lean4-htt/tests/lean/1079.lean
2022-08-15 08:55:25 -07:00

14 lines
502 B
Text

theorem bad : ∀ (m n : Nat), (if m = n then Ordering.eq else Ordering.gt) = Ordering.lt → False := by
intros m n
cases (Nat.decEq m n) with -- an error as expected: "alternative `isFalse` has not bee provided"
| isTrue h =>
set_option trace.Meta.Tactic.simp true in
simp [h]
theorem bad' : ∀ (m n : Nat), (if m = n then Ordering.eq else Ordering.gt) = Ordering.lt → False := by
intros m n
cases (Nat.decEq m n) with
| isTrue h =>
simp [h]
| isFalse h =>
simp [h]