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| author |  Enrico Tassi <gareuselesinge@debian.org> | 2015-11-13 11:31:34 +0100 |
|---|---|---|
| committer | Enrico Tassi <gareuselesinge@debian.org> | 2015-11-13 11:31:34 +0100 |
| commit | 2280477a96e19ba5060de2d48dcc8fd7c8079d22 (patch) | |
| tree | 074182834cb406d1304aec4233718564a9c06ba1 /theories/Classes/RelationClasses.v | |
| parent | 0aa2544d04dbd4b6ee665b551ed165e4fb02d2fa (diff) | |
Imported Upstream version 8.5~beta3+dfsg
Diffstat (limited to 'theories/Classes/RelationClasses.v')
| -rw-r--r-- | theories/Classes/RelationClasses.v | 5 |
1 files changed, 5 insertions, 0 deletions
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) := |