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 sepcon_corable_corable:
forall {A} `{CorableSepLog A} {ClS: ClassicalSep A} P Q, corable P -> corable Q -> P * Q = P && Q.