Last Updated
：2025/11/26
axiom of extensionality
Noun
Japanese Meaning
外延性の公理: 二つの集合が同一であるのは、それらが含む全ての要素が一致する場合に限るとする公理（集合論における基本的な原理の一つ）。
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(set theory) One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements.
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axiom of extensionality
When proving two sets are identical, I often invoke the axiom of extensionality to show they contain the same elements.
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When proving two sets are identical, I often invoke the axiom of extensionality to show they contain the same elements.
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