(** Valid values are the ones that have no pointers outside the domain of f*)
  Definition valid_val (f: memren) (v : val) : Prop :=
    match v with
    | Vptr b _ =>
      exists b', f b = Some b'
    | _ => True
    end.Definition valid_memval (f: memren) (mv : memval) : Prop :=
    match mv with
    | Fragment v _ _ =>
      valid_val f v
    | _ => True
    end.

Lemma storebytes_wd_domain: forall (m m' : mem) mv b ofs f (Hdomain: domain_memren f m) (Hmval_wd: valid_memval_list f mv) (Hstore: Mem.storebytes m b ofs mv = Some m') (Hmem_wd: valid_mem m), valid_mem m' /\ domain_memren f m'.