[Merged by Bors] - feat: Galois orbits in a normal extension are determined by minimal polynomials#8028
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[Merged by Bors] - feat: Galois orbits in a normal extension are determined by minimal polynomials#8028alreadydone wants to merge 6 commits intomasterfrom
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… iff they have the same minimal polynomial
eric-wieser
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Nov 1, 2023
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Nice golf, thanks! bors merge |
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Nov 2, 2023
…olynomials (#8028) Add [Normal.minpoly_eq_iff_mem_orbit](https://github.com/leanprover-community/mathlib4/pull/8028/files#diff-d131e3bbd4cfdca7517989f6f30e131ae00a40b34315ac02e6c342c183b6e449R443-R457): addresses https://github.com/leanprover-community/mathlib4/pull/6718/files#r1328899532 Also generalize AlgHom.normal_bijective to `Algebra.IsAlgebraic.bijective_of_isScalarTower'` and golf the proof using a set-theoretic lemma `Surjective.of_comp_left` (slow to build, awaiting CI). Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
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Add Normal.minpoly_eq_iff_mem_orbit: addresses https://github.com/leanprover-community/mathlib4/pull/6718/files#r1328899532
Also generalize AlgHom.normal_bijective to
Algebra.IsAlgebraic.bijective_of_isScalarTower'and golf the proof using a set-theoretic lemmaSurjective.of_comp_left(slow to build, awaiting CI).