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_sepcon2 {A}{ND: NatDed A} {SL: SepLog A}:
forall T P (Q: T ->  A), sepcon P (allp Q) |-- allp (fun x => sepcon P (Q x)).