Definition:Coreflexive Relation/Definition 1

Definition
Let $\mathcal R \subseteq S \times S$ be a relation in $S$. $\mathcal R$ is coreflexive iff:


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

Linguistic Note
Coreflexive is pronounced co-reflexive, not core-flexive.

Also see

 * Equivalence of Definitions of Coreflexive Relation