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.
27 lines
999 B
Text
27 lines
999 B
Text
module
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public section
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class Shelf (α : Type u) where
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act : α → α → α
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self_distrib : ∀ {x y z : α}, act x (act y z) = act (act x y) (act x z)
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class UnitalShelf (α : Type u) extends Shelf α, One α where
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one_act : ∀ a : α, act 1 a = a
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act_one : ∀ a : α, act a 1 = a
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infixr:65 " ◃ " => Shelf.act
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-- Mathlib proof from UnitalShelf.act_act_self_eq
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example {S} [UnitalShelf S] (x y : S) : (x ◃ y) ◃ x = x ◃ y := by
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have h : (x ◃ y) ◃ x = (x ◃ y) ◃ (x ◃ 1) := by rw [UnitalShelf.act_one]
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rw [h, ← Shelf.self_distrib, UnitalShelf.act_one]
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attribute [grind =] UnitalShelf.one_act UnitalShelf.act_one
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-- We actually want the reverse direction of `Shelf.self_distrib`, so don't use the `grind_eq` attribute.
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grind_pattern Shelf.self_distrib => self.act (self.act x y) (self.act x z)
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-- Proof using `grind`:
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example {S} [UnitalShelf S] (x y : S) : (x ◃ y) ◃ x = x ◃ y := by
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have h : (x ◃ y) ◃ x = (x ◃ y) ◃ (x ◃ 1) := by grind
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grind
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