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_as_inj: forall mu12 mu23 (WD1: SM_wd mu12) (WD2: SM_wd mu23)
(SrcTgtLoc: locBlocksTgt mu12 = locBlocksSrc mu23)
(SrcTgtExt: extBlocksTgt mu12 = extBlocksSrc mu23),
as_inj (compose_sm mu12 mu23) =
compose_meminj (as_inj mu12) (as_inj mu23).