helm/software/matita/contribs/procedural/Coq/Logic/ClassicalDescription.mma

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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "Coq.ma".
  18
  19 (*#***********************************************************************)
  20
  21 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
  22
  23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
  24
  25 (*   \VV/  **************************************************************)
  26
  27 (*    //   *      This file is distributed under the terms of the       *)
  28
  29 (*         *       GNU Lesser General Public License Version 2.1        *)
  30
  31 (*#***********************************************************************)
  32
  33 (*i $Id: ClassicalDescription.v,v 1.7.2.1 2004/07/16 19:31:06 herbelin Exp $ i*)
  34
  35 (*#* This file provides classical logic and definite description *)
  36
  37 (*#* Classical logic and definite description, as shown in [1],
  38     implies the double-negation of excluded-middle in Set, hence it
  39     implies a strongly classical world. Especially it conflicts with
  40     impredicativity of Set, knowing that true<>false in Set.
  41
  42     [1] Laurent Chicli, Lo\239\c Pottier, Carlos Simpson, Mathematical
  43     Quotients and Quotient Types in Coq, Proceedings of TYPES 2002,
  44     Lecture Notes in Computer Science 2646, Springer Verlag.
  45 *)
  46
  47 include "Logic/Classical.ma".
  48
  49 inline procedural "cic:/Coq/Logic/ClassicalDescription/dependent_description.con".
  50
  51 (*#* Principle of definite descriptions (aka axiom of unique choice) *)
  52
  53 inline procedural "cic:/Coq/Logic/ClassicalDescription/description.con" as theorem.
  54
  55 (*#* The followig proof comes from [1] *)
  56
  57 inline procedural "cic:/Coq/Logic/ClassicalDescription/classic_set.con" as theorem.
  58