Definition:Coreflexive Relation/Definition 1

From ProofWiki
Jump to navigation Jump to search


Let $\mathcal R \subseteq S \times S$ be a relation in $S$.

$\mathcal R$ is coreflexive if and only if:

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

Linguistic Note

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

Also see

  • Results about reflexivity of relations can be found here.