1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 (* This file was automatically generated: do not edit *********************)
19 include "Init/Prelude.ma".
21 (*#***********************************************************************)
23 (* v * The Coq Proof Assistant / The Coq Development Team *)
25 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
27 (* \VV/ **************************************************************)
29 (* // * This file is distributed under the terms of the *)
31 (* * GNU Lesser General Public License Version 2.1 *)
33 (*#***********************************************************************)
35 (*#***************************************************************************)
39 (* Naive Set Theory in Coq *)
45 (* Rocquencourt Sophia-Antipolis *)
63 (* Acknowledgments: This work was started in July 1993 by F. Prost. Thanks *)
65 (* to the Newton Institute for providing an exceptional work environment *)
67 (* in Summer 1995. Several developments by E. Ledinot were an inspiration. *)
69 (*#***************************************************************************)
71 (*i $Id: Relations_1.v,v 1.4.2.1 2004/07/16 19:31:18 herbelin Exp $ i*)
78 cic:/Coq/Sets/Relations_1/Relations_1/U.var
81 inline procedural "cic:/Coq/Sets/Relations_1/Relation.con" as definition.
84 cic:/Coq/Sets/Relations_1/Relations_1/R.var
87 inline procedural "cic:/Coq/Sets/Relations_1/Reflexive.con" as definition.
89 inline procedural "cic:/Coq/Sets/Relations_1/Transitive.con" as definition.
91 inline procedural "cic:/Coq/Sets/Relations_1/Symmetric.con" as definition.
93 inline procedural "cic:/Coq/Sets/Relations_1/Antisymmetric.con" as definition.
95 inline procedural "cic:/Coq/Sets/Relations_1/contains.con" as definition.
97 inline procedural "cic:/Coq/Sets/Relations_1/same_relation.con" as definition.
99 inline procedural "cic:/Coq/Sets/Relations_1/Preorder.ind".
101 inline procedural "cic:/Coq/Sets/Relations_1/Order.ind".
103 inline procedural "cic:/Coq/Sets/Relations_1/Equivalence.ind".
105 inline procedural "cic:/Coq/Sets/Relations_1/PER.ind".
112 Hint Unfold Reflexive Transitive Antisymmetric Symmetric contains
113 same_relation: sets v62.
117 Hint Resolve Definition_of_preorder Definition_of_order
118 Definition_of_equivalence Definition_of_PER: sets v62.