From 2280477a96e19ba5060de2d48dcc8fd7c8079d22 Mon Sep 17 00:00:00 2001 From: Enrico Tassi Date: Fri, 13 Nov 2015 11:31:34 +0100 Subject: Imported Upstream version 8.5~beta3+dfsg --- theories/Classes/RelationClasses.v | 5 +++++ 1 file changed, 5 insertions(+) (limited to 'theories/Classes/RelationClasses.v') diff --git a/theories/Classes/RelationClasses.v b/theories/Classes/RelationClasses.v index 1a40e5d5..15cb02d3 100644 --- a/theories/Classes/RelationClasses.v +++ b/theories/Classes/RelationClasses.v @@ -89,6 +89,11 @@ Section Defs. Global Instance Equivalence_PER {R} `(E:Equivalence R) : PER R | 10 := { }. + (** An Equivalence is a PreOrder plus symmetry. *) + + Global Instance Equivalence_PreOrder {R} `(E:Equivalence R) : PreOrder R | 10 := + { }. + (** We can now define antisymmetry w.r.t. an equivalence relation on the carrier. *) Class Antisymmetric eqA `{equ : Equivalence eqA} (R : relation A) := -- cgit v1.2.3