Commit 7298dd39 authored by Robbert Krebbers's avatar Robbert Krebbers

Prove `x ⋅ y ~~> x`.

parent 623adc39
......@@ -77,6 +77,12 @@ Lemma cmra_update_op x1 x2 y1 y2 : x1 ~~> y1 → x2 ~~> y2 → x1 ⋅ x2 ~~> y1
rewrite !cmra_update_updateP; eauto using cmra_updateP_op with congruence.
Lemma cmra_update_op_l x y : x y ~~> x.
Proof. intros n mz. rewrite comm cmra_opM_assoc. apply cmra_validN_op_r. Qed.
Lemma cmra_update_op_r x y : x y ~~> y.
Proof. rewrite comm. apply cmra_update_op_l. Qed.
Lemma cmra_update_valid0 x y : ({0} x x ~~> y) x ~~> y.
intros H n mz Hmz. apply H, Hmz.
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