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Unformatted text preview: ZZ has the least upper bound M . Now M1 is not an upper bound, and so there exists some integer m which is bigger than M1, i.e., m > M1. But then m + 1 is also an integer and m + 1 > M , which contradicts the fact that M is an upper bound for ZZ . 1...
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This note was uploaded on 11/15/2010 for the course MATH math 131 taught by Professor Kim during the Spring '10 term at UCLA.
 Spring '10
 Kim
 Math, Integers

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