refactor: directed systems in terms of functors

[AntoineChambert-Loir]

This PR continues the work from #23285.

Original PR: #23285

[AntoineChambert-Loir]

Comments from Original PR #23285

This section contains 2 comment(s) from the original PR, excluding bot comments.

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@joneugster (2026-09-19 13:33 UTC):
Mathlib has moved to PRs from forks. This PR is still from a branch of the main repository and will soon be closed! Please migrate the content to a fork and reopen a PR from there if you wish to do so. See Zulip topic for more instructions. Thank you for contributing to mathlib!

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@mathlib-bors (2026-09-19 16:45 UTC):
This pull request is now in draft mode. No active bors state needed cleanup.

While this PR remains draft, bors will ignore commands on this PR. Mark it ready for review before using commands like bors r+ or bors try.

[github-actions]

PR summary e8ef8b3c22

Import changes exceeding 2%

%	File
+10.06%	Mathlib.Order.DirectedInverseSystem

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Order.DirectedInverseSystem	537	591	+54 (+10.06%)

Import changes for all files

Files	Import difference
399 files Mathlib.Algebra.Category.AlgCat.Limits Mathlib.Algebra.Category.AlgCat.TensorAlgebra Mathlib.Algebra.Category.FGModuleCat.Abelian Mathlib.Algebra.Category.FGModuleCat.Limits Mathlib.Algebra.Category.Grp.AB Mathlib.Algebra.Category.Grp.Abelian Mathlib.Algebra.Category.Grp.Images Mathlib.Algebra.Category.Grp.IsFinite Mathlib.Algebra.Category.ModuleCat.AB Mathlib.Algebra.Category.ModuleCat.Abelian Mathlib.Algebra.Category.ModuleCat.Biproducts Mathlib.Algebra.Category.ModuleCat.ChangeOfRingsExact Mathlib.Algebra.Category.ModuleCat.ChangeOfRings Mathlib.Algebra.Category.ModuleCat.Descent Mathlib.Algebra.Category.ModuleCat.Differentials.Basic Mathlib.Algebra.Category.ModuleCat.Differentials.Presheaf Mathlib.Algebra.Category.ModuleCat.EnoughInjectives Mathlib.Algebra.Category.ModuleCat.Ext.Baer Mathlib.Algebra.Category.ModuleCat.Ext.Basic Mathlib.Algebra.Category.ModuleCat.Ext.DimensionShifting Mathlib.Algebra.Category.ModuleCat.Ext.Finite Mathlib.Algebra.Category.ModuleCat.Ext.HasExt Mathlib.Algebra.Category.ModuleCat.Free Mathlib.Algebra.Category.ModuleCat.Images Mathlib.Algebra.Category.ModuleCat.InjectiveDimension Mathlib.Algebra.Category.ModuleCat.Limits Mathlib.Algebra.Category.ModuleCat.Localization Mathlib.Algebra.Category.ModuleCat.Monoidal.Adjunction Mathlib.Algebra.Category.ModuleCat.Presheaf.Abelian Mathlib.Algebra.Category.ModuleCat.Presheaf.ChangeOfRings Mathlib.Algebra.Category.ModuleCat.Presheaf.ColimitFunctor Mathlib.Algebra.Category.ModuleCat.Presheaf.Colimits Mathlib.Algebra.Category.ModuleCat.Presheaf.EpiMono Mathlib.Algebra.Category.ModuleCat.Presheaf.Free Mathlib.Algebra.Category.ModuleCat.Presheaf.Generator Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits Mathlib.Algebra.Category.ModuleCat.Presheaf.Monoidal Mathlib.Algebra.Category.ModuleCat.Presheaf.OfCommRing Mathlib.Algebra.Category.ModuleCat.Presheaf.Pullback Mathlib.Algebra.Category.ModuleCat.Presheaf.PushforwardZeroMonoidal Mathlib.Algebra.Category.ModuleCat.Presheaf.Pushforward Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafification Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafify Mathlib.Algebra.Category.ModuleCat.Presheaf.Submodule Mathlib.Algebra.Category.ModuleCat.Presheaf Mathlib.Algebra.Category.ModuleCat.ProjectiveDimension Mathlib.Algebra.Category.ModuleCat.Pseudofunctor Mathlib.Algebra.Category.ModuleCat.Sheaf.Abelian Mathlib.Algebra.Category.ModuleCat.Sheaf.ChangeOfRings Mathlib.Algebra.Category.ModuleCat.Sheaf.Colimits Mathlib.Algebra.Category.ModuleCat.Sheaf.Free Mathlib.Algebra.Category.ModuleCat.Sheaf.Generators Mathlib.Algebra.Category.ModuleCat.Sheaf.Limits Mathlib.Algebra.Category.ModuleCat.Sheaf.Localization Mathlib.Algebra.Category.ModuleCat.Sheaf.LocallyFree Mathlib.Algebra.Category.ModuleCat.Sheaf.PullbackContinuous Mathlib.Algebra.Category.ModuleCat.Sheaf.PullbackFree Mathlib.Algebra.Category.ModuleCat.Sheaf.PushforwardContinuous Mathlib.Algebra.Category.ModuleCat.Sheaf.Quasicoherent Mathlib.Algebra.Category.ModuleCat.Sheaf.Submodule Mathlib.Algebra.Category.ModuleCat.Sheaf Mathlib.Algebra.Category.ModuleCat.Stalk Mathlib.Algebra.Category.ModuleCat.Topology.Basic Mathlib.Algebra.Category.ModuleCat.Topology.Homology Mathlib.Algebra.Category.ModuleCat.Ulift Mathlib.Algebra.Category.Ring.EqualizerPushout Mathlib.Algebra.Category.Ring.LinearAlgebra Mathlib.Algebra.Category.Ring.Under.Limits Mathlib.Algebra.Category.Ring.Under.Property Mathlib.Algebra.Homology.ConcreteCategory Mathlib.Algebra.Homology.DerivedCategory.DerivabilityStructureInjectives Mathlib.Algebra.Homology.DerivedCategory.Ext.EnoughInjectives Mathlib.Algebra.Homology.DerivedCategory.Ext.EnoughProjectives Mathlib.Algebra.Homology.DerivedCategory.Ext.ExactSequences Mathlib.Algebra.Homology.DerivedCategory.Ext.MapBijective Mathlib.Algebra.Homology.DerivedCategory.KInjective Mathlib.Algebra.Homology.DerivedCategory.KProjective Mathlib.Algebra.Homology.DerivedCategory.Plus Mathlib.Algebra.Homology.DerivedCategory.RightDerivedFunctorPlus Mathlib.Algebra.Homology.DerivedCategory.SmallShiftedHom Mathlib.Algebra.Homology.HomotopyCategory.HomComplexCohomology Mathlib.Algebra.Homology.HomotopyCategory.HomComplexSingle Mathlib.Algebra.Homology.LocalCohomology Mathlib.Algebra.Homology.ShortComplex.Ab Mathlib.Algebra.Homology.ShortComplex.ConcreteCategory Mathlib.Algebra.Homology.ShortComplex.ModuleCat Mathlib.Algebra.Lie.Basis.Base Mathlib.Algebra.Lie.Basis Mathlib.Algebra.Lie.Weights.IsSimple Mathlib.Algebra.Lie.Weights.RootSystem Mathlib.Algebra.Module.PID Mathlib.Algebra.Module.SpanRankOperations Mathlib.Algebra.Module.StablyFree.FreeOfInvertible Mathlib.Algebra.Module.Torsion.PrimaryComponent Mathlib.AlgebraicGeometry.AffineScheme Mathlib.AlgebraicGeometry.AffineSpace Mathlib.AlgebraicGeometry.AffineTransitionLimit Mathlib.AlgebraicGeometry.AlgClosed.Basic Mathlib.AlgebraicGeometry.AlgebraicCycle.Basic Mathlib.AlgebraicGeometry.Artinian Mathlib.AlgebraicGeometry.Birational.Birational Mathlib.AlgebraicGeometry.Birational.Composition Mathlib.AlgebraicGeometry.Birational.Dominant Mathlib.AlgebraicGeometry.Birational.RationalMap Mathlib.AlgebraicGeometry.ColimitsOver Mathlib.AlgebraicGeometry.Cover.Directed Mathlib.AlgebraicGeometry.Cover.MorphismProperty Mathlib.AlgebraicGeometry.Cover.Open Mathlib.AlgebraicGeometry.Cover.Over Mathlib.AlgebraicGeometry.Cover.QuasiCompact Mathlib.AlgebraicGeometry.Cover.Sigma Mathlib.AlgebraicGeometry.EffectiveEpi Mathlib.AlgebraicGeometry.EllipticCurve.LFunction Mathlib.AlgebraicGeometry.Fiber Mathlib.AlgebraicGeometry.FunctionField Mathlib.AlgebraicGeometry.GammaSpecAdjunction Mathlib.AlgebraicGeometry.Geometrically.Basic Mathlib.AlgebraicGeometry.Geometrically.Connected Mathlib.AlgebraicGeometry.Geometrically.Integral Mathlib.AlgebraicGeometry.Geometrically.Irreducible Mathlib.AlgebraicGeometry.Geometrically.Reduced Mathlib.AlgebraicGeometry.GluingOneHypercover Mathlib.AlgebraicGeometry.Gluing Mathlib.AlgebraicGeometry.Group.Abelian Mathlib.AlgebraicGeometry.Group.Affine Mathlib.AlgebraicGeometry.Group.Smooth Mathlib.AlgebraicGeometry.IdealSheaf.Basic Mathlib.AlgebraicGeometry.IdealSheaf.Functorial Mathlib.AlgebraicGeometry.IdealSheaf.IrreducibleComponent Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme Mathlib.AlgebraicGeometry.LimitsOver Mathlib.AlgebraicGeometry.Limits Mathlib.AlgebraicGeometry.Modules.Presheaf Mathlib.AlgebraicGeometry.Modules.Sheaf Mathlib.AlgebraicGeometry.Modules.Tilde Mathlib.AlgebraicGeometry.Morphisms.AffineAnd Mathlib.AlgebraicGeometry.Morphisms.Affine Mathlib.AlgebraicGeometry.Morphisms.Basic Mathlib.AlgebraicGeometry.Morphisms.ClosedImmersion Mathlib.AlgebraicGeometry.Morphisms.Constructors Mathlib.AlgebraicGeometry.Morphisms.Descent Mathlib.AlgebraicGeometry.Morphisms.Etale Mathlib.AlgebraicGeometry.Morphisms.FinitePresentation Mathlib.AlgebraicGeometry.Morphisms.FiniteType Mathlib.AlgebraicGeometry.Morphisms.Finite Mathlib.AlgebraicGeometry.Morphisms.FlatDescent Mathlib.AlgebraicGeometry.Morphisms.FlatMono Mathlib.AlgebraicGeometry.Morphisms.FlatRank Mathlib.AlgebraicGeometry.Morphisms.Flat Mathlib.AlgebraicGeometry.Morphisms.FormallyUnramified Mathlib.AlgebraicGeometry.Morphisms.Immersion Mathlib.AlgebraicGeometry.Morphisms.Integral Mathlib.AlgebraicGeometry.Morphisms.IsIso Mathlib.AlgebraicGeometry.Morphisms.LocalClosure Mathlib.AlgebraicGeometry.Morphisms.LocalFlatDescent Mathlib.AlgebraicGeometry.Morphisms.LocalIso Mathlib.AlgebraicGeometry.Morphisms.OpenImmersion Mathlib.AlgebraicGeometry.Morphisms.Preimmersion Mathlib.AlgebraicGeometry.Morphisms.Proper Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact Mathlib.AlgebraicGeometry.Morphisms.QuasiFinite Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties Mathlib.AlgebraicGeometry.Morphisms.SchemeTheoreticallyDominant Mathlib.AlgebraicGeometry.Morphisms.Separated Mathlib.AlgebraicGeometry.Morphisms.SmoothFiber Mathlib.AlgebraicGeometry.Morphisms.Smooth Mathlib.AlgebraicGeometry.Morphisms.SurjectiveOnStalks Mathlib.AlgebraicGeometry.Morphisms.UnderlyingMap Mathlib.AlgebraicGeometry.Morphisms.UniversallyClosed Mathlib.AlgebraicGeometry.Morphisms.UniversallyInjective Mathlib.AlgebraicGeometry.Morphisms.UniversallyOpen Mathlib.AlgebraicGeometry.Morphisms.WeaklyEtale Mathlib.AlgebraicGeometry.Noetherian Mathlib.AlgebraicGeometry.Normalization Mathlib.AlgebraicGeometry.OpenImmersion Mathlib.AlgebraicGeometry.OrderOfVanishing Mathlib.AlgebraicGeometry.Over Mathlib.AlgebraicGeometry.PointsPi Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Functor Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Proper Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme Mathlib.AlgebraicGeometry.Properties Mathlib.AlgebraicGeometry.PullbackCarrier Mathlib.AlgebraicGeometry.Pullbacks Mathlib.AlgebraicGeometry.QuasiAffine Mathlib.AlgebraicGeometry.RelativeGluing Mathlib.AlgebraicGeometry.ResidueField Mathlib.AlgebraicGeometry.Restrict Mathlib.AlgebraicGeometry.Scheme Mathlib.AlgebraicGeometry.Sites.AffineEtale Mathlib.AlgebraicGeometry.Sites.Affine Mathlib.AlgebraicGeometry.Sites.BigZariski Mathlib.AlgebraicGeometry.Sites.ConstantSheaf Mathlib.AlgebraicGeometry.Sites.ElladicCohomology Mathlib.AlgebraicGeometry.Sites.EtalePoint Mathlib.AlgebraicGeometry.Sites.Etale Mathlib.AlgebraicGeometry.Sites.Fpqc Mathlib.AlgebraicGeometry.Sites.MorphismProperty Mathlib.AlgebraicGeometry.Sites.Pretopology Mathlib.AlgebraicGeometry.Sites.Proetale Mathlib.AlgebraicGeometry.Sites.QuasiCompact Mathlib.AlgebraicGeometry.Sites.Representability Mathlib.AlgebraicGeometry.Sites.SheafQuasiCompact Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski Mathlib.AlgebraicGeometry.Sites.Small Mathlib.AlgebraicGeometry.Spec Mathlib.AlgebraicGeometry.SpreadingOut Mathlib.AlgebraicGeometry.Stalk Mathlib.AlgebraicGeometry.StructureSheaf Mathlib.AlgebraicGeometry.ValuativeCriterion Mathlib.AlgebraicGeometry.ZariskisMainTheorem Mathlib.Analysis.Fourier.FiniteAbelian.PontryaginDuality Mathlib.CategoryTheory.Abelian.Ext Mathlib.CategoryTheory.Abelian.FreydMitchell Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.PresheafOfModules Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.SheafOfModules Mathlib.CategoryTheory.Abelian.GrothendieckCategory.HasExt Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.GabrielPopescu Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.Opposite Mathlib.CategoryTheory.Abelian.Injective.Basic Mathlib.CategoryTheory.Abelian.Injective.Dimension Mathlib.CategoryTheory.Abelian.Injective.Ext Mathlib.CategoryTheory.Abelian.Projective.Basic Mathlib.CategoryTheory.Abelian.Projective.Dimension Mathlib.CategoryTheory.Abelian.Projective.Ext Mathlib.CategoryTheory.Abelian.Yoneda Mathlib.CategoryTheory.Preadditive.Yoneda.Limits Mathlib.CategoryTheory.Sites.MayerVietorisSquare Mathlib.CategoryTheory.Sites.SheafCohomology.Basic Mathlib.CategoryTheory.Sites.SheafCohomology.ExactSequences Mathlib.CategoryTheory.Sites.SheafCohomology.MayerVietoris Mathlib.CategoryTheory.Triangulated.Yoneda Mathlib.Condensed.AB Mathlib.Condensed.Discrete.Characterization Mathlib.Condensed.Discrete.Module Mathlib.Condensed.EffectiveEpi Mathlib.Condensed.Epi Mathlib.Condensed.Explicit Mathlib.Condensed.Functors Mathlib.Condensed.Light.AB Mathlib.Condensed.Light.EffectiveEpi Mathlib.Condensed.Light.Epi Mathlib.Condensed.Light.Explicit Mathlib.Condensed.Light.InternallyProjective Mathlib.Condensed.Light.Limits Mathlib.Condensed.Light.Module Mathlib.Condensed.Light.Monoidal Mathlib.Condensed.Light.Sequence Mathlib.Condensed.Light.Small Mathlib.Condensed.Limits Mathlib.Condensed.Module Mathlib.Condensed.Solid Mathlib.FieldTheory.Galois.NormalBasis Mathlib.GroupTheory.FiniteAbelian.Basic Mathlib.GroupTheory.FiniteAbelian.Duality Mathlib.LinearAlgebra.FreeModule.ModN Mathlib.LinearAlgebra.Matrix.Cartan.Realisation Mathlib.LinearAlgebra.RootSystem.BaseChange Mathlib.LinearAlgebra.RootSystem.BaseExists Mathlib.LinearAlgebra.RootSystem.Base Mathlib.LinearAlgebra.RootSystem.Basic Mathlib.LinearAlgebra.RootSystem.CartanMatrix Mathlib.LinearAlgebra.RootSystem.Chain Mathlib.LinearAlgebra.RootSystem.Finite.CanonicalBilinear Mathlib.LinearAlgebra.RootSystem.Finite.G2 Mathlib.LinearAlgebra.RootSystem.Finite.Lemmas Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Basic Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Basis Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Lemmas Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Relations Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Semisimple Mathlib.LinearAlgebra.RootSystem.Hom Mathlib.LinearAlgebra.RootSystem.Irreducible Mathlib.LinearAlgebra.RootSystem.IsValuedIn Mathlib.LinearAlgebra.RootSystem.Reduced Mathlib.LinearAlgebra.RootSystem.RootPairingCat Mathlib.LinearAlgebra.RootSystem.RootPositive Mathlib.LinearAlgebra.RootSystem.WeylGroup Mathlib.NumberTheory.DirichletCharacter.Orthogonality Mathlib.NumberTheory.FLT.Three Mathlib.NumberTheory.Height.NumberField Mathlib.NumberTheory.LSeries.PrimesInAP Mathlib.NumberTheory.MulChar.Duality Mathlib.NumberTheory.NumberField.AdeleRing Mathlib.NumberTheory.NumberField.ClassNumber Mathlib.NumberTheory.NumberField.Completion.FinitePlace Mathlib.NumberTheory.NumberField.Cyclotomic.Basic Mathlib.NumberTheory.NumberField.Cyclotomic.Galois Mathlib.NumberTheory.NumberField.Cyclotomic.Ideal Mathlib.NumberTheory.NumberField.Cyclotomic.PID Mathlib.NumberTheory.NumberField.Cyclotomic.Three Mathlib.NumberTheory.NumberField.DedekindZeta Mathlib.NumberTheory.NumberField.Discriminant.Different Mathlib.NumberTheory.NumberField.ExistsRamified Mathlib.NumberTheory.NumberField.FiniteAdeleRing Mathlib.NumberTheory.NumberField.Ideal.Asymptotics Mathlib.NumberTheory.NumberField.Ideal.Basic Mathlib.NumberTheory.NumberField.Ideal.KummerDedekind Mathlib.NumberTheory.NumberField.ProductFormula Mathlib.NumberTheory.RamificationInertia.Galois Mathlib.NumberTheory.RamificationInertia.HilbertTheory Mathlib.NumberTheory.RamificationInertia.Unramified Mathlib.RepresentationTheory.Character Mathlib.RepresentationTheory.Coinduced Mathlib.RepresentationTheory.Coinvariants Mathlib.RepresentationTheory.Continuous.TopRep Mathlib.RepresentationTheory.FDRep Mathlib.RepresentationTheory.FinGroupCharZero Mathlib.RepresentationTheory.FiniteIndex Mathlib.RepresentationTheory.Homological.ContCohomology.Basic Mathlib.RepresentationTheory.Homological.ContCohomology.Functoriality Mathlib.RepresentationTheory.Homological.ContCohomology.LowDegree Mathlib.RepresentationTheory.Homological.ContCohomology.Sha Mathlib.RepresentationTheory.Induced Mathlib.RepresentationTheory.Invariants Mathlib.RepresentationTheory.Rep.Basic Mathlib.RepresentationTheory.Rep.Iso Mathlib.RepresentationTheory.Rep.Res Mathlib.RepresentationTheory.Tannaka Mathlib.RingTheory.AdicCompletion.AsTensorProduct Mathlib.RingTheory.AdicCompletion.LocalRing Mathlib.RingTheory.DedekindDomain.Different Mathlib.RingTheory.DedekindDomain.Factorization Mathlib.RingTheory.DedekindDomain.FiniteAdeleRing Mathlib.RingTheory.DedekindDomain.LinearDisjoint Mathlib.RingTheory.Depth.Rees Mathlib.RingTheory.Etale.Descent Mathlib.RingTheory.Etale.Field Mathlib.RingTheory.Etale.Finite Mathlib.RingTheory.Etale.Locus Mathlib.RingTheory.Etale.QuasiFinite Mathlib.RingTheory.Etale.Weakly Mathlib.RingTheory.Finiteness.Descent Mathlib.RingTheory.Flat.CategoryTheory Mathlib.RingTheory.Flat.EquationalCriterion Mathlib.RingTheory.Flat.FaithfullyFlat.Descent Mathlib.RingTheory.Flat.LocallyFree Mathlib.RingTheory.Flat.Rank Mathlib.RingTheory.Flat.Tensor Mathlib.RingTheory.Flat.TorsionFree Mathlib.RingTheory.Frobenius Mathlib.RingTheory.Grassmannian Mathlib.RingTheory.Ideal.Norm.RelNorm Mathlib.RingTheory.Ideal.Pure Mathlib.RingTheory.KrullDimension.Regular Mathlib.RingTheory.LocalProperties.InjectiveDimension Mathlib.RingTheory.LocalProperties.Injective Mathlib.RingTheory.LocalProperties.ProjectiveDimension Mathlib.RingTheory.LocalRing.Etale Mathlib.RingTheory.LocalRing.Module Mathlib.RingTheory.Localization.AtPrime.Extension Mathlib.RingTheory.Morita.Basic Mathlib.RingTheory.Morita.Matrix Mathlib.RingTheory.PicardGroup Mathlib.RingTheory.QuasiFinite.Polynomial Mathlib.RingTheory.RamificationInertia.Basic Mathlib.RingTheory.RamificationInertia.Ramification Mathlib.RingTheory.Regular.Category Mathlib.RingTheory.Regular.LinearMap Mathlib.RingTheory.Regular.ProjectiveDimension Mathlib.RingTheory.RegularLocalRing.Defs Mathlib.RingTheory.RegularLocalRing.Polynomial Mathlib.RingTheory.RingHom.Etale Mathlib.RingTheory.RingHom.FaithfullyFlat Mathlib.RingTheory.RingHom.Flat Mathlib.RingTheory.RingHom.LocallyStandardSmooth Mathlib.RingTheory.RingHom.QuasiFinite Mathlib.RingTheory.RingHom.Smooth Mathlib.RingTheory.RingHom.StandardSmooth Mathlib.RingTheory.RingHom.Unramified Mathlib.RingTheory.Smooth.Fiber Mathlib.RingTheory.Smooth.Field Mathlib.RingTheory.Smooth.Flat Mathlib.RingTheory.Smooth.IntegralClosure Mathlib.RingTheory.Smooth.Local Mathlib.RingTheory.Smooth.Locus Mathlib.RingTheory.Smooth.NoetherianDescent Mathlib.RingTheory.Smooth.Quotient Mathlib.RingTheory.Smooth.StandardSmoothOfFree Mathlib.RingTheory.Spectrum.Prime.FreeLocus Mathlib.RingTheory.TensorProduct.IncludeLeftSubRight Mathlib.RingTheory.TotallySplit Mathlib.RingTheory.Unramified.Dedekind Mathlib.RingTheory.Unramified.Field Mathlib.RingTheory.Unramified.LocalRing Mathlib.RingTheory.Unramified.LocalStructure Mathlib.RingTheory.Unramified.Locus Mathlib.RingTheory.ZariskisMainTheorem Mathlib.Topology.Algebra.Ring.Compact Mathlib.Topology.Category.Profinite.Nobeling.Induction Mathlib.Topology.Category.Profinite.Nobeling.Successor Mathlib.Topology.Sheaves.Abelian Mathlib.Topology.Sheaves.AddCommGrpCat Mathlib.Topology.Sheaves.Flasque Mathlib.Topology.Sheaves.MayerVietoris Mathlib.Topology.Sheaves.Module	1
3 files Mathlib.ModelTheory.Fraisse Mathlib.ModelTheory.Order Mathlib.NumberTheory.RamificationInertia.Basic	50
101 files Mathlib.Algebra.Azumaya.Basic Mathlib.Algebra.Central.TensorProduct Mathlib.Algebra.Colimit.Finiteness Mathlib.Algebra.Colimit.Ring Mathlib.Algebra.Colimit.TensorProduct Mathlib.Algebra.Lie.Basis.Basic Mathlib.Algebra.Lie.Basis.Prod Mathlib.Algebra.Lie.CartanCriterion Mathlib.Algebra.Lie.CartanExists Mathlib.Algebra.Lie.CartanSubalgebra Mathlib.Algebra.Lie.Character Mathlib.Algebra.Lie.Derivation.Killing Mathlib.Algebra.Lie.EngelSubalgebra Mathlib.Algebra.Lie.Engel Mathlib.Algebra.Lie.InvariantForm Mathlib.Algebra.Lie.Killing Mathlib.Algebra.Lie.LieTheorem Mathlib.Algebra.Lie.Loop Mathlib.Algebra.Lie.Nilpotent Mathlib.Algebra.Lie.Rank Mathlib.Algebra.Lie.Semisimple.Basic Mathlib.Algebra.Lie.Semisimple.Defs Mathlib.Algebra.Lie.Semisimple.Lemmas Mathlib.Algebra.Lie.Sl2 Mathlib.Algebra.Lie.Solvable Mathlib.Algebra.Lie.TraceForm Mathlib.Algebra.Lie.Weights.Basic Mathlib.Algebra.Lie.Weights.Cartan Mathlib.Algebra.Lie.Weights.Chain Mathlib.Algebra.Lie.Weights.Killing Mathlib.Algebra.Lie.Weights.Linear Mathlib.Algebra.Module.FinitePresentation Mathlib.Algebra.Module.Presentation.Differentials Mathlib.Algebra.Module.Presentation.Finite Mathlib.Algebra.QuadraticAlgebra.IsQuadraticExtension Mathlib.FieldTheory.CardinalEmb Mathlib.FieldTheory.LinearDisjoint Mathlib.FieldTheory.PurelyInseparable.Tower Mathlib.LinearAlgebra.LinearDisjoint Mathlib.LinearAlgebra.Span.TensorProduct Mathlib.LinearAlgebra.TensorProduct.DirectLimit Mathlib.LinearAlgebra.Unimodular Mathlib.NumberTheory.NumberField.Completion.Ramification Mathlib.NumberTheory.RamificationInertia.Inertia Mathlib.RingTheory.Bialgebra.GroupLike Mathlib.RingTheory.Bialgebra.MonoidAlgebra Mathlib.RingTheory.Coalgebra.GroupLike Mathlib.RingTheory.Etale.Basic Mathlib.RingTheory.Etale.Kaehler Mathlib.RingTheory.Etale.Pi Mathlib.RingTheory.Etale.StandardEtale Mathlib.RingTheory.Extension.Cotangent.BaseChange Mathlib.RingTheory.Extension.Cotangent.Basic Mathlib.RingTheory.Extension.Cotangent.Basis Mathlib.RingTheory.Extension.Cotangent.Free Mathlib.RingTheory.Extension.Cotangent.LocalizationAway Mathlib.RingTheory.Extension.ExtendScalars Mathlib.RingTheory.Finiteness.ModuleFinitePresentation Mathlib.RingTheory.Flat.Basic Mathlib.RingTheory.Flat.Domain Mathlib.RingTheory.Flat.Equalizer Mathlib.RingTheory.Flat.FaithfullyFlat.Algebra Mathlib.RingTheory.Flat.FaithfullyFlat.Basic Mathlib.RingTheory.Flat.IsBaseChange Mathlib.RingTheory.Flat.Localization Mathlib.RingTheory.Flat.Stability Mathlib.RingTheory.HopfAlgebra.GroupLike Mathlib.RingTheory.HopfAlgebra.MonoidAlgebra Mathlib.RingTheory.Ideal.CotangentBaseChange Mathlib.RingTheory.Ideal.GoingDown Mathlib.RingTheory.Ideal.KrullsHeightTheorem Mathlib.RingTheory.Ideal.UFD Mathlib.RingTheory.IntegralClosure.GoingDown Mathlib.RingTheory.Kaehler.JacobiZariski Mathlib.RingTheory.KrullDimension.Polynomial Mathlib.RingTheory.LinearDisjoint Mathlib.RingTheory.LocalProperties.FinitePresentation Mathlib.RingTheory.LocalProperties.Projective Mathlib.RingTheory.LocalRing.Length Mathlib.RingTheory.Localization.Free Mathlib.RingTheory.Nilpotent.GeometricallyReduced Mathlib.RingTheory.Polynomial.UniversalFactorizationRing Mathlib.RingTheory.PolynomialLaw.Basic Mathlib.RingTheory.QuasiFinite.Basic Mathlib.RingTheory.QuasiFinite.Weakly Mathlib.RingTheory.RamificationInertia.Inertia Mathlib.RingTheory.Regular.Flat Mathlib.RingTheory.Regular.Free Mathlib.RingTheory.Regular.IsSMulRegular Mathlib.RingTheory.Regular.RegularSequence Mathlib.RingTheory.Smooth.AdicCompletion Mathlib.RingTheory.Smooth.Basic Mathlib.RingTheory.Smooth.Kaehler Mathlib.RingTheory.Smooth.Pi Mathlib.RingTheory.Smooth.StandardSmoothCotangent Mathlib.RingTheory.Spectrum.Prime.Chevalley Mathlib.RingTheory.Spectrum.Prime.Homeomorph Mathlib.RingTheory.Spectrum.Prime.LTSeries Mathlib.RingTheory.TensorProduct.DirectLimitFG Mathlib.RingTheory.TensorProduct.Nontrivial Mathlib.RingTheory.Unramified.Finite	51
3 files Mathlib.Algebra.Colimit.Module Mathlib.ModelTheory.DirectLimit Mathlib.ModelTheory.PartialEquiv	52
Mathlib.Algebra.Colimit.DirectLimit	53
Mathlib.Order.DirectedInverseSystem	54

---

Declarations diff (regex)

+ DirectedSystem'
+ cocone
+ cocone_mk_eq_mk_iff
+ colimit
+ induction
+ setoid

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

Declarations diff (Lean -- pending)

Computed after the build finishes.

---

No changes to strong technical debt.
No changes to weak technical debt.

Current commit e8ef8b3c22
Reference commit c4e799365a

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/scripts/reporting/technical-debt-metrics.py 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).