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Lower definition, to cause to descend; let or put down: to lower a flag. See more.
Tight bounds. An upper bound is said to be a tight upper bound, a least upper bound, or a supremum if no smaller value is an upper bound. Similarly a lower bound is said to be a tight lower bound, a greatest lower bound, or an infimum if no greater value is a lower bound. Mac Lane, Saunders; Birkhoff, Garrett (1991). Algebra.