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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.
101 lines
2.5 KiB
Lean4
101 lines
2.5 KiB
Lean4
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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