Local Open Scope pred.
Definition corable {A} {JA: Join A}{PA: Perm_alg A}{SA: Sep_alg A}
(P: pred A) := forall w, P w = P (core w).

Lemma corable_wand: forall {A:Type} {JA: Join A} {PA: Perm_alg A} {SaA: Sep_alg A} (P Q: pred A), corable P -> corable Q -> corable (P -* Q).