Upper Bound

A number x is an upper bound for the set S if all numbers in that set are below x which means that (A. y (-> (e. y S) (<= y x))) /edit/peano_new/arithmetic/reals/supremum-def.gh/df-upperbound. For example, 0 and 1 are both upper bounds for the set of negative numbers.

Theorems

Real and Complex Analysis

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