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More measure theory helpers#962

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zstone1 merged 17 commits intomath-comp:masterfrom
zstone1:inner_regularity
Jun 26, 2023
Merged

More measure theory helpers#962
zstone1 merged 17 commits intomath-comp:masterfrom
zstone1:inner_regularity

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@zstone1 zstone1 commented Jun 25, 2023

Motivation for this change

Depends on #957. This contains a bunch of lemmas I need to prove Egorov's theorem. But I'm separating a bunch of general purpose results here to break up the review. The interesting results are

  • measures of nonincreasing sequences converge, with a finiteness assumption. (This is required, consider An = [n,oo]. Each is infinite, but the intersection is zero).
  • Finite Lebesgue measure sets are almost bounded
  • Inner regularity for Lebesgue measure
Things done/to do
  • added corresponding entries in CHANGELOG_UNRELEASED.md
  • [] added corresponding documentation in the headers
Compatibility with MathComp 2.0
  • I added the label TODO: HB port to make sure someone ports this PR to
    the hierarchy-builder branch or I already opened an issue or PR (please cross reference).
Automatic note to reviewers

Read this Checklist and put a milestone if possible.

@zstone1 zstone1 added the TODO: MC2 port This PR must be ported to mathcomp 2 now that the. Remove this label when the port is done. label Jun 25, 2023
@zstone1 zstone1 requested a review from affeldt-aist June 26, 2023 01:43
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Except bigcup_itvT, only minor improvements.

@zstone1 zstone1 force-pushed the inner_regularity branch from ccecb28 to 344ad76 Compare June 26, 2023 14:20
@zstone1 zstone1 merged commit 61bec3b into math-comp:master Jun 26, 2023
This was referenced Jun 26, 2023
affeldt-aist added a commit to affeldt-aist/analysis that referenced this pull request Jun 28, 2023
* nitpicking

* inner regularity proof

* complete proof of egoroff

* ae egoroff done

* factorize bigcup_itvT

- a similar lemma was already proved and used
- move similar-looking lemmas to real_interval.v
- tauto was failing on my side so I temporarily patched inner regularity

---------

Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
proux01 pushed a commit to affeldt-aist/analysis that referenced this pull request Jul 8, 2023
* nitpicking

* inner regularity proof

* complete proof of egoroff

* ae egoroff done

* factorize bigcup_itvT

- a similar lemma was already proved and used
- move similar-looking lemmas to real_interval.v
- tauto was failing on my side so I temporarily patched inner regularity

---------

Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
proux01 pushed a commit that referenced this pull request Jul 8, 2023
* nitpicking

* inner regularity proof

* complete proof of egoroff

* ae egoroff done

* factorize bigcup_itvT

- a similar lemma was already proved and used
- move similar-looking lemmas to real_interval.v
- tauto was failing on my side so I temporarily patched inner regularity

---------

Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
@proux01 proux01 removed the TODO: MC2 port This PR must be ported to mathcomp 2 now that the. Remove this label when the port is done. label Jul 17, 2023
IshiguroYoshihiro pushed a commit to IshiguroYoshihiro/analysis that referenced this pull request Sep 7, 2023
* nitpicking

* inner regularity proof

* almost done with egoroff

* complete proof of egoroff

* ae egoroff done

* moving lemmas around

* linting

* updating changelog

* factorize bigcup_itvT

- a similar lemma was already proved and used
- move similar-looking lemmas to real_interval.v
- tauto was failing on my side so I temporarily patched inner regularity

* nitpicking

* nitpicking

* fixing rebase

* trying to fix builds

* more build fix

* fix build again

* simpler tactics to fix build

* still trying to fix build

---------

Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
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3 participants