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.
31 lines
1,023 B
Text
31 lines
1,023 B
Text
module
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def Xor' (a b : Prop) := (a ∧ ¬b) ∨ (b ∧ ¬a)
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@[grind =] theorem xor_def {a b : Prop} : Xor' a b ↔ (a ∧ ¬b) ∨ (b ∧ ¬a) := Iff.rfl
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class Nat.AtLeastTwo' (n : Nat) : Prop where
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prop : 2 ≤ n
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instance instNatAtLeastTwo' {n : Nat} : Nat.AtLeastTwo' (n + 2) where
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prop := Nat.succ_le_succ <| Nat.succ_le_succ <| Nat.zero_le _
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instance (priority := 100) instOfNatAtLeastTwo'
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{R : Type _} {n : Nat} [NatCast R] [Nat.AtLeastTwo' n] :
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OfNat R n where
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ofNat := n.cast
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class Distrib' (R : Type _) extends Add R where
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instance Nat.instDistrib' : Distrib' Nat where
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theorem Nat.even_xor_odd'.extracted_1_2 (k : Nat) :
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Xor'
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(@Eq.{1} Nat
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(@HAdd.hAdd.{0, 0, 0} Nat Nat Nat
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(@instHAdd.{0} Nat (@Distrib'.toAdd.{0} Nat Nat.instDistrib'))
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(@HMul.hMul.{0, 0, 0} Nat Nat Nat
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inferInstance
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(@OfNat.ofNat.{0} Nat (nat_lit 2)
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(@instOfNatAtLeastTwo'.{0} Nat (nat_lit 2) inferInstance inferInstance)) k) 1)
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(2 * k))
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True := by grind
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