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transcript: we improved the parser/lexer to read the scripts of the standard
[helm.git] / helm / software / matita / contribs / procedural / Coq / Logic / Hurkens.mma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "Coq.ma".
+
+(*#***************************************************************************)
+
+(*                 The Calculus of Inductive Constructions                  *)
+
+(*                                                                          *)
+
+(*                            Projet LogiCal                                *)
+
+(*                                                                          *)
+
+(*                     INRIA                        LRI-CNRS                *)
+
+(*              Rocquencourt                        Orsay                   *)
+
+(*                                                                          *)
+
+(*                              May 29th 2002                               *)
+
+(*                                                                          *)
+
+(*#***************************************************************************)
+
+(*                                Hurkens.v                                 *)
+
+(*#***************************************************************************)
+
+(*#* This is Hurkens paradox [Hurkens] in system U-, adapted by Herman
+    Geuvers [Geuvers] to show the inconsistency in the pure calculus of
+    constructions of a retract from Prop into a small type.
+
+    References:
+
+    - [Hurkens] A. J. Hurkens, "A simplification of Girard's paradox",
+      Proceedings of the 2nd international conference Typed Lambda-Calculi
+      and Applications (TLCA'95), 1995.
+
+    - [Geuvers] "Inconsistency of Classical Logic in Type Theory", 2001
+      (see www.cs.kun.nl/~herman/note.ps.gz).
+*)
+
+(* UNEXPORTED
+Section Paradox
+*)
+
+(* UNEXPORTED
+cic:/Coq/Logic/Hurkens/Paradox/bool.var
+*)
+
+(* UNEXPORTED
+cic:/Coq/Logic/Hurkens/Paradox/p2b.var
+*)
+
+(* UNEXPORTED
+cic:/Coq/Logic/Hurkens/Paradox/b2p.var
+*)
+
+(* UNEXPORTED
+cic:/Coq/Logic/Hurkens/Paradox/p2p1.var
+*)
+
+(* UNEXPORTED
+cic:/Coq/Logic/Hurkens/Paradox/p2p2.var
+*)
+
+(* UNEXPORTED
+cic:/Coq/Logic/Hurkens/Paradox/B.var
+*)
+
+inline procedural "cic:/Coq/Logic/Hurkens/V.con" as definition.
+
+inline procedural "cic:/Coq/Logic/Hurkens/U.con" as definition.
+
+inline procedural "cic:/Coq/Logic/Hurkens/sb.con" as definition.
+
+inline procedural "cic:/Coq/Logic/Hurkens/le.con" as definition.
+
+inline procedural "cic:/Coq/Logic/Hurkens/induct.con" as definition.
+
+inline procedural "cic:/Coq/Logic/Hurkens/WF.con" as definition.
+
+inline procedural "cic:/Coq/Logic/Hurkens/I.con" as definition.
+
+inline procedural "cic:/Coq/Logic/Hurkens/Omega.con" as lemma.
+
+inline procedural "cic:/Coq/Logic/Hurkens/lemma1.con" as lemma.
+
+inline procedural "cic:/Coq/Logic/Hurkens/lemma2.con" as lemma.
+
+inline procedural "cic:/Coq/Logic/Hurkens/paradox.con" as theorem.
+
+(* UNEXPORTED
+End Paradox
+*)
+