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Let A be an infinite set and let B ? A be a subset. Prove: (a)...

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Advance Math

Let A be an infinite set and let B ? A be a subset. Prove:

(a) Assume A has a denumerable subset, show that A is equivalentto a proper subset of A.

(b) Show that if A is denumerable and B is infinite then B isequivalent to A.

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