Definition mem_forward (m1 m2:mem) :=
  forall b, Mem.valid_block m1 b ->
    (Mem.valid_block m2 b
     /\ (forall ofs p, Mem.perm m2 b ofs Max p -> Mem.perm m1 b ofs Max p)
     (*/\ readonly m1 b m2*)).

Lemma compose_meminjD_Some: forall j jj b b2 ofs2, (compose_meminj j jj) b = Some(b2,ofs2) -> exists b1, exists ofs1, exists ofs, j b = Some(b1,ofs1) /\ jj b1 = Some(b2,ofs) /\ ofs2=ofs1+ofs.