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[Merged by Bors] - refactor(measure_theory/function/uniform_integrable): change uniform_integrable to only require ae_strongly_measurable #15623

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The L¹ version of the strong LLN does not require strongly_measurable but the assumption in uniform_integrable forces it to have this condition if not requiring an extra step to relax the condition (see #15392). This PR relaxes the definition of uniform_integrable so it only requires ae_strongly_measurable.


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@JasonKYi JasonKYi added the awaiting-review The author would like community review of the PR label Jul 22, 2022
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This looks very good, thanks!

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@sgouezel sgouezel added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review The author would like community review of the PR labels Jul 22, 2022
@JasonKYi JasonKYi added awaiting-review The author would like community review of the PR and removed awaiting-author A reviewer has asked the author a question or requested changes labels Jul 22, 2022
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bors r+
Thanks!

@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 Jul 25, 2022
bors bot pushed a commit that referenced this pull request Jul 25, 2022
…_integrable` to only require `ae_strongly_measurable` (#15623)


The L¹ version of the strong LLN does not require `strongly_measurable` but the assumption in `uniform_integrable` forces it to have this condition if not requiring an extra step to relax the condition (see #15392). This PR relaxes the definition of `uniform_integrable` so it only requires `ae_strongly_measurable`.
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bors bot commented Jul 25, 2022

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title refactor(measure_theory/function/uniform_integrable): change uniform_integrable to only require ae_strongly_measurable [Merged by Bors] - refactor(measure_theory/function/uniform_integrable): change uniform_integrable to only require ae_strongly_measurable Jul 25, 2022
@bors bors bot closed this Jul 25, 2022
@bors bors bot deleted the JasonKYi/unif_int branch July 25, 2022 15:14
bottine pushed a commit to bottine/mathlib that referenced this pull request Jul 30, 2022
…_integrable` to only require `ae_strongly_measurable` (leanprover-community#15623)


The L¹ version of the strong LLN does not require `strongly_measurable` but the assumption in `uniform_integrable` forces it to have this condition if not requiring an extra step to relax the condition (see leanprover-community#15392). This PR relaxes the definition of `uniform_integrable` so it only requires `ae_strongly_measurable`.
robertylewis pushed a commit that referenced this pull request Aug 2, 2022
…_integrable` to only require `ae_strongly_measurable` (#15623)


The L¹ version of the strong LLN does not require `strongly_measurable` but the assumption in `uniform_integrable` forces it to have this condition if not requiring an extra step to relax the condition (see #15392). This PR relaxes the definition of `uniform_integrable` so it only requires `ae_strongly_measurable`.
khwilson pushed a commit that referenced this pull request Aug 2, 2022
…_integrable` to only require `ae_strongly_measurable` (#15623)


The L¹ version of the strong LLN does not require `strongly_measurable` but the assumption in `uniform_integrable` forces it to have this condition if not requiring an extra step to relax the condition (see #15392). This PR relaxes the definition of `uniform_integrable` so it only requires `ae_strongly_measurable`.
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