apply prop_ext; intuition.
Qed.

Lemma TT_sepcon_TT {A} {JA: Join A}{PA: Perm_alg A}{SA: Sep_alg A}: TT * TT = TT.
Definition ewand {A} {JA: Join A} (P Q: pred A) : pred A :=
fun w => exists w1, exists w2, join w1 w w2 /\ P w1 /\ Q w2.