Last Updated
：2025/12/04
totally ordered
Adjective
not-comparable
Japanese Meaning
全順序が備わっている、すなわち、部分順序集合の特定の部分集合において、任意の二つの要素が比較可能（順序付け可能）である完全な順序関係が成立している状態。
Quizzes for review
(set theory, order theory) That is equipped with a total order, that is a subset of (the ground set of) a partially ordered set whose partial order is a total order with respect to said subset.
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totally ordered
In order theory, a chain is a totally ordered subset of a partially ordered set in which every pair of elements is comparable.
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In order theory, a chain is a totally ordered subset of a partially ordered set in which every pair of elements is comparable.
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