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.
33 lines
886 B
Text
33 lines
886 B
Text
namespace Ex1
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inductive Wk: Nat -> Nat -> Type 0 where
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| id: Wk n n
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| step: Wk m n -> Wk (Nat.succ m) n
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| lift: Wk m n -> Wk (Nat.succ m) (Nat.succ n)
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def wk_comp {n m l: Nat} (ρ: Wk n m) (σ: Wk m l): Wk n l :=
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match n, m, l, ρ, σ with
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| _, _, _, Wk.id, σ => σ
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| _, _, _, Wk.step ρ, σ => Wk.step (wk_comp ρ σ)
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| _, _, _, Wk.lift ρ, Wk.id => Wk.lift ρ
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| _, _, _, Wk.lift ρ, Wk.step σ => Wk.step (wk_comp ρ σ)
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| _, _, _, Wk.lift ρ, Wk.lift σ => Wk.lift (wk_comp ρ σ)
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theorem wk_comp_id_id {ρ: Wk m n}: wk_comp Wk.id ρ = ρ := rfl
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end Ex1
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namespace Ex2
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inductive Wk: Nat -> Nat -> Type 0 where
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| id: Wk n n
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| step: Wk m n -> Wk (Nat.succ m) n
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def wk_comp : Wk n m → Wk m l → Wk n l
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| Wk.id, σ => σ
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| Wk.step ρ, σ => Wk.step (wk_comp ρ σ)
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theorem wk_comp_id_id {ρ: Wk m n}: wk_comp Wk.id ρ = ρ := rfl
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end Ex2
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