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|
Notation aid := (@id) (only parsing).
Notation idn := id (only parsing).
Ltac unfold_id := unfold id.
Fixpoint fact (n : nat)
:= match n with
| 0 => 1
| S n => (S n) * fact n
end.
Opaque id.
Goal id 0 = 0.
with_strategy
opaque [id]
(with_strategy
opaque [id id]
(assert_fails unfold_id;
with_strategy
transparent [id]
(assert_succeeds unfold_id;
with_strategy
opaque [id]
(with_strategy
0 [id]
(assert_succeeds unfold_id;
with_strategy
1 [id]
(assert_succeeds unfold_id;
with_strategy
-1 [id]
(assert_succeeds unfold_id;
with_strategy
opaque [id]
(assert_fails unfold_id;
with_strategy
transparent [id]
(assert_succeeds unfold_id;
with_strategy
opaque [id]
(with_strategy
expand [id]
(assert_succeeds unfold_id;
let l := strategy_level:(expand) in
with_strategy
l [id]
(let idx := smart_global:(id) in
cbv [idx];
(* This should succeed, but doesn't, basically due to https://github.com/coq/coq/issues/11202 *)
assert_fails
(let idx := smart_global:(id) in
with_strategy
expand [idx]
idtac);
reflexivity)))))))))))).
Qed.
Goal id 0 = 0.
with_strategy
opaque [aid]
(assert_fails unfold_id;
with_strategy
transparent [aid]
(assert_succeeds unfold_id;
with_strategy
opaque [aid]
(with_strategy
0 [aid]
(assert_succeeds unfold_id;
with_strategy
1 [aid]
(assert_succeeds unfold_id;
with_strategy
-1 [aid]
(assert_succeeds unfold_id;
with_strategy
opaque [aid]
(assert_fails unfold_id;
with_strategy
transparent [aid]
(assert_succeeds unfold_id;
with_strategy
opaque [aid]
(with_strategy
expand [aid]
(assert_succeeds unfold_id;
reflexivity)))))))))).
Qed.
Goal id 0 = 0.
with_strategy
opaque [idn]
(assert_fails unfold_id;
with_strategy
transparent [idn]
(assert_succeeds unfold_id;
with_strategy
opaque [idn]
(with_strategy
0 [idn]
(assert_succeeds unfold_id;
with_strategy
1 [idn]
(assert_succeeds unfold_id;
with_strategy
-1 [idn]
(assert_succeeds unfold_id;
with_strategy
opaque [idn]
(assert_fails unfold_id;
with_strategy
transparent [idn]
(assert_succeeds unfold_id;
with_strategy
opaque [idn]
(with_strategy
expand [idn]
(assert_succeeds unfold_id;
reflexivity)))))))))).
Qed.
(* test that strategy tactic does not persist after the execution of the tactic *)
Opaque id.
Goal id 0 = 0.
assert_fails unfold_id;
(with_strategy transparent [id] assert_succeeds unfold_id);
assert_fails unfold_id.
assert_fails unfold_id.
with_strategy transparent [id] assert_succeeds unfold_id.
assert_fails unfold_id.
reflexivity.
Qed.
(* test that the strategy tactic does persist through abstract *)
Opaque id.
Goal id 0 = 0.
Time Timeout 5
with_strategy
expand [id]
assert (id (fact 100) = fact 100) by abstract reflexivity.
reflexivity.
Time Timeout 5 Defined.
(* test that it works even with [Qed] *)
Goal id 0 = 0.
Proof using Type.
Time Timeout 5
abstract
(with_strategy
expand [id]
assert (id (fact 100) = fact 100) by abstract reflexivity;
reflexivity).
Time Timeout 5 Qed.
(* test that the strategy is correctly reverted after closing the goal completely *)
Goal id 0 = 0.
assert (id 0 = 0) by with_strategy expand [id] reflexivity.
Fail unfold id.
reflexivity.
Qed.
(* test that the strategy is correctly reverted after failure *)
Goal id 0 = 0.
let id' := id in
(try with_strategy expand [id] fail); assert_fails unfold id'.
Fail unfold id.
(* a more complicated test involving a success and then a failure after backtracking *)
let id' := id in
((with_strategy expand [id] (unfold id' + fail)) + idtac);
lazymatch goal with |- id 0 = 0 => idtac end;
assert_fails unfold id'.
Fail unfold id.
reflexivity.
Qed.
(* test multi-success *)
Goal id (fact 100) = fact 100.
Timeout 1
(with_strategy -1 [id] (((idtac + (abstract reflexivity))); fail)).
Undo.
Timeout 1
let id' := id in
(with_strategy -1 [id] (((idtac + (unfold id'; reflexivity))); fail)).
Undo.
Timeout 1
(with_strategy -1 [id] (idtac + (abstract reflexivity))); fail. (* should not time out *)
Undo.
with_strategy -1 [id] abstract reflexivity.
Defined.
(* check that module substitutions happen correctly *)
Module F.
Definition id {T} := @id T.
Opaque id.
Ltac with_transparent_id tac := with_strategy transparent [id] tac.
End F.
Opaque F.id.
Goal F.id 0 = F.id 0.
Fail unfold F.id.
F.with_transparent_id ltac:(progress unfold F.id).
Undo.
F.with_transparent_id ltac:(let x := constr:(@F.id) in progress unfold x).
Abort.
Module Type Empty. End Empty.
Module E. End E.
Module F2F (E : Empty).
Definition id {T} := @id T.
Opaque id.
Ltac with_transparent_id tac := with_strategy transparent [id] tac.
End F2F.
Module F2 := F2F E.
Opaque F2.id.
Goal F2.id 0 = F2.id 0.
Fail unfold F2.id.
F2.with_transparent_id ltac:(progress unfold F2.id).
Undo.
F2.with_transparent_id ltac:(let x := constr:(@F2.id) in progress unfold x).
Abort.
(* test the tactic notation entries *)
Tactic Notation "with_strategy0" strategy_level(l) "[" ne_smart_global_list(v) "]" tactic3(tac) := with_strategy l [ v ] tac.
Tactic Notation "with_strategy1" strategy_level_or_var(l) "[" ne_smart_global_list(v) "]" tactic3(tac) := with_strategy l [ v ] tac.
Tactic Notation "with_strategy2" strategy_level(l) "[" constr(v) "]" tactic3(tac) := with_strategy l [ v ] tac.
Tactic Notation "with_strategy3" strategy_level_or_var(l) "[" constr(v) "]" tactic3(tac) := with_strategy l [ v ] tac.
(* [with_strategy0] should work, but it doesn't, due to a combination of https://github.com/coq/coq/issues/11202 and https://github.com/coq/coq/issues/11209 *)
Opaque id.
Goal id 0 = 0.
Fail (* should work, not Fail *) with_strategy0 opaque [id] idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [id id] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy0 transparent [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [id] idtac.
Fail (* should work, not Fail *) with_strategy0 0 [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 1 [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 -1 [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [id] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy0 transparent [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [id] idtac.
Fail (* should work, not Fail *) with_strategy0 expand [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
(* This should succeed, but doesn't, basically due to https://github.com/coq/coq/issues/11202 *)
Fail let idx := smart_global:(id) in
with_strategy0 expand [idx] idtac.
reflexivity.
Qed.
Goal id 0 = 0.
Fail (* should work, not Fail *) with_strategy0 opaque [aid] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy0 transparent [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [aid] idtac.
Fail (* should work, not Fail *) with_strategy0 0 [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 1 [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 -1 [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [aid] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy0 transparent [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [aid] idtac.
Fail (* should work, not Fail *) with_strategy0 expand [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
reflexivity.
Qed.
Goal id 0 = 0.
Fail (* should work, not Fail *) with_strategy0 opaque [idn] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy0 transparent [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [idn] idtac.
Fail (* should work, not Fail *) with_strategy0 0 [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 1 [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 -1 [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [idn] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy0 transparent [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy0 opaque [idn] idtac.
Fail (* should work, not Fail *) with_strategy0 expand [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
reflexivity.
Qed.
(* [with_strategy1] should work, but it doesn't, due to a combination of https://github.com/coq/coq/issues/11202 and https://github.com/coq/coq/issues/11209 *)
Opaque id.
Goal id 0 = 0.
Fail (* should work, not Fail *) with_strategy1 opaque [id] idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [id id] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy1 transparent [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [id] idtac.
Fail (* should work, not Fail *) with_strategy1 0 [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 1 [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 -1 [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [id] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy1 transparent [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [id] idtac.
Fail (* should work, not Fail *) with_strategy1 expand [id] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) let l := strategy_level:(expand) in
with_strategy1 l [id] idtac.
(* This should succeed, but doesn't, basically due to https://github idtac.com/coq/coq/issues/11202 *)
Fail let idx := smart_global:(id) in
with_strategy1 expand [idx] idtac.
reflexivity.
Qed.
Goal id 0 = 0.
Fail (* should work, not Fail *) with_strategy1 opaque [aid] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy1 transparent [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [aid] idtac.
Fail (* should work, not Fail *) with_strategy1 0 [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 1 [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 -1 [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [aid] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy1 transparent [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [aid] idtac.
Fail (* should work, not Fail *) with_strategy1 expand [aid] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
reflexivity.
Qed.
Goal id 0 = 0.
Fail (* should work, not Fail *) with_strategy1 opaque [idn] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy1 transparent [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [idn] idtac.
Fail (* should work, not Fail *) with_strategy1 0 [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 1 [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 -1 [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [idn] idtac.
assert_fails unfold_id.
Fail (* should work, not Fail *) with_strategy1 transparent [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
Fail (* should work, not Fail *) with_strategy1 opaque [idn] idtac.
Fail (* should work, not Fail *) with_strategy1 expand [idn] idtac.
Fail (* should work, not Fail *) assert_succeeds unfold_id idtac.
reflexivity.
Qed.
Opaque id.
Goal id 0 = 0.
with_strategy2
opaque [id]
(with_strategy2
opaque [id]
(assert_fails unfold_id;
with_strategy2
transparent [id]
(assert_succeeds unfold_id;
with_strategy2
opaque [id]
(with_strategy2
0 [id]
(assert_succeeds unfold_id;
with_strategy2
1 [id]
(assert_succeeds unfold_id;
with_strategy2
-1 [id]
(assert_succeeds unfold_id;
with_strategy2
opaque [id]
(assert_fails unfold_id;
with_strategy2
transparent [id]
(assert_succeeds unfold_id;
with_strategy2
opaque [id]
(with_strategy2
expand [id]
(assert_succeeds unfold_id))))))))))).
(* This should succeed, but doesn't, basically due to https://github.com/coq/coq/issues/11202 *)
Fail let idx := smart_global:(id) in
with_strategy2 expand [idx] idtac.
reflexivity.
Qed.
Goal id 0 = 0.
with_strategy2
opaque [aid]
(with_strategy2
opaque [aid]
(assert_fails unfold_id;
with_strategy2
transparent [aid]
(assert_succeeds unfold_id;
with_strategy2
opaque [aid]
(with_strategy2
0 [aid]
(assert_succeeds unfold_id;
with_strategy2
1 [aid]
(assert_succeeds unfold_id;
with_strategy2
-1 [aid]
(assert_succeeds unfold_id;
with_strategy2
opaque [aid]
(assert_fails unfold_id;
with_strategy2
transparent [aid]
(assert_succeeds unfold_id;
with_strategy2
opaque [aid]
(with_strategy2
expand [aid]
(assert_succeeds unfold_id))))))))))).
reflexivity.
Qed.
Goal id 0 = 0.
with_strategy2
opaque [idn]
(with_strategy2
opaque [idn]
(assert_fails unfold_id;
with_strategy2
transparent [idn]
(assert_succeeds unfold_id;
with_strategy2
opaque [idn]
(with_strategy2
0 [idn]
(assert_succeeds unfold_id;
with_strategy2
1 [idn]
(assert_succeeds unfold_id;
with_strategy2
-1 [idn]
(assert_succeeds unfold_id;
with_strategy2
opaque [idn]
(assert_fails unfold_id;
with_strategy2
transparent [idn]
(assert_succeeds unfold_id;
with_strategy2
opaque [idn]
(with_strategy2
expand [idn]
(assert_succeeds unfold_id))))))))))).
reflexivity.
Qed.
Opaque id.
Goal id 0 = 0.
with_strategy3
opaque [id]
(with_strategy3
opaque [id]
(assert_fails unfold_id;
with_strategy3
transparent [id]
(assert_succeeds unfold_id;
with_strategy3
opaque [id]
(with_strategy3
0 [id]
(assert_succeeds unfold_id;
with_strategy3
1 [id]
(assert_succeeds unfold_id;
with_strategy3
-1 [id]
(assert_succeeds unfold_id;
with_strategy3
opaque [id]
(assert_fails unfold_id;
with_strategy3
transparent [id]
(assert_succeeds unfold_id;
with_strategy3
opaque [id]
(with_strategy3
expand [id]
(assert_succeeds unfold_id))))))))))).
(* This should succeed, but doesn't, basically due to https://github.com/coq/coq/issues/11202 *)
Fail let idx := smart_global:(id) in
with_strategy3 expand [idx] idtac.
reflexivity.
Qed.
Goal id 0 = 0.
with_strategy3
opaque [aid]
(with_strategy3
opaque [aid]
(assert_fails unfold_id;
with_strategy3
transparent [aid]
(assert_succeeds unfold_id;
with_strategy3
opaque [aid]
(with_strategy3
0 [aid]
(assert_succeeds unfold_id;
with_strategy3
1 [aid]
(assert_succeeds unfold_id;
with_strategy3
-1 [aid]
(assert_succeeds unfold_id;
with_strategy3
opaque [aid]
(assert_fails unfold_id;
with_strategy3
transparent [aid]
(assert_succeeds unfold_id;
with_strategy3
opaque [aid]
(with_strategy3
expand [aid]
(assert_succeeds unfold_id))))))))))).
reflexivity.
Qed.
Goal id 0 = 0.
with_strategy3
opaque [idn]
(with_strategy3
opaque [idn]
(assert_fails unfold_id;
with_strategy3
transparent [idn]
(assert_succeeds unfold_id;
with_strategy3
opaque [idn]
(with_strategy3
0 [idn]
(assert_succeeds unfold_id;
with_strategy3
1 [idn]
(assert_succeeds unfold_id;
with_strategy3
-1 [idn]
(assert_succeeds unfold_id;
with_strategy3
opaque [idn]
(assert_fails unfold_id;
with_strategy3
transparent [idn]
(assert_succeeds unfold_id;
with_strategy3
opaque [idn]
(with_strategy3
expand [idn]
(assert_succeeds unfold_id))))))))))).
reflexivity.
Qed.
(* Fake out coqchk to work around what is essentially COQBUG(https://github.com/coq/coq/issues/12200) *)
Reset Initial.
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