[mathematics] In mathematics, let A be a set and let ≤ be a binary relation on A. Then a subset B of A is said to be cofinal if it satisfies the following condition: This definition is most commonly applied when A is a partially ordered set or directed set under the relation ≤. Cofinal subsets are very important in the theory of directe...
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http://en.wikipedia.org/wiki/Cofinal_(mathematics)

of or pertaining to a subset of a set with a partial order relation, as “greater than” or “equal to,” in which corresponding to each element in the set is an element in the subset that is in relation to the given element.
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https://www.infoplease.com/dictionary/cofinal
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