Section PRESERVATION.
Variable prog: Cminor.program.
Variable tprog: CminorSel.program.
Let ge := Genv.globalenv prog.
Let tge := Genv.globalenv tprog.
Hypothesis TRANSF: match_prog prog tprog.
Proof (Genv.find_symbol_match TRANSF).
Proof (Genv.senv_match TRANSF).
Proof (Genv.find_funct_ptr_match TRANSF).

Lemma functions_translated:
forall (v v': val) (f: Cminor.fundef),
Genv.find_funct ge v = Some f ->
Val.lessdef v v' ->
exists cu tf, Genv.find_funct tge v' = Some tf /\ match_fundef cu f tf /\ linkorder cu prog.