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[Merged by Bors] - feat: the Motzkin polynomial is nonnegative#23170

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motzkin_polynomial_nonneg
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[Merged by Bors] - feat: the Motzkin polynomial is nonnegative#23170
Parcly-Taxel wants to merge 1 commit intomasterfrom
motzkin_polynomial_nonneg

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From Zulip.

@Parcly-Taxel Parcly-Taxel added the t-analysis Analysis (normed *, calculus) label Mar 21, 2025
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PR summary 7ae3b115c3

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ motzkin_polynomial_nonneg

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

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

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


No changes to technical debt.

You can run this locally as

./scripts/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).

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kim-em commented Mar 21, 2025

bors d+

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mathlib-bors bot commented Mar 21, 2025

✌️ Parcly-Taxel can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@ghost ghost added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Mar 21, 2025
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bors merge

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mathlib-bors bot commented Mar 21, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: the Motzkin polynomial is nonnegative [Merged by Bors] - feat: the Motzkin polynomial is nonnegative Mar 21, 2025
@mathlib-bors mathlib-bors bot closed this Mar 21, 2025
@mathlib-bors mathlib-bors bot deleted the motzkin_polynomial_nonneg branch March 21, 2025 07:03
mathlib-bors bot pushed a commit that referenced this pull request Aug 16, 2025
In #23170 @Parcly-Taxel proved that the Motzkin polynomial over the reals is nonnegative. This PR switches the proof to a more elementary one that works over all linearly ordered commutative rings.

Also move out of `Analysis/MeanInequalities` (since it no longer uses that tool).
Paul-Lez pushed a commit to Paul-Lez/mathlib4 that referenced this pull request Aug 23, 2025
…#28482)

In leanprover-community#23170 @Parcly-Taxel proved that the Motzkin polynomial over the reals is nonnegative. This PR switches the proof to a more elementary one that works over all linearly ordered commutative rings.

Also move out of `Analysis/MeanInequalities` (since it no longer uses that tool).
pechersky pushed a commit to pechersky/mathlib4 that referenced this pull request Aug 25, 2025
…#28482)

In leanprover-community#23170 @Parcly-Taxel proved that the Motzkin polynomial over the reals is nonnegative. This PR switches the proof to a more elementary one that works over all linearly ordered commutative rings.

Also move out of `Analysis/MeanInequalities` (since it no longer uses that tool).
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