Definition genvs_domain_eq {F1 F2 V1 V2: Type}
(ge1: Genv.t F1 V1) (ge2: Genv.t F2 V2) :=
(forall b, fst (genv2blocks ge1) b <-> fst (genv2blocks ge2) b) /\
(forall b, snd (genv2blocks ge1) b <-> snd (genv2blocks ge2) b) /\
(forall b, (exists f, Genv.find_funct_ptr ge1 b = Some f)
<-> (exists f, Genv.find_funct_ptr ge2 b = Some f)).

Lemma genvs_domain_eq_match_genvs: forall {F1 V1 F2 V2:Type}
(ge1: Genv.t F1 V1) (ge2: Genv.t F2 V2),
genvs_domain_eq ge1 ge2 -> genv2blocks ge1 = genv2blocks ge2.