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[Merged by Bors] - feat: measurability of the derivative of a function depending on a parameter#6903

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sgouezel wants to merge 9 commits intomasterfrom
SG_meas_deriv_param
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[Merged by Bors] - feat: measurability of the derivative of a function depending on a parameter#6903
sgouezel wants to merge 9 commits intomasterfrom
SG_meas_deriv_param

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@sgouezel sgouezel commented Aug 31, 2023

We reuse the main results that were proved for functions not depending on a parameter (but we need to tweak the definition of the set A to let it cover all cases, replacing a large inequality by a strict one).


There are also name cleanups (when a set is named A, the lemma name should be not_mem_A and not not_mem_a, whatever the naming convention says), and a few prerequisites. I can split these off in other PRs if it makes things easier to review, just tell me.

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@sgouezel sgouezel added awaiting-review t-analysis Analysis (normed *, calculus) labels Aug 31, 2023
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Looks reasonable!

simp only [HasFDerivAt, HasFDerivAtFilter, isLittleO_iff] at this
rcases eventually_nhds_iff_ball.1 (this (half_pos hε)) with ⟨R, R_pos, hR⟩
let δ := (ε/2)/2
have hδ : 0 < δ := half_pos (half_pos hε)
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Could be positivity if you want to

Comment on lines +942 to +947
refine MeasurableSet.iInter (fun _ ↦ ?_)
refine MeasurableSet.iUnion (fun _ ↦ ?_)
refine MeasurableSet.iInter (fun _ ↦ ?_)
refine MeasurableSet.iInter (fun _ ↦ ?_)
refine MeasurableSet.iInter (fun _ ↦ ?_)
refine MeasurableSet.iInter (fun _ ↦ ?_)
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😱

sgouezel and others added 3 commits September 5, 2023 16:52
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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I'm not finding any golf anymore.

maintainer merge

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github-actions bot commented Sep 6, 2023

🚀 Pull request has been placed on the maintainer queue by YaelDillies.

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bors merge

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Sep 7, 2023
bors bot pushed a commit that referenced this pull request Sep 7, 2023
…rameter (#6903)

We reuse the main results that were proved for functions not depending on a parameter (but we need to tweak the definition of the set `A` to let it cover all cases, replacing a large inequality by a strict one).
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bors bot commented Sep 7, 2023

Build failed:

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sgouezel commented Sep 7, 2023

bors r+

bors bot pushed a commit that referenced this pull request Sep 7, 2023
…rameter (#6903)

We reuse the main results that were proved for functions not depending on a parameter (but we need to tweak the definition of the set `A` to let it cover all cases, replacing a large inequality by a strict one).
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bors bot commented Sep 7, 2023

Pull request successfully merged into master.

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@bors bors bot changed the title feat: measurability of the derivative of a function depending on a parameter [Merged by Bors] - feat: measurability of the derivative of a function depending on a parameter Sep 7, 2023
@bors bors bot closed this Sep 7, 2023
@bors bors bot deleted the SG_meas_deriv_param branch September 7, 2023 19:43
kodyvajjha pushed a commit that referenced this pull request Sep 22, 2023
…rameter (#6903)

We reuse the main results that were proved for functions not depending on a parameter (but we need to tweak the definition of the set `A` to let it cover all cases, replacing a large inequality by a strict one).
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