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https://github.com/leanprover/lean4.git
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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.
39 lines
1016 B
Lean4
39 lines
1016 B
Lean4
def g (xs ys : List Nat) : Nat :=
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match xs, ys with
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| [a, b], _ => Nat.succ (a+b)
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| _, [b, c] => Nat.succ b
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| _, _ => 1
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example (a b : Bool) (x y z : Nat) (xs : List Nat) (h1 : (if a then x else y) = 0) (h2 : xs.head! = 0) : g [x] xs = 1 := by
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simp [g]
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repeat any_goals (split at *)
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any_goals (first | decide | contradiction | injections)
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next b c _ =>
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show Nat.succ b = 1
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simp [List.head!] at h2; simp [h2]
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next b c _ =>
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show Nat.succ b = 1
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simp [List.head!] at h2; simp [h2]
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example (a : Bool) (h1 : (if a then x else y) = 1) : x + y > 0 := by
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split at h1
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· subst h1; rw [Nat.succ_add]; apply Nat.zero_lt_succ
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· subst h1; apply Nat.zero_lt_succ
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def f (x : Nat) : Nat :=
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match x with
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| 100 => 0
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| 200 => 0
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| _ => 1
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example (h1 : f x = 0) (h2 : x > 300) : False := by
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simp [f] at h1
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split at h1
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· contradiction
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· contradiction
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· contradiction
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example (h1 : f x = 0) (h2 : x > 300) : False := by
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simp [f] at h1
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split at h1 <;> contradiction
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