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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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19 (*#**********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
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27 (* // * This file is distributed under the terms of the *)
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33 (*i $Id: Setoid.v,v 1.5 2003/11/29 17:28:41 herbelin Exp $: i*)
40 cic:/Coq/Setoids/Setoid/Setoid/A.var
44 cic:/Coq/Setoids/Setoid/Setoid/Aeq.var
47 inline procedural "cic:/Coq/Setoids/Setoid/Setoid_Theory.ind".
53 inline procedural "cic:/Coq/Setoids/Setoid/Prop_S.con" as definition.
56 Add Setoid Prop iff Prop_S.
60 Hint Resolve (Seq_refl Prop iff Prop_S): setoid.
64 Hint Resolve (Seq_sym Prop iff Prop_S): setoid.
68 Hint Resolve (Seq_trans Prop iff Prop_S): setoid.
71 inline procedural "cic:/Coq/Setoids/Setoid/or_ext1.con" as theorem.
73 inline procedural "cic:/Coq/Setoids/Setoid/or_ext2.con" as theorem.
75 inline procedural "cic:/Coq/Setoids/Setoid/and_ext1.con" as theorem.
77 inline procedural "cic:/Coq/Setoids/Setoid/and_ext2.con" as theorem.
79 inline procedural "cic:/Coq/Setoids/Setoid/not_ext1.con" as theorem.
81 inline procedural "cic:/Coq/Setoids/Setoid/not_ext2.con" as theorem.
83 inline procedural "cic:/Coq/Setoids/Setoid/fleche.con" as definition.
85 inline procedural "cic:/Coq/Setoids/Setoid/fleche_ext1.con" as theorem.
87 inline procedural "cic:/Coq/Setoids/Setoid/fleche_ext2.con" as theorem.