Axiom:Axiom of Powers

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For every set, there exists a set of sets that contains amongst its elements all the subsets of the given set.

$\forall x: \exists y: \paren {\forall z: \paren {z \in y \iff \paren {w \in z \implies w \in x} } }$

Also known as

Otherwise known as the Axiom of the Power Set.

Also see