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_intern_separated:
forall mu12 mu12' mu23 mu23' m1 m2 m3
(inc12: intern_incr mu12 mu12')
(inc23: intern_incr mu23 mu23')
(InjSep12 : sm_inject_separated mu12 mu12' m1 m2)
(InjSep23 : sm_inject_separated mu23 mu23' m2 m3)
(WD12: SM_wd mu12) (WD12': SM_wd mu12') (WD23: SM_wd mu23) (WD23': SM_wd mu23')
(BlocksLoc: locBlocksTgt mu12 = locBlocksSrc mu23)
(BlocksExt: extBlocksTgt mu12 = extBlocksSrc mu23),
sm_inject_separated (compose_sm mu12 mu23)
(compose_sm mu12' mu23') m1 m3.