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

Lemma meminj_preserves_globals_initSM: forall {F1 V1} (ge: Genv.t F1 V1) j (PG : meminj_preserves_globals ge j) DomS DomT X Y, meminj_preserves_globals ge (extern_of (initial_SM DomS DomT X Y j)).