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feat: missing modifyNth simp lemmas (#830)
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kim-em authored Jun 7, 2024
1 parent 6a63eb6 commit f93c3a7
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8 changes: 8 additions & 0 deletions Batteries/Data/List/Lemmas.lean
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Expand Up @@ -274,6 +274,14 @@ theorem tail_drop (l : List α) (n : Nat) : (l.drop n).tail = l.drop (n + 1) :=

/-! ### modifyNth -/

@[simp] theorem modifyNth_nil (f : α → α) (n) : [].modifyNth f n = [] := by cases n <;> rfl

@[simp] theorem modifyNth_zero_cons (f : α → α) (a : α) (l : List α) :
(a :: l).modifyNth f 0 = f a :: l := rfl

@[simp] theorem modifyNth_succ_cons (f : α → α) (a : α) (l : List α) (n) :
(a :: l).modifyNth f (n + 1) = a :: l.modifyNth f n := by rfl

theorem modifyNthTail_id : ∀ n (l : List α), l.modifyNthTail id n = l
| 0, _ => rfl
| _+1, [] => rfl
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