End EFF_INJ_SIMULATION_PLUS.
End Eff_INJ_SIMU_DIAGRAMS.
Definition compose_sm (mu1 mu2 : SM_Injection) : SM_Injection :=
Build_SM_Injection
(locBlocksSrc mu1) (locBlocksTgt mu2)
(pubBlocksSrc mu1) (pubBlocksTgt mu2)
(compose_meminj (local_of mu1) (local_of mu2))
(extBlocksSrc mu1) (extBlocksTgt mu2)
(frgnBlocksSrc mu1) (frgnBlocksTgt mu2)
(compose_meminj (extern_of mu1) (extern_of mu2)).

Lemma compose_sm_wd: forall mu1 mu2 (WD1: SM_wd mu1) (WD2:SM_wd mu2)
(HypPub: forall b, pubBlocksTgt mu1 b = true ->
pubBlocksSrc mu2 b = true)
(HypFrg: forall b, frgnBlocksTgt mu1 b = true ->
frgnBlocksSrc mu2 b = true),
SM_wd (compose_sm mu1 mu2).