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SepCancel: be more cautious in a few ways

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This commit is contained in:
Adam Chlipala 2016-04-19 18:36:25 -04:00
parent 68b01b1047
commit 60c21c07ec
1 changed files with 26 additions and 9 deletions
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35
SepCancel.v
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@ -211,13 +211,15 @@ Module Make(Import S : SEP).
Qed.
Ltac normalize0 :=
setoid_rewrite exis_gulp
|| setoid_rewrite lift_combine
|| setoid_rewrite star_assoc
|| setoid_rewrite star_combine_lift
|| setoid_rewrite star_comm_lift
|| setoid_rewrite star_assoc_lift
|| setoid_rewrite star_comm_exis.
match goal with
| [ |- context[star ?p (exis ?q)] ] => rewrite (exis_gulp p q)
| [ |- context[star (star ?p (lift ?q)) (lift ?r)] ] => rewrite (lift_combine p q r)
| [ |- context[star ?p (star ?q ?r)] ] => rewrite (star_assoc p q r)
| [ |- context[star (lift ?p) (lift ?q)] ] => rewrite (star_combine_lift p q)
| [ |- context[star (lift ?p) ?q ] ] => rewrite (star_comm_lift p q)
| [ |- context[star (star ?p (lift ?q)) ?r] ] => rewrite (star_assoc_lift p q r)
| [ |- context[star (exis ?p) ?q] ] => rewrite (star_comm_exis p q)
end.
Ltac normalizeL :=
(apply exis_left || apply lift_left; intro; try congruence)
@ -248,8 +250,11 @@ Module Make(Import S : SEP).
lift.
Qed.
Ltac normalize2 := setoid_rewrite lift_uncombine
|| setoid_rewrite star_assoc.
Ltac normalize2 :=
match goal with
| [ |- context[star ?p lift (?P /\ ?Q)] ] => rewrite (lift_uncombine p P Q)
| [ |- context[star ?p (star ?q ?r)] ] => rewrite (star_assoc p q r)
end.
Ltac normalizeLeft :=
let s := fresh "s" in intro s;
@ -307,7 +312,19 @@ Module Make(Import S : SEP).
reflexivity.
Qed.
Definition try_me_first (_ : hprop) := True.
Ltac cancel1 :=
match goal with
| [ |- ?p ===> ?q ] =>
forAllAtoms p ltac:(fun p0 =>
(let H := fresh in assert (H : try_me_first p0) by eauto; clear H);
sendToBack p0;
forAllAtoms q ltac:(fun q0 =>
(let H := fresh in assert (H : try_me_first q0) by eauto; clear H);
sendToBack q0;
apply star_cancel'))
end ||
match goal with
| [ |- _ ===> ?Q ] =>
match Q with