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(* as published by the Free Software Foundation; either version 2.1   *)
(* of the License, or (at your option) any later version.             *)
(*                                                                    *)
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(* GNU General Public License for more details.                       *)
(*                                                                    *)
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(* License along with this program; if not, write to the Free         *)
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(* 02110-1301 USA                                                     *)
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(*          Projet Formel - Calculus of Inductive Constructions V5.10        *)
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(*									     *)
(*	                     Identity Functor             		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export Functor.
Set Implicit Arguments.
Unset Strict Implicit.
(* Id(C) : C -> C *)
Section idCat.
Variable C : Category.
Definition Id_CAT_ob (a : C) := a.
Definition Id_CAT_map (a b : C) := Id_map (a --> b).

(* Specifications: *)
Lemma Id_CAT_comp_law : Fcomp_law (FOb:=Id_CAT_ob) Id_CAT_map.
Lemma Id_CAT_id_law : Fid_law (FOb:=Id_CAT_ob) Id_CAT_map.
Canonical Structure Id_CAT := Build_Functor Id_CAT_comp_law Id_CAT_id_law.