mathlib3
d76c75e9 - feat(measure_theory): cleanup and generalize measure' (#3648)

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5 years ago
feat(measure_theory): cleanup and generalize measure' (#3648) There were two functions `measure'` and `outer_measure'` with undescriptive names, and which were not very general rename `measure'` -> `extend` rename `outer_measure'` -> `induced_outer_measure` generalize both `extend` and `induced_outer_measure` to an arbitrary subset of `set α` (instead of just the measurable sets). Most lemmas still hold in full generality, sometimes with a couple more assumptions. For the lemmas that need more assumptions, we have also kept the version that is just for `is_measurable`. Move functions `extend`, `induced_outer_measure` and `trim` to `outer_measure.lean`. rename `caratheodory_is_measurable` -> `of_function_caratheodory` rename `trim_ge` -> `le_trim` Make the section on caratheodory sets not private (and give a more descriptive name to lemmas). Style in `measurable_space` and `outer_measure`
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