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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 (fact 100) = fact 100.
Strategy expand [id].
Time Timeout 5 reflexivity. (* should be instant *)
(* Finished transaction in 0. secs (0.u,0.s) (successful) *)
Time Timeout 5 Defined.
(* Finished transaction in 0.001 secs (0.u,0.s) (successful) *)
Goal True.
let x := smart_global:(id) in unfold x.
let x := smart_global:(aid) in unfold x.
let x := smart_global:(idn) in unfold x.
Abort.
Goal id 0 = 0.
Opaque id.
assert_fails unfold_id.
Transparent id.
assert_succeeds unfold_id.
Opaque id.
Strategy 0 [id].
assert_succeeds unfold_id.
Strategy 1 [id].
assert_succeeds unfold_id.
Strategy -1 [id].
assert_succeeds unfold_id.
Strategy opaque [id].
assert_fails unfold_id.
Strategy transparent [id].
assert_succeeds unfold_id.
Opaque id.
Strategy expand [id].
assert_succeeds unfold_id.
reflexivity.
Qed.
Goal id 0 = 0.
Opaque aid.
assert_fails unfold_id.
Transparent aid.
assert_succeeds unfold_id.
Opaque aid.
Strategy 0 [aid].
assert_succeeds unfold_id.
Strategy 1 [aid].
assert_succeeds unfold_id.
Strategy -1 [aid].
assert_succeeds unfold_id.
Strategy opaque [aid].
assert_fails unfold_id.
Strategy transparent [aid].
assert_succeeds unfold_id.
Opaque aid.
Strategy expand [aid].
assert_succeeds unfold_id.
reflexivity.
Qed.
Goal id 0 = 0.
Opaque idn.
assert_fails unfold_id.
Transparent idn.
assert_succeeds unfold_id.
Opaque idn.
Strategy 0 [idn].
assert_succeeds unfold_id.
Strategy 1 [idn].
assert_succeeds unfold_id.
Strategy -1 [idn].
assert_succeeds unfold_id.
Strategy opaque [idn].
assert_fails unfold_id.
Strategy transparent [idn].
assert_succeeds unfold_id.
Opaque idn.
Strategy expand [idn].
assert_succeeds unfold_id.
reflexivity.
Qed.
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