Prove that every function (u: mathbb{N} ightarrow mathbb{R}) on ((mathbb{N}, mathscr{P}(mathbb{N}))) is measurable.

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Prove that every function \(u: \mathbb{N} ightarrow \mathbb{R}\) on \((\mathbb{N}, \mathscr{P}(\mathbb{N}))\) is measurable.

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