Subset

| Main Article
| Discussion
| Related Articles  [?]
| Bibliography  [?]
| External Links  [?]
| Citable Version  [?]

|
|
|
|
|
|
|
|

This editable Main Article is under development and subject to a disclaimer.

[edit intro]

In set theory, a subset of a set X is a set A whose elements are all elements of X: that is, x∈A⇒x∈X, denoted A⊆X. The empty set Ø and X itself are always subsets of X. The containing set X is a superset of A. The relation between the subset and the superset is inclusion, and the inclusion map is the map from A → X which is the identity on A.

The power set of X is the set of all subsets of X.