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(* as published by the Free Software Foundation; either version 2.1   *)
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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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(*									     *)
(*	                       SET is CCC                		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export SetoidPROD.
Require Export Binary_Products.
Require Export SET.
Set Implicit Arguments.
Unset Strict Implicit.
Section verif_prod.
Variable A B : Setoid.
(* construction de together *)
Section set_op_together_def.
Variable C : Setoid.
Section set_together_def.
Variables (f : Map C A) (g : Map C B).
Definition S_together_fun (c : C) := Build_Sprod (f c) (g c).

(* Specifications: *)
Lemma S_together_map_law : Map_law S_together_fun.
Definition S_together := Build_Map S_together_map_law.