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To check whether a subset is a lower set, verify that whenever it contains an element it also contains every element less than that element.
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To check whether a subset is a lower set, verify that whenever it contains an element it also contains every element less than that element.
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Related words
lower set
Noun
Japanese Meaning
数学(順序理論)において、順序集合(poset)の部分集合であり、その部分集合内の任意の要素から始まる降下鎖(あるいは下方向の連鎖)すべてを含む集合。日本語では「下集合」と呼ばれる。
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