feat(CategoryTheory): abstract argument for the stability under transfinite compositions#24777
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feat(CategoryTheory): abstract argument for the stability under transfinite compositions#24777
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PR summary d9d3b4ca93Import changes exceeding 2%
|
| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition | 744 | 763 | +19 (+2.55%) |
| Mathlib.CategoryTheory.MorphismProperty.Limits | 656 | 658 | +2 (+0.30%) |
| Mathlib.CategoryTheory.Abelian.GrothendieckCategory.Monomorphisms | 1046 | 1045 | -1 (-0.10%) |
| Mathlib.CategoryTheory.Abelian.GrothendieckCategory.EnoughInjectives | 1163 | 1162 | -1 (-0.09%) |
Import changes for all files
| Files | Import difference |
|---|---|
6 filesMathlib.CategoryTheory.Abelian.FreydMitchell Mathlib.CategoryTheory.Abelian.GrothendieckCategory.Coseparator Mathlib.CategoryTheory.Abelian.GrothendieckCategory.EnoughInjectives Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.GabrielPopescu Mathlib.CategoryTheory.Abelian.GrothendieckCategory.ModuleEmbedding.Opposite Mathlib.CategoryTheory.Abelian.GrothendieckCategory.Monomorphisms |
-1 |
53 filesMathlib.AlgebraicGeometry.AffineScheme Mathlib.AlgebraicGeometry.AffineSpace Mathlib.AlgebraicGeometry.Cover.MorphismProperty Mathlib.AlgebraicGeometry.Cover.Open Mathlib.AlgebraicGeometry.Cover.Sigma Mathlib.AlgebraicGeometry.Fiber Mathlib.AlgebraicGeometry.FunctionField Mathlib.AlgebraicGeometry.GammaSpecAdjunction Mathlib.AlgebraicGeometry.GluingOneHypercover Mathlib.AlgebraicGeometry.Gluing Mathlib.AlgebraicGeometry.IdealSheaf.Basic Mathlib.AlgebraicGeometry.IdealSheaf.Functorial Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme Mathlib.AlgebraicGeometry.IdealSheaf Mathlib.AlgebraicGeometry.Limits Mathlib.AlgebraicGeometry.Morphisms.AffineAnd Mathlib.AlgebraicGeometry.Morphisms.Affine Mathlib.AlgebraicGeometry.Morphisms.Basic Mathlib.AlgebraicGeometry.Morphisms.ClosedImmersion Mathlib.AlgebraicGeometry.Morphisms.Constructors Mathlib.AlgebraicGeometry.Morphisms.FinitePresentation Mathlib.AlgebraicGeometry.Morphisms.FiniteType Mathlib.AlgebraicGeometry.Morphisms.Finite Mathlib.AlgebraicGeometry.Morphisms.Flat Mathlib.AlgebraicGeometry.Morphisms.Integral Mathlib.AlgebraicGeometry.Morphisms.IsIso Mathlib.AlgebraicGeometry.Morphisms.OpenImmersion Mathlib.AlgebraicGeometry.Morphisms.Preimmersion Mathlib.AlgebraicGeometry.Morphisms.QuasiCompact Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties 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.Noetherian Mathlib.AlgebraicGeometry.OpenImmersion Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Scheme Mathlib.AlgebraicGeometry.Properties Mathlib.AlgebraicGeometry.PullbackCarrier Mathlib.AlgebraicGeometry.Pullbacks Mathlib.AlgebraicGeometry.ResidueField Mathlib.AlgebraicGeometry.Restrict Mathlib.AlgebraicGeometry.Sites.BigZariski Mathlib.AlgebraicGeometry.Sites.MorphismProperty Mathlib.AlgebraicGeometry.Sites.Representability Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski Mathlib.AlgebraicGeometry.SpreadingOut Mathlib.AlgebraicGeometry.Stalk Mathlib.CategoryTheory.Limits.MorphismProperty |
1 |
24 filesMathlib.Algebra.Homology.Square Mathlib.AlgebraicTopology.Quasicategory.Basic Mathlib.AlgebraicTopology.Quasicategory.Nerve Mathlib.AlgebraicTopology.Quasicategory.StrictSegal Mathlib.AlgebraicTopology.RelativeCellComplex.AttachCells Mathlib.AlgebraicTopology.SimplicialSet.CategoryWithFibrations Mathlib.AlgebraicTopology.SimplicialSet.KanComplex Mathlib.CategoryTheory.Abelian.Monomorphisms Mathlib.CategoryTheory.Limits.Preserves.Shapes.Square Mathlib.CategoryTheory.Limits.Shapes.Pullback.Square Mathlib.CategoryTheory.Localization.FiniteProducts Mathlib.CategoryTheory.MorphismProperty.Descent Mathlib.CategoryTheory.MorphismProperty.LiftingProperty Mathlib.CategoryTheory.MorphismProperty.Limits Mathlib.CategoryTheory.MorphismProperty.OverAdjunction Mathlib.CategoryTheory.MorphismProperty.Representable Mathlib.CategoryTheory.MorphismProperty.RetractArgument Mathlib.CategoryTheory.MorphismProperty.WeakFactorizationSystem Mathlib.CategoryTheory.Preadditive.Injective.LiftingProperties Mathlib.CategoryTheory.Preadditive.Projective.LiftingProperties Mathlib.CategoryTheory.Sites.MayerVietorisSquare Mathlib.CategoryTheory.Sites.MorphismProperty Mathlib.CategoryTheory.SmallObject.Construction Mathlib.Topology.Sheaves.MayerVietoris |
2 |
Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition Mathlib.CategoryTheory.SmallObject.TransfiniteIteration |
19 |
Declarations diff
+ IsStableUnderFilteredColimits
+ IsStableUnderTransfiniteCompositionOfShape.of_isStableUnderColimitsOfShape
+ colimitsOfShape.of_isColimit
+ instance (j : J) : IsIso (h.incl.app j) := (h.ici j).isIso
+ instance : IsStableUnderFilteredColimits.{w, w'} (isomorphisms C)
+ instance [HasFilteredColimitsOfSize.{v', u'} C] [AB5OfSize.{v', u'} C] :
+ instance {C : Type u} [Category.{v} C] [Abelian C] [IsGrothendieckAbelian.{w} C] :
+ instance {i j : J} (f : i ⟶ j) : IsIso (h.F.map f) := ((h.iic j).ici (⟨i, leOfHom f⟩)).isIso
+ mem
+ mem_map_bot_le
++ instance [W.IsMultiplicative] [W.RespectsIso]
- instance (j : J) : IsIso (h.incl.app j)
- instance : (isomorphisms C).IsStableUnderTransfiniteComposition
- instance : IsStableUnderTransfiniteComposition.{w} (monomorphisms C)
- instance {j : J} (g : ⊥ ⟶ j) : IsIso (h.F.map g) := by
- instance {j j' : J} (f : j ⟶ j') : IsIso (h.F.map f)
- map_bot_le
- mono
- mono_map
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
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
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This PR/issue depends on: |
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This pull request has conflicts, please merge |
…sfinite-composition-argument
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callesonne
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May 29, 2025
Mathlib/CategoryTheory/MorphismProperty/TransfiniteComposition.lean
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…sfinite-composition-argument
Co-authored-by: Calle Sönne <calle.sonne@gmail.com>
callesonne
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May 31, 2025
Mathlib/CategoryTheory/MorphismProperty/TransfiniteComposition.lean
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….lean Co-authored-by: Calle Sönne <calle.sonne@gmail.com>
Co-authored-by: Calle Sönne <calle.sonne@gmail.com>
…sfinite-composition-argument
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@erdOne do you want to have a look and/or maintainer merge? :) |
joelriou
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Jun 1, 2025
Mathlib/CategoryTheory/Abelian/GrothendieckCategory/EnoughInjectives.lean
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…sfinite-composition-argument
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This PR has been migrated to a fork-based workflow: #26030 |
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If a class of morphisms is multiplicative, respects isomorphisms and is stable under filtered colimits, then it is stable under transfinite compositions.
(This simplifies the proof in the case of monomorphisms in Grothendieck abelian categories, for isomorphisms, and in #23282, we shall apply this to monomorphisms in
Type.)