Corollary mem_obs_eq_domain_ren:
    forall f m m',
      mem_obs_eq f m m' ->
      domain_memren f m.

Lemma store_val_obs: forall (mc mc' mf : mem) (f:memren) (b1 b2 : block) chunk (ofs: Z) v1 v2 (Hstore: Mem.store chunk mc b1 ofs v1 = Some mc') (Hf: f b1 = Some b2) (Hval_obs_eq: val_obs f v1 v2) (Hobs_eq: mem_obs_eq f mc mf), exists mf', Mem.store chunk mf b2 ofs v2 = Some mf' /\ mem_obs_eq f mc' mf'.