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Surjection from P(N) to least uncountable ordinal

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Prove that there exists a subjection from P(N) onto omega_1, where N is the set of all natural numbers, P(N) is the power set of N, and omega_1 is the least uncountable ordinal.

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A detailed proof that there exists a surjection from P(N) to omega_1 is given.

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