Section SIMULATION_SEQUENCES.
Context L1 L2 index order match_states (S: fsim_properties L1 L2 index order match_states).

Lemma simulation_star:
forall s1 t s1', Star L1 s1 t s1' ->
forall i s2, match_states i s1 s2 ->
exists i', exists s2', Star L2 s2 t s2' /\ match_states i' s1' s2'.