Commit 13c5c1ad authored by Paolo G. Giarrusso's avatar Paolo G. Giarrusso Committed by Ralf Jung
Browse files

Strengthen persistent_sep_dup for intuitionistic propositions

parent 7f8b01a9
......@@ -63,6 +63,8 @@ With this release, we dropped support for Coq 8.9.
`big_sepL2_forall`, `big_sepMS_forall`, `big_sepMS_impl`, and `big_sepMS_dup`.
* Remove `bi.tactics` with tactics that predate the proofmode (and that have not
been working properly for quite some time).
* Strengthen `persistent_sep_dup` to support propositions that are persistent
and either affine or absorbing.
**Changes in `proofmode`:**
......@@ -729,13 +729,13 @@ Proof.
rewrite -(absorbing emp) absorbingly_sep_l left_id //.
Lemma sep_elim_l P Q `{H : TCOr (Affine Q) (Absorbing P)} : P Q P.
Lemma sep_elim_l P Q `{HQP : TCOr (Affine Q) (Absorbing P)} : P Q P.
destruct H.
destruct HQP.
- by rewrite (affine Q) right_id.
- by rewrite (True_intro Q) comm.
Lemma sep_elim_r P Q `{H : TCOr (Affine P) (Absorbing Q)} : P Q Q.
Lemma sep_elim_r P Q `{TCOr (Affine P) (Absorbing Q)} : P Q Q.
Proof. by rewrite comm sep_elim_l. Qed.
Lemma sep_and P Q :
......@@ -1365,8 +1365,16 @@ Proof.
- by rewrite persistent_and_affinely_sep_r_1 affinely_elim.
Lemma persistent_sep_dup P `{!Persistent P, !Absorbing P} : P P P.
Proof. by rewrite -(persistent_persistently P) -persistently_sep_dup. Qed.
Lemma persistent_sep_dup P
`{HP : !TCOr (Affine P) (Absorbing P), !Persistent P} :
P P P.
destruct HP; last by rewrite -(persistent_persistently P) -persistently_sep_dup.
apply (anti_symm ()).
- by rewrite -{1}(intuitionistic_intuitionistically P)
intuitionistically_sep_dup intuitionistically_elim.
- by rewrite {1}(affine P) left_id.
Lemma persistent_entails_l P Q `{!Persistent Q} : (P Q) P Q P.
Proof. intros. rewrite -persistent_and_sep_1; auto. Qed.
......@@ -67,7 +67,7 @@ Section fractional.
(** Fractional and logical connectives *)
Global Instance persistent_fractional P :
Persistent P Absorbing P Fractional (λ _, P).
Proof. intros ?? q q'. by apply bi.persistent_sep_dup. Qed.
Proof. intros ?? q q'. apply: bi.persistent_sep_dup. Qed.
Global Instance fractional_sep Φ Ψ :
Fractional Φ Fractional Ψ Fractional (λ q, Φ q Ψ q)%I.
Markdown is supported
0% or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment