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[Merged by Bors] - feat: When the symmetric difference has finite measure #12370

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Add the following lemma: is s and t are two measurable sets such that s and s ∆ t have finite measures, then so does t.


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@github-actions github-actions bot added the new-contributor This PR was made by a contributor with fewer than 5 merged PRs. Welcome to the community! label Apr 23, 2024
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Can you rather show that if s ∆ t has finite measure, then s has finite measure iff t has finite measure?

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Done! I also added the two implications.

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Thanks!

maintainer merge

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

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

@YaelDillies YaelDillies changed the title feat: add lemma Ne.measure_ne_top_of_symmDiff feat: When the symmetric difference has finite measure Apr 23, 2024
EtienneC30 and others added 2 commits April 23, 2024 17:43
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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Thanks 🎉

bors merge

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Apr 23, 2024
mathlib-bors bot pushed a commit that referenced this pull request Apr 23, 2024
Add the following lemma: is `s` and `t` are two measurable sets such that `s` and `s ∆ t` have finite measures, then so does `t`.



Co-authored-by: Etienne <66847262+EtienneC30@users.noreply.github.com>
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mathlib-bors bot commented Apr 23, 2024

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat: When the symmetric difference has finite measure [Merged by Bors] - feat: When the symmetric difference has finite measure Apr 23, 2024
@mathlib-bors mathlib-bors bot closed this Apr 23, 2024
@mathlib-bors mathlib-bors bot deleted the em/measure_ne_top_of_symmDiff branch April 23, 2024 18:15
Jun2M pushed a commit that referenced this pull request Apr 24, 2024
Add the following lemma: is `s` and `t` are two measurable sets such that `s` and `s ∆ t` have finite measures, then so does `t`.



Co-authored-by: Etienne <66847262+EtienneC30@users.noreply.github.com>
callesonne pushed a commit that referenced this pull request May 16, 2024
Add the following lemma: is `s` and `t` are two measurable sets such that `s` and `s ∆ t` have finite measures, then so does `t`.



Co-authored-by: Etienne <66847262+EtienneC30@users.noreply.github.com>
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4 participants