(**************************************************************************)
(*       ___                                                              *)
(*      ||M||                                                             *)
(*      ||A||       A project by Andrea Asperti                           *)
(*      ||T||                                                             *)
(*      ||I||       Developers:                                           *)
(*      ||T||         The HELM team.                                      *)
(*      ||A||         http://helm.cs.unibo.it                             *)
(*      \   /                                                             *)
(*       \ /        This file is distributed under the terms of the       *)
(*        v         GNU General Public License Version 2                  *)
(*                                                                        *)
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(* This file was automatically generated: do not edit *********************)

include "Coq.ma".

(*#***********************************************************************)

(*  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: ClassicalDescription.v,v 1.7.2.1 2004/07/16 19:31:06 herbelin Exp $ i*)

(*#* This file provides classical logic and definite description *)

(*#* Classical logic and definite description, as shown in [1],
    implies the double-negation of excluded-middle in Set, hence it
    implies a strongly classical world. Especially it conflicts with
    impredicativity of Set, knowing that true<>false in Set.

    [1] Laurent Chicli, Lo\239\c Pottier, Carlos Simpson, Mathematical
    Quotients and Quotient Types in Coq, Proceedings of TYPES 2002,
    Lecture Notes in Computer Science 2646, Springer Verlag.
*)

include "Logic/Classical.ma".

inline procedural "cic:/Coq/Logic/ClassicalDescription/dependent_description.con".

(*#* Principle of definite descriptions (aka axiom of unique choice) *)

inline procedural "cic:/Coq/Logic/ClassicalDescription/description.con" as theorem.

(*#* The followig proof comes from [1] *)

inline procedural "cic:/Coq/Logic/ClassicalDescription/classic_set.con" as theorem.