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 ClosureExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Reflexive Closure." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ReflexiveClosure.html