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 (*#***********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
25 (* \VV/ **************************************************************)
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: Cpo.v,v 1.5.2.1 2004/07/16 19:31:17 herbelin Exp $ i*)
71 include "Sets/Ensembles.ma".
73 include "Sets/Relations_1.ma".
75 include "Sets/Partial_Order.ma".
82 cic:/Coq/Sets/Cpo/Bounds/U.var
86 cic:/Coq/Sets/Cpo/Bounds/D.var
89 (* UNAVAILABLE OBJECT: cic:/Coq/Sets/Cpo/Bounds/C.con *********************)
91 inline procedural "cic:/Coq/Sets/Cpo/Bounds/C.con" "Bounds__" as definition.
93 (* UNAVAILABLE OBJECT: cic:/Coq/Sets/Cpo/Bounds/R.con *********************)
95 inline procedural "cic:/Coq/Sets/Cpo/Bounds/R.con" "Bounds__" as definition.
97 inline procedural "cic:/Coq/Sets/Cpo/Upper_Bound.ind".
99 inline procedural "cic:/Coq/Sets/Cpo/Lower_Bound.ind".
101 inline procedural "cic:/Coq/Sets/Cpo/Lub.ind".
103 inline procedural "cic:/Coq/Sets/Cpo/Glb.ind".
105 inline procedural "cic:/Coq/Sets/Cpo/Bottom.ind".
107 inline procedural "cic:/Coq/Sets/Cpo/Totally_ordered.ind".
109 inline procedural "cic:/Coq/Sets/Cpo/Compatible.con" as definition.
111 inline procedural "cic:/Coq/Sets/Cpo/Directed.ind".
113 inline procedural "cic:/Coq/Sets/Cpo/Complete.ind".
115 inline procedural "cic:/Coq/Sets/Cpo/Conditionally_complete.ind".
122 Hint Resolve Totally_ordered_definition Upper_Bound_definition
123 Lower_Bound_definition Lub_definition Glb_definition Bottom_definition
124 Definition_of_Complete Definition_of_Complete
125 Definition_of_Conditionally_complete.
129 Section Specific_orders
133 cic:/Coq/Sets/Cpo/Specific_orders/U.var
136 inline procedural "cic:/Coq/Sets/Cpo/Cpo.ind".
138 inline procedural "cic:/Coq/Sets/Cpo/Chain.ind".