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  3. let (z, n, +, ·) be an ordered integral domain. l

Let (Z, N, +, ·) be an ordered integral domain. Let {x1, x2, . . ....

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Advance Math

Let (Z, N, +, ·) be an ordered integral domain. Let {x1, x2, . .. , xn} be a subset of Z. Prove there exists an i, 1 ? i ? n suchthat xi ? xj for all 1 ? j ? n. Prove that Z is an infinite set.(Remark: How do you tell if a set is infinite??)

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