Commit 9d629ec8 authored by Robbert Krebbers's avatar Robbert Krebbers

Frame preserving updates for op.

parent de82a00c
......@@ -327,6 +327,20 @@ Proof.
Lemma ra_updateP_weaken (P Q : A Prop) x : x : P ( y, P y Q y) x : Q.
Proof. eauto using ra_updateP_compose, ra_updateP_id. Qed.
Lemma ra_updateP_op (P1 P2 Q : A Prop) x1 x2 :
x1 : P1 x2 : P2 ( y1 y2, P1 y1 P2 y2 Q (y1 y2)) x1 x2 : Q.
intros Hx1 Hx2 Hy z n ?.
destruct (Hx1 (x2 z) n) as (y1&?&?); first by rewrite associative.
destruct (Hx2 (y1 z) n) as (y2&?&?);
first by rewrite associative (commutative _ x2) -associative.
exists (y1 y2); split; last rewrite (commutative _ y1) -associative; auto.
Lemma ra_update_op x1 x2 y1 y2 : x1 y1 x2 y2 x1 x2 y1 y2.
rewrite !cmra_update_updateP; eauto using ra_updateP_op with congruence.
End cmra.
Hint Extern 0 (_ {0} _) => apply cmra_includedN_0.
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