Power set: Difference between revisions

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In [[set theory]], the '''power set''' of a set ''X'' is the set of all [[subset]]s of ''X''.
In [[set theory]], the '''power set''' of a set ''X'' is the set of all [[subset]]s of ''X''.


:<math> \mathcal{P}X = \{ A : A \subseteq X \} . \, </math>
:<math> \mathcal{P}X = \{ A : A \subseteq X \} . \, </math>

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In set theory, the power set of a set X is the set of all subsets of X.