Section PRESERVATION.
Variable prog: program.
Variable tprog: program.
Hypothesis TRANSL: match_prog prog tprog.
Let ge := Genv.globalenv prog.
Let tge := Genv.globalenv tprog.
(** * Correctness of the code transformation *)
(** We now show that the transformed code after constant propagation has the same semantics as the original code. *)
Proof (Genv.find_symbol_match TRANSL).
Proof (Genv.senv_match TRANSL).

Lemma init_regs_lessdef:
forall rl vl1 vl2,
Val.lessdef_list vl1 vl2 ->
regs_lessdef (init_regs vl1 rl) (init_regs vl2 rl).