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