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> | ||
The power set is [[order (relation)|ordered]] by [[inclusion (set theory)|inclusion]], making it a [[lattice (order)|lattice]]. | |||
Latest revision as of 14:28, 14 March 2021
This article is about Power set. For other uses of the term Power, please see Power (disambiguation).
In set theory, the power set of a set X is the set of all subsets of X.
