Instance andp_imp_CCC: forall A {ND : NatDed A}, CCCviaNatDed A andp imp.
Instance sepcon_wand_CCC: forall A {ND : NatDed A} {SL: SepLog A}, CCCviaNatDed A sepcon wand.

Lemma allp_andp: forall {A B: Type} `{NatDed A} (P Q: B -> A), allp (P && Q) = allp P && allp Q.