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Discuss the schroeder-bernstein theorem

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Reference no: EM131572590

Question: The Schroeder-Bernstein theorem states the following: If A and B are any sets with the property that there is a oneto-one function from A to B and a one-to-one function from B to A, then A and B have the same cardinality. Use this theorem to prove that there are as many functions from Z+ to {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} as there are functions from Z+ to {0, 1}.

Reference no: EM131572590

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