Definition isGlobalBlock {F V : Type} (ge : Genv.t F V) :=
  fun b => (fst (genv2blocksBool ge)) b || (snd (genv2blocksBool ge)) b.

Lemma meminj_preserves_globals_init_REACH_frgn: forall {F1 V1} (ge: Genv.t F1 V1) j (PG : meminj_preserves_globals ge j) DomS DomT m R Y (HR: forall b, isGlobalBlock ge b = true -> R b = true), (forall b, isGlobalBlock ge b = true -> frgnBlocksSrc (initial_SM DomS DomT (REACH m R) Y j) b = true).