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A symbol representing the power set of a given set in set theory and discrete mathematics.

\wp image

Examples

Power set notation

(A)={X:XA}\wp(A) = \{X : X \subseteq A\}
\wp(A) = \{X : X \subseteq A\}

Power set cardinality relationship

(A)=2A|\wp(A)| = 2^{|A|}
|\wp(A)| = 2^{|A|}

Nested power set example

B((A)) means B(A)B \in \wp(\wp(A)) \text{ means } B \subseteq \wp(A)
B \in \wp(\wp(A)) \text{ means } B \subseteq \wp(A)
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