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[Merged by Bors] - feat(Analysis/Complex/AbsMax): add two lemmas#18198

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CBirkbeck wants to merge 7 commits intomasterfrom
CB_maxmodulus_lems
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[Merged by Bors] - feat(Analysis/Complex/AbsMax): add two lemmas#18198
CBirkbeck wants to merge 7 commits intomasterfrom
CB_maxmodulus_lems

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@CBirkbeck CBirkbeck commented Oct 24, 2024

add two results:

  • If f is differentiable on the open unit ball {z : ℂ | ‖z‖ < 1}, and ‖f‖ attains a maximum
    in this open ball, then f is constant

  • If f is a function differentiable on the open unit ball, and there exists an r < 1 such that
    any value of ‖f‖ on the open ball is bounded above by some value on the closed ball of radius r,
    then f is constant.

These lemmas together with #18192 will be used to prove some dimension results for spaces of modular forms.


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github-actions bot commented Oct 24, 2024

PR summary fb59bc7818

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ eq_const_of_exists_le
+ eq_const_of_exists_max

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

@github-actions github-actions bot added the t-analysis Analysis (normed *, calculus) label Oct 24, 2024
@CBirkbeck CBirkbeck requested a review from loefflerd October 24, 2024 18:42
@CBirkbeck CBirkbeck marked this pull request as ready for review October 24, 2024 18:42
@Ruben-VandeVelde Ruben-VandeVelde added the awaiting-author A reviewer has asked the author a question or requested changes. label Oct 26, 2024
CBirkbeck and others added 3 commits October 31, 2024 08:55
Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
@CBirkbeck CBirkbeck removed the awaiting-author A reviewer has asked the author a question or requested changes. label Oct 31, 2024
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Thanks! Some purely cosmetic changes below

@j-loreaux j-loreaux added the awaiting-author A reviewer has asked the author a question or requested changes. label Nov 4, 2024
CBirkbeck and others added 3 commits November 4, 2024 18:32
@CBirkbeck CBirkbeck removed the awaiting-author A reviewer has asked the author a question or requested changes. label Nov 4, 2024
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Thanks! LGTM now, but this isn't quite my corner of the library, so:

maintainer merge

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🚀 Pull request has been placed on the maintainer queue by j-loreaux.

@github-actions github-actions bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Nov 11, 2024
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Thanks 🎉

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Nov 11, 2024
mathlib-bors bot pushed a commit that referenced this pull request Nov 11, 2024
add two results:

-  If `f` is differentiable on the open unit ball `{z : ℂ | ‖z‖ < 1}`, and `‖f‖` attains a maximum
in  this open ball, then `f` is constant 

-   If `f` is a function differentiable on the open unit ball, and there exists an `r < 1` such that
any value of `‖f‖` on the open ball is bounded above by some value on the closed ball of radius `r`,
then `f` is constant. 

These lemmas together with #18192 will be used to prove some dimension results for spaces of modular forms.
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mathlib-bors bot commented Nov 11, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Analysis/Complex/AbsMax): add two lemmas [Merged by Bors] - feat(Analysis/Complex/AbsMax): add two lemmas Nov 11, 2024
@mathlib-bors mathlib-bors bot closed this Nov 11, 2024
@mathlib-bors mathlib-bors bot deleted the CB_maxmodulus_lems branch November 11, 2024 15:25
Jun2M pushed a commit that referenced this pull request Nov 17, 2024
add two results:

-  If `f` is differentiable on the open unit ball `{z : ℂ | ‖z‖ < 1}`, and `‖f‖` attains a maximum
in  this open ball, then `f` is constant 

-   If `f` is a function differentiable on the open unit ball, and there exists an `r < 1` such that
any value of `‖f‖` on the open ball is bounded above by some value on the closed ball of radius `r`,
then `f` is constant. 

These lemmas together with #18192 will be used to prove some dimension results for spaces of modular forms.
TobiasLeichtfried pushed a commit that referenced this pull request Nov 21, 2024
add two results:

-  If `f` is differentiable on the open unit ball `{z : ℂ | ‖z‖ < 1}`, and `‖f‖` attains a maximum
in  this open ball, then `f` is constant 

-   If `f` is a function differentiable on the open unit ball, and there exists an `r < 1` such that
any value of `‖f‖` on the open ball is bounded above by some value on the closed ball of radius `r`,
then `f` is constant. 

These lemmas together with #18192 will be used to prove some dimension results for spaces of modular forms.
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4 participants