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[Merged by Bors] - chore: an injective bounded linear operator has closed range iff it is anti-Lipschitz#23175

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MR-cle-closedrange
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[Merged by Bors] - chore: an injective bounded linear operator has closed range iff it is anti-Lipschitz#23175
grunweg wants to merge 7 commits intomasterfrom
MR-cle-closedrange

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@grunweg grunweg commented Mar 21, 2025 •
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And make the argument f of ContinuousLinearMap.equivRange implicit,
as the explicit hypotheses hf and hclo mention f.

This is motivated by defining immersions between Banach manifolds: the correct condition is that the mfderiv is a split linear map, and proving that the composition of split linear maps is split requires this lemma.

There is one remaining sorry, which I don't know how to do: @winstonyin as the original author of ContinuousLinearMap.equivRange, do you happen to have an idea? RubenVandeVelde helped me fix the sorry, but better approaches are very welcome.

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github-actions bot commented Mar 21, 2025 •
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PR summary e781366582

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ antilipschitz_of_injective_of_isClosed_range
+ equivRange_symm_apply
+ equivRange_symm_toLinearEquiv
+ isClosed_range_iff_antilipschitz_of_injective

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.

No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@github-actions github-actions bot added the t-analysis Analysis (normed *, calculus) label Mar 21, 2025
@grunweg grunweg added the help-wanted The author needs attention to resolve issues label Mar 21, 2025
@grunweg grunweg removed the help-wanted The author needs attention to resolve issues label Mar 21, 2025
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grunweg commented Mar 21, 2025 •
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For posterity: ContinuousLinearMap.closed_complemented_range_of_isCompl_of_ker_eq_bot is related, but proves something weaker than this.

This was referenced Mar 21, 2025
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jcommelin
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bors d+

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mathlib-bors bot commented Mar 25, 2025

✌️ grunweg can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@ghost ghost added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Mar 25, 2025
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37c20e3 
Co-authored-by: Johan Commelin <johan@commelin.net>
grunweg
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grunweg commented Mar 25, 2025

Addressing the review comment made me realise that presumable f should be implicit, since the hypotheses hf and hclo mention it. I just pushed a commit making it so. @jcommelin Let me know if you disagree or are not sure, then I can roll that back/start a separate discussion.

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grunweg commented Mar 25, 2025

Let me just merge this; if there is any controversy about the explicitness change, I'm happy to revert or tweak this.
bors merge

mathlib-bors bot pushed a commit that referenced this pull request Mar 25, 2025
@grunweg
chore: an injective bounded linear operator has closed range iff it i…
f832b44 
…s anti-Lipschitz (#23175)

And make the argument `f` of `ContinuousLinearMap.equivRange` implicit,
as the explicit hypotheses `hf` and `hclo` mention `f`.



Co-authored-by: grunweg <rothgami@math.hu-berlin.de>
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mathlib-bors bot commented Mar 25, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title chore: an injective bounded linear operator has closed range iff it is anti-Lipschitz [Merged by Bors] - chore: an injective bounded linear operator has closed range iff it is anti-Lipschitz Mar 25, 2025
@mathlib-bors mathlib-bors bot closed this Mar 25, 2025
@mathlib-bors mathlib-bors bot deleted the MR-cle-closedrange branch March 25, 2025 15:29
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