Three Chapters of Measure Theory in Isabelle/HOL

@inproceedings{Hlzl2011ThreeCO,
  title={Three Chapters of Measure Theory in Isabelle/HOL},
  author={Johannes H{\"o}lzl and Armin Heller},
  booktitle={ITP},
  year={2011}
}
Currently published HOL formalizations of measure theory concentrate on the Lebesgue integral and they are restricted to realvalued measures. We lift this restriction by introducing the extended real numbers. We define the Borel σ-algebra for an arbitrary type forming a topological space. Then, we introduce measure spaces with extended real numbers as measure values. After defining the Lebesgue integral and verifying its linearity and monotone convergence property, we prove the Radon-Nikodým… CONTINUE READING

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