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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i $Id: RelationalChoice.v,v 1.3.2.2 2004/08/01 09:29:59 herbelin Exp $ i*)
(** This file axiomatizes the relational form of the axiom of choice *)
Axiom
relational_choice :
forall (A B:Type) (R:A -> B -> Prop),
(forall x:A, exists y : B, R x y) ->
exists R' : A -> B -> Prop,
(forall x:A,
exists y : B,
R x y /\ R' x y /\ (forall y':B, R' x y' -> y = y')).
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