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[Merged by Bors] - refactor(IntermediateField/Adjoin): Split off relation to Algebra.adjoin#20630

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[Merged by Bors] - refactor(IntermediateField/Adjoin): Split off relation to Algebra.adjoin#20630
tb65536 wants to merge 6 commits intomasterfrom
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@tb65536 tb65536 commented Jan 10, 2025

Part of IntermediateField/Adjoin/Basic is about the relation with Algebra.adjoin (e.g., assuming integrality). This PR splits off those results into their own file.


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@tb65536 tb65536 added the t-algebra Algebra (groups, rings, fields, etc) label Jan 10, 2025
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PR summary 633ea8fb8b

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.RingTheory.AlgebraicIndependent.Adjoin 1401 1353 -48 (-3.43%)
Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis 1407 1359 -48 (-3.41%)
Mathlib.FieldTheory.SplittingField.IsSplittingField 1369 1374 +5 (+0.37%)
Import changes for all files
Files Import difference
Mathlib.RingTheory.AlgebraicIndependent.TranscendenceBasis Mathlib.RingTheory.AlgebraicIndependent.Adjoin -48
148 files Mathlib.NumberTheory.NumberField.Discriminant.Defs Mathlib.RingTheory.FractionalIdeal.Norm Mathlib.LinearAlgebra.Matrix.Charpoly.Eigs Mathlib.Analysis.CStarAlgebra.GelfandDuality Mathlib.NumberTheory.Cyclotomic.Rat Mathlib.FieldTheory.IsPerfectClosure Mathlib.RepresentationTheory.GroupCohomology.Hilbert90 Mathlib.FieldTheory.Finite.Trace Mathlib.NumberTheory.NumberField.Discriminant.Basic Mathlib.NumberTheory.Cyclotomic.Discriminant Mathlib.NumberTheory.GaussSum Mathlib.Analysis.CStarAlgebra.Spectrum Mathlib.RingTheory.Localization.NormTrace Mathlib.FieldTheory.AbelRuffini Mathlib.NumberTheory.LSeries.DirichletContinuation Mathlib.NumberTheory.NumberField.FractionalIdeal Mathlib.FieldTheory.IsAlgClosed.AlgebraicClosure Mathlib.NumberTheory.NumberField.Norm Mathlib.ModelTheory.Algebra.Ring.Definability Mathlib.FieldTheory.Isaacs Mathlib.Analysis.Normed.Algebra.Spectrum Mathlib.RingTheory.Trace.Basic Mathlib.NumberTheory.LSeries.ZMod Mathlib.Analysis.CStarAlgebra.Module.Constructions Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Isometric Mathlib.FieldTheory.Normal Mathlib.NumberTheory.NumberField.EquivReindex Mathlib.Algebra.Lie.Derivation.Killing Mathlib.FieldTheory.SeparableClosure Mathlib.NumberTheory.Cyclotomic.PrimitiveRoots Mathlib.FieldTheory.IsAlgClosed.Classification Mathlib.Analysis.Fourier.ZMod Mathlib.RingTheory.Invariant Mathlib.NumberTheory.Cyclotomic.Three Mathlib.RingTheory.Unramified.Field Mathlib.FieldTheory.SeparableDegree Mathlib.FieldTheory.Minpoly.MinpolyDiv Mathlib.AlgebraicGeometry.EllipticCurve.IsomOfJ Mathlib.RingTheory.Nullstellensatz Mathlib.NumberTheory.NumberField.Completion Mathlib.FieldTheory.Galois.GaloisClosure Mathlib.FieldTheory.Fixed Mathlib.RingTheory.IntegralClosure.IntegralRestrict Mathlib.Algebra.Lie.TraceForm Mathlib.FieldTheory.IntermediateField.Adjoin.Basic Mathlib.FieldTheory.IsSepClosed Mathlib.Algebra.Lie.Killing Mathlib.RingTheory.RootsOfUnity.Lemmas Mathlib.Analysis.CStarAlgebra.SpecialFunctions.PosPart Mathlib.NumberTheory.Cyclotomic.Gal Mathlib.FieldTheory.Extension Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone Mathlib.NumberTheory.NumberField.ProductFormula Mathlib.RingTheory.Etale.Field Mathlib.FieldTheory.AbsoluteGaloisGroup Mathlib.Analysis.InnerProductSpace.JointEigenspace Mathlib.Algebra.Lie.Weights.Basic Mathlib.Algebra.Lie.Weights.RootSystem Mathlib.RepresentationTheory.Invariants Mathlib.FieldTheory.KrullTopology Mathlib.Algebra.Lie.LieTheorem Mathlib.CategoryTheory.Preadditive.Schur Mathlib.FieldTheory.Relrank Mathlib.RingTheory.Ideal.Norm.AbsNorm Mathlib.FieldTheory.Galois.Profinite Mathlib.FieldTheory.LinearDisjoint Mathlib.RingTheory.Ideal.Norm.RelNorm Mathlib.NumberTheory.Cyclotomic.Embeddings Mathlib.Analysis.CStarAlgebra.Module.Defs Mathlib.FieldTheory.Finite.GaloisField Mathlib.RepresentationTheory.Character Mathlib.RingTheory.DedekindDomain.IntegralClosure Mathlib.NumberTheory.FLT.Three Mathlib.FieldTheory.Galois.Basic Mathlib.NumberTheory.NumberField.CanonicalEmbedding.ConvexBody Mathlib.Algebra.Lie.Weights.Chain Mathlib.NumberTheory.NumberField.Units.Basic Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Integral Mathlib.NumberTheory.DirichletCharacter.GaussSum Mathlib.FieldTheory.PrimitiveElement Mathlib.NumberTheory.Fermat Mathlib.LinearAlgebra.Eigenspace.Triangularizable Mathlib.Analysis.CStarAlgebra.ApproximateUnit Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.ExpLog Mathlib.Tactic.NormNum.LegendreSymbol Mathlib.RingTheory.DedekindDomain.Different Mathlib.RingTheory.Discriminant Mathlib.NumberTheory.LSeries.Nonvanishing Mathlib.NumberTheory.ClassNumber.Finite Mathlib.Analysis.Complex.Polynomial.Basic Mathlib.NumberTheory.LegendreSymbol.QuadraticChar.GaussSum Mathlib.NumberTheory.LegendreSymbol.JacobiSymbol Mathlib.FieldTheory.IsAlgClosed.Basic Mathlib.FieldTheory.Minpoly.IsConjRoot Mathlib.NumberTheory.LegendreSymbol.AddCharacter Mathlib.FieldTheory.Cardinality Mathlib.NumberTheory.Cyclotomic.PID Mathlib.NumberTheory.JacobiSum.Basic Mathlib.NumberTheory.LegendreSymbol.QuadraticReciprocity Mathlib.FieldTheory.IsAlgClosed.Spectrum Mathlib.Analysis.InnerProductSpace.StarOrder Mathlib.FieldTheory.AlgebraicClosure Mathlib.NumberTheory.NumberField.Basic Mathlib.FieldTheory.CardinalEmb Mathlib.NumberTheory.NumberField.Units.DirichletTheorem Mathlib.NumberTheory.ClassNumber.FunctionField Mathlib.Analysis.Normed.Algebra.Basic Mathlib.RepresentationTheory.FDRep Mathlib.RingTheory.WittVector.Isocrystal Mathlib.NumberTheory.NumberField.Units.Regulator Mathlib.RingTheory.Trace.Quotient Mathlib.RingTheory.Polynomial.Selmer Mathlib.FieldTheory.NormalClosure Mathlib.NumberTheory.Cyclotomic.Basic Mathlib.RingTheory.AlgebraicIndependent.AlgebraicClosure Mathlib.Algebra.Lie.Weights.Killing Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances Mathlib.FieldTheory.KummerExtension Mathlib.RepresentationTheory.GroupCohomology.LowDegree Mathlib.Analysis.CStarAlgebra.Hom Mathlib.Analysis.Complex.Polynomial.UnitTrinomial Mathlib.ModelTheory.Algebra.Field.IsAlgClosed Mathlib.FieldTheory.JacobsonNoether Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order Mathlib.RingTheory.AlgebraicIndependent.RankAndCardinality Mathlib.FieldTheory.PurelyInseparable Mathlib.NumberTheory.NumberField.House Mathlib.NumberTheory.NumberField.Embeddings Mathlib.Algebra.Lie.Weights.Cartan Mathlib.RingTheory.Valuation.Minpoly Mathlib.Analysis.SpecialFunctions.Complex.CircleAddChar Mathlib.LinearAlgebra.Eigenspace.Pi Mathlib.FieldTheory.Galois.Infinite Mathlib.NumberTheory.LSeries.PrimesInAP Mathlib.RingTheory.WittVector.FrobeniusFractionField Mathlib.NumberTheory.NumberField.ClassNumber Mathlib.FieldTheory.PolynomialGaloisGroup Mathlib.FieldTheory.AxGrothendieck Mathlib.Tactic Mathlib.NumberTheory.NumberField.FinitePlaces Mathlib.Algebra.Lie.Weights.Linear Mathlib.RingTheory.Polynomial.Eisenstein.IsIntegral Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic Mathlib.RingTheory.RootsOfUnity.AlgebraicallyClosed Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Basic Mathlib.RingTheory.Norm.Basic Mathlib.NumberTheory.FunctionField Mathlib.NumberTheory.NumberField.AdeleRing
1
23 files Mathlib.RingTheory.IsAdjoinRoot Mathlib.RingTheory.WittVector.Domain Mathlib.RingTheory.WittVector.Compare Mathlib.RingTheory.WittVector.Identities Mathlib.LinearAlgebra.JordanChevalley Mathlib.LinearAlgebra.Semisimple Mathlib.RingTheory.LittleWedderburn Mathlib.RingTheory.Polynomial.Cyclotomic.Roots Mathlib.RingTheory.Polynomial.GaussLemma Mathlib.FieldTheory.Perfect Mathlib.NumberTheory.KummerDedekind Mathlib.RingTheory.WittVector.Frobenius Mathlib.RingTheory.Polynomial.Cyclotomic.Expand Mathlib.FieldTheory.Minpoly.IsIntegrallyClosed Mathlib.LinearAlgebra.Eigenspace.Semisimple Mathlib.RingTheory.Polynomial.Cyclotomic.Eval Mathlib.NumberTheory.PrimesCongruentOne Mathlib.Analysis.InnerProductSpace.Semisimple Mathlib.FieldTheory.PerfectClosure Mathlib.RingTheory.RootsOfUnity.Minpoly Mathlib.RingTheory.WittVector.DiscreteValuationRing Mathlib.FieldTheory.SplittingField.Construction Mathlib.RingTheory.Perfection
4
Mathlib.FieldTheory.SplittingField.IsSplittingField 5
Mathlib.FieldTheory.IntermediateField.Adjoin.Algebra (new file) 1351

Declarations diff

+ IntermediateField.adjoin_rootSet_isSplittingField
+ IntermediateField.isSplittingField_iff
+ isSplittingField_iff_intermediateField
- _root_.isSplittingField_iff_intermediateField
- adjoin_rootSet_isSplittingField
- isSplittingField_iff

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).

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LGTM

Note to reviewers who might also be confused: new file Mathlib.FieldTheory.IntermediateField.Adjoin.Algebra has lighter imports than Mathlib.FieldTheory.IntermediateField.Adjoin.Basic.

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🚀 Pull request has been placed on the maintainer queue by Ruben-VandeVelde.

@github-actions github-actions bot added the maintainer-merge A reviewer has approved the changed; awaiting maintainer approval. label Jan 10, 2025
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I had noted before that IntermediateField.Adjoin could stand some cleaning up, thank you for taking this on!

I think the extra imports in IsSplittingField are okay. I don't think it would help right now, but at some point we can consider taking out all the IntermediateField results from that file, and then this would not matter at all.

bors d+

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mathlib-bors bot commented Jan 10, 2025

✌️ tb65536 can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@ghost ghost added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Jan 10, 2025
Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
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tb65536 commented Jan 10, 2025

bors r+

mathlib-bors bot pushed a commit that referenced this pull request Jan 10, 2025
…join` (#20630)

Part of `IntermediateField/Adjoin/Basic` is about the relation with `Algebra.adjoin` (e.g., assuming integrality). This PR splits off those results into their own file.



Co-authored-by: Thomas Browning <tb65536@users.noreply.github.com>
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mathlib-bors bot commented Jan 10, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title refactor(IntermediateField/Adjoin): Split off relation to Algebra.adjoin [Merged by Bors] - refactor(IntermediateField/Adjoin): Split off relation to Algebra.adjoin Jan 10, 2025
@mathlib-bors mathlib-bors bot closed this Jan 10, 2025
@mathlib-bors mathlib-bors bot deleted the tb_splitting_field branch January 10, 2025 19:41
grunweg pushed a commit that referenced this pull request Jan 11, 2025
…join` (#20630)

Part of `IntermediateField/Adjoin/Basic` is about the relation with `Algebra.adjoin` (e.g., assuming integrality). This PR splits off those results into their own file.



Co-authored-by: Thomas Browning <tb65536@users.noreply.github.com>
Julian added a commit that referenced this pull request Jan 12, 2025
* origin/master: (88 commits)
  chore(scripts): update nolints.json (#20672)
  chore: de-simp `map_eq_zero_iff_eq_one` (#20662)
  feat(Combinatorics/SimpleGraph): add independent sets (#18608)
  chore(CategoryTheory/Limits/Cones): functoriality of `mapCone` (#20641)
  feat(Algebra/Category/ModuleCat): pullback of presheaves of modules (#17366)
  feat(AlgebraicTopology): model categories (#19158)
  chore(CategoryTheory): make NormalEpi/MonoCategory and RegularEpi/MonoCategory props (#19548)
  feat(Data/List/ReduceOption): add replicate theorems (#20644)
  feat: approximate subgroups (#20050)
  feat: use scoped trace nodes in linarith (#19855)
  feat: disjoint union of charted spaces (#20619)
  feat: add some term elaborators for reduction (#15192)
  feat(Topology/Category): category of delta-generated spaces (#19499)
  add a variable_alias for Quantale and AddQuantale (#19282)
  feat(Computability/DFA): implement `isRegular_iff` (#19940)
  chore: unpin and bump batteries and importgraph (#20651)
  chore: split `Mathlib/Algebra/Group/Int` (#20624)
  feat: three lemmas related to Hausdorff distance (#20585)
  chore: `initialize_simps_projections` for `Submodule` (#20582)
  feat(Order): Boolean algebra structure on idempotents (#20618)
  chore(CategoryTheory): moving/renaming Subpresheaf (#20583)
  refactor(IntermediateField/Adjoin): Split off relation to `Algebra.adjoin` (#20630)
  feat: sets of doubling strictly less than 3/2 (#20572)
  chore(TensorProduct): universe polymorphism in EquationalCriterion (#20452)
  feat: `s \ t ∩ u = (s ∩ u) \ t` (#20298)
  feat: product of subalgebras (#20202)
  feat: `Submodule.restrictScalars` commutes with `pow` (#20581)
  feat: `a ∈ s ^ n` iff there exists a sequence `f` of `n` elements of `s` such that `∏ i, f i = a` (#20580)
  chore: make `FooHom.coe_id` a `norm_cast` lemma (#20576)
  chore: use ofNat more (#20546)
  feat(CategoryTheory/Shift/Opposite and CategoryTheory/Shift/Pullback): `CommShift` structures on adjunctions are compatible with opposites and pullbacks (#20363)
  feat(FieldTheory/Differential/Liouville): prove the algebraic case of Liouville's theorem (#16797)
  refactor: remove the `CompactSpace` field from `Unique{NonUnital}ContinuousFunctionalCalculus` (#20590)
  feat: Make `PNat.recOn` induction eliminator (#20617)
  feat(Analysis/SpecialFunctions/Pow/Real): add some lemmas (#20608)
  feat: If `s ∆ t` is finite, then `s ∆ u` is finite iff `t ∆ u` is (#20574)
  feat: `⨅ i, f i ≤ ⨆ i, f i` (#20573)
  chore(Geometry/Manifold): move SmoothManifoldWithCorners.lean to IsManifold.lean (#20611)
  feat: AbsoluteValue.IsNontrivial (#20588)
  chore(Data/Finsupp): split off extensionality from `Defs.lean` (#19092)
  chore(Data/Set): split the `CoeSort` instance to its own file (#19031)
  feat(Algebra/Order/Archimedean/Basic): powers between two elements (#20612)
  feature(Algebra/Ring/Idempotents): product of an idempotent and its complement (#20286)
  chore: cleanup more `erw` (#20601)
  chore(GroupTheory/CoprodI): shorten proof of lift_word_prod_nontrivial_of_not_empty (#20587)
  chore: cleanup imports in PrimePow/Divisors (#20626)
  chore: split Algebra/BigOperators/Group/List (#20625)
  chore: reduce Topology->Order imports by moving content (#20627)
  chore(Algebra/Lie/DirectSum): shorten proof of lieAlgebraOf.map_lie' (#20592)
  refactor: Split `FieldTheory/Adjoin.lean` into `Defs.lean` and `Basic.lean` (#20333)
  ...
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