Anti-Reflexive Relation

Anti-Reflexive Relation

Relation in a set E so that no element of E is related to itself.

In the representation of an anti-reflexive relation, there are no loops.



  • The relation “…is less than…” in the set of whole numbers is an anti-reflexive relation.
    If 6 < 7, then 7 cannot be less than 6.
  • The relation “…is the son of…” in a set of people is an anti-reflexive relation.
    If Paul is Luke’s son, then Luke cannot be Paul’s son.

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