1. Prove Lemma 1.3.8 in Abbott: Let A CR be bounded above and let A" be the set of upper bounds for A. Show that, for an
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1. Prove Lemma 1.3.8 in Abbott: Let A CR be bounded above and let A" be the set of upper bounds for A. Show that, for an
1. Prove Lemma 1.3.8 in Abbott: Let A CR be bounded above and let A" be the set of upper bounds for A. Show that, for any s E A", we have 8=sup A if and only if (Ve> 0, 3a e A, s-e<a)
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