Inductive ev_plus ge: state -> mem -> _ -> state -> mem -> Prop :=
  | ev_plus_left: forall s1 m1 ev1 s2 m2 ev2 s3 m3,
      ev_step (CLC_evsem ge) s1 m1 ev1 s2 m2 -> ev_star ge s2 m2 ev2 s3 m3 ->
      ev_plus ge s1 m1 (ev1 ++ ev2) s3 m3.Inductive ev_plus ge: state -> mem -> _ -> state -> mem -> Prop :=
  | ev_plus_left: forall s1 m1 ev1 s2 m2 ev2 s3 m3,
      ev_step (CLC_evsem ge) s1 m1 ev1 s2 m2 -> ev_star ge s2 m2 ev2 s3 m3 ->
      ev_plus ge s1 m1 (ev1 ++ ev2) s3 m3.

Lemma ev_star_plus_trans: forall ge {s1 m1 ev1 s2 m2}, ev_star ge s1 m1 ev1 s2 m2 -> forall {ev2 s3 m3}, ev_plus ge s2 m2 ev2 s3 m3 -> ev_plus ge s1 m1 (ev1 ++ ev2) s3 m3.