27df5e968a
This PR implements `Simp.Config.implicitDefEqsProofs`. When `true` (default: `true`), `simp` will **not** create a proof term for a rewriting rule associated with an `rfl`-theorem. Rewriting rules are provided by users by annotating theorems with the attribute `@[simp]`. If the proof of the theorem is just `rfl` (reflexivity), and `implicitDefEqProofs := true`, `simp` will **not** create a proof term which is an application of the annotated theorem. The default setting does change the existing behavior. Users can use `simp -implicitDefEqProofs` to force `simp` to create a proof term for `rfl`-theorems. This can positively impact proof checking time in the kernel. This PR also fixes an issue in the `split` tactic that has been exposed by this feature. It was looking for `split` candidates in proofs and implicit arguments. See new test for issue exposed by the previous feature. --------- Co-authored-by: Kim Morrison <kim@tqft.net>
40 lines
1.1 KiB
Text
40 lines
1.1 KiB
Text
def f {α} (a b : α) := a
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theorem f_Eq {α} (a b : α) : f a b = a :=
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rfl
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theorem ex1 (a b c : α) : f (f a b) c = a := by
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simp -implicitDefEqProofs [f_Eq]
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/--
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info: theorem ex1.{u_1} : ∀ {α : Sort u_1} (a b c : α), f (f a b) c = a :=
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fun {α} a b c =>
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of_eq_true
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(Eq.trans (congrArg (fun x => x = a) (Eq.trans (congrArg (fun x => f x c) (f_Eq a b)) (f_Eq a c))) (eq_self a))
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-/
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#guard_msgs in
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#print ex1
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theorem ex1' (a b c : α) : f (f a b) c = a := by
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simp +implicitDefEqProofs [f_Eq]
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/--
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info: theorem ex1'.{u_1} : ∀ {α : Sort u_1} (a b c : α), f (f a b) c = a :=
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fun {α} a b c => of_eq_true (eq_self a)
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-/
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#guard_msgs in
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#print ex1'
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theorem ex2 (p : Nat → Bool) (x : Nat) (h : p x = true) : (if p x then 1 else 2) = 1 := by
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simp [h]
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/--
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info: theorem ex2 : ∀ (p : Nat → Bool) (x : Nat), p x = true → (if p x = true then 1 else 2) = 1 :=
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fun p x h =>
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of_eq_true
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(Eq.trans
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(congrArg (fun x => x = 1) (ite_cond_eq_true 1 2 (Eq.trans (congrArg (fun x => x = true) h) (eq_self true))))
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(eq_self 1))
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-/
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#guard_msgs in
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#print ex2
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