lean4-htt/tests/elab/simp5.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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def f {α} (a b : α) := a
theorem f_Eq {α} (a b : α) : f a b = a :=
rfl
theorem ex1 (a b c : α) : f (f a b) c = a := by
simp -implicitDefEqProofs [f_Eq]
/--
info: theorem ex1.{u_1} : ∀ {α : Sort u_1} (a b c : α), f (f a b) c = a :=
fun {α} a b c =>
of_eq_true
(Eq.trans (congrFun' (congrArg Eq (Eq.trans (congrFun' (congrArg f (f_Eq a b)) c) (f_Eq a c))) a) (eq_self a))
-/
#guard_msgs in
#print ex1
theorem ex1' (a b c : α) : f (f a b) c = a := by
simp +implicitDefEqProofs [f_Eq]
/--
info: theorem ex1'.{u_1} : ∀ {α : Sort u_1} (a b c : α), f (f a b) c = a :=
fun {α} a b c => of_eq_true (eq_self a)
-/
#guard_msgs in
#print ex1'
theorem ex2 (p : Nat → Bool) (x : Nat) (h : p x = true) : (if p x then 1 else 2) = 1 := by
simp [h]
/--
info: theorem ex2 : ∀ (p : Nat → Bool) (x : Nat), p x = true → (if p x = true then 1 else 2) = 1 :=
fun p x h =>
of_eq_true
(Eq.trans
(congrFun' (congrArg Eq (ite_cond_eq_true 1 2 (Eq.trans (congrFun' (congrArg Eq h) true) (eq_self true)))) 1)
(eq_self 1))
-/
#guard_msgs in
#print ex2