8c7604f550
This PR modifies the `try?` framework, so each subsidiary tactic runs with a separate `maxHeartbeats` budget. --------- Co-authored-by: Rob23oba <152706811+Rob23oba@users.noreply.github.com>
100 lines
2.5 KiB
Text
100 lines
2.5 KiB
Text
module
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public meta import Lean.Elab.Tactic
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public import Lean.Elab.Tactic.Try
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public import Std.Tactic.BVDecide
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open Lean Elab Tactic Try
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elab tk:"eval_suggest" tac:tactic : tactic => do
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evalAndSuggest tk tac (originalMaxHeartbeats := 10^8)
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set_option hygiene false in
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macro "try_simple?" : tactic => `(tactic| eval_suggest (intros; attempt_all | rfl | (first | simp?; done | simp? +arith; done | simp_all) | grind?))
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opaque f : Nat → Nat
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@[simp, grind =] theorem fthm : f x = x := sorry
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/--
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info: Try these:
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[apply] simp +arith
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[apply] simp +arith only [Nat.reduceAdd, fthm]
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[apply] grind
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[apply] grind only [= fthm]
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[apply] grind => instantiate only [= fthm]
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-/
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#guard_msgs (info) in
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example (x : Nat) : 1 + 1 + f x = x + 2 := by
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try_simple?
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/--
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info: Try these:
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[apply] rfl
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[apply] simp
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[apply] simp only [Nat.succ_eq_add_one, Nat.add_left_cancel_iff]
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[apply] grind
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[apply] grind only
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-/
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#guard_msgs (info) in
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example (x : Nat) : x + 1 = Nat.succ x := by
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try_simple?
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/--
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info: Try these:
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[apply] · intros; rfl
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[apply] · intros; simp
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[apply] · intros; simp only [Nat.succ_eq_add_one, Nat.add_left_cancel_iff]
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[apply] · intros; grind
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[apply] · intros; grind only
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-/
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#guard_msgs (info) in
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example (x : Nat) : True → x + 1 = Nat.succ x := by
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try_simple?
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/--
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info: Try these:
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[apply] simp_all
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[apply] grind
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[apply] grind only
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-/
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#guard_msgs (info) in
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example (h : 0 + x = y) : f x = f y := by
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try_simple?
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macro "bad_tac" : tactic => `(tactic| eval_suggest (intros; (attempt_all | rfl | grind?); simp))
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/--
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error: Tactic `try?` failed: consider using `grind` manually, or `try? +missing` for partial proofs containing `sorry`
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⊢ True
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-/
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#guard_msgs (error) in
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example : True := by
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bad_tac
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macro "simple_tac" : tactic => `(tactic| eval_suggest (intros; skip; first | skip | simp))
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/--
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info: Try this:
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[apply] simp
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-/
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#guard_msgs (info) in
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example : True ∧ True := by
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simple_tac -- terminal `skip` should not succeed
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example : False := by
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fail_if_success simple_tac -- should not succeed
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sorry
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set_option hygiene false in
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macro "simple_tac2" : tactic => `(tactic| eval_suggest (intros; (simp only [Nat.zero_add]; simp only [Nat.one_mul]); simp [*]))
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/--
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info: Try this:
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[apply] · intros; simp only [Nat.zero_add]; simp only [Nat.one_mul]; simp [*]
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-/
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#guard_msgs (info) in
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example : x = 0 → 0 + 1*x = 0 := by
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simple_tac2
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example : x = 0 → 0 + 1*x = 0 := by
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· intros; (simp only [Nat.zero_add]; simp only [Nat.one_mul]); simp [*]
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