Outer regularity for Lebesgue measure#957
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zstone1 merged 4 commits intomath-comp:masterfrom Jun 26, 2023
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I made a first pass but I would like to look at it again.
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It looks indeed a bit longish, I have no immediate idea, but since related lemmas are in the pipeline, we will have the opportunity to look at it again in the near future.
This was referenced Jun 26, 2023
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* lebesgue outer regularity * adding changelog * nitpicking * nitpicking --------- Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
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* lebesgue outer regularity * adding changelog * nitpicking * nitpicking --------- Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
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* lebesgue outer regularity * adding changelog * nitpicking * nitpicking --------- Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
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* lebesgue outer regularity * adding changelog * nitpicking * nitpicking --------- Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
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Motivation for this change
A standard result for the lebesgue measure, made slightly complicated by the fact we use "half" open intervals. We have to extend each half open
]a,b]from the ocitv covering by]a,b] --> ]a, b + (eps/2) / (2^n)[. Then use the epsilon trick. Nothing too exotic, just requires a little dedication.Things done/to do
CHANGELOG_UNRELEASED.md[] added corresponding documentation in the headersCompatibility with MathComp 2.0
TODO: HB portto make sure someone ports this PR tothe
hierarchy-builderbranch or I already opened an issue or PR (please cross reference).Automatic note to reviewers
Read this Checklist and put a milestone if possible.