Prove that for all integers a, b, and c,(a) if c divides a and c divides b, then for all

Chapter 1, Problem 2

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Prove that for all integers a, b, and c,(a) if c divides a and c divides b, then for all integers x and y, c divides (b) if a divides and a divides then a divides(c) if a divides b, then for all natural numbers n, divides(d) if a is odd, c divides a and c divides then(e) if there exist integers m and n such that and thenc does not divide a or c does not divide b.

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