Section TRANSL_LABEL.
Remark iterate_op_label:
forall op1 op2 l k,
(forall so, nolabel (op1 so)) ->
(forall so, nolabel (op2 so)) ->
tail_nolabel k (iterate_op op1 op2 l k).
Hint Resolve iterate_op_label: labels.
Remark loadimm_label:
forall r n k, tail_nolabel k (loadimm r n k).
Hint Resolve loadimm_label: labels.
Remark addimm_label:
forall r1 r2 n k, tail_nolabel k (addimm r1 r2 n k).
Hint Resolve addimm_label: labels.
Remark andimm_label:
forall r1 r2 n k, tail_nolabel k (andimm r1 r2 n k).
Hint Resolve andimm_label: labels.
Remark rsubimm_label:
forall r1 r2 n k, tail_nolabel k (rsubimm r1 r2 n k).
Hint Resolve rsubimm_label: labels.
Remark orimm_label:
forall r1 r2 n k, tail_nolabel k (orimm r1 r2 n k).
Hint Resolve orimm_label: labels.
Remark xorimm_label:
forall r1 r2 n k, tail_nolabel k (xorimm r1 r2 n k).
Hint Resolve xorimm_label: labels.
Remark indexed_memory_access_label:
forall mk_instr mk_immed base ofs k,
(forall r n, nolabel (mk_instr r n)) ->
tail_nolabel k (indexed_memory_access mk_instr mk_immed base ofs k).
Hint Resolve indexed_memory_access_label.
Remark loadind_label:
forall base ofs ty dst k c, loadind base ofs ty dst k = OK c -> tail_nolabel k c.
Remark storeind_label:
forall base ofs ty src k c, storeind src base ofs ty k = OK c -> tail_nolabel k c.
Remark save_lr_label:
forall ofs k, tail_nolabel k (save_lr ofs k).
Remark transl_cond_label:
forall cond args k c, transl_cond cond args k = OK c -> tail_nolabel k c.
Remark transl_op_label:
forall op args r k c, transl_op op args r k = OK c -> tail_nolabel k c.
Remark transl_memory_access_label:
forall (mk_instr_imm: ireg -> int -> instruction)
(mk_instr_gen: option (ireg -> shift_op -> instruction))
(mk_immed: int -> int)
(addr: addressing) (args: list mreg) c k,
transl_memory_access mk_instr_imm mk_instr_gen mk_immed addr args k = OK c ->
(forall r n, nolabel (mk_instr_imm r n)) ->
(match mk_instr_gen with
| None => True
| Some f => forall r sa, nolabel (f r sa)
end) ->
tail_nolabel k c.
End TRANSL_LABEL.
(** A valid branch in a piece of Mach code translates to a valid ``go to'' transition in the generated PPC code. *)

Lemma find_label_goto_label:
forall f tf lbl rs m c' b ofs,
Genv.find_funct_ptr ge b = Some (Internal f) ->
transf_function f = OK tf ->
rs PC = Vptr b ofs ->
Mach.find_label lbl f.(Mach.fn_code) = Some c' ->
exists tc', exists rs',
goto_label tf lbl rs m = Next rs' m
/\ transl_code_at_pc ge (rs' PC) b f c' false tf tc'
/\ forall r, r <> PC -> rs'#r = rs#r.