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[Merged by Bors] - feat: the inverse of an analytic partial homeo is also analytic #17170

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We already have the results for the inverse of formal multilinear series, so this PR is mostly just extending our API. However, this showed that our API is suboptimal (notably with respect to the choice of constant coefficients in inverses of formal multilinear series), so we also tweak the definitions of FormalMultilinearSeries.id and FormalMultilinearSeries.leftInv/rightInv to make them more usable.


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@sgouezel sgouezel added the t-analysis Analysis (normed *, calculus) label Sep 26, 2024
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github-actions bot commented Sep 26, 2024

PR summary 5b99820f1f

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.Analysis.Analytic.Inverse 1369 1370 +1 (+0.07%)
Import changes for all files
Files Import difference
Mathlib.Analysis.Analytic.Inverse 1

Declarations diff

+ HasFPowerSeriesAt.eventually_hasSum_of_comp
+ HasFPowerSeriesAt.tendsto_partialSum
+ HasFPowerSeriesAt.tendsto_partialSum_prod_of_comp
+ HasProd.of_sigma
+ PartialHomeomorph.hasFPowerSeriesAt_symm
+ compPartialSumTarget_tendsto_prod_atTop
+ id_apply_of_one_lt
+ id_apply_zero
+ id_comp'
+ radius_leftInv_pos_of_radius_pos
- id_apply_ne_one

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.

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Thanks 🎉

bors merge

@github-actions github-actions bot added the ready-to-merge This PR has been sent to bors. label Sep 27, 2024
mathlib-bors bot pushed a commit that referenced this pull request Sep 27, 2024
We already have the results for the inverse of formal multilinear series, so this PR is mostly just extending our API. However, this showed that our API is suboptimal (notably with respect to the choice of constant coefficients in inverses of formal multilinear series), so we also tweak the definitions of `FormalMultilinearSeries.id` and `FormalMultilinearSeries.leftInv/rightInv` to make them more usable.



Co-authored-by: Johan Commelin <johan@commelin.net>
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mathlib-bors bot commented Sep 27, 2024

Build failed (retrying...):

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bors r-

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mathlib-bors bot commented Sep 27, 2024

Canceled.

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bors r+

mathlib-bors bot pushed a commit that referenced this pull request Sep 28, 2024
We already have the results for the inverse of formal multilinear series, so this PR is mostly just extending our API. However, this showed that our API is suboptimal (notably with respect to the choice of constant coefficients in inverses of formal multilinear series), so we also tweak the definitions of `FormalMultilinearSeries.id` and `FormalMultilinearSeries.leftInv/rightInv` to make them more usable.



Co-authored-by: Johan Commelin <johan@commelin.net>
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mathlib-bors bot commented Sep 28, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: the inverse of an analytic partial homeo is also analytic [Merged by Bors] - feat: the inverse of an analytic partial homeo is also analytic Sep 28, 2024
@mathlib-bors mathlib-bors bot closed this Sep 28, 2024
@mathlib-bors mathlib-bors bot deleted the SG_analytic_inv branch September 28, 2024 08:48
fbarroero pushed a commit that referenced this pull request Oct 2, 2024
We already have the results for the inverse of formal multilinear series, so this PR is mostly just extending our API. However, this showed that our API is suboptimal (notably with respect to the choice of constant coefficients in inverses of formal multilinear series), so we also tweak the definitions of `FormalMultilinearSeries.id` and `FormalMultilinearSeries.leftInv/rightInv` to make them more usable.



Co-authored-by: Johan Commelin <johan@commelin.net>
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