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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) := |