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Commit 43ee9e86 authored by Robbert Krebbers's avatar Robbert Krebbers
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Another absorbing instance for wand.

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theories/bi/derived_laws.v
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......@@ -1623,9 +1623,15 @@ Proof. intros. by rewrite /Absorbing -absorbingly_sep_l absorbing. Qed.
Global Instance sep_absorbing_r P Q : Absorbing Q → Absorbing (P ∗ Q).
Proof. intros. by rewrite /Absorbing -absorbingly_sep_r absorbing. Qed.
Global Instance wand_absorbing P Q : Absorbing Q → Absorbing (P -∗ Q).
Global Instance wand_absorbing_l P Q : Absorbing P → Absorbing (P -∗ Q).
Proof.
intros. rewrite /Absorbing /bi_absorbingly. apply wand_intro_l.
by rewrite assoc (sep_elim_l P) wand_elim_r.
Qed.
Global Instance wand_absorbing_r P Q : Absorbing Q → Absorbing (P -∗ Q).
Proof. intros. by rewrite /Absorbing absorbingly_wand !absorbing -absorbingly_intro. Qed.
Global Instance absorbingly_absorbing P : Absorbing (bi_absorbingly P).
Proof. rewrite /bi_absorbingly. apply _. Qed.
Global Instance plainly_absorbing P : Absorbing (bi_plainly P).
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