Last Updated:2025/11/20
Sentence

二つの命題は互いに含意し合う場合に限り同値である。

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Two propositions are equivalent if and only if they imply each other.

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Two propositions are equivalent if and only if they imply each other.

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Related words

if and only if

Conjunction
broadly informal
Japanese Meaning
論理学や数学において、ある命題が成立するのは、他の命題が成立する場合に限り、かつその逆も成り立つ、すなわち両者が互いに必要かつ十分である状況を指す。 / 拡張的な非公式の用法では、通常の『if』に比べて、条件を強調する意味合いがある。
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二つの命題は互いに含意し合う場合に限り同値である。

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