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Question: prove that if a and b are two countable sets...

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Prove that if A and B are two countable sets, then so also Ax B. Hint: Assume that A-( d B-{b1, b2,by, ). Such a listing of elements is possible since they both are countable sets. Now construct a bijection f N- A x B and show that it is indeed a bijection a1,a2 , аз . . .} an

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