08eb78a5b2
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.
51 lines
2.3 KiB
Text
51 lines
2.3 KiB
Text
[grind.debug.proof] fun h h_1 h_2 =>
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Classical.byContradiction fun h_3 =>
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id
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(Eq.mp
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(Eq.trans
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(Eq.symm
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(eq_true
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(Eq.trans
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(Eq.trans (Eq.symm h)
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(eq_of_heq
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(eq_of_heq
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(eq_of_heq ((fun a a' e_1 => e_1 ▸ HEq.refl (f a)) a b h_2) ▸
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(fun a_1 a' e_1 => e_1 ▸ HEq.refl (f a a_1)) 0 0 (Eq.refl 0)) ▸
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(fun a_1 a' e_1 => e_1 ▸ HEq.refl (f a 0 a_1)) true true (Eq.refl true))))
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h_1)))
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(eq_false h_3))
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True.intro)
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[grind.debug.proof] fun h h_1 h_2 =>
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Classical.byContradiction fun h_3 =>
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id
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(Eq.mp
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(Eq.trans
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(Eq.symm
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(eq_true
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(Eq.trans (Eq.trans (Eq.symm h) (eq_of_heq ((fun a_1 a' e_1 => e_1 ▸ HEq.refl (f a b a_1)) x y h_2)))
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h_1)))
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(eq_false h_3))
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True.intro)
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[grind.debug.proof] fun h h_1 h_2 h_3 =>
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Classical.byContradiction fun h_4 =>
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id
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(Eq.mp
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(Eq.trans
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(Eq.symm
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(eq_true
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(Eq.trans
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(Eq.trans (Eq.symm h)
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(eq_of_heq
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(eq_of_heq
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(eq_of_heq ((fun a a' e_1 => e_1 ▸ HEq.refl (f a)) a c h_2) ▸
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(fun a_1 a' e_1 => e_1 ▸ HEq.refl (f a a_1)) b b (Eq.refl b)) ▸
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(fun a_1 a' e_1 => e_1 ▸ HEq.refl (f a b a_1)) x y h_3)))
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h_1)))
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(eq_false h_4))
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True.intro)
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private theorem ex1 : ∀ {x : Bool} {v₁ : Nat} {y : Bool} {v₂ : Nat} (f : {α : Type} → α → Nat → Bool → Nat)
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(a b c : Nat), f a b x = v₁ → f c b y = v₂ → a = c → x = y → v₁ = v₂ :=
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fun {x} {v₁} {y} {v₂} f a b c => ex1._proof_1_1 f a b c
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private theorem ex2 : ∀ (n1 n2 n3 : Nat) (v1 w1 v : Vector Nat n1) (w1' : Vector Nat n3) (v2 w2 w : Vector Nat n2),
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n1 ≍ n3 → v1 = w1 → w1 ≍ w1' → v2 ≍ w2 → w1' ++ w2 ≍ v ++ w → v1 ++ v2 ≍ v ++ w :=
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fun n1 n2 n3 v1 w1 v w1' v2 w2 w => ex2._proof_1_3 n1 n2 n3 v1 w1 v w1' v2 w2 w
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