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In mathematics, especially in set theory, a set A is a subset of a set B if A is "contained" inside B. Notice that A and B may coincide. The relationship of one set being a subset of another is called inclusion.

If A and B are sets and every element of A is also an element of B, then

If A is a subset of B, but A is not equal to B (i.e. there exists at least one element of B not contained in A), then

For any set S, the inclusion relation ? is a partial order on the set 2S of all subsets of S (the power set of S).

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