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 prop_forall {A B} {NA: NatDed A}:
forall P: B -> Prop, prop (forall b, P b) = ALL b: B, !! P b.