Last Updated
：2025/12/04
axiom of power set
Proper noun
Japanese Meaning
任意の集合について、その集合のすべての部分集合（べき集合）が存在し、有効な集合であることを保証する公理。これは集合論の標準公理系であるZFCにおいて採用されている。
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(set theory) The axiom that the power set of any set exists and is a valid set, which appears in the standard axiomatisation of set theory, ZFC.
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axiom of power set
In ZFC, the axiom of power set ensures that for every set there exists a set of all its subsets.
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In ZFC, the axiom of power set ensures that for every set there exists a set of all its subsets.
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