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Let A be a subset of the integers. (a) Write a careful definition (using quantifiers) for...

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Advance Math

Let A be a subset of the integers. (a) Write a carefuldefinition (using quantifiers) for the term smallest element of A.(b) Let E be the set of even integers; that is E = {x ? Z : 2|x}.Prove by contradiction that E has no smallest element. (c) Provethat if A ? Z has a smallest element, then it must be unique.

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