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.
69 lines
1.4 KiB
Text
69 lines
1.4 KiB
Text
def ex1 (x : Nat) (y : { v // v > x }) (z : Nat) : Nat :=
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by {
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clear y x;
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exact z
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}
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def ex2 (x : Nat) (y : { v // v > x }) (z : Nat) : Nat :=
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by {
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clear x y;
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exact z
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}
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theorem ex3 (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z :=
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by {
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have : y = z := h₂.symm;
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apply Eq.trans;
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exact h₁;
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assumption
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}
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theorem ex4 (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z :=
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by {
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let h₃ : y = z := h₂.symm;
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apply Eq.trans;
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exact h₁;
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exact h₃
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}
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theorem ex5 (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z :=
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by {
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have h₃ : y = z := h₂.symm;
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apply Eq.trans;
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exact h₁;
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exact h₃
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}
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theorem ex6 (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : id (x + 0 = z) :=
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by {
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show x = z;
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have h₃ : y = z := h₂.symm;
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apply Eq.trans;
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exact h₁;
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exact h₃
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}
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theorem ex7 (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z := by
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have : y = z := by apply Eq.symm; assumption
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apply Eq.trans
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exact h₁
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assumption
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theorem ex8 (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z :=
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by apply Eq.trans h₁;
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have : y = z := by
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apply Eq.symm;
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assumption;
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exact this
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example (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z := by
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sorry
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example (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z := by
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apply Eq.trans
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· sorry
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· sorry
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· sorry
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example (x y z : Nat) (h₁ : x = y) (h₂ : z = y) : x = z := by
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apply Eq.trans <;> sorry
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