Definition:Antireflexive Relation

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


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

Also known as
Some sources use the term irreflexive.

Also see

 * Reflexivity of Relations


 * Reflexive Relation
 * Coreflexive Relation
 * Non-reflexive Relation