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

Corollary forward_simulation_same_safe_behavior:
forall L1 L2, forward_simulation L1 L2 ->
forall beh,
program_behaves L1 beh -> not_wrong beh ->
program_behaves L2 beh.