feat(CategoryTheory): monomorphisms in Type are stable under transfinite compositions#23282
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feat(CategoryTheory): monomorphisms in Type are stable under transfinite compositions#23282
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PR summary ccee4e2b30Import changes exceeding 2%
|
| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition | 738 | 757 | +19 (+2.57%) |
| Mathlib.CategoryTheory.Abelian.GrothendieckCategory.Monomorphisms | 1038 | 1037 | -1 (-0.10%) |
| Mathlib.CategoryTheory.Abelian.GrothendieckCategory.EnoughInjectives | 1156 | 1155 | -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 |
Mathlib.CategoryTheory.Types |
1 |
Mathlib.CategoryTheory.MorphismProperty.TransfiniteComposition Mathlib.CategoryTheory.SmallObject.TransfiniteIteration |
19 |
Mathlib.CategoryTheory.Types.Basic (new file) |
325 |
Mathlib.CategoryTheory.Types.Monomorphisms (new file) |
758 |
Declarations diff
+ IsStableUnderFilteredColimits
+ IsStableUnderTransfiniteCompositionOfShape.of_isStableUnderColimitsOfShape
+ colimMap
+ colimitsOfShape.mk'
+ colimitsOfShape_le
+ instance (j : J) : IsIso (h.incl.app j) := (h.ici j).isIso
+ instance : (monomorphisms (Type u)).IsStableUnderCobaseChange
+ instance : IsStableUnderFilteredColimits.{w, w'} (isomorphisms C)
+ instance : MorphismProperty.IsStableUnderFilteredColimits.{v', u'} (monomorphisms (Type u))
+ 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
+ limMap
+ limitsOfShape.mk'
+ limitsOfShape_le
+ mem
+ mem_map_bot_le
+ mono_inr
+ pushoutCocone_inr_injective_of_isColimit
+ pushoutCocone_inr_mono_of_isColimit
++ 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)
- isStableUnderCoproductsOfShape_of_isStableUnderCoproducts
- 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).
erdOne
reviewed
Apr 27, 2025
erdOne
reviewed
Apr 27, 2025
Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>
Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>
callesonne
reviewed
May 9, 2025
callesonne
reviewed
May 10, 2025
Co-authored-by: Calle Sönne <calle.sonne@gmail.com>
Co-authored-by: Calle Sönne <calle.sonne@gmail.com>
Closed
1 task
…e-composition-argument' into jriou-types-mono
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This pull request has conflicts, please merge |
Contributor
Author
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See #28219 |
mathlib-bors bot
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Aug 15, 2025
…finite compositions (#26030) 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`.) Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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Aug 23, 2025
…finite compositions (leanprover-community#26030) 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 leanprover-community#23282, we shall apply this to monomorphisms in `Type`.) Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
pechersky
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Aug 25, 2025
…finite compositions (leanprover-community#26030) 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 leanprover-community#23282, we shall apply this to monomorphisms in `Type`.) Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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monomorphisms (Type u)is stable under cobase change, filtered colimits and transfinite compositions.(The file
CategoryTheory.Typesis also moved toCategoryTheory.Types.Basic.)(This is extended to presheaves of types in #23298.)