Definition:Coreflexive Relation

Definition
Let $\mathcal R \subseteq S \times S$ be a relation in $S$. $\mathcal R$ is coreflexive (pronounced co-reflexive, not core-flexive) iff:


 * $\forall x, y \in S: \left({x, y}\right) \in \mathcal R \implies x = y$

Also see

 * Definition:Reflexivity


 * Definition:Reflexive Relation
 * Definition:Antireflexive Relation
 * Definition:Non-reflexive Relation