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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.
27 lines
920 B
Lean4
27 lines
920 B
Lean4
theorem ex1 : (fun y => y + 0) = (fun x => 0 + x) := by
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funext x
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simp
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theorem ex2 : (fun y x => y + x + 0) = (fun x y => y + x) := by
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funext x y
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rw [Nat.add_zero, Nat.add_comm]
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theorem ex3 : (fun (x : Nat × Nat) => x.1 + x.2) = (fun (x : Nat × Nat) => x.2 + x.1) := by
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funext (a, b)
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show a + b = b + a
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rw [Nat.add_comm]
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theorem ex4 : (fun (x : Nat × Nat) (y : Nat × Nat) => x.1 + y.2) = (fun (x : Nat × Nat) (z : Nat × Nat) => z.2 + x.1) := by
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funext (a, b) (c, d)
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show a + d = d + a
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rw [Nat.add_comm]
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theorem ex5 : (fun (x : Id Nat) => x.succ + 0) = (fun (x : Id Nat) => 0 + x.succ) := by
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funext (x : Nat)
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have y := x + 1 -- if `(x : Nat)` is not used at `funext`, then `x+1` would fail to be elaborated since we don't have the instance `Add (Id Nat)`
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rw [Nat.add_comm]
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theorem ex6 : (fun (x : Nat) y z => x + y + z) = (fun x y z => x + (y + z)) := by
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funext
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rw [Nat.add_assoc]
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