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 valid_init_is_global :
forall {F V} (prog:AST.program F V)
(R: list_norepet (map fst (prog_defs prog)))
m (G: Genv.init_mem prog = Some m)
b (VB: Mem.valid_block m b),
exists id, Genv.find_symbol (Genv.globalenv prog) id = Some b.