The reflexive closure of a binary relation on a set is the minimal reflexive relation on that contains . Thus for every element of and for distinct elements and , provided that .

# Reflexive Closure

## See also

Reflexive, Reflexive Reduction, Relation, Transitive Closure## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Reflexive Closure."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/ReflexiveClosure.html