# Category:Reflexive Relations

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This category contains results about Reflexive Relations.

$\RR$ is **reflexive** if and only if:

- $\forall x \in S: \tuple {x, x} \in \RR$

## Also see

## Subcategories

This category has the following 8 subcategories, out of 8 total.

## Pages in category "Reflexive Relations"

The following 41 pages are in this category, out of 41 total.

### A

### I

### R

- Reflexive and Symmetric Relation is not necessarily Transitive
- Reflexive and Transitive Relation is Idempotent
- Reflexive and Transitive Relation is not necessarily Symmetric
- Reflexive Circular Relation is Equivalence
- Reflexive Euclidean Relation is Equivalence
- Reflexive Relation is Serial
- Reflexive Relation on Set of Cardinality 2 is Transitive
- Reflexive Relation on Singleton is Well-Ordering
- Relation is Antireflexive iff Disjoint from Diagonal Relation
- Relation is Antisymmetric and Reflexive iff Intersection with Inverse equals Diagonal Relation
- Relation is Connected and Reflexive iff Total
- Relation is Reflexive and Coreflexive iff Diagonal
- Relation is Symmetric and Antisymmetric iff Coreflexive
- Relation Isomorphism Preserves Reflexivity
- Relation Reflexivity
- Relations with Combinations of Reflexivity, Symmetry and Transitivity Properties
- Restriction of Antireflexive Relation is Antireflexive
- Restriction of Non-Reflexive Relation is Not Necessarily Non-Reflexive
- Restriction of Reflexive Relation is Reflexive