Definition of "supremum" [supremum]

• (of a subset) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset. (noun)

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• "We call the supremum the join and the infimum the meet of the elements a"
• "A '' supremum '' for '' S '' is an upper bound which is less than or equal to any other upper bound for '' S ''; an '' infimum '' is a lower bound for '' S '' which is greater than or equal to any other lower bound for '' S ''."
• "The least upper bound is also sometimes called the "supremum", abbreviated "sup"."