The mismatch is in the argument not having an inner symbol
@ ape.domOpt.get
res9: Typ[u] = SymbProp(ApplnSym(SymbolicFunc('u, SymbTyp('t, 0), Prop), SymbObj(Name("$agynv"), SymbTyp('t, 0))))
@ ape.argType
res10: Typ[U] = SymbProp(ApplnSym(SymbolicFunc(Name("'u"), SymbTyp('t, 0), Prop), SymbObj(Name("$agynv"), SymbTyp('t, 0))))
In fansi notation
@ ape.func
res59: Term = subtype.mk('t)('u)($agynv)
@ ape.domOpt.get
res60: Typ[u] = 'u($agynv)
@ ape.argType
res61: Typ[U] = 'u($agynv)
with the expression to parse
Some(
λ {α : Sort u} {p : (∀ (a : α), Prop)}
{C : (∀ (n_0 : @subtype.{u} α p), Sort l)} (n : @subtype.{u} α p)
(e_1 :
(∀ (val : α) (property : p val), C (@subtype.mk.{u} α p val property))),
@subtype.rec.{l u} α p C e_1 n
)
The actual expression is
Lam(
Binding(Str(, "\u03b1"), Sort(Param(Str(, "u"))), Implicit),
Lam(
Binding(Str(, "p"), Pi(Binding(Str(, "a"), Var(0), Default), Sort(Zero)), Implicit),
Lam(
Binding(
Str(, "C"),
Pi(
Binding(Str(, "n"), App(App(Const(Str(, "subtype"), Vector(Param(Str(, "u")))), Var(1)), Var(0)), Default),
Sort(Param(Str(, "l")))
),
Implicit
),
Lam(
Binding(Str(, "n"), App(App(Const(Str(, "subtype"), Vector(Param(Str(, "u")))), Var(2)), Var(1)), Default),
Lam(
Binding(
Str(, "e_1"),
Pi(
Binding(Str(, "val"), Var(3), Default),
Pi(
Binding(Str(, "property"), App(Var(3), Var(0)), Default),
App(
Var(3),
App(
App(App(App(Const(Str(Str(, "subtype"), "mk"), Vector(Param(Str(, "u")))), Var(5)), Var(4)), Var(1)),
Var(0)
)
)
)
),
Default
),
App(
App(
App(
App(App(Const(Str(Str(, "subtype"), "rec"), Vector(Param(Str(, "l")), Param(Str(, "u")))), Var(4)), Var(3)),
Var(2)
),
Var(0)
),
Var(1)
)
)
)
)
)
)
The stack trace is:
provingground.HoTT$FuncLike.apply(HoTT.scala:1384),
provingground.HoTT$FuncLike.apply$(HoTT.scala:1383),
provingground.HoTT$SymbolicFunc.apply(HoTT.scala:1577),
provingground.induction.ConstructorPatternMap$CnstFncPtnMap.inducDataTyp(ConstructorPatternMap.scala:298),
provingground.induction.ConstructorPatternMap$CnstFncPtnMap.inducDataTyp(ConstructorPatternMap.scala:267),
provingground.induction.ConstructorPatternMap$CnstDepFuncPtnMap.inducDataTyp(ConstructorPatternMap.scala:373),
provingground.induction.ConstructorPatternMap$CnstDepFuncPtnMap.inducDataTyp(ConstructorPatternMap.scala:321),
provingground.induction.ConstructorSeqMap$Cons.inducData(ConstructorSeqMap.scala:156),
provingground.induction.ConstructorSeqMap$Cons.indDataCons(ConstructorSeqMap.scala:164),
provingground.induction.ConstructorSeqMap$Cons.$anonfun$indDataCons$3(ConstructorSeqMap.scala:171),
provingground.induction.InductiveDefinition$DataCons.subs(InductiveCaseDefinition.scala:103),
provingground.induction.InductiveDefinition$DataCons.subs(InductiveCaseDefinition.scala:62),
provingground.HoTT$Subs.replace(HoTT.scala:181),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.induction.InductiveDefinition$DataCons.replace(InductiveCaseDefinition.scala:62),
provingground.HoTT$ApplnSym.subs(HoTT.scala:1412),
provingground.HoTT$ApplnSym.subs(HoTT.scala:1405),
provingground.HoTT$.$anonfun$symSubs$4(HoTT.scala:564),
scala.Option.getOrElse(Option.scala:121),
provingground.HoTT$.$anonfun$symSubs$1(HoTT.scala:564),
provingground.HoTT$SymbObj.subs(HoTT.scala:524),
provingground.HoTT$Subs.replace(HoTT.scala:181),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$SymbObj.replace(HoTT.scala:513),
provingground.HoTT$LambdaFixed.subs(HoTT.scala:1829),
provingground.HoTT$LambdaFixed.subs(HoTT.scala:1794),
provingground.HoTT$Subs.replace(HoTT.scala:181),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaFixed.replace(HoTT.scala:1794),
provingground.HoTT$Subs.replace(HoTT.scala:168),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaFixed.replace(HoTT.scala:1794),
provingground.HoTT$Subs.replace(HoTT.scala:168),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaFixed.replace(HoTT.scala:1794),
provingground.HoTT$Subs.replace(HoTT.scala:173),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaFixed.replace(HoTT.scala:1794),
provingground.HoTT$LambdaLike.subs(HoTT.scala:1722),
provingground.HoTT$LambdaLike.subs$(HoTT.scala:1715),
provingground.HoTT$LambdaTerm.subs(HoTT.scala:1741),
provingground.HoTT$LambdaTerm.subs(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:181),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:168),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:168),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:176),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:173),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$LambdaLike.subs(HoTT.scala:1722),
provingground.HoTT$LambdaLike.subs$(HoTT.scala:1715),
provingground.HoTT$LambdaTerm.subs(HoTT.scala:1741),
provingground.HoTT$LambdaTerm.subs(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:181),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:176),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:173),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$LambdaLike.subs(HoTT.scala:1722),
provingground.HoTT$LambdaLike.subs$(HoTT.scala:1715),
provingground.HoTT$LambdaTerm.subs(HoTT.scala:1741),
provingground.HoTT$LambdaTerm.subs(HoTT.scala:1741),
provingground.HoTT$Subs.replace(HoTT.scala:181),
provingground.HoTT$Subs.replace$(HoTT.scala:154),
provingground.HoTT$LambdaTerm.replace(HoTT.scala:1741),
provingground.HoTT$.lambda(HoTT.scala:1981),
provingground.interface.LeanParser.$anonfun$parse$13(LeanParser.scala:328),
monix.eval.Task$Map.apply(Task.scala:2995),
monix.eval.Task$Map.apply(Task.scala:2991),
monix.eval.internal.TaskRunLoop$.startFull(TaskRunLoop.scala:121),
monix.eval.internal.TaskRunLoop$RestartCallback.onSuccess(TaskRunLoop.scala:537),
monix.eval.Callback$$anon$2.$anonfun$onSuccess$1(Callback.scala:106),
monix.execution.schedulers.TrampolineExecutionContext.monix$execution$schedulers$TrampolineExecutionContext$$localRunLoop(TrampolineExecutionContext.scala:109),
monix.execution.schedulers.TrampolineExecutionContext.startLoopOptimal(TrampolineExecutionContext.scala:93),
monix.execution.schedulers.TrampolineExecutionContext.execute(TrampolineExecutionContext.scala:78),
monix.execution.schedulers.BatchingScheduler.execute(BatchingScheduler.scala:50),
monix.execution.schedulers.BatchingScheduler.execute$(BatchingScheduler.scala:47),
monix.execution.schedulers.AsyncScheduler.execute(AsyncScheduler.scala:29),
monix.execution.schedulers.ExecuteExtensions.executeTrampolined(ExecuteExtensions.scala:86),
monix.execution.schedulers.ExecuteExtensions.executeTrampolined$(ExecuteExtensions.scala:85),
monix.execution.Scheduler$Extensions.executeTrampolined(Scheduler.scala:256),
monix.eval.Callback$$anon$2.onSuccess(Callback.scala:106),
monix.eval.internal.TaskRunLoop$.startFull(TaskRunLoop.scala:117),
monix.eval.internal.TaskRunLoop$RestartCallback.onSuccess(TaskRunLoop.scala:537),
monix.eval.Task$$anon$3.run(Task.scala:2161),
java.util.concurrent.ForkJoinTask$RunnableExecuteAction.exec(ForkJoinTask.java:1402),
java.util.concurrent.ForkJoinTask.doExec(ForkJoinTask.java:289),
java.util.concurrent.ForkJoinPool$WorkQueue.runTask(ForkJoinPool.java:1056),
java.util.concurrent.ForkJoinPool.runWorker(ForkJoinPool.java:1692),
java.util.concurrent.ForkJoinWorkerThread.run(ForkJoinWorkerThread.java:157)
)