration.\n"},"Lean.Compiler.LCNF.Closure.collectArg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L76-L80","name":"Lean.Compiler.LCNF.Closure.collectArg","line":76,"kind":"opaque","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.collectArg","doc":""},"Lean.Compiler.LCNF.Closure.State.visited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L39-L39","name":"Lean.Compiler.LCNF.Closure.State.visited","line":39,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.visited","doc":"Set of already visited free variables.\n"},"Lean.Compiler.LCNF.Closure.State.params":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L43-L43","name":"Lean.Compiler.LCNF.Closure.State.params","line":43,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.params","doc":"Free variables that must become new parameters of the code being specialized.\n"},"Lean.Compiler.LCNF.Closure.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L1-L1","name":"Lean.Compiler.LCNF.Closure.State.mk","line":1,"kind":"ctor","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.mk","doc":""},"Lean.Compiler.LCNF.Closure.State.decls":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Compiler/LCNF/Closure.lean#L54-L54","name":"Lean.Compiler.LCNF.Closure.State.decls","line":54,"kind":"def","docLink":"./Lean/Compiler/LCNF/Closure.html#Lean.Compiler.LCNF.Closure.State.decls","doc":"Let-declarations and local function declarations that are going to be \"copied\" to the code\nbeing processed. For example, when this module is used in the code specializer, the let-declarations\noften contain the instance values. In the current specialization heuristic all let-declarations are ground values\n(i.e., they do not contain free-variables).\nHowever, local function declarations may contain free variables.\n\nAll customers of this module try to avoid work duplication. 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"},"Lake.targetAttr":{"sourceLink":"https://example.com#L35-L36","name":"Lake.targetAttr","line":35,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.targetAttr","doc":""},"Lake.tar":{"sourceLink":"https://example.com#L106-L120","name":"Lake.tar","line":106,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.tar","doc":"Pack a directory `dir` using `tar` into the archive `file`. "},"Lake.stringToLegalOrSimpleName":{"sourceLink":"https://example.com#L47-L48","name":"Lake.stringToLegalOrSimpleName","line":47,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.stringToLegalOrSimpleName","doc":"First tries to convert a string into a legal name.\nIf that fails, defaults to making it a simple name (e.g., `Lean.Name.mkSimple`).\nCurrently used for package and target names taken from the CLI.\n"},"Lake.sharedLibPathEnvVar":{"sourceLink":"https://example.com#L30-L36","name":"Lake.sharedLibPathEnvVar","line":30,"kind":"def","docLink":"./Lake/Util/NativeLib.html#Lake.sharedLibPathEnvVar","doc":"The environment variable that stores the search path\nused to find shared libraries on the `Platform`.\n"},"Lake.sharedLibExt":{"sourceLink":"https://example.com#L11-L14","name":"Lake.sharedLibExt","line":11,"kind":"def","docLink":"./Lake/Util/NativeLib.html#Lake.sharedLibExt","doc":"The shared library file extension for the `Platform`. 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"},"Lake.registerOrderedTagAttribute":{"sourceLink":"https://example.com#L16-L40","name":"Lake.registerOrderedTagAttribute","line":16,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.registerOrderedTagAttribute","doc":""},"Lake.recFetchMemoize":{"sourceLink":"https://example.com#L108-L112","name":"Lake.recFetchMemoize","line":108,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.recFetchMemoize","doc":"`recFetchAcyclic` augmented with a `MonadDStore` to\nmemoize fetch results and thus avoid computing the same result twice.\n"},"Lake.recFetchAcyclic":{"sourceLink":"https://example.com#L87-L95","name":"Lake.recFetchAcyclic","line":87,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.recFetchAcyclic","doc":"A `recFetch` augmented by a `CycleT` to guard against recursive cycles.\nIf the set of visited keys is finite, this function should provably terminate.\n\nWe use `keyOf` to the derive the unique key of a fetch from its descriptor\n`a : α`. 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"},"Lake.getLeanLibDir":{"sourceLink":"https://example.com#L148-L149","name":"Lake.getLeanLibDir","line":148,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanLibDir","doc":"Get the Lean library directory of the detected Lean installation. "},"Lake.getLeanInstall":{"sourceLink":"https://example.com#L136-L137","name":"Lake.getLeanInstall","line":136,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanInstall","doc":"Get the detected Lean installation. "},"Lake.getLeanIncludeDir":{"sourceLink":"https://example.com#L152-L153","name":"Lake.getLeanIncludeDir","line":152,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanIncludeDir","doc":"Get the C include directory of the detected Lean installation. "},"Lake.getLeanCc?":{"sourceLink":"https://example.com#L180-L181","name":"Lake.getLeanCc?","line":180,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc?","doc":"Get the optional `LEAN_CC` compiler override of the detected Lean installation. "},"Lake.getLeanCc":{"sourceLink":"https://example.com#L176-L177","name":"Lake.getLeanCc","line":176,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanCc","doc":"Get the path of C compiler in the detected Lean installation. "},"Lake.getLeanAr":{"sourceLink":"https://example.com#L172-L173","name":"Lake.getLeanAr","line":172,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLeanAr","doc":"Get the path of the `ar` binary in the detected Lean installation. "},"Lake.getLean":{"sourceLink":"https://example.com#L160-L161","name":"Lake.getLean","line":160,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLean","doc":"Get the path of the `lean` binary in the detected Lean installation. "},"Lake.getLakeSrcDir":{"sourceLink":"https://example.com#L194-L195","name":"Lake.getLakeSrcDir","line":194,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeSrcDir","doc":"Get the source directory of the detected Lake installation. "},"Lake.getLakeLibDir":{"sourceLink":"https://example.com#L198-L199","name":"Lake.getLakeLibDir","line":198,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeLibDir","doc":"Get the Lean library directory of the detected Lake installation. "},"Lake.getLakeInstall":{"sourceLink":"https://example.com#L186-L187","name":"Lake.getLakeInstall","line":186,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeInstall","doc":"Get the detected Lake installation. "},"Lake.getLakeHome":{"sourceLink":"https://example.com#L190-L191","name":"Lake.getLakeHome","line":190,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeHome","doc":"Get the root directory of the detected Lake installation (e.g., `LAKE_HOME`). "},"Lake.getLakeEnv":{"sourceLink":"https://example.com#L116-L117","name":"Lake.getLakeEnv","line":116,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLakeEnv","doc":""},"Lake.getLake":{"sourceLink":"https://example.com#L202-L203","name":"Lake.getLake","line":202,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getLake","doc":"Get the path of the `lake` binary in the detected Lake installation. "},"Lake.getIsVerbose":{"sourceLink":"https://example.com#L32-L33","name":"Lake.getIsVerbose","line":32,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsVerbose","doc":""},"Lake.getIsQuiet":{"sourceLink":"https://example.com#L35-L36","name":"Lake.getIsQuiet","line":35,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.getIsQuiet","doc":""},"Lake.getIsOldMode":{"sourceLink":"https://example.com#L26-L27","name":"Lake.getIsOldMode","line":26,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.getIsOldMode","doc":""},"Lake.getFileMTime":{"sourceLink":"https://example.com#L199-L200","name":"Lake.getFileMTime","line":199,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.getFileMTime","doc":""},"Lake.getEnvSharedLibPath":{"sourceLink":"https://example.com#L130-L131","name":"Lake.getEnvSharedLibPath","line":130,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvSharedLibPath","doc":"Get the detected `sharedLibPathEnvVar` value of the Lake environment. "},"Lake.getEnvLeanSrcPath":{"sourceLink":"https://example.com#L126-L127","name":"Lake.getEnvLeanSrcPath","line":126,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanSrcPath","doc":"Get the detected `LEAN_SRC_PATH` value of the Lake environment. "},"Lake.getEnvLeanPath":{"sourceLink":"https://example.com#L122-L123","name":"Lake.getEnvLeanPath","line":122,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getEnvLeanPath","doc":"Get the detected `LEAN_PATH` value of the Lake environment. "},"Lake.getBinderIds":{"sourceLink":"https://example.com#L72-L78","name":"Lake.getBinderIds","line":72,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.getBinderIds","doc":""},"Lake.getAugmentedSharedLibPath":{"sourceLink":"https://example.com#L102-L103","name":"Lake.getAugmentedSharedLibPath","line":102,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedSharedLibPath","doc":"Get the augmented shared library path set by the context's workspace. "},"Lake.getAugmentedLeanSrcPath":{"sourceLink":"https://example.com#L98-L99","name":"Lake.getAugmentedLeanSrcPath","line":98,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanSrcPath","doc":"Get the augmented `LEAN_SRC_PATH` set by the context's workspace. "},"Lake.getAugmentedLeanPath":{"sourceLink":"https://example.com#L94-L95","name":"Lake.getAugmentedLeanPath","line":94,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedLeanPath","doc":"Get the augmented `LEAN_PATH` set by the context's workspace. "},"Lake.getAugmentedEnv":{"sourceLink":"https://example.com#L106-L107","name":"Lake.getAugmentedEnv","line":106,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.getAugmentedEnv","doc":"Get the augmented environment variables set by the context's workspace. "},"Lake.forEachModuleIn":{"sourceLink":"https://example.com#L26-L35","name":"Lake.forEachModuleIn","line":26,"kind":"opaque","docLink":"./Lake/Config/Glob.html#Lake.forEachModuleIn","doc":""},"Lake.foldRightListAsync":{"sourceLink":"https://example.com#L262-L263","name":"Lake.foldRightListAsync","line":262,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightListAsync","doc":"Fold a `List` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldRightArrayAsync":{"sourceLink":"https://example.com#L266-L267","name":"Lake.foldRightArrayAsync","line":266,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldRightArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from left to right (i.e., a left fold) into a single task. "},"Lake.foldLeftListAsync":{"sourceLink":"https://example.com#L254-L255","name":"Lake.foldLeftListAsync","line":254,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftListAsync","doc":"Fold a `List` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.foldLeftArrayAsync":{"sourceLink":"https://example.com#L258-L259","name":"Lake.foldLeftArrayAsync","line":258,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.foldLeftArrayAsync","doc":"Fold an `Array` of (a)synchronous tasks from right to left (i.e., a right fold) into a single task. "},"Lake.findPackage?":{"sourceLink":"https://example.com#L62-L63","name":"Lake.findPackage?","line":62,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.findModule?":{"sourceLink":"https://example.com#L66-L67","name":"Lake.findModule?","line":66,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.findLeanSysroot?":{"sourceLink":"https://example.com#L85-L95","name":"Lake.findLeanSysroot?","line":85,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanSysroot?","doc":"Try to find the sysroot of the given `lean` command (if it exists)\nby calling `lean --print-prefix` and returning the path it prints.\nDefaults to trying the `lean` in `PATH`.\n"},"Lake.findLeanLib?":{"sourceLink":"https://example.com#L74-L75","name":"Lake.findLeanLib?","line":74,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.findLeanInstall?":{"sourceLink":"https://example.com#L187-L192","name":"Lake.findLeanInstall?","line":187,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanInstall?","doc":"Try to find Lean's installation by first checking the\n`LEAN_SYSROOT` environment variable and then by trying `findLeanCmdHome?`.\nSee `LeanInstall.get` for how it assumes the Lean install is organized.\n"},"Lake.findLeanExe?":{"sourceLink":"https://example.com#L70-L71","name":"Lake.findLeanExe?","line":70,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.findLeanCmdInstall?":{"sourceLink":"https://example.com#L160-L161","name":"Lake.findLeanCmdInstall?","line":160,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLeanCmdInstall?","doc":"Try to find the installation of the given `lean` command\nby calling `findLeanCmdHome?`. See `LeanInstall.get` for how it assumes the\nLean install is organized.\n"},"Lake.findLakeLeanJointHome?":{"sourceLink":"https://example.com#L167-L173","name":"Lake.findLakeLeanJointHome?","line":167,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeLeanJointHome?","doc":"Check if Lake's executable is co-located with Lean, and, if so,\ntry to return their joint home by assuming they are both located at `/bin`.\n"},"Lake.findLakeInstall?":{"sourceLink":"https://example.com#L204-L210","name":"Lake.findLakeInstall?","line":204,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findLakeInstall?","doc":"Try to find Lake's installation by\nfirst checking the `LAKE_HOME` environment variable\nand then by trying the `lakePackageHome?` of the running executable.\n\nIt assumes that the Lake installation is organized the same way it is built.\nThat is, with its binary located at `/build/bin/lake` and its static\nlibrary and `.olean` files in `/build/lib`, and its source files\nlocated directly in ``.\n"},"Lake.findInstall?":{"sourceLink":"https://example.com#L225-L239","name":"Lake.findInstall?","line":225,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.findInstall?","doc":"Try to get Lake's install path by first trying `findLakeLeanHome?`\nthen by running `findLeanInstall?` and `findLakeInstall?`.\n\nIf Lake is co-located with `lean` (i.e., there is `lean` executable\nin the same directory as itself), it will assume it was installed with\nLean and that both Lake's and Lean's files are all located their shared\nsysroot.\nIn particular, their binaries are located in `/bin`,\ntheir Lean libraries in `/lib/lean`,\nLean's source files in `/src/lean`,\nand Lake's source files in `/src/lean/lake`.\n"},"Lake.findExternLib?":{"sourceLink":"https://example.com#L78-L79","name":"Lake.findExternLib?","line":78,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.fetchOrCreate":{"sourceLink":"https://example.com#L31-L38","name":"Lake.fetchOrCreate","line":31,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.fetchOrCreate","doc":""},"Lake.familyDef":{"sourceLink":"https://example.com#L169-L178","name":"Lake.familyDef","line":169,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.familyDef","doc":"The syntax:\n\n```lean\nfamily_def foo : Fam 0 := Nat\n```\n\nDeclares a new mapping for the open type family `Fam` type via the\nproduction of an axiom `Fam.foo : Data 0 = Nat` and an instance of `FamilyDef`\nthat uses this axiom for key `0`.\n"},"Lake.failOnBuildCycle":{"sourceLink":"https://example.com#L29-L33","name":"Lake.failOnBuildCycle","line":29,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.failOnBuildCycle","doc":""},"Lake.externLibAttr":{"sourceLink":"https://example.com#L32-L33","name":"Lake.externLibAttr","line":32,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.externLibAttr","doc":""},"Lake.expandOptType":{"sourceLink":"https://example.com#L66-L70","name":"Lake.expandOptType","line":66,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptType","doc":""},"Lake.expandOptIdent":{"sourceLink":"https://example.com#L85-L86","name":"Lake.expandOptIdent","line":85,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandOptIdent","doc":""},"Lake.expandBinders":{"sourceLink":"https://example.com#L152-L160","name":"Lake.expandBinders","line":152,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinders","doc":""},"Lake.expandBinderType":{"sourceLink":"https://example.com#L88-L89","name":"Lake.expandBinderType","line":88,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderType","doc":""},"Lake.expandBinderModifier":{"sourceLink":"https://example.com#L91-L95","name":"Lake.expandBinderModifier","line":91,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderModifier","doc":""},"Lake.expandBinderIdent":{"sourceLink":"https://example.com#L80-L83","name":"Lake.expandBinderIdent","line":80,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.expandBinderIdent","doc":""},"Lake.exitIfErrorCode":{"sourceLink":"https://example.com#L20-L21","name":"Lake.exitIfErrorCode","line":20,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.exitIfErrorCode","doc":"Exit with `ExitCode` if it is not 0. Otherwise, continue. "},"Lake.exe":{"sourceLink":"https://example.com#L13-L19","name":"Lake.exe","line":13,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.exe","doc":""},"Lake.evalTerm":{"sourceLink":"https://example.com#L15-L15","name":"Lake.evalTerm","line":15,"kind":"opaque","docLink":"./Lake/Util/EvalTerm.html#Lake.evalTerm","doc":""},"Lake.eq_of_compareOfLessAndEq":{"sourceLink":"https://example.com#L51-L56","name":"Lake.eq_of_compareOfLessAndEq","line":51,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.eq_of_compareOfLessAndEq","doc":""},"Lake.env":{"sourceLink":"https://example.com#L10-L11","name":"Lake.env","line":10,"kind":"def","docLink":"./Lake/CLI/Actions.html#Lake.env","doc":""},"Lake.drbmapOf":{"sourceLink":"https://example.com#L148-L149","name":"Lake.drbmapOf","line":148,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.drbmapOf","doc":""},"Lake.download":{"sourceLink":"https://example.com#L79-L90","name":"Lake.download","line":79,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.download","doc":"Download a file using `curl`, clobbering any existing file. "},"Lake.doElemTry_Else_":{"sourceLink":"https://example.com#L11-L12","name":"Lake.doElemTry_Else_","line":11,"kind":"def","docLink":"./Lake/Util/Sugar.html#Lake.doElemTry_Else_","doc":""},"Lake.dirExt":{"sourceLink":"https://example.com#L13-L14","name":"Lake.dirExt","line":13,"kind":"opaque","docLink":"./Lake/DSL/Extensions.html#Lake.dirExt","doc":""},"Lake.defaultTargetAttr":{"sourceLink":"https://example.com#L38-L47","name":"Lake.defaultTargetAttr","line":38,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultTargetAttr","doc":""},"Lake.defaultScriptAttr":{"sourceLink":"https://example.com#L20-L24","name":"Lake.defaultScriptAttr","line":20,"kind":"opaque","docLink":"./Lake/DSL/Attributes.html#Lake.defaultScriptAttr","doc":""},"Lake.defaultPackagesDir":{"sourceLink":"https://example.com#L11-L11","name":"Lake.defaultPackagesDir","line":11,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.defaultPackagesDir","doc":"The default setting for a `WorkspaceConfig`'s `packagesDir` option. "},"Lake.defaultNativeLibDir":{"sourceLink":"https://example.com#L64-L64","name":"Lake.defaultNativeLibDir","line":64,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultNativeLibDir","doc":"The default setting for a `PackageConfig`'s `nativeLibDir` option. "},"Lake.defaultManifestFile":{"sourceLink":"https://example.com#L55-L55","name":"Lake.defaultManifestFile","line":55,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultManifestFile","doc":"The default setting for a `PackageConfig`'s `manifestFile` option. "},"Lake.defaultLeanLibDir":{"sourceLink":"https://example.com#L61-L61","name":"Lake.defaultLeanLibDir","line":61,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultLeanLibDir","doc":"The default setting for a `PackageConfig`'s `leanLibDir` option. "},"Lake.defaultIrDir":{"sourceLink":"https://example.com#L70-L70","name":"Lake.defaultIrDir","line":70,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultIrDir","doc":"The default setting for a `PackageConfig`'s `irDir` option. "},"Lake.defaultBuildDir":{"sourceLink":"https://example.com#L58-L58","name":"Lake.defaultBuildDir","line":58,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBuildDir","doc":"The default setting for a `PackageConfig`'s `buildDir` option. "},"Lake.defaultBinDir":{"sourceLink":"https://example.com#L67-L67","name":"Lake.defaultBinDir","line":67,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.defaultBinDir","doc":"The default setting for a `PackageConfig`'s `binDir` option. "},"Lake.declareOpaqueType":{"sourceLink":"https://example.com#L19-L29","name":"Lake.declareOpaqueType","line":19,"kind":"def","docLink":"./Lake/Util/Opaque.html#Lake.declareOpaqueType","doc":""},"Lake.customDataDecl":{"sourceLink":"https://example.com#L125-L131","name":"Lake.customDataDecl","line":125,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.customDataDecl","doc":"Macro for declaring new `CustomData`. "},"Lake.crlf2lf.go":{"sourceLink":"https://example.com#L144-L155","name":"Lake.crlf2lf.go","line":144,"kind":"opaque","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf.go","doc":""},"Lake.crlf2lf":{"sourceLink":"https://example.com#L141-L155","name":"Lake.crlf2lf","line":141,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.crlf2lf","doc":"This is the same as `String.replace text \"\\r\\n\" \"\\n\"`, but more efficient. "},"Lake.createParentDirs":{"sourceLink":"https://example.com#L60-L61","name":"Lake.createParentDirs","line":60,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.createParentDirs","doc":""},"Lake.computeTrace":{"sourceLink":"https://example.com#L31-L32","name":"Lake.computeTrace","line":31,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeTrace","doc":""},"Lake.computeListTrace":{"sourceLink":"https://example.com#L62-L63","name":"Lake.computeListTrace","line":62,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeListTrace","doc":""},"Lake.computeHash":{"sourceLink":"https://example.com#L124-L125","name":"Lake.computeHash","line":124,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeHash","doc":""},"Lake.computeFileHash":{"sourceLink":"https://example.com#L129-L130","name":"Lake.computeFileHash","line":129,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeFileHash","doc":""},"Lake.computeDynlibOfShared":{"sourceLink":"https://example.com#L106-L117","name":"Lake.computeDynlibOfShared","line":106,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.computeDynlibOfShared","doc":""},"Lake.computeArrayTrace":{"sourceLink":"https://example.com#L67-L68","name":"Lake.computeArrayTrace","line":67,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.computeArrayTrace","doc":""},"Lake.compileStaticLib":{"sourceLink":"https://example.com#L51-L58","name":"Lake.compileStaticLib","line":51,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileStaticLib","doc":""},"Lake.compileSharedLib":{"sourceLink":"https://example.com#L60-L67","name":"Lake.compileSharedLib","line":60,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileSharedLib","doc":""},"Lake.compileO":{"sourceLink":"https://example.com#L42-L49","name":"Lake.compileO","line":42,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileO","doc":""},"Lake.compileLeanModule":{"sourceLink":"https://example.com#L13-L40","name":"Lake.compileLeanModule","line":13,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileLeanModule","doc":""},"Lake.compileExe":{"sourceLink":"https://example.com#L69-L76","name":"Lake.compileExe","line":69,"kind":"def","docLink":"./Lake/Build/Actions.html#Lake.compileExe","doc":""},"Lake.compareOfLessAndEq_rfl":{"sourceLink":"https://example.com#L58-L60","name":"Lake.compareOfLessAndEq_rfl","line":58,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.compareOfLessAndEq_rfl","doc":""},"Lake.cmp_iff_eq":{"sourceLink":"https://example.com#L29-L30","name":"Lake.cmp_iff_eq","line":29,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.cmp_iff_eq","doc":""},"Lake.checkIfNewer":{"sourceLink":"https://example.com#L206-L207","name":"Lake.checkIfNewer","line":206,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.checkIfNewer","doc":"Check if the info's `MTIme` is at least `depMTime`. "},"Lake.captureProc?":{"sourceLink":"https://example.com#L55-L61","name":"Lake.captureProc?","line":55,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc?","doc":""},"Lake.captureProc":{"sourceLink":"https://example.com#L44-L53","name":"Lake.captureProc","line":44,"kind":"def","docLink":"./Lake/Util/Proc.html#Lake.captureProc","doc":""},"Lake.busyAcquireLockFile.busyLoop":{"sourceLink":"https://example.com#L57-L72","name":"Lake.busyAcquireLockFile.busyLoop","line":57,"kind":"opaque","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile.busyLoop","doc":""},"Lake.busyAcquireLockFile":{"sourceLink":"https://example.com#L54-L72","name":"Lake.busyAcquireLockFile","line":54,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.busyAcquireLockFile","doc":"Busy waits to acquire the lock represented by the `lockFile`.\nPrints a warning if on the first time it has to wait.\n"},"Lake.buildUnlessUpToDate":{"sourceLink":"https://example.com#L17-L28","name":"Lake.buildUnlessUpToDate","line":17,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildUnlessUpToDate","doc":""},"Lake.buildTop":{"sourceLink":"https://example.com#L137-L139","name":"Lake.buildTop","line":137,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildTop","doc":"Recursively fills a `MonadStore` of key-object pairs by\nbuilding objects topologically (ι.e., depth-first with memoization).\nIf a cycle is detected, the list of keys traversed is thrown.\n"},"Lake.buildStaticLib":{"sourceLink":"https://example.com#L68-L72","name":"Lake.buildStaticLib","line":68,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildStaticLib","doc":""},"Lake.buildO":{"sourceLink":"https://example.com#L56-L60","name":"Lake.buildO","line":56,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildO","doc":""},"Lake.buildLeanSharedLibOfStatic":{"sourceLink":"https://example.com#L90-L104","name":"Lake.buildLeanSharedLibOfStatic","line":90,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLibOfStatic","doc":""},"Lake.buildLeanSharedLib":{"sourceLink":"https://example.com#L74-L80","name":"Lake.buildLeanSharedLib","line":74,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanSharedLib","doc":""},"Lake.buildLeanO":{"sourceLink":"https://example.com#L62-L66","name":"Lake.buildLeanO","line":62,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanO","doc":""},"Lake.buildLeanExe":{"sourceLink":"https://example.com#L82-L88","name":"Lake.buildLeanExe","line":82,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildLeanExe","doc":""},"Lake.buildIndexTop'":{"sourceLink":"https://example.com#L84-L85","name":"Lake.buildIndexTop'","line":84,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop'","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.buildIndexTop":{"sourceLink":"https://example.com#L91-L93","name":"Lake.buildIndexTop","line":91,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.buildIndexTop","doc":"Recursively build the given info using the Lake build index\nand a topological / suspending scheduler and return the dynamic result.\n"},"Lake.buildImportsAndDeps":{"sourceLink":"https://example.com#L55-L70","name":"Lake.buildImportsAndDeps","line":55,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.buildImportsAndDeps","doc":"Builds the workspace-local modules of list of imports.\nUsed by `lake print-paths` to build modules for the Lean server.\nReturns the set of module dynlibs built (so they can be loaded by the server).\n\nBuilds only module `.olean` and `.ilean` files if the package is configured\nas \"Lean-only\". Otherwise, also builds `.c` files.\n"},"Lake.buildFileUnlessUpToDate":{"sourceLink":"https://example.com#L30-L34","name":"Lake.buildFileUnlessUpToDate","line":30,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileUnlessUpToDate","doc":""},"Lake.buildFileAfterDepList":{"sourceLink":"https://example.com#L44-L47","name":"Lake.buildFileAfterDepList","line":44,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepList","doc":""},"Lake.buildFileAfterDepArray":{"sourceLink":"https://example.com#L49-L52","name":"Lake.buildFileAfterDepArray","line":49,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDepArray","doc":""},"Lake.buildFileAfterDep":{"sourceLink":"https://example.com#L36-L42","name":"Lake.buildFileAfterDep","line":36,"kind":"def","docLink":"./Lake/Build/Common.html#Lake.buildFileAfterDep","doc":""},"Lake.buildDTop":{"sourceLink":"https://example.com#L127-L130","name":"Lake.buildDTop","line":127,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildDTop","doc":"Dependently typed version of `buildTop`. "},"Lake.buildAcyclic":{"sourceLink":"https://example.com#L122-L124","name":"Lake.buildAcyclic","line":122,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.buildAcyclic","doc":"Recursively builds objects for the keys `κ`, avoiding cycles. "},"Lake.binder":{"sourceLink":"https://example.com#L49-L49","name":"Lake.binder","line":49,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.binder","doc":""},"Lake.archiveSuffix":{"sourceLink":"https://example.com#L33-L34","name":"Lake.archiveSuffix","line":33,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.archiveSuffix","doc":"A `tar.gz` file name suffix encoding the the current Platform.\n(i.e, `osDescriptor` joined with `System.Platform.numBits`).\n"},"Lake.WorkspaceConfig.packagesDir":{"sourceLink":"https://example.com#L19-L19","name":"Lake.WorkspaceConfig.packagesDir","line":19,"kind":"def","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.packagesDir","doc":"The directory to which Lake should download remote dependencies.\nDefaults to `defaultPackagesDir` (i.e., `lake-packages`).\n"},"Lake.WorkspaceConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.WorkspaceConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig.mk","doc":""},"Lake.WorkspaceConfig":{"sourceLink":"https://example.com#L14-L20","name":"Lake.WorkspaceConfig","line":14,"kind":"structure","docLink":"./Lake/Config/WorkspaceConfig.html#Lake.WorkspaceConfig","doc":"A `Workspace`'s declarative configuration. "},"Lake.Workspace.sharedLibPath":{"sourceLink":"https://example.com#L147-L148","name":"Lake.Workspace.sharedLibPath","line":147,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.sharedLibPath","doc":"The workspace's shared library path (e.g., for `--load-dynlib`).\nThis is added to the `sharedLibPathEnvVar` by `lake env`.\n"},"Lake.Workspace.runBuild":{"sourceLink":"https://example.com#L95-L104","name":"Lake.Workspace.runBuild","line":95,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.runBuild","doc":"Run the given build function in the Workspace's context. "},"Lake.Workspace.root":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Workspace.root","line":19,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.root","doc":"The root package of the workspace. "},"Lake.Workspace.relPkgsDir":{"sourceLink":"https://example.com#L48-L49","name":"Lake.Workspace.relPkgsDir","line":48,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.relPkgsDir","doc":"The path to the workspace's remote packages directory relative to `dir`. "},"Lake.Workspace.processImportList":{"sourceLink":"https://example.com#L19-L25","name":"Lake.Workspace.processImportList","line":19,"kind":"def","docLink":"./Lake/Build/Imports.html#Lake.Workspace.processImportList","doc":"Construct an `Array` of `Module`s for the workspace-local modules of\na `List` of import strings.\n"},"Lake.Workspace.pkgsDir":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Workspace.pkgsDir","line":52,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.pkgsDir","doc":"The workspace's `dir` joined with its `relPkgsDir`. "},"Lake.Workspace.packageMap":{"sourceLink":"https://example.com#L23-L23","name":"Lake.Workspace.packageMap","line":23,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageMap","doc":"Name-package map of packages within the workspace. "},"Lake.Workspace.packageList":{"sourceLink":"https://example.com#L60-L61","name":"Lake.Workspace.packageList","line":60,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageList","doc":"The `List` of packages to the workspace. "},"Lake.Workspace.packageFacetConfigs":{"sourceLink":"https://example.com#L27-L27","name":"Lake.Workspace.packageFacetConfigs","line":27,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageFacetConfigs","doc":"Name-configuration map of package facets defined in the workspace. "},"Lake.Workspace.packageArray":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Workspace.packageArray","line":64,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.packageArray","doc":"The `Array` of packages to the workspace. "},"Lake.Workspace.moduleFacetConfigs":{"sourceLink":"https://example.com#L25-L25","name":"Lake.Workspace.moduleFacetConfigs","line":25,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.moduleFacetConfigs","doc":"Name-configuration map of module facets defined in the workspace. "},"Lake.Workspace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Workspace.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.mk","doc":""},"Lake.Workspace.manifestFile":{"sourceLink":"https://example.com#L56-L57","name":"Lake.Workspace.manifestFile","line":56,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.manifestFile","doc":"The workspace's Lake manifest. "},"Lake.Workspace.lockFile":{"sourceLink":"https://example.com#L91-L92","name":"Lake.Workspace.lockFile","line":91,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.Workspace.lockFile","doc":"The workspace's build lock file. "},"Lake.Workspace.libraryFacetConfigs":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Workspace.libraryFacetConfigs","line":29,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.libraryFacetConfigs","doc":"Name-configuration map of library facets defined in the workspace. "},"Lake.Workspace.leanSrcPath":{"sourceLink":"https://example.com#L136-L141","name":"Lake.Workspace.leanSrcPath","line":136,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanSrcPath","doc":"The workspace's source directories (which are added to `LEAN_SRC_PATH`). "},"Lake.Workspace.leanPath":{"sourceLink":"https://example.com#L132-L133","name":"Lake.Workspace.leanPath","line":132,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.leanPath","doc":"The workspace's Lean library directories (which are added to `LEAN_PATH`). "},"Lake.Workspace.lakeEnv":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Workspace.lakeEnv","line":21,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.lakeEnv","doc":"The detect `Lake.Env` of the workspace. "},"Lake.Workspace.isLocalModule":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Workspace.isLocalModule","line":76,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isLocalModule","doc":"Check if the module is local to any package in the workspace. "},"Lake.Workspace.isBuildableModule":{"sourceLink":"https://example.com#L80-L81","name":"Lake.Workspace.isBuildableModule","line":80,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.isBuildableModule","doc":"Check if the module is buildable by any package in the workspace. "},"Lake.Workspace.findTargetConfig?":{"sourceLink":"https://example.com#L100-L101","name":"Lake.Workspace.findTargetConfig?","line":100,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findTargetConfig?","doc":"Try to find a target configuration in the workspace with the given name. "},"Lake.Workspace.findPackageFacetConfig?":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Workspace.findPackageFacetConfig?","line":116,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackageFacetConfig?","doc":"Try to find a package facet configuration in the workspace with the given name. "},"Lake.Workspace.findPackage?":{"sourceLink":"https://example.com#L72-L73","name":"Lake.Workspace.findPackage?","line":72,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findPackage?","doc":"Try to find a package within the workspace with the given name. "},"Lake.Workspace.findModuleFacetConfig?":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Workspace.findModuleFacetConfig?","line":108,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModuleFacetConfig?","doc":"Try to find a module facet configuration in the workspace with the given name. "},"Lake.Workspace.findModule?":{"sourceLink":"https://example.com#L84-L85","name":"Lake.Workspace.findModule?","line":84,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findModule?","doc":"Locate the named module in the workspace (if it is local to it). "},"Lake.Workspace.findLibraryFacetConfig?":{"sourceLink":"https://example.com#L124-L125","name":"Lake.Workspace.findLibraryFacetConfig?","line":124,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLibraryFacetConfig?","doc":"Try to find a library facet configuration in the workspace with the given name. "},"Lake.Workspace.findLeanLib?":{"sourceLink":"https://example.com#L88-L89","name":"Lake.Workspace.findLeanLib?","line":88,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanLib?","doc":"Try to find a Lean library in the workspace with the given name. "},"Lake.Workspace.findLeanExe?":{"sourceLink":"https://example.com#L92-L93","name":"Lake.Workspace.findLeanExe?","line":92,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findLeanExe?","doc":"Try to find a Lean executable in the workspace with the given name. "},"Lake.Workspace.findExternLib?":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Workspace.findExternLib?","line":96,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.findExternLib?","doc":"Try to find an external library in the workspace with the given name. "},"Lake.Workspace.dir":{"sourceLink":"https://example.com#L40-L41","name":"Lake.Workspace.dir","line":40,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.dir","doc":"The path to the workspace's directory (i.e., the directory of the root package). "},"Lake.Workspace.config":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Workspace.config","line":44,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.config","doc":"The workspace's configuration. "},"Lake.Workspace.clean":{"sourceLink":"https://example.com#L194-L195","name":"Lake.Workspace.clean","line":194,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.clean","doc":"Remove all packages' build outputs (i.e., delete their build directories). "},"Lake.Workspace.binPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Workspace.binPath","line":128,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.binPath","doc":"The workspace's binary directories (which are added to `Path`). "},"Lake.Workspace.augmentedSharedLibPath":{"sourceLink":"https://example.com#L175-L176","name":"Lake.Workspace.augmentedSharedLibPath","line":175,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedSharedLibPath","doc":""},"Lake.Workspace.augmentedPath":{"sourceLink":"https://example.com#L154-L155","name":"Lake.Workspace.augmentedPath","line":154,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedPath","doc":"The detected `PATH` of the environment augmented with\nthe workspace's `binDir` and Lean and Lake installations' `binDir`.\n"},"Lake.Workspace.augmentedLeanSrcPath":{"sourceLink":"https://example.com#L168-L169","name":"Lake.Workspace.augmentedLeanSrcPath","line":168,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanSrcPath","doc":"The detected `LEAN_SRC_PATH` of the environment augmented with\nthe workspace's `leanSrcPath` and Lake's `srcDir`.\n"},"Lake.Workspace.augmentedLeanPath":{"sourceLink":"https://example.com#L161-L162","name":"Lake.Workspace.augmentedLeanPath","line":161,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedLeanPath","doc":"The detected `LEAN_PATH` of the environment augmented with\nthe workspace's `leanPath` and Lake's `libDir`.\n"},"Lake.Workspace.augmentedEnvVars":{"sourceLink":"https://example.com#L182-L191","name":"Lake.Workspace.augmentedEnvVars","line":182,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.augmentedEnvVars","doc":"The detected environment augmented with Lake's and the workspace's paths.\nThese are the settings use by `lake env` / `Lake.env` to run executables.\n"},"Lake.Workspace.addPackageFacetConfig":{"sourceLink":"https://example.com#L112-L113","name":"Lake.Workspace.addPackageFacetConfig","line":112,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackageFacetConfig","doc":"Add a package facet to the workspace. "},"Lake.Workspace.addPackage":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Workspace.addPackage","line":68,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addPackage","doc":"Add a package to the workspace. "},"Lake.Workspace.addModuleFacetConfig":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Workspace.addModuleFacetConfig","line":104,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addModuleFacetConfig","doc":"Add a module facet to the workspace. "},"Lake.Workspace.addLibraryFacetConfig":{"sourceLink":"https://example.com#L120-L121","name":"Lake.Workspace.addLibraryFacetConfig","line":120,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.Workspace.addLibraryFacetConfig","doc":"Add a library facet to the workspace. "},"Lake.Workspace":{"sourceLink":"https://example.com#L17-L29","name":"Lake.Workspace","line":17,"kind":"structure","docLink":"./Lake/Config/Workspace.html#Lake.Workspace","doc":"A Lake workspace -- the top-level package directory. "},"Lake.Verbosity.verbose":{"sourceLink":"https://example.com#L19-L19","name":"Lake.Verbosity.verbose","line":19,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.verbose","doc":""},"Lake.Verbosity.quiet":{"sourceLink":"https://example.com#L17-L17","name":"Lake.Verbosity.quiet","line":17,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.quiet","doc":""},"Lake.Verbosity.normal":{"sourceLink":"https://example.com#L18-L18","name":"Lake.Verbosity.normal","line":18,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.Verbosity.normal","doc":""},"Lake.Verbosity":{"sourceLink":"https://example.com#L16-L20","name":"Lake.Verbosity","line":16,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.Verbosity","doc":""},"Lake.TypeSpec":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TypeSpec","line":28,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.TypeSpec","doc":""},"Lake.TextFilePath.path":{"sourceLink":"https://example.com#L138-L138","name":"Lake.TextFilePath.path","line":138,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.path","doc":""},"Lake.TextFilePath.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TextFilePath.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath.mk","doc":""},"Lake.TextFilePath":{"sourceLink":"https://example.com#L137-L138","name":"Lake.TextFilePath","line":137,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.TextFilePath","doc":"A wrapper around `FilePath` that adjusts its `ComputeHash` implementation\nto normalize `\\r\\n` sequences to `\\n` for cross-platform compatibility. "},"Lake.TargetDecl.pkg":{"sourceLink":"https://example.com#L28-L28","name":"Lake.TargetDecl.pkg","line":28,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.pkg","doc":""},"Lake.TargetDecl.name":{"sourceLink":"https://example.com#L29-L29","name":"Lake.TargetDecl.name","line":29,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.name","doc":""},"Lake.TargetDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.TargetDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.mk","doc":""},"Lake.TargetDecl.fetchJob":{"sourceLink":"https://example.com#L31-L34","name":"Lake.TargetDecl.fetchJob","line":31,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetchJob","doc":"Fetch the build job of the target. "},"Lake.TargetDecl.fetch":{"sourceLink":"https://example.com#L24-L28","name":"Lake.TargetDecl.fetch","line":24,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.TargetDecl.fetch","doc":"Fetch the build result of a target. "},"Lake.TargetDecl.config":{"sourceLink":"https://example.com#L30-L30","name":"Lake.TargetDecl.config","line":30,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl.config","doc":""},"Lake.TargetDecl":{"sourceLink":"https://example.com#L27-L30","name":"Lake.TargetDecl","line":27,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.TargetData.leanLib.static":{"sourceLink":"https://example.com#L106-L106","name":"Lake.TargetData.leanLib.static","line":106,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.static","doc":""},"Lake.TargetData.leanLib.shared":{"sourceLink":"https://example.com#L110-L110","name":"Lake.TargetData.leanLib.shared","line":110,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.shared","doc":""},"Lake.TargetData.leanLib.modules":{"sourceLink":"https://example.com#L164-L164","name":"Lake.TargetData.leanLib.modules","line":164,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.TargetData.leanLib.modules","doc":""},"Lake.TargetData.leanLib.lean":{"sourceLink":"https://example.com#L102-L102","name":"Lake.TargetData.leanLib.lean","line":102,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.lean","doc":""},"Lake.TargetData.leanLib.extraDep":{"sourceLink":"https://example.com#L114-L114","name":"Lake.TargetData.leanLib.extraDep","line":114,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanLib.extraDep","doc":""},"Lake.TargetData.leanExe":{"sourceLink":"https://example.com#L118-L118","name":"Lake.TargetData.leanExe","line":118,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.leanExe","doc":""},"Lake.TargetData.externLib.static":{"sourceLink":"https://example.com#L122-L122","name":"Lake.TargetData.externLib.static","line":122,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.static","doc":""},"Lake.TargetData.externLib.shared":{"sourceLink":"https://example.com#L126-L126","name":"Lake.TargetData.externLib.shared","line":126,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.shared","doc":""},"Lake.TargetData.externLib.dynlib":{"sourceLink":"https://example.com#L130-L130","name":"Lake.TargetData.externLib.dynlib","line":130,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.TargetData.externLib.dynlib","doc":""},"Lake.TargetData":{"sourceLink":"https://example.com#L44-L44","name":"Lake.TargetData","line":44,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.TargetData","doc":"The open type family which maps a (builtin) Lake target's (e.g., `extern_lib`)\nfacet to its associated build data. For example, an active build target for\nthe `externLib.static` facet.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `target_data`).\n"},"Lake.TargetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.TargetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.mk","doc":""},"Lake.TargetConfig.getJob":{"sourceLink":"https://example.com#L16-L16","name":"Lake.TargetConfig.getJob","line":16,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.getJob","doc":"The target's resulting build job. "},"Lake.TargetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.TargetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig.build","doc":"The target's build function. "},"Lake.TargetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.TargetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/TargetConfig.html#Lake.TargetConfig","doc":"A custom target's declarative configuration. "},"Lake.Sync.sync":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Sync.sync","line":30,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Sync.sync","doc":"Run the monadic action as a synchronous task. "},"Lake.Sync.mk":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Sync.mk","line":28,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Sync.mk","doc":""},"Lake.Sync":{"sourceLink":"https://example.com#L28-L30","name":"Lake.Sync","line":28,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Sync","doc":""},"Lake.String.lt_irrefl":{"sourceLink":"https://example.com#L84-L85","name":"Lake.String.lt_irrefl","line":84,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.String.lt_irrefl","doc":""},"Lake.Source.path":{"sourceLink":"https://example.com#L20-L20","name":"Lake.Source.path","line":20,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.path","doc":""},"Lake.Source.git":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Source.git","line":21,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Source.git","doc":""},"Lake.Source":{"sourceLink":"https://example.com#L19-L22","name":"Lake.Source","line":19,"kind":"inductive","docLink":"./Lake/Config/Dependency.html#Lake.Source","doc":"The `src` of a `Dependency`.\n\nIn Lake, dependency sources currently come into flavors:\n* Local `path`s relative to the package's directory.\n* Remote `git` repositories that are download from a given `url`\n into the workspace's `packagesDir`.\n"},"Lake.SeqWithAsync.seqWithAsync":{"sourceLink":"https://example.com#L134-L134","name":"Lake.SeqWithAsync.seqWithAsync","line":134,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.seqWithAsync","doc":"Combine two (a)synchronous tasks using `f`. "},"Lake.SeqWithAsync.mk":{"sourceLink":"https://example.com#L132-L132","name":"Lake.SeqWithAsync.mk","line":132,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync.mk","doc":""},"Lake.SeqWithAsync":{"sourceLink":"https://example.com#L132-L134","name":"Lake.SeqWithAsync","line":132,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqWithAsync","doc":""},"Lake.SeqRightAsync.seqRightAsync":{"sourceLink":"https://example.com#L128-L128","name":"Lake.SeqRightAsync.seqRightAsync","line":128,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.seqRightAsync","doc":"Combine two (a)synchronous tasks, returning the result of the second one. "},"Lake.SeqRightAsync.mk":{"sourceLink":"https://example.com#L126-L126","name":"Lake.SeqRightAsync.mk","line":126,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync.mk","doc":""},"Lake.SeqRightAsync":{"sourceLink":"https://example.com#L126-L128","name":"Lake.SeqRightAsync","line":126,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqRightAsync","doc":""},"Lake.SeqLeftAsync.seqLeftAsync":{"sourceLink":"https://example.com#L122-L122","name":"Lake.SeqLeftAsync.seqLeftAsync","line":122,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.seqLeftAsync","doc":"Combine two (a)synchronous tasks, returning the result of the first one. "},"Lake.SeqLeftAsync.mk":{"sourceLink":"https://example.com#L120-L120","name":"Lake.SeqLeftAsync.mk","line":120,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync.mk","doc":""},"Lake.SeqLeftAsync":{"sourceLink":"https://example.com#L120-L122","name":"Lake.SeqLeftAsync","line":120,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqLeftAsync","doc":""},"Lake.SeqAsync.seqAsync":{"sourceLink":"https://example.com#L116-L116","name":"Lake.SeqAsync.seqAsync","line":116,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.seqAsync","doc":"Combine two (a)synchronous tasks, applying the result of the second one ot the first one. "},"Lake.SeqAsync.mk":{"sourceLink":"https://example.com#L114-L114","name":"Lake.SeqAsync.mk","line":114,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.SeqAsync.mk","doc":""},"Lake.SeqAsync":{"sourceLink":"https://example.com#L114-L116","name":"Lake.SeqAsync","line":114,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.SeqAsync","doc":""},"Lake.ScriptM":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ScriptM","line":15,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptM","doc":"The type of a `Script`'s monad.\n`IO` equipped information about the Lake configuration.\n"},"Lake.ScriptFn":{"sourceLink":"https://example.com#L22-L22","name":"Lake.ScriptFn","line":22,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.ScriptFn","doc":"The type of a `Script`'s function.\nSimilar to the `main` function's signature, except that its monad is\nalso equipped with information about the Lake configuration.\n"},"Lake.Script.run":{"sourceLink":"https://example.com#L33-L34","name":"Lake.Script.run","line":33,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.run","doc":""},"Lake.Script.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Script.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Script.html#Lake.Script.mk","doc":""},"Lake.Script.fn":{"sourceLink":"https://example.com#L29-L29","name":"Lake.Script.fn","line":29,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.fn","doc":""},"Lake.Script.doc?":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Script.doc?","line":30,"kind":"def","docLink":"./Lake/Config/Script.html#Lake.Script.doc?","doc":""},"Lake.Script":{"sourceLink":"https://example.com#L28-L31","name":"Lake.Script","line":28,"kind":"structure","docLink":"./Lake/Config/Script.html#Lake.Script","doc":"A package `Script` is a `ScriptFn` definition that is\nindexed by a `String` key and can be be run by `lake run [-- ]`.\n"},"Lake.SchedulerM":{"sourceLink":"https://example.com#L29-L29","name":"Lake.SchedulerM","line":29,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.SchedulerM","doc":"The monad for the Lake build manager. "},"Lake.ResultM":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ResultM","line":20,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.ResultM","doc":"The monad of a finished Lake job. "},"Lake.RecFetchFn":{"sourceLink":"https://example.com#L65-L66","name":"Lake.RecFetchFn","line":65,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.RecFetchFn","doc":"A `DRecFetchFn` that is not dependently typed. "},"Lake.RecBuildM.runIn":{"sourceLink":"https://example.com#L39-L41","name":"Lake.RecBuildM.runIn","line":39,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.runIn","doc":"Run the recursive build in the given build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM.run":{"sourceLink":"https://example.com#L47-L48","name":"Lake.RecBuildM.run","line":47,"kind":"def","docLink":"./Lake/Build/Monad.html#Lake.RecBuildM.run","doc":"Run the recursive build in a fresh build store.\nIf a cycle is encountered, log it and then fail.\n"},"Lake.RecBuildM":{"sourceLink":"https://example.com#L44-L44","name":"Lake.RecBuildM","line":44,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.RecBuildM","doc":"A recursive build of a Lake build store that may encounter a cycle. "},"Lake.RBNode.dFind":{"sourceLink":"https://example.com#L21-L28","name":"Lake.RBNode.dFind","line":21,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.RBNode.dFind","doc":""},"Lake.Prod.compareWith":{"sourceLink":"https://example.com#L111-L114","name":"Lake.Prod.compareWith","line":111,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Prod.compareWith","doc":""},"Lake.PackageSet.empty":{"sourceLink":"https://example.com#L224-L224","name":"Lake.PackageSet.empty","line":224,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet.empty","doc":""},"Lake.PackageSet":{"sourceLink":"https://example.com#L223-L223","name":"Lake.PackageSet","line":223,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageSet","doc":""},"Lake.PackageFacetDecl.fetch":{"sourceLink":"https://example.com#L37-L39","name":"Lake.PackageFacetDecl.fetch","line":37,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetDecl.fetch","doc":"Fetch the build result of a package facet. "},"Lake.PackageFacetDecl":{"sourceLink":"https://example.com#L62-L62","name":"Lake.PackageFacetDecl","line":62,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetDecl","doc":"A package facet declaration from a configuration file. "},"Lake.PackageFacetConfig.fetchJob":{"sourceLink":"https://example.com#L42-L46","name":"Lake.PackageFacetConfig.fetchJob","line":42,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.PackageFacetConfig.fetchJob","doc":"Fetch the build job of a package facet. "},"Lake.PackageFacetConfig":{"sourceLink":"https://example.com#L59-L59","name":"Lake.PackageFacetConfig","line":59,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.PackageFacetConfig","doc":"A package facet's declarative configuration. "},"Lake.PackageData.release":{"sourceLink":"https://example.com#L92-L92","name":"Lake.PackageData.release","line":92,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.release","doc":""},"Lake.PackageData.extraDep":{"sourceLink":"https://example.com#L96-L96","name":"Lake.PackageData.extraDep","line":96,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.PackageData.extraDep","doc":""},"Lake.PackageData.deps":{"sourceLink":"https://example.com#L168-L168","name":"Lake.PackageData.deps","line":168,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.PackageData.deps","doc":""},"Lake.PackageData":{"sourceLink":"https://example.com#L34-L34","name":"Lake.PackageData","line":34,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.PackageData","doc":"The open type family which maps a package facet's name to its build data\nin the Lake build store. For example, a transitive dependencies of the package\nfor the facet `deps`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `package_data`).\n"},"Lake.PackageConfig.srcDir":{"sourceLink":"https://example.com#L114-L114","name":"Lake.PackageConfig.srcDir","line":114,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.srcDir","doc":"The directory containing the package's Lean source files.\nDefaults to the package's directory.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.PackageConfig.releaseRepo?":{"sourceLink":"https://example.com#L154-L154","name":"Lake.PackageConfig.releaseRepo?","line":154,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.releaseRepo?","doc":"The URL of the GitHub repository to upload and download releases of this package.\nIf `none` (the default), for downloads, Lake uses the URL the package was download\nfrom (if it is a dependency) and for uploads, uses `gh`'s default.\n"},"Lake.PackageConfig.preferReleaseBuild":{"sourceLink":"https://example.com#L166-L166","name":"Lake.PackageConfig.preferReleaseBuild","line":166,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.preferReleaseBuild","doc":"Whether to prefer downloading a prebuilt release (from GitHub) rather than\nbuilding this package from the source when this package is used as a dependency.\n"},"Lake.PackageConfig.precompileModules":{"sourceLink":"https://example.com#L100-L100","name":"Lake.PackageConfig.precompileModules","line":100,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.precompileModules","doc":"Whether to compile each of the package's module into a native shared library\nthat is loaded whenever the module is imported. This speeds up evaluation of\nmetaprograms and enables the interpreter to run functions marked `@[extern]`.\n\nDefaults to `false`.\n"},"Lake.PackageConfig.nativeLibDir":{"sourceLink":"https://example.com#L134-L134","name":"Lake.PackageConfig.nativeLibDir","line":134,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.nativeLibDir","doc":"The build subdirectory to which Lake should output the package's\nnative libraries (e.g., `.a`, `.so`, `.dll` files).\nDefaults to `defaultNativeLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.name":{"sourceLink":"https://example.com#L80-L80","name":"Lake.PackageConfig.name","line":80,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.name","doc":"The `Name` of the package. "},"Lake.PackageConfig.moreServerArgs":{"sourceLink":"https://example.com#L106-L106","name":"Lake.PackageConfig.moreServerArgs","line":106,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.moreServerArgs","doc":"Additional arguments to pass to the Lean language server\n(i.e., `lean --server`) launched by `lake server`.\n"},"Lake.PackageConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.PackageConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.mk","doc":""},"Lake.PackageConfig.manifestFile":{"sourceLink":"https://example.com#L88-L88","name":"Lake.PackageConfig.manifestFile","line":88,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.manifestFile","doc":"The path of a package's manifest file, which stores the exact versions\nof its resolved dependencies.\n\nDefaults to `defaultManifestFile` (i.e., `lake-manifest.json`).\n"},"Lake.PackageConfig.leanLibDir":{"sourceLink":"https://example.com#L127-L127","name":"Lake.PackageConfig.leanLibDir","line":127,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.leanLibDir","doc":"The build subdirectory to which Lake should output the package's\nbinary Lean libraries (e.g., `.olean`, `.ilean` files).\nDefaults to `defaultLeanLibDir` (i.e., `lib`).\n"},"Lake.PackageConfig.irDir":{"sourceLink":"https://example.com#L147-L147","name":"Lake.PackageConfig.irDir","line":147,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.irDir","doc":"The build subdirectory to which Lake should output\nthe package's intermediary results (e.g., `.c` and `.o` files).\nDefaults to `defaultIrDir` (i.e., `ir`).\n"},"Lake.PackageConfig.extraDepTargets":{"sourceLink":"https://example.com#L91-L91","name":"Lake.PackageConfig.extraDepTargets","line":91,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.extraDepTargets","doc":"An `Array` of target names to build whenever the package is used. "},"Lake.PackageConfig.buildDir":{"sourceLink":"https://example.com#L120-L120","name":"Lake.PackageConfig.buildDir","line":120,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildDir","doc":"The directory to which Lake should output the package's build results.\nDefaults to `defaultBuildDir` (i.e., `build`).\n"},"Lake.PackageConfig.buildArchive?":{"sourceLink":"https://example.com#L160-L160","name":"Lake.PackageConfig.buildArchive?","line":160,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.buildArchive?","doc":"The name of the build archive on GitHub. Defaults to `none`.\nThe archive's full file name will be `nameToArchive buildArchive?`.\n"},"Lake.PackageConfig.binDir":{"sourceLink":"https://example.com#L140-L140","name":"Lake.PackageConfig.binDir","line":140,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.PackageConfig.binDir","doc":"The build subdirectory to which Lake should output the package's binary executable.\nDefaults to `defaultBinDir` (i.e., `bin`).\n"},"Lake.PackageConfig":{"sourceLink":"https://example.com#L77-L168","name":"Lake.PackageConfig","line":77,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.PackageConfig","doc":"A `Package`'s declarative configuration. "},"Lake.Package.weakLeanArgs":{"sourceLink":"https://example.com#L320-L321","name":"Lake.Package.weakLeanArgs","line":320,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.weakLeanArgs","doc":"The package's `weakLeanArgs` configuration. "},"Lake.Package.targetBuildKey":{"sourceLink":"https://example.com#L44-L45","name":"Lake.Package.targetBuildKey","line":44,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.targetBuildKey","doc":""},"Lake.Package.target":{"sourceLink":"https://example.com#L232-L233","name":"Lake.Package.target","line":232,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.target","doc":"Build info for a custom package target. "},"Lake.Package.srcDir":{"sourceLink":"https://example.com#L332-L333","name":"Lake.Package.srcDir","line":332,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.srcDir","doc":"The package's `dir` joined with its `srcDir` configuration. "},"Lake.Package.scripts":{"sourceLink":"https://example.com#L207-L207","name":"Lake.Package.scripts","line":207,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.scripts","doc":"Scripts for the package. "},"Lake.Package.rootDir":{"sourceLink":"https://example.com#L336-L337","name":"Lake.Package.rootDir","line":336,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.rootDir","doc":"The package's root directory for `lean` (i.e., `srcDir`). "},"Lake.Package.remoteUrl?":{"sourceLink":"https://example.com#L188-L188","name":"Lake.Package.remoteUrl?","line":188,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.remoteUrl?","doc":"The URL to this package's Git remote. "},"Lake.Package.releaseRepo?":{"sourceLink":"https://example.com#L275-L276","name":"Lake.Package.releaseRepo?","line":275,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.releaseRepo?","doc":"The package's `releaseRepo?` configuration. "},"Lake.Package.releaseFacetConfig":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Package.releaseFacetConfig","line":73,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.releaseFacetConfig","doc":"The `PackageFacetConfig` for the builtin `releaseFacet`. "},"Lake.Package.releaseFacet":{"sourceLink":"https://example.com#L91-L91","name":"Lake.Package.releaseFacet","line":91,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.releaseFacet","doc":"A package's cloud build release. "},"Lake.Package.release?":{"sourceLink":"https://example.com#L282-L285","name":"Lake.Package.release?","line":282,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.release?","doc":"The package's URL × tag release.\nTries `releaseRepo?` first and then falls back to `remoteUrl?`.\n"},"Lake.Package.release":{"sourceLink":"https://example.com#L224-L225","name":"Lake.Package.release","line":224,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.release","doc":"A package's cloud build release. "},"Lake.Package.relPkgsDir":{"sourceLink":"https://example.com#L255-L256","name":"Lake.Package.relPkgsDir","line":255,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.relPkgsDir","doc":"The path for storing the package's remote dependencies relative to `dir`.\nEither its `packagesDir` configuration or `defaultPackagesDir`.\n"},"Lake.Package.recComputeDeps":{"sourceLink":"https://example.com#L18-L29","name":"Lake.Package.recComputeDeps","line":18,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recComputeDeps","doc":"Compute a topological ordering of the package's transitive dependencies. "},"Lake.Package.recBuildExtraDepTargets":{"sourceLink":"https://example.com#L39-L50","name":"Lake.Package.recBuildExtraDepTargets","line":39,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.recBuildExtraDepTargets","doc":"Build the `extraDepTargets` for the package and its transitive dependencies.\nAlso fetch pre-built releases for the package's' dependencies.\n"},"Lake.Package.preferReleaseBuild":{"sourceLink":"https://example.com#L300-L301","name":"Lake.Package.preferReleaseBuild","line":300,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.preferReleaseBuild","doc":"The package's `preferReleaseBuild` configuration. "},"Lake.Package.precompileModules":{"sourceLink":"https://example.com#L304-L305","name":"Lake.Package.precompileModules","line":304,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.precompileModules","doc":"The package's `precompileModules` configuration. "},"Lake.Package.pkgsDir":{"sourceLink":"https://example.com#L259-L260","name":"Lake.Package.pkgsDir","line":259,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.pkgsDir","doc":"The package's `dir` joined with its `relPkgsDir` "},"Lake.Package.opaqueTargetConfigs":{"sourceLink":"https://example.com#L200-L200","name":"Lake.Package.opaqueTargetConfigs","line":200,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueTargetConfigs","doc":"(Opaque references to) targets defined in the package. "},"Lake.Package.opaqueDeps":{"sourceLink":"https://example.com#L192-L192","name":"Lake.Package.opaqueDeps","line":192,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.opaqueDeps","doc":"(Opaque references to) the package's direct dependencies. "},"Lake.Package.nativeLibDir":{"sourceLink":"https://example.com#L344-L345","name":"Lake.Package.nativeLibDir","line":344,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.nativeLibDir","doc":"The package's `buildDir` joined with its `nativeLibDir` configuration. "},"Lake.Package.name":{"sourceLink":"https://example.com#L230-L231","name":"Lake.Package.name","line":230,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.name","doc":"The package's name. "},"Lake.Package.moreServerArgs":{"sourceLink":"https://example.com#L308-L309","name":"Lake.Package.moreServerArgs","line":308,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreServerArgs","doc":"The package's `moreServerArgs` configuration. "},"Lake.Package.moreLinkArgs":{"sourceLink":"https://example.com#L328-L329","name":"Lake.Package.moreLinkArgs","line":328,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLinkArgs","doc":"The package's `moreLinkArgs` configuration. "},"Lake.Package.moreLeancArgs":{"sourceLink":"https://example.com#L324-L325","name":"Lake.Package.moreLeancArgs","line":324,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeancArgs","doc":"The package's `moreLeancArgs` configuration. "},"Lake.Package.moreLeanArgs":{"sourceLink":"https://example.com#L316-L317","name":"Lake.Package.moreLeanArgs","line":316,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.moreLeanArgs","doc":"The package's `moreLeanArgs` configuration. "},"Lake.Package.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Package.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.Package.mk","doc":""},"Lake.Package.manifestFile":{"sourceLink":"https://example.com#L263-L264","name":"Lake.Package.manifestFile","line":263,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.manifestFile","doc":"The package's JSON manifest of remote dependencies. "},"Lake.Package.leanOpts":{"sourceLink":"https://example.com#L186-L186","name":"Lake.Package.leanOpts","line":186,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanOpts","doc":"The Lean `Options` the package configuration was elaborated with. "},"Lake.Package.leanLibs":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanLibs","line":19,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.leanLibs","doc":"The Lean libraries of the package (as an Array). "},"Lake.Package.leanLibDir":{"sourceLink":"https://example.com#L340-L341","name":"Lake.Package.leanLibDir","line":340,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibDir","doc":"The package's `buildDir` joined with its `leanLibDir` configuration. "},"Lake.Package.leanLibConfigs":{"sourceLink":"https://example.com#L194-L194","name":"Lake.Package.leanLibConfigs","line":194,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanLibConfigs","doc":"Lean library configurations for the package. "},"Lake.Package.leanExes":{"sourceLink":"https://example.com#L19-L20","name":"Lake.Package.leanExes","line":19,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.leanExes","doc":"The Lean executables of the package (as an Array). "},"Lake.Package.leanExeConfigs":{"sourceLink":"https://example.com#L196-L196","name":"Lake.Package.leanExeConfigs","line":196,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.leanExeConfigs","doc":"Lean binary executable configurations for the package. "},"Lake.Package.isLocalModule":{"sourceLink":"https://example.com#L356-L357","name":"Lake.Package.isLocalModule","line":356,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isLocalModule","doc":"Whether the given module is considered local to the package. "},"Lake.Package.isBuildableModule":{"sourceLink":"https://example.com#L360-L362","name":"Lake.Package.isBuildableModule","line":360,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.isBuildableModule","doc":"Whether the given module is in the package (i.e., can build it). "},"Lake.Package.irDir":{"sourceLink":"https://example.com#L352-L353","name":"Lake.Package.irDir","line":352,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.irDir","doc":"The package's `buildDir` joined with its `irDir` configuration. "},"Lake.Package.gitTag?":{"sourceLink":"https://example.com#L190-L190","name":"Lake.Package.gitTag?","line":190,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.gitTag?","doc":"The Git tag of this package. "},"Lake.Package.findTargetConfig?":{"sourceLink":"https://example.com#L35-L36","name":"Lake.Package.findTargetConfig?","line":35,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.Package.findTargetConfig?","doc":"Try to find a target configuration in the package with the given name . "},"Lake.Package.findModule?":{"sourceLink":"https://example.com#L85-L87","name":"Lake.Package.findModule?","line":85,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findModule?","doc":"Locate the named module in the package (if it is buildable and local to it). "},"Lake.Package.findLeanLib?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanLib?","line":23,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.Package.findLeanLib?","doc":"Try to find a Lean library in the package with the given name. "},"Lake.Package.findLeanExe?":{"sourceLink":"https://example.com#L23-L24","name":"Lake.Package.findLeanExe?","line":23,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.Package.findLeanExe?","doc":"Try to find a Lean executable in the package with the given name. "},"Lake.Package.findExternLib?":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Package.findExternLib?","line":24,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.findExternLib?","doc":"Try to find a external library in the package with the given name. "},"Lake.Package.fetchTargetJob":{"sourceLink":"https://example.com#L17-L21","name":"Lake.Package.fetchTargetJob","line":17,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchTargetJob","doc":"Fetch the build job of the specified package target. "},"Lake.Package.fetchRelease":{"sourceLink":"https://example.com#L57-L70","name":"Lake.Package.fetchRelease","line":57,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.fetchRelease","doc":"Download and unpack the package's prebuilt release archive (from GitHub). "},"Lake.Package.fetchFacetJob":{"sourceLink":"https://example.com#L49-L53","name":"Lake.Package.fetchFacetJob","line":49,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Package.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.Package.facetBuildKey":{"sourceLink":"https://example.com#L41-L42","name":"Lake.Package.facetBuildKey","line":41,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facetBuildKey","doc":""},"Lake.Package.facet":{"sourceLink":"https://example.com#L220-L221","name":"Lake.Package.facet","line":220,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.facet","doc":"Build info for the package's specified facet. "},"Lake.Package.extraDepTargets":{"sourceLink":"https://example.com#L271-L272","name":"Lake.Package.extraDepTargets","line":271,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.extraDepTargets","doc":"The package's `extraDepTargets` configuration. "},"Lake.Package.extraDepFacetConfig":{"sourceLink":"https://example.com#L53-L54","name":"Lake.Package.extraDepFacetConfig","line":53,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.extraDepFacetConfig","doc":"The `PackageFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Package.extraDepFacet":{"sourceLink":"https://example.com#L95-L95","name":"Lake.Package.extraDepFacet","line":95,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Package.extraDepFacet","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.extraDep":{"sourceLink":"https://example.com#L228-L229","name":"Lake.Package.extraDep","line":228,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.extraDep","doc":"A package's `extraDepTargets` mixed with its transitive dependencies'. "},"Lake.Package.externLibs":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Package.externLibs","line":20,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.Package.externLibs","doc":"The external libraries of the package (as an Array). "},"Lake.Package.externLibConfigs":{"sourceLink":"https://example.com#L198-L198","name":"Lake.Package.externLibConfigs","line":198,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.externLibConfigs","doc":"External library targets for the package. "},"Lake.Package.dir":{"sourceLink":"https://example.com#L180-L180","name":"Lake.Package.dir","line":180,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.dir","doc":"The path to the package's directory. "},"Lake.Package.depsFacetConfig":{"sourceLink":"https://example.com#L32-L33","name":"Lake.Package.depsFacetConfig","line":32,"kind":"def","docLink":"./Lake/Build/Package.html#Lake.Package.depsFacetConfig","doc":"The `PackageFacetConfig` for the builtin `depsFacet`. "},"Lake.Package.depsFacet":{"sourceLink":"https://example.com#L167-L167","name":"Lake.Package.depsFacet","line":167,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Package.depsFacet","doc":"The package's complete array of transitive dependencies. "},"Lake.Package.deps":{"sourceLink":"https://example.com#L248-L249","name":"Lake.Package.deps","line":248,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.deps","doc":"The package's direct dependencies. "},"Lake.Package.defaultTargets":{"sourceLink":"https://example.com#L205-L205","name":"Lake.Package.defaultTargets","line":205,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultTargets","doc":"The names of the package's targets to build by default\n(i.e., on a bare `lake build` of the package).\n"},"Lake.Package.defaultScripts":{"sourceLink":"https://example.com#L212-L212","name":"Lake.Package.defaultScripts","line":212,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.defaultScripts","doc":"The names of the package's scripts run by default\n(i.e., on a bare `lake run` of the package).\n"},"Lake.Package.configEnv":{"sourceLink":"https://example.com#L184-L184","name":"Lake.Package.configEnv","line":184,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.configEnv","doc":"The elaboration environment of the package's configuration file. "},"Lake.Package.config":{"sourceLink":"https://example.com#L182-L182","name":"Lake.Package.config","line":182,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.config","doc":"The package's user-defined configuration. "},"Lake.Package.clean":{"sourceLink":"https://example.com#L365-L367","name":"Lake.Package.clean","line":365,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.clean","doc":"Remove the package's build outputs (i.e., delete its build directory). "},"Lake.Package.buildType":{"sourceLink":"https://example.com#L312-L313","name":"Lake.Package.buildType","line":312,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildType","doc":"The package's `buildType` configuration. "},"Lake.Package.buildDir":{"sourceLink":"https://example.com#L267-L268","name":"Lake.Package.buildDir","line":267,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildDir","doc":"The package's `dir` joined with its `buildDir` configuration. "},"Lake.Package.buildArchiveFile":{"sourceLink":"https://example.com#L296-L297","name":"Lake.Package.buildArchiveFile","line":296,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchiveFile","doc":"The package's `buildDir` joined with its `buildArchive` configuration. "},"Lake.Package.buildArchive?":{"sourceLink":"https://example.com#L288-L289","name":"Lake.Package.buildArchive?","line":288,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive?","doc":"The package's `buildArchive?` configuration. "},"Lake.Package.buildArchive":{"sourceLink":"https://example.com#L292-L293","name":"Lake.Package.buildArchive","line":292,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.buildArchive","doc":"The file name of the package's build archive derived from `buildArchive?`. "},"Lake.Package.binDir":{"sourceLink":"https://example.com#L348-L349","name":"Lake.Package.binDir","line":348,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.Package.binDir","doc":"The package's `buildDir` joined with its `binDir` configuration. "},"Lake.Package":{"sourceLink":"https://example.com#L178-L212","name":"Lake.Package","line":178,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.Package","doc":"A Lake package -- its location plus its configuration. "},"Lake.OrderedTagAttribute.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.OrderedTagAttribute.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.mk","doc":""},"Lake.OrderedTagAttribute.hasTag":{"sourceLink":"https://example.com#L42-L45","name":"Lake.OrderedTagAttribute.hasTag","line":42,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.hasTag","doc":""},"Lake.OrderedTagAttribute.ext":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrderedTagAttribute.ext","line":13,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.ext","doc":""},"Lake.OrderedTagAttribute.attr":{"sourceLink":"https://example.com#L12-L12","name":"Lake.OrderedTagAttribute.attr","line":12,"kind":"def","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute.attr","doc":""},"Lake.OrderedTagAttribute":{"sourceLink":"https://example.com#L11-L14","name":"Lake.OrderedTagAttribute","line":11,"kind":"structure","docLink":"./Lake/Util/OrderedTagAttribute.html#Lake.OrderedTagAttribute","doc":""},"Lake.OrdPackageSet.empty":{"sourceLink":"https://example.com#L227-L227","name":"Lake.OrdPackageSet.empty","line":227,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet.empty","doc":""},"Lake.OrdPackageSet":{"sourceLink":"https://example.com#L226-L226","name":"Lake.OrdPackageSet","line":226,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OrdPackageSet","doc":""},"Lake.OrdModuleSet.empty":{"sourceLink":"https://example.com#L30-L30","name":"Lake.OrdModuleSet.empty","line":30,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet.empty","doc":""},"Lake.OrdModuleSet":{"sourceLink":"https://example.com#L29-L29","name":"Lake.OrdModuleSet","line":29,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.OrdModuleSet","doc":""},"Lake.OrdHashSet.toHashSet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OrdHashSet.toHashSet","line":14,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toHashSet","doc":""},"Lake.OrdHashSet.toArray":{"sourceLink":"https://example.com#L15-L15","name":"Lake.OrdHashSet.toArray","line":15,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.toArray","doc":""},"Lake.OrdHashSet.ofArray":{"sourceLink":"https://example.com#L43-L44","name":"Lake.OrdHashSet.ofArray","line":43,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.ofArray","doc":""},"Lake.OrdHashSet.mkEmpty":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OrdHashSet.mkEmpty","line":24,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mkEmpty","doc":""},"Lake.OrdHashSet.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.OrdHashSet.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.mk","doc":""},"Lake.OrdHashSet.instHAppendOrdHashSetArray":{"sourceLink":"https://example.com#L36-L36","name":"Lake.OrdHashSet.instHAppendOrdHashSetArray","line":36,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instHAppendOrdHashSetArray","doc":""},"Lake.OrdHashSet.instAppendOrdHashSet":{"sourceLink":"https://example.com#L41-L41","name":"Lake.OrdHashSet.instAppendOrdHashSet","line":41,"kind":"instance","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.instAppendOrdHashSet","doc":""},"Lake.OrdHashSet.insert":{"sourceLink":"https://example.com#L27-L31","name":"Lake.OrdHashSet.insert","line":27,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.insert","doc":""},"Lake.OrdHashSet.foldrM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.OrdHashSet.foldrM","line":55,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldrM","doc":""},"Lake.OrdHashSet.foldr":{"sourceLink":"https://example.com#L52-L53","name":"Lake.OrdHashSet.foldr","line":52,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldr","doc":""},"Lake.OrdHashSet.foldlM":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OrdHashSet.foldlM","line":49,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldlM","doc":""},"Lake.OrdHashSet.foldl":{"sourceLink":"https://example.com#L46-L47","name":"Lake.OrdHashSet.foldl","line":46,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.foldl","doc":""},"Lake.OrdHashSet.empty":{"sourceLink":"https://example.com#L21-L22","name":"Lake.OrdHashSet.empty","line":21,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.empty","doc":""},"Lake.OrdHashSet.appendArray":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OrdHashSet.appendArray","line":33,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.appendArray","doc":""},"Lake.OrdHashSet.append":{"sourceLink":"https://example.com#L38-L39","name":"Lake.OrdHashSet.append","line":38,"kind":"def","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet.append","doc":""},"Lake.OrdHashSet":{"sourceLink":"https://example.com#L13-L15","name":"Lake.OrdHashSet","line":13,"kind":"structure","docLink":"./Lake/Util/OrdHashSet.html#Lake.OrdHashSet","doc":"A `HashSet` that preserves insertion order. "},"Lake.OptionTask":{"sourceLink":"https://example.com#L14-L14","name":"Lake.OptionTask","line":14,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionTask","doc":""},"Lake.OptionIOTask":{"sourceLink":"https://example.com#L20-L20","name":"Lake.OptionIOTask","line":20,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.OptionIOTask","doc":""},"Lake.OptionIO.toIO":{"sourceLink":"https://example.com#L27-L28","name":"Lake.OptionIO.toIO","line":27,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toIO","doc":""},"Lake.OptionIO.toEIO":{"sourceLink":"https://example.com#L24-L25","name":"Lake.OptionIO.toEIO","line":24,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toEIO","doc":""},"Lake.OptionIO.toBaseIO":{"sourceLink":"https://example.com#L19-L22","name":"Lake.OptionIO.toBaseIO","line":19,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.toBaseIO","doc":""},"Lake.OptionIO.orElse":{"sourceLink":"https://example.com#L36-L37","name":"Lake.OptionIO.orElse","line":36,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.orElse","doc":""},"Lake.OptionIO.mk":{"sourceLink":"https://example.com#L16-L17","name":"Lake.OptionIO.mk","line":16,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.mk","doc":""},"Lake.OptionIO.instAlternativeOptionIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.OptionIO.instAlternativeOptionIO","line":39,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.instAlternativeOptionIO","doc":""},"Lake.OptionIO.failure":{"sourceLink":"https://example.com#L33-L34","name":"Lake.OptionIO.failure","line":33,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.failure","doc":""},"Lake.OptionIO.catchFailure":{"sourceLink":"https://example.com#L30-L31","name":"Lake.OptionIO.catchFailure","line":30,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.catchFailure","doc":""},"Lake.OptionIO.asTask":{"sourceLink":"https://example.com#L49-L50","name":"Lake.OptionIO.asTask","line":49,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.asTask","doc":""},"Lake.OptionIO.OptionIO.finally":{"sourceLink":"https://example.com#L43-L47","name":"Lake.OptionIO.OptionIO.finally","line":43,"kind":"instance","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO.OptionIO.finally","doc":""},"Lake.OptionIO":{"sourceLink":"https://example.com#L9-L9","name":"Lake.OptionIO","line":9,"kind":"def","docLink":"./Lake/Util/OptionIO.html#Lake.OptionIO","doc":"Conceptually identical to `OptionT BaseIO`, but practically more efficient. "},"Lake.Option.compareWith":{"sourceLink":"https://example.com#L92-L96","name":"Lake.Option.compareWith","line":92,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.Option.compareWith","doc":""},"Lake.OpaqueWorkspace.unsafeMk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeMk","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeMk","doc":""},"Lake.OpaqueWorkspace.unsafeGet":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.unsafeGet","line":35,"kind":"def","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.unsafeGet","doc":""},"Lake.OpaqueWorkspace.nonemptyType":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace.nonemptyType","line":14,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace.nonemptyType","doc":""},"Lake.OpaqueWorkspace.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.mk","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.mk","doc":""},"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instInhabitedOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeWorkspaceOpaqueWorkspace","doc":""},"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","line":35,"kind":"instance","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.instCoeOpaqueWorkspaceWorkspace","doc":""},"Lake.OpaqueWorkspace.get_mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get_mk","line":35,"kind":"axiom","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get_mk","doc":""},"Lake.OpaqueWorkspace.get":{"sourceLink":"https://example.com#L35-L35","name":"Lake.OpaqueWorkspace.get","line":35,"kind":"opaque","docLink":"./Lake/Config/Workspace.html#Lake.OpaqueWorkspace.get","doc":""},"Lake.OpaqueWorkspace":{"sourceLink":"https://example.com#L14-L15","name":"Lake.OpaqueWorkspace","line":14,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueWorkspace","doc":"Opaque reference to a `Workspace` used for forward declaration. "},"Lake.OpaqueTargetConfig.unsafeMk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeMk","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeMk","doc":""},"Lake.OpaqueTargetConfig.unsafeGet":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.unsafeGet","line":32,"kind":"def","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.unsafeGet","doc":""},"Lake.OpaqueTargetConfig.nonemptyType":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig.nonemptyType","line":17,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig.nonemptyType","doc":""},"Lake.OpaqueTargetConfig.mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.mk","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.mk","doc":""},"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instInhabitedOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeTargetConfigOpaqueTargetConfig","doc":""},"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","line":32,"kind":"instance","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.instCoeOpaqueTargetConfigTargetConfig","doc":""},"Lake.OpaqueTargetConfig.get_mk":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get_mk","line":32,"kind":"axiom","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get_mk","doc":""},"Lake.OpaqueTargetConfig.get":{"sourceLink":"https://example.com#L32-L32","name":"Lake.OpaqueTargetConfig.get","line":32,"kind":"opaque","docLink":"./Lake/Config/TargetConfig.html#Lake.OpaqueTargetConfig.get","doc":""},"Lake.OpaqueTargetConfig":{"sourceLink":"https://example.com#L17-L18","name":"Lake.OpaqueTargetConfig","line":17,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaqueTargetConfig","doc":"Opaque reference to a `TargetConfig` used for forward declaration. "},"Lake.OpaquePackage.unsafeMk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeMk","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeMk","doc":""},"Lake.OpaquePackage.unsafeGet":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.unsafeGet","line":218,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.unsafeGet","doc":""},"Lake.OpaquePackage.nonemptyType":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage.nonemptyType","line":11,"kind":"opaque","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage.nonemptyType","doc":""},"Lake.OpaquePackage.mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.mk","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.mk","doc":""},"Lake.OpaquePackage.instInhabitedOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instInhabitedOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instInhabitedOpaquePackage","doc":""},"Lake.OpaquePackage.instCoePackageOpaquePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoePackageOpaquePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoePackageOpaquePackage","doc":""},"Lake.OpaquePackage.instCoeOpaquePackagePackage":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.instCoeOpaquePackagePackage","line":218,"kind":"instance","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.instCoeOpaquePackagePackage","doc":""},"Lake.OpaquePackage.get_mk":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get_mk","line":218,"kind":"axiom","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get_mk","doc":""},"Lake.OpaquePackage.get":{"sourceLink":"https://example.com#L218-L218","name":"Lake.OpaquePackage.get","line":218,"kind":"opaque","docLink":"./Lake/Config/Package.html#Lake.OpaquePackage.get","doc":""},"Lake.OpaquePackage":{"sourceLink":"https://example.com#L11-L12","name":"Lake.OpaquePackage","line":11,"kind":"def","docLink":"./Lake/Config/Opaque.html#Lake.OpaquePackage","doc":"Opaque reference to a `Package` used for forward declaration. "},"Lake.NilTrace.nilTrace":{"sourceLink":"https://example.com#L36-L36","name":"Lake.NilTrace.nilTrace","line":36,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.nilTrace","doc":"The nil trace. Should not unduly clash with a proper trace. "},"Lake.NilTrace.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.NilTrace.mk","line":34,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.NilTrace.mk","doc":""},"Lake.NilTrace":{"sourceLink":"https://example.com#L34-L36","name":"Lake.NilTrace","line":34,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.NilTrace","doc":""},"Lake.NamedConfigDecl.name":{"sourceLink":"https://example.com#L49-L49","name":"Lake.NamedConfigDecl.name","line":49,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.name","doc":""},"Lake.NamedConfigDecl.mk":{"sourceLink":"https://example.com#L48-L48","name":"Lake.NamedConfigDecl.mk","line":48,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.mk","doc":""},"Lake.NamedConfigDecl.config":{"sourceLink":"https://example.com#L50-L50","name":"Lake.NamedConfigDecl.config","line":50,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl.config","doc":""},"Lake.NamedConfigDecl":{"sourceLink":"https://example.com#L48-L50","name":"Lake.NamedConfigDecl","line":48,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.NamedConfigDecl","doc":"A dependently typed configuration based on its registered name. "},"Lake.NamedArgument":{"sourceLink":"https://example.com#L14-L14","name":"Lake.NamedArgument","line":14,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.NamedArgument","doc":""},"Lake.NameMap.empty":{"sourceLink":"https://example.com#L15-L15","name":"Lake.NameMap.empty","line":15,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.NameMap.empty","doc":""},"Lake.Name.quoteFrom":{"sourceLink":"https://example.com#L69-L72","name":"Lake.Name.quoteFrom","line":69,"kind":"def","docLink":"./Lake/Util/Name.html#Lake.Name.quoteFrom","doc":""},"Lake.Name.quickCmp_rfl":{"sourceLink":"https://example.com#L59-L61","name":"Lake.Name.quickCmp_rfl","line":59,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmp_rfl","doc":""},"Lake.Name.quickCmpAux_iff_eq":{"sourceLink":"https://example.com#L37-L47","name":"Lake.Name.quickCmpAux_iff_eq","line":37,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.quickCmpAux_iff_eq","doc":""},"Lake.Name.isPrefixOf_self":{"sourceLink":"https://example.com#L28-L29","name":"Lake.Name.isPrefixOf_self","line":28,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_self","doc":""},"Lake.Name.isPrefixOf_append":{"sourceLink":"https://example.com#L31-L35","name":"Lake.Name.isPrefixOf_append","line":31,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.isPrefixOf_append","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmpAux":{"sourceLink":"https://example.com#L49-L51","name":"Lake.Name.instLawfulCmpEqNameQuickCmpAux","line":49,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmpAux","doc":""},"Lake.Name.instLawfulCmpEqNameQuickCmp":{"sourceLink":"https://example.com#L63-L65","name":"Lake.Name.instLawfulCmpEqNameQuickCmp","line":63,"kind":"instance","docLink":"./Lake/Util/Name.html#Lake.Name.instLawfulCmpEqNameQuickCmp","doc":""},"Lake.Name.eq_of_quickCmp":{"sourceLink":"https://example.com#L53-L57","name":"Lake.Name.eq_of_quickCmp","line":53,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.eq_of_quickCmp","doc":""},"Lake.Name.beq_false":{"sourceLink":"https://example.com#L25-L26","name":"Lake.Name.beq_false","line":25,"kind":"theorem","docLink":"./Lake/Util/Name.html#Lake.Name.beq_false","doc":""},"Lake.NPackage.name_eq":{"sourceLink":"https://example.com#L235-L235","name":"Lake.NPackage.name_eq","line":235,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name_eq","doc":""},"Lake.NPackage.name":{"sourceLink":"https://example.com#L243-L243","name":"Lake.NPackage.name","line":243,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.NPackage.name","doc":"The package's name. "},"Lake.NPackage.mk":{"sourceLink":"https://example.com#L234-L234","name":"Lake.NPackage.mk","line":234,"kind":"ctor","docLink":"./Lake/Config/Package.html#Lake.NPackage.mk","doc":""},"Lake.NPackage":{"sourceLink":"https://example.com#L234-L235","name":"Lake.NPackage","line":234,"kind":"structure","docLink":"./Lake/Config/Package.html#Lake.NPackage","doc":"A package with a name known at type-level. "},"Lake.MonadWorkspace":{"sourceLink":"https://example.com#L23-L24","name":"Lake.MonadWorkspace","line":23,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadWorkspace","doc":"A monad equipped with a (read-only) Lake `Workspace`. "},"Lake.MonadStore1.store":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadStore1.store","line":11,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.store","doc":""},"Lake.MonadStore1.mk":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadStore1.mk","line":9,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.mk","doc":""},"Lake.MonadStore1.fetch?":{"sourceLink":"https://example.com#L10-L10","name":"Lake.MonadStore1.fetch?","line":10,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore1.fetch?","doc":""},"Lake.MonadStore1":{"sourceLink":"https://example.com#L9-L11","name":"Lake.MonadStore1","line":9,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadStore1","doc":"A monad equipped with a dependently typed key-value store for a particular key. "},"Lake.MonadStore":{"sourceLink":"https://example.com#L25-L25","name":"Lake.MonadStore","line":25,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadStore","doc":"A monad equipped with a key-object store. "},"Lake.MonadLogT.ignoreLog":{"sourceLink":"https://example.com#L99-L100","name":"Lake.MonadLogT.ignoreLog","line":99,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.ignoreLog","doc":""},"Lake.MonadLogT.adaptMethods":{"sourceLink":"https://example.com#L95-L97","name":"Lake.MonadLogT.adaptMethods","line":95,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT.adaptMethods","doc":""},"Lake.MonadLogT":{"sourceLink":"https://example.com#L85-L86","name":"Lake.MonadLogT","line":85,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLogT","doc":""},"Lake.MonadLog.nop":{"sourceLink":"https://example.com#L52-L53","name":"Lake.MonadLog.nop","line":52,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.nop","doc":""},"Lake.MonadLog.mk":{"sourceLink":"https://example.com#L26-L26","name":"Lake.MonadLog.mk","line":26,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.MonadLog.mk","doc":""},"Lake.MonadLog.log":{"sourceLink":"https://example.com#L28-L28","name":"Lake.MonadLog.log","line":28,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.log","doc":""},"Lake.MonadLog.lift":{"sourceLink":"https://example.com#L71-L73","name":"Lake.MonadLog.lift","line":71,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.lift","doc":""},"Lake.MonadLog.io":{"sourceLink":"https://example.com#L57-L62","name":"Lake.MonadLog.io","line":57,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.io","doc":""},"Lake.MonadLog.instMonadLog":{"sourceLink":"https://example.com#L75-L75","name":"Lake.MonadLog.instMonadLog","line":75,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instMonadLog","doc":""},"Lake.MonadLog.instInhabitedMonadLog":{"sourceLink":"https://example.com#L55-L55","name":"Lake.MonadLog.instInhabitedMonadLog","line":55,"kind":"instance","docLink":"./Lake/Util/Log.html#Lake.MonadLog.instInhabitedMonadLog","doc":""},"Lake.MonadLog.getVerbosity":{"sourceLink":"https://example.com#L27-L27","name":"Lake.MonadLog.getVerbosity","line":27,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.getVerbosity","doc":""},"Lake.MonadLog.error":{"sourceLink":"https://example.com#L78-L79","name":"Lake.MonadLog.error","line":78,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.error","doc":"Log the given error message and then fail. "},"Lake.MonadLog.eio":{"sourceLink":"https://example.com#L64-L69","name":"Lake.MonadLog.eio","line":64,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.MonadLog.eio","doc":""},"Lake.MonadLog":{"sourceLink":"https://example.com#L26-L28","name":"Lake.MonadLog","line":26,"kind":"class","docLink":"./Lake/Util/Log.html#Lake.MonadLog","doc":""},"Lake.MonadLakeEnv":{"sourceLink":"https://example.com#L19-L20","name":"Lake.MonadLakeEnv","line":19,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLakeEnv","doc":"A monad equipped with a (read-only) detected environment for Lake. "},"Lake.MonadLake":{"sourceLink":"https://example.com#L27-L28","name":"Lake.MonadLake","line":27,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.MonadLake","doc":"A monad equipped with a (read-only) Lake context. "},"Lake.MonadExit.mk":{"sourceLink":"https://example.com#L11-L11","name":"Lake.MonadExit.mk","line":11,"kind":"ctor","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.mk","doc":""},"Lake.MonadExit.exit":{"sourceLink":"https://example.com#L12-L12","name":"Lake.MonadExit.exit","line":12,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.MonadExit.exit","doc":""},"Lake.MonadExit":{"sourceLink":"https://example.com#L11-L12","name":"Lake.MonadExit","line":11,"kind":"class","docLink":"./Lake/Util/Exit.html#Lake.MonadExit","doc":""},"Lake.MonadError.runIO":{"sourceLink":"https://example.com#L39-L41","name":"Lake.MonadError.runIO","line":39,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runIO","doc":"Perform an IO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.runEIO":{"sourceLink":"https://example.com#L29-L33","name":"Lake.MonadError.runEIO","line":29,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.runEIO","doc":"Perform an EIO action.\nIf it throws an error, invoke `error` with its string representation.\n"},"Lake.MonadError.mk":{"sourceLink":"https://example.com#L8-L8","name":"Lake.MonadError.mk","line":8,"kind":"ctor","docLink":"./Lake/Util/Error.html#Lake.MonadError.mk","doc":""},"Lake.MonadError.error":{"sourceLink":"https://example.com#L9-L9","name":"Lake.MonadError.error","line":9,"kind":"def","docLink":"./Lake/Util/Error.html#Lake.MonadError.error","doc":""},"Lake.MonadError":{"sourceLink":"https://example.com#L8-L9","name":"Lake.MonadError","line":8,"kind":"class","docLink":"./Lake/Util/Error.html#Lake.MonadError","doc":""},"Lake.MonadDStore.store":{"sourceLink":"https://example.com#L18-L18","name":"Lake.MonadDStore.store","line":18,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.store","doc":""},"Lake.MonadDStore.mk":{"sourceLink":"https://example.com#L16-L16","name":"Lake.MonadDStore.mk","line":16,"kind":"ctor","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.mk","doc":""},"Lake.MonadDStore.fetch?":{"sourceLink":"https://example.com#L17-L17","name":"Lake.MonadDStore.fetch?","line":17,"kind":"def","docLink":"./Lake/Util/Store.html#Lake.MonadDStore.fetch?","doc":""},"Lake.MonadDStore":{"sourceLink":"https://example.com#L16-L18","name":"Lake.MonadDStore","line":16,"kind":"class","docLink":"./Lake/Util/Store.html#Lake.MonadDStore","doc":"A monad equipped with a dependently typed key-object store. "},"Lake.MonadBuildStore":{"sourceLink":"https://example.com#L20-L20","name":"Lake.MonadBuildStore","line":20,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.MonadBuildStore","doc":"A monad equipped with a Lake build store. "},"Lake.ModuleSet.empty":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ModuleSet.empty","line":27,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet.empty","doc":""},"Lake.ModuleSet":{"sourceLink":"https://example.com#L26-L26","name":"Lake.ModuleSet","line":26,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleSet","doc":""},"Lake.ModuleMap.empty":{"sourceLink":"https://example.com#L33-L33","name":"Lake.ModuleMap.empty","line":33,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap.empty","doc":""},"Lake.ModuleMap":{"sourceLink":"https://example.com#L32-L32","name":"Lake.ModuleMap","line":32,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.ModuleMap","doc":""},"Lake.ModuleFacetDecl.fetch":{"sourceLink":"https://example.com#L58-L60","name":"Lake.ModuleFacetDecl.fetch","line":58,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetDecl.fetch","doc":"Fetch the build result of a module facet. "},"Lake.ModuleFacetDecl":{"sourceLink":"https://example.com#L56-L56","name":"Lake.ModuleFacetDecl","line":56,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetDecl","doc":"A module facet declaration from a configuration file. "},"Lake.ModuleFacetConfig.fetchJob":{"sourceLink":"https://example.com#L63-L67","name":"Lake.ModuleFacetConfig.fetchJob","line":63,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.ModuleFacetConfig.fetchJob","doc":"Fetch the build job of a module facet. "},"Lake.ModuleFacetConfig":{"sourceLink":"https://example.com#L53-L53","name":"Lake.ModuleFacetConfig","line":53,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.ModuleFacetConfig","doc":"A module facet's declarative configuration. "},"Lake.ModuleFacet.name":{"sourceLink":"https://example.com#L37-L37","name":"Lake.ModuleFacet.name","line":37,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.name","doc":"The name of the module facet. "},"Lake.ModuleFacet.mk":{"sourceLink":"https://example.com#L35-L35","name":"Lake.ModuleFacet.mk","line":35,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.mk","doc":""},"Lake.ModuleFacet.data_eq":{"sourceLink":"https://example.com#L39-L39","name":"Lake.ModuleFacet.data_eq","line":39,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet.data_eq","doc":"Proof that module's facet build result is of type α. "},"Lake.ModuleFacet":{"sourceLink":"https://example.com#L35-L40","name":"Lake.ModuleFacet","line":35,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.ModuleFacet","doc":"A module facet name along with proof of its data type. "},"Lake.ModuleData.olean":{"sourceLink":"https://example.com#L74-L74","name":"Lake.ModuleData.olean","line":74,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.olean","doc":""},"Lake.ModuleData.o":{"sourceLink":"https://example.com#L86-L86","name":"Lake.ModuleData.o","line":86,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.o","doc":""},"Lake.ModuleData.lean.transImports":{"sourceLink":"https://example.com#L152-L152","name":"Lake.ModuleData.lean.transImports","line":152,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.transImports","doc":""},"Lake.ModuleData.lean.precompileImports":{"sourceLink":"https://example.com#L156-L156","name":"Lake.ModuleData.lean.precompileImports","line":156,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.precompileImports","doc":""},"Lake.ModuleData.lean.imports":{"sourceLink":"https://example.com#L148-L148","name":"Lake.ModuleData.lean.imports","line":148,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.lean.imports","doc":""},"Lake.ModuleData.importBin":{"sourceLink":"https://example.com#L70-L70","name":"Lake.ModuleData.importBin","line":70,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.importBin","doc":""},"Lake.ModuleData.ilean":{"sourceLink":"https://example.com#L78-L78","name":"Lake.ModuleData.ilean","line":78,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.ilean","doc":""},"Lake.ModuleData.dynlib":{"sourceLink":"https://example.com#L160-L160","name":"Lake.ModuleData.dynlib","line":160,"kind":"axiom","docLink":"./Lake/Build/Info.html#Lake.ModuleData.dynlib","doc":""},"Lake.ModuleData.deps":{"sourceLink":"https://example.com#L54-L54","name":"Lake.ModuleData.deps","line":54,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.deps","doc":""},"Lake.ModuleData.c":{"sourceLink":"https://example.com#L82-L82","name":"Lake.ModuleData.c","line":82,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.c","doc":""},"Lake.ModuleData.bin":{"sourceLink":"https://example.com#L62-L62","name":"Lake.ModuleData.bin","line":62,"kind":"axiom","docLink":"./Lake/Build/Facets.html#Lake.ModuleData.bin","doc":""},"Lake.ModuleData":{"sourceLink":"https://example.com#L24-L24","name":"Lake.ModuleData","line":24,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.ModuleData","doc":"The open type family which maps a module facet's name to its build data\nin the Lake build store. For example, a transitive × direct import pair\nfor the `lean.imports` facet or an active build target for `lean.c`.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `module_data`).\n"},"Lake.Module.weakLeanArgs":{"sourceLink":"https://example.com#L104-L105","name":"Lake.Module.weakLeanArgs","line":104,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.weakLeanArgs","doc":""},"Lake.Module.transImportsFacetConfig":{"sourceLink":"https://example.com#L96-L97","name":"Lake.Module.transImportsFacetConfig","line":96,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.transImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `transImportsFacet`. "},"Lake.Module.transImportsFacet":{"sourceLink":"https://example.com#L151-L151","name":"Lake.Module.transImportsFacet","line":151,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.transImports":{"sourceLink":"https://example.com#L187-L188","name":"Lake.Module.transImports","line":187,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.transImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.traceFile":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Module.traceFile","line":76,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.traceFile","doc":""},"Lake.Module.srcPath":{"sourceLink":"https://example.com#L61-L62","name":"Lake.Module.srcPath","line":61,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.srcPath","doc":""},"Lake.Module.shouldPrecompile":{"sourceLink":"https://example.com#L113-L114","name":"Lake.Module.shouldPrecompile","line":113,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.shouldPrecompile","doc":""},"Lake.Module.rootDir":{"sourceLink":"https://example.com#L55-L56","name":"Lake.Module.rootDir","line":55,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.rootDir","doc":""},"Lake.Module.recParseImports":{"sourceLink":"https://example.com#L79-L84","name":"Lake.Module.recParseImports","line":79,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recParseImports","doc":"Recursively parse the Lean files of a module and its imports\nbuilding an `Array` product of its direct local imports.\n"},"Lake.Module.recComputeTransImports":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.recComputeTransImports","line":91,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputeTransImports","doc":"Recursively compute a module's transitive imports. "},"Lake.Module.recComputePrecompileImports":{"sourceLink":"https://example.com#L100-L105","name":"Lake.Module.recComputePrecompileImports","line":100,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recComputePrecompileImports","doc":"Recursively compute a module's precompiled imports. "},"Lake.Module.recBuildLeanO":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.recBuildLeanO","line":181,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanO","doc":"Recursively build the module's object file from its C file produced by `lean`. "},"Lake.Module.recBuildLeanCore":{"sourceLink":"https://example.com#L146-L149","name":"Lake.Module.recBuildLeanCore","line":146,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildLeanCore","doc":"Recursively build a module and its dependencies. "},"Lake.Module.recBuildDynlib":{"sourceLink":"https://example.com#L190-L219","name":"Lake.Module.recBuildDynlib","line":190,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDynlib","doc":"Recursively build the shared library of a module (e.g., for `--load-dynlib`). "},"Lake.Module.recBuildDeps":{"sourceLink":"https://example.com#L112-L139","name":"Lake.Module.recBuildDeps","line":112,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.recBuildDeps","doc":"Recursively build a module's transitive local imports and shared library dependencies. "},"Lake.Module.precompileImportsFacetConfig":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Module.precompileImportsFacetConfig","line":108,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.precompileImportsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `precompileImportsFacet`. "},"Lake.Module.precompileImportsFacet":{"sourceLink":"https://example.com#L155-L155","name":"Lake.Module.precompileImportsFacet","line":155,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImportsFacet","doc":"The transitive local imports of the Lean module. "},"Lake.Module.precompileImports":{"sourceLink":"https://example.com#L190-L191","name":"Lake.Module.precompileImports","line":190,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.precompileImports","doc":"The transitive local imports of the Lean module. "},"Lake.Module.pkg":{"sourceLink":"https://example.com#L52-L53","name":"Lake.Module.pkg","line":52,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.pkg","doc":""},"Lake.Module.oleanFile":{"sourceLink":"https://example.com#L70-L71","name":"Lake.Module.oleanFile","line":70,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oleanFile","doc":""},"Lake.Module.oleanFacetConfig":{"sourceLink":"https://example.com#L162-L165","name":"Lake.Module.oleanFacetConfig","line":162,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oleanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oleanFacet`. "},"Lake.Module.oleanFacet":{"sourceLink":"https://example.com#L73-L73","name":"Lake.Module.oleanFacet","line":73,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oleanFacet","doc":"The `olean` file produced by `lean` "},"Lake.Module.olean":{"sourceLink":"https://example.com#L202-L203","name":"Lake.Module.olean","line":202,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.olean","doc":"The `olean` file produced by `lean` "},"Lake.Module.oFile":{"sourceLink":"https://example.com#L85-L86","name":"Lake.Module.oFile","line":85,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.oFile","doc":""},"Lake.Module.oFacetConfig":{"sourceLink":"https://example.com#L185-L186","name":"Lake.Module.oFacetConfig","line":185,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.oFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `oFacet`. "},"Lake.Module.oFacet":{"sourceLink":"https://example.com#L85-L85","name":"Lake.Module.oFacet","line":85,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.oFacet","doc":"The object file built from `lean.c` "},"Lake.Module.o":{"sourceLink":"https://example.com#L211-L212","name":"Lake.Module.o","line":211,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.o","doc":"The object file built from `lean.c` "},"Lake.Module.nativeFacets":{"sourceLink":"https://example.com#L116-L117","name":"Lake.Module.nativeFacets","line":116,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.nativeFacets","doc":""},"Lake.Module.name":{"sourceLink":"https://example.com#L16-L16","name":"Lake.Module.name","line":16,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.name","doc":""},"Lake.Module.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Module.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Module.html#Lake.Module.mk","doc":""},"Lake.Module.linkArgs":{"sourceLink":"https://example.com#L110-L111","name":"Lake.Module.linkArgs","line":110,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.linkArgs","doc":""},"Lake.Module.lib":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Module.lib","line":15,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.lib","doc":""},"Lake.Module.leancArgs":{"sourceLink":"https://example.com#L107-L108","name":"Lake.Module.leancArgs","line":107,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leancArgs","doc":""},"Lake.Module.leanLibPath":{"sourceLink":"https://example.com#L67-L68","name":"Lake.Module.leanLibPath","line":67,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanLibPath","doc":""},"Lake.Module.leanFile":{"sourceLink":"https://example.com#L64-L65","name":"Lake.Module.leanFile","line":64,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanFile","doc":""},"Lake.Module.leanBinFacetConfig":{"sourceLink":"https://example.com#L152-L153","name":"Lake.Module.leanBinFacetConfig","line":152,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.leanBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `leanBinFacet`. "},"Lake.Module.leanBinFacet":{"sourceLink":"https://example.com#L61-L61","name":"Lake.Module.leanBinFacet","line":61,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.leanBinFacet","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanBin":{"sourceLink":"https://example.com#L196-L197","name":"Lake.Module.leanBin","line":196,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.leanBin","doc":"The core compilation / elaboration of the Lean file via `lean`,\nwhich produce the Lean binaries of the module (i.e., `olean`, `ilean`, `c`).\nIts trace just includes its dependencies.\n"},"Lake.Module.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.Module.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.leanArgs","doc":""},"Lake.Module.keyName":{"sourceLink":"https://example.com#L21-L21","name":"Lake.Module.keyName","line":21,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.keyName","doc":"The name of the module as a key.\nUsed to create private modules (e.g., executable roots).\n"},"Lake.Module.irPath":{"sourceLink":"https://example.com#L79-L80","name":"Lake.Module.irPath","line":79,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.irPath","doc":""},"Lake.Module.instGetMTimeModule":{"sourceLink":"https://example.com#L124-L124","name":"Lake.Module.instGetMTimeModule","line":124,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instGetMTimeModule","doc":""},"Lake.Module.instComputeHashModuleIO":{"sourceLink":"https://example.com#L129-L129","name":"Lake.Module.instComputeHashModuleIO","line":129,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instComputeHashModuleIO","doc":""},"Lake.Module.instCheckExistsModule":{"sourceLink":"https://example.com#L134-L134","name":"Lake.Module.instCheckExistsModule","line":134,"kind":"instance","docLink":"./Lake/Config/Module.html#Lake.Module.instCheckExistsModule","doc":""},"Lake.Module.importsFacetConfig":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Module.importsFacetConfig","line":87,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importsFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importsFacet`. "},"Lake.Module.importsFacet":{"sourceLink":"https://example.com#L147-L147","name":"Lake.Module.importsFacet","line":147,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importsFacet","doc":"The direct local imports of the Lean module. "},"Lake.Module.imports":{"sourceLink":"https://example.com#L184-L185","name":"Lake.Module.imports","line":184,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.imports","doc":"The direct local imports of the Lean module. "},"Lake.Module.importBinFacetConfig":{"sourceLink":"https://example.com#L156-L159","name":"Lake.Module.importBinFacetConfig","line":156,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.importBinFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `importBinFacet`. "},"Lake.Module.importBinFacet":{"sourceLink":"https://example.com#L69-L69","name":"Lake.Module.importBinFacet","line":69,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.importBinFacet","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.importBin":{"sourceLink":"https://example.com#L199-L200","name":"Lake.Module.importBin","line":199,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.importBin","doc":"The `leanBinFacet` combined with the module's trace\n(i.e., the trace of its `olean` and `ilean`).\nIt is the facet used for building a Lean import of a module.\n"},"Lake.Module.ileanFile":{"sourceLink":"https://example.com#L73-L74","name":"Lake.Module.ileanFile","line":73,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.ileanFile","doc":""},"Lake.Module.ileanFacetConfig":{"sourceLink":"https://example.com#L168-L171","name":"Lake.Module.ileanFacetConfig","line":168,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.ileanFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `ileanFacet`. "},"Lake.Module.ileanFacet":{"sourceLink":"https://example.com#L77-L77","name":"Lake.Module.ileanFacet","line":77,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Module.ileanFacet","doc":"The `ilean` file produced by `lean` "},"Lake.Module.ilean":{"sourceLink":"https://example.com#L205-L206","name":"Lake.Module.ilean","line":205,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.ilean","doc":"The `ilean` file produced by `lean` "},"Lake.Module.getMTime":{"sourceLink":"https://example.com#L121-L122","name":"Lake.Module.getMTime","line":121,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.getMTime","doc":""},"Lake.Module.filePath":{"sourceLink":"https://example.com#L58-L59","name":"Lake.Module.filePath","line":58,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.filePath","doc":""},"Lake.Module.fetchFacetJob":{"sourceLink":"https://example.com#L70-L74","name":"Lake.Module.fetchFacetJob","line":70,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.Module.fetchFacetJob","doc":"Fetch the build job of a module facet. "},"Lake.Module.facetBuildKey":{"sourceLink":"https://example.com#L38-L39","name":"Lake.Module.facetBuildKey","line":38,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facetBuildKey","doc":""},"Lake.Module.facet":{"sourceLink":"https://example.com#L181-L182","name":"Lake.Module.facet","line":181,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.facet","doc":"Build info for the module's specified facet. "},"Lake.Module.dynlibSuffix":{"sourceLink":"https://example.com#L89-L89","name":"Lake.Module.dynlibSuffix","line":89,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibSuffix","doc":"Suffix for single module dynlibs (e.g., for precompilation). "},"Lake.Module.dynlibName":{"sourceLink":"https://example.com#L91-L93","name":"Lake.Module.dynlibName","line":91,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibName","doc":""},"Lake.Module.dynlibFile":{"sourceLink":"https://example.com#L95-L96","name":"Lake.Module.dynlibFile","line":95,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.Module.dynlibFile","doc":""},"Lake.Module.dynlibFacetConfig":{"sourceLink":"https://example.com#L222-L223","name":"Lake.Module.dynlibFacetConfig","line":222,"kind":"def","docLink":"./Lake/Build/Module.html#Lake.Module.dynlibFacetConfig","doc":"The `ModuleFacetConfig` for the builtin `dynlibFacet`. "},"Lake.Module.dynlibFacet":{"sourceLink":"https://example.com#L159-L159","name":"Lake.Module.dynlibFacet","line":159,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.Module.dynlibFacet","doc":"Shared library for `--load-dynlib`. 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"},"Lake.LogT":{"sourceLink":"https://example.com#L111-L112","name":"Lake.LogT","line":111,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogT","doc":""},"Lake.LogLevel.warning":{"sourceLink":"https://example.com#L13-L13","name":"Lake.LogLevel.warning","line":13,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.warning","doc":""},"Lake.LogLevel.info":{"sourceLink":"https://example.com#L12-L12","name":"Lake.LogLevel.info","line":12,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.info","doc":""},"Lake.LogLevel.error":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LogLevel.error","line":14,"kind":"ctor","docLink":"./Lake/Util/Log.html#Lake.LogLevel.error","doc":""},"Lake.LogLevel":{"sourceLink":"https://example.com#L11-L14","name":"Lake.LogLevel","line":11,"kind":"inductive","docLink":"./Lake/Util/Log.html#Lake.LogLevel","doc":""},"Lake.LogIO.captureLog":{"sourceLink":"https://example.com#L108-L109","name":"Lake.LogIO.captureLog","line":108,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO.captureLog","doc":""},"Lake.LogIO":{"sourceLink":"https://example.com#L102-L103","name":"Lake.LogIO","line":102,"kind":"def","docLink":"./Lake/Util/Log.html#Lake.LogIO","doc":""},"Lake.List.lt_irrefl":{"sourceLink":"https://example.com#L79-L82","name":"Lake.List.lt_irrefl","line":79,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.List.lt_irrefl","doc":""},"Lake.LibraryFacetDecl.fetch":{"sourceLink":"https://example.com#L86-L88","name":"Lake.LibraryFacetDecl.fetch","line":86,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetDecl.fetch","doc":"Fetch the build result of a library facet. "},"Lake.LibraryFacetDecl":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LibraryFacetDecl","line":68,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetDecl","doc":"A library facet declaration from a configuration file. "},"Lake.LibraryFacetConfig.fetchJob":{"sourceLink":"https://example.com#L91-L95","name":"Lake.LibraryFacetConfig.fetchJob","line":91,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LibraryFacetConfig.fetchJob","doc":"Fetch the build job of a library facet. "},"Lake.LibraryFacetConfig":{"sourceLink":"https://example.com#L65-L65","name":"Lake.LibraryFacetConfig","line":65,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.LibraryFacetConfig","doc":"A library facet's declarative configuration. "},"Lake.LibraryData":{"sourceLink":"https://example.com#L54-L54","name":"Lake.LibraryData","line":54,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.LibraryData","doc":""},"Lake.LeanLibConfig.srcDir":{"sourceLink":"https://example.com#L26-L26","name":"Lake.LeanLibConfig.srcDir","line":26,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.srcDir","doc":"The subdirectory of the package's source directory containing the library's\nLean source files. 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"},"Lake.LeanLibConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLibConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.mk","doc":""},"Lake.LeanLibConfig.libName":{"sourceLink":"https://example.com#L53-L53","name":"Lake.LeanLibConfig.libName","line":53,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.libName","doc":"The name of the library.\nUsed as a base for the file names of its static and dynamic binaries.\nDefaults to the upper camel case name of the target.\n"},"Lake.LeanLibConfig.isLocalModule":{"sourceLink":"https://example.com#L85-L87","name":"Lake.LeanLibConfig.isLocalModule","line":85,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLibConfig.isBuildableModule":{"sourceLink":"https://example.com#L90-L92","name":"Lake.LeanLibConfig.isBuildableModule","line":90,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLibConfig.globs":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanLibConfig.globs","line":46,"kind":"def","docLink":"./Lake/Config/LeanLibConfig.html#Lake.LeanLibConfig.globs","doc":"An `Array` of module `Glob`s to build for the library.\nDefaults to a `Glob.one` of each of the library's `roots`.\n\nSubmodule globs build every source file within their directory.\nLocal imports of glob'ed files (i.e., fellow modules of the workspace) are\nalso recursively built.\n"},"Lake.LeanLibConfig.get":{"sourceLink":"https://example.com#L79-L83","name":"Lake.LeanLibConfig.get","line":79,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLibConfig.get","doc":"Get the Lean library in the workspace with the configuration's name. 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"},"Lake.LeanLib.rootDir":{"sourceLink":"https://example.com#L37-L38","name":"Lake.LeanLib.rootDir","line":37,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.rootDir","doc":"The library's root directory for `lean` (i.e., `srcDir`). 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"},"Lake.LeanLib.name":{"sourceLink":"https://example.com#L29-L30","name":"Lake.LeanLib.name","line":29,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.name","doc":"The library's well-formed name. "},"Lake.LeanLib.modulesFacetConfig":{"sourceLink":"https://example.com#L41-L42","name":"Lake.LeanLib.modulesFacetConfig","line":41,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.modulesFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `modulesFacet`. "},"Lake.LeanLib.modulesFacet":{"sourceLink":"https://example.com#L163-L163","name":"Lake.LeanLib.modulesFacet","line":163,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modulesFacet","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.modules":{"sourceLink":"https://example.com#L240-L241","name":"Lake.LeanLib.modules","line":240,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.modules","doc":"A Lean library's Lean modules. "},"Lake.LeanLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.mk","doc":""},"Lake.LeanLib.linkArgs":{"sourceLink":"https://example.com#L123-L124","name":"Lake.LeanLib.linkArgs","line":123,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the shared library.\nThat is, the package's `moreLinkArgs` plus the library's `moreLinkArgs`.\n"},"Lake.LeanLib.leancArgs":{"sourceLink":"https://example.com#L116-L117","name":"Lake.LeanLib.leancArgs","line":116,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leancArgs","doc":"The arguments to pass to `leanc` when compiling the library's C files.\nThat is, the build type's `leancArgs`, the package's `moreLeancArgs`,\nand then the library's `moreLeancArgs`.\n"},"Lake.LeanLib.leanFacetConfig":{"sourceLink":"https://example.com#L51-L52","name":"Lake.LeanLib.leanFacetConfig","line":51,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.leanFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `leanFacet`. "},"Lake.LeanLib.leanFacet":{"sourceLink":"https://example.com#L101-L101","name":"Lake.LeanLib.leanFacet","line":101,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.leanFacet","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.leanArgs":{"sourceLink":"https://example.com#L101-L102","name":"Lake.LeanLib.leanArgs","line":101,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.leanArgs","doc":"The arguments to pass to `lean` when compiling the library's Lean files.\nThat is, the package's `moreLeanArgs` plus the library's `moreLeanArgs`.\n"},"Lake.LeanLib.lean":{"sourceLink":"https://example.com#L244-L245","name":"Lake.LeanLib.lean","line":244,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.lean","doc":"A Lean library's Lean libraries. "},"Lake.LeanLib.isLocalModule":{"sourceLink":"https://example.com#L48-L49","name":"Lake.LeanLib.isLocalModule","line":48,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isLocalModule","doc":"Whether the given module is considered local to the library. "},"Lake.LeanLib.isBuildableModule":{"sourceLink":"https://example.com#L52-L53","name":"Lake.LeanLib.isBuildableModule","line":52,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.isBuildableModule","doc":"Whether the given module is a buildable part of the library. "},"Lake.LeanLib.getModuleArray":{"sourceLink":"https://example.com#L40-L44","name":"Lake.LeanLib.getModuleArray","line":40,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.getModuleArray","doc":"Get an `Array` of the library's modules (as specified by its globs). "},"Lake.LeanLib.findModule?":{"sourceLink":"https://example.com#L36-L37","name":"Lake.LeanLib.findModule?","line":36,"kind":"def","docLink":"./Lake/Config/Module.html#Lake.LeanLib.findModule?","doc":"Locate the named module in the library (if it is buildable and local to it). "},"Lake.LeanLib.fetchFacetJob":{"sourceLink":"https://example.com#L98-L102","name":"Lake.LeanLib.fetchFacetJob","line":98,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanLib.fetchFacetJob","doc":"Fetch the build job of a library facet. "},"Lake.LeanLib.facetBuildKey":{"sourceLink":"https://example.com#L47-L48","name":"Lake.LeanLib.facetBuildKey","line":47,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facetBuildKey","doc":""},"Lake.LeanLib.facet":{"sourceLink":"https://example.com#L236-L237","name":"Lake.LeanLib.facet","line":236,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.facet","doc":"Build info of the Lean library's Lean binaries. "},"Lake.LeanLib.extraDepTargets":{"sourceLink":"https://example.com#L72-L73","name":"Lake.LeanLib.extraDepTargets","line":72,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.extraDepTargets","doc":"The library's `extraDepTargets` configuration. "},"Lake.LeanLib.extraDepFacetConfig":{"sourceLink":"https://example.com#L88-L89","name":"Lake.LeanLib.extraDepFacetConfig","line":88,"kind":"def","docLink":"./Lake/Build/Library.html#Lake.LeanLib.extraDepFacetConfig","doc":"The `LibraryFacetConfig` for the builtin `extraDepFacet`. "},"Lake.LeanLib.extraDepFacet":{"sourceLink":"https://example.com#L113-L113","name":"Lake.LeanLib.extraDepFacet","line":113,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanLib.extraDepFacet","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.extraDep":{"sourceLink":"https://example.com#L256-L257","name":"Lake.LeanLib.extraDep","line":256,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanLib.extraDep","doc":"A Lean library's `extraDepTargets` mixed with its package's. "},"Lake.LeanLib.defaultFacets":{"sourceLink":"https://example.com#L83-L84","name":"Lake.LeanLib.defaultFacets","line":83,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.defaultFacets","doc":"The library's `defaultFacets` configuration. "},"Lake.LeanLib.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanLib.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.config","doc":"The library's user-defined configuration. "},"Lake.LeanLib.buildType":{"sourceLink":"https://example.com#L94-L95","name":"Lake.LeanLib.buildType","line":94,"kind":"def","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib.buildType","doc":"The build type for modules of this library.\nThat is, the minimum of package's `buildType` and the library's `buildType`.\n"},"Lake.LeanLib":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanLib","line":12,"kind":"structure","docLink":"./Lake/Config/LeanLib.html#Lake.LeanLib","doc":"A Lean library -- its package plus its configuration. "},"Lake.LeanInstall.systemLibDir":{"sourceLink":"https://example.com#L43-L43","name":"Lake.LeanInstall.systemLibDir","line":43,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.systemLibDir","doc":""},"Lake.LeanInstall.sysroot":{"sourceLink":"https://example.com#L38-L38","name":"Lake.LeanInstall.sysroot","line":38,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sysroot","doc":""},"Lake.LeanInstall.srcDir":{"sourceLink":"https://example.com#L40-L40","name":"Lake.LeanInstall.srcDir","line":40,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.srcDir","doc":""},"Lake.LeanInstall.sharedLibPath":{"sourceLink":"https://example.com#L57-L61","name":"Lake.LeanInstall.sharedLibPath","line":57,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLibPath","doc":"A `SearchPath` including the Lean installation's shared library directories\n(i.e., the system library and Lean library directories).\n"},"Lake.LeanInstall.sharedLib":{"sourceLink":"https://example.com#L47-L47","name":"Lake.LeanInstall.sharedLib","line":47,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.sharedLib","doc":""},"Lake.LeanInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.mk","doc":""},"Lake.LeanInstall.leanc":{"sourceLink":"https://example.com#L46-L46","name":"Lake.LeanInstall.leanc","line":46,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanc","doc":""},"Lake.LeanInstall.leanLibDir":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanInstall.leanLibDir","line":41,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanLibDir","doc":""},"Lake.LeanInstall.leanCc?":{"sourceLink":"https://example.com#L64-L65","name":"Lake.LeanInstall.leanCc?","line":64,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.leanCc?","doc":"The `LEAN_CC` of the Lean installation. "},"Lake.LeanInstall.lean":{"sourceLink":"https://example.com#L45-L45","name":"Lake.LeanInstall.lean","line":45,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.lean","doc":""},"Lake.LeanInstall.includeDir":{"sourceLink":"https://example.com#L42-L42","name":"Lake.LeanInstall.includeDir","line":42,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.includeDir","doc":""},"Lake.LeanInstall.githash":{"sourceLink":"https://example.com#L39-L39","name":"Lake.LeanInstall.githash","line":39,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.githash","doc":""},"Lake.LeanInstall.get.getGithash":{"sourceLink":"https://example.com#L133-L140","name":"Lake.LeanInstall.get.getGithash","line":133,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.getGithash","doc":""},"Lake.LeanInstall.get.findCc":{"sourceLink":"https://example.com#L147-L153","name":"Lake.LeanInstall.get.findCc","line":147,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findCc","doc":""},"Lake.LeanInstall.get.findAr":{"sourceLink":"https://example.com#L141-L146","name":"Lake.LeanInstall.get.findAr","line":141,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get.findAr","doc":""},"Lake.LeanInstall.get":{"sourceLink":"https://example.com#L124-L153","name":"Lake.LeanInstall.get","line":124,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.get","doc":"Construct the `LeanInstall` object for the given Lean sysroot.\n\nDoes the following:\n1. Invokes `lean` to find out its `githash`.\n2. Finds the `ar` and `cc` to use with Lean.\n3. Computes the sub-paths of the Lean install.\n\nFor (1), if the invocation fails, `githash` is set to the empty string.\n\nFor (2), if `LEAN_AR` or `LEAN_CC` are defined, it uses those paths.\nOtherwise, if Lean is packaged with an `llvm-ar` and/or `clang`, use them.\nIf not, use the `ar` and/or `cc` in the system's `PATH`. This last step is\nneeded because internal builds of Lean do not bundle these tools\n(unlike user-facing releases).\n\nWe also track whether `LEAN_CC` was set to determine whether it should\nbe set in the future for `lake env`. This is because if `LEAN_CC` was not set,\nit needs to remain not set for `leanc` to work.\nEven setting it to the bundled compiler will break `leanc` -- see\n[leanprover/lean4#1281](https://github.com/leanprover/lean4/issues/1281).\n\nFor (3), it assumes that the Lean installation is organized the normal way.\nThat is, with its binaries located in `/bin`, its\nLean libraries in `/lib/lean`, and its system libraries in\n`/lib`.\n"},"Lake.LeanInstall.customCc":{"sourceLink":"https://example.com#L50-L50","name":"Lake.LeanInstall.customCc","line":50,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.customCc","doc":""},"Lake.LeanInstall.cc":{"sourceLink":"https://example.com#L49-L49","name":"Lake.LeanInstall.cc","line":49,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.cc","doc":""},"Lake.LeanInstall.binDir":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanInstall.binDir","line":44,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.binDir","doc":""},"Lake.LeanInstall.ar":{"sourceLink":"https://example.com#L48-L48","name":"Lake.LeanInstall.ar","line":48,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall.ar","doc":""},"Lake.LeanInstall":{"sourceLink":"https://example.com#L37-L51","name":"Lake.LeanInstall","line":37,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LeanInstall","doc":"Path information about the local Lean installation. "},"Lake.LeanExeConfig.toLeanLibConfig":{"sourceLink":"https://example.com#L30-L37","name":"Lake.LeanExeConfig.toLeanLibConfig","line":30,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExeConfig.toLeanLibConfig","doc":"Converts the executable configuration into a library\nwith a single module (the root).\n"},"Lake.LeanExeConfig.supportInterpreter":{"sourceLink":"https://example.com#L63-L63","name":"Lake.LeanExeConfig.supportInterpreter","line":63,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.supportInterpreter","doc":"Whether to expose symbols within the executable to the Lean interpreter.\nThis allows the executable to interpret Lean files (e.g., via\n`Lean.Elab.runFrontend`).\n\nImplementation-wise, this passes `-rdynamic` to the linker when building\non non-Windows systems.\n\nDefaults to `false`.\n"},"Lake.LeanExeConfig.srcDir":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LeanExeConfig.srcDir","line":23,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.srcDir","doc":"The subdirectory of the package's source directory containing the executable's\nLean source file. Defaults simply to said `srcDir`.\n\n(This will be passed to `lean` as the `-R` option.)\n"},"Lake.LeanExeConfig.root":{"sourceLink":"https://example.com#L35-L35","name":"Lake.LeanExeConfig.root","line":35,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.root","doc":"The root module of the binary executable.\nShould include a `main` definition that will serve\nas the entry point of the program.\n\nThe root is built by recursively building its\nlocal imports (i.e., fellow modules of the workspace).\n\nDefaults to the name of the target.\n"},"Lake.LeanExeConfig.nativeFacets":{"sourceLink":"https://example.com#L51-L51","name":"Lake.LeanExeConfig.nativeFacets","line":51,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.nativeFacets","doc":"An `Array` of module facets to build and combine into the executable.\nDefaults to ``#[Module.oFacet]`` (i.e., the object file compiled from\nthe Lean source).\n"},"Lake.LeanExeConfig.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.LeanExeConfig.name","line":15,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.name","doc":"The name of the target. "},"Lake.LeanExeConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExeConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.mk","doc":""},"Lake.LeanExeConfig.get":{"sourceLink":"https://example.com#L107-L111","name":"Lake.LeanExeConfig.get","line":107,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.get","doc":"Get the Lean executable in the workspace with the configuration's name. "},"Lake.LeanExeConfig.fetch":{"sourceLink":"https://example.com#L114-L116","name":"Lake.LeanExeConfig.fetch","line":114,"kind":"def","docLink":"./Lake/Build/Targets.html#Lake.LeanExeConfig.fetch","doc":"Fetch the build of the Lean executable. "},"Lake.LeanExeConfig.extraDepTargets":{"sourceLink":"https://example.com#L44-L44","name":"Lake.LeanExeConfig.extraDepTargets","line":44,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.extraDepTargets","doc":"An `Array` of target names to build before the executable's modules. "},"Lake.LeanExeConfig.exeName":{"sourceLink":"https://example.com#L41-L41","name":"Lake.LeanExeConfig.exeName","line":41,"kind":"def","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig.exeName","doc":"The name of the binary executable.\nDefaults to the target name with any `.` replaced with a `-`.\n"},"Lake.LeanExeConfig":{"sourceLink":"https://example.com#L13-L65","name":"Lake.LeanExeConfig","line":13,"kind":"structure","docLink":"./Lake/Config/LeanExeConfig.html#Lake.LeanExeConfig","doc":"A Lean executable's declarative configuration. "},"Lake.LeanExe.toLeanLib":{"sourceLink":"https://example.com#L46-L47","name":"Lake.LeanExe.toLeanLib","line":46,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.toLeanLib","doc":"Converts the executable into a library with a single module (the root). "},"Lake.LeanExe.root":{"sourceLink":"https://example.com#L50-L53","name":"Lake.LeanExe.root","line":50,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.root","doc":"The executable's root module. "},"Lake.LeanExe.recBuildExe":{"sourceLink":"https://example.com#L14-L23","name":"Lake.LeanExe.recBuildExe","line":14,"kind":"def","docLink":"./Lake/Build/Executable.html#Lake.LeanExe.recBuildExe","doc":""},"Lake.LeanExe.pkg":{"sourceLink":"https://example.com#L14-L14","name":"Lake.LeanExe.pkg","line":14,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.pkg","doc":"The package the executable belongs to. "},"Lake.LeanExe.name":{"sourceLink":"https://example.com#L42-L43","name":"Lake.LeanExe.name","line":42,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.name","doc":"The executable's well-formed name. "},"Lake.LeanExe.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanExe.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.mk","doc":""},"Lake.LeanExe.linkArgs":{"sourceLink":"https://example.com#L76-L80","name":"Lake.LeanExe.linkArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.linkArgs","doc":"The arguments to pass to `leanc` when linking the binary executable.\n\nThat is, `-rdynamic` (if non-Windows and `supportInterpreter`) plus the\npackage's and then the executable's `moreLinkArgs`.\n"},"Lake.LeanExe.isRoot?":{"sourceLink":"https://example.com#L56-L57","name":"Lake.LeanExe.isRoot?","line":56,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.isRoot?","doc":"Return the the root module if the name matches, otherwise return none. "},"Lake.LeanExe.fileName":{"sourceLink":"https://example.com#L63-L64","name":"Lake.LeanExe.fileName","line":63,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.fileName","doc":"The file name of binary executable\n(i.e., `exeName` plus the platform's `exeExtension`).\n"},"Lake.LeanExe.file":{"sourceLink":"https://example.com#L67-L68","name":"Lake.LeanExe.file","line":67,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.file","doc":"The path to the executable in the package's `binDir`. "},"Lake.LeanExe.fetch":{"sourceLink":"https://example.com#L107-L108","name":"Lake.LeanExe.fetch","line":107,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.fetch","doc":""},"Lake.LeanExe.exeFacet":{"sourceLink":"https://example.com#L117-L117","name":"Lake.LeanExe.exeFacet","line":117,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.LeanExe.exeFacet","doc":"A Lean binary executable. "},"Lake.LeanExe.exe":{"sourceLink":"https://example.com#L260-L261","name":"Lake.LeanExe.exe","line":260,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.exe","doc":"Build info of the Lean executable. "},"Lake.LeanExe.config":{"sourceLink":"https://example.com#L16-L16","name":"Lake.LeanExe.config","line":16,"kind":"def","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe.config","doc":"The executable's user-defined configuration. "},"Lake.LeanExe.buildKey":{"sourceLink":"https://example.com#L50-L51","name":"Lake.LeanExe.buildKey","line":50,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.LeanExe.buildKey","doc":""},"Lake.LeanExe.build":{"sourceLink":"https://example.com#L104-L105","name":"Lake.LeanExe.build","line":104,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.LeanExe.build","doc":""},"Lake.LeanExe":{"sourceLink":"https://example.com#L12-L16","name":"Lake.LeanExe","line":12,"kind":"structure","docLink":"./Lake/Config/LeanExe.html#Lake.LeanExe","doc":"A Lean executable -- its package plus its configuration. "},"Lake.LeanConfig.weakLeanArgs":{"sourceLink":"https://example.com#L68-L68","name":"Lake.LeanConfig.weakLeanArgs","line":68,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.weakLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n\nUnlike `moreLeanArgs`, these arguments do not affect the trace\nof the build result, so they can be changed without triggering a rebuild.\n"},"Lake.LeanConfig.moreLinkArgs":{"sourceLink":"https://example.com#L82-L82","name":"Lake.LeanConfig.moreLinkArgs","line":82,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLinkArgs","doc":"Additional arguments to pass to `leanc` when linking (e.g., for shared\nlibraries or binary executables). These will come *after* the paths of\nexternal libraries.\n"},"Lake.LeanConfig.moreLeancArgs":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LeanConfig.moreLeancArgs","line":76,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeancArgs","doc":"Additional arguments to pass to `leanc`\nwhen compiling a module's C source files generated by `lean`.\n\nLake already passes some flags based on the `buildType`,\nbut you can change this by, for example, adding `-O0` and `-UNDEBUG`.\n"},"Lake.LeanConfig.moreLeanArgs":{"sourceLink":"https://example.com#L60-L60","name":"Lake.LeanConfig.moreLeanArgs","line":60,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.moreLeanArgs","doc":"Additional arguments to pass to `lean`\nwhen compiling a module's Lean source files.\n"},"Lake.LeanConfig.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LeanConfig.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.mk","doc":""},"Lake.LeanConfig.buildType":{"sourceLink":"https://example.com#L55-L55","name":"Lake.LeanConfig.buildType","line":55,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig.buildType","doc":"The mode in which the modules should be built (e.g., `debug`, `release`).\nDefaults to `release`.\n"},"Lake.LeanConfig":{"sourceLink":"https://example.com#L50-L83","name":"Lake.LeanConfig","line":50,"kind":"structure","docLink":"./Lake/Config/LeanConfig.html#Lake.LeanConfig","doc":"Configuration options common to targets that build modules. "},"Lake.LawfulCmpEq.mk":{"sourceLink":"https://example.com#L22-L22","name":"Lake.LawfulCmpEq.mk","line":22,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.mk","doc":""},"Lake.LawfulCmpEq.cmp_rfl":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LawfulCmpEq.cmp_rfl","line":23,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq.cmp_rfl","doc":""},"Lake.LawfulCmpEq":{"sourceLink":"https://example.com#L22-L23","name":"Lake.LawfulCmpEq","line":22,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.LawfulCmpEq","doc":"Proof that the equality of a compare function corresponds\nto propositional equality and vice versa.\n"},"Lake.LakeT.run":{"sourceLink":"https://example.com#L19-L20","name":"Lake.LakeT.run","line":19,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT.run","doc":""},"Lake.LakeT":{"sourceLink":"https://example.com#L17-L17","name":"Lake.LakeT","line":17,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeT","doc":"A transformer to equip a monad with a `Lake.Context`. "},"Lake.LakeM.run":{"sourceLink":"https://example.com#L25-L26","name":"Lake.LakeM.run","line":25,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM.run","doc":""},"Lake.LakeM":{"sourceLink":"https://example.com#L23-L23","name":"Lake.LakeM","line":23,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.LakeM","doc":"A monad equipped with a `Lake.Context`. "},"Lake.LakeInstall.srcDir":{"sourceLink":"https://example.com#L74-L74","name":"Lake.LakeInstall.srcDir","line":74,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.srcDir","doc":""},"Lake.LakeInstall.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.LakeInstall.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.mk","doc":""},"Lake.LakeInstall.libDir":{"sourceLink":"https://example.com#L76-L76","name":"Lake.LakeInstall.libDir","line":76,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.libDir","doc":""},"Lake.LakeInstall.lake":{"sourceLink":"https://example.com#L77-L77","name":"Lake.LakeInstall.lake","line":77,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.lake","doc":""},"Lake.LakeInstall.home":{"sourceLink":"https://example.com#L73-L73","name":"Lake.LakeInstall.home","line":73,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.home","doc":""},"Lake.LakeInstall.binDir":{"sourceLink":"https://example.com#L75-L75","name":"Lake.LakeInstall.binDir","line":75,"kind":"def","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall.binDir","doc":""},"Lake.LakeInstall":{"sourceLink":"https://example.com#L72-L78","name":"Lake.LakeInstall","line":72,"kind":"structure","docLink":"./Lake/Config/InstallPath.html#Lake.LakeInstall","doc":"Path information about the local Lake installation. "},"Lake.JobM":{"sourceLink":"https://example.com#L17-L17","name":"Lake.JobM","line":17,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.JobM","doc":"The monad of Lake jobs. "},"Lake.Job.nil":{"sourceLink":"https://example.com#L24-L25","name":"Lake.Job.nil","line":24,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.nil","doc":""},"Lake.Job.bindSync":{"sourceLink":"https://example.com#L33-L35","name":"Lake.Job.bindSync","line":33,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindSync","doc":""},"Lake.Job.bindAsync":{"sourceLink":"https://example.com#L37-L39","name":"Lake.Job.bindAsync","line":37,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.bindAsync","doc":""},"Lake.Job.await":{"sourceLink":"https://example.com#L30-L31","name":"Lake.Job.await","line":30,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.await","doc":""},"Lake.Job.async":{"sourceLink":"https://example.com#L27-L28","name":"Lake.Job.async","line":27,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job.async","doc":""},"Lake.Job":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Job","line":14,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.Job","doc":"A Lake job. "},"Lake.IndexT":{"sourceLink":"https://example.com#L122-L122","name":"Lake.IndexT","line":122,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexT","doc":"A transformer to equip a monad with a build function for the Lake index. "},"Lake.IndexBuildM.run":{"sourceLink":"https://example.com#L77-L78","name":"Lake.IndexBuildM.run","line":77,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.IndexBuildM.run","doc":"Run the given recursive build using the Lake build index\nand a topological / suspending scheduler.\n"},"Lake.IndexBuildM":{"sourceLink":"https://example.com#L125-L125","name":"Lake.IndexBuildM","line":125,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildM","doc":"The monad for build functions that are part of the index. "},"Lake.IndexBuildFn":{"sourceLink":"https://example.com#L117-L119","name":"Lake.IndexBuildFn","line":117,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.IndexBuildFn","doc":"A build function for any element of the Lake build index. "},"Lake.Hole":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Hole","line":26,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Hole","doc":""},"Lake.Hash.val":{"sourceLink":"https://example.com#L82-L82","name":"Lake.Hash.val","line":82,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.val","doc":""},"Lake.Hash.toString":{"sourceLink":"https://example.com#L103-L104","name":"Lake.Hash.toString","line":103,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.toString","doc":""},"Lake.Hash.ofString":{"sourceLink":"https://example.com#L108-L109","name":"Lake.Hash.ofString","line":108,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofString","doc":""},"Lake.Hash.ofNat":{"sourceLink":"https://example.com#L87-L88","name":"Lake.Hash.ofNat","line":87,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofNat","doc":""},"Lake.Hash.ofByteArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.Hash.ofByteArray","line":111,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.ofByteArray","doc":""},"Lake.Hash.nil":{"sourceLink":"https://example.com#L93-L94","name":"Lake.Hash.nil","line":93,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.nil","doc":""},"Lake.Hash.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Hash.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.Hash.mk","doc":""},"Lake.Hash.mix":{"sourceLink":"https://example.com#L98-L99","name":"Lake.Hash.mix","line":98,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.mix","doc":""},"Lake.Hash.loadFromFile":{"sourceLink":"https://example.com#L90-L91","name":"Lake.Hash.loadFromFile","line":90,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.Hash.loadFromFile","doc":""},"Lake.Hash.instToStringHash":{"sourceLink":"https://example.com#L106-L106","name":"Lake.Hash.instToStringHash","line":106,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instToStringHash","doc":""},"Lake.Hash.instNilTraceHash":{"sourceLink":"https://example.com#L96-L96","name":"Lake.Hash.instNilTraceHash","line":96,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instNilTraceHash","doc":""},"Lake.Hash.instMixTraceHash":{"sourceLink":"https://example.com#L101-L101","name":"Lake.Hash.instMixTraceHash","line":101,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.Hash.instMixTraceHash","doc":""},"Lake.Hash":{"sourceLink":"https://example.com#L81-L83","name":"Lake.Hash","line":81,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.Hash","doc":"A content hash.\nTODO: Use a secure hash rather than the builtin Lean hash function.\n"},"Lake.Glob.submodules":{"sourceLink":"https://example.com#L18-L19","name":"Lake.Glob.submodules","line":18,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.submodules","doc":"Selects all submodules of the specified module, but not the module itself. "},"Lake.Glob.one":{"sourceLink":"https://example.com#L16-L17","name":"Lake.Glob.one","line":16,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.one","doc":"Selects just the specified module name. "},"Lake.Glob.matches":{"sourceLink":"https://example.com#L39-L42","name":"Lake.Glob.matches","line":39,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.matches","doc":""},"Lake.Glob.forEachModuleIn":{"sourceLink":"https://example.com#L44-L50","name":"Lake.Glob.forEachModuleIn","line":44,"kind":"def","docLink":"./Lake/Config/Glob.html#Lake.Glob.forEachModuleIn","doc":""},"Lake.Glob.andSubmodules":{"sourceLink":"https://example.com#L20-L21","name":"Lake.Glob.andSubmodules","line":20,"kind":"ctor","docLink":"./Lake/Config/Glob.html#Lake.Glob.andSubmodules","doc":"Selects the specified module and all submodules. "},"Lake.Glob":{"sourceLink":"https://example.com#L15-L22","name":"Lake.Glob","line":15,"kind":"inductive","docLink":"./Lake/Config/Glob.html#Lake.Glob","doc":"A specification of a set of module names. "},"Lake.GetMTime.mk":{"sourceLink":"https://example.com#L193-L193","name":"Lake.GetMTime.mk","line":193,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.mk","doc":""},"Lake.GetMTime.getMTime":{"sourceLink":"https://example.com#L194-L194","name":"Lake.GetMTime.getMTime","line":194,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.GetMTime.getMTime","doc":""},"Lake.GetMTime":{"sourceLink":"https://example.com#L193-L194","name":"Lake.GetMTime","line":193,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.GetMTime","doc":""},"Lake.FunBinder":{"sourceLink":"https://example.com#L43-L43","name":"Lake.FunBinder","line":43,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.FunBinder","doc":""},"Lake.Fin.eq_of_compare":{"sourceLink":"https://example.com#L66-L69","name":"Lake.Fin.eq_of_compare","line":66,"kind":"theorem","docLink":"./Lake/Util/Compare.html#Lake.Fin.eq_of_compare","doc":""},"Lake.FetchT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.FetchT","line":49,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.FetchT","doc":"A `DFetchT` that is not dependently typed. "},"Lake.FamilyOut.mk":{"sourceLink":"https://example.com#L141-L141","name":"Lake.FamilyOut.mk","line":141,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.mk","doc":""},"Lake.FamilyOut.family_key_eq_type":{"sourceLink":"https://example.com#L142-L142","name":"Lake.FamilyOut.family_key_eq_type","line":142,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyOut.family_key_eq_type","doc":""},"Lake.FamilyOut":{"sourceLink":"https://example.com#L141-L142","name":"Lake.FamilyOut","line":141,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyOut","doc":"Like `FamilyDef`, but `β` is an `outParam`. "},"Lake.FamilyDef.mk":{"sourceLink":"https://example.com#L137-L137","name":"Lake.FamilyDef.mk","line":137,"kind":"ctor","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.mk","doc":""},"Lake.FamilyDef.family_key_eq_type":{"sourceLink":"https://example.com#L138-L138","name":"Lake.FamilyDef.family_key_eq_type","line":138,"kind":"def","docLink":"./Lake/Util/Family.html#Lake.FamilyDef.family_key_eq_type","doc":""},"Lake.FamilyDef":{"sourceLink":"https://example.com#L137-L138","name":"Lake.FamilyDef","line":137,"kind":"class","docLink":"./Lake/Util/Family.html#Lake.FamilyDef","doc":"Defines a single mapping of the **open type family** `Fam`, namely `Fam a = β`.\nSee the module documentation of `Lake.Util.Family` for details on what an open\ntype family is in Lake.\n"},"Lake.FacetConfig.name":{"sourceLink":"https://example.com#L19-L19","name":"Lake.FacetConfig.name","line":19,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.name","doc":""},"Lake.FacetConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.FacetConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.mk","doc":""},"Lake.FacetConfig.getJob?":{"sourceLink":"https://example.com#L16-L16","name":"Lake.FacetConfig.getJob?","line":16,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.getJob?","doc":"Does this facet produce an associated asynchronous job? "},"Lake.FacetConfig.build":{"sourceLink":"https://example.com#L14-L14","name":"Lake.FacetConfig.build","line":14,"kind":"def","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig.build","doc":"The facet's build (function). "},"Lake.FacetConfig":{"sourceLink":"https://example.com#L12-L17","name":"Lake.FacetConfig","line":12,"kind":"structure","docLink":"./Lake/Config/FacetConfig.html#Lake.FacetConfig","doc":"A facet's declarative configuration. "},"Lake.ExternLibDecl.pkg":{"sourceLink":"https://example.com#L19-L19","name":"Lake.ExternLibDecl.pkg","line":19,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.pkg","doc":""},"Lake.ExternLibDecl.name":{"sourceLink":"https://example.com#L20-L20","name":"Lake.ExternLibDecl.name","line":20,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.name","doc":""},"Lake.ExternLibDecl.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLibDecl.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.mk","doc":""},"Lake.ExternLibDecl.config":{"sourceLink":"https://example.com#L21-L21","name":"Lake.ExternLibDecl.config","line":21,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl.config","doc":""},"Lake.ExternLibDecl":{"sourceLink":"https://example.com#L18-L21","name":"Lake.ExternLibDecl","line":18,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibDecl","doc":"A dependently typed configuration based on its registered package and name. "},"Lake.ExternLibConfig.mk":{"sourceLink":"https://example.com#L12-L12","name":"Lake.ExternLibConfig.mk","line":12,"kind":"ctor","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.mk","doc":""},"Lake.ExternLibConfig.getJob":{"sourceLink":"https://example.com#L14-L14","name":"Lake.ExternLibConfig.getJob","line":14,"kind":"def","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig.getJob","doc":"The library's build data. "},"Lake.ExternLibConfig":{"sourceLink":"https://example.com#L12-L15","name":"Lake.ExternLibConfig","line":12,"kind":"structure","docLink":"./Lake/Config/ExternLibConfig.html#Lake.ExternLibConfig","doc":"A external library's declarative configuration. "},"Lake.ExternLib.staticTargetName":{"sourceLink":"https://example.com#L37-L38","name":"Lake.ExternLib.staticTargetName","line":37,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.staticTargetName","doc":"The name of the package target used to build the external library's static binary. "},"Lake.ExternLib.staticFacet":{"sourceLink":"https://example.com#L121-L121","name":"Lake.ExternLib.staticFacet","line":121,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.staticFacet","doc":"A external library's static binary. "},"Lake.ExternLib.staticBuildKey":{"sourceLink":"https://example.com#L53-L54","name":"Lake.ExternLib.staticBuildKey","line":53,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.staticBuildKey","doc":""},"Lake.ExternLib.static":{"sourceLink":"https://example.com#L264-L265","name":"Lake.ExternLib.static","line":264,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.static","doc":"Build info of the external library's static binary. "},"Lake.ExternLib.sharedFacet":{"sourceLink":"https://example.com#L125-L125","name":"Lake.ExternLib.sharedFacet","line":125,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.sharedFacet","doc":"A external library's shared binary. "},"Lake.ExternLib.sharedBuildKey":{"sourceLink":"https://example.com#L56-L57","name":"Lake.ExternLib.sharedBuildKey","line":56,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.sharedBuildKey","doc":""},"Lake.ExternLib.shared":{"sourceLink":"https://example.com#L268-L269","name":"Lake.ExternLib.shared","line":268,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.shared","doc":"Build info of the external library's shared binary. "},"Lake.ExternLib.recComputeDynlib":{"sourceLink":"https://example.com#L35-L36","name":"Lake.ExternLib.recComputeDynlib","line":35,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recComputeDynlib","doc":""},"Lake.ExternLib.recBuildStatic":{"sourceLink":"https://example.com#L29-L30","name":"Lake.ExternLib.recBuildStatic","line":29,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildStatic","doc":""},"Lake.ExternLib.recBuildShared":{"sourceLink":"https://example.com#L32-L33","name":"Lake.ExternLib.recBuildShared","line":32,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.ExternLib.recBuildShared","doc":""},"Lake.ExternLib.pkg":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ExternLib.pkg","line":13,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.pkg","doc":"The package the library belongs to. "},"Lake.ExternLib.name":{"sourceLink":"https://example.com#L15-L15","name":"Lake.ExternLib.name","line":15,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.name","doc":"The external library's name. "},"Lake.ExternLib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.ExternLib.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.mk","doc":""},"Lake.ExternLib.linkArgs":{"sourceLink":"https://example.com#L33-L34","name":"Lake.ExternLib.linkArgs","line":33,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.linkArgs","doc":"The arguments to pass to `leanc` when linking the external library.\nThat is, the package's `moreLinkArgs`.\n"},"Lake.ExternLib.dynlibFacet":{"sourceLink":"https://example.com#L129-L129","name":"Lake.ExternLib.dynlibFacet","line":129,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.ExternLib.dynlibFacet","doc":"A external library's dynlib. "},"Lake.ExternLib.dynlibBuildKey":{"sourceLink":"https://example.com#L59-L60","name":"Lake.ExternLib.dynlibBuildKey","line":59,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlibBuildKey","doc":""},"Lake.ExternLib.dynlib":{"sourceLink":"https://example.com#L272-L273","name":"Lake.ExternLib.dynlib","line":272,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.ExternLib.dynlib","doc":"Build info of the external library's dynlib. "},"Lake.ExternLib.config":{"sourceLink":"https://example.com#L17-L17","name":"Lake.ExternLib.config","line":17,"kind":"def","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib.config","doc":"The library's user-defined configuration. "},"Lake.ExternLib":{"sourceLink":"https://example.com#L11-L17","name":"Lake.ExternLib","line":11,"kind":"structure","docLink":"./Lake/Config/ExternLib.html#Lake.ExternLib","doc":"An external library -- its package plus its configuration. "},"Lake.ExitCode":{"sourceLink":"https://example.com#L9-L9","name":"Lake.ExitCode","line":9,"kind":"def","docLink":"./Lake/Util/Exit.html#Lake.ExitCode","doc":"A process exit / return code. "},"Lake.EquipT.tryCatch":{"sourceLink":"https://example.com#L87-L88","name":"Lake.EquipT.tryCatch","line":87,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.tryCatch","doc":""},"Lake.EquipT.throw":{"sourceLink":"https://example.com#L83-L84","name":"Lake.EquipT.throw","line":83,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.throw","doc":""},"Lake.EquipT.seq":{"sourceLink":"https://example.com#L46-L47","name":"Lake.EquipT.seq","line":46,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.seq","doc":""},"Lake.EquipT.run":{"sourceLink":"https://example.com#L24-L25","name":"Lake.EquipT.run","line":24,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.run","doc":""},"Lake.EquipT.pure":{"sourceLink":"https://example.com#L35-L36","name":"Lake.EquipT.pure","line":35,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.pure","doc":""},"Lake.EquipT.orElse":{"sourceLink":"https://example.com#L75-L76","name":"Lake.EquipT.orElse","line":75,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.orElse","doc":""},"Lake.EquipT.map":{"sourceLink":"https://example.com#L28-L29","name":"Lake.EquipT.map","line":28,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.map","doc":""},"Lake.EquipT.lift":{"sourceLink":"https://example.com#L64-L65","name":"Lake.EquipT.lift","line":64,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.lift","doc":""},"Lake.EquipT.instSeqEquipT":{"sourceLink":"https://example.com#L49-L50","name":"Lake.EquipT.instSeqEquipT","line":49,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instSeqEquipT","doc":""},"Lake.EquipT.instPureEquipT":{"sourceLink":"https://example.com#L38-L39","name":"Lake.EquipT.instPureEquipT","line":38,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instPureEquipT","doc":""},"Lake.EquipT.instMonadLiftEquipT":{"sourceLink":"https://example.com#L67-L68","name":"Lake.EquipT.instMonadLiftEquipT","line":67,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadLiftEquipT","doc":""},"Lake.EquipT.instMonadExceptOfEquipT":{"sourceLink":"https://example.com#L90-L92","name":"Lake.EquipT.instMonadExceptOfEquipT","line":90,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadExceptOfEquipT","doc":""},"Lake.EquipT.instMonadEquipT":{"sourceLink":"https://example.com#L61-L61","name":"Lake.EquipT.instMonadEquipT","line":61,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instMonadEquipT","doc":""},"Lake.EquipT.instFunctorEquipT":{"sourceLink":"https://example.com#L31-L32","name":"Lake.EquipT.instFunctorEquipT","line":31,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instFunctorEquipT","doc":""},"Lake.EquipT.instBindEquipT":{"sourceLink":"https://example.com#L58-L59","name":"Lake.EquipT.instBindEquipT","line":58,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instBindEquipT","doc":""},"Lake.EquipT.instApplicativeEquipT":{"sourceLink":"https://example.com#L52-L52","name":"Lake.EquipT.instApplicativeEquipT","line":52,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instApplicativeEquipT","doc":""},"Lake.EquipT.instAlternativeEquipT":{"sourceLink":"https://example.com#L78-L80","name":"Lake.EquipT.instAlternativeEquipT","line":78,"kind":"instance","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.instAlternativeEquipT","doc":""},"Lake.EquipT.failure":{"sourceLink":"https://example.com#L71-L72","name":"Lake.EquipT.failure","line":71,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.failure","doc":""},"Lake.EquipT.compose":{"sourceLink":"https://example.com#L42-L43","name":"Lake.EquipT.compose","line":42,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.compose","doc":""},"Lake.EquipT.bind":{"sourceLink":"https://example.com#L55-L56","name":"Lake.EquipT.bind","line":55,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT.bind","doc":""},"Lake.EquipT":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EquipT","line":13,"kind":"def","docLink":"./Lake/Util/EquipT.html#Lake.EquipT","doc":"A monad transformer that equips a monad with a value.\nThis is a generalization of `ReaderT` where the value is not\nnecessarily directly readable through the monad.\n"},"Lake.EqOfCmpWrt.mk":{"sourceLink":"https://example.com#L36-L36","name":"Lake.EqOfCmpWrt.mk","line":36,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.mk","doc":""},"Lake.EqOfCmpWrt.eq_of_cmp_wrt":{"sourceLink":"https://example.com#L37-L37","name":"Lake.EqOfCmpWrt.eq_of_cmp_wrt","line":37,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt.eq_of_cmp_wrt","doc":""},"Lake.EqOfCmpWrt":{"sourceLink":"https://example.com#L36-L37","name":"Lake.EqOfCmpWrt","line":36,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmpWrt","doc":"Proof that the equality of a compare function corresponds\nto propositional equality with respect to a given function.\n"},"Lake.EqOfCmp.mk":{"sourceLink":"https://example.com#L13-L13","name":"Lake.EqOfCmp.mk","line":13,"kind":"ctor","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.mk","doc":""},"Lake.EqOfCmp.eq_of_cmp":{"sourceLink":"https://example.com#L14-L14","name":"Lake.EqOfCmp.eq_of_cmp","line":14,"kind":"def","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp.eq_of_cmp","doc":""},"Lake.EqOfCmp":{"sourceLink":"https://example.com#L13-L14","name":"Lake.EqOfCmp","line":13,"kind":"class","docLink":"./Lake/Util/Compare.html#Lake.EqOfCmp","doc":"Proof that the equality of a compare function corresponds\nto propositional equality.\n"},"Lake.Env.vars":{"sourceLink":"https://example.com#L97-L106","name":"Lake.Env.vars","line":97,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.vars","doc":"Environment variable settings for the `Lake.Env`. "},"Lake.Env.sharedLibPath":{"sourceLink":"https://example.com#L83-L84","name":"Lake.Env.sharedLibPath","line":83,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.sharedLibPath","doc":"The shared library search path of the environment.\nCombines the initial path of the environment with that of the Lean installation.\n"},"Lake.Env.path":{"sourceLink":"https://example.com#L51-L55","name":"Lake.Env.path","line":51,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.path","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Env.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Env.html#Lake.Env.mk","doc":""},"Lake.Env.leanSrcPath":{"sourceLink":"https://example.com#L76-L77","name":"Lake.Env.leanSrcPath","line":76,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSrcPath","doc":"The Lean source search path of the environment (i.e., `LEAN_SRC_PATH`).\nCombines the initial path of the environment with that of the Lake abd Lean\ninstallations.\n"},"Lake.Env.leanSearchPath":{"sourceLink":"https://example.com#L128-L129","name":"Lake.Env.leanSearchPath","line":128,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanSearchPath","doc":"The default search path the Lake executable\nuses when interpreting package configuration files.\n\nIn order to use the Lean stdlib (e.g., `Init`),\nthe executable needs the search path to include the directory\nwith the stdlib's `.olean` files (e.g., from `/lib/lean`).\nIn order to use Lake's modules as well, the search path also\nneeds to include Lake's `.olean` files (e.g., from `build`).\n\nWhile this can be done by having the user augment `LEAN_PATH` with\nthe necessary directories, Lake also intelligently augments the initial\nsearch path with the `.olean` directories of the provided Lean and Lake\ninstallations.\n\nSee `findInstall?` for more information on how Lake determines those\ndirectories. If everything is configured as expected, the user will not\nneed to augment `LEAN_PATH`. Otherwise, they will need to provide Lake\nwith more information (either through `LEAN_PATH` or through other options).\n"},"Lake.Env.leanPath":{"sourceLink":"https://example.com#L68-L69","name":"Lake.Env.leanPath","line":68,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.leanPath","doc":"The Lean library search path of the environment (i.e., `LEAN_PATH`).\nCombines the initial path of the environment with that of the Lake installation.\n"},"Lake.Env.lean":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Env.lean","line":24,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lean","doc":"The Lean installation of the environment. "},"Lake.Env.lake":{"sourceLink":"https://example.com#L22-L22","name":"Lake.Env.lake","line":22,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.lake","doc":"The Lake installation of the environment. "},"Lake.Env.installVars":{"sourceLink":"https://example.com#L87-L94","name":"Lake.Env.installVars","line":87,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.installVars","doc":"Environment variable settings based only on the Lean and Lake installations. "},"Lake.Env.initSharedLibPath":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Env.initSharedLibPath","line":30,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initSharedLibPath","doc":"The initial shared library search path of the environment. "},"Lake.Env.initPath":{"sourceLink":"https://example.com#L32-L32","name":"Lake.Env.initPath","line":32,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initPath","doc":"The initial binary search path of the environment (i.e., `PATH`). "},"Lake.Env.initLeanSrcPath":{"sourceLink":"https://example.com#L28-L28","name":"Lake.Env.initLeanSrcPath","line":28,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanSrcPath","doc":"The initial Lean source search path of the environment (i.e., `LEAN_SRC_PATH`). "},"Lake.Env.initLeanPath":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Env.initLeanPath","line":26,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.initLeanPath","doc":"The initial Lean library search path of the environment (i.e., `LEAN_PATH`). "},"Lake.Env.compute":{"sourceLink":"https://example.com#L38-L45","name":"Lake.Env.compute","line":38,"kind":"def","docLink":"./Lake/Config/Env.html#Lake.Env.compute","doc":"Compute an `Lake.Env` object from the given installs and set environment variables. "},"Lake.Env":{"sourceLink":"https://example.com#L20-L33","name":"Lake.Env","line":20,"kind":"structure","docLink":"./Lake/Config/Env.html#Lake.Env","doc":"A Lake environment. "},"Lake.Ellipsis":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Ellipsis","line":13,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Ellipsis","doc":""},"Lake.ETask":{"sourceLink":"https://example.com#L13-L13","name":"Lake.ETask","line":13,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.ETask","doc":""},"Lake.EStateT.run'":{"sourceLink":"https://example.com#L19-L20","name":"Lake.EStateT.run'","line":19,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run'","doc":""},"Lake.EStateT.run":{"sourceLink":"https://example.com#L16-L17","name":"Lake.EStateT.run","line":16,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT.run","doc":""},"Lake.EStateT":{"sourceLink":"https://example.com#L10-L11","name":"Lake.EStateT","line":10,"kind":"def","docLink":"./Lake/Util/EStateT.html#Lake.EStateT","doc":"An exception plus state monad transformer (ι.e., `ExceptT` + `StateT`). "},"Lake.EIOTask":{"sourceLink":"https://example.com#L19-L19","name":"Lake.EIOTask","line":19,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.EIOTask","doc":""},"Lake.Dynlib.path":{"sourceLink":"https://example.com#L24-L24","name":"Lake.Dynlib.path","line":24,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.path","doc":"Library file path. "},"Lake.Dynlib.name":{"sourceLink":"https://example.com#L26-L26","name":"Lake.Dynlib.name","line":26,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.name","doc":"Library name without platform-specific prefix/suffix (for `-l`). "},"Lake.Dynlib.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dynlib.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.mk","doc":""},"Lake.Dynlib.dir?":{"sourceLink":"https://example.com#L29-L30","name":"Lake.Dynlib.dir?","line":29,"kind":"def","docLink":"./Lake/Build/Facets.html#Lake.Dynlib.dir?","doc":"Optional library directory (for `-L`). "},"Lake.Dynlib":{"sourceLink":"https://example.com#L22-L26","name":"Lake.Dynlib","line":22,"kind":"structure","docLink":"./Lake/Build/Facets.html#Lake.Dynlib","doc":"A dynamic/shared library for linking. "},"Lake.Dependency.src":{"sourceLink":"https://example.com#L35-L35","name":"Lake.Dependency.src","line":35,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.src","doc":"The source of a dependency.\nSee the documentation of `Source` for more information.\n"},"Lake.Dependency.opts":{"sourceLink":"https://example.com#L39-L39","name":"Lake.Dependency.opts","line":39,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.opts","doc":"Arguments to pass to the dependency's package configuration.\n"},"Lake.Dependency.name":{"sourceLink":"https://example.com#L30-L30","name":"Lake.Dependency.name","line":30,"kind":"def","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.name","doc":"A `Name` for the dependency.\nThe names of a package's dependencies cannot clash.\n"},"Lake.Dependency.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Dependency.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Dependency.html#Lake.Dependency.mk","doc":""},"Lake.Dependency":{"sourceLink":"https://example.com#L25-L41","name":"Lake.Dependency","line":25,"kind":"structure","docLink":"./Lake/Config/Dependency.html#Lake.Dependency","doc":"A `Dependency` of a package. "},"Lake.DSL.targetDecl":{"sourceLink":"https://example.com#L123-L140","name":"Lake.DSL.targetDecl","line":123,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.targetDecl","doc":"Define a new custom target for the package. Has one form:\n\n```lean\ntarget «target-name» (pkg : NPackage _package.name) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n"},"Lake.DSL.structVal":{"sourceLink":"https://example.com#L27-L28","name":"Lake.DSL.structVal","line":27,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structVal","doc":""},"Lake.DSL.structDeclSig":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DSL.structDeclSig","line":45,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.structDeclSig","doc":""},"Lake.DSL.simpleDeclSig":{"sourceLink":"https://example.com#L42-L43","name":"Lake.DSL.simpleDeclSig","line":42,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleDeclSig","doc":""},"Lake.DSL.simpleBinder":{"sourceLink":"https://example.com#L51-L52","name":"Lake.DSL.simpleBinder","line":51,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.simpleBinder","doc":""},"Lake.DSL.scriptDeclSpec":{"sourceLink":"https://example.com#L13-L14","name":"Lake.DSL.scriptDeclSpec","line":13,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDeclSpec","doc":""},"Lake.DSL.scriptDecl":{"sourceLink":"https://example.com#L16-L25","name":"Lake.DSL.scriptDecl","line":16,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.scriptDecl","doc":"Define a new Lake script for the package. Has two forms:\n\n```lean\nscript «script-name» (args) do /- ... -/\nscript «script-name» (args) := ...\n```\n"},"Lake.DSL.requireDecl":{"sourceLink":"https://example.com#L56-L57","name":"Lake.DSL.requireDecl","line":56,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.requireDecl","doc":"Adds a new package dependency to the workspace. Has two forms:\n\n```lean\nrequire foo from \"path\"/\"to\"/\"local\"/\"package\" with NameMap.empty\nrequire bar from git \"url.git\"@\"rev\"/\"optional\"/\"path-to\"/\"dir-with-pkg\"\n```\n\nEither form supports the optional `with` clause.\nThe `@\"rev\"` and `/\"path\"/\"dir\"` parts of the git form of `require`\nare optional.\n\nThe elements of both the `from` and `with` clauses are proper terms so\nnormal computation is supported within them (though parentheses made be\nrequired to disambiguate the syntax).\n"},"Lake.DSL.packageFacetDecl":{"sourceLink":"https://example.com#L61-L77","name":"Lake.DSL.packageFacetDecl","line":61,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.packageFacetDecl","doc":"Define a new package facet. Has one form:\n\n```lean\npackage_facet «facet-name» (pkg : Package) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\n"},"Lake.DSL.packageDeclName":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.packageDeclName","line":14,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDeclName","doc":"The name given to the definition created by the `package` syntax. "},"Lake.DSL.packageDecl":{"sourceLink":"https://example.com#L29-L35","name":"Lake.DSL.packageDecl","line":29,"kind":"def","docLink":"./Lake/DSL/Package.html#Lake.DSL.packageDecl","doc":"Defines the configuration of a Lake package. Has many forms:\n\n```lean\npackage «pkg-name»\npackage «pkg-name» { /- config opts -/ }\npackage «pkg-name» where /- config opts -/\npackage «pkg-name» : PackageConfig := /- config -/\n```\n\nThere can only be one `package` declaration per Lake configuration file.\nThe defined package configuration will be available for reference as `_package`.\n"},"Lake.DSL.moduleFacetDecl":{"sourceLink":"https://example.com#L33-L49","name":"Lake.DSL.moduleFacetDecl","line":33,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.moduleFacetDecl","doc":"Define a new module facet. Has one form:\n\n```lean\nmodule_facet «facet-name» (mod : Module) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `mod` parameter (and its type specifier) is optional.\n"},"Lake.DSL.mkConfigStructDecl":{"sourceLink":"https://example.com#L72-L86","name":"Lake.DSL.mkConfigStructDecl","line":72,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.mkConfigStructDecl","doc":""},"Lake.DSL.metaIf":{"sourceLink":"https://example.com#L28-L53","name":"Lake.DSL.metaIf","line":28,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.metaIf","doc":"The `meta if` command has two forms:\n\n```lean\nmeta if then \nmeta if then else \n```\n\nIt expands to the command `a` if the term `c` evaluates to true\n(at elaboration time). Otherwise, it expands to command `b` (if an `else`\nclause is provided).\n\nOne can use this command to specify, for example, external library targets\nonly available on specific platforms:\n\n```lean\nmeta if System.Platform.isWindows then\nextern_lib winOnlyLib := ...\nelse meta if System.Platform.isOSX then\nextern_lib macOnlyLib := ...\nelse\nextern_lib linuxOnlyLib := ...\n```\n"},"Lake.DSL.libraryFacetDecl":{"sourceLink":"https://example.com#L89-L105","name":"Lake.DSL.libraryFacetDecl","line":89,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.libraryFacetDecl","doc":"Define a new library facet. Has one form:\n\n```lean\nlibrary_facet «facet-name» (lib : LeanLib) : α :=\n /- build term of type `IndexBuildM (BuildJob α)` -/\n```\n\nThe `lib` parameter (and its type specifier) is optional.\n"},"Lake.DSL.leanLibDecl":{"sourceLink":"https://example.com#L159-L165","name":"Lake.DSL.leanLibDecl","line":159,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanLibDecl","doc":"Define a new Lean library target for the package.\nCan optionally be provided with a configuration of type `LeanLibConfig`.\nHas many forms:\n\n```lean\nlean_lib «target-name»\nlean_lib «target-name» { /- config opts -/ }\nlean_lib «target-name» where /- config opts -/\nlean_lib «target-name» := /- config -/\n```\n"},"Lake.DSL.leanExeDecl":{"sourceLink":"https://example.com#L179-L185","name":"Lake.DSL.leanExeDecl","line":179,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.leanExeDecl","doc":"Define a new Lean binary executable target for the package.\nCan optionally be provided with a configuration of type `LeanExeConfig`.\nHas many forms:\n\n```lean\nlean_exe «target-name»\nlean_exe «target-name» { /- config opts -/ }\nlean_exe «target-name» where /- config opts -/\nlean_exe «target-name» := /- config -/\n```\n"},"Lake.DSL.getConfig":{"sourceLink":"https://example.com#L41-L48","name":"Lake.DSL.getConfig","line":41,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.getConfig","doc":"A macro that expands to the specified configuration option (or `none`,\nif not the option has not been set) during the Lakefile's elaboration.\n\nConfiguration arguments are set either via the Lake CLI (by the `-K` option)\nor via the `with` clause in a `require` statement.\n"},"Lake.DSL.fromPath":{"sourceLink":"https://example.com#L12-L13","name":"Lake.DSL.fromPath","line":12,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromPath","doc":""},"Lake.DSL.fromGit":{"sourceLink":"https://example.com#L15-L16","name":"Lake.DSL.fromGit","line":15,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.fromGit","doc":""},"Lake.DSL.fixName":{"sourceLink":"https://example.com#L68-L70","name":"Lake.DSL.fixName","line":68,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.fixName","doc":""},"Lake.DSL.externLibDeclSpec":{"sourceLink":"https://example.com#L192-L193","name":"Lake.DSL.externLibDeclSpec","line":192,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDeclSpec","doc":""},"Lake.DSL.externLibDecl":{"sourceLink":"https://example.com#L209-L225","name":"Lake.DSL.externLibDecl","line":209,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.externLibDecl","doc":"Define a new external library target for the package. Has one form:\n\n```lean\nextern_lib «target-name» (pkg : NPackage _package.name) :=\n /- build term of type `IndexBuildM (BuildJob FilePath)` -/\n```\n\nThe `pkg` parameter (and its type specifier) is optional.\nIt is of type `NPackage _package.name` to provably demonstrate the package\nprovided is the package in which the target is defined.\n\nThe term should build the external library's **static** library.\n"},"Lake.DSL.expandScriptDecl":{"sourceLink":"https://example.com#L28-L35","name":"Lake.DSL.expandScriptDecl","line":28,"kind":"def","docLink":"./Lake/DSL/Script.html#Lake.DSL.expandScriptDecl","doc":""},"Lake.DSL.expandOptSimpleBinder":{"sourceLink":"https://example.com#L56-L66","name":"Lake.DSL.expandOptSimpleBinder","line":56,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandOptSimpleBinder","doc":""},"Lake.DSL.expandDepSpec":{"sourceLink":"https://example.com#L21-L38","name":"Lake.DSL.expandDepSpec","line":21,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.expandDepSpec","doc":""},"Lake.DSL.expandCmdDo":{"sourceLink":"https://example.com#L23-L26","name":"Lake.DSL.expandCmdDo","line":23,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.expandCmdDo","doc":""},"Lake.DSL.expandAttrs":{"sourceLink":"https://example.com#L19-L25","name":"Lake.DSL.expandAttrs","line":19,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.expandAttrs","doc":""},"Lake.DSL.elabGetConfig":{"sourceLink":"https://example.com#L51-L65","name":"Lake.DSL.elabGetConfig","line":51,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabGetConfig","doc":""},"Lake.DSL.elabDirConst":{"sourceLink":"https://example.com#L31-L39","name":"Lake.DSL.elabDirConst","line":31,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.elabDirConst","doc":""},"Lake.DSL.dummyGetConfig?":{"sourceLink":"https://example.com#L22-L22","name":"Lake.DSL.dummyGetConfig?","line":22,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyGetConfig?","doc":"A dummy default constant for `get_config` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dummyDir":{"sourceLink":"https://example.com#L16-L16","name":"Lake.DSL.dummyDir","line":16,"kind":"opaque","docLink":"./Lake/DSL/Config.html#Lake.DSL.dummyDir","doc":"A dummy default constant for `__dir__` to make it type check\noutside Lakefile elaboration (e.g., when editing).\n"},"Lake.DSL.dirConst":{"sourceLink":"https://example.com#L24-L28","name":"Lake.DSL.dirConst","line":24,"kind":"def","docLink":"./Lake/DSL/Config.html#Lake.DSL.dirConst","doc":"A macro that expands to the path of package's directory\nduring the Lakefile's elaboration.\n"},"Lake.DSL.depSpec":{"sourceLink":"https://example.com#L18-L19","name":"Lake.DSL.depSpec","line":18,"kind":"def","docLink":"./Lake/DSL/Require.html#Lake.DSL.depSpec","doc":""},"Lake.DSL.declValTyped":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DSL.declValTyped","line":36,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValTyped","doc":""},"Lake.DSL.declValStruct":{"sourceLink":"https://example.com#L33-L34","name":"Lake.DSL.declValStruct","line":33,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValStruct","doc":""},"Lake.DSL.declValOptTyped":{"sourceLink":"https://example.com#L39-L40","name":"Lake.DSL.declValOptTyped","line":39,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValOptTyped","doc":""},"Lake.DSL.declValDo":{"sourceLink":"https://example.com#L30-L31","name":"Lake.DSL.declValDo","line":30,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.declValDo","doc":""},"Lake.DSL.cmdDo":{"sourceLink":"https://example.com#L16-L21","name":"Lake.DSL.cmdDo","line":16,"kind":"def","docLink":"./Lake/DSL/Meta.html#Lake.DSL.cmdDo","doc":"The `do` command syntax groups multiple similarly indented commands together.\nThe group can then be passed to another command that usually only accepts a\nsingle command (e.g., `meta if`).\n"},"Lake.DSL.buildDeclSig":{"sourceLink":"https://example.com#L16-L17","name":"Lake.DSL.buildDeclSig","line":16,"kind":"def","docLink":"./Lake/DSL/Targets.html#Lake.DSL.buildDeclSig","doc":""},"Lake.DSL.bracketedSimpleBinder":{"sourceLink":"https://example.com#L48-L49","name":"Lake.DSL.bracketedSimpleBinder","line":48,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.bracketedSimpleBinder","doc":""},"Lake.DSL.WhereDecls":{"sourceLink":"https://example.com#L15-L15","name":"Lake.DSL.WhereDecls","line":15,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.WhereDecls","doc":""},"Lake.DSL.SimpleBinder":{"sourceLink":"https://example.com#L54-L54","name":"Lake.DSL.SimpleBinder","line":54,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.SimpleBinder","doc":""},"Lake.DSL.DocComment":{"sourceLink":"https://example.com#L12-L12","name":"Lake.DSL.DocComment","line":12,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.DocComment","doc":""},"Lake.DSL.Attributes":{"sourceLink":"https://example.com#L13-L13","name":"Lake.DSL.Attributes","line":13,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.Attributes","doc":""},"Lake.DSL.AttrInstance":{"sourceLink":"https://example.com#L14-L14","name":"Lake.DSL.AttrInstance","line":14,"kind":"def","docLink":"./Lake/DSL/DeclUtil.html#Lake.DSL.AttrInstance","doc":""},"Lake.DRecFetchFn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRecFetchFn","line":61,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DRecFetchFn","doc":""},"Lake.DRBMap.toList":{"sourceLink":"https://example.com#L71-L72","name":"Lake.DRBMap.toList","line":71,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.toList","doc":""},"Lake.DRBMap.size":{"sourceLink":"https://example.com#L125-L126","name":"Lake.DRBMap.size","line":125,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.size","doc":""},"Lake.DRBMap.revFold":{"sourceLink":"https://example.com#L52-L53","name":"Lake.DRBMap.revFold","line":52,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.revFold","doc":""},"Lake.DRBMap.ofList":{"sourceLink":"https://example.com#L95-L97","name":"Lake.DRBMap.ofList","line":95,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.ofList","doc":""},"Lake.DRBMap.min!":{"sourceLink":"https://example.com#L131-L134","name":"Lake.DRBMap.min!","line":131,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min!","doc":""},"Lake.DRBMap.min":{"sourceLink":"https://example.com#L74-L78","name":"Lake.DRBMap.min","line":74,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.min","doc":""},"Lake.DRBMap.maxDepth":{"sourceLink":"https://example.com#L128-L129","name":"Lake.DRBMap.maxDepth","line":128,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.maxDepth","doc":""},"Lake.DRBMap.max!":{"sourceLink":"https://example.com#L136-L139","name":"Lake.DRBMap.max!","line":136,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max!","doc":""},"Lake.DRBMap.max":{"sourceLink":"https://example.com#L80-L84","name":"Lake.DRBMap.max","line":80,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.max","doc":""},"Lake.DRBMap.lowerBound":{"sourceLink":"https://example.com#L110-L111","name":"Lake.DRBMap.lowerBound","line":110,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.lowerBound","doc":"(lowerBound k) retrieves the kv pair of the largest key smaller than or equal to `k`,\nif it exists. "},"Lake.DRBMap.isEmpty":{"sourceLink":"https://example.com#L67-L69","name":"Lake.DRBMap.isEmpty","line":67,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.isEmpty","doc":""},"Lake.DRBMap.instReprDRBMap":{"sourceLink":"https://example.com#L86-L87","name":"Lake.DRBMap.instReprDRBMap","line":86,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instReprDRBMap","doc":""},"Lake.DRBMap.instForInDRBMapSigma":{"sourceLink":"https://example.com#L64-L65","name":"Lake.DRBMap.instForInDRBMapSigma","line":64,"kind":"instance","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.instForInDRBMapSigma","doc":""},"Lake.DRBMap.insert":{"sourceLink":"https://example.com#L89-L90","name":"Lake.DRBMap.insert","line":89,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.insert","doc":""},"Lake.DRBMap.fromList":{"sourceLink":"https://example.com#L116-L117","name":"Lake.DRBMap.fromList","line":116,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fromList","doc":""},"Lake.DRBMap.forM":{"sourceLink":"https://example.com#L58-L59","name":"Lake.DRBMap.forM","line":58,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forM","doc":""},"Lake.DRBMap.forIn":{"sourceLink":"https://example.com#L61-L62","name":"Lake.DRBMap.forIn","line":61,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.forIn","doc":""},"Lake.DRBMap.foldM":{"sourceLink":"https://example.com#L55-L56","name":"Lake.DRBMap.foldM","line":55,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.foldM","doc":""},"Lake.DRBMap.fold":{"sourceLink":"https://example.com#L49-L50","name":"Lake.DRBMap.fold","line":49,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.fold","doc":""},"Lake.DRBMap.findD":{"sourceLink":"https://example.com#L105-L106","name":"Lake.DRBMap.findD","line":105,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findD","doc":""},"Lake.DRBMap.findCore?":{"sourceLink":"https://example.com#L99-L100","name":"Lake.DRBMap.findCore?","line":99,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.findCore?","doc":""},"Lake.DRBMap.find?":{"sourceLink":"https://example.com#L102-L103","name":"Lake.DRBMap.find?","line":102,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find?","doc":""},"Lake.DRBMap.find!":{"sourceLink":"https://example.com#L141-L144","name":"Lake.DRBMap.find!","line":141,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.find!","doc":""},"Lake.DRBMap.erase":{"sourceLink":"https://example.com#L92-L93","name":"Lake.DRBMap.erase","line":92,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.erase","doc":""},"Lake.DRBMap.empty":{"sourceLink":"https://example.com#L37-L38","name":"Lake.DRBMap.empty","line":37,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.empty","doc":""},"Lake.DRBMap.depth":{"sourceLink":"https://example.com#L46-L47","name":"Lake.DRBMap.depth","line":46,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.depth","doc":""},"Lake.DRBMap.contains":{"sourceLink":"https://example.com#L113-L114","name":"Lake.DRBMap.contains","line":113,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.contains","doc":""},"Lake.DRBMap.any":{"sourceLink":"https://example.com#L122-L123","name":"Lake.DRBMap.any","line":122,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.any","doc":""},"Lake.DRBMap.all":{"sourceLink":"https://example.com#L119-L120","name":"Lake.DRBMap.all","line":119,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap.all","doc":""},"Lake.DRBMap":{"sourceLink":"https://example.com#L31-L32","name":"Lake.DRBMap","line":31,"kind":"def","docLink":"./Lake/Util/DRBMap.html#Lake.DRBMap","doc":"A Dependently typed `RBMap`. "},"Lake.DNameMap.empty":{"sourceLink":"https://example.com#L175-L175","name":"Lake.DNameMap.empty","line":175,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap.empty","doc":""},"Lake.DNameMap":{"sourceLink":"https://example.com#L174-L174","name":"Lake.DNameMap","line":174,"kind":"def","docLink":"./Lake/Config/Package.html#Lake.DNameMap","doc":""},"Lake.DFetchT":{"sourceLink":"https://example.com#L45-L46","name":"Lake.DFetchT","line":45,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchT","doc":"A transformer that equips a monad with a `DFetchFn`. "},"Lake.DFetchFn":{"sourceLink":"https://example.com#L36-L37","name":"Lake.DFetchFn","line":36,"kind":"def","docLink":"./Lake/Build/Topological.html#Lake.DFetchFn","doc":"A dependently typed monadic *fetch* function.\n\nThat is, a function within the monad `m` and takes an input `a : α`\ndescribing what to fetch and and produces some output `b : β a` (dependently\ntyped) or `b : B` (not) describing what was fetched. All build functions are\nfetch functions, but not all fetch functions need build something.\n"},"Lake.CycleT":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CycleT","line":16,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CycleT","doc":"A transformer that equips a monad with a `CallStack` to detect cycles. "},"Lake.Cycle":{"sourceLink":"https://example.com#L13-L13","name":"Lake.Cycle","line":13,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.Cycle","doc":"A `CallStack` ending in a cycle. "},"Lake.CustomData":{"sourceLink":"https://example.com#L69-L69","name":"Lake.CustomData","line":69,"kind":"opaque","docLink":"./Lake/Build/Data.html#Lake.CustomData","doc":"The open type family which maps a custom target (package × target name) to\nits build data in the Lake build store.\n\nIt is an open type, meaning additional mappings can be add lazily\nas needed (via `custom_data`).\n"},"Lake.Context.workspace":{"sourceLink":"https://example.com#L37-L38","name":"Lake.Context.workspace","line":37,"kind":"def","docLink":"./Lake/Config/Monad.html#Lake.Context.workspace","doc":""},"Lake.Context.opaqueWs":{"sourceLink":"https://example.com#L14-L14","name":"Lake.Context.opaqueWs","line":14,"kind":"def","docLink":"./Lake/Config/Context.html#Lake.Context.opaqueWs","doc":""},"Lake.Context.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.Context.mk","line":1,"kind":"ctor","docLink":"./Lake/Config/Context.html#Lake.Context.mk","doc":""},"Lake.Context":{"sourceLink":"https://example.com#L13-L14","name":"Lake.Context","line":13,"kind":"structure","docLink":"./Lake/Config/Context.html#Lake.Context","doc":"A Lake configuration. "},"Lake.ComputeTrace.mk":{"sourceLink":"https://example.com#L27-L27","name":"Lake.ComputeTrace.mk","line":27,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.mk","doc":""},"Lake.ComputeTrace.computeTrace":{"sourceLink":"https://example.com#L29-L29","name":"Lake.ComputeTrace.computeTrace","line":29,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace.computeTrace","doc":"Compute the trace of some target info using information from the monadic context. "},"Lake.ComputeTrace":{"sourceLink":"https://example.com#L27-L29","name":"Lake.ComputeTrace","line":27,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeTrace","doc":""},"Lake.ComputeHash.mk":{"sourceLink":"https://example.com#L116-L116","name":"Lake.ComputeHash.mk","line":116,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.mk","doc":""},"Lake.ComputeHash.computeHash":{"sourceLink":"https://example.com#L117-L117","name":"Lake.ComputeHash.computeHash","line":117,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash.computeHash","doc":""},"Lake.ComputeHash":{"sourceLink":"https://example.com#L116-L117","name":"Lake.ComputeHash","line":116,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.ComputeHash","doc":""},"Lake.CheckExists.mk":{"sourceLink":"https://example.com#L14-L14","name":"Lake.CheckExists.mk","line":14,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.mk","doc":""},"Lake.CheckExists.checkExists":{"sourceLink":"https://example.com#L16-L16","name":"Lake.CheckExists.checkExists","line":16,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.CheckExists.checkExists","doc":"Check whether there already exists an artifact for the given target info. "},"Lake.CheckExists":{"sourceLink":"https://example.com#L14-L16","name":"Lake.CheckExists","line":14,"kind":"class","docLink":"./Lake/Build/Trace.html#Lake.CheckExists","doc":""},"Lake.CallStack":{"sourceLink":"https://example.com#L10-L10","name":"Lake.CallStack","line":10,"kind":"def","docLink":"./Lake/Util/Cycle.html#Lake.CallStack","doc":"A sequence of calls donated by the key type `κ`. "},"Lake.BuildType.release":{"sourceLink":"https://example.com#L30-L34","name":"Lake.BuildType.release","line":30,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.release","doc":"High optimization level and no debug info, code, or asserts\n(e.g., passes `-O3 -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.relWithDebInfo":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildType.relWithDebInfo","line":20,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.relWithDebInfo","doc":"Optimized, *with* debug info, but no debug code or asserts\n(e.g., passes `-O3 -g -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.minSizeRel":{"sourceLink":"https://example.com#L25-L29","name":"Lake.BuildType.minSizeRel","line":25,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.minSizeRel","doc":"Same as `release` but optimizing for size rather than speed\n(e.g., passes `-Os -DNDEBUG` when compiling C code).\n"},"Lake.BuildType.leancArgs":{"sourceLink":"https://example.com#L43-L47","name":"Lake.BuildType.leancArgs","line":43,"kind":"def","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.leancArgs","doc":"The arguments to pass to `leanc` based on the build type. "},"Lake.BuildType.debug":{"sourceLink":"https://example.com#L13-L19","name":"Lake.BuildType.debug","line":13,"kind":"ctor","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType.debug","doc":"Debug optimization, asserts enabled, custom debug code enabled, and\ndebug info included in executable (so you can step through the code with a\ndebugger and have address to source-file:line-number translation).\nFor example, passes `-Og -g` when compiling C code.\n"},"Lake.BuildType":{"sourceLink":"https://example.com#L12-L35","name":"Lake.BuildType","line":12,"kind":"inductive","docLink":"./Lake/Config/LeanConfig.html#Lake.BuildType","doc":"Lake equivalent of CMake's\n[`CMAKE_BUILD_TYPE`](https://stackoverflow.com/a/59314670).\n"},"Lake.BuildTrace.writeToFile":{"sourceLink":"https://example.com#L287-L288","name":"Lake.BuildTrace.writeToFile","line":287,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.writeToFile","doc":""},"Lake.BuildTrace.withoutMTime":{"sourceLink":"https://example.com#L230-L231","name":"Lake.BuildTrace.withoutMTime","line":230,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutMTime","doc":""},"Lake.BuildTrace.withoutHash":{"sourceLink":"https://example.com#L224-L225","name":"Lake.BuildTrace.withoutHash","line":224,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withoutHash","doc":""},"Lake.BuildTrace.withMTime":{"sourceLink":"https://example.com#L227-L228","name":"Lake.BuildTrace.withMTime","line":227,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withMTime","doc":""},"Lake.BuildTrace.withHash":{"sourceLink":"https://example.com#L221-L222","name":"Lake.BuildTrace.withHash","line":221,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.withHash","doc":""},"Lake.BuildTrace.nil":{"sourceLink":"https://example.com#L243-L244","name":"Lake.BuildTrace.nil","line":243,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.nil","doc":""},"Lake.BuildTrace.mtime":{"sourceLink":"https://example.com#L216-L216","name":"Lake.BuildTrace.mtime","line":216,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mtime","doc":""},"Lake.BuildTrace.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildTrace.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mk","doc":""},"Lake.BuildTrace.mix":{"sourceLink":"https://example.com#L253-L254","name":"Lake.BuildTrace.mix","line":253,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.mix","doc":""},"Lake.BuildTrace.instNilTraceBuildTrace":{"sourceLink":"https://example.com#L246-L246","name":"Lake.BuildTrace.instNilTraceBuildTrace","line":246,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instNilTraceBuildTrace","doc":""},"Lake.BuildTrace.instMixTraceBuildTrace":{"sourceLink":"https://example.com#L256-L256","name":"Lake.BuildTrace.instMixTraceBuildTrace","line":256,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instMixTraceBuildTrace","doc":""},"Lake.BuildTrace.instComputeTraceIOBuildTrace":{"sourceLink":"https://example.com#L251-L251","name":"Lake.BuildTrace.instComputeTraceIOBuildTrace","line":251,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instComputeTraceIOBuildTrace","doc":""},"Lake.BuildTrace.instCoeMTimeBuildTrace":{"sourceLink":"https://example.com#L241-L241","name":"Lake.BuildTrace.instCoeMTimeBuildTrace","line":241,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeMTimeBuildTrace","doc":""},"Lake.BuildTrace.instCoeHashBuildTrace":{"sourceLink":"https://example.com#L236-L236","name":"Lake.BuildTrace.instCoeHashBuildTrace","line":236,"kind":"instance","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.instCoeHashBuildTrace","doc":""},"Lake.BuildTrace.hash":{"sourceLink":"https://example.com#L215-L215","name":"Lake.BuildTrace.hash","line":215,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.hash","doc":""},"Lake.BuildTrace.fromMTime":{"sourceLink":"https://example.com#L238-L239","name":"Lake.BuildTrace.fromMTime","line":238,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromMTime","doc":""},"Lake.BuildTrace.fromHash":{"sourceLink":"https://example.com#L233-L234","name":"Lake.BuildTrace.fromHash","line":233,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.fromHash","doc":""},"Lake.BuildTrace.compute":{"sourceLink":"https://example.com#L248-L249","name":"Lake.BuildTrace.compute","line":248,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.compute","doc":""},"Lake.BuildTrace.checkAgainstTime":{"sourceLink":"https://example.com#L270-L272","name":"Lake.BuildTrace.checkAgainstTime","line":270,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstTime","doc":"Check the build trace against the given target info and its modification time\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstHash":{"sourceLink":"https://example.com#L262-L264","name":"Lake.BuildTrace.checkAgainstHash","line":262,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstHash","doc":"Check the build trace against the given target info and hash\nto see if the target is up-to-date.\n"},"Lake.BuildTrace.checkAgainstFile":{"sourceLink":"https://example.com#L278-L285","name":"Lake.BuildTrace.checkAgainstFile","line":278,"kind":"def","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace.checkAgainstFile","doc":"Check the build trace against the given target info and its trace file\nto see if the target is up-to-date.\n"},"Lake.BuildTrace":{"sourceLink":"https://example.com#L214-L217","name":"Lake.BuildTrace","line":214,"kind":"structure","docLink":"./Lake/Build/Trace.html#Lake.BuildTrace","doc":"Trace used for common Lake targets. Combines `Hash` and `MTime`. "},"Lake.BuildT":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildT","line":26,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildT","doc":"A transformer to equip a monad with a `BuildContext`. "},"Lake.BuildStoreT":{"sourceLink":"https://example.com#L35-L35","name":"Lake.BuildStoreT","line":35,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildStoreT","doc":"A transformer to equip a monad with a Lake build store. "},"Lake.BuildStore.empty":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildStore.empty","line":26,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.empty","doc":""},"Lake.BuildStore.collectTargetFacetArray":{"sourceLink":"https://example.com#L73-L83","name":"Lake.BuildStore.collectTargetFacetArray","line":73,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectTargetFacetArray","doc":"Derive an array of built target facets from the store. "},"Lake.BuildStore.collectSharedExternLibs":{"sourceLink":"https://example.com#L86-L88","name":"Lake.BuildStore.collectSharedExternLibs","line":86,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectSharedExternLibs","doc":"Derive an array of built external shared libraries from the store. "},"Lake.BuildStore.collectPackageFacetArray":{"sourceLink":"https://example.com#L60-L70","name":"Lake.BuildStore.collectPackageFacetArray","line":60,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectPackageFacetArray","doc":"Derive an array of built package facets from the store. "},"Lake.BuildStore.collectModuleFacetMap":{"sourceLink":"https://example.com#L47-L57","name":"Lake.BuildStore.collectModuleFacetMap","line":47,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetMap","doc":"Derive a map of module names to built facets from the store. "},"Lake.BuildStore.collectModuleFacetArray":{"sourceLink":"https://example.com#L34-L44","name":"Lake.BuildStore.collectModuleFacetArray","line":34,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore.collectModuleFacetArray","doc":"Derive an array of built module facets from the store. "},"Lake.BuildStore":{"sourceLink":"https://example.com#L23-L24","name":"Lake.BuildStore","line":23,"kind":"def","docLink":"./Lake/Build/Store.html#Lake.BuildStore","doc":"The type of the Lake build store. "},"Lake.BuildM.run":{"sourceLink":"https://example.com#L49-L50","name":"Lake.BuildM.run","line":49,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.run","doc":""},"Lake.BuildM.catchFailure":{"sourceLink":"https://example.com#L52-L53","name":"Lake.BuildM.catchFailure","line":52,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM.catchFailure","doc":""},"Lake.BuildM":{"sourceLink":"https://example.com#L32-L32","name":"Lake.BuildM","line":32,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildM","doc":"The core monad for Lake builds. "},"Lake.BuildKey.toString":{"sourceLink":"https://example.com#L20-L24","name":"Lake.BuildKey.toString","line":20,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.toString","doc":""},"Lake.BuildKey.targetFacet":{"sourceLink":"https://example.com#L14-L14","name":"Lake.BuildKey.targetFacet","line":14,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.targetFacet","doc":""},"Lake.BuildKey.quickCmp":{"sourceLink":"https://example.com#L28-L62","name":"Lake.BuildKey.quickCmp","line":28,"kind":"def","docLink":"./Lake/Build/Key.html#Lake.BuildKey.quickCmp","doc":""},"Lake.BuildKey.packageFacet":{"sourceLink":"https://example.com#L13-L13","name":"Lake.BuildKey.packageFacet","line":13,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.packageFacet","doc":""},"Lake.BuildKey.moduleFacet":{"sourceLink":"https://example.com#L12-L12","name":"Lake.BuildKey.moduleFacet","line":12,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.moduleFacet","doc":""},"Lake.BuildKey.instToStringBuildKey":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildKey.instToStringBuildKey","line":26,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instToStringBuildKey","doc":""},"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","line":102,"kind":"instance","docLink":"./Lake/Build/Key.html#Lake.BuildKey.instLawfulCmpEqBuildKeyQuickCmp","doc":""},"Lake.BuildKey.eq_of_quickCmp":{"sourceLink":"https://example.com#L64-L100","name":"Lake.BuildKey.eq_of_quickCmp","line":64,"kind":"theorem","docLink":"./Lake/Build/Key.html#Lake.BuildKey.eq_of_quickCmp","doc":""},"Lake.BuildKey.customTarget":{"sourceLink":"https://example.com#L15-L15","name":"Lake.BuildKey.customTarget","line":15,"kind":"ctor","docLink":"./Lake/Build/Key.html#Lake.BuildKey.customTarget","doc":""},"Lake.BuildKey":{"sourceLink":"https://example.com#L11-L16","name":"Lake.BuildKey","line":11,"kind":"inductive","docLink":"./Lake/Build/Key.html#Lake.BuildKey","doc":"The type of keys in the Lake build store. "},"Lake.BuildJob.toJob":{"sourceLink":"https://example.com#L54-L55","name":"Lake.BuildJob.toJob","line":54,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.toJob","doc":""},"Lake.BuildJob.seqWithAsync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BuildJob.seqWithAsync","line":102,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.seqWithAsync","doc":""},"Lake.BuildJob.pure":{"sourceLink":"https://example.com#L60-L61","name":"Lake.BuildJob.pure","line":60,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.pure","doc":""},"Lake.BuildJob.ofJob":{"sourceLink":"https://example.com#L51-L52","name":"Lake.BuildJob.ofJob","line":51,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.ofJob","doc":""},"Lake.BuildJob.nil":{"sourceLink":"https://example.com#L57-L58","name":"Lake.BuildJob.nil","line":57,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.nil","doc":""},"Lake.BuildJob.mk":{"sourceLink":"https://example.com#L48-L49","name":"Lake.BuildJob.mk","line":48,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mk","doc":""},"Lake.BuildJob.mixList":{"sourceLink":"https://example.com#L94-L96","name":"Lake.BuildJob.mixList","line":94,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixList","doc":""},"Lake.BuildJob.mixArray":{"sourceLink":"https://example.com#L98-L100","name":"Lake.BuildJob.mixArray","line":98,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mixArray","doc":""},"Lake.BuildJob.mix":{"sourceLink":"https://example.com#L91-L92","name":"Lake.BuildJob.mix","line":91,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mix","doc":""},"Lake.BuildJob.materialize":{"sourceLink":"https://example.com#L88-L89","name":"Lake.BuildJob.materialize","line":88,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.materialize","doc":""},"Lake.BuildJob.mapWithTrace":{"sourceLink":"https://example.com#L71-L72","name":"Lake.BuildJob.mapWithTrace","line":71,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.mapWithTrace","doc":""},"Lake.BuildJob.map":{"sourceLink":"https://example.com#L65-L66","name":"Lake.BuildJob.map","line":65,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.map","doc":""},"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob":{"sourceLink":"https://example.com#L106-L106","name":"Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","line":106,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instSeqWithAsyncBaseIOBuildJob","doc":""},"Lake.BuildJob.instPureBuildJob":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BuildJob.instPureBuildJob","line":63,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instPureBuildJob","doc":""},"Lake.BuildJob.instFunctorBuildJob":{"sourceLink":"https://example.com#L68-L69","name":"Lake.BuildJob.instFunctorBuildJob","line":68,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instFunctorBuildJob","doc":""},"Lake.BuildJob.instAwaitBuildJobResultM":{"sourceLink":"https://example.com#L86-L86","name":"Lake.BuildJob.instAwaitBuildJobResultM","line":86,"kind":"instance","docLink":"./Lake/Build/Job.html#Lake.BuildJob.instAwaitBuildJobResultM","doc":""},"Lake.BuildJob.collectList":{"sourceLink":"https://example.com#L108-L109","name":"Lake.BuildJob.collectList","line":108,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectList","doc":""},"Lake.BuildJob.collectArray":{"sourceLink":"https://example.com#L111-L112","name":"Lake.BuildJob.collectArray","line":111,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.collectArray","doc":""},"Lake.BuildJob.bindSync":{"sourceLink":"https://example.com#L74-L77","name":"Lake.BuildJob.bindSync","line":74,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindSync","doc":""},"Lake.BuildJob.bindAsync":{"sourceLink":"https://example.com#L79-L81","name":"Lake.BuildJob.bindAsync","line":79,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.bindAsync","doc":""},"Lake.BuildJob.await":{"sourceLink":"https://example.com#L83-L84","name":"Lake.BuildJob.await","line":83,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob.await","doc":""},"Lake.BuildJob":{"sourceLink":"https://example.com#L44-L44","name":"Lake.BuildJob","line":44,"kind":"def","docLink":"./Lake/Build/Job.html#Lake.BuildJob","doc":"A Lake build job. "},"Lake.BuildInfo.target":{"sourceLink":"https://example.com#L30-L30","name":"Lake.BuildInfo.target","line":30,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.target","doc":""},"Lake.BuildInfo.staticExternLib":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BuildInfo.staticExternLib","line":27,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.staticExternLib","doc":""},"Lake.BuildInfo.sharedExternLib":{"sourceLink":"https://example.com#L28-L28","name":"Lake.BuildInfo.sharedExternLib","line":28,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.sharedExternLib","doc":""},"Lake.BuildInfo.packageFacet":{"sourceLink":"https://example.com#L24-L24","name":"Lake.BuildInfo.packageFacet","line":24,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.packageFacet","doc":""},"Lake.BuildInfo.moduleFacet":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildInfo.moduleFacet","line":23,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.moduleFacet","doc":""},"Lake.BuildInfo.libraryFacet":{"sourceLink":"https://example.com#L25-L25","name":"Lake.BuildInfo.libraryFacet","line":25,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.libraryFacet","doc":""},"Lake.BuildInfo.leanExe":{"sourceLink":"https://example.com#L26-L26","name":"Lake.BuildInfo.leanExe","line":26,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.leanExe","doc":""},"Lake.BuildInfo.key":{"sourceLink":"https://example.com#L65-L73","name":"Lake.BuildInfo.key","line":65,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.key","doc":"The key that identifies the build in the Lake build store. "},"Lake.BuildInfo.fetch":{"sourceLink":"https://example.com#L128-L129","name":"Lake.BuildInfo.fetch","line":128,"kind":"def","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.fetch","doc":"Fetch the result associated with the info using the Lake build index. "},"Lake.BuildInfo.dynlibExternLib":{"sourceLink":"https://example.com#L29-L29","name":"Lake.BuildInfo.dynlibExternLib","line":29,"kind":"ctor","docLink":"./Lake/Build/Info.html#Lake.BuildInfo.dynlibExternLib","doc":""},"Lake.BuildInfo.build":{"sourceLink":"https://example.com#L96-L98","name":"Lake.BuildInfo.build","line":96,"kind":"def","docLink":"./Lake/Build/Index.html#Lake.BuildInfo.build","doc":"Build the given Lake target in a fresh build store. "},"Lake.BuildInfo":{"sourceLink":"https://example.com#L22-L30","name":"Lake.BuildInfo","line":22,"kind":"inductive","docLink":"./Lake/Build/Info.html#Lake.BuildInfo","doc":"The type of Lake's build info. "},"Lake.BuildData":{"sourceLink":"https://example.com#L80-L84","name":"Lake.BuildData","line":80,"kind":"def","docLink":"./Lake/Build/Data.html#Lake.BuildData","doc":"A mapping between a build key and its associated build data in the store.\nIt is a simple type function composed of the separate open type families for\nmodules facets, package facets, Lake target facets, and custom targets.\n"},"Lake.BuildCycleT":{"sourceLink":"https://example.com#L41-L41","name":"Lake.BuildCycleT","line":41,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycleT","doc":"A transformer for monads that may encounter a build cycle. "},"Lake.BuildCycle":{"sourceLink":"https://example.com#L38-L38","name":"Lake.BuildCycle","line":38,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildCycle","doc":"A Lake build cycle. "},"Lake.BuildContext.startedBuilds":{"sourceLink":"https://example.com#L22-L22","name":"Lake.BuildContext.startedBuilds","line":22,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.startedBuilds","doc":""},"Lake.BuildContext.oldMode":{"sourceLink":"https://example.com#L21-L21","name":"Lake.BuildContext.oldMode","line":21,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.oldMode","doc":""},"Lake.BuildContext.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BuildContext.mk","line":1,"kind":"ctor","docLink":"./Lake/Build/Context.html#Lake.BuildContext.mk","doc":""},"Lake.BuildContext.leanTrace":{"sourceLink":"https://example.com#L20-L20","name":"Lake.BuildContext.leanTrace","line":20,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.leanTrace","doc":""},"Lake.BuildContext.finishedBuilds":{"sourceLink":"https://example.com#L23-L23","name":"Lake.BuildContext.finishedBuilds","line":23,"kind":"def","docLink":"./Lake/Build/Context.html#Lake.BuildContext.finishedBuilds","doc":""},"Lake.BuildContext":{"sourceLink":"https://example.com#L19-L23","name":"Lake.BuildContext","line":19,"kind":"structure","docLink":"./Lake/Build/Context.html#Lake.BuildContext","doc":"A Lake context with some additional caching for builds. "},"Lake.BracketedBinder":{"sourceLink":"https://example.com#L42-L42","name":"Lake.BracketedBinder","line":42,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BracketedBinder","doc":""},"Lake.BinderSyntaxView.type":{"sourceLink":"https://example.com#L62-L62","name":"Lake.BinderSyntaxView.type","line":62,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.type","doc":""},"Lake.BinderSyntaxView.modifier?":{"sourceLink":"https://example.com#L64-L64","name":"Lake.BinderSyntaxView.modifier?","line":64,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.modifier?","doc":""},"Lake.BinderSyntaxView.mkBinder":{"sourceLink":"https://example.com#L141-L147","name":"Lake.BinderSyntaxView.mkBinder","line":141,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkBinder","doc":""},"Lake.BinderSyntaxView.mkArgument":{"sourceLink":"https://example.com#L149-L150","name":"Lake.BinderSyntaxView.mkArgument","line":149,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mkArgument","doc":""},"Lake.BinderSyntaxView.mk":{"sourceLink":"https://example.com#L1-L1","name":"Lake.BinderSyntaxView.mk","line":1,"kind":"ctor","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.mk","doc":""},"Lake.BinderSyntaxView.info":{"sourceLink":"https://example.com#L63-L63","name":"Lake.BinderSyntaxView.info","line":63,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.info","doc":""},"Lake.BinderSyntaxView.id":{"sourceLink":"https://example.com#L61-L61","name":"Lake.BinderSyntaxView.id","line":61,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView.id","doc":""},"Lake.BinderSyntaxView":{"sourceLink":"https://example.com#L60-L64","name":"Lake.BinderSyntaxView","line":60,"kind":"structure","docLink":"./Lake/Util/Binder.html#Lake.BinderSyntaxView","doc":""},"Lake.BinderModifier":{"sourceLink":"https://example.com#L55-L55","name":"Lake.BinderModifier","line":55,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderModifier","doc":""},"Lake.BinderIdent":{"sourceLink":"https://example.com#L27-L27","name":"Lake.BinderIdent","line":27,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.BinderIdent","doc":""},"Lake.Binder":{"sourceLink":"https://example.com#L51-L51","name":"Lake.Binder","line":51,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Binder","doc":""},"Lake.BindSync.mk":{"sourceLink":"https://example.com#L102-L102","name":"Lake.BindSync.mk","line":102,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindSync.mk","doc":""},"Lake.BindSync.bindSync":{"sourceLink":"https://example.com#L104-L104","name":"Lake.BindSync.bindSync","line":104,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindSync.bindSync","doc":"Perform a synchronous action after another (a)synchronous task completes successfully. "},"Lake.BindSync":{"sourceLink":"https://example.com#L102-L104","name":"Lake.BindSync","line":102,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindSync","doc":""},"Lake.BindAsync.mk":{"sourceLink":"https://example.com#L108-L108","name":"Lake.BindAsync.mk","line":108,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.BindAsync.mk","doc":""},"Lake.BindAsync.bindAsync":{"sourceLink":"https://example.com#L110-L110","name":"Lake.BindAsync.bindAsync","line":110,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.BindAsync.bindAsync","doc":"Perform a asynchronous task after another (a)synchronous task completes successfully. "},"Lake.BindAsync":{"sourceLink":"https://example.com#L108-L110","name":"Lake.BindAsync","line":108,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.BindAsync","doc":""},"Lake.BaseIOTask":{"sourceLink":"https://example.com#L16-L16","name":"Lake.BaseIOTask","line":16,"kind":"def","docLink":"./Lake/Util/Task.html#Lake.BaseIOTask","doc":""},"Lake.Await.mk":{"sourceLink":"https://example.com#L40-L40","name":"Lake.Await.mk","line":40,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Await.mk","doc":""},"Lake.Await.await":{"sourceLink":"https://example.com#L42-L42","name":"Lake.Await.await","line":42,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Await.await","doc":"Wait for an (a)synchronous task to finish. "},"Lake.Await":{"sourceLink":"https://example.com#L40-L42","name":"Lake.Await","line":40,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Await","doc":""},"Lake.Async.mk":{"sourceLink":"https://example.com#L34-L34","name":"Lake.Async.mk","line":34,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.Async.mk","doc":""},"Lake.Async.async":{"sourceLink":"https://example.com#L36-L36","name":"Lake.Async.async","line":36,"kind":"def","docLink":"./Lake/Util/Async.html#Lake.Async.async","doc":"Run the monadic action as an asynchronous task. "},"Lake.Async":{"sourceLink":"https://example.com#L34-L36","name":"Lake.Async","line":34,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.Async","doc":""},"Lake.Argument":{"sourceLink":"https://example.com#L15-L15","name":"Lake.Argument","line":15,"kind":"def","docLink":"./Lake/Util/Binder.html#Lake.Argument","doc":""},"Lake.ApplicativeAsync.mk":{"sourceLink":"https://example.com#L138-L138","name":"Lake.ApplicativeAsync.mk","line":138,"kind":"ctor","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync.mk","doc":""},"Lake.ApplicativeAsync":{"sourceLink":"https://example.com#L138-L142","name":"Lake.ApplicativeAsync","line":138,"kind":"class","docLink":"./Lake/Util/Async.html#Lake.ApplicativeAsync","doc":""},"LT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1078-L1078","name":"LT.mk","line":1078,"kind":"ctor","docLink":"./Init/Prelude.html#LT.mk","doc":""},"LT.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1080-L1080","name":"LT.lt","line":1080,"kind":"def","docLink":"./Init/Prelude.html#LT.lt","doc":"The less-than relation: `x < y` "},"LT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1078-L1080","name":"LT","line":1078,"kind":"class","docLink":"./Init/Prelude.html#LT","doc":"`LT α` is the typeclass which supports the notation `x < y` where `x y : α`."},"LE.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1073-L1073","name":"LE.mk","line":1073,"kind":"ctor","docLink":"./Init/Prelude.html#LE.mk","doc":""},"LE.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1075-L1075","name":"LE.le","line":1075,"kind":"def","docLink":"./Init/Prelude.html#LE.le","doc":"The less-equal relation: `x ≤ y` "},"LE":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1073-L1075","name":"LE","line":1073,"kind":"class","docLink":"./Init/Prelude.html#LE","doc":"`LE α` is the typeclass which supports the notation `x ≤ y` where `x y : α`."},"InvImage.wf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L123-L124","name":"InvImage.wf","line":123,"kind":"def","docLink":"./Init/WF.html#InvImage.wf","doc":""},"InvImage.accessible":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L120-L121","name":"InvImage.accessible","line":120,"kind":"def","docLink":"./Init/WF.html#InvImage.accessible","doc":""},"InvImage":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L938-L939","name":"InvImage","line":938,"kind":"def","docLink":"./Init/Core.html#InvImage","doc":"The inverse image of `r : β → β → Prop` by a function `α → β` is the relation\n`s : α → α → Prop` defined by `s a b = r (f a) (f b)`.\n"},"Int.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L333-L335","name":"Int.toNat","line":333,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.toNat","doc":"Turns an integer into a natural number, negative numbers become\n`0`.\n\n```\n#eval (7 : Int).toNat -- 7\n#eval (0 : Int).toNat -- 0\n#eval (-7 : Int).toNat -- 0\n```\n"},"Int.subNatNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L86-L89","name":"Int.subNatNat","line":86,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.subNatNat","doc":"Subtraction of two natural numbers. "},"Int.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L142-L143","name":"Int.sub","line":142,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.sub","doc":"Subtraction of two integers.\n\n```\n#eval (63 : Int) - (6 : Int) -- 57\n#eval (7 : Int) - (0 : Int) -- 7\n#eval (0 : Int) - (7 : Int) -- -7\n```\n\nImplemented by efficient native code. "},"Int.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L170-L172","name":"Int.repr","line":170,"kind":"def","docLink":"./Init/Data/Repr.html#Int.repr","doc":""},"Int.rem_sign_dividend":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L341-L342","name":"Int.rem_sign_dividend","line":341,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem_sign_dividend","doc":""},"Int.rem":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L337-L338","name":"Int.rem","line":337,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Int.rem","doc":""},"Int.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L346-L348","name":"Int.pow","line":346,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.pow","doc":"Power of an integer to some natural number.\n\n```\n#eval (2 : Int) ^ 4 -- 16\n#eval (10 : Int) ^ 0 -- 1\n#eval (0 : Int) ^ 10 -- 0\n#eval (-7 : Int) ^ 3 -- -343\n```\n"},"Int.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L41-L42","name":"Int.ofNat","line":41,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.ofNat","doc":"A natural number is an integer (`0` to `∞`). "},"Int.negSucc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L43-L45","name":"Int.negSucc","line":43,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.negSucc","doc":"The negation of the successor of a natural number is an integer\n(`-1` to `-∞`). "},"Int.negOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L59-L61","name":"Int.negOfNat","line":59,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.negOfNat","doc":"Negation of a natural number. "},"Int.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L68-L71","name":"Int.neg","line":68,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.neg","doc":"Negation of an integer.\n\nImplemented by efficient native code. "},"Int.natAbs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L242-L245","name":"Int.natAbs","line":242,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.natAbs","doc":"Absolute value (`Nat`) of an integer.\n\n```\n#eval (7 : Int).natAbs -- 7\n#eval (0 : Int).natAbs -- 0\n#eval (-11 : Int).natAbs -- 11\n```\n\nImplemented by efficient native code. "},"Int.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L122-L127","name":"Int.mul","line":122,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mul","doc":"Multiplication of two integers.\n\n```\n#eval (63 : Int) * (6 : Int) -- 378\n#eval (6 : Int) * (-6 : Int) -- -36\n#eval (7 : Int) * (0 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L315-L319","name":"Int.mod","line":315,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.mod","doc":"Integer modulo. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention\nto pair with `Int.div`, meaning that `a % b + b * (a / b) = a`\nunconditionally (see [`Int.mod_add_div`][theo mod_add_div]). In\nparticular, `a % 0 = a`.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) % (0 : Int) -- 7\n#eval (0 : Int) % (7 : Int) -- 0\n\n#eval (12 : Int) % (6 : Int) -- 0\n#eval (12 : Int) % (-6 : Int) -- 0\n#eval (-12 : Int) % (6 : Int) -- 0\n#eval (-12 : Int) % (-6 : Int) -- 0\n\n#eval (12 : Int) % (7 : Int) -- 5\n#eval (12 : Int) % (-7 : Int) -- 5\n#eval (-12 : Int) % (7 : Int) -- 2\n#eval (-12 : Int) % (-7 : Int) -- 2\n```\n\nImplemented by efficient native code. "},"Int.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L160-L160","name":"Int.lt","line":160,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.lt","doc":"Definition of `a < b`, encoded as `a + 1 ≤ b`. "},"Int.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L154-L154","name":"Int.le","line":154,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.le","doc":"Definition of `a ≤ b`, encoded as `b - a ≥ 0`. "},"Int.instSubInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L145-L146","name":"Int.instSubInt","line":145,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instSubInt","doc":""},"Int.instNegInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L82-L83","name":"Int.instNegInt","line":82,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instNegInt","doc":""},"Int.instMulInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L129-L130","name":"Int.instMulInt","line":129,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMulInt","doc":""},"Int.instModInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L321-L322","name":"Int.instModInt","line":321,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instModInt","doc":""},"Int.instMinInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L357-L357","name":"Int.instMinInt","line":357,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMinInt","doc":""},"Int.instMaxInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L359-L359","name":"Int.instMaxInt","line":359,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instMaxInt","doc":""},"Int.instLawfulBEqIntInstBEqInstDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L353-L355","name":"Int.instLawfulBEqIntInstBEqInstDecidableEqInt","line":353,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLawfulBEqIntInstBEqInstDecidableEqInt","doc":""},"Int.instLTInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L162-L163","name":"Int.instLTInt","line":162,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLTInt","doc":""},"Int.instLEInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L156-L157","name":"Int.instLEInt","line":156,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instLEInt","doc":""},"Int.instInhabitedInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L56-L56","name":"Int.instInhabitedInt","line":56,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instInhabitedInt","doc":""},"Int.instHPowIntNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L350-L351","name":"Int.instHPowIntNat","line":350,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instHPowIntNat","doc":""},"Int.instDivInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L284-L285","name":"Int.instDivInt","line":284,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDivInt","doc":""},"Int.instDecidableEqInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L187-L187","name":"Int.instDecidableEqInt","line":187,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instDecidableEqInt","doc":""},"Int.instAddInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L108-L109","name":"Int.instAddInt","line":108,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.instAddInt","doc":""},"Int.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L278-L282","name":"Int.div","line":278,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.div","doc":"Integer division. This function uses the\n[*\"T-rounding\"*][t-rounding] (**T**runcation-rounding) convention,\nmeaning that it rounds toward zero. Also note that division by zero\nis defined to equal zero.\n\nThe relation between integer division and modulo is found in [the\n`Int.mod_add_div` theorem in std][theo mod_add_div] which states\nthat `a % b + b * (a / b) = a`, unconditionally.\n\n[t-rounding]: https://dl.acm.org/doi/pdf/10.1145/128861.128862\n[theo mod_add_div]: https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Int.mod_add_div#doc\n\nExamples:\n\n```\n#eval (7 : Int) / (0 : Int) -- 0\n#eval (0 : Int) / (7 : Int) -- 0\n\n#eval (12 : Int) / (6 : Int) -- 2\n#eval (12 : Int) / (-6 : Int) -- -2\n#eval (-12 : Int) / (6 : Int) -- -2\n#eval (-12 : Int) / (-6 : Int) -- 2\n\n#eval (12 : Int) / (7 : Int) -- 1\n#eval (12 : Int) / (-7 : Int) -- -1\n#eval (-12 : Int) / (7 : Int) -- -1\n#eval (-12 : Int) / (-7 : Int) -- 1\n```\n\nImplemented by efficient native code. "},"Int.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L228-L229","name":"Int.decLt","line":228,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLt","doc":"Decides whether `a < b`.\n\n```\n#eval `¬ ( (7 : Int) < 0 )` -- true\n#eval `¬ ( (0 : Int) < 0 )` -- true\n#eval `(7 : Int) < 10` -- true\n```\n\nImplemented by efficient native code. "},"Int.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L215-L216","name":"Int.decLe","line":215,"kind":"instance","docLink":"./Init/Data/Int/Basic.html#Int.decLe","doc":"Decides whether `a ≤ b`.\n\n```\n#eval ¬ ( (7 : Int) ≤ (0 : Int) ) -- true\n#eval (0 : Int) ≤ (0 : Int) -- true\n#eval (7 : Int) ≤ (10 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L176-L185","name":"Int.decEq","line":176,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.decEq","doc":"Decides equality between two `Int`s.\n\n```\n#eval (7 : Int) = (3 : Int) + (4 : Int) -- true\n#eval (6 : Int) = (3 : Int) * (2 : Int) -- true\n#eval ¬ (6 : Int) = (3 : Int) -- true\n```\n\nImplemented by efficient native code. "},"Int.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L101-L106","name":"Int.add","line":101,"kind":"def","docLink":"./Init/Data/Int/Basic.html#Int.add","doc":"Addition of two integers.\n\n```\n#eval (7 : Int) + (6 : Int) -- 13\n#eval (6 : Int) + (-6 : Int) -- 0\n```\n\nImplemented by efficient native code. "},"Int.NonNeg.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L150-L151","name":"Int.NonNeg.mk","line":150,"kind":"ctor","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg.mk","doc":"Sole constructor, proving that `ofNat n` is positive. "},"Int.NonNeg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L149-L151","name":"Int.NonNeg","line":149,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int.NonNeg","doc":"A proof that an `Int` is non-negative. "},"Int":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Int/Basic.lean#L40-L45","name":"Int","line":40,"kind":"inductive","docLink":"./Init/Data/Int/Basic.html#Int","doc":"The type of integers. It is defined as an inductive type based on the\nnatural number type `Nat` featuring two constructors: \"a natural\nnumber is an integer\", and \"the negation of a successor of a natural\nnumber is an integer\". The former represents integers between `0`\n(inclusive) and `∞`, and the latter integers between `-∞` and `-1`\n(inclusive).\n\nThis type is special-cased by the compiler. The runtime has a special\nrepresentation for `Int` which stores \"small\" signed numbers directly,\nand larger numbers use an arbitrary precision \"bignum\" library\n(usually [GMP](https://gmplib.org/)). 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No sign interpretation is necessary or performed.\nugt: interprets the operands as unsigned values and yields true if op1 is greater than op2.\nuge: interprets the operands as unsigned values and yields true if op1 is greater than or equal to op2.\nult: interprets the operands as unsigned values and yields true if op1 is less than op2.\nule: interprets the operands as unsigned values and yields true if op1 is less than or equal to op2.\nsgt: interprets the operands as signed values and yields true if op1 is greater than op2.\nsge: interprets the operands as signed values and yields true if op1 is greater than or equal to op2.\nslt: interprets the operands as signed values and yields true if op1 is less than op2.\nsle: interprets the operands as signed values and yields true if op1 is less than or equal to op2.\n"},"InstCombine.Bitvec.width":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L18-L18","name":"InstCombine.Bitvec.width","line":18,"kind":"def","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.Bitvec.width","doc":""},"InstCombine.BaseType.bitvec":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L8-L8","name":"InstCombine.BaseType.bitvec","line":8,"kind":"ctor","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType.bitvec","doc":""},"InstCombine.BaseType":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/Base.lean#L7-L9","name":"InstCombine.BaseType","line":7,"kind":"inductive","docLink":"./SSA/Projects/InstCombine/Base.html#InstCombine.BaseType","doc":""},"Inhabited.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L670-L670","name":"Inhabited.mk","line":670,"kind":"ctor","docLink":"./Init/Prelude.html#Inhabited.mk","doc":""},"Inhabited.default":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L674-L674","name":"Inhabited.default","line":674,"kind":"def","docLink":"./Init/Prelude.html#Inhabited.default","doc":"`default` is a function that produces a \"default\" element of any\n`Inhabited` type. This element does not have any particular specified\nproperties, but it is often an all-zeroes value. "},"Inhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L670-L674","name":"Inhabited","line":670,"kind":"class","docLink":"./Init/Prelude.html#Inhabited","doc":"`Inhabited α` is a typeclass that says that `α` has a designated element,\ncalled `(default : α)`. This is sometimes referred to as a \"pointed type\".\n\nThis class is used by functions that need to return a value of the type\nwhen called \"out of domain\". For example, `Array.get! arr i : α` returns\na value of type `α` when `arr : Array α`, but if `i` is not in range of\nthe array, it reports a panic message, but this does not halt the program,\nso it must still return a value of type `α` (and in fact this is required\nfor logical consistency), so in this case it returns `default`.\n"},"Index":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L13-L13","name":"Index","line":13,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#Index","doc":"Type of tensor dimensions and indexes into tensor dimensions.\nNOTE: see interaction with `linarith` where we need to unfold `Index` into `ℕ`\n https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Ergonomics.3A.20linarith.20does.20not.20work.20on.20Nat.20alias/near/365631549\n"},"Iff.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L666-L669","name":"Iff.trans","line":666,"kind":"theorem","docLink":"./Init/Core.html#Iff.trans","doc":""},"Iff.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L671-L672","name":"Iff.symm","line":671,"kind":"theorem","docLink":"./Init/Core.html#Iff.symm","doc":""},"Iff.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1175-L1176","name":"Iff.subst","line":1175,"kind":"theorem","docLink":"./Init/Core.html#Iff.subst","doc":"Iff can now be used to do substitutions in a calculation "},"Iff.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L663-L664","name":"Iff.rfl","line":663,"kind":"theorem","docLink":"./Init/Core.html#Iff.rfl","doc":""},"Iff.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L660-L661","name":"Iff.refl","line":660,"kind":"theorem","docLink":"./Init/Core.html#Iff.refl","doc":""},"Iff.of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L677-L678","name":"Iff.of_eq","line":677,"kind":"theorem","docLink":"./Init/Core.html#Iff.of_eq","doc":""},"Iff.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L92-L92","name":"Iff.mpr","line":92,"kind":"def","docLink":"./Init/Core.html#Iff.mpr","doc":"Modus ponens for if and only if, reversed. If `a ↔ b` and `b`, then `a`. "},"Iff.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L90-L90","name":"Iff.mp","line":90,"kind":"def","docLink":"./Init/Core.html#Iff.mp","doc":"Modus ponens for if and only if. If `a ↔ b` and `a`, then `b`. "},"Iff.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L88-L88","name":"Iff.intro","line":88,"kind":"ctor","docLink":"./Init/Core.html#Iff.intro","doc":"If `a → b` and `b → a` then `a` and `b` are equivalent. "},"Iff.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L674-L675","name":"Iff.comm","line":674,"kind":"theorem","docLink":"./Init/Core.html#Iff.comm","doc":""},"Iff":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L86-L92","name":"Iff","line":86,"kind":"structure","docLink":"./Init/Core.html#Iff","doc":"If and only if, or logical bi-implication. `a ↔ b` means that `a` implies `b` and vice versa.\nBy `propext`, this implies that `a` and `b` are equal and hence any expression involving `a`\nis equivalent to the corresponding expression with `b` instead.\n"},"Id.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L27-L27","name":"Id.run","line":27,"kind":"def","docLink":"./Init/Control/Id.html#Id.run","doc":""},"Id.pure_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L93-L93","name":"Id.pure_eq","line":93,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.pure_eq","doc":""},"Id.map_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L91-L91","name":"Id.map_eq","line":91,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.map_eq","doc":""},"Id.instOfNatId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L29-L30","name":"Id.instOfNatId","line":29,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instOfNatId","doc":""},"Id.instMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L18-L21","name":"Id.instMonadId","line":18,"kind":"instance","docLink":"./Init/Control/Id.html#Id.instMonadId","doc":""},"Id.instLawfulMonadIdInstMonadId":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L95-L96","name":"Id.instLawfulMonadIdInstMonadId","line":95,"kind":"instance","docLink":"./Init/Control/Lawful.html#Id.instLawfulMonadIdInstMonadId","doc":""},"Id.hasBind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L23-L24","name":"Id.hasBind","line":23,"kind":"def","docLink":"./Init/Control/Id.html#Id.hasBind","doc":""},"Id.finally":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L191-L195","name":"Id.finally","line":191,"kind":"instance","docLink":"./Init/Control/Except.html#Id.finally","doc":""},"Id.bind_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L92-L92","name":"Id.bind_eq","line":92,"kind":"theorem","docLink":"./Init/Control/Lawful.html#Id.bind_eq","doc":""},"Id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Id.lean#L13-L13","name":"Id","line":13,"kind":"def","docLink":"./Init/Control/Id.html#Id","doc":""},"IO.withStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L513-L518","name":"IO.withStdout","line":513,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdout","doc":""},"IO.withStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L509-L511","name":"IO.withStdin","line":509,"kind":"def","docLink":"./Init/System/IO.html#IO.withStdin","doc":""},"IO.withStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L520-L522","name":"IO.withStderr","line":520,"kind":"def","docLink":"./Init/System/IO.html#IO.withStderr","doc":""},"IO.waitAny":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L215-L217","name":"IO.waitAny","line":215,"kind":"opaque","docLink":"./Init/System/IO.html#IO.waitAny","doc":"Wait until any of the tasks in the given list has finished, then return its result. "},"IO.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L208-L209","name":"IO.wait","line":208,"kind":"opaque","docLink":"./Init/System/IO.html#IO.wait","doc":"Wait for the task to finish, then return its result. "},"IO.userError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IOError.lean#L57-L58","name":"IO.userError","line":57,"kind":"def","docLink":"./Init/System/IOError.html#IO.userError","doc":""},"IO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L77-L78","name":"IO.toEIO","line":77,"kind":"def","docLink":"./Init/System/IO.html#IO.toEIO","doc":""},"IO.throwServerError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Utils.lean#L15-L16","name":"IO.throwServerError","line":15,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.throwServerError","doc":""},"IO.stdGenRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L115-L117","name":"IO.stdGenRef","line":115,"kind":"opaque","docLink":"./Init/Data/Random.html#IO.stdGenRef","doc":""},"IO.sleep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L178-L180","name":"IO.sleep","line":178,"kind":"def","docLink":"./Init/System/IO.html#IO.sleep","doc":""},"IO.setStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L316-L316","name":"IO.setStdout","line":316,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdout","doc":"Replaces the stdout stream of the current thread and returns its previous value. "},"IO.setStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L314-L314","name":"IO.setStdin","line":314,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStdin","doc":"Replaces the stdin stream of the current thread and returns its previous value. "},"IO.setStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L318-L318","name":"IO.setStderr","line":318,"kind":"opaque","docLink":"./Init/System/IO.html#IO.setStderr","doc":"Replaces the stderr stream of the current thread and returns its previous value. "},"IO.setRandSeed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L119-L120","name":"IO.setRandSeed","line":119,"kind":"def","docLink":"./Init/Data/Random.html#IO.setRandSeed","doc":""},"IO.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L685-L686","name":"IO.setAccessRights","line":685,"kind":"def","docLink":"./Init/System/IO.html#IO.setAccessRights","doc":""},"IO.rand":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Random.lean#L122-L126","name":"IO.rand","line":122,"kind":"def","docLink":"./Init/Data/Random.html#IO.rand","doc":""},"IO.println":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L528-L529","name":"IO.println","line":528,"kind":"def","docLink":"./Init/System/IO.html#IO.println","doc":""},"IO.print":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L524-L526","name":"IO.print","line":524,"kind":"def","docLink":"./Init/System/IO.html#IO.print","doc":""},"IO.ofExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L160-L163","name":"IO.ofExcept","line":160,"kind":"def","docLink":"./Init/System/IO.html#IO.ofExcept","doc":""},"IO.monoNanosNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L172-L172","name":"IO.monoNanosNow","line":172,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoNanosNow","doc":"Monotonically increasing time since an unspecified past point in nanoseconds. No relation to wall clock time. "},"IO.monoMsNow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L169-L169","name":"IO.monoMsNow","line":169,"kind":"opaque","docLink":"./Init/System/IO.html#IO.monoMsNow","doc":"Monotonically increasing time since an unspecified past point in milliseconds. No relation to wall clock time. "},"IO.mkRef":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L693-L694","name":"IO.mkRef","line":693,"kind":"def","docLink":"./Init/System/IO.html#IO.mkRef","doc":""},"IO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L195-L196","name":"IO.mapTasks","line":195,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTasks","doc":"`IO` specialization of `EIO.mapTasks`. "},"IO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L187-L188","name":"IO.mapTask","line":187,"kind":"def","docLink":"./Init/System/IO.html#IO.mapTask","doc":"`IO` specialization of `EIO.mapTask`. "},"IO.lazyPure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L165-L166","name":"IO.lazyPure","line":165,"kind":"def","docLink":"./Init/System/IO.html#IO.lazyPure","doc":""},"IO.iterate":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L320-L324","name":"IO.iterate","line":320,"kind":"opaque","docLink":"./Init/System/IO.html#IO.iterate","doc":""},"IO.instNonemptyPromise":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L31-L32","name":"IO.instNonemptyPromise","line":31,"kind":"instance","docLink":"./Init/System/Promise.html#IO.instNonemptyPromise","doc":""},"IO.instNonemptyMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L84-L84","name":"IO.instNonemptyMutex","line":84,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyMutex","doc":""},"IO.instNonemptyCondvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L50-L50","name":"IO.instNonemptyCondvar","line":50,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyCondvar","doc":""},"IO.instNonemptyChannel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L32-L33","name":"IO.instNonemptyChannel","line":32,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instNonemptyChannel","doc":""},"IO.instNonemptyBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L21-L21","name":"IO.instNonemptyBaseMutex","line":21,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instNonemptyBaseMutex","doc":""},"IO.instMonadLiftSTRealWorldBaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L691-L691","name":"IO.instMonadLiftSTRealWorldBaseIO","line":691,"kind":"instance","docLink":"./Init/System/IO.html#IO.instMonadLiftSTRealWorldBaseIO","doc":""},"IO.instInhabitedError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IOError.lean#L54-L54","name":"IO.instInhabitedError","line":54,"kind":"instance","docLink":"./Init/System/IOError.html#IO.instInhabitedError","doc":""},"IO.instForInSync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L134-L135","name":"IO.instForInSync","line":134,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.instForInSync","doc":"`for msg in ch.sync do ...` receives all messages in the channel until it is closed. "},"IO.instCoeOutMutexBaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L86-L86","name":"IO.instCoeOutMutexBaseMutex","line":86,"kind":"instance","docLink":"./Init/System/Mutex.html#IO.instCoeOutMutexBaseMutex","doc":""},"IO.initializing":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L102-L102","name":"IO.initializing","line":102,"kind":"opaque","docLink":"./Init/System/IO.html#IO.initializing","doc":"Programs can execute IO actions during initialization that occurs before\nthe `main` function is executed. The attribute `[init ]` specifies\nwhich IO action is executed to set the value of an opaque constant.\n\nThe action `initializing` returns `true` iff it is invoked during initialization. "},"IO.hasFinished":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L205-L205","name":"IO.hasFinished","line":205,"kind":"opaque","docLink":"./Init/System/IO.html#IO.hasFinished","doc":"Check if the task has finished execution, at which point calling `Task.get` will return immediately. "},"IO.getStdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L310-L310","name":"IO.getStdout","line":310,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdout","doc":""},"IO.getStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L309-L309","name":"IO.getStdin","line":309,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStdin","doc":""},"IO.getStderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L311-L311","name":"IO.getStderr","line":311,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getStderr","doc":""},"IO.getRandomBytes":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L176-L176","name":"IO.getRandomBytes","line":176,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getRandomBytes","doc":"Read bytes from a system entropy source. Not guaranteed to be cryptographically secure.\nIf `nBytes = 0`, return immediately with an empty buffer. "},"IO.getNumHeartbeats":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L220-L220","name":"IO.getNumHeartbeats","line":220,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getNumHeartbeats","doc":"Helper method for implementing \"deterministic\" timeouts. It is the number of \"small\" memory allocations performed by the current execution thread. "},"IO.getEnv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L366-L366","name":"IO.getEnv","line":366,"kind":"opaque","docLink":"./Init/System/IO.html#IO.getEnv","doc":""},"IO.eprintln":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L535-L536","name":"IO.eprintln","line":535,"kind":"def","docLink":"./Init/System/IO.html#IO.eprintln","doc":""},"IO.eprint":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L531-L533","name":"IO.eprint","line":531,"kind":"def","docLink":"./Init/System/IO.html#IO.eprint","doc":""},"IO.currentDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L368-L368","name":"IO.currentDir","line":368,"kind":"opaque","docLink":"./Init/System/IO.html#IO.currentDir","doc":""},"IO.checkCanceled":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L199-L199","name":"IO.checkCanceled","line":199,"kind":"opaque","docLink":"./Init/System/IO.html#IO.checkCanceled","doc":"Check if the task's cancellation flag has been set by calling `IO.cancel` or dropping the last reference to the task. "},"IO.cancel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L202-L202","name":"IO.cancel","line":202,"kind":"opaque","docLink":"./Init/System/IO.html#IO.cancel","doc":"Request cooperative cancellation of the task. The task must explicitly call `IO.checkCanceled` to react to the cancellation. "},"IO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L191-L192","name":"IO.bindTask","line":191,"kind":"def","docLink":"./Init/System/IO.html#IO.bindTask","doc":"`IO` specialization of `EIO.bindTask`. "},"IO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L183-L184","name":"IO.asTask","line":183,"kind":"def","docLink":"./Init/System/IO.html#IO.asTask","doc":"`IO` specialization of `EIO.asTask`. "},"IO.appPath":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L367-L367","name":"IO.appPath","line":367,"kind":"opaque","docLink":"./Init/System/IO.html#IO.appPath","doc":""},"IO.appDir":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L546-L550","name":"IO.appDir","line":546,"kind":"def","docLink":"./Init/System/IO.html#IO.appDir","doc":""},"IO.Ref":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L689-L689","name":"IO.Ref","line":689,"kind":"def","docLink":"./Init/System/IO.html#IO.Ref","doc":"References "},"IO.RealWorld":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L23-L23","name":"IO.RealWorld","line":23,"kind":"def","docLink":"./Init/System/IO.html#IO.RealWorld","doc":"Like .\nMakes sure we never reorder `IO` operations.\n\nTODO: mark opaque "},"IO.Promise.result":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L55-L57","name":"IO.Promise.result","line":55,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.result","doc":"The result task of a `Promise`.\n\nThe task blocks until `Promise.resolve` is called.\n"},"IO.Promise.resolve":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L44-L44","name":"IO.Promise.resolve","line":44,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.resolve","doc":"Resolves a `Promise`.\n\nOnly the first call to this function has an effect.\n"},"IO.Promise.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L36-L36","name":"IO.Promise.new","line":36,"kind":"opaque","docLink":"./Init/System/Promise.html#IO.Promise.new","doc":"Creates a new `Promise`. "},"IO.Promise":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Promise.lean#L29-L29","name":"IO.Promise","line":29,"kind":"def","docLink":"./Init/System/Promise.html#IO.Promise","doc":"`Promise α` allows you to create a `Task α` whose value is provided later by calling `resolve`.\n\nTypical usage is as follows:\n1. `let promise ← Promise.new` creates a promise\n2. `promise.result : Task α` can now be passed around\n3. `promise.result.get` blocks until the promise is resolved\n4. `promise.resolve a` resolves the promise\n5. `promise.result.get` now returns `a`\n\nEvery promise must eventually be resolved.\nOtherwise the memory used for the promise will be leaked,\nand any tasks depending on the promise's result will wait forever.\n"},"IO.Process.spawn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L619-L619","name":"IO.Process.spawn","line":619,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.spawn","doc":""},"IO.Process.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L651-L655","name":"IO.Process.run","line":651,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.run","doc":"Run process to completion and return stdout on success. "},"IO.Process.output":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L642-L648","name":"IO.Process.output","line":642,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.output","doc":"Run process to completion and capture output. "},"IO.Process.getPID":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L581-L581","name":"IO.Process.getPID","line":581,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.getPID","doc":"Returns the process ID of the current process. "},"IO.Process.exit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L657-L657","name":"IO.Process.exit","line":657,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.exit","doc":""},"IO.Process.StdioConfig.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L597-L597","name":"IO.Process.StdioConfig.stdout","line":597,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdout","doc":"Configuration for the process' stdout handle. "},"IO.Process.StdioConfig.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L595-L595","name":"IO.Process.StdioConfig.stdin","line":595,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stdin","doc":"Configuration for the process' stdin handle. "},"IO.Process.StdioConfig.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L599-L599","name":"IO.Process.StdioConfig.stderr","line":599,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.stderr","doc":"Configuration for the process' stderr handle. "},"IO.Process.StdioConfig.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.Process.StdioConfig.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.StdioConfig.mk","doc":""},"IO.Process.StdioConfig":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L593-L599","name":"IO.Process.StdioConfig","line":593,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.StdioConfig","doc":""},"IO.Process.Stdio.toHandleType":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L588-L591","name":"IO.Process.Stdio.toHandleType","line":588,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Stdio.toHandleType","doc":""},"IO.Process.Stdio.piped":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L584-L584","name":"IO.Process.Stdio.piped","line":584,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.piped","doc":""},"IO.Process.Stdio.null":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L586-L586","name":"IO.Process.Stdio.null","line":586,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.null","doc":""},"IO.Process.Stdio.inherit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L585-L585","name":"IO.Process.Stdio.inherit","line":585,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Stdio.inherit","doc":""},"IO.Process.Stdio":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L583-L586","name":"IO.Process.Stdio","line":583,"kind":"inductive","docLink":"./Init/System/IO.html#IO.Process.Stdio","doc":""},"IO.Process.SpawnArgs.setsid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L611-L611","name":"IO.Process.SpawnArgs.setsid","line":611,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.setsid","doc":"Start process in new session and process group using `setsid`. Currently a no-op on non-POSIX platforms. "},"IO.Process.SpawnArgs.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.Process.SpawnArgs.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.mk","doc":""},"IO.Process.SpawnArgs.env":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L609-L609","name":"IO.Process.SpawnArgs.env","line":609,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.env","doc":"Add or remove environment variables for the process. "},"IO.Process.SpawnArgs.cwd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L607-L607","name":"IO.Process.SpawnArgs.cwd","line":607,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cwd","doc":"Working directory for the process. Inherit from current process if `none`. "},"IO.Process.SpawnArgs.cmd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L603-L603","name":"IO.Process.SpawnArgs.cmd","line":603,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.cmd","doc":"Command name. "},"IO.Process.SpawnArgs.args":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L605-L605","name":"IO.Process.SpawnArgs.args","line":605,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs.args","doc":"Arguments for the process "},"IO.Process.SpawnArgs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L601-L611","name":"IO.Process.SpawnArgs","line":601,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.SpawnArgs","doc":""},"IO.Process.Output.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L638-L638","name":"IO.Process.Output.stdout","line":638,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stdout","doc":""},"IO.Process.Output.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L639-L639","name":"IO.Process.Output.stderr","line":639,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.stderr","doc":""},"IO.Process.Output.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.Process.Output.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Output.mk","doc":""},"IO.Process.Output.exitCode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L637-L637","name":"IO.Process.Output.exitCode","line":637,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Output.exitCode","doc":""},"IO.Process.Output":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L636-L639","name":"IO.Process.Output","line":636,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Output","doc":""},"IO.Process.Child.wait":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L621-L621","name":"IO.Process.Child.wait","line":621,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.wait","doc":""},"IO.Process.Child.takeStdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L633-L634","name":"IO.Process.Child.takeStdin","line":633,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.takeStdin","doc":"Extract the `stdin` field from a `Child` object, allowing them to be freed independently.\nThis operation is necessary for closing the child process' stdin while still holding on to a process handle,\ne.g. for `Child.wait`. A file handle is closed when all references to it are dropped, which without this\noperation includes the `Child` object.\n"},"IO.Process.Child.stdout":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L616-L616","name":"IO.Process.Child.stdout","line":616,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdout","doc":""},"IO.Process.Child.stdin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L615-L615","name":"IO.Process.Child.stdin","line":615,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stdin","doc":""},"IO.Process.Child.stderr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L617-L617","name":"IO.Process.Child.stderr","line":617,"kind":"def","docLink":"./Init/System/IO.html#IO.Process.Child.stderr","doc":""},"IO.Process.Child.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L614-L614","name":"IO.Process.Child.mk","line":614,"kind":"ctor","docLink":"./Init/System/IO.html#IO.Process.Child.mk","doc":""},"IO.Process.Child.kill":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L625-L625","name":"IO.Process.Child.kill","line":625,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Process.Child.kill","doc":"Terminates the child process using the SIGTERM signal or a platform analogue.\nIf the process was started using `SpawnArgs.setsid`, terminates the entire process group instead. "},"IO.Process.Child":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L614-L617","name":"IO.Process.Child","line":614,"kind":"structure","docLink":"./Init/System/IO.html#IO.Process.Child","doc":""},"IO.Prim.setAccessRights":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L683-L683","name":"IO.Prim.setAccessRights","line":683,"kind":"opaque","docLink":"./Init/System/IO.html#IO.Prim.setAccessRights","doc":""},"IO.Mutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L89-L90","name":"IO.Mutex.new","line":89,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.new","doc":"Creates a new mutex. "},"IO.Mutex.mutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L83-L83","name":"IO.Mutex.mutex","line":83,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.mutex","doc":""},"IO.Mutex.atomicallyOnce":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L113-L119","name":"IO.Mutex.atomicallyOnce","line":113,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomicallyOnce","doc":"`mutex.atomicallyOnce condvar pred k` runs `k`,\nwaiting on `condvar` until `pred` returns true.\nBoth `k` and `pred` have access to the mutex's state.\n"},"IO.Mutex.atomically":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L100-L106","name":"IO.Mutex.atomically","line":100,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Mutex.atomically","doc":"`mutex.atomically k` runs `k` with access to the mutex's state while locking the mutex. 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all written outputs with `pre`. 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"},"IO.FS.Stream.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L296-L296","name":"IO.FS.Stream.read","line":296,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.read","doc":"Read up to the given number of bytes from the stream.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.putStrLn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L427-L428","name":"IO.FS.Stream.putStrLn","line":427,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStrLn","doc":""},"IO.FS.Stream.putStr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L304-L304","name":"IO.FS.Stream.putStr","line":304,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.putStr","doc":""},"IO.FS.Stream.ofHandle":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L700-L706","name":"IO.FS.Stream.ofHandle","line":700,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofHandle","doc":""},"IO.FS.Stream.ofBuffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L712-L729","name":"IO.FS.Stream.ofBuffer","line":712,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.ofBuffer","doc":""},"IO.FS.Stream.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.mk","doc":""},"IO.FS.Stream.getLine":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L303-L303","name":"IO.FS.Stream.getLine","line":303,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.getLine","doc":"Read text up to (including) the next line break from the stream.\nIf the returned string is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a stream, so further reads may block and return more data.\n "},"IO.FS.Stream.flush":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L290-L290","name":"IO.FS.Stream.flush","line":290,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.flush","doc":""},"IO.FS.Stream.chainRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Utils.lean#L26-L38","name":"IO.FS.Stream.chainRight","line":26,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainRight","doc":"Chains two streams by creating a new stream s.t. writing to it\njust writes to `a` but reading from it also duplicates the read output\ninto `b`, c.f. `a | tee b` on Unix.\nNB: if `a` is written to but this stream is never read from,\nthe output will *not* be duplicated. Use this if you only care\nabout the data that was actually read. "},"IO.FS.Stream.chainLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/Utils.lean#L41-L51","name":"IO.FS.Stream.chainLeft","line":41,"kind":"def","docLink":"./Lean/Server/Utils.html#IO.FS.Stream.chainLeft","doc":"Like `tee a | b` on Unix. See `chainOut`. "},"IO.FS.Stream.Buffer.pos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L710-L710","name":"IO.FS.Stream.Buffer.pos","line":710,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.pos","doc":""},"IO.FS.Stream.Buffer.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Stream.Buffer.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.mk","doc":""},"IO.FS.Stream.Buffer.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L709-L709","name":"IO.FS.Stream.Buffer.data","line":709,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer.data","doc":""},"IO.FS.Stream.Buffer":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L708-L710","name":"IO.FS.Stream.Buffer","line":708,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream.Buffer","doc":""},"IO.FS.Stream":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L289-L305","name":"IO.FS.Stream","line":289,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Stream","doc":"A pure-Lean abstraction of POSIX streams. We use `Stream`s for the standard streams stdin/stdout/stderr so we can\ncapture output of `#eval` commands into memory. "},"IO.FS.Mode.writeNew":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L256-L264","name":"IO.FS.Mode.writeNew","line":256,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.writeNew","doc":"New file opened for writing.\nOn open, create a new file with the stream positioned at the start.\nErrors if the file already exists.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC | O_EXCL`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L247-L255","name":"IO.FS.Mode.write","line":247,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.write","doc":"File opened for writing.\nOn open, truncate an existing file to zero length or create a new file.\nThe stream is positioned at the beginning of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_TRUNC`\n* `fdopen` mode: `w`\n"},"IO.FS.Mode.readWrite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L265-L273","name":"IO.FS.Mode.readWrite","line":265,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.readWrite","doc":"File opened for reading and writing.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDWR`\n* `fdopen` mode: `r+`\n"},"IO.FS.Mode.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L238-L246","name":"IO.FS.Mode.read","line":238,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.read","doc":"File opened for reading.\nOn open, the stream is positioned at the beginning of the file.\nErrors if the file does not exist.\n\n* `open` flags: `O_RDONLY`\n* `fdopen` mode: `r`\n"},"IO.FS.Mode.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L274-L282","name":"IO.FS.Mode.append","line":274,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Mode.append","doc":"File opened for writing.\nOn open, create a new file if it does not exist.\nThe stream is positioned at the end of the file.\n\n* `open` flags: `O_WRONLY | O_CREAT | O_APPEND`\n* `fdopen` mode: `a`\n"},"IO.FS.Mode":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L237-L282","name":"IO.FS.Mode","line":237,"kind":"inductive","docLink":"./Init/System/IO.html#IO.FS.Mode","doc":"The mode of a file handle (i.e., a set of `open` flags and an `fdopen` mode).\n\nAll modes do not translate line endings (i.e., `O_BINARY` on Windows) and\nare not inherited across process creation (i.e., `O_NOINHERIT` on Windows,\n`O_CLOEXEC` elsewhere).\n\n**References:**\n* Windows:\n [`_open`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/open-wopen?view=msvc-170),\n [`_fdopen`](https://learn.microsoft.com/en-us/cpp/c-runtime-library/reference/fdopen-wfdopen?view=msvc-170)\n* Linux:\n [`open`](https://linux.die.net/man/2/open),\n [`fdopen`](https://linux.die.net/man/3/fdopen)\n"},"IO.FS.Metadata.type":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L458-L458","name":"IO.FS.Metadata.type","line":458,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.type","doc":""},"IO.FS.Metadata.modified":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L456-L456","name":"IO.FS.Metadata.modified","line":456,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.modified","doc":""},"IO.FS.Metadata.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.FS.Metadata.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.FS.Metadata.mk","doc":""},"IO.FS.Metadata.byteSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L457-L457","name":"IO.FS.Metadata.byteSize","line":457,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.byteSize","doc":""},"IO.FS.Metadata.accessed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L455-L455","name":"IO.FS.Metadata.accessed","line":455,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Metadata.accessed","doc":""},"IO.FS.Metadata":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L453-L459","name":"IO.FS.Metadata","line":453,"kind":"structure","docLink":"./Init/System/IO.html#IO.FS.Metadata","doc":""},"IO.FS.Handle.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L338-L338","name":"IO.FS.Handle.write","line":338,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.write","doc":""},"IO.FS.Handle.readToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L389-L394","name":"IO.FS.Handle.readToEnd.loop","line":389,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd.loop","doc":""},"IO.FS.Handle.readToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L388-L395","name":"IO.FS.Handle.readToEnd","line":388,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readToEnd","doc":""},"IO.FS.Handle.readBinToEnd.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L380-L385","name":"IO.FS.Handle.readBinToEnd.loop","line":380,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd.loop","doc":""},"IO.FS.Handle.readBinToEnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L379-L386","name":"IO.FS.Handle.readBinToEnd","line":379,"kind":"def","docLink":"./Init/System/IO.html#IO.FS.Handle.readBinToEnd","doc":""},"IO.FS.Handle.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L337-L337","name":"IO.FS.Handle.read","line":337,"kind":"opaque","docLink":"./Init/System/IO.html#IO.FS.Handle.read","doc":"Read up to the given number of bytes from the handle.\nIf the returned array is empty, an end-of-file marker has been reached.\nNote that EOF does not actually close a handle, so further reads may block and return more 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"},"IO.Condvar.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L54-L54","name":"IO.Condvar.new","line":54,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.Condvar.new","doc":"Creates a new condition variable. "},"IO.Condvar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L48-L48","name":"IO.Condvar","line":48,"kind":"def","docLink":"./Init/System/Mutex.html#IO.Condvar","doc":"Condition variable. "},"IO.Channel.sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L113-L113","name":"IO.Channel.sync","line":113,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.sync","doc":"Accesses synchronous (blocking) version of channel operations.\n\nFor example, `ch.sync.recv?` blocks until the next message,\nand `for msg in ch.sync do ...` iterates synchronously over the channel.\nThese functions should only be used in dedicated threads.\n"},"IO.Channel.send":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L44-L52","name":"IO.Channel.send","line":44,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.send","doc":"Sends a message on an `Channel`.\n\nThis function does not block.\n"},"IO.Channel.recvAllCurrent":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L99-L101","name":"IO.Channel.recvAllCurrent","line":99,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recvAllCurrent","doc":"Receives all currently queued messages from the channel.\n\nThose messages are dequeued and will not be returned by `recv?`.\n"},"IO.Channel.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L70-L81","name":"IO.Channel.recv?","line":70,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.recv?","doc":"Receives a message, without blocking.\nThe returned task waits for the message.\nEvery message is only received once.\n\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L36-L37","name":"IO.Channel.new","line":36,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.new","doc":"Creates a new `Channel`. "},"IO.Channel.instInhabitedState":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L22-L22","name":"IO.Channel.instInhabitedState","line":22,"kind":"instance","docLink":"./Init/Data/Channel.html#IO.Channel.instInhabitedState","doc":""},"IO.Channel.forAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L88-L92","name":"IO.Channel.forAsync","line":88,"kind":"opaque","docLink":"./Init/Data/Channel.html#IO.Channel.forAsync","doc":"`ch.forAsync f` calls `f` for every messages received on `ch`.\n\nNote that if this function is called twice, each `forAsync` only gets half the messages.\n"},"IO.Channel.close":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L57-L61","name":"IO.Channel.close","line":57,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.close","doc":"Closes an `Channel`.\n"},"IO.Channel.Sync.recv?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L121-L122","name":"IO.Channel.Sync.recv?","line":121,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync.recv?","doc":"Synchronously receives a message from the channel.\n\nEvery message is only received once.\nReturns `none` if the channel is closed and the queue is empty.\n"},"IO.Channel.Sync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L104-L104","name":"IO.Channel.Sync","line":104,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.Sync","doc":"Type tag for synchronous (blocking) operations on a `Channel`. "},"IO.Channel.State.values":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L19-L19","name":"IO.Channel.State.values","line":19,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.values","doc":""},"IO.Channel.State.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L18-L18","name":"IO.Channel.State.mk","line":18,"kind":"ctor","docLink":"./Init/Data/Channel.html#IO.Channel.State.mk","doc":""},"IO.Channel.State.consumers":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L20-L20","name":"IO.Channel.State.consumers","line":20,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.consumers","doc":""},"IO.Channel.State.closed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L21-L21","name":"IO.Channel.State.closed","line":21,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel.State.closed","doc":""},"IO.Channel.State":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L18-L22","name":"IO.Channel.State","line":18,"kind":"structure","docLink":"./Init/Data/Channel.html#IO.Channel.State","doc":"Internal state of an `Channel`.\n\nWe maintain the invariant that at all times either `consumers` or `values` is empty.\n"},"IO.Channel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Channel.lean#L30-L30","name":"IO.Channel","line":30,"kind":"def","docLink":"./Init/Data/Channel.html#IO.Channel","doc":"FIFO channel with unbounded buffer, where `recv?` returns a `Task`.\n\nA channel can be closed. Once it is closed, all `send`s are ignored, and\n`recv?` returns `none` once the queue is empty.\n"},"IO.BaseMutex.unlock":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L43-L43","name":"IO.BaseMutex.unlock","line":43,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.unlock","doc":"Unlocks a `BaseMutex`.\n\nThe current thread must have already locked the mutex.\nUnlocking an unlocked mutex is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex.new":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L25-L25","name":"IO.BaseMutex.new","line":25,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.new","doc":"Creates a new `BaseMutex`. "},"IO.BaseMutex.lock":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L34-L34","name":"IO.BaseMutex.lock","line":34,"kind":"opaque","docLink":"./Init/System/Mutex.html#IO.BaseMutex.lock","doc":"Locks a `BaseMutex`. Waits until no other thread has locked the mutex.\n\nThe current thread must not have already locked the mutex.\nReentrant locking is undefined behavior (inherited from the C++ implementation).\n"},"IO.BaseMutex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L19-L19","name":"IO.BaseMutex","line":19,"kind":"def","docLink":"./Init/System/Mutex.html#IO.BaseMutex","doc":"Mutual exclusion primitive (a lock).\n\nIf you want to guard shared state, use `Mutex α` instead.\n"},"IO.AtomicT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/Mutex.lean#L97-L97","name":"IO.AtomicT","line":97,"kind":"def","docLink":"./Init/System/Mutex.html#IO.AtomicT","doc":"`AtomicT α m` is the monad that can be atomically executed inside a `Mutex α`,\nwith outside monad `m`.\nThe action has access to the state `α` of the mutex (via `get` and `set`).\n"},"IO.AsyncList.waitUntil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L70-L80","name":"IO.AsyncList.waitUntil","line":70,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitUntil","doc":"Spawns a `Task` returning the prefix of elements up to (including) the first element for which `p` is true.\nWhen `p` is not true of any element, it returns the entire list. "},"IO.AsyncList.waitHead?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L112-L113","name":"IO.AsyncList.waitHead?","line":112,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitHead?","doc":""},"IO.AsyncList.waitFind?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L89-L97","name":"IO.AsyncList.waitFind?","line":89,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitFind?","doc":"Spawns a `Task` acting like `List.find?` but which will wait for tail evalution\nwhen necessary to traverse the list. If the tail terminates before a matching element\nis found, the task throws the terminating value. "},"IO.AsyncList.waitAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L83-L84","name":"IO.AsyncList.waitAll","line":83,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.waitAll","doc":"Spawns a `Task` waiting on all elements. "},"IO.AsyncList.unfoldAsync.step":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L45-L51","name":"IO.AsyncList.unfoldAsync.step","line":45,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync.step","doc":""},"IO.AsyncList.unfoldAsync":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L43-L54","name":"IO.AsyncList.unfoldAsync","line":43,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.unfoldAsync","doc":"A stateful step computation `f` is applied iteratively, forming an async\nstream. The stream ends once `f` returns `none` for the first time.\n\nFor cooperatively cancelling an ongoing computation, we recommend referencing\na cancellation token in `f` and checking it when appropriate. "},"IO.AsyncList.ofList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L33-L34","name":"IO.AsyncList.ofList","line":33,"kind":"def","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.ofList","doc":""},"IO.AsyncList.nil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L19-L19","name":"IO.AsyncList.nil","line":19,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.nil","doc":""},"IO.AsyncList.instInhabitedAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L23-L23","name":"IO.AsyncList.instInhabitedAsyncList","line":23,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instInhabitedAsyncList","doc":""},"IO.AsyncList.instCoeListAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L36-L36","name":"IO.AsyncList.instCoeListAsyncList","line":36,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instCoeListAsyncList","doc":""},"IO.AsyncList.instAppendAsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L31-L31","name":"IO.AsyncList.instAppendAsyncList","line":31,"kind":"instance","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.instAppendAsyncList","doc":""},"IO.AsyncList.getFinishedPrefix":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L100-L110","name":"IO.AsyncList.getFinishedPrefix","line":100,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getFinishedPrefix","doc":"Retrieve the already-computed prefix of the list. If computation has finished with an error, return it as well. "},"IO.AsyncList.getAll":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L58-L66","name":"IO.AsyncList.getAll","line":58,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.getAll","doc":"The computed, synchronous list. If an async tail was present, returns also\nits terminating value. "},"IO.AsyncList.delayed":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L18-L18","name":"IO.AsyncList.delayed","line":18,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.delayed","doc":""},"IO.AsyncList.cons":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L17-L17","name":"IO.AsyncList.cons","line":17,"kind":"ctor","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.cons","doc":""},"IO.AsyncList.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L26-L29","name":"IO.AsyncList.append","line":26,"kind":"opaque","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList.append","doc":""},"IO.AsyncList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Server/AsyncList.lean#L16-L19","name":"IO.AsyncList","line":16,"kind":"inductive","docLink":"./Lean/Server/AsyncList.html#IO.AsyncList","doc":"An async IO list is like a lazy list but instead of being *unevaluated* `Thunk`s,\n`delayed` suffixes are `Task`s *being evaluated asynchronously*. A delayed suffix can signal the end\nof computation (successful or due to a failure) with a terminating value of type `ε`. "},"IO.AccessRight.write":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L663-L663","name":"IO.AccessRight.write","line":663,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.write","doc":""},"IO.AccessRight.read":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L662-L662","name":"IO.AccessRight.read","line":662,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.read","doc":""},"IO.AccessRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L1-L1","name":"IO.AccessRight.mk","line":1,"kind":"ctor","docLink":"./Init/System/IO.html#IO.AccessRight.mk","doc":""},"IO.AccessRight.flags":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L666-L670","name":"IO.AccessRight.flags","line":666,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.flags","doc":""},"IO.AccessRight.execution":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L664-L664","name":"IO.AccessRight.execution","line":664,"kind":"def","docLink":"./Init/System/IO.html#IO.AccessRight.execution","doc":""},"IO.AccessRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L661-L664","name":"IO.AccessRight","line":661,"kind":"structure","docLink":"./Init/System/IO.html#IO.AccessRight","doc":""},"IO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L66-L66","name":"IO","line":66,"kind":"def","docLink":"./Init/System/IO.html#IO","doc":""},"Hashable.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3347-L3347","name":"Hashable.mk","line":3347,"kind":"ctor","docLink":"./Init/Prelude.html#Hashable.mk","doc":""},"Hashable.hash":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3349-L3349","name":"Hashable.hash","line":3349,"kind":"def","docLink":"./Init/Prelude.html#Hashable.hash","doc":"Hashes the value `a : α` into a `UInt64`. "},"Hashable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3347-L3349","name":"Hashable","line":3347,"kind":"class","docLink":"./Init/Prelude.html#Hashable","doc":"A class for types that can be hashed into a `UInt64`. "},"HasEquiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L338-L338","name":"HasEquiv.mk","line":338,"kind":"ctor","docLink":"./Init/Core.html#HasEquiv.mk","doc":""},"HasEquiv.Equiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L341-L341","name":"HasEquiv.Equiv","line":341,"kind":"def","docLink":"./Init/Core.html#HasEquiv.Equiv","doc":"`x ≈ y` says that `x` and `y` are equivalent. Because this is a typeclass,\nthe notion of equivalence is type-dependent. "},"HasEquiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L338-L341","name":"HasEquiv","line":338,"kind":"class","docLink":"./Init/Core.html#HasEquiv","doc":"`HasEquiv α` is the typeclass which supports the notation `x ≈ y` where `x y : α`."},"HXor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1234-L1234","name":"HXor.mk","line":1234,"kind":"ctor","docLink":"./Init/Prelude.html#HXor.mk","doc":""},"HXor.hXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1237-L1237","name":"HXor.hXor","line":1237,"kind":"def","docLink":"./Init/Prelude.html#HXor.hXor","doc":"`a ^^^ b` computes the bitwise XOR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HXor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1234-L1237","name":"HXor","line":1234,"kind":"class","docLink":"./Init/Prelude.html#HXor","doc":"The typeclass behind the notation `a ^^^ b : γ` where `a : α`, `b : β`. "},"HSub.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1147-L1147","name":"HSub.mk","line":1147,"kind":"ctor","docLink":"./Init/Prelude.html#HSub.mk","doc":""},"HSub.hSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1151-L1151","name":"HSub.hSub","line":1151,"kind":"def","docLink":"./Init/Prelude.html#HSub.hSub","doc":"`a - b` computes the difference of `a` and `b`.\nThe meaning of this notation is type-dependent.\n* For natural numbers, this operator saturates at 0: `a - b = 0` when `a ≤ b`. "},"HSub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1147-L1151","name":"HSub","line":1147,"kind":"class","docLink":"./Init/Prelude.html#HSub","doc":"The notation typeclass for heterogeneous subtraction.\nThis enables the notation `a - b : γ` where `a : α`, `b : β`.\n"},"HShiftRight.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1255-L1255","name":"HShiftRight.mk","line":1255,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftRight.mk","doc":""},"HShiftRight.hShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1260-L1260","name":"HShiftRight.hShiftRight","line":1260,"kind":"def","docLink":"./Init/Prelude.html#HShiftRight.hShiftRight","doc":"`a >>> b` computes `a` shifted to the right by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat` and fixed width unsigned types like `UInt8`,\n this is equivalent to `a / 2 ^ b`. "},"HShiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1255-L1260","name":"HShiftRight","line":1255,"kind":"class","docLink":"./Init/Prelude.html#HShiftRight","doc":"The typeclass behind the notation `a >>> b : γ` where `a : α`, `b : β`. "},"HShiftLeft.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1246-L1246","name":"HShiftLeft.mk","line":1246,"kind":"ctor","docLink":"./Init/Prelude.html#HShiftLeft.mk","doc":""},"HShiftLeft.hShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1252-L1252","name":"HShiftLeft.hShiftLeft","line":1252,"kind":"def","docLink":"./Init/Prelude.html#HShiftLeft.hShiftLeft","doc":"`a <<< b` computes `a` shifted to the left by `b` places.\nThe meaning of this notation is type-dependent.\n* On `Nat`, this is equivalent to `a * 2 ^ b`.\n* On `UInt8` and other fixed width unsigned types, this is the same but\n truncated to the bit width. "},"HShiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1246-L1252","name":"HShiftLeft","line":1246,"kind":"class","docLink":"./Init/Prelude.html#HShiftLeft","doc":"The typeclass behind the notation `a <<< b : γ` where `a : α`, `b : β`. "},"HPow.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1189-L1189","name":"HPow.mk","line":1189,"kind":"ctor","docLink":"./Init/Prelude.html#HPow.mk","doc":""},"HPow.hPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1192-L1192","name":"HPow.hPow","line":1192,"kind":"def","docLink":"./Init/Prelude.html#HPow.hPow","doc":"`a ^ b` computes `a` to the power of `b`.\nThe meaning of this notation is type-dependent. "},"HPow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1189-L1192","name":"HPow","line":1189,"kind":"class","docLink":"./Init/Prelude.html#HPow","doc":"The notation typeclass for heterogeneous exponentiation.\nThis enables the notation `a ^ b : γ` where `a : α`, `b : β`.\n"},"HOrElse.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1208-L1208","name":"HOrElse.mk","line":1208,"kind":"ctor","docLink":"./Init/Prelude.html#HOrElse.mk","doc":""},"HOrElse.hOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1213-L1213","name":"HOrElse.hOrElse","line":1213,"kind":"def","docLink":"./Init/Prelude.html#HOrElse.hOrElse","doc":"`a <|> b` executes `a` and returns the result, unless it fails in which\ncase it executes and returns `b`. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HOrElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1208-L1213","name":"HOrElse","line":1208,"kind":"class","docLink":"./Init/Prelude.html#HOrElse","doc":"The typeclass behind the notation `a <|> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HOr.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1240-L1240","name":"HOr.mk","line":1240,"kind":"ctor","docLink":"./Init/Prelude.html#HOr.mk","doc":""},"HOr.hOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1243-L1243","name":"HOr.hOr","line":1243,"kind":"def","docLink":"./Init/Prelude.html#HOr.hOr","doc":"`a ||| b` computes the bitwise OR of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HOr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1240-L1243","name":"HOr","line":1240,"kind":"class","docLink":"./Init/Prelude.html#HOr","doc":"The typeclass behind the notation `a ||| b : γ` where `a : α`, `b : β`. "},"HMul.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1157-L1157","name":"HMul.mk","line":1157,"kind":"ctor","docLink":"./Init/Prelude.html#HMul.mk","doc":""},"HMul.hMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1160-L1160","name":"HMul.hMul","line":1160,"kind":"def","docLink":"./Init/Prelude.html#HMul.hMul","doc":"`a * b` computes the product of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HMul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1157-L1160","name":"HMul","line":1157,"kind":"class","docLink":"./Init/Prelude.html#HMul","doc":"The notation typeclass for heterogeneous multiplication.\nThis enables the notation `a * b : γ` where `a : α`, `b : β`.\n"},"HMod.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1179-L1179","name":"HMod.mk","line":1179,"kind":"ctor","docLink":"./Init/Prelude.html#HMod.mk","doc":""},"HMod.hMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1183-L1183","name":"HMod.hMod","line":1183,"kind":"def","docLink":"./Init/Prelude.html#HMod.hMod","doc":"`a % b` computes the remainder upon dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For `Nat` and `Int`, `a % 0` is defined to be `a`. "},"HMod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1179-L1183","name":"HMod","line":1179,"kind":"class","docLink":"./Init/Prelude.html#HMod","doc":"The notation typeclass for heterogeneous modulo / remainder.\nThis enables the notation `a % b : γ` where `a : α`, `b : β`.\n"},"HEq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L630-L631","name":"HEq.trans","line":630,"kind":"theorem","docLink":"./Init/Core.html#HEq.trans","doc":""},"HEq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L624-L625","name":"HEq.symm","line":624,"kind":"theorem","docLink":"./Init/Core.html#HEq.symm","doc":""},"HEq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L621-L622","name":"HEq.subst","line":621,"kind":"theorem","docLink":"./Init/Core.html#HEq.subst","doc":""},"HEq.rfl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L448-L449","name":"HEq.rfl","line":448,"kind":"def","docLink":"./Init/Prelude.html#HEq.rfl","doc":"A version of `HEq.refl` with an implicit argument. "},"HEq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L444-L445","name":"HEq.refl","line":444,"kind":"ctor","docLink":"./Init/Prelude.html#HEq.refl","doc":"Reflexivity of heterogeneous equality. "},"HEq.ndrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L615-L616","name":"HEq.ndrecOn","line":615,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrecOn","doc":""},"HEq.ndrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L612-L613","name":"HEq.ndrec","line":612,"kind":"theorem","docLink":"./Init/Core.html#HEq.ndrec","doc":""},"HEq.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L618-L619","name":"HEq.elim","line":618,"kind":"theorem","docLink":"./Init/Core.html#HEq.elim","doc":""},"HEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L443-L445","name":"HEq","line":443,"kind":"inductive","docLink":"./Init/Prelude.html#HEq","doc":"Heterogeneous equality. `HEq a b` asserts that `a` and `b` have the same\ntype, and casting `a` across the equality yields `b`, and vice versa.\n\nYou should avoid using this type if you can. Heterogeneous equality does not\nhave all the same properties as `Eq`, because the assumption that the types of\n`a` and `b` are equal is often too weak to prove theorems of interest. One\nimportant non-theorem is the analogue of `congr`: If `HEq f g` and `HEq x y`\nand `f x` and `g y` are well typed it does not follow that `HEq (f x) (g y)`.\n(This does follow if you have `f = g` instead.) However if `a` and `b` have\nthe same type then `a = b` and `HEq a b` are equivalent.\n"},"HDiv.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1166-L1166","name":"HDiv.mk","line":1166,"kind":"ctor","docLink":"./Init/Prelude.html#HDiv.mk","doc":""},"HDiv.hDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1173-L1173","name":"HDiv.hDiv","line":1173,"kind":"def","docLink":"./Init/Prelude.html#HDiv.hDiv","doc":"`a / b` computes the result of dividing `a` by `b`.\nThe meaning of this notation is type-dependent.\n* For most types like `Nat`, `Int`, `Rat`, `Real`, `a / 0` is defined to be `0`.\n* For `Nat` and `Int`, `a / b` rounds toward 0.\n* For `Float`, `a / 0` follows the IEEE 754 semantics for division,\n usually resulting in `inf` or `nan`. "},"HDiv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1166-L1173","name":"HDiv","line":1166,"kind":"class","docLink":"./Init/Prelude.html#HDiv","doc":"The notation typeclass for heterogeneous division.\nThis enables the notation `a / b : γ` where `a : α`, `b : β`.\n"},"HAppend.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1198-L1198","name":"HAppend.mk","line":1198,"kind":"ctor","docLink":"./Init/Prelude.html#HAppend.mk","doc":""},"HAppend.hAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1201-L1201","name":"HAppend.hAppend","line":1201,"kind":"def","docLink":"./Init/Prelude.html#HAppend.hAppend","doc":"`a ++ b` is the result of concatenation of `a` and `b`, usually read \"append\".\nThe meaning of this notation is type-dependent. "},"HAppend":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1198-L1201","name":"HAppend","line":1198,"kind":"class","docLink":"./Init/Prelude.html#HAppend","doc":"The notation typeclass for heterogeneous append.\nThis enables the notation `a ++ b : γ` where `a : α`, `b : β`.\n"},"HAndThen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1220-L1220","name":"HAndThen.mk","line":1220,"kind":"ctor","docLink":"./Init/Prelude.html#HAndThen.mk","doc":""},"HAndThen.hAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1225-L1225","name":"HAndThen.hAndThen","line":1225,"kind":"def","docLink":"./Init/Prelude.html#HAndThen.hAndThen","doc":"`a >> b` executes `a`, ignores the result, and then executes `b`.\nIf `a` fails then `b` is not executed. Because `b` is not always executed, it\nis passed as a thunk so it can be forced only when needed.\nThe meaning of this notation is type-dependent. "},"HAndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1220-L1225","name":"HAndThen","line":1220,"kind":"class","docLink":"./Init/Prelude.html#HAndThen","doc":"The typeclass behind the notation `a >> b : γ` where `a : α`, `b : β`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → β` to the\nimplementation so it can decide when to evaluate it.\n"},"HAnd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1228-L1228","name":"HAnd.mk","line":1228,"kind":"ctor","docLink":"./Init/Prelude.html#HAnd.mk","doc":""},"HAnd.hAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1231-L1231","name":"HAnd.hAnd","line":1231,"kind":"def","docLink":"./Init/Prelude.html#HAnd.hAnd","doc":"`a &&& b` computes the bitwise AND of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAnd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1228-L1231","name":"HAnd","line":1228,"kind":"class","docLink":"./Init/Prelude.html#HAnd","doc":"The typeclass behind the notation `a &&& b : γ` where `a : α`, `b : β`. "},"HAdd.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1138-L1138","name":"HAdd.mk","line":1138,"kind":"ctor","docLink":"./Init/Prelude.html#HAdd.mk","doc":""},"HAdd.hAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1141-L1141","name":"HAdd.hAdd","line":1141,"kind":"def","docLink":"./Init/Prelude.html#HAdd.hAdd","doc":"`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. "},"HAdd":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1138-L1141","name":"HAdd","line":1138,"kind":"class","docLink":"./Init/Prelude.html#HAdd","doc":"The notation typeclass for heterogeneous addition.\nThis enables the notation `a + b : γ` where `a : α`, `b : β`.\n"},"Goedel.toType":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L8-L8","name":"Goedel.toType","line":8,"kind":"def","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.toType","doc":""},"Goedel.mk":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L7-L7","name":"Goedel.mk","line":7,"kind":"ctor","docLink":"./SSA/Core/WellTypedFramework.html#Goedel.mk","doc":""},"Goedel":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/WellTypedFramework.lean#L7-L8","name":"Goedel","line":7,"kind":"class","docLink":"./SSA/Core/WellTypedFramework.html#Goedel","doc":"Typeclass for a `baseType` which is a Gödel code of\nLean types. "},"GetElem.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2460-L2460","name":"GetElem.mk","line":2460,"kind":"ctor","docLink":"./Init/Prelude.html#GetElem.mk","doc":""},"GetElem.getElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2481-L2481","name":"GetElem.getElem","line":2481,"kind":"def","docLink":"./Init/Prelude.html#GetElem.getElem","doc":"The syntax `arr[i]` gets the `i`'th element of the collection `arr`.\nIf there are proof side conditions to the application, they will be automatically\ninferred by the `get_elem_tactic` tactic.\n\nThe actual behavior of this class is type-dependent,\nbut here are some important implementations:\n* `arr[i] : α` where `arr : Array α` and `i : Nat` or `i : USize`:\n does array indexing with no bounds check and a proof side goal `i < arr.size`.\n* `l[i] : α` where `l : List α` and `i : Nat`: index into a list,\n with proof side goal `i < l.length`.\n* `stx[i] : Syntax` where `stx : Syntax` and `i : Nat`: get a syntax argument,\n no side goal (returns `.missing` out of range)\n\nThere are other variations on this syntax:\n* `arr[i]`: proves the proof side goal by `get_elem_tactic`\n* `arr[i]!`: panics if the side goal is false\n* `arr[i]?`: returns `none` if the side goal is false\n* `arr[i]'h`: uses `h` to prove the side goal\n"},"GetElem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2460-L2481","name":"GetElem","line":2460,"kind":"class","docLink":"./Init/Prelude.html#GetElem","doc":"The class `GetElem cont idx elem dom` implements the `xs[i]` notation.\nWhen you write this, given `xs : cont` and `i : idx`, lean looks for an instance\nof `GetElem cont idx elem dom`. Here `elem` is the type of `xs[i]`, while\n`dom` is whatever proof side conditions are required to make this applicable.\nFor example, the instance for arrays looks like\n`GetElem (Array α) Nat α (fun xs i => i < xs.size)`.\n\nThe proof side-condition `dom xs i` is automatically dispatched by the\n`get_elem_tactic` tactic, which can be extended by adding more clauses to\n`get_elem_tactic_trivial`.\n"},"GT.gt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1085-L1085","name":"GT.gt","line":1085,"kind":"def","docLink":"./Init/Prelude.html#GT.gt","doc":"`a > b` is an abbreviation for `b < a`. "},"GE.ge":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1083-L1083","name":"GE.ge","line":1083,"kind":"def","docLink":"./Init/Prelude.html#GE.ge","doc":"`a ≥ b` is an abbreviation for `b ≤ a`. "},"Functor.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2683-L2683","name":"Functor.mk","line":2683,"kind":"ctor","docLink":"./Init/Prelude.html#Functor.mk","doc":""},"Functor.mapRev":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L12-L13","name":"Functor.mapRev","line":12,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.mapRev","doc":""},"Functor.mapConst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2688-L2688","name":"Functor.mapConst","line":2688,"kind":"def","docLink":"./Init/Prelude.html#Functor.mapConst","doc":"The special case `const a <$> x`, which can sometimes be implemented more\nefficiently. "},"Functor.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2685-L2685","name":"Functor.map","line":2685,"kind":"def","docLink":"./Init/Prelude.html#Functor.map","doc":"If `f : α → β` and `x : F α` then `f <$> x : F β`. "},"Functor.discard":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L18-L19","name":"Functor.discard","line":18,"kind":"def","docLink":"./Init/Control/Basic.html#Functor.discard","doc":""},"Functor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2683-L2688","name":"Functor","line":2683,"kind":"class","docLink":"./Init/Prelude.html#Functor","doc":"In functional programming, a \"functor\" is a function on types `F : Type u → Type v`\nequipped with an operator called `map` or `<$>` such that if `f : α → β` then\n`map f : F α → F β`, so `f <$> x : F β` if `x : F α`. This corresponds to the\ncategory-theory notion of [functor](https://en.wikipedia.org/wiki/Functor) in\nthe special case where the category is the category of types and functions\nbetween them, except that this class supplies only the operations and not the\nlaws (see `LawfulFunctor`).\n"},"Function.const_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L31-L31","name":"Function.const_apply","line":31,"kind":"theorem","docLink":"./Init/Core.html#Function.const_apply","doc":""},"Function.const":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L66-L67","name":"Function.const","line":66,"kind":"def","docLink":"./Init/Prelude.html#Function.const","doc":"The constant function. If `a : α`, then `Function.const β a : β → α` is the\n\"constant function with value `a`\", that is, `Function.const β a b = a`.\n```\nexample (b : Bool) : Function.const Bool 10 b = 10 :=\n rfl\n\n#check Function.const Bool 10\n-- Bool → Nat\n```\n"},"Function.comp_apply":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L33-L33","name":"Function.comp_apply","line":33,"kind":"theorem","docLink":"./Init/Core.html#Function.comp_apply","doc":""},"Function.comp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L52-L53","name":"Function.comp","line":52,"kind":"def","docLink":"./Init/Prelude.html#Function.comp","doc":"Function composition is the act of pipelining the result of one function, to the input of another, creating an entirely new function.\nExample:\n```\n#eval Function.comp List.reverse (List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nYou can use the notation `f ∘ g` as shorthand for `Function.comp f g`.\n```\n#eval (List.reverse ∘ List.drop 2) [3, 2, 4, 1]\n-- [1, 4]\n```\nA simpler way of thinking about it, is that `List.reverse ∘ List.drop 2`\nis equivalent to `fun xs => List.reverse (List.drop 2 xs)`,\nthe benefit is that the meaning of composition is obvious,\nand the representation is compact.\n"},"ForM.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L230-L230","name":"ForM.mk","line":230,"kind":"ctor","docLink":"./Init/Control/Basic.html#ForM.mk","doc":""},"ForM.forM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L231-L231","name":"ForM.forM","line":231,"kind":"def","docLink":"./Init/Control/Basic.html#ForM.forM","doc":""},"ForM.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/State.lean#L103-L111","name":"ForM.forIn","line":103,"kind":"def","docLink":"./Init/Control/State.html#ForM.forIn","doc":"Adapter to create a ForIn instance from a ForM instance "},"ForM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L230-L231","name":"ForM","line":230,"kind":"class","docLink":"./Init/Control/Basic.html#ForM","doc":"Typeclass for the polymorphic `forM` operation described in the \"do unchained\" paper.\nRemark:\n- `γ` is a \"container\" type of elements of type `α`.\n- `α` is treated as an output parameter by the typeclass resolution procedure.\n That is, it tries to find an instance using only `m` and `γ`.\n"},"ForInStep.yield":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L216-L218","name":"ForInStep.yield","line":216,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.yield","doc":"`.yield a` means that we should continue the loop.\n`.yield` is produced by `continue` and reaching the bottom of the loop body. "},"ForInStep.done":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L213-L215","name":"ForInStep.done","line":213,"kind":"ctor","docLink":"./Init/Core.html#ForInStep.done","doc":"`.done a` means that we should early-exit the loop.\n`.done` is produced by calls to `break` or `return` in the loop. "},"ForInStep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L212-L219","name":"ForInStep","line":212,"kind":"inductive","docLink":"./Init/Core.html#ForInStep","doc":"Auxiliary type used to compile `for x in xs` notation.\n\nThis is the return value of the body of a `ForIn` call,\nrepresenting the body of a for loop. It can be:\n\n* `.yield (a : α)`, meaning that we should continue the loop and `a` is the new state.\n `.yield` is produced by `continue` and reaching the bottom of the loop body.\n* `.done (a : α)`, meaning that we should early-exit the loop with state `a`.\n `.done` is produced by calls to `break` or `return` in the loop,\n"},"ForIn.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L227-L227","name":"ForIn.mk","line":227,"kind":"ctor","docLink":"./Init/Core.html#ForIn.mk","doc":""},"ForIn.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L248-L248","name":"ForIn.forIn","line":248,"kind":"def","docLink":"./Init/Core.html#ForIn.forIn","doc":"`forIn x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` to\n`f : α → β → m (ForInStep β)`. `b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration.\n\nThe expression\n```\nlet mut b := ...\nfor x in xs do\n b ← foo x b\n```\nin a `do` block is syntactic sugar for:\n```\nlet b := ...\nlet b ← forIn xs b (fun x b => do\n let b ← foo x b\n return .yield b)\n```\n(Here `b` corresponds to the variables mutated in the loop.) "},"ForIn'.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L257-L257","name":"ForIn'.mk","line":257,"kind":"ctor","docLink":"./Init/Core.html#ForIn'.mk","doc":""},"ForIn'.forIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L264-L264","name":"ForIn'.forIn'","line":264,"kind":"def","docLink":"./Init/Core.html#ForIn'.forIn'","doc":"`forIn' x b f : m β` runs a for-loop in the monad `m` with additional state `β`.\nThis traverses over the \"contents\" of `x`, and passes the elements `a : α` along\nwith a proof that `a ∈ x` to `f : (a : α) → a ∈ x → β → m (ForInStep β)`.\n`b : β` is the initial state, and the return value\nof `f` is the new state as well as a directive `.done` or `.yield`\nwhich indicates whether to abort early or continue iteration. "},"ForIn'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L257-L264","name":"ForIn'","line":257,"kind":"class","docLink":"./Init/Core.html#ForIn'","doc":"`ForIn' m ρ α d` is a variation on the `ForIn m ρ α` typeclass which supports the\n`for h : x in xs` notation. It is the same as `for x in xs` except that `h : x ∈ xs`\nis provided as an additional argument to the body of the for-loop.\n"},"ForIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L227-L248","name":"ForIn","line":227,"kind":"class","docLink":"./Init/Core.html#ForIn","doc":"`ForIn m ρ α` is the typeclass which supports `for x in xs` notation.\nHere `xs : ρ` is the type of the collection to iterate over, `x : α`\nis the element type which is made available inside the loop, and `m` is the monad\nfor the encompassing `do` block.\n"},"FloatSpec.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L13-L13","name":"FloatSpec.val","line":13,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.val","doc":""},"FloatSpec.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L1-L1","name":"FloatSpec.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#FloatSpec.mk","doc":""},"FloatSpec.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L14-L14","name":"FloatSpec.lt","line":14,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.lt","doc":""},"FloatSpec.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L15-L15","name":"FloatSpec.le","line":15,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.le","doc":""},"FloatSpec.float":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L12-L12","name":"FloatSpec.float","line":12,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.float","doc":""},"FloatSpec.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L16-L16","name":"FloatSpec.decLt","line":16,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLt","doc":""},"FloatSpec.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L17-L17","name":"FloatSpec.decLe","line":17,"kind":"def","docLink":"./Init/Data/Float.html#FloatSpec.decLe","doc":""},"FloatSpec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L11-L17","name":"FloatSpec","line":11,"kind":"structure","docLink":"./Init/Data/Float.html#FloatSpec","doc":""},"FloatArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L65-L66","name":"FloatArray.uset","line":65,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uset","doc":""},"FloatArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L41-L42","name":"FloatArray.uget","line":41,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.uget","doc":""},"FloatArray.toList.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L80-L84","name":"FloatArray.toList.loop","line":80,"kind":"opaque","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList.loop","doc":""},"FloatArray.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L79-L85","name":"FloatArray.toList","line":79,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.toList","doc":""},"FloatArray.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L37-L38","name":"FloatArray.size","line":37,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.size","doc":""},"FloatArray.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L73-L74","name":"FloatArray.set!","line":73,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set!","doc":""},"FloatArray.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L69-L70","name":"FloatArray.set","line":69,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.set","doc":""},"FloatArray.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L33-L34","name":"FloatArray.push","line":33,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.push","doc":""},"FloatArray.mkEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L20-L21","name":"FloatArray.mkEmpty","line":20,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mkEmpty","doc":""},"FloatArray.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L1-L1","name":"FloatArray.mk","line":1,"kind":"ctor","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.mk","doc":""},"FloatArray.isEmpty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/B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claim this unsafe implementation is correct because an array cannot have more than `usizeSz` elements in our runtime.\nThis is similar to the `Array` version.\n"},"FloatArray.forIn.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L107-L116","name":"FloatArray.forIn.loop","line":107,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.forIn.loop","doc":""},"FloatArray.forIn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L106-L117","name":"FloatArray.forIn","line":106,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.forIn","doc":"Reference implementation for `forIn` "},"FloatArray.foldlMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L126-L130","name":"FloatArray.foldlMUnsafe.fold","line":126,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlMUnsafe.fold","doc":""},"FloatArray.foldlMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L125-L137","name":"FloatArray.foldlMUnsafe","line":125,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlMUnsafe","doc":"See comment at `forInUnsafe` "},"FloatArray.foldlM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L143-L150","name":"FloatArray.foldlM.loop","line":143,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlM.loop","doc":""},"FloatArray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L141-L155","name":"FloatArray.foldlM","line":141,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldlM","doc":"Reference implementation for `foldlM` "},"FloatArray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L158-L159","name":"FloatArray.foldl","line":158,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.foldl","doc":""},"FloatArray.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L23-L24","name":"FloatArray.empty","line":23,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.empty","doc":""},"FloatArray.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L13-L13","name":"FloatArray.data","line":13,"kind":"def","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray.data","doc":""},"FloatArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/FloatArray/Basic.lean#L12-L13","name":"FloatArray","line":12,"kind":"structure","docLink":"./Init/Data/FloatArray/Basic.html#FloatArray","doc":""},"Float.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L30-L30","name":"Float.val","line":30,"kind":"def","docLink":"./Init/Data/Float.html#Float.val","doc":""},"Float.toUSize":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L88-L88","name":"Float.toUSize","line":88,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUSize","doc":"If 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"},"Float.toUInt8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L76-L76","name":"Float.toUInt8","line":76,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt8","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt8, returns 0. "},"Float.toUInt64":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L85-L85","name":"Float.toUInt64","line":85,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt64","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt64, returns 0. "},"Float.toUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L82-L82","name":"Float.toUInt32","line":82,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt32","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt32, returns 0. "},"Float.toUInt16":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L79-L79","name":"Float.toUInt16","line":79,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toUInt16","doc":"If the given float is positive, truncates the value to the nearest positive integer.\nIf negative or larger than the maximum value for UInt16, returns 0. "},"Float.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L72-L72","name":"Float.toString","line":72,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.toString","doc":""},"Float.tanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L118-L118","name":"Float.tanh","line":118,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tanh","doc":""},"Float.tan":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L111-L111","name":"Float.tan","line":111,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.tan","doc":""},"Float.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L35-L35","name":"Float.sub","line":35,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sub","doc":""},"Float.sqrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L128-L128","name":"Float.sqrt","line":128,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sqrt","doc":""},"Float.sinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L116-L116","name":"Float.sinh","line":116,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sinh","doc":""},"Float.sin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L109-L109","name":"Float.sin","line":109,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.sin","doc":""},"Float.scaleB":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L145-L145","name":"Float.scaleB","line":145,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.scaleB","doc":"Efficiently computes `x * 2^i`.\n"},"Float.round":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L132-L132","name":"Float.round","line":132,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.round","doc":""},"Float.pow":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L127-L127","name":"Float.pow","line":127,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.pow","doc":""},"Float.ofScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L26-L32","name":"Float.ofScientific","line":26,"kind":"opaque","docLink":"./Init/Data/OfScientific.html#Float.ofScientific","doc":""},"Float.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L46-L47","name":"Float.ofNat","line":46,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofNat","doc":""},"Float.ofInt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L49-L51","name":"Float.ofInt","line":49,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofInt","doc":""},"Float.ofBinaryScientific":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/OfScientific.lean#L20-L24","name":"Float.ofBinaryScientific","line":20,"kind":"def","docLink":"./Init/Data/OfScientific.html#Float.ofBinaryScientific","doc":"Computes `m * 2^e`. "},"Float.neg":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L38-L38","name":"Float.neg","line":38,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.neg","doc":""},"Float.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L36-L36","name":"Float.mul","line":36,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.mul","doc":""},"Float.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L1-L1","name":"Float.mk","line":1,"kind":"ctor","docLink":"./Init/Data/Float.html#Float.mk","doc":""},"Float.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L41-L43","name":"Float.lt","line":41,"kind":"def","docLink":"./Init/Data/Float.html#Float.lt","doc":""},"Float.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L125-L125","name":"Float.log2","line":125,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log2","doc":""},"Float.log10":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L126-L126","name":"Float.log10","line":126,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log10","doc":""},"Float.log":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L124-L124","name":"Float.log","line":124,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.log","doc":""},"Float.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L45-L46","name":"Float.le","line":45,"kind":"def","docLink":"./Init/Data/Float.html#Float.le","doc":""},"Float.isNaN":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L90-L90","name":"Float.isNaN","line":90,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isNaN","doc":""},"Float.isInf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L92-L92","name":"Float.isInf","line":92,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isInf","doc":""},"Float.isFinite":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L91-L91","name":"Float.isFinite","line":91,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.isFinite","doc":""},"Float.frExp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L97-L97","name":"Float.frExp","line":97,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.frExp","doc":"Splits the given float `x` into a significand/exponent pair `(s, i)`\nsuch that `x = s * 2^i` where `s ∈ (-1;-0.5] ∪ [0.5; 1)`.\nReturns an undefined value if `x` is not finite.\n"},"Float.floor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L131-L131","name":"Float.floor","line":131,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.floor","doc":""},"Float.exp2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L123-L123","name":"Float.exp2","line":123,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp2","doc":""},"Float.exp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L122-L122","name":"Float.exp","line":122,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.exp","doc":""},"Float.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L37-L37","name":"Float.div","line":37,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.div","doc":""},"Float.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L61-L63","name":"Float.decLt","line":61,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLt","doc":""},"Float.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L65-L67","name":"Float.decLe","line":65,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.decLe","doc":""},"Float.cosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L117-L117","name":"Float.cosh","line":117,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cosh","doc":""},"Float.cos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L110-L110","name":"Float.cos","line":110,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cos","doc":""},"Float.ceil":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L130-L130","name":"Float.ceil","line":130,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.ceil","doc":""},"Float.cbrt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L129-L129","name":"Float.cbrt","line":129,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.cbrt","doc":""},"Float.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L57-L57","name":"Float.beq","line":57,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.beq","doc":"Note: this is not reflexive since `NaN != NaN`."},"Float.atanh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L121-L121","name":"Float.atanh","line":121,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atanh","doc":""},"Float.atan2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L115-L115","name":"Float.atan2","line":115,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan2","doc":""},"Float.atan":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L114-L114","name":"Float.atan","line":114,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.atan","doc":""},"Float.asinh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L119-L119","name":"Float.asinh","line":119,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asinh","doc":""},"Float.asin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L112-L112","name":"Float.asin","line":112,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.asin","doc":""},"Float.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L34-L34","name":"Float.add","line":34,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.add","doc":""},"Float.acosh":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L120-L120","name":"Float.acosh","line":120,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acosh","doc":""},"Float.acos":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L113-L113","name":"Float.acos","line":113,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.acos","doc":""},"Float.abs":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L133-L133","name":"Float.abs","line":133,"kind":"opaque","docLink":"./Init/Data/Float.html#Float.abs","doc":""},"Float":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Float.lean#L29-L30","name":"Float","line":29,"kind":"structure","docLink":"./Init/Data/Float.html#Float","doc":""},"Fin.xor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L68-L69","name":"Fin.xor","line":68,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.xor","doc":""},"Fin.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L109-L110","name":"Fin.val_ne_of_ne","line":109,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_ne_of_ne","doc":""},"Fin.val_lt_of_le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L115-L116","name":"Fin.val_lt_of_le","line":115,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.val_lt_of_le","doc":""},"Fin.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1755-L1756","name":"Fin.val_eq_of_eq","line":1755,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.val_eq_of_eq","doc":""},"Fin.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1748-L1748","name":"Fin.val","line":1748,"kind":"def","docLink":"./Init/Prelude.html#Fin.val","doc":"If `i : Fin n`, then `i.val : ℕ` is the described number. It can also be\nwritten as `i.1` or just `i` when the target type is known. "},"Fin.succ":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L21-L22","name":"Fin.succ","line":21,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.succ","doc":""},"Fin.sub":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L44-L45","name":"Fin.sub","line":44,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.sub","doc":""},"Fin.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L11-L12","name":"Fin.sizeOf","line":11,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Fin.sizeOf","doc":""},"Fin.shiftRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L74-L75","name":"Fin.shiftRight","line":74,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftRight","doc":""},"Fin.shiftLeft":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L71-L72","name":"Fin.shiftLeft","line":71,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.shiftLeft","doc":""},"Fin.ofNat'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L29-L30","name":"Fin.ofNat'","line":29,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat'","doc":""},"Fin.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L26-L27","name":"Fin.ofNat","line":26,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.ofNat","doc":""},"Fin.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1758-L1759","name":"Fin.ne_of_val_ne","line":1758,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.ne_of_val_ne","doc":""},"Fin.mul":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L41-L42","name":"Fin.mul","line":41,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mul","doc":""},"Fin.modn_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L112-L113","name":"Fin.modn_lt","line":112,"kind":"theorem","docLink":"./Init/Data/Fin/Basic.html#Fin.modn_lt","doc":""},"Fin.modn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L59-L60","name":"Fin.modn","line":59,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.modn","doc":""},"Fin.mod":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L53-L54","name":"Fin.mod","line":53,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.mod","doc":""},"Fin.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1745-L1745","name":"Fin.mk","line":1745,"kind":"ctor","docLink":"./Init/Prelude.html#Fin.mk","doc":""},"Fin.lor":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L65-L66","name":"Fin.lor","line":65,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.lor","doc":""},"Fin.log2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Log2.lean#L9-L9","name":"Fin.log2","line":9,"kind":"def","docLink":"./Init/Data/Fin/Log2.html#Fin.log2","doc":""},"Fin.land":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L62-L63","name":"Fin.land","line":62,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.land","doc":""},"Fin.isLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1750-L1750","name":"Fin.isLt","line":1750,"kind":"def","docLink":"./Init/Prelude.html#Fin.isLt","doc":"If `i : Fin n`, then `i.2` is a proof that `i.1 < n`. "},"Fin.instXorFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L96-L97","name":"Fin.instXorFin","line":96,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instXorFin","doc":""},"Fin.instSubFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L80-L81","name":"Fin.instSubFin","line":80,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instSubFin","doc":""},"Fin.instShiftRightFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L100-L101","name":"Fin.instShiftRightFin","line":100,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftRightFin","doc":""},"Fin.instShiftLeftFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L98-L99","name":"Fin.instShiftLeftFin","line":98,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instShiftLeftFin","doc":""},"Fin.instOrOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L94-L95","name":"Fin.instOrOpFin","line":94,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOrOpFin","doc":""},"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L103-L104","name":"Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","line":103,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instOfNatFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instMulFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L83-L84","name":"Fin.instMulFin","line":83,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instMulFin","doc":""},"Fin.instModFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L86-L87","name":"Fin.instModFin","line":86,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instModFin","doc":""},"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L106-L107","name":"Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","line":106,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instInhabitedFinHAddNatInstHAddInstAddNatOfNat","doc":""},"Fin.instDivFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L89-L90","name":"Fin.instDivFin","line":89,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instDivFin","doc":""},"Fin.instAndOpFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L92-L93","name":"Fin.instAndOpFin","line":92,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAndOpFin","doc":""},"Fin.instAddFin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L77-L78","name":"Fin.instAddFin","line":77,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.instAddFin","doc":""},"Fin.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1752-L1753","name":"Fin.eq_of_val_eq","line":1752,"kind":"theorem","docLink":"./Init/Prelude.html#Fin.eq_of_val_eq","doc":""},"Fin.elim0":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L18-L19","name":"Fin.elim0","line":18,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.elim0","doc":""},"Fin.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L56-L57","name":"Fin.div","line":56,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.div","doc":""},"Fin.decLt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1773-L1773","name":"Fin.decLt","line":1773,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLt","doc":""},"Fin.decLe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1774-L1774","name":"Fin.decLe","line":1774,"kind":"instance","docLink":"./Init/Prelude.html#Fin.decLe","doc":""},"Fin.coeToNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L15-L16","name":"Fin.coeToNat","line":15,"kind":"instance","docLink":"./Init/Data/Fin/Basic.html#Fin.coeToNat","doc":""},"Fin.coeLt":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Core/Util.lean#L25-L27","name":"Fin.coeLt","line":25,"kind":"def","docLink":"./SSA/Core/Util.html#Fin.coeLt","doc":""},"Fin.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Fin/Basic.lean#L38-L39","name":"Fin.add","line":38,"kind":"def","docLink":"./Init/Data/Fin/Basic.html#Fin.add","doc":""},"Fin":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1745-L1750","name":"Fin","line":1745,"kind":"structure","docLink":"./Init/Prelude.html#Fin","doc":"`Fin n` is a natural number `i` with the constraint that `0 ≤ i < n`.\nIt is the \"canonical type with `n` elements\".\n"},"False.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L223-L224","name":"False.elim","line":223,"kind":"def","docLink":"./Init/Prelude.html#False.elim","doc":"`False.elim : False → C` says that from `False`, any desired proposition\n`C` holds. Also known as ex falso quodlibet (EFQ) or the principle of explosion.\n\nThe target type is actually `C : Sort u` which means it works for both\npropositions and types. When executed, this acts like an \"unreachable\"\ninstruction: it is **undefined behavior** to run, but it will probably print\n\"unreachable code\". (You would need to construct a proof of false to run it\nanyway, which you can only do using `sorry` or unsound axioms.)\n"},"False":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L189-L189","name":"False","line":189,"kind":"inductive","docLink":"./Init/Prelude.html#False","doc":"`False` is the empty proposition. Thus, it has no introduction rules.\nIt represents a contradiction. `False` elimination rule, `False.rec`,\nexpresses the fact that anything follows from a contradiction.\nThis rule is sometimes called ex falso (short for ex falso sequitur quodlibet),\nor the principle of explosion.\nFor more information: [Propositional Logic](https://leanprover.github.io/theorem_proving_in_lean4/propositions_and_proofs.html#propositional-logic)\n"},"Exists.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L197-L199","name":"Exists.intro","line":197,"kind":"ctor","docLink":"./Init/Core.html#Exists.intro","doc":"Existential introduction. If `a : α` and `h : p a`,\nthen `⟨a, h⟩` is a proof that `∃ x : α, p x`. "},"Exists.elim":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L685-L688","name":"Exists.elim","line":685,"kind":"theorem","docLink":"./Init/Core.html#Exists.elim","doc":""},"Exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L196-L199","name":"Exists","line":196,"kind":"inductive","docLink":"./Init/Core.html#Exists","doc":"Existential quantification. If `p : α → Prop` is a predicate, then `∃ x : α, p x`\nasserts that there is some `x` of type `α` such that `p x` holds.\nTo create an existential proof, use the `exists` tactic,\nor the anonymous constructor notation `⟨x, h⟩`.\nTo unpack an existential, use `cases h` where `h` is a proof of `∃ x : α, p x`,\nor `let ⟨x, hx⟩ := h` where `.\n\nBecause Lean has proof irrelevance, any two proofs of an existential are\ndefinitionally equal. One consequence of this is that it is impossible to recover the\nwitness of an existential from the mere fact of its existence.\nFor example, the following does not compile:\n```\nexample (h : ∃ x : Nat, x = x) : Nat :=\n let ⟨x, _⟩ := h -- fail, because the goal is `Nat : Type`\n x\n```\nThe error message `recursor 'Exists.casesOn' can only eliminate into Prop` means\nthat this only works when the current goal is another proposition:\n```\nexample (h : ∃ x : Nat, x = x) : True :=\n let ⟨x, _⟩ := h -- ok, because the goal is `True : Prop`\n trivial\n```\n"},"ExceptT.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L114-L117","name":"ExceptT.tryCatch","line":114,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.tryCatch","doc":""},"ExceptT.seq_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L137-L138","name":"ExceptT.seq_eq","line":137,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seq_eq","doc":""},"ExceptT.seqRight_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L155-L161","name":"ExceptT.seqRight_eq","line":155,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqRight_eq","doc":""},"ExceptT.seqLeft_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L143-L153","name":"ExceptT.seqLeft_eq","line":143,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.seqLeft_eq","doc":""},"ExceptT.run_throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L112-L112","name":"ExceptT.run_throw","line":112,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_throw","doc":""},"ExceptT.run_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L108-L108","name":"ExceptT.run_pure","line":108,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_pure","doc":""},"ExceptT.run_map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L131-L135","name":"ExceptT.run_map","line":131,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_map","doc":""},"ExceptT.run_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L110-L110","name":"ExceptT.run_lift","line":110,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_lift","doc":""},"ExceptT.run_bind_lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L114-L115","name":"ExceptT.run_bind_lift","line":114,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind_lift","doc":""},"ExceptT.run_bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L120-L126","name":"ExceptT.run_bind","line":120,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.run_bind","doc":""},"ExceptT.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L80-L80","name":"ExceptT.run","line":80,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.run","doc":""},"ExceptT.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L87-L88","name":"ExceptT.pure","line":87,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.pure","doc":""},"ExceptT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L77-L77","name":"ExceptT.mk","line":77,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.mk","doc":""},"ExceptT.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L100-L103","name":"ExceptT.map","line":100,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.map","doc":""},"ExceptT.lift_pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Lawful.lean#L128-L129","name":"ExceptT.lift_pure","line":128,"kind":"theorem","docLink":"./Init/Control/Lawful.html#ExceptT.lift_pure","doc":""},"ExceptT.lift":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L106-L107","name":"ExceptT.lift","line":106,"kind":"def","docLink":"./Init/Control/Except.html#ExceptT.lift","doc":""},"ExceptT.instMonadLiftExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L111-L111","name":"ExceptT.instMonadLiftExceptT","line":111,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptT","doc":""},"ExceptT.instMonadLiftExceptExceptT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L110-L110","name":"ExceptT.instMonadLiftExceptExceptT","line":110,"kind":"instance","docLink":"./Init/Control/Except.html#ExceptT.instMonadLiftExceptExceptT","doc":""},"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"},"Except.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L17-L18","name":"Except.pure","line":17,"kind":"def","docLink":"./Init/Control/Except.html#Except.pure","doc":""},"Except.orElseLazy":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L60-L63","name":"Except.orElseLazy","line":60,"kind":"def","docLink":"./Init/Control/Except.html#Except.orElseLazy","doc":""},"Except.ok":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2849-L2850","name":"Except.ok","line":2849,"kind":"ctor","docLink":"./Init/Prelude.html#Except.ok","doc":"A success value of type `α` "},"Except.map_id":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L25-L28","name":"Except.map_id","line":25,"kind":"theorem","docLink":"./Init/Control/Except.html#Except.map_id","doc":""},"Except.mapError":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L31-L33","name":"Except.mapError","line":31,"kind":"def","docLink":"./Init/Control/Except.html#Except.mapError","doc":""},"Except.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L21-L23","name":"Except.map","line":21,"kind":"def","docLink":"./Init/Control/Except.html#Except.map","doc":""},"Except.isOk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L47-L47","name":"Except.isOk","line":47,"kind":"def","docLink":"./Init/Control/Except.html#Except.isOk","doc":""},"Except.instMonadExcept":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L66-L69","name":"Except.instMonadExcept","line":66,"kind":"instance","docLink":"./Init/Control/Except.html#Except.instMonadExcept","doc":""},"Except.error":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2847-L2848","name":"Except.error","line":2847,"kind":"ctor","docLink":"./Init/Prelude.html#Except.error","doc":"A failure value of type `ε` "},"Except.bind":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Except.lean#L36-L39","name":"Except.bind","line":36,"kind":"def","docLink":"./Init/Control/Except.html#Except.bind","doc":""},"Except":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2846-L2850","name":"Except","line":2846,"kind":"inductive","docLink":"./Init/Prelude.html#Except","doc":"`Except ε α` is a type which represents either an error of type `ε`, or an \"ok\"\nvalue of type `α`. The error type is listed first because\n`Except ε : Type → Type` is a `Monad`: the pure operation is `ok` and the bind\noperation returns the first encountered `error`.\n"},"Equivalence.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L921-L921","name":"Equivalence.trans","line":921,"kind":"def","docLink":"./Init/Core.html#Equivalence.trans","doc":"An equivalence relation is transitive: `x ~ y` and `y ~ z` implies `x ~ z` "},"Equivalence.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L919-L919","name":"Equivalence.symm","line":919,"kind":"def","docLink":"./Init/Core.html#Equivalence.symm","doc":"An equivalence relation is symmetric: `x ~ y` implies `y ~ x` "},"Equivalence.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L917-L917","name":"Equivalence.refl","line":917,"kind":"def","docLink":"./Init/Core.html#Equivalence.refl","doc":"An equivalence relation is reflexive: `x ~ x` "},"Equivalence.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L915-L915","name":"Equivalence.mk","line":915,"kind":"ctor","docLink":"./Init/Core.html#Equivalence.mk","doc":""},"Equivalence":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L915-L921","name":"Equivalence","line":915,"kind":"structure","docLink":"./Init/Core.html#Equivalence","doc":"An equivalence relation `~ : α → α → Prop` is a relation that is:\n\n* reflexive: `x ~ x`\n* symmetric: `x ~ y` implies `y ~ x`\n* transitive: `x ~ y` and `y ~ z` implies `x ~ z`\n\nEquality is an equivalence relation, and equivalence relations share many of\nthe properties of equality. In particular, `Quot α r` is most well behaved\nwhen `r` is an equivalence relation, and in this case we use `Quotient` instead.\n"},"Eq.trans":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L322-L323","name":"Eq.trans","line":322,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.trans","doc":"Equality is transitive: if `a = b` and `b = c` then `a = c`.\n\nBecause this is in the `Eq` namespace, if you have variables or expressions\n`h₁ : a = b` and `h₂ : b = c`, you can use `h₁.trans h₂ : a = c` as shorthand\nfor `Eq.trans h₁ h₂`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.symm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L310-L311","name":"Eq.symm","line":310,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.symm","doc":"Equality is symmetric: if `a = b` then `b = a`.\n\nBecause this is in the `Eq` namespace, if you have a variable `h : a = b`,\n`h.symm` can be used as shorthand for `Eq.symm h` as a proof of `b = a`.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.substr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L550-L551","name":"Eq.substr","line":550,"kind":"theorem","docLink":"./Init/Core.html#Eq.substr","doc":""},"Eq.subst":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L299-L300","name":"Eq.subst","line":299,"kind":"theorem","docLink":"./Init/Prelude.html#Eq.subst","doc":"The substitution principle for equality. If `a = b ` and `P a` holds,\nthen `P b` also holds. We conventionally use the name `motive` for `P` here,\nso that you can specify it explicitly using e.g.\n`Eq.subst (motive := fun x => x < 5)` if it is not otherwise inferred correctly.\n\nThis theorem is the underlying mechanism behind the `rw` tactic, which is\nessentially a fancy algorithm for finding good `motive` arguments to usefully\napply this theorem to replace occurrences of `a` with `b` in the goal or\nhypotheses.\n\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"Eq.refl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L264-L266","name":"Eq.refl","line":264,"kind":"ctor","docLink":"./Init/Prelude.html#Eq.refl","doc":"`Eq.refl a : a = a` is reflexivity, the unique constructor of the\nequality type. See also `rfl`, which is usually used instead. "},"Eq.propIntro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1144-L1145","name":"Eq.propIntro","line":1144,"kind":"theorem","docLink":"./Init/Core.html#Eq.propIntro","doc":""},"Eq.mpr_prop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L62-L62","name":"Eq.mpr_prop","line":62,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_prop","doc":""},"Eq.mpr_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L63-L63","name":"Eq.mpr_not","line":63,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Eq.mpr_not","doc":""},"Eq.mpr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L546-L547","name":"Eq.mpr","line":546,"kind":"def","docLink":"./Init/Core.html#Eq.mpr","doc":"If `h : α = β` is a proof of type equality, then `h.mpr : β → α` is the induced\n\"cast\" operation in the reverse direction, mapping elements of `β` to elements of `α`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mpr` is definitionally the identity function.\n"},"Eq.mp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L536-L537","name":"Eq.mp","line":536,"kind":"def","docLink":"./Init/Core.html#Eq.mp","doc":"If `h : α = β` is a proof of type equality, then `h.mp : α → β` is the induced\n\"cast\" operation, mapping elements of `α` to elements of `β`.\n\nYou can prove theorems about the resulting element by induction on `h`, since\n`rfl.mp` is definitionally the identity function.\n"},"Eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L263-L266","name":"Eq","line":263,"kind":"inductive","docLink":"./Init/Prelude.html#Eq","doc":"The equality relation. It has one introduction rule, `Eq.refl`.\nWe use `a = b` as notation for `Eq a b`.\nA fundamental property of equality is that it is an equivalence relation.\n```\nvariable (α : Type) (a b c d : α)\nvariable (hab : a = b) (hcb : c = b) (hcd : c = d)\n\nexample : a = d :=\n Eq.trans (Eq.trans hab (Eq.symm hcb)) hcd\n```\nEquality is much more than an equivalence relation, however. It has the important property that every assertion\nrespects the equivalence, in the sense that we can substitute equal expressions without changing the truth value.\nThat is, given `h1 : a = b` and `h2 : p a`, we can construct a proof for `p b` using substitution: `Eq.subst h1 h2`.\nExample:\n```\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n Eq.subst h1 h2\n\nexample (α : Type) (a b : α) (p : α → Prop)\n (h1 : a = b) (h2 : p a) : p b :=\n h1 ▸ h2\n```\nThe triangle in the second presentation is a macro built on top of `Eq.subst` and `Eq.symm`, and you can enter it by typing `\\t`.\nFor more information: [Equality](https://leanprover.github.io/theorem_proving_in_lean4/quantifiers_and_equality.html#equality)\n"},"EmptyCollection.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L346-L346","name":"EmptyCollection.mk","line":346,"kind":"ctor","docLink":"./Init/Core.html#EmptyCollection.mk","doc":""},"EmptyCollection.emptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L349-L349","name":"EmptyCollection.emptyCollection","line":349,"kind":"def","docLink":"./Init/Core.html#EmptyCollection.emptyCollection","doc":"`∅` or `{}` is the empty set or empty collection.\nIt is supported by the `EmptyCollection` typeclass. "},"EmptyCollection":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L346-L349","name":"EmptyCollection","line":346,"kind":"class","docLink":"./Init/Core.html#EmptyCollection","doc":"`EmptyCollection α` is the typeclass which supports the notation `∅`, also written as `{}`. "},"Empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L195-L195","name":"Empty","line":195,"kind":"inductive","docLink":"./Init/Prelude.html#Empty","doc":"The empty type. It has no constructors. The `Empty.rec`\neliminator expresses the fact that anything follows from the empty type.\n"},"EStateM.tryCatch":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3253-L3257","name":"EStateM.tryCatch","line":3253,"kind":"def","docLink":"./Init/Prelude.html#EStateM.tryCatch","doc":"Implementation of `tryCatch` for `EStateM` where the state is `Backtrackable`. "},"EStateM.throw":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3236-L3237","name":"EStateM.throw","line":3236,"kind":"def","docLink":"./Init/Prelude.html#EStateM.throw","doc":"The `throw` operation of the `EStateM` monad. "},"EStateM.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3220-L3221","name":"EStateM.set","line":3220,"kind":"def","docLink":"./Init/Prelude.html#EStateM.set","doc":"The `set` operation of the `EStateM` monad. "},"EStateM.seqRight":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3290-L3293","name":"EStateM.seqRight","line":3290,"kind":"def","docLink":"./Init/Prelude.html#EStateM.seqRight","doc":"The `seqRight` operation of the `EStateM` monad. "},"EStateM.run'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3323-L3326","name":"EStateM.run'","line":3323,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run'","doc":"Execute an `EStateM` on initial state `s` for the returned value `α`.\nIf the monadic action throws an exception, returns `none` instead.\n"},"EStateM.run":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3316-L3316","name":"EStateM.run","line":3316,"kind":"def","docLink":"./Init/Prelude.html#EStateM.run","doc":"Execute an `EStateM` on initial state `s` to get a `Result`. "},"EStateM.pure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3215-L3216","name":"EStateM.pure","line":3215,"kind":"def","docLink":"./Init/Prelude.html#EStateM.pure","doc":"The `pure` operation of the `EStateM` monad. "},"EStateM.orElse'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/EState.lean#L35-L42","name":"EStateM.orElse'","line":35,"kind":"def","docLink":"./Init/Control/EState.html#EStateM.orElse'","doc":"Alternative orElse operator that allows to select which exception should be used.\nThe default is to use the first exception since the standard `orElse` uses the second. "},"EStateM.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3261-L3265","name":"EStateM.orElse","line":3261,"kind":"def","docLink":"./Init/Prelude.html#EStateM.orElse","doc":"Implementation of `orElse` for `EStateM` where the state is `Backtrackable`. "},"EStateM.nonBacktrackable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3340-L3342","name":"EStateM.nonBacktrackable","line":3340,"kind":"instance","docLink":"./Init/Prelude.html#EStateM.nonBacktrackable","doc":"Dummy default instance. This makes every `σ` trivially \"backtrackable\"\nby doing nothing on backtrack. Because this is the first declared instance\nof `Backtrackable _ σ`, it will be picked only if there are no other\n`Backtrackable _ σ` instances registered.\n"},"EStateM.modifyGet":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3230-L3232","name":"EStateM.modifyGet","line":3230,"kind":"def","docLink":"./Init/Prelude.html#EStateM.modifyGet","doc":"The `modifyGet` operation of the `EStateM` monad. "},"EStateM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L3283-L3286","name":"EStateM.map","line":3283,"kind":"def","docLink":"./Init/Prelude.html#EStateM.map","doc":"The `map` operation of the `EStateM` monad. 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It is an optimization of\n`DoResultPRBC PEmpty PEmpty σ` to remove the impossible cases,\nused when neither `pure` nor `return` are possible exit paths.\n"},"Div.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1287-L1287","name":"Div.mk","line":1287,"kind":"ctor","docLink":"./Init/Prelude.html#Div.mk","doc":""},"Div.div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1289-L1289","name":"Div.div","line":1289,"kind":"def","docLink":"./Init/Prelude.html#Div.div","doc":"`a / b` computes the result of dividing `a` by `b`. See `HDiv`. "},"Div":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1287-L1289","name":"Div","line":1287,"kind":"class","docLink":"./Init/Prelude.html#Div","doc":"The homogeneous version of `HDiv`: `a / b : α` where `a b : α`. "},"DecidableRel":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L832-L833","name":"DecidableRel","line":832,"kind":"def","docLink":"./Init/Prelude.html#DecidableRel","doc":"A decidable relation. See `Decidable`. "},"DecidablePred":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L828-L829","name":"DecidablePred","line":828,"kind":"def","docLink":"./Init/Prelude.html#DecidablePred","doc":"A decidable predicate. See `Decidable`. "},"DecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L839-L840","name":"DecidableEq","line":839,"kind":"def","docLink":"./Init/Prelude.html#DecidableEq","doc":"Asserts that `α` has decidable equality, that is, `a = b` is decidable\nfor all `a b : α`. See `Decidable`.\n"},"Decidable.of_not_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L741-L742","name":"Decidable.of_not_not","line":741,"kind":"theorem","docLink":"./Init/Core.html#Decidable.of_not_not","doc":""},"Decidable.not_and_iff_or_not":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L744-L752","name":"Decidable.not_and_iff_or_not","line":744,"kind":"theorem","docLink":"./Init/Core.html#Decidable.not_and_iff_or_not","doc":""},"Decidable.isTrue":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L813-L814","name":"Decidable.isTrue","line":813,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isTrue","doc":"Prove that `p` is decidable by supplying a proof of `p` "},"Decidable.isFalse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L811-L812","name":"Decidable.isFalse","line":811,"kind":"ctor","docLink":"./Init/Prelude.html#Decidable.isFalse","doc":"Prove that `p` is decidable by supplying a proof of `¬p` "},"Decidable.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L734-L735","name":"Decidable.em","line":734,"kind":"theorem","docLink":"./Init/Core.html#Decidable.em","doc":""},"Decidable.decide":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L822-L823","name":"Decidable.decide","line":822,"kind":"def","docLink":"./Init/Prelude.html#Decidable.decide","doc":"Convert a decidable proposition into a boolean value.\n\nIf `p : Prop` is decidable, then `decide p : Bool` is the boolean value\nwhich is `true` if `p` is true and `false` if `p` is false.\n"},"Decidable.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L738-L739","name":"Decidable.byContradiction","line":738,"kind":"theorem","docLink":"./Init/Core.html#Decidable.byContradiction","doc":""},"Decidable.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L729-L732","name":"Decidable.byCases","line":729,"kind":"def","docLink":"./Init/Core.html#Decidable.byCases","doc":"Synonym for `dite` (dependent if-then-else). We can construct an element `q`\n(of any sort, not just a proposition) by cases on whether `p` is true or false,\nprovided `p` is decidable.\n"},"Decidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L810-L814","name":"Decidable","line":810,"kind":"class","docLink":"./Init/Prelude.html#Decidable","doc":"`Decidable p` is a data-carrying class that supplies a proof that `p` is\neither `true` or `false`. It is equivalent to `Bool` (and in fact it has the\nsame code generation as `Bool`) together with a proof that the `Bool` is\ntrue iff `p` is.\n\n`Decidable` instances are used to infer \"computation strategies\" for\npropositions, so that you can have the convenience of writing propositions\ninside `if` statements and executing them (which actually executes the inferred\ndecidability instance instead of the proposition, which has no code).\n\nIf a proposition `p` is `Decidable`, then `(by decide : p)` will prove it by\nevaluating the decidability instance to `isTrue h` and returning `h`.\n"},"Complement.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1350-L1350","name":"Complement.mk","line":1350,"kind":"ctor","docLink":"./Init/Prelude.html#Complement.mk","doc":""},"Complement.complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1352-L1352","name":"Complement.complement","line":1352,"kind":"def","docLink":"./Init/Prelude.html#Complement.complement","doc":"The implementation of `~~~a : α`. "},"Complement":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1350-L1352","name":"Complement","line":1350,"kind":"class","docLink":"./Init/Prelude.html#Complement","doc":"The typeclass behind the notation `~~~a : α` where `a : α`. "},"CoeTail.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L202-L202","name":"CoeTail.mk","line":202,"kind":"ctor","docLink":"./Init/Coe.html#CoeTail.mk","doc":""},"CoeTail.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L205-L205","name":"CoeTail.coe","line":205,"kind":"def","docLink":"./Init/Coe.html#CoeTail.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTail":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L202-L205","name":"CoeTail","line":202,"kind":"class","docLink":"./Init/Coe.html#CoeTail","doc":"`CoeTail α β` is for coercions that can only appear at the end of a\nsequence of coercions. That is, `α` can be further coerced via `Coe σ α` and\n`CoeHead τ σ` instances but `β` will only be the expected type of the expression.\n"},"CoeTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L136-L136","name":"CoeTC.mk","line":136,"kind":"ctor","docLink":"./Init/Coe.html#CoeTC.mk","doc":""},"CoeTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L139-L139","name":"CoeTC.coe","line":139,"kind":"def","docLink":"./Init/Coe.html#CoeTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L136-L139","name":"CoeTC","line":136,"kind":"class","docLink":"./Init/Coe.html#CoeTC","doc":"Auxiliary class implementing `Coe*`.\nUsers should generally not implement this directly.\n"},"CoeT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L244-L244","name":"CoeT.mk","line":244,"kind":"ctor","docLink":"./Init/Coe.html#CoeT.mk","doc":""},"CoeT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L248-L248","name":"CoeT.coe","line":248,"kind":"def","docLink":"./Init/Coe.html#CoeT.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L244-L248","name":"CoeT","line":244,"kind":"class","docLink":"./Init/Coe.html#CoeT","doc":"`CoeT` is the core typeclass which is invoked by Lean to resolve a type error.\nIt can also be triggered explicitly with the notation `↑x` or by double type\nascription `((x : α) : β)`.\n\nA `CoeT` chain has the grammar `CoeHead? CoeOut* Coe* CoeTail? | CoeDep`.\n"},"CoeSort.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L277-L277","name":"CoeSort.mk","line":277,"kind":"ctor","docLink":"./Init/Coe.html#CoeSort.mk","doc":""},"CoeSort.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L279-L279","name":"CoeSort.coe","line":279,"kind":"def","docLink":"./Init/Coe.html#CoeSort.coe","doc":"Coerces a value of type `α` to `β`, which must be a universe. "},"CoeSort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L277-L279","name":"CoeSort","line":277,"kind":"class","docLink":"./Init/Coe.html#CoeSort","doc":"`CoeSort α β` is a coercion to a sort. `β` must be a universe, and this is\ntriggered when `a : α` appears in a place where a type is expected, like\n`(x : a)` or `a → a`.\n`CoeSort` instances apply to `CoeOut` as well.\n"},"CoeOut.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L149-L149","name":"CoeOut.mk","line":149,"kind":"ctor","docLink":"./Init/Coe.html#CoeOut.mk","doc":""},"CoeOut.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L152-L152","name":"CoeOut.coe","line":152,"kind":"def","docLink":"./Init/Coe.html#CoeOut.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOut":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L149-L152","name":"CoeOut","line":149,"kind":"class","docLink":"./Init/Coe.html#CoeOut","doc":"`CoeOut α β` is for coercions that are applied from left-to-right.\n"},"CoeOTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L159-L159","name":"CoeOTC.mk","line":159,"kind":"ctor","docLink":"./Init/Coe.html#CoeOTC.mk","doc":""},"CoeOTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L162-L162","name":"CoeOTC.coe","line":162,"kind":"def","docLink":"./Init/Coe.html#CoeOTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeOTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L159-L162","name":"CoeOTC","line":159,"kind":"class","docLink":"./Init/Coe.html#CoeOTC","doc":"Auxiliary class implementing `CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeHead.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L177-L177","name":"CoeHead.mk","line":177,"kind":"ctor","docLink":"./Init/Coe.html#CoeHead.mk","doc":""},"CoeHead.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L180-L180","name":"CoeHead.coe","line":180,"kind":"def","docLink":"./Init/Coe.html#CoeHead.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHead":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L177-L180","name":"CoeHead","line":177,"kind":"class","docLink":"./Init/Coe.html#CoeHead","doc":"`CoeHead α β` is for coercions that are applied from left-to-right at most once\nat beginning of the coercion chain.\n"},"CoeHTCT.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L212-L212","name":"CoeHTCT.mk","line":212,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTCT.mk","doc":""},"CoeHTCT.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L215-L215","name":"CoeHTCT.coe","line":215,"kind":"def","docLink":"./Init/Coe.html#CoeHTCT.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTCT":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L212-L215","name":"CoeHTCT","line":212,"kind":"class","docLink":"./Init/Coe.html#CoeHTCT","doc":"Auxiliary class implementing `CoeHead* Coe* CoeTail?`.\nUsers should generally not implement this directly.\n"},"CoeHTC.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L187-L187","name":"CoeHTC.mk","line":187,"kind":"ctor","docLink":"./Init/Coe.html#CoeHTC.mk","doc":""},"CoeHTC.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L190-L190","name":"CoeHTC.coe","line":190,"kind":"def","docLink":"./Init/Coe.html#CoeHTC.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"CoeHTC":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L187-L190","name":"CoeHTC","line":187,"kind":"class","docLink":"./Init/Coe.html#CoeHTC","doc":"Auxiliary class implementing `CoeHead CoeOut* Coe*`.\nUsers should generally not implement this directly.\n"},"CoeFun.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L262-L262","name":"CoeFun.mk","line":262,"kind":"ctor","docLink":"./Init/Coe.html#CoeFun.mk","doc":""},"CoeFun.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L266-L266","name":"CoeFun.coe","line":266,"kind":"def","docLink":"./Init/Coe.html#CoeFun.coe","doc":"Coerces a value `f : α` to type `γ f`, which should be either be a\nfunction type or another `CoeFun` type, in order to resolve a mistyped\napplication `f x`. "},"CoeFun":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L262-L266","name":"CoeFun","line":262,"kind":"class","docLink":"./Init/Coe.html#CoeFun","doc":"`CoeFun α (γ : α → Sort v)` is a coercion to a function. `γ a` should be a\n(coercion-to-)function type, and this is triggered whenever an element\n`f : α` appears in an application like `f x`, which would not make sense since\n`f` does not have a function type.\n`CoeFun` instances apply to `CoeOut` as well.\n"},"CoeDep.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L230-L230","name":"CoeDep.mk","line":230,"kind":"ctor","docLink":"./Init/Coe.html#CoeDep.mk","doc":""},"CoeDep.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L234-L234","name":"CoeDep.coe","line":234,"kind":"def","docLink":"./Init/Coe.html#CoeDep.coe","doc":"The resulting value of type `β`. The input `x : α` is a parameter to\nthe type class, so the value of type `β` may possibly depend on additional\ntypeclasses on `x`. "},"CoeDep":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L230-L234","name":"CoeDep","line":230,"kind":"class","docLink":"./Init/Coe.html#CoeDep","doc":"`CoeDep α (x : α) β` is a typeclass for dependent coercions, that is, the type `β`\ncan depend on `x` (or rather, the value of `x` is available to typeclass search\nso an instance that relates `β` to `x` is allowed).\n\nDependent coercions do not participate in the transitive chaining process of\nregular coercions: they must exactly match the type mismatch on both sides.\n"},"Coe.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L126-L126","name":"Coe.mk","line":126,"kind":"ctor","docLink":"./Init/Coe.html#Coe.mk","doc":""},"Coe.coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L129-L129","name":"Coe.coe","line":129,"kind":"def","docLink":"./Init/Coe.html#Coe.coe","doc":"Coerces a value of type `α` to type `β`. Accessible by the notation `↑x`,\nor by double type ascription `((x : α) : β)`. "},"Coe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Coe.lean#L126-L129","name":"Coe","line":126,"kind":"class","docLink":"./Init/Coe.html#Coe","doc":"`Coe α β` is the typeclass for coercions from `α` to `β`. It can be transitively\nchained with other `Coe` instances, and coercion is automatically used when\n`x` has type `α` but it is used in a context where `β` is expected.\nYou can use the `↑x` operator to explicitly trigger coercion.\n"},"Classical.«tacticBy_cases_:_»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L126-L129","name":"Classical.«tacticBy_cases_:_»","line":126,"kind":"def","docLink":"./Init/Classical.html#Classical.«tacticBy_cases_:_»","doc":"`by_cases (h :)? p` splits the main goal into two cases, assuming `h : p` in the first branch, and `h : ¬ p` in the second branch.\n"},"Classical.typeDecidableEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L77-L78","name":"Classical.typeDecidableEq","line":77,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidableEq","doc":""},"Classical.typeDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L80-L83","name":"Classical.typeDecidable","line":80,"kind":"def","docLink":"./Init/Classical.html#Classical.typeDecidable","doc":""},"Classical.strongIndefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L85-L91","name":"Classical.strongIndefiniteDescription","line":85,"kind":"def","docLink":"./Init/Classical.html#Classical.strongIndefiniteDescription","doc":""},"Classical.skolem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L110-L111","name":"Classical.skolem","line":110,"kind":"theorem","docLink":"./Init/Classical.html#Classical.skolem","doc":""},"Classical.propDecidable":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L69-L72","name":"Classical.propDecidable","line":69,"kind":"def","docLink":"./Init/Classical.html#Classical.propDecidable","doc":"All propositions are `Decidable`. "},"Classical.propComplete":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L113-L116","name":"Classical.propComplete","line":113,"kind":"theorem","docLink":"./Init/Classical.html#Classical.propComplete","doc":""},"Classical.ofNonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L731-L732","name":"Classical.ofNonempty","line":731,"kind":"def","docLink":"./Init/Prelude.html#Classical.ofNonempty","doc":"A variation on `Classical.choice` that uses typeclass inference to\ninfer the proof of `Nonempty α`.\n"},"Classical.inhabited_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L62-L63","name":"Classical.inhabited_of_nonempty","line":62,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_nonempty","doc":""},"Classical.inhabited_of_exists":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L65-L66","name":"Classical.inhabited_of_exists","line":65,"kind":"def","docLink":"./Init/Classical.html#Classical.inhabited_of_exists","doc":""},"Classical.indefiniteDescription":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L16-L17","name":"Classical.indefiniteDescription","line":16,"kind":"def","docLink":"./Init/Classical.html#Classical.indefiniteDescription","doc":""},"Classical.exists_true_of_nonempty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L59-L60","name":"Classical.exists_true_of_nonempty","line":59,"kind":"theorem","docLink":"./Init/Classical.html#Classical.exists_true_of_nonempty","doc":""},"Classical.epsilon_spec_aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L97-L98","name":"Classical.epsilon_spec_aux","line":97,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec_aux","doc":""},"Classical.epsilon_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L100-L101","name":"Classical.epsilon_spec","line":100,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_spec","doc":""},"Classical.epsilon_singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L103-L104","name":"Classical.epsilon_singleton","line":103,"kind":"theorem","docLink":"./Init/Classical.html#Classical.epsilon_singleton","doc":""},"Classical.epsilon":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L94-L95","name":"Classical.epsilon","line":94,"kind":"def","docLink":"./Init/Classical.html#Classical.epsilon","doc":"the Hilbert epsilon Function "},"Classical.em":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L26-L57","name":"Classical.em","line":26,"kind":"theorem","docLink":"./Init/Classical.html#Classical.em","doc":"Diaconescu's theorem: excluded middle from choice, Function extensionality and propositional extensionality. "},"Classical.decidableInhabited":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L74-L75","name":"Classical.decidableInhabited","line":74,"kind":"def","docLink":"./Init/Classical.html#Classical.decidableInhabited","doc":""},"Classical.choose_spec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L22-L23","name":"Classical.choose_spec","line":22,"kind":"theorem","docLink":"./Init/Classical.html#Classical.choose_spec","doc":""},"Classical.choose":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L19-L20","name":"Classical.choose","line":19,"kind":"def","docLink":"./Init/Classical.html#Classical.choose","doc":""},"Classical.choice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L712-L712","name":"Classical.choice","line":712,"kind":"axiom","docLink":"./Init/Prelude.html#Classical.choice","doc":"**The axiom of choice**. `Nonempty α` is a proof that `α` has an element,\nbut the element itself is erased. The axiom `choice` supplies a particular\nelement of `α` given only this proof.\n\nThe textbook axiom of choice normally makes a family of choices all at once,\nbut that is implied from this formulation, because if `α : ι → Type` is a\nfamily of types and `h : ∀ i, Nonempty (α i)` is a proof that they are all\nnonempty, then `fun i => Classical.choice (h i) : ∀ i, α i` is a family of\nchosen elements. This is actually a bit stronger than the ZFC choice axiom;\nthis is sometimes called \"[global choice](https://en.wikipedia.org/wiki/Axiom_of_global_choice)\".\n\nIn lean, we use the axiom of choice to derive the law of excluded middle\n(see `Classical.em`), so it will often show up in axiom listings where you\nmay not expect. You can use `#print axioms my_thm` to find out if a given\ntheorem depends on this or other axioms.\n\nThis axiom can be used to construct \"data\", but obviously there is no algorithm\nto compute it, so lean will require you to mark any definition that would\ninvolve executing `Classical.choice` or other axioms as `noncomputable`, and\nwill not produce any executable code for such definitions.\n"},"Classical.byContradiction":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L123-L124","name":"Classical.byContradiction","line":123,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byContradiction","doc":""},"Classical.byCases":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L119-L120","name":"Classical.byCases","line":119,"kind":"theorem","docLink":"./Init/Classical.html#Classical.byCases","doc":""},"Classical.axiomOfChoice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Classical.lean#L107-L108","name":"Classical.axiomOfChoice","line":107,"kind":"theorem","docLink":"./Init/Classical.html#Classical.axiomOfChoice","doc":"the axiom of choice "},"Char.valid":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2057-L2057","name":"Char.valid","line":2057,"kind":"def","docLink":"./Init/Prelude.html#Char.valid","doc":"The value must be a legal codepoint. "},"Char.val_ne_of_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2091-L2092","name":"Char.val_ne_of_ne","line":2091,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_ne_of_ne","doc":""},"Char.val_eq_of_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2085-L2086","name":"Char.val_eq_of_eq","line":2085,"kind":"theorem","docLink":"./Init/Prelude.html#Char.val_eq_of_eq","doc":""},"Char.val":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2055-L2055","name":"Char.val","line":2055,"kind":"def","docLink":"./Init/Prelude.html#Char.val","doc":"The underlying unicode scalar value as a `UInt32`. "},"Char.utf8Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2101-L2109","name":"Char.utf8Size","line":2101,"kind":"def","docLink":"./Init/Prelude.html#Char.utf8Size","doc":"Returns the number of bytes required to encode this `Char` in UTF-8. "},"Char.utf16Size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/Lsp/Utf16.lean#L17-L18","name":"Char.utf16Size","line":17,"kind":"def","docLink":"./Lean/Data/Lsp/Utf16.html#Char.utf16Size","doc":""},"Char.toUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L94-L96","name":"Char.toUpper","line":94,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toUpper","doc":"Convert a lower case character to its upper case character.\n\nOnly works on basic latin letters.\n"},"Char.toString":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/String/Basic.lean#L765-L766","name":"Char.toString","line":765,"kind":"def","docLink":"./Init/Data/String/Basic.html#Char.toString","doc":""},"Char.toNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L52-L53","name":"Char.toNat","line":52,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toNat","doc":"Underlying unicode code point as a `Nat`. "},"Char.toLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L86-L88","name":"Char.toLower","line":86,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.toLower","doc":"Convert an upper case character to its lower case character.\n\nOnly works on basic latin letters.\n"},"Char.sizeOf":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SizeOfLemmas.lean#L29-L30","name":"Char.sizeOf","line":29,"kind":"theorem","docLink":"./Init/SizeOfLemmas.html#Char.sizeOf","doc":""},"Char.repr":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L200-L201","name":"Char.repr","line":200,"kind":"def","docLink":"./Init/Data/Repr.html#Char.repr","doc":""},"Char.quoteCore.smallCharToHex":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L188-L192","name":"Char.quoteCore.smallCharToHex","line":188,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore.smallCharToHex","doc":""},"Char.quoteCore":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L180-L192","name":"Char.quoteCore","line":180,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quoteCore","doc":""},"Char.quote":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Repr.lean#L194-L195","name":"Char.quote","line":194,"kind":"def","docLink":"./Init/Data/Repr.html#Char.quote","doc":""},"Char.ofNatAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2069-L2070","name":"Char.ofNatAux","line":2069,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNatAux","doc":"Pack a `Nat` encoding a valid codepoint into a `Char`.\nThis function is overridden with a native implementation.\n"},"Char.ofNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2077-L2080","name":"Char.ofNat","line":2077,"kind":"def","docLink":"./Init/Prelude.html#Char.ofNat","doc":"Convert a `Nat` into a `Char`. If the `Nat` does not encode a valid unicode scalar value,\n`'\\0'` is returned instead.\n"},"Char.ne_of_val_ne":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2088-L2089","name":"Char.ne_of_val_ne","line":2088,"kind":"theorem","docLink":"./Init/Prelude.html#Char.ne_of_val_ne","doc":""},"Char.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1-L1","name":"Char.mk","line":1,"kind":"ctor","docLink":"./Init/Prelude.html#Char.mk","doc":""},"Char.lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L18-L18","name":"Char.lt","line":18,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.lt","doc":""},"Char.le":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L19-L19","name":"Char.le","line":19,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.le","doc":""},"Char.isWhitespace":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L59-L60","name":"Char.isWhitespace","line":59,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isWhitespace","doc":"Is the character a space (U+0020) a tab (U+0009), a carriage return (U+000D) or a newline (U+000A)? "},"Char.isValidUInt32":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L34-L41","name":"Char.isValidUInt32","line":34,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidUInt32","doc":""},"Char.isValidChar_zero":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L48-L49","name":"Char.isValidChar_zero","line":48,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_zero","doc":""},"Char.isValidChar_of_isValidChar_Nat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L43-L46","name":"Char.isValidChar_of_isValidChar_Nat","line":43,"kind":"theorem","docLink":"./Init/Data/Char/Basic.html#Char.isValidChar_of_isValidChar_Nat","doc":""},"Char.isValidCharNat":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L31-L32","name":"Char.isValidCharNat","line":31,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isValidCharNat","doc":"Determines if the given nat is a valid [Unicode scalar value](https://www.unicode.org/glossary/#unicode_scalar_value)."},"Char.isUpper":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L63-L64","name":"Char.isUpper","line":63,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isUpper","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZ`? "},"Char.isLower":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L67-L68","name":"Char.isLower","line":67,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isLower","doc":"Is the character in `abcdefghijklmnopqrstuvwxyz`? "},"Char.isDigit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L75-L76","name":"Char.isDigit","line":75,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isDigit","doc":"Is the character in `0123456789`? "},"Char.isAlphanum":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L79-L80","name":"Char.isAlphanum","line":79,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlphanum","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789`? "},"Char.isAlpha":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L71-L72","name":"Char.isAlpha","line":71,"kind":"def","docLink":"./Init/Data/Char/Basic.html#Char.isAlpha","doc":"Is the character in `ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz`? "},"Char.instLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L21-L21","name":"Char.instLTChar","line":21,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLTChar","doc":""},"Char.instLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L22-L22","name":"Char.instLEChar","line":22,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instLEChar","doc":""},"Char.instInhabitedChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L55-L56","name":"Char.instInhabitedChar","line":55,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instInhabitedChar","doc":""},"Char.instDecidableLtCharInstLTChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L24-L25","name":"Char.instDecidableLtCharInstLTChar","line":24,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLtCharInstLTChar","doc":""},"Char.instDecidableLeCharInstLEChar":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Char/Basic.lean#L27-L28","name":"Char.instDecidableLeCharInstLEChar","line":27,"kind":"instance","docLink":"./Init/Data/Char/Basic.html#Char.instDecidableLeCharInstLEChar","doc":""},"Char.eq_of_val_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2082-L2083","name":"Char.eq_of_val_eq","line":2082,"kind":"theorem","docLink":"./Init/Prelude.html#Char.eq_of_val_eq","doc":""},"Char":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2053-L2057","name":"Char","line":2053,"kind":"structure","docLink":"./Init/Prelude.html#Char","doc":"The `Char` Type represents an unicode scalar value.\nSee http://www.unicode.org/glossary/#unicode_scalar_value). "},"ByteArray.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L67-L68","name":"ByteArray.uset","line":67,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uset","doc":""},"ByteArray.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L41-L42","name":"ByteArray.uget","line":41,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.uget","doc":""},"ByteArray.toUInt64LE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L197-L206","name":"ByteArray.toUInt64LE!","line":197,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64LE!","doc":"Interpret a `ByteArray` of size 8 as a little-endian `UInt64`. "},"ByteArray.toUInt64BE!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L209-L218","name":"ByteArray.toUInt64BE!","line":209,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.toUInt64BE!","doc":"Interpret a `ByteArray` of size 8 as a big-endian `UInt64`. 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"},"ByteArray.foldlMUnsafe.fold":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L151-L155","name":"ByteArray.foldlMUnsafe.fold","line":151,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe.fold","doc":""},"ByteArray.foldlMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L150-L162","name":"ByteArray.foldlMUnsafe","line":150,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlMUnsafe","doc":"See comment at `forInUnsafe` "},"ByteArray.foldlM.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L168-L175","name":"ByteArray.foldlM.loop","line":168,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM.loop","doc":""},"ByteArray.foldlM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L166-L180","name":"ByteArray.foldlM","line":166,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldlM","doc":"Reference implementation for `foldlM` "},"ByteArray.foldl":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L183-L184","name":"ByteArray.foldl","line":183,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.foldl","doc":""},"ByteArray.findIdx?.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L104-L108","name":"ByteArray.findIdx?.loop","line":104,"kind":"opaque","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?.loop","doc":""},"ByteArray.findIdx?":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L103-L109","name":"ByteArray.findIdx?","line":103,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.findIdx?","doc":""},"ByteArray.extract":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L86-L87","name":"ByteArray.extract","line":86,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.extract","doc":""},"ByteArray.empty":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L24-L24","name":"ByteArray.empty","line":24,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.empty","doc":""},"ByteArray.data":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L14-L14","name":"ByteArray.data","line":14,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.data","doc":""},"ByteArray.copySlice":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/ByteArray/Basic.lean#L83-L84","name":"ByteArray.copySlice","line":83,"kind":"def","docLink":"./Init/Data/ByteArray/Basic.html#ByteArray.copySlice","doc":"Copy 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"},"Bool.decEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L871-L876","name":"Bool.decEq","line":871,"kind":"def","docLink":"./Init/Prelude.html#Bool.decEq","doc":"Decidable equality for Bool "},"Bool.beq_to_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L131-L132","name":"Bool.beq_to_eq","line":131,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.beq_to_eq","doc":""},"Bool.and_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L111-L111","name":"Bool.and_true","line":111,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_true","doc":""},"Bool.and_self":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L114-L114","name":"Bool.and_self","line":114,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_self","doc":""},"Bool.and_false":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L110-L110","name":"Bool.and_false","line":110,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_false","doc":""},"Bool.and_eq_true":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L115-L116","name":"Bool.and_eq_true","line":115,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_eq_true","doc":""},"Bool.and_assoc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/SimpLemmas.lean#L118-L119","name":"Bool.and_assoc","line":118,"kind":"theorem","docLink":"./Init/SimpLemmas.html#Bool.and_assoc","doc":""},"Bool":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L545-L549","name":"Bool","line":545,"kind":"inductive","docLink":"./Init/Prelude.html#Bool","doc":"`Bool` is the type of boolean values, `true` and `false`. Classically,\nthis is equivalent to `Prop` (the type of propositions), but the distinction\nis important for programming, because values of type `Prop` are erased in the\ncode generator, while `Bool` corresponds to the type called `bool` or `boolean`\nin most programming 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This instruction always performs an unsigned division to get the remainder.\nNote that unsigned integer remainder and signed integer remainder are distinct operations; for signed integer remainder, use ‘srem’.\nTaking the remainder of a division by zero is undefined behavior. \n"},"Bitvec.ult":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L577-L577","name":"Bitvec.ult","line":577,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ult","doc":""},"Bitvec.ule":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L578-L578","name":"Bitvec.ule","line":578,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ule","doc":""},"Bitvec.ugt":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L579-L579","name":"Bitvec.ugt","line":579,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.ugt","doc":""},"Bitvec.uge":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L580-L580","name":"Bitvec.uge","line":580,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.uge","doc":""},"Bitvec.udiv?":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L307-L310","name":"Bitvec.udiv?","line":307,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.udiv?","doc":"The value produced is the unsigned integer quotient of the two operands.\nNote that unsigned integer division and signed integer division are distinct operations; for signed integer division, use ‘sdiv’.\nDivision by zero is undefined behavior.\n"},"Bitvec.toZMod_zsmul":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L268-L271","name":"Bitvec.toZMod_zsmul","line":268,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zsmul","doc":""},"Bitvec.toZMod_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L167-L168","name":"Bitvec.toZMod_zero","line":167,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_zero","doc":""},"Bitvec.toZMod_val":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L69-L71","name":"Bitvec.toZMod_val","line":69,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_val","doc":""},"Bitvec.toZMod_sub":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L237-L238","name":"Bitvec.toZMod_sub","line":237,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sub","doc":""},"Bitvec.toZMod_sbb":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L228-L235","name":"Bitvec.toZMod_sbb","line":228,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_sbb","doc":""},"Bitvec.toZMod_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L188-L189","name":"Bitvec.toZMod_one","line":188,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_one","doc":""},"Bitvec.toZMod_ofZMod":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L76-L78","name":"Bitvec.toZMod_ofZMod","line":76,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_ofZMod","doc":""},"Bitvec.toZMod_nsmul":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L200-L203","name":"Bitvec.toZMod_nsmul","line":200,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_nsmul","doc":""},"Bitvec.toZMod_neg":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L253-L261","name":"Bitvec.toZMod_neg","line":253,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_neg","doc":""},"Bitvec.toZMod_add":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L146-L148","name":"Bitvec.toZMod_add","line":146,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod_add","doc":""},"Bitvec.toZMod":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L66-L67","name":"Bitvec.toZMod","line":66,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toZMod","doc":""},"Bitvec.toNat_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L159-L161","name":"Bitvec.toNat_zero","line":159,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_zero","doc":""},"Bitvec.toNat_tail":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L130-L138","name":"Bitvec.toNat_tail","line":130,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_tail","doc":""},"Bitvec.toNat_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L176-L185","name":"Bitvec.toNat_one","line":176,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_one","doc":""},"Bitvec.toNat_add":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L141-L143","name":"Bitvec.toNat_add","line":141,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_add","doc":""},"Bitvec.toNat_adc_aux":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L104-L121","name":"Bitvec.toNat_adc_aux","line":104,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc_aux","doc":""},"Bitvec.toNat_adc":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L123-L128","name":"Bitvec.toNat_adc","line":123,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toNat_adc","doc":""},"Bitvec.toList_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L156-L156","name":"Bitvec.toList_zero","line":156,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_zero","doc":""},"Bitvec.toList_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L174-L174","name":"Bitvec.toList_one","line":174,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_one","doc":""},"Bitvec.toList_cong":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L382-L383","name":"Bitvec.toList_cong","line":382,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toList_cong","doc":""},"Bitvec.toInt_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L523-L529","name":"Bitvec.toInt_zero","line":523,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_zero","doc":""},"Bitvec.toInt_sub_aux":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L205-L224","name":"Bitvec.toInt_sub_aux","line":205,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_sub_aux","doc":""},"Bitvec.toInt_one":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L535-L539","name":"Bitvec.toInt_one","line":535,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_one","doc":""},"Bitvec.toInt_neg_aux":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L240-L251","name":"Bitvec.toInt_neg_aux","line":240,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_neg_aux","doc":""},"Bitvec.toInt_injective":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L507-L521","name":"Bitvec.toInt_injective","line":507,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_injective","doc":""},"Bitvec.toInt_eq_zero":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L532-L533","name":"Bitvec.toInt_eq_zero","line":532,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toInt_eq_zero","doc":""},"Bitvec.toFun":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L38-L39","name":"Bitvec.toFun","line":38,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toFun","doc":"convert `Fin n → Bool` to `Bitvec n` "},"Bitvec.toBool_ofBool":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L564-L564","name":"Bitvec.toBool_ofBool","line":564,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool_ofBool","doc":""},"Bitvec.toBool":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L560-L561","name":"Bitvec.toBool","line":560,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.toBool","doc":""},"Bitvec.srem?":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L357-L364","name":"Bitvec.srem?","line":357,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.srem?","doc":"This instruction returns the remainder of a division (where the result is either zero or has the same sign as the dividend, op1), \nnot the modulo operator (where the result is either zero or has the same sign as the divisor, op2) of a value.\nFor more information about the difference, see The Math Forum.\nFor a table of how this is implemented in various languages, please see Wikipedia: modulo operation.\nNote that signed integer remainder and unsigned integer remainder are distinct operations; for unsigned integer remainder, use ‘urem’.\nTaking the remainder of a division by zero is undefined behavior.\nFor vectors, if any element of the divisor is zero, the operation has undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example,\nby taking the remainder of a 32-bit division of -2147483648 by -1.\n(The remainder doesn’t actually overflow, but this rule lets srem be implemented using instructions that return both the result\nof the division and the remainder.)\n"},"Bitvec.some_add?_eq_add":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L283-L283","name":"Bitvec.some_add?_eq_add","line":283,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.some_add?_eq_add","doc":""},"Bitvec.slt":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L587-L587","name":"Bitvec.slt","line":587,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.slt","doc":""},"Bitvec.sle":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L588-L588","name":"Bitvec.sle","line":588,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sle","doc":""},"Bitvec.shl_ushr_eq_and_shl":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L454-L465","name":"Bitvec.shl_ushr_eq_and_shl","line":454,"kind":"theorem","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.shl_ushr_eq_and_shl","doc":""},"Bitvec.sgt":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L589-L589","name":"Bitvec.sgt","line":589,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sgt","doc":""},"Bitvec.sge":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L590-L590","name":"Bitvec.sge","line":590,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sge","doc":""},"Bitvec.select":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L369-L370","name":"Bitvec.select","line":369,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.select","doc":"If the condition is an i1 and it evaluates to 1, the instruction returns the first value argument; otherwise, it returns the second value argument.\n"},"Bitvec.sdiv?":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/InstCombine/ForMathlib.lean#L318-L325","name":"Bitvec.sdiv?","line":318,"kind":"def","docLink":"./SSA/Projects/InstCombine/ForMathlib.html#Bitvec.sdiv?","doc":"The value produced is the signed integer quotient of the two operands rounded towards zero.\nNote that signed integer division and unsigned integer division are distinct operations; for unsigned integer division, use ‘udiv’.\nDivision by zero is undefined behavior.\nOverflow also leads to undefined behavior; this is a rare case, but can occur, for example, by doing a 32-bit division of -2147483648 by 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"},"BaseType.toType":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L99-L102","name":"BaseType.toType","line":99,"kind":"def","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.toType","doc":""},"BaseType.tensor2d":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L96-L96","name":"BaseType.tensor2d","line":96,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.tensor2d","doc":""},"BaseType.ix":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L95-L95","name":"BaseType.ix","line":95,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.ix","doc":""},"BaseType.int":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L94-L94","name":"BaseType.int","line":94,"kind":"ctor","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType.int","doc":""},"BaseType":{"sourceLink":"https://github.com/opencompl/ssa/blob/96c1bdb846ffd4849b36168c5a1efd9718464615/SSA/Projects/Tensor2D/Tensor2D.lean#L93-L97","name":"BaseType","line":93,"kind":"inductive","docLink":"./SSA/Projects/Tensor2D/Tensor2D.html#BaseType","doc":""},"BaseIO.toIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L68-L69","name":"BaseIO.toIO","line":68,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toIO","doc":""},"BaseIO.toEIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L47-L49","name":"BaseIO.toEIO","line":47,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.toEIO","doc":""},"BaseIO.mapTasks.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L131-L134","name":"BaseIO.mapTasks.go","line":131,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks.go","doc":""},"BaseIO.mapTasks":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L128-L134","name":"BaseIO.mapTasks","line":128,"kind":"def","docLink":"./Init/System/IO.html#BaseIO.mapTasks","doc":""},"BaseIO.mapTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L120-L121","name":"BaseIO.mapTask","line":120,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.mapTask","doc":"See `BaseIO.asTask`. "},"BaseIO.bindTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L125-L126","name":"BaseIO.bindTask","line":125,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.bindTask","doc":"See `BaseIO.asTask`. "},"BaseIO.asTask":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L115-L116","name":"BaseIO.asTask","line":115,"kind":"opaque","docLink":"./Init/System/IO.html#BaseIO.asTask","doc":"Run `act` in a separate `Task`.\nThis is similar to Haskell's [`unsafeInterleaveIO`](http://hackage.haskell.org/package/base-4.14.0.0/docs/System-IO-Unsafe.html#v:unsafeInterleaveIO),\nexcept that the `Task` is started eagerly as usual. Thus pure accesses to the `Task` do not influence the impure `act`\ncomputation.\nUnlike with pure tasks created by `Task.spawn`, tasks created by this function will be run even if the last reference\nto the task is dropped. The `act` should manually check for cancellation via `IO.checkCanceled` if it wants to react\nto that. "},"BaseIO":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/System/IO.lean#L41-L41","name":"BaseIO","line":41,"kind":"def","docLink":"./Init/System/IO.html#BaseIO","doc":"An `EIO` monad that cannot throw exceptions. "},"BEq.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L889-L889","name":"BEq.mk","line":889,"kind":"ctor","docLink":"./Init/Prelude.html#BEq.mk","doc":""},"BEq.beq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L891-L891","name":"BEq.beq","line":891,"kind":"def","docLink":"./Init/Prelude.html#BEq.beq","doc":"Boolean equality, notated as `a == b`. "},"BEq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L889-L891","name":"BEq","line":889,"kind":"class","docLink":"./Init/Prelude.html#BEq","doc":"`BEq α` is a typeclass for supplying a boolean-valued equality relation on\n`α`, notated as `a == b`. Unlike `DecidableEq α` (which uses `a = b`), this\nis `Bool` valued instead of `Prop` valued, and it also does not have any\naxioms like being reflexive or agreeing with `=`. It is mainly intended for\nprogramming applications. See `LawfulBEq` for a version that requires that\n`==` and `=` coincide.\n"},"Array.«term__[_:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L154-L154","name":"Array.«term__[_:_]»","line":154,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:_]»","doc":""},"Array.«term__[_:]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L155-L155","name":"Array.«term__[_:]»","line":155,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[_:]»","doc":""},"Array.«term__[:_]»":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L156-L156","name":"Array.«term__[:_]»","line":156,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.«term__[:_]»","doc":""},"Array.zipWithAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L804-L814","name":"Array.zipWithAux","line":804,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWithAux","doc":""},"Array.zipWith":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L816-L817","name":"Array.zipWith","line":816,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zipWith","doc":""},"Array.zip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L819-L820","name":"Array.zip","line":819,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.zip","doc":""},"Array.uset":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L71-L72","name":"Array.uset","line":71,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uset","doc":"Low-level version of `fset` which is as fast as a C array fset.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fset` may be slightly slower than `uset`. "},"Array.unzip":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L822-L823","name":"Array.unzip","line":822,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.unzip","doc":""},"Array.uget":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L41-L42","name":"Array.uget","line":41,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.uget","doc":"Low-level version of `fget` which is as fast as a C array read.\n`Fin` values are represented as tag pointers in the Lean runtime. Thus,\n`fget` may be slightly slower than `uget`. "},"Array.toSubarray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Subarray.lean#L134-L144","name":"Array.toSubarray","line":134,"kind":"def","docLink":"./Init/Data/Array/Subarray.html#Array.toSubarray","doc":""},"Array.toPArray'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Lean/Data/PersistentArray.lean#L383-L384","name":"Array.toPArray'","line":383,"kind":"def","docLink":"./Lean/Data/PersistentArray.html#Array.toPArray'","doc":""},"Array.toListLitAux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L736-L738","name":"Array.toListLitAux","line":736,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toListLitAux","doc":""},"Array.toList":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L471-L472","name":"Array.toList","line":471,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toList","doc":""},"Array.toArrayLit_eq.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L764-L765","name":"Array.toArrayLit_eq.go","line":764,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.go","doc":""},"Array.toArrayLit_eq.getLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L761-L762","name":"Array.toArrayLit_eq.getLit_eq","line":761,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq.getLit_eq","doc":""},"Array.toArrayLit_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L752-L765","name":"Array.toArrayLit_eq","line":752,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit_eq","doc":""},"Array.toArrayLit":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L740-L741","name":"Array.toArrayLit","line":740,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.toArrayLit","doc":""},"Array.toArrayAux_eq":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L746-L747","name":"Array.toArrayAux_eq","line":746,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.toArrayAux_eq","doc":""},"Array.takeWhile.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L671-L679","name":"Array.takeWhile.go","line":671,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile.go","doc":""},"Array.takeWhile":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L670-L681","name":"Array.takeWhile","line":670,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.takeWhile","doc":""},"Array.tacticArray_get_dec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L53-L56","name":"Array.tacticArray_get_dec","line":53,"kind":"def","docLink":"./Init/Data/Array/Mem.html#Array.tacticArray_get_dec","doc":"This tactic, added to the `decreasing_trivial` toolbox, proves that\n`sizeOf arr[i] < sizeOf arr`, which is useful for well founded recursions\nover a nested inductive like `inductive T | mk : Array T → T`. "},"Array.swapAt!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L94-L99","name":"Array.swapAt!","line":94,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt!","doc":""},"Array.swapAt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L88-L91","name":"Array.swapAt","line":88,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swapAt","doc":""},"Array.swap!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L82-L86","name":"Array.swap!","line":82,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap!","doc":""},"Array.swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L75-L79","name":"Array.swap","line":75,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.swap","doc":""},"Array.split":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L825-L827","name":"Array.split","line":825,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.split","doc":""},"Array.size_swap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L631-L633","name":"Array.size_swap","line":631,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_swap","doc":""},"Array.size_set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L61-L62","name":"Array.size_set","line":61,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_set","doc":""},"Array.size_push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L64-L65","name":"Array.size_push","line":64,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_push","doc":""},"Array.size_pop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L635-L638","name":"Array.size_pop","line":635,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_pop","doc":""},"Array.size_mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L24-L25","name":"Array.size_mkArray","line":24,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.size_mkArray","doc":""},"Array.sizeOf_lt_of_mem.aux":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L34-L40","name":"Array.sizeOf_lt_of_mem.aux","line":34,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem.aux","doc":""},"Array.sizeOf_lt_of_mem":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L32-L42","name":"Array.sizeOf_lt_of_mem","line":32,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_lt_of_mem","doc":""},"Array.sizeOf_get_lt":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L26-L30","name":"Array.sizeOf_get_lt","line":26,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get_lt","doc":""},"Array.sizeOf_get":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Mem.lean#L44-L48","name":"Array.sizeOf_get","line":44,"kind":"theorem","docLink":"./Init/Data/Array/Mem.html#Array.sizeOf_get","doc":""},"Array.size":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2516-L2517","name":"Array.size","line":2516,"kind":"def","docLink":"./Init/Prelude.html#Array.size","doc":"Get the size of an array. This is a cached value, so it is O(1) to access. "},"Array.singleton":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L34-L35","name":"Array.singleton","line":34,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.singleton","doc":""},"Array.shrink.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L107-L109","name":"Array.shrink.loop","line":107,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink.loop","doc":""},"Array.shrink":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L106-L110","name":"Array.shrink","line":106,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.shrink","doc":""},"Array.setD":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2596-L2597","name":"Array.setD","line":2596,"kind":"def","docLink":"./Init/Prelude.html#Array.setD","doc":"Set an element in an array, or do nothing if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set!":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2606-L2607","name":"Array.set!","line":2606,"kind":"def","docLink":"./Init/Prelude.html#Array.set!","doc":"Set an element in an array, or panic if the index is out of bounds.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.set":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2587-L2588","name":"Array.set","line":2587,"kind":"def","docLink":"./Init/Prelude.html#Array.set","doc":"Set an element in an array without bounds checks, using a `Fin` index.\n\nThis will perform the update destructively provided that `a` has a reference\ncount of 1 when called.\n"},"Array.sequenceMap.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2767-L2773","name":"Array.sequenceMap.loop","line":2767,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap.loop","doc":""},"Array.sequenceMap":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2766-L2774","name":"Array.sequenceMap","line":2766,"kind":"def","docLink":"./Init/Prelude.html#Array.sequenceMap","doc":"A fusion of Haskell's `sequence` and `map`. Used in syntax quotations. "},"Array.reverse.termination":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L640-L642","name":"Array.reverse.termination","line":640,"kind":"theorem","docLink":"./Init/Data/Array/Basic.html#Array.reverse.termination","doc":""},"Array.reverse.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L650-L657","name":"Array.reverse.loop","line":650,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse.loop","doc":""},"Array.reverse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L644-L658","name":"Array.reverse","line":644,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.reverse","doc":""},"Array.qsort.sort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L33-L43","name":"Array.qsort.sort","line":33,"kind":"opaque","docLink":"./Init/Data/Array/QSort.html#Array.qsort.sort","doc":""},"Array.qsort":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L32-L44","name":"Array.qsort","line":32,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qsort","doc":""},"Array.qpartition.loop":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L19-L28","name":"Array.qpartition.loop","line":19,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition.loop","doc":""},"Array.qpartition":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/QSort.lean#L12-L30","name":"Array.qpartition","line":12,"kind":"def","docLink":"./Init/Data/Array/QSort.html#Array.qpartition","doc":""},"Array.push":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2541-L2542","name":"Array.push","line":2541,"kind":"def","docLink":"./Init/Prelude.html#Array.push","doc":"Push an element onto the end of an array. 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"},"Array.mkArray8":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2577-L2578","name":"Array.mkArray8","line":2577,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray8","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇, a₈]` "},"Array.mkArray7":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2573-L2574","name":"Array.mkArray7","line":2573,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray7","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆, a₇]` "},"Array.mkArray6":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2569-L2570","name":"Array.mkArray6","line":2569,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray6","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅, a₆]` "},"Array.mkArray5":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2565-L2566","name":"Array.mkArray5","line":2565,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray5","doc":"Create array `#[a₁, a₂, a₃, a₄, a₅]` "},"Array.mkArray4":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2561-L2562","name":"Array.mkArray4","line":2561,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray4","doc":"Create array `#[a₁, a₂, a₃, a₄]` "},"Array.mkArray3":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2557-L2558","name":"Array.mkArray3","line":2557,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray3","doc":"Create array `#[a₁, a₂, a₃]` "},"Array.mkArray2":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2553-L2554","name":"Array.mkArray2","line":2553,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray2","doc":"Create array `#[a₁, a₂]` "},"Array.mkArray1":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2549-L2550","name":"Array.mkArray1","line":2549,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray1","doc":"Create array `#[a₁]` "},"Array.mkArray0":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2545-L2546","name":"Array.mkArray0","line":2545,"kind":"def","docLink":"./Init/Prelude.html#Array.mkArray0","doc":"Create array `#[]` "},"Array.mkArray":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L20-L22","name":"Array.mkArray","line":20,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mkArray","doc":""},"Array.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2498-L2498","name":"Array.mk","line":2498,"kind":"ctor","docLink":"./Init/Prelude.html#Array.mk","doc":"Convert a `List α` into an `Array α`. This function is overridden\nto `List.toArray` and is O(n) in the length of the list. "},"Array.mapSepElemsM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1087-L1088","name":"Array.mapSepElemsM","line":1087,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElemsM","doc":""},"Array.mapSepElems":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Meta.lean#L1090-L1091","name":"Array.mapSepElems","line":1090,"kind":"def","docLink":"./Init/Meta.html#Array.mapSepElems","doc":""},"Array.mapMonoM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L70-L71","name":"Array.mapMonoM","line":70,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMonoM","doc":"Monomorphic `Array.mapM`. The internal implementation uses pointer equality, and does not allocate a new array\nif the result of each `f a` is a pointer equal value `a`.\n"},"Array.mapMono":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L73-L74","name":"Array.mapMono","line":73,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapMono","doc":""},"Array.mapMUnsafe.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L256-L266","name":"Array.mapMUnsafe.map","line":256,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe.map","doc":""},"Array.mapMUnsafe":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L254-L267","name":"Array.mapMUnsafe","line":254,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapMUnsafe","doc":"See comment at `forInUnsafe` "},"Array.mapM.map":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L274-L278","name":"Array.mapM.map","line":274,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM.map","doc":""},"Array.mapM'.go":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L43-L49","name":"Array.mapM'.go","line":43,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'.go","doc":""},"Array.mapM'":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/BasicAux.lean#L40-L50","name":"Array.mapM'","line":40,"kind":"def","docLink":"./Init/Data/Array/BasicAux.html#Array.mapM'","doc":""},"Array.mapM":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Data/Array/Basic.lean#L271-L280","name":"Array.mapM","line":271,"kind":"def","docLink":"./Init/Data/Array/Basic.html#Array.mapM","doc":"Reference implementation for `mapM` 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Arrays perform best when unshared; as long\nas they are used \"linearly\" all updates will be performed destructively on the\narray, so it has comparable performance to mutable arrays in imperative\nprogramming languages.\n"},"Applicative.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2730-L2730","name":"Applicative.mk","line":2730,"kind":"ctor","docLink":"./Init/Prelude.html#Applicative.mk","doc":""},"Applicative":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L2730-L2733","name":"Applicative","line":2730,"kind":"class","docLink":"./Init/Prelude.html#Applicative","doc":"An [applicative functor](https://en.wikipedia.org/wiki/Applicative_functor) is\nan intermediate structure between `Functor` and `Monad`. It mainly consists of\ntwo operations:\n\n* `pure : α → F α`\n* `seq : F (α → β) → F α → F β` (written as `<*>`)\n\nThe `seq` operator gives a notion of evaluation order to the effects, where\nthe first argument is executed before the second, but unlike a monad the results\nof earlier computations cannot be used to define later actions.\n"},"Append.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1306-L1306","name":"Append.mk","line":1306,"kind":"ctor","docLink":"./Init/Prelude.html#Append.mk","doc":""},"Append.append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1308-L1308","name":"Append.append","line":1308,"kind":"def","docLink":"./Init/Prelude.html#Append.append","doc":"`a ++ b` is the result of concatenation of `a` and `b`. See `HAppend`. "},"Append":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1306-L1308","name":"Append","line":1306,"kind":"class","docLink":"./Init/Prelude.html#Append","doc":"The homogeneous version of `HAppend`: `a ++ b : α` where `a b : α`. "},"Antisymm.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1608-L1608","name":"Antisymm.mk","line":1608,"kind":"ctor","docLink":"./Init/Core.html#Antisymm.mk","doc":""},"Antisymm.antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1610-L1610","name":"Antisymm.antisymm","line":1610,"kind":"def","docLink":"./Init/Core.html#Antisymm.antisymm","doc":"An antisymmetric relation `(·≤·)` satisfies `a ≤ b → b ≤ a → a = b`. "},"Antisymm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L1608-L1610","name":"Antisymm","line":1608,"kind":"class","docLink":"./Init/Core.html#Antisymm","doc":"`Antisymm (·≤·)` says that `(·≤·)` is antisymmetric, that is, `a ≤ b → b ≤ a → a = b`.\n"},"AndThen.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1324-L1324","name":"AndThen.mk","line":1324,"kind":"ctor","docLink":"./Init/Prelude.html#AndThen.mk","doc":""},"AndThen.andThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1326-L1326","name":"AndThen.andThen","line":1326,"kind":"def","docLink":"./Init/Prelude.html#AndThen.andThen","doc":"The implementation of `a >> b : α`. See `HAndThen`. "},"AndThen":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1324-L1326","name":"AndThen","line":1324,"kind":"class","docLink":"./Init/Prelude.html#AndThen","doc":"The homogeneous version of `HAndThen`: `a >> b : α` where `a b : α`.\nBecause `b` is \"lazy\" in this notation, it is passed as `Unit → α` to the\nimplementation so it can decide when to evaluate it.\n"},"AndOp.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1332-L1332","name":"AndOp.mk","line":1332,"kind":"ctor","docLink":"./Init/Prelude.html#AndOp.mk","doc":""},"AndOp.and":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1334-L1334","name":"AndOp.and","line":1334,"kind":"def","docLink":"./Init/Prelude.html#AndOp.and","doc":"The implementation of `a &&& b : α`. See `HAnd`. "},"AndOp":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1332-L1334","name":"AndOp","line":1332,"kind":"class","docLink":"./Init/Prelude.html#AndOp","doc":"The homogeneous version of `HAnd`: `a &&& b : α` where `a b : α`.\n(It is called `AndOp` because `And` is taken for the propositional connective.)\n"},"And.right":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L507-L507","name":"And.right","line":507,"kind":"def","docLink":"./Init/Prelude.html#And.right","doc":"Extract the right conjunct from a conjunction. `h : a ∧ b` then\n`h.right`, also notated as `h.2`, is a proof of `b`. "},"And.left":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L504-L504","name":"And.left","line":504,"kind":"def","docLink":"./Init/Prelude.html#And.left","doc":"Extract the left conjunct from a conjunction. `h : a ∧ b` then\n`h.left`, also notated as `h.1`, is a proof of `a`. "},"And.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L501-L501","name":"And.intro","line":501,"kind":"ctor","docLink":"./Init/Prelude.html#And.intro","doc":"`And.intro : a → b → a ∧ b` is the constructor for the And operation. "},"And.comm":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Core.lean#L680-L681","name":"And.comm","line":680,"kind":"theorem","docLink":"./Init/Core.html#And.comm","doc":""},"And":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L499-L507","name":"And","line":499,"kind":"structure","docLink":"./Init/Prelude.html#And","doc":"`And a b`, or `a ∧ b`, is the conjunction of propositions. It can be\nconstructed and destructed like a pair: if `ha : a` and `hb : b` then\n`⟨ha, hb⟩ : a ∧ b`, and if `h : a ∧ b` then `h.left : a` and `h.right : b`.\n"},"Alternative.orElse":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L25-L25","name":"Alternative.orElse","line":25,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.orElse","doc":""},"Alternative.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L23-L23","name":"Alternative.mk","line":23,"kind":"ctor","docLink":"./Init/Control/Basic.html#Alternative.mk","doc":""},"Alternative.failure":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L24-L24","name":"Alternative.failure","line":24,"kind":"def","docLink":"./Init/Control/Basic.html#Alternative.failure","doc":""},"Alternative":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Control/Basic.lean#L23-L25","name":"Alternative","line":23,"kind":"class","docLink":"./Init/Control/Basic.html#Alternative","doc":""},"Add.mk":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1263-L1263","name":"Add.mk","line":1263,"kind":"ctor","docLink":"./Init/Prelude.html#Add.mk","doc":""},"Add.add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1265-L1265","name":"Add.add","line":1265,"kind":"def","docLink":"./Init/Prelude.html#Add.add","doc":"`a + b` computes the sum of `a` and `b`. See `HAdd`. "},"Add":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/Prelude.lean#L1263-L1265","name":"Add","line":1263,"kind":"class","docLink":"./Init/Prelude.html#Add","doc":"The homogeneous version of `HAdd`: `a + b : α` where `a b : α`. "},"Acc.ndrecOn":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L20-L24","name":"Acc.ndrecOn","line":20,"kind":"def","docLink":"./Init/WF.html#Acc.ndrecOn","doc":""},"Acc.ndrec":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L15-L18","name":"Acc.ndrec","line":15,"kind":"def","docLink":"./Init/WF.html#Acc.ndrec","doc":""},"Acc.inv":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L29-L30","name":"Acc.inv","line":29,"kind":"def","docLink":"./Init/WF.html#Acc.inv","doc":""},"Acc.intro":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L13-L13","name":"Acc.intro","line":13,"kind":"ctor","docLink":"./Init/WF.html#Acc.intro","doc":""},"Acc":{"sourceLink":"https://github.com/leanprover/lean4/blob/ec941735c80dc54c53948e30c428905b6600f95a/src/Init/WF.lean#L12-L13","name":"Acc","line":12,"kind":"inductive","docLink":"./Init/WF.html#Acc","doc":""}}}
\ No newline at end of file
diff --git a/declarations/declaration-data.bmp.trace b/declarations/declaration-data.bmp.trace
index 55275ade1..5d2d45f32 100644
--- a/declarations/declaration-data.bmp.trace
+++ b/declarations/declaration-data.bmp.trace
@@ -1 +1 @@
-1635780980290524880
\ No newline at end of file
+5004817448913315715
\ No newline at end of file