[Merged by Bors] - feat(RingTheory/Polynomial/Hilbert): Polynomial.exists_unique_hilbertPoly and Polynomial.hilbertPoly_mul_one_sub_pow_add

[FMLJohn]

---

• depends on: [Merged by Bors] - feat(RingTheory/Polynomial/HilbertPoly): the definition and key property of Polynomial.hilbertPoly p d for p : F[X] and d : ℕ, where F is a field. #19303

In this pull request, the main results we have added are:

1. Polynomial.exists_unique_hilbertPoly
2. Polynomial.hilbertPoly_mul_one_sub_pow_add

[github-actions]

PR summary a99bae1b50

Import changes exceeding 2%

%	File
+4.59%	Mathlib.RingTheory.Polynomial.HilbertPoly

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.RingTheory.Polynomial.HilbertPoly	1046	1094	+48 (+4.59%)

Import changes for all files

Files	Import difference
Mathlib.RingTheory.Polynomial.HilbertPoly	48

---

Declarations diff

+ exists_unique_hilbertPoly
+ hilbertPoly_mul_one_sub_pow_add
+ hilbertPoly_mul_one_sub_succ
+ invOneSubPow_add
+ one_sub_pow_add_mul_invOneSubPow_val_eq_one_sub_pow
+ one_sub_pow_mul_invOneSubPow_val_add_eq_invOneSubPow_val

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).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• [Merged by Bors] - feat(RingTheory/Polynomial/HilbertPoly): the definition and key property of Polynomial.hilbertPoly p d for p : F[X] and d : ℕ, where F is a field. #19303
  By Dependent Issues (🤖). Happy coding!

[jcommelin]

Thanks 🎉

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

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