End CaseEXT.
Section CaseINJ.
Section INJEQ.

Lemma injeq: forall
(SimInj12 : Forward_simulation_inject Sem1 Sem2 g1 g2 epts12)
(SimEq23 : Forward_simulation_equals Sem2 Sem3 g2 g3 epts23),
Forward_simulation_inject Sem1 Sem3 g1 g3 epts13.