End FORWARD_SIMU_DIAGRAMS.
(** ** Forward simulation of transition sequences *)
Section SIMULATION_SEQUENCES.
Context L1 L2 index order match_states (S: fsim_properties L1 L2 index order match_states).

Lemma simulation_forever_silent:
forall i s1 s2,
Forever_silent L1 s1 -> match_states i s1 s2 ->
Forever_silent L2 s2.