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Posted: **Tue Jul 12, 2022 12:41 pm**

: 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 (9.72 KiB) Viewed 29 times

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)