## Foundations of Mathematics## Set Theory |

## When is a set a superset? |

A superset is one that contains all the elements of a smaller set. For example, if *B* is a subset of *A,* then *A* is a superset of *B;* in other words, *A* is a superset of set *B* if every element in *B* is in A. Like a proper subset, there are also proper supersets (or a superset that is not the entire set).