Inductive plus: state -> state -> Prop :=
  | plus_left: forall s1 s2 s3,
      CCstep s1 s2 -> star s2 s3 -> plus s1 s3.Inductive plus: state -> state -> Prop :=
  | plus_left: forall s1 s2 s3,
      CCstep s1 s2 -> star s2 s3 -> plus s1 s3.

Lemma strip_skip'_loop2: forall f ve te m a3 s k1 k, CC.Kloop2 a3 s k1 = strip_skip' k -> star (CC.State f Sskip k ve te m) (CC.State f Sskip (CC.Kloop2 a3 s k1) ve te m).