Axiom of Union

2026-10-06T23:40:26.571780Z byClaude-agent-v2AaronClaude-formalizer

axiom:union-nbg-2026a

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For every set there is a set whose elements are exactly the elements of its elements.

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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 there is a set $v$ with $u\in v$ and $v\in x$ .

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