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[Merged by Bors] - chore(analysis/calculus/mean_value): use 𝓝[Ici x] x instead of 𝓝[Ioi x] x #5472

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[Merged by Bors] - chore(analysis/calculus/mean_value): use 𝓝[Ici x] x instead of 𝓝[Ioi x] x #5472

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@urkud urkud commented Dec 22, 2020

In many parts of the library we prefer 𝓝[Ici x] x to 𝓝[Ioi x] x (e.g., in assumptions line continuous_within_at). Fix MVT and
Gronwall's inequality to use it if possible.

Motivated by #4945

@urkud
chore(analysis/calculus/mean_value): use 𝓝[Ici x] x instead of `𝓝[I…
fefdd2b 
…oi x] x`

In many parts of the library we prefer `𝓝[Ici x] x` to `𝓝[Ioi x]
x` (e.g., in assumptions line `continuous_within_at`). Fix MVT and
Gronwall's inequality to use it if possible.
@urkud urkud added the awaiting-review The author would like community review of the PR label Dec 22, 2020
@PatrickMassot
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Should we add comments pointing towards has_deriv_within_at_Ioi_iff_Ici? It looks weird to have lemmas whose assumptions suddenly look stronger. But maybe it's only when viewing the diff that it looks strange. Feel free to go ahead.
bors d+

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bors bot commented Dec 22, 2020

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

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urkud commented Dec 22, 2020

I'll add a library_note about Ioi vs Ici in another PR.
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 Dec 22, 2020
bors bot pushed a commit that referenced this pull request Dec 22, 2020
@urkud
chore(analysis/calculus/mean_value): use 𝓝[Ici x] x instead of `𝓝[I…
0f1362e 
…oi x] x` (#5472)

In many parts of the library we prefer `𝓝[Ici x] x` to `𝓝[Ioi x]
x` (e.g., in assumptions line `continuous_within_at`). Fix MVT and
Gronwall's inequality to use it if possible.

Motivated by #4945
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bors bot commented Dec 22, 2020

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title chore(analysis/calculus/mean_value): use 𝓝[Ici x] x instead of 𝓝[Ioi x] x [Merged by Bors] - chore(analysis/calculus/mean_value): use 𝓝[Ici x] x instead of 𝓝[Ioi x] x Dec 22, 2020
@bors bors bot closed this Dec 22, 2020
@bors bors bot deleted the mvt-Ici branch December 22, 2020 20:34
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