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23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
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33 (*i $Id: Relation_Definitions.v,v 1.6.2.1 2004/07/16 19:31:16 herbelin Exp $ i*)
36 Section Relation_Definition
40 cic:/Coq/Relations/Relation_Definitions/Relation_Definition/A.var
43 inline procedural "cic:/Coq/Relations/Relation_Definitions/relation.con" as definition.
46 cic:/Coq/Relations/Relation_Definitions/Relation_Definition/R.var
50 Section General_Properties_of_Relations
53 inline procedural "cic:/Coq/Relations/Relation_Definitions/reflexive.con" as definition.
55 inline procedural "cic:/Coq/Relations/Relation_Definitions/transitive.con" as definition.
57 inline procedural "cic:/Coq/Relations/Relation_Definitions/symmetric.con" as definition.
59 inline procedural "cic:/Coq/Relations/Relation_Definitions/antisymmetric.con" as definition.
61 (* for compatibility with Equivalence in ../PROGRAMS/ALG/ *)
63 inline procedural "cic:/Coq/Relations/Relation_Definitions/equiv.con" as definition.
66 End General_Properties_of_Relations
70 Section Sets_of_Relations
73 inline procedural "cic:/Coq/Relations/Relation_Definitions/preorder.ind".
75 inline procedural "cic:/Coq/Relations/Relation_Definitions/order.ind".
77 inline procedural "cic:/Coq/Relations/Relation_Definitions/equivalence.ind".
79 inline procedural "cic:/Coq/Relations/Relation_Definitions/PER.ind".
86 Section Relations_of_Relations
89 inline procedural "cic:/Coq/Relations/Relation_Definitions/inclusion.con" as definition.
91 inline procedural "cic:/Coq/Relations/Relation_Definitions/same_relation.con" as definition.
93 inline procedural "cic:/Coq/Relations/Relation_Definitions/commut.con" as definition.
96 End Relations_of_Relations
100 End Relation_Definition
104 Hint Unfold reflexive transitive antisymmetric symmetric: sets v62.
108 Hint Resolve Build_preorder Build_order Build_equivalence Build_PER
109 preord_refl preord_trans ord_refl ord_trans ord_antisym equiv_refl
110 equiv_trans equiv_sym per_sym per_trans: sets v62.
114 Hint Unfold inclusion same_relation commut: sets v62.