Reflexive closure

In mathematics, the reflexive closure of a binary relation

is the smallest reflexive relation on

A relation is called reflexive if it relates every element of

is a set of distinct numbers and

", then the reflexive closure of

The reflexive closure

In plain English, the reflexive closure of

with the identity relation on

is already reflexive by itself, so it does not differ from its reflexive closure.

However, if any of the reflexive pairs in

was absent, it would be inserted for the reflexive closure.

then the reflexive closure is

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