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_curry: forall {A} `{NatDed A} (S T: Type) (P: S * T -> A),
allp P = allp (fun s => allp (fun t => P (s, t))).