(* 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 rmap_ext: forall phi1 phi2,
level phi1 = level phi2 ->
(forall l, phi1@l = phi2@l) ->
phi1=phi2.