Definition alloc_right_sm (mu: SM_Injection) sp: SM_Injection :=
Build_SM_Injection (locBlocksSrc mu)
(fun b => eq_block b sp || locBlocksTgt mu b)
(pubBlocksSrc mu) (pubBlocksTgt mu)
(local_of mu)
(extBlocksSrc mu) (extBlocksTgt mu)
(frgnBlocksSrc mu) (frgnBlocksTgt mu) (extern_of mu).

Lemma alloc_right_sm_wd: forall mu sp (WD: SM_wd mu)
(NEW1: DomTgt mu sp = false),
SM_wd (alloc_right_sm mu sp).