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feat(measure_theory/integral/interval_integral): interval_integrable.comp #7065

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@benjamindavidson benjamindavidson commented Apr 6, 2021


Spawned from #7012.

My current proof of interval_integrable.comp is

lemma comp [borel_space E] {μ : measure ℝ} [locally_finite_measure μ] {a b : ℝ}
  {f : ℝ → E} {g : ℝ → ℝ} (hf : continuous f) (hg : continuous g) :
  interval_integrable (λ x, (f ∘ g) x) μ a b :=
(hf.comp hg).interval_integrable a b

I ought to be able to weaken the assumptions, but I'm not sure how to go about doing so (see Zulip). All help is more than welcome!

Once everything is figured out with that lemma I hopefully can also add some specific compositions, e.g. interval_integrable.pow.

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(The GitHub actions queue is backed up, so I canceled the build of 375aa86.)

@benjamindavidson benjamindavidson added the help-wanted The author needs attention to resolve issues label Apr 9, 2021
@github-actions github-actions bot added the merge-conflict Please `git merge origin/master` then a bot will remove this label. label Apr 25, 2021
@YaelDillies YaelDillies requested a review from a team as a code owner April 19, 2023 21:23
@YaelDillies YaelDillies changed the title feat(analysis/special_functions/integrals): integrals of cos x ^ 2 and sin x ^ 2 feat(measure_theory/integral/interval_integral): interval_integrable.comp Apr 19, 2023
@YaelDillies YaelDillies added t-measure-probability Measure theory / Probability theory t-analysis Analysis (normed *, calculus) and removed merge-conflict Please `git merge origin/master` then a bot will remove this label. labels Apr 19, 2023
@semorrison semorrison added the too-late This PR was ready too late for inclusion in mathlib3 label Jul 16, 2023
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