(** Relational presentation for the transformation of functions, fundefs, and variables. *)

Inductive tr_function: Csyntax.function -> Clight.function -> Prop :=
  | tr_function_intro: forall f tf,
      tr_stmt f.(Csyntax.fn_body) tf.(fn_body) ->
      fn_return tf = Csyntax.fn_return f ->
      fn_callconv tf = Csyntax.fn_callconv f ->
      fn_params tf = Csyntax.fn_params f ->
      fn_vars tf = Csyntax.fn_vars f ->
      tr_function f tf.(** Relational presentation for the transformation of functions, fundefs, and variables. *)

Inductive tr_function: Csyntax.function -> Clight.function -> Prop :=
  | tr_function_intro: forall f tf,
      tr_stmt f.(Csyntax.fn_body) tf.(fn_body) ->
      fn_return tf = Csyntax.fn_return f ->
      fn_callconv tf = Csyntax.fn_callconv f ->
      fn_params tf = Csyntax.fn_params f ->
      fn_vars tf = Csyntax.fn_vars f ->
      tr_function f tf.Inductive tr_fundef: Csyntax.fundef -> Clight.fundef -> Prop :=
  | tr_internal: forall f tf,
      tr_function f tf ->
      tr_fundef (Internal f) (Internal tf)
  | tr_external: forall ef targs tres cconv,
      tr_fundef (External ef targs tres cconv) (External ef targs tres cconv).Inductive tr_fundef: Csyntax.fundef -> Clight.fundef -> Prop :=
  | tr_internal: forall f tf,
      tr_function f tf ->
      tr_fundef (Internal f) (Internal tf)
  | tr_external: forall ef targs tres cconv,
      tr_fundef (External ef targs tres cconv) (External ef targs tres cconv).Inductive tr_fundef: Csyntax.fundef -> Clight.fundef -> Prop :=
  | tr_internal: forall f tf,
      tr_function f tf ->
      tr_fundef (Internal f) (Internal tf)
  | tr_external: forall ef targs tres cconv,
      tr_fundef (External ef targs tres cconv) (External ef targs tres cconv).

Lemma transl_fundef_spec: forall fd tfd, transl_fundef fd = OK tfd -> tr_fundef fd tfd.