Let A be a subset of the integers. a. Write a careful definition for the smallest

Chapter 20, Problem 20.16

(choose chapter or problem)

Let A be a subset of the integers. a. Write a careful definition for the smallest element of A. b. Let E be the set of even integers; that is, E D fx 2 Z W 2jxg. Prove by contradiction that E has no smallest element. c. Prove that if A Z has a smallest element, it is unique.

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