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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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10 (* \ / This file is distributed under the terms of the *)
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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 *)
31 (*#***********************************************************************)
33 (*#***************************************************************************)
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: Relations_3_facts.v,v 1.6.2.1 2004/07/16 19:31:18 herbelin Exp $ i*)
71 include "Sets/Relations_1.ma".
73 include "Sets/Relations_1_facts.ma".
75 include "Sets/Relations_2.ma".
77 include "Sets/Relations_2_facts.ma".
79 include "Sets/Relations_3.ma".
81 inline procedural "cic:/Coq/Sets/Relations_3_facts/Rstar_imp_coherent.con" as theorem.
84 Hint Resolve Rstar_imp_coherent.
87 inline procedural "cic:/Coq/Sets/Relations_3_facts/coherent_symmetric.con" as theorem.
89 inline procedural "cic:/Coq/Sets/Relations_3_facts/Strong_confluence.con" as theorem.
91 inline procedural "cic:/Coq/Sets/Relations_3_facts/Strong_confluence_direct.con" as theorem.
93 inline procedural "cic:/Coq/Sets/Relations_3_facts/Noetherian_contains_Noetherian.con" as theorem.
95 inline procedural "cic:/Coq/Sets/Relations_3_facts/Newman.con" as theorem.