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(* 02110-1301 USA                                                     *)
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(*          Projet Formel - Calculus of Inductive Constructions V5.10        *)
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(*									     *)
(*	                       Terminal Object in SET          		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export SET.
Require Export Single.
Require Export CatProperty.
Set Implicit Arguments.
Unset Strict Implicit.
(* le(s) setoid(s) singleton  est terminal *)
(* preuve que Single est terminal *)
Section set_terminal.
Variable S : Setoid.
Definition To_Single_fun (x : S) := Elt.

(* Specifications: *)
Lemma To_Single_map_law : Map_law To_Single_fun.
Definition To_Single := Build_Map To_Single_map_law.