Definition MATCH (d:CMinSel_core) mu c1 m1 c2 m2:Prop :=
  match_states (restrict (as_inj mu) (vis mu)) c1 m1 c2 m2 /\
  REACH_closed m1 (vis mu) /\
  meminj_preserves_globals ge (as_inj mu) /\
  globalfunction_ptr_inject (as_inj mu) /\
  (forall b, isGlobalBlock ge b = true -> frgnBlocksSrc mu b = true) /\
  sm_valid mu m1 m2 /\ SM_wd mu /\ Mem.inject (as_inj mu) m1 m2.

Theorem transl_program_correct: forall (R: list_norepet (map fst (prog_defs prog))) entrypoints (entry_points_ok : forall v1 v2 sig, In (v1, v2, sig) entrypoints -> exists b f1 f2, v1 = Vptr b Int.zero /\ v2 = Vptr b Int.zero /\ Genv.find_funct_ptr ge b = Some f1 /\ Genv.find_funct_ptr tge b = Some f2) (init_mem: exists m0, Genv.init_mem prog = Some m0), SM_simulation.SM_simulation_inject cminsel_eff_sem rtl_eff_sem ge tge entrypoints.