1.) Prove that Z+, the set of positive integers, can be expressed as a countably infinite...

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Advance Math

1.) Prove that Z+, the set of positive integers, can beexpressed as a countably infinite union of disjoint countablyinfinite sets.

2.) Let A and B be two sets. Suppose that A and B are bothcountably infinite sets. Prove that there is a one-to-onecorrespondence between A and B.

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