In mathematics, the axiom of power set is one of the Zermelo–Fraenkel axioms of axiomatic set theory. It guarantees for every set x {\displaystyle x} the existence of a set P ( x ) {\displaystyle {\mathcal {P}}(x)} , the power set of x {\displaystyle x} , consisting precisely of the subsets of x {\displaystyle x} .
In mathematics, the axiom of power set is one of the Zermelo–Fraenkel axioms of axiomatic set theory. It guarantees for every set x {\displaystyle x} the existence of a set P ( x ) {\displaystyle {\mathcal {P}}(x)} , the power set of x {\displaystyle x} , consisting precisely of the subsets of x {\displaystyle x} .
Source: Wikipedia "Axiom of power set" · CC BY-SA 4.0
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