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19 (*#***********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
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27 (* // * This file is distributed under the terms of the *)
29 (* * GNU Lesser General Public License Version 2.1 *)
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37 (* Naive Set Theory in Coq *)
43 (* Rocquencourt Sophia-Antipolis *)
61 (* Acknowledgments: This work was started in July 1993 by F. Prost. Thanks *)
63 (* to the Newton Institute for providing an exceptional work environment *)
65 (* in Summer 1995. Several developments by E. Ledinot were an inspiration. *)
67 (*#***************************************************************************)
69 (*i $Id: Classical_sets.v,v 1.4.2.1 2004/07/16 19:31:17 herbelin Exp $ i*)
71 include "Sets/Ensembles.ma".
73 include "Sets/Constructive_sets.ma".
75 include "Logic/Classical_Type.ma".
77 (* Hints Unfold not . *)
80 Section Ensembles_classical
84 cic:/Coq/Sets/Classical_sets/Ensembles_classical/U.var
87 inline procedural "cic:/Coq/Sets/Classical_sets/not_included_empty_Inhabited.con" as lemma.
90 Hint Resolve not_included_empty_Inhabited.
93 inline procedural "cic:/Coq/Sets/Classical_sets/not_empty_Inhabited.con" as lemma.
95 inline procedural "cic:/Coq/Sets/Classical_sets/Inhabited_Setminus.con" as lemma.
98 Hint Resolve Inhabited_Setminus.
101 inline procedural "cic:/Coq/Sets/Classical_sets/Strict_super_set_contains_new_element.con" as lemma.
104 Hint Resolve Strict_super_set_contains_new_element.
107 inline procedural "cic:/Coq/Sets/Classical_sets/Subtract_intro.con" as lemma.
110 Hint Resolve Subtract_intro.
113 inline procedural "cic:/Coq/Sets/Classical_sets/Subtract_inv.con" as lemma.
115 inline procedural "cic:/Coq/Sets/Classical_sets/Included_Strict_Included.con" as lemma.
117 inline procedural "cic:/Coq/Sets/Classical_sets/Strict_Included_inv.con" as lemma.
119 inline procedural "cic:/Coq/Sets/Classical_sets/not_SIncl_empty.con" as lemma.
121 inline procedural "cic:/Coq/Sets/Classical_sets/Complement_Complement.con" as lemma.
124 End Ensembles_classical
128 Hint Resolve Strict_super_set_contains_new_element Subtract_intro
129 not_SIncl_empty: sets v62.