Question: Let A and B be infinite sets with the same cardinality. Prove that P(A) and P(B) also have the same cardinality. Do this by giving

Let A and B be infinite sets with the same cardinality. Prove that P(A) and P(B) also have the same cardinality. Do this by giving explicitly a bijective function from P(A) to P(B). You must also prove that your function is indeed a bijection.

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