Section INJ_SIMULATION_STAR_WF.
Variable order: C1 -> C1 -> Prop.
Hypothesis order_wf: well_founded order.
Hypothesis inj_simulation:
forall c1 m1 c1' m1',  corestep Sem1 ge1 c1 m1 c1' m1' ->
forall j c2 m2, match_states c1 j c1 m1 c2 m2 ->
exists c2', exists m2', exists j',
inject_incr j j' /\
inject_separated j j' m1 m2 /\
match_states c1' j' c1' m1' c2' m2' /\
(corestep_plus Sem2 ge2  c2 m2 c2' m2' \/
(corestep_star Sem2 ge2 c2 m2 c2' m2' /\ order c1' c1)).

Lemma  inj_simulation_star_wf:
Forward_simulation_inj.Forward_simulation_inject Sem1 Sem2 ge1 ge2 entry_points.