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tentative formalization of Vitali's theorem #984

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merged 4 commits into from
Nov 14, 2023

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@affeldt-aist affeldt-aist commented Jul 17, 2023

Motivation for this change

based on PR #973

also duplicates code from a number of trivial PRs that should be merged first
(PR #991 PR #992 PR #985 )

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.

@affeldt-aist affeldt-aist marked this pull request as draft July 17, 2023 14:57
@affeldt-aist affeldt-aist changed the title Vitali theorem tentative formalization of Vitali's theorem Jul 17, 2023
@affeldt-aist affeldt-aist mentioned this pull request Jul 19, 2023
2 tasks
@affeldt-aist affeldt-aist force-pushed the vitali_theorem branch 2 times, most recently from d6256e9 to 03a4a02 Compare July 23, 2023 21:24
@affeldt-aist affeldt-aist added this to the 0.6.4 milestone Jul 27, 2023
@affeldt-aist affeldt-aist added enhancement ✨ This issue/PR is about adding new features enhancing the library TODO: MC2 port This PR must be ported to mathcomp 2 now that the. Remove this label when the port is done. labels Jul 27, 2023
@affeldt-aist affeldt-aist marked this pull request as ready for review July 27, 2023 06:57
@affeldt-aist affeldt-aist modified the milestones: 0.6.4, 0.6.5 Aug 5, 2023
@affeldt-aist affeldt-aist modified the milestones: 0.6.5, 0.6.6 Sep 28, 2023
@affeldt-aist affeldt-aist force-pushed the vitali_theorem branch 3 times, most recently from 6700d2c to 97749b3 Compare October 2, 2023 15:58
@affeldt-aist affeldt-aist marked this pull request as draft October 16, 2023 09:55
@affeldt-aist affeldt-aist marked this pull request as ready for review October 25, 2023 14:15
@affeldt-aist affeldt-aist force-pushed the vitali_theorem branch 2 times, most recently from c264406 to 2793656 Compare November 11, 2023 13:25
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@zstone1 note that commit 2793656 turnes the lemma closed_disjoint_closed_ball

Lemma closed_disjoint_closed_ball {R : realFieldType} {M : normedModType R}
    (K : set M) z (k : R) : closed K -> ~ K z -> 0 < k ->
  exists2 d : {posnum R}, d%:num < k & closed_ball z d%:num `&` K = set0.

into a near version as you suggested:

Lemma closed_disjoint_closed_ball {R : realFieldType} {M : normedModType R}
    (K : set M) z : closed K -> ~ K z ->
  \forall d \near 0^'+, closed_ball z d `&` K = set0.

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The script for Vitali's theorem is far from being perfect but at least it is an application of the infinite case of Vitali's lemma.

@affeldt-aist affeldt-aist requested a review from zstone1 November 11, 2023 13:28
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One quick question about where the is_ball assumption goes, otherwise it's good.

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@affeldt-aist affeldt-aist merged commit e9e0b81 into math-comp:master Nov 14, 2023
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affeldt-aist added a commit to affeldt-aist/analysis that referenced this pull request Nov 14, 2023
* tentative formalization of Vitali's theorem

---------

Co-authored-by: zstone1 <[email protected]>
proux01 pushed a commit that referenced this pull request Nov 15, 2023
* tentative formalization of Vitali's theorem

---------

Co-authored-by: zstone1 <[email protected]>
@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 Nov 15, 2023
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3 participants