* "is a subset of" (set inclusion)
* "divides" (divisibility)
* "is greater than or equal to"
* "is less than or equal to"Examples of irreflexive relations include:
* "is not equal to"
* "is coprime to" on the integers larger than 1
* "is a proper subset of"
* "is greater than"
* "is less than"

An example of an irreflexive relation, which means that it does not