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subset

Set whose elements are all contained in another set

Instance of: binary relation
Subclass of: subclass
, set
Part of: set
, power set

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a set A is a subset of a set B if and only if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion. A is a subset of B may also be expressed as B includes A or A is included in B. A k-subset is a subset with k elements.

Overview

All data

30 statements · 7% with external sources · numbers in brackets are citations

Definition domain: set
Codomain: set
Opposite of: superset
Uses: inclusion
Unicode character: ⊂
TeX string: \subset
Different from: subclass of
Studied by: set theory

On other databases

18 identifiers linking subset across the web's reference databases

Data quality

statements

externally sourced

Source last edited October 9, 2026. AIDB refreshes this page daily.

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AIDB. (2026). subset (Q177646). Retrieved from https://aidb.si/e/subset-Q177646