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[Merged by Bors] - feat(MeasureTheory/Integral/Bochner): add exists_ne_zero_of_integral_ne_zero and exists_ne_zero_of_setIntegral_ne_zero#37568

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[Merged by Bors] - feat(MeasureTheory/Integral/Bochner): add exists_ne_zero_of_integral_ne_zero and exists_ne_zero_of_setIntegral_ne_zero#37568
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@pitmonticone pitmonticone commented Apr 2, 2026

If an integral (or set integral) is nonzero, then the integrand is nonzero at some point.

Upstreamed from the Carleson project.

Co-authored-by: María Inés de Frutos-Fernández mariaines.dff@gmail.com

@pitmonticone pitmonticone added carleson part of the ongoing formalization of Carleson's theorem easy < 20s of review time. See the lifecycle page for guidelines. labels Apr 2, 2026
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github-actions bot commented Apr 2, 2026 •
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PR summary a1ce43f036

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ exists_ne_zero_of_integral_ne_zero
+ exists_ne_zero_of_setIntegral_ne_zero
+ frequently_ae_ne_zero_of_integral_ne_zero
+ frequently_ae_ne_zero_of_setIntegral_ne_zero

You can run this locally as follows 
## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.

No changes to technical debt.

You can run this locally as

./scripts/reporting/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@github-actions github-actions bot added the t-measure-probability Measure theory / Probability theory label Apr 2, 2026
@pitmonticone pitmonticone mentioned this pull request Apr 2, 2026
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ADedecker
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@ADedecker ADedecker added the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 3, 2026
@pitmonticone pitmonticone force-pushed the carleson/exists-ne-zero-integral branch from 97f89b3 to 7359480 Compare April 3, 2026 11:31
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pitmonticone commented Apr 3, 2026

Thanks, done.

ADedecker
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@pitmonticone @mariainesdff
feat(MeasureTheory/Integral/Bochner): add `frequently_ae_ne_zero_of_i…
cd697f3 
…ntegral_ne_zero`, `exists_ne_zero_of_integral_ne_zero`, and `exists_ne_zero_of_setIntegral_ne_zero`

If an integral (or set integral) is nonzero, then the integrand is frequently (resp. somewhere) nonzero.

Upstreamed from the [Carleson](https://github.com/fpvandoorn/carleson) project.

Co-authored-by: María Inés de Frutos-Fernández <mariaines.dff@gmail.com>
@pitmonticone pitmonticone force-pushed the carleson/exists-ne-zero-integral branch from 7359480 to cd697f3 Compare April 3, 2026 12:46
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pitmonticone commented Apr 3, 2026

Done, added frequently_ae_ne_zero_of_setIntegral_ne_zero.

@ADedecker ADedecker removed the awaiting-author A reviewer has asked the author a question or requested changes. label Apr 3, 2026
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ADedecker commented Apr 3, 2026

Thanks!

bors merge

@mathlib-triage mathlib-triage bot added the ready-to-merge This PR has been sent to bors. label Apr 3, 2026
mathlib-bors bot pushed a commit that referenced this pull request Apr 3, 2026
@pitmonticone @mariainesdff
feat(MeasureTheory/Integral/Bochner): add `exists_ne_zero_of_integral…
caa79c2 
…_ne_zero` and `exists_ne_zero_of_setIntegral_ne_zero` (#37568)

If an integral (or set integral) is nonzero, then the integrand is nonzero at some point.

Upstreamed from the [Carleson](https://github.com/fpvandoorn/carleson) project.

Co-authored-by: María Inés de Frutos-Fernández <mariaines.dff@gmail.com>
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mathlib-bors bot commented Apr 3, 2026

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(MeasureTheory/Integral/Bochner): add exists_ne_zero_of_integral_ne_zero and exists_ne_zero_of_setIntegral_ne_zero [Merged by Bors] - feat(MeasureTheory/Integral/Bochner): add exists_ne_zero_of_integral_ne_zero and exists_ne_zero_of_setIntegral_ne_zero Apr 3, 2026
@mathlib-bors mathlib-bors bot closed this Apr 3, 2026
riccardobrasca pushed a commit to riccardobrasca/mathlib4 that referenced this pull request Apr 6, 2026
@pitmonticone @mariainesdff @riccardobrasca
feat(MeasureTheory/Integral/Bochner): add `exists_ne_zero_of_integral…
7b04781 
…_ne_zero` and `exists_ne_zero_of_setIntegral_ne_zero` (leanprover-community#37568)

If an integral (or set integral) is nonzero, then the integrand is nonzero at some point.

Upstreamed from the [Carleson](https://github.com/fpvandoorn/carleson) project.

Co-authored-by: María Inés de Frutos-Fernández <mariaines.dff@gmail.com>
YellPika pushed a commit to YellPika/mathlib4 that referenced this pull request Apr 6, 2026
@pitmonticone @mariainesdff @YellPika
feat(MeasureTheory/Integral/Bochner): add `exists_ne_zero_of_integral…
e711953 
…_ne_zero` and `exists_ne_zero_of_setIntegral_ne_zero` (leanprover-community#37568)

If an integral (or set integral) is nonzero, then the integrand is nonzero at some point.

Upstreamed from the [Carleson](https://github.com/fpvandoorn/carleson) project.

Co-authored-by: María Inés de Frutos-Fernández <mariaines.dff@gmail.com>
fpvandoorn pushed a commit to fpvandoorn/carleson that referenced this pull request Apr 7, 2026
@pitmonticone
chore(ToMathlib): note upstreaming status for 8 files (#548)
9ac500b 
Update the upstreaming status comments for files that have been PRed to
mathlib:

- `Analysis/MeanInequalitiesPow`
leanprover-community/mathlib4#37547
- `Order/LiminfLimsup`
leanprover-community/mathlib4#37549 (merged)
- `Topology/Order/Basic`
leanprover-community/mathlib4#37550 (moved to
DenselyOrdered)
- `MeasureTheory/Integral/Average`
leanprover-community/mathlib4#37551
- `MeasureTheory/Measure/ENNReal`
leanprover-community/mathlib4#37552 (generalized
to `measurable_iSup_of_lowerSemicontinuous`)
- `MeasureTheory/Integral/Lebesgue`
leanprover-community/mathlib4#37558 (merged)
- `MeasureTheory/Function/LpSpace/Indicator`
leanprover-community/mathlib4#37559
- `MeasureTheory/Function/LpSpace/ContinuousFunctions`
leanprover-community/mathlib4#37560
- `Data/ENNReal`
leanprover-community/mathlib4#37565 (partial)
- `MeasureTheory/Integral/Bochner/ContinuousLinearMap`
leanprover-community/mathlib4#37568 (partial)
- `Topology/Instances/AddCircle/Defs`
leanprover-community/mathlib4#37570 (partial)
- `Discrete/SumEstimates`
leanprover-community/mathlib4#37597

Also notes that `IntegrableAtFilter.congr` and
`integrableOn_of_integrableOn_inter_support` already exist in mathlib.
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