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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.
28 lines
660 B
Lean4
28 lines
660 B
Lean4
set_option linter.unusedVariables false
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opaque f (x y : Nat) : Nat
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opaque g (x : Nat) : Nat
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theorem ex1 (x : Nat) (h₁ : f x x = g x) (h₂ : g x = x) : f x (f x x) = x := by
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fail_if_success simp
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simp [*]
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theorem ex2 (x : Nat) (h₁ : f x x = g x) (h₂ : g x = x) : f x (f x x) = x := by
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simp [*]
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axiom g_ax (x : Nat) : g x = 0
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/--
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trace: x y : Nat
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h₁ : f x x = g x
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h₂ : g x < 5
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⊢ g x + g x = 0
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-/
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#guard_msgs in
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theorem ex3 (x y : Nat) (h₁ : f x x = g x) (h₂ : f x x < 5) : f x x + f x x = 0 := by
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simp [*, -Nat.add_eq_zero_iff] at *
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trace_state
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have aux₁ : f x x = g x := h₁
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have aux₂ : g x < 5 := h₂
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simp [g_ax]
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