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BabyRudin: Solution: Ex05 in Ch01
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gapry committed Jan 29, 2024
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Expand Up @@ -8,4 +8,4 @@ \subsection*{Exercise 05 (Gapry)}
the negation of inequality $x \ge \alpha$, which is $-x \le -\alpha$, shows $-\alpha$ the least upper bound, that is , $-\alpha = \sup(-A)$. \\

According to 1.14 Proposition (d), $\alpha = -(-\alpha)$, we can conclude that $\inf A = -\sup(-A)$.
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