A concise proof of the Radon-Nikodym theorem is given using nonstandard analysis.
Luxemburg, On some concurrent binary relations occurring in analysis,Studies in Logic and the Foundations of Mathematics,69(1972), 85-100
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A Short Nonstandard Proof of the Radon-Nikodym Theorem
A concise proof of the Radon-Nikodym theorem is given using nonstandard analysis.