Definition bnd_from_init m := bounded_maps.bounded_map (snd (getMaxPerm m)) /\ (Mem.mem_access m).1 = fun z k => None.

Lemma mem_storebytes_counded_init:
forall m m' b ofs bytes,
bnd_from_init m ->
Mem.storebytes m b ofs bytes = Some m' ->
bnd_from_init m'.