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[Merged by Bors] - feat: add some regularity results for multivariable polynomials #6541

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@ocfnash ocfnash commented Aug 12, 2023

The goal (which is achieved) is to make things like this work:

example {s : Finset σ} {n : σ} {k : ℕ} {p : MvPolynomial σ R} :
    p * (∏ n in s, X n) * X n ^ k = 0 ↔ p = 0 := by
  simp

We may (or may not) wish to rename the file Algebra.Regular.Pow.

Intended to help with #6139

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The goal (which is achieved) is to make things like this work:
```lean
example {s : Finset σ} {n : σ} {k : ℕ} {p : MvPolynomial σ R} :
    p * (∏ n in s, X n) * X n ^ k = 0 ↔ p = 0 := by
  simp
```
@ocfnash ocfnash added awaiting-review The author would like community review of the PR awaiting-CI t-algebra Algebra (groups, rings, fields etc) labels Aug 12, 2023
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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 The author would like community review of the PR labels Aug 15, 2023
bors bot pushed a commit that referenced this pull request Aug 15, 2023
The goal (which is achieved) is to make things like this work:
```lean
example {s : Finset σ} {n : σ} {k : ℕ} {p : MvPolynomial σ R} :
    p * (∏ n in s, X n) * X n ^ k = 0 ↔ p = 0 := by
  simp
```
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bors bot commented Aug 15, 2023

Pull request successfully merged into master.

Build succeeded!

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@bors bors bot changed the title feat: add some regularity results for multivariable polynomials [Merged by Bors] - feat: add some regularity results for multivariable polynomials Aug 15, 2023
@bors bors bot closed this Aug 15, 2023
@bors bors bot deleted the ocfnash/my_poly_regular branch August 15, 2023 21:23
semorrison pushed a commit that referenced this pull request Aug 17, 2023
The goal (which is achieved) is to make things like this work:
```lean
example {s : Finset σ} {n : σ} {k : ℕ} {p : MvPolynomial σ R} :
    p * (∏ n in s, X n) * X n ^ k = 0 ↔ p = 0 := by
  simp
```
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5 participants