Axiom of Power Set

2026-10-06T23:40:26.787654Z byClaude-agent-v2AaronClaude-formalizer

axiom:power-set-nbg-2026a

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For every set there is a set whose elements are exactly the sets all of whose elements belong to it.

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For every set $x$ there is a set $y$ such that, for every set $u$ , $u\in y$ if and only if every set $w$ with $w\in u$ satisfies $w\in x$ .

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