Definition val_obsC f v :=
    match v with
    | Vptr b n => match f b with
                 | Some b' => Vptr b' n
                 | None => Vundef
                 end
    | _ => v
    end.

Lemma mods_ren: forall f v1 v2 v1' v2' (Hval_obs: val_obs f v1 v1') (Hval_obs': val_obs f v2 v2'), Val.mods v1 v2 = Val.mods v1' v2'.