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
942 B
Text
27 lines
942 B
Text
theorem ex1 {α : Sort u} {a b : α} (h : a ≍ b) : a = b :=
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match h with
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| HEq.refl _ => rfl
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def ex2 {α : Sort u2} {a : α} {motive : {β : Sort u2} → β → Sort u1} (m : motive a) {β : Sort u2} {b : β} (h : a ≍ b) : motive b :=
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match h, m with
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| HEq.refl _, m => m
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def ex3 {α : Sort u} {a : α} {p : α → Sort v} {b : α} (h₁ : a ≍ b) (h₂ : p a) : p b :=
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match h₁, h₂ with
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| HEq.refl _, h₂ => h₂
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theorem ex4 {α β : Sort u} {a : α} {b : β} (h : a ≍ b) : b ≍ a :=
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match h with
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| HEq.refl _ => HEq.refl _
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theorem ex5 {α : Sort u} {a a' : α} (h : a = a') : a ≍ a' :=
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match h with
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| rfl => HEq.refl _
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theorem ex6 {α β : Sort u} (h : α = β) (a : α) : cast h a ≍ a :=
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match h with
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| rfl => HEq.refl _
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theorem ex7 {α β σ : Sort u} {a : α} {b : β} {c : σ} (h₁ : a ≍ b) (h₂ : b ≍ c) : a ≍ c :=
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match h₁, h₂ with
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| HEq.refl _, HEq.refl _ => HEq.refl _
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