Hint Resolve @corable_andp @corable_orp @corable_allp @corable_exp
@corable_imp @corable_prop @corable_sepcon @corable_wand @corable_later.
Hint Resolve @corable_prop : norm.
(* The followings are not in auto-rewrite lib. *)

Lemma andp_prop_derives: forall {A} {NA: NatDed A} (P P': Prop) (Q Q': A),
(P <-> P') ->
(P -> Q |-- Q') ->
!! P && Q |-- !! P' && Q'.