Definition:Coreflexive Relation/Definition 1

Definition
Let $\RR \subseteq S \times S$ be a relation in $S$. $\RR$ is coreflexive :


 * $\forall x, y \in S: \tuple {x, y} \in \RR \implies x = y$

Also see

 * Equivalence of Definitions of Coreflexive Relation