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(* 02110-1301 USA                                                     *)
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(*          Projet Formel - Calculus of Inductive Constructions V5.10        *)
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(*									     *)
(*	                         Limits                  		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
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Require Export Const.
Require Export CoUniversalArrow.
Require Export Ntransformation.
Set Implicit Arguments.
Unset Strict Implicit.
Section def_cone.
Variables (J C : Category) (c : C) (F : Functor J C).
SubClass Cone := NT (Const J c) F.
Definition Cones := NT_setoid (Const J c) F.
Section cone_nt.
Variable T : forall a : J, c --> F a.
Definition Cone_law :=
forall (i j : J) (g : i --> j), T j =_S T i o FMor F g.

(* Specifications: *)
Lemma Prf_Cone_nt_law : Cone_law -> NT_law (F:=Const J c) T.
Coercion Prf_Cone_nt_law : Cone_law >-> NT_law.