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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 *)
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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: Partial_Order.v,v 1.6.2.1 2004/07/16 19:31:18 herbelin Exp $ i*)
71 include "Sets/Ensembles.ma".
73 include "Sets/Relations_1.ma".
76 Section Partial_orders
80 cic:/Coq/Sets/Partial_Order/Partial_orders/U.var
83 inline procedural "cic:/Coq/Sets/Partial_Order/Carrier.con" as definition.
85 inline procedural "cic:/Coq/Sets/Partial_Order/Rel.con" as definition.
87 inline procedural "cic:/Coq/Sets/Partial_Order/PO.ind".
90 cic:/Coq/Sets/Partial_Order/Partial_orders/p.var
93 inline procedural "cic:/Coq/Sets/Partial_Order/Strict_Rel_of.con" as definition.
95 inline procedural "cic:/Coq/Sets/Partial_Order/covers.ind".
102 Hint Unfold Carrier_of Rel_of Strict_Rel_of: sets v62.
106 Hint Resolve Definition_of_covers: sets v62.
110 Section Partial_order_facts
114 cic:/Coq/Sets/Partial_Order/Partial_order_facts/U.var
118 cic:/Coq/Sets/Partial_Order/Partial_order_facts/D.var
121 inline procedural "cic:/Coq/Sets/Partial_Order/Strict_Rel_Transitive_with_Rel.con" as lemma.
123 inline procedural "cic:/Coq/Sets/Partial_Order/Strict_Rel_Transitive_with_Rel_left.con" as lemma.
125 inline procedural "cic:/Coq/Sets/Partial_Order/Strict_Rel_Transitive.con" as lemma.
128 End Partial_order_facts