[Merged by Bors] - feat: a polynomial over a perfect field is separable iff it is square-free #10170
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…-free (#10170) Yet another small step toward Jordan-Chevalley-Dunford. This was far more work than expected, partly because of missing API for `Squarefree`, and partly because the definition `IsCoprime` is the wrong concept for unique factorization domains.
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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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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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…-free (#10170) Yet another small step toward Jordan-Chevalley-Dunford. This was far more work than expected, partly because of missing API for `Squarefree`, and partly because the definition `IsCoprime` is the wrong concept for unique factorization domains.
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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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Yet another small step toward Jordan-Chevalley-Dunford.
This was far more work than expected, partly because of missing API for
Squarefree, and partly because the definitionIsCoprimeis the wrong concept for unique factorization domains.