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[Merged by Bors] - chore(measure_theory/pi): a few more lemmas #5604

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@urkud urkud commented Jan 4, 2021

Also prove that a locally finite measure in a second_countable_topology is sigma_finite.


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@urkud urkud requested a review from fpvandoorn January 4, 2021 05:27
@github-actions github-actions bot added blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. merge-conflict Please `git merge origin/master` then a bot will remove this label. and removed blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. labels Jan 4, 2021
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🎉 Great news! Looks like all the dependencies have been resolved:

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src/algebra/big_operators/order.lean Outdated Show resolved Hide resolved
@@ -748,6 +748,10 @@ section sum

open finset

/-- A product of finite numbers is still finite -/
lemma prod_lt_top {s : finset α} {f : α → ennreal} (h : ∀a∈s, f a < ∞) : (∏ a in s, f a) < ∞ :=
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I thought that ≠ ∞ was the preferred way to write this in ennreal? But if it's not standard, I'm happy to accept this, and try to uniformize this in a later PR.

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In data/real/ennreal many lemmas are stated both for < ∞ and ≠ ∞. Probably we should uniformize this at some point.

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Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>
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There is a merge conflict in big_operators/order (presumably with #5602), but other than that this looks good

bors d+

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✌️ 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.

@bryangingechen bryangingechen added awaiting-author A reviewer has asked the author a question or requested changes delegated The PR author may merge after reviewing final suggestions. and removed awaiting-review The author would like community review of the PR labels Jan 5, 2021
@github-actions github-actions bot removed the merge-conflict Please `git merge origin/master` then a bot will remove this label. label Jan 5, 2021
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urkud commented Jan 6, 2021

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-author A reviewer has asked the author a question or requested changes labels Jan 6, 2021
bors bot pushed a commit that referenced this pull request Jan 6, 2021
Also prove that a locally finite measure in a `second_countable_topology` is `sigma_finite`.
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Pull request successfully merged into master.

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@bors bors bot changed the title chore(measure_theory/pi): a few more lemmas [Merged by Bors] - chore(measure_theory/pi): a few more lemmas Jan 6, 2021
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@bors bors bot deleted the pi-measure branch January 6, 2021 02:29
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Also prove that a locally finite measure in a `second_countable_topology` is `sigma_finite`.
bors bot pushed a commit that referenced this pull request Jan 8, 2021
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