Module R := R.
Hint Resolve (@subp_sepcon _ Join_rmap Perm_rmap Sep_rmap): contractive.
unfold identity_rmap; intros.
rewrite R.unsquash_squash.
simpl.
apply extensionality; intro l.
unfold compose; simpl; auto.
Qed.
(* Lemma make_simple_rmap: forall n (f: AV.address -> resource) , AV.valid (fun l => res_option (f l)) -> (forall l, match f l with YES _ _ (SomeP _ _) => False | _ => True end) -> exists phi:rmap, level phi = n /\ resource_at phi = f. *)

Lemma deallocate:
forall (phi: rmap) (f g : AV.address -> resource),
AV.valid (res_option oo f) -> AV.valid (res_option oo g) ->
(forall l, join  (f l) (g l) (phi@l)) ->
exists phi1, exists phi2,
join phi1 phi2 phi /\ resource_at phi1 = f.