Ltac exploit_match:=
      unfold match_thread_target,match_thread_source,match_thread_compiled in *;
      match goal with
      | [ H: getThreadC ?i = _ ?c,
             H0: context[match_state2match_thread] |- _ ] =>
        rewrite H in H0; inversion H0; subst; simpl in *; clear H0
      end;
      fold match_thread_target in *;
      fold match_thread_source in *;
      fold match_thread_compiled in *.(* Build the concur_match *)
    Ltac destroy_ev_step_sum:=
      match goal with
      | [ H: ev_step_sum _ _ _ _ _ _ _ |- _ ] => inversion H; clear H
      end.

Lemma step2corestep_plus: forall (s1 s2: Smallstep.state (Asm.part_semantics Asm_g)) m1 t, Smallstep.plus (Asm.step (Genv.globalenv Asm_program)) (Smallstep.set_mem s1 m1) t s2 -> (corestep_plus (Asm_core.Asm_core_sem Asm_g)) s1 m1 s2 (Smallstep.get_mem s2).