Linked from

The 14 pages that link to Reflexive relation, each with the reason it gives.

• Equivalence relationBroader topic: Reflexivity requires every element to belong to its own equivalence class.

• Partial orderRelated: Reflexivity requires every element to be related to itself.

• Partially ordered setRelated: Reflexivity requires every element to be below itself.

• Binary relationBroader topic: Reflexivity requires every element to be related to itself.

• Transitive relationRelated: Transitivity does not require self-relations, so reflexivity is an independent property.

• Total orderRelated: Reflexivity is one of the properties required of a total order.

• PreorderBroader topic: Reflexivity is one of the two defining conditions of a preorder.

• Antisymmetric relationRelated: Reflexivity can hold alongside antisymmetry, as it does in partial orders.

• Symmetric relationRelated: Reflexivity concerns self-pairs, while symmetry concerns reversing pairs.

• Transitive closureCompared with: The reflexive transitive closure adds zero-length paths as well as positive-length paths.

• Equivalence classRelated: Reflexivity ensures each element belongs to its own equivalence class.

• Equality relationBroader topic: Equality satisfies reflexivity because every element equals itself.

• Law of identityNarrower topic: Identity is a special case of reflexivity, though reflexivity alone does not make a relation identity.

• Connected relationCompared with: Connectedness only constrains distinct pairs and says nothing about self-relatedness.