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The original article containing proof of the Radon-Nikodým theorem has about 50 pages. John Von von Neumann proved it by little trick and Riesz representation theorem (that one about Hilbert space functionals) in three lines.

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The original article containing proof of the Radon-Nikodým theorem has about 50 pages. John Von proved it by little trick and Riesz representation theorem (that one about Hilbert space functionals) in three lines.