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.
34 lines
1.3 KiB
Text
34 lines
1.3 KiB
Text
structure MonoidHom (M : Type _) (N : Type _) [Mul M] [Mul N] where
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toFun : M → N
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map_mul' : ∀ x y, toFun (x * y) = toFun x * toFun y
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class CommMagma (G : Type _) extends Mul G where
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mul_comm : ∀ a b : G, a * b = b * a
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set_option quotPrecheck false
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infixr:25 " →*' " => MonoidHom
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instance [Mul M] [Mul N] : CoeFun (M →*' N) (fun _ => M → N) where
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coe := MonoidHom.toFun
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open CommMagma
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-- -- this instance needed
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instance MonoidHom.commMonoid [Mul M] [Mul N] :
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CommMagma (M →*' N) where
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mul := fun f g => { toFun := fun x => f x * g x, map_mul' := sorry }
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mul_comm := sorry
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example {M} [Mul M] [Mul G] [Pow G Int] :
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let zpow : Int → (M →*' G) → (M →*' G) := fun n f => { toFun := fun x => f x ^ n, map_mul' := sorry }
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∀ (n : Nat) (a : M →*' G), zpow (Int.ofNat (Nat.succ n)) a = a * zpow (Int.ofNat n) a := by
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simp only [Int.ofNat_eq_coe] -- commenting out this line makes simp loop
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simp (config := { failIfUnchanged := false }) only [mul_comm] -- should not produce: unexpected bound variable 2
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sorry
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theorem ex₂ {M} [Mul M] [Mul G] [Pow G Int] :
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let zpow : Int → (M →*' G) → (M →*' G) := fun n f => { toFun := fun x => f x ^ n, map_mul' := sorry }
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∀ (n : Nat) (a : M →*' G), zpow (Int.ofNat (Nat.succ n)) a = a * zpow (Int.ofNat n) a := by
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simp only [mul_comm]
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sorry
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