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[Merged by Bors] - chore: golf separable_iff_squarefree #10236

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@alreadydone alreadydone commented Feb 4, 2024

In fact this theorem admits a proof without using any lemmas introduced in #10170.

For this I had to remove some redundant [GCDMonoid R] assumptions in RingTheory/PrincipalIdealDomain.lean.


DecompositionMonoid will be a separate PR; independently I think most results about IsCoprime can be generalized to IsRelPrime (defined as ∀ p, p ∣ x → p ∣ y → IsUnit p), and maybe we should do that first ...

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@alreadydone alreadydone added awaiting-review The author would like community review of the PR easy < 20s of review time. See the lifecycle page for guidelines. t-algebra Algebra (groups, rings, fields etc) labels Feb 4, 2024
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Excellent, thanks!

It's especially good to have that stray [GCDMonoid R] now confined.

bors d+

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mathlib-bors bot commented Feb 4, 2024

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

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Feb 4, 2024
@alreadydone alreadydone added the auto-merge-after-CI Please do not add manually. Requests for a bot to merge automatically once CI is done. label Feb 5, 2024
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As this PR is labelled auto-merge-after-CI, we are now sending it to bors:

bors merge

mathlib-bors bot pushed a commit that referenced this pull request Feb 5, 2024
In fact this theorem admits a proof without using any lemmas introduced in #10170.

For this I had to remove some redundant [GCDMonoid R] assumptions in RingTheory/PrincipalIdealDomain.lean.



Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
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mathlib-bors bot commented Feb 5, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title chore: golf separable_iff_squarefree [Merged by Bors] - chore: golf separable_iff_squarefree Feb 5, 2024
@mathlib-bors mathlib-bors bot closed this Feb 5, 2024
@mathlib-bors mathlib-bors bot deleted the golf_separable_iff_squarefree branch February 5, 2024 04:46
Vierkantor pushed a commit that referenced this pull request Feb 5, 2024
In fact this theorem admits a proof without using any lemmas introduced in #10170.

For this I had to remove some redundant [GCDMonoid R] assumptions in RingTheory/PrincipalIdealDomain.lean.



Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
atarnoam pushed a commit that referenced this pull request Feb 9, 2024
In fact this theorem admits a proof without using any lemmas introduced in #10170.

For this I had to remove some redundant [GCDMonoid R] assumptions in RingTheory/PrincipalIdealDomain.lean.



Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
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