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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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(*									     *)
(*	           Definition of Terminal by Adjunctions       		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export FunOne.
Require Export Adj_UA.
Set Implicit Arguments.
Unset Strict Implicit.
(* !C a un RAdj => C a un obj terminal *)
Section terminal1_def.
Variable C : Category.
SubClass Terminal1 := RightAdj (FunOne C).
Variable t : Terminal1.
Let ua' := CoUnit t Obone.
Definition Terminal1_ob := CoUA_ob ua'.
Definition MorT1 (a : C) := CoUA_diese ua' (a':=a) Id_Obone.

Lemma Prf_isTerminal1 : IsTerminal MorT1.
Canonical Structure Terminal1_to_Terminal := Build_Terminal Prf_isTerminal1.