mathlib3
4801fa66 - feat(measure_theory): the Vitali-Caratheodory theorem (#7766)

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4 years ago
feat(measure_theory): the Vitali-Caratheodory theorem (#7766) This PR proves the Vitali-Carathéodory theorem, asserting that a measurable function can be closely approximated from above by a lower semicontinuous function, and from below by an upper semicontinuous function. This is the main ingredient in the proof of the general version of the fundamental theorem of calculus (when `f'` is just integrable, but not continuous).
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