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+(************************************************************************)
+(*         *   The Coq Proof Assistant / The Coq Development Team       *)
+(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
+(* <O___,, *       (see CREDITS file for the list of authors)           *)
+(*   \VV/  **************************************************************)
+(*    //   *    This file is distributed under the terms of the         *)
+(*         *     GNU Lesser General Public License Version 2.1          *)
+(*         *     (see LICENSE file for the text of the license)         *)
+(************************************************************************)
+
+(** This module states a limited form axiom of functional
+    extensionality which selects a canonical representative in each
+    class of extensional functions *)
+
+(** Its main interest is that it is the needed ingredient to provide
+    axiom of choice on setoids (a.k.a. axiom of extensional choice)
+    when combined with classical logic and axiom of (intensonal)
+    choice *)
+
+(** It provides extensionality of functions while still supporting (a
+    priori) an intensional interpretation of equality *)
+
+Axiom extensional_function_representative :
+  forall A B, exists repr, forall (f : A -> B),
+  (forall x, f x = repr f x) /\
+  (forall g, (forall x, f x = g x) -> repr f = repr g).