least upper bound A set A of reals can have at most one least upper bound. if a is LUB, then a≤b if b is LUB, then b≤a if a, b are both two LUBs, then b=a, such as {42} has the only element 42 as both an upper bound and a lower bound. lower bound if a set A of reals has a lower bound, it has infinitely many lower bounds. ...

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