lean4-htt/tests/lean/run/387.lean
2023-08-16 10:14:23 -07:00

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--
axiom p {α β} : α → β → Prop
axiom foo {α β} (a : α) (b : β) : p a b
example : p 0 0 := by simp [foo]
example (a : Nat) : p a a := by simp [foo a]
example : p 0 0 := by simp [foo 0]
example : p 0 0 := by simp [foo 0 0]
example : p 0 0 := by
fail_if_success
simp [foo 1] -- will not simplify
simp [foo 0]
example : p 0 0 ∧ p 1 1 := by
simp [foo 1]
trace_state
simp [foo 0]
namespace Foo
axiom p {α} : α → Prop
axiom foo {α} [ToString α] (n : Nat) (a : α) : p a
example : p 0 := by simp [foo 0]
example : p 0 ∧ True := by simp [foo 0]
end Foo