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Unformatted text preview: A < b. If A and B are sets with the property that b a < for every A a and B b , then it follows that . sup sup B A < 2. Prove that the greatest lower bound of the set (0,1) is 0. (Hint: Assume that 0 is not the greatest lower bound. That would mean that there is a lower bound, say x , that is greater.)...
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 Spring '12
 Michael

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