Last Updated
：2025/12/04
axiom of union
Noun
Japanese Meaning
集合論における公理の一つで、任意の集合において、その集合に含まれる各集合の全ての要素をまとめた集合（和集合）が存在することを定める公理
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(set theory) One of the axioms in axiomatic set theory, equivalent to the statement that a union exists for any set, containing exactly all the elements contained within the sets within that set.
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axiom of union
When constructing larger sets from families of sets, the axiom of union guarantees that their union exists and contains precisely the elements of the member sets.
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When constructing larger sets from families of sets, the axiom of union guarantees that their union exists and contains precisely the elements of the member sets.
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