(** * Relational specification of the transformation *)

Inductive match_fundef (p: Clight.program) : Clight.fundef -> Csharpminor.fundef -> Prop :=
  | match_fundef_internal: forall f tf,
      transl_function p.(prog_comp_env) f = OK tf ->
      match_fundef p (Ctypes.Internal f) (AST.Internal tf)
  | match_fundef_external: forall ef args res cc,
      ef_sig ef = signature_of_type args res cc ->
      match_fundef p (Ctypes.External ef args res cc) (AST.External ef).(** * Relational specification of the transformation *)

Inductive match_fundef (p: Clight.program) : Clight.fundef -> Csharpminor.fundef -> Prop :=
  | match_fundef_internal: forall f tf,
      transl_function p.(prog_comp_env) f = OK tf ->
      match_fundef p (Ctypes.Internal f) (AST.Internal tf)
  | match_fundef_external: forall ef args res cc,
      ef_sig ef = signature_of_type args res cc ->
      match_fundef p (Ctypes.External ef args res cc) (AST.External ef).(** * Relational specification of the transformation *)

Inductive match_fundef (p: Clight.program) : Clight.fundef -> Csharpminor.fundef -> Prop :=
  | match_fundef_internal: forall f tf,
      transl_function p.(prog_comp_env) f = OK tf ->
      match_fundef p (Ctypes.Internal f) (AST.Internal tf)
  | match_fundef_external: forall ef args res cc,
      ef_sig ef = signature_of_type args res cc ->
      match_fundef p (Ctypes.External ef args res cc) (AST.External ef).Definition match_varinfo (v: type) (tv: unit) := True.Definition match_prog (p: Clight.program) (tp: Csharpminor.program) : Prop :=
  match_program_gen match_fundef match_varinfo p p tp.

(* Specifications: *)
Lemma transf_program_match: forall p tp, transl_program p = OK tp -> match_prog p tp.