Question: Note: Problems 1 - 3 are stated for subsets S of a general ordered field (F, Problem 3. (second statement in Theorem 2.19 in Larson)

Note: Problems 1 - 3 are stated for subsets S of a general ordered field (F,

Problem 3. (second statement in Theorem 2.19 in Larson) Prove that a is the greatest lower bound of S, i.e. a = inf S, if and only if (00, (1)0 S = (2) and for every E > 0, [ma + 6) D S 79 (Z)

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