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[Merged by Bors] - feat(geometry/manifold/vector_bundle/tangent): use the new tangent bundle definition in the library#18601

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[Merged by Bors] - feat(geometry/manifold/vector_bundle/tangent): use the new tangent bundle definition in the library#18601
fpvandoorn wants to merge 12 commits intomasterfrom
new-tangent-bundle2

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@fpvandoorn
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@fpvandoorn fpvandoorn commented Mar 16, 2023

  • Stop using the old tangent bundle definition, and use the new one instead
  • This affects geometry.manifold.mfderiv and later files.
  • We remove cont_mdiff_at_iff_target, which doesn't hold anymore in the new setting.
  • We prove cont_mdiff_at_total_space, which characterizes C^n maps into a vector bundle. We need a bunch of basic lemmas to prove this. This makes it easy to prove smooth_zero_section.
  • We move some results from cont_mdiff_mfderiv to manifold/vector_bundle/basic

This supersedes #18068

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@fpvandoorn fpvandoorn added awaiting-review The author would like community review of the PR awaiting-CI The author would like to see what CI has to say before doing more work. and removed WIP Work in progress labels Mar 17, 2023
@github-actions github-actions bot removed the awaiting-CI The author would like to see what CI has to say before doing more work. label Mar 20, 2023
@sgouezel
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This looks very good to me. Thanks a lot! I'd say let's merge this, but maybe @hrmacbeth wants to have a look first.

@sgouezel
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@hrmacbeth, do you have more comments on the PR, or do you want some more time to look at it? Otherwise, I'll merge it in a few days.

@kim-em
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kim-em commented Mar 28, 2023

bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Mar 28, 2023
bors bot pushed a commit that referenced this pull request Mar 28, 2023
…ndle definition in the library (#18601)

* Stop using the old tangent bundle definition, and use the new one instead
* This affects `geometry.manifold.mfderiv` and later files.
* We remove `cont_mdiff_at_iff_target`, which doesn't hold anymore in the new setting. 
* We prove `cont_mdiff_at_total_space`, which characterizes `C^n` maps into a vector bundle. We need a bunch of basic lemmas to prove this. This makes it easy to prove `smooth_zero_section`.
* We move some results from `cont_mdiff_mfderiv` to `manifold/vector_bundle/basic`
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bors bot commented Mar 28, 2023

Build failed (retrying...):

bors bot pushed a commit that referenced this pull request Mar 28, 2023
…ndle definition in the library (#18601)

* Stop using the old tangent bundle definition, and use the new one instead
* This affects `geometry.manifold.mfderiv` and later files.
* We remove `cont_mdiff_at_iff_target`, which doesn't hold anymore in the new setting. 
* We prove `cont_mdiff_at_total_space`, which characterizes `C^n` maps into a vector bundle. We need a bunch of basic lemmas to prove this. This makes it easy to prove `smooth_zero_section`.
* We move some results from `cont_mdiff_mfderiv` to `manifold/vector_bundle/basic`
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bors bot commented Mar 29, 2023

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(geometry/manifold/vector_bundle/tangent): use the new tangent bundle definition in the library [Merged by Bors] - feat(geometry/manifold/vector_bundle/tangent): use the new tangent bundle definition in the library Mar 29, 2023
@bors bors bot closed this Mar 29, 2023
@bors bors bot deleted the new-tangent-bundle2 branch March 29, 2023 02:46
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