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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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(*									     *)
(*	                   Exponents in SET              		     *)
(*									     *)
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(*									     *)
(*                     A. SAIBI	  May 95                  		     *)
(*									     *)
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Require Export SET_BinProds.
Require Export Exponents.
Set Implicit Arguments.
Unset Strict Implicit.
(* expo dans SET *)
Section verif_expo.
Variable A B : Setoid.
(* B(expo A) = A==>B *)
Definition S_expo := Map A B.
(* de'finition de eval *)
Definition S_eval_fun (fxa : SPROD (A ==> B) A) := Sprod_l fxa (Sprod_r fxa).

(* Specifications: *)
Lemma S_eval_map_law : Map_law S_eval_fun.
Definition S_eval := Build_Map S_eval_map_law.