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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 / Sets / Powerset.mma
diff --git a/helm/software/matita/contribs/procedural/Coq/Sets/Powerset.mma b/helm/software/matita/contribs/procedural/Coq/Sets/Powerset.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".
+
+(*#**********************************************************************)
+
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)
+
+(* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
+
+(*   \VV/  *************************************************************)
+
+(*    //   *      This file is distributed under the terms of the      *)
+
+(*         *       GNU Lesser General Public License Version 2.1       *)
+
+(*#**********************************************************************)
+
+(*#***************************************************************************)
+
+(*                                                                          *)
+
+(*                         Naive Set Theory in Coq                          *)
+
+(*                                                                          *)
+
+(*                     INRIA                        INRIA                   *)
+
+(*              Rocquencourt                        Sophia-Antipolis        *)
+
+(*                                                                          *)
+
+(*                                 Coq V6.1                                 *)
+
+(*                                                                         *)
+
+(*                              Gilles Kahn                                *)
+
+(*                              Gerard Huet                                *)
+
+(*                                                                         *)
+
+(*                                                                         *)
+
+(*                                                                          *)
+
+(* Acknowledgments: This work was started in July 1993 by F. Prost. Thanks  *)
+
+(* to the Newton Institute for providing an exceptional work environment    *)
+
+(* in Summer 1995. Several developments by E. Ledinot were an inspiration.  *)
+
+(*#***************************************************************************)
+
+(*i $Id: Powerset.v,v 1.5 2003/11/29 17:28:43 herbelin Exp $ i*)
+
+include "Sets/Ensembles.ma".
+
+include "Sets/Relations_1.ma".
+
+include "Sets/Relations_1_facts.ma".
+
+include "Sets/Partial_Order.ma".
+
+include "Sets/Cpo.ma".
+
+(* UNEXPORTED
+Section The_power_set_partial_order
+*)
+
+(* UNEXPORTED
+cic:/Coq/Sets/Powerset/The_power_set_partial_order/U.var
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Power_set.ind".
+
+(* UNEXPORTED
+Hint Resolve Definition_of_Power_set.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Empty_set_minimal.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Empty_set_minimal.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Power_set_Inhabited.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Power_set_Inhabited.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Inclusion_is_an_order.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Inclusion_is_an_order.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Inclusion_is_transitive.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Inclusion_is_transitive.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Power_set_PO.con" as definition.
+
+(* UNEXPORTED
+Hint Unfold Power_set_PO.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Strict_Rel_is_Strict_Included.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Strict_Rel_Transitive Strict_Rel_is_Strict_Included.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Strict_inclusion_is_transitive_with_inclusion.con" as lemma.
+
+inline procedural "cic:/Coq/Sets/Powerset/Strict_inclusion_is_transitive_with_inclusion_left.con" as lemma.
+
+inline procedural "cic:/Coq/Sets/Powerset/Strict_inclusion_is_transitive.con" as lemma.
+
+inline procedural "cic:/Coq/Sets/Powerset/Empty_set_is_Bottom.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Empty_set_is_Bottom.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Union_minimal.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Union_minimal.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Intersection_maximal.con" as theorem.
+
+inline procedural "cic:/Coq/Sets/Powerset/Union_increases_l.con" as theorem.
+
+inline procedural "cic:/Coq/Sets/Powerset/Union_increases_r.con" as theorem.
+
+inline procedural "cic:/Coq/Sets/Powerset/Intersection_decreases_l.con" as theorem.
+
+inline procedural "cic:/Coq/Sets/Powerset/Intersection_decreases_r.con" as theorem.
+
+(* UNEXPORTED
+Hint Resolve Union_increases_l Union_increases_r Intersection_decreases_l
+  Intersection_decreases_r.
+*)
+
+inline procedural "cic:/Coq/Sets/Powerset/Union_is_Lub.con" as theorem.
+
+inline procedural "cic:/Coq/Sets/Powerset/Intersection_is_Glb.con" as theorem.
+
+(* UNEXPORTED
+End The_power_set_partial_order
+*)
+
+(* UNEXPORTED
+Hint Resolve Empty_set_minimal: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Power_set_Inhabited: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Inclusion_is_an_order: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Inclusion_is_transitive: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Union_minimal: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Union_increases_l: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Union_increases_r: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Intersection_decreases_l: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Intersection_decreases_r: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Empty_set_is_Bottom: sets v62.
+*)
+
+(* UNEXPORTED
+Hint Resolve Strict_inclusion_is_transitive: sets v62.
+*)
+