78 lines
1.3 KiB
Text
78 lines
1.3 KiB
Text
opaque f : Nat → Nat
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@[grind] theorem fthm : f (f x) = f x := sorry
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theorem fthm' : f (f x) = x := sorry
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/--
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error: `fthm'` is not marked with the `[grind]` attribute
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-/
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#guard_msgs in
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attribute [-grind] fthm'
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set_option trace.grind.assert true
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/--
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info: [grind.assert] ¬f (f (f a)) = f a
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[grind.assert] f (f (f (f a))) = f (f (f a))
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[grind.assert] f (f (f a)) = f (f a)
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[grind.assert] f (f a) = f a
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-/
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#guard_msgs (info) in
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example : f (f (f a)) = f a := by
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grind
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attribute [-grind] fthm
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/--
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error: unsolved goals
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a : Nat
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⊢ f (f (f a)) = f a
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---
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info: [grind.assert] ¬f (f (f a)) = f a
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-/
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#guard_msgs (info, error) in
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example : f (f (f a)) = f a := by
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fail_if_success grind
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/--
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error: `fthm` is not marked with the `[grind]` attribute
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-/
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#guard_msgs in
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attribute [-grind] fthm
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attribute [grind] fthm
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example : f (f (f a)) = f a := by
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grind
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def g (x : Nat) :=
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match x with
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| 0 => 1
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| x+1 => 2 * g x
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attribute [grind] g
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example : g a = b → a = 0 → b = 1 := by
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grind
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attribute [-grind] g
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/--
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error: unsolved goals
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a b : Nat
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⊢ g a = b → a = 0 → b = 1
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---
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info: [grind.assert] g a = b
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[grind.assert] a = 0
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[grind.assert] ¬b = 1
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-/
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#guard_msgs (info, error) in
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example : g a = b → a = 0 → b = 1 := by
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fail_if_success grind
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/--
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error: `g` is not marked with the `[grind]` attribute
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-/
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#guard_msgs in
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attribute [-grind] g
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