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(*                                                                    *)
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(*                                                                    *)
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(* 02110-1301 USA                                                     *)
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(*          Projet Formel - Calculus of Inductive Constructions V5.10        *)
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(*									     *)
(*	                      CoLimits                  		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export Limit.
Set Implicit Arguments.
Unset Strict Implicit.
Section def_cocone.
Variables (J C : Category) (F : Functor J C) (c : C).
SubClass CoCone := NT F (Const J c).
Section cocone_nt.
Variable T : forall a : J, F a --> c.
Definition CoCone_law :=
forall (i j : J) (g : i --> j), FMor F g o T j =_S T i.
(* comment construire un coCone *)

(* Specifications: *)
Lemma Prf_CoCone_nt_law : CoCone_law -> NT_law (G:=Const J c) T.
Coercion Prf_CoCone_nt_law : CoCone_law >-> NT_law.