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(*                                                                    *)
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(* GNU General Public License for more details.                       *)
(*                                                                    *)
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(* 02110-1301 USA                                                     *)
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(*          Projet Formel - Calculus of Inductive Constructions V5.10        *)
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(*									     *)
(*	                   Full SubCategory : Inclusion functor		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export FullSubCat.
Require Export FunctorProperty.
Set Implicit Arguments.
Unset Strict Implicit.
(* Inclusion Functor *)
Section fsc_inc_def.
Variables (C : Category) (I : Type) (a : I -> C).
Definition Inc_map (i j : FullSubCat a) := Id_map (a i --> a j).

(* Specifications: *)
Lemma Inc_comp_law : Fcomp_law Inc_map.
Lemma Inc_id_law : Fid_law Inc_map.
Canonical Structure FSC_inc := Build_Functor Inc_comp_law Inc_id_law.