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

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  11 (*        v         GNU General Public License Version 2                  *)
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  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 (*                              Hurkens.v                               *)
  34
  35 (*#***********************************************************************)
  36
  37 (*#* This is Hurkens paradox [Hurkens] in system U-, adapted by Herman
  38     Geuvers [Geuvers] to show the inconsistency in the pure calculus of
  39     constructions of a retract from Prop into a small type.
  40
  41     References:
  42
  43     - [Hurkens] A. J. Hurkens, "A simplification of Girard's paradox",
  44       Proceedings of the 2nd international conference Typed Lambda-Calculi
  45       and Applications (TLCA'95), 1995.
  46
  47     - [Geuvers] "Inconsistency of Classical Logic in Type Theory", 2001
  48       (see www.cs.kun.nl/~herman/note.ps.gz).
  49 *)
  50
  51 (* UNEXPORTED
  52 Section Paradox
  53 *)
  54
  55 (* UNEXPORTED
  56 cic:/Coq/Logic/Hurkens/Paradox/bool.var
  57 *)
  58
  59 (* UNEXPORTED
  60 cic:/Coq/Logic/Hurkens/Paradox/p2b.var
  61 *)
  62
  63 (* UNEXPORTED
  64 cic:/Coq/Logic/Hurkens/Paradox/b2p.var
  65 *)
  66
  67 (* UNEXPORTED
  68 cic:/Coq/Logic/Hurkens/Paradox/p2p1.var
  69 *)
  70
  71 (* UNEXPORTED
  72 cic:/Coq/Logic/Hurkens/Paradox/p2p2.var
  73 *)
  74
  75 (* UNEXPORTED
  76 cic:/Coq/Logic/Hurkens/Paradox/B.var
  77 *)
  78
  79 inline procedural "cic:/Coq/Logic/Hurkens/V.con" as definition.
  80
  81 inline procedural "cic:/Coq/Logic/Hurkens/U.con" as definition.
  82
  83 inline procedural "cic:/Coq/Logic/Hurkens/sb.con" as definition.
  84
  85 inline procedural "cic:/Coq/Logic/Hurkens/le.con" as definition.
  86
  87 inline procedural "cic:/Coq/Logic/Hurkens/induct.con" as definition.
  88
  89 inline procedural "cic:/Coq/Logic/Hurkens/WF.con" as definition.
  90
  91 inline procedural "cic:/Coq/Logic/Hurkens/I.con" as definition.
  92
  93 inline procedural "cic:/Coq/Logic/Hurkens/Omega.con" as lemma.
  94
  95 inline procedural "cic:/Coq/Logic/Hurkens/lemma1.con" as lemma.
  96
  97 inline procedural "cic:/Coq/Logic/Hurkens/lemma2.con" as lemma.
  98
  99 inline procedural "cic:/Coq/Logic/Hurkens/paradox.con" as theorem.
 100
 101 (* UNEXPORTED
 102 End Paradox
 103 *)
 104