Definition:Coreflexive Relation/Definition 1

Definition

Let $\RR \subseteq S \times S$ be a relation in $S$.

$\RR$ is coreflexive if and only if:

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

Also see

• Equivalence of Definitions of Coreflexive Relation

• Results about coreflexive relations can be found here.

Linguistic Note

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