[Merged by Bors] - feat(RingTheory): polynomial is integral <-> coeffs are integral

[erdOne]

---

[github-actions]

PR summary 98d019b66b

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.RingTheory.Polynomial.IsIntegral	1398	1370	-28 (-2.00%)

Import changes for all files

Files	Import difference
Mathlib.RingTheory.Polynomial.IsIntegral	-28

---

Declarations diff

+ IsIntegral.coeff
+ IsIntegral.of_aeval_monic_of_isIntegral_coeff
+ IsRoot.dvd_coeff_zero
+ MvPolynomial.isIntegral_iff_isIntegral_coeff.{w}
+ Polynomial.Monic.exists_splits_map.{u}
+ Polynomial.isIntegral_iff_isIntegral_coeff
+ RingHom.IsIntegralElem.map
+ RingHom.IsIntegralElem.map_iff
+ RingHom.IsIntegralElem.of_comp
+ RingHom.IsIntegralElem.of_map
+ killCompl_map
+ optionEquivLeft_symm_C_C
+ optionEquivLeft_symm_X

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).

[Ruben-VandeVelde]

maintainer merge

[github-actions]

🚀 Pull request has been placed on the maintainer queue by Ruben-VandeVelde.

[riccardobrasca]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded!

And happy new year! 🎉

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