[Merged by Bors] - feat: small types of shifted hom in the localized category #13926
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PR summary 8e85e80a4c
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| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.CategoryTheory.Shift.Localization | 438 | 441 | +3 (+0.68%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.CategoryTheory.Shift.ShiftedHom |
1 |
6 filesMathlib.CategoryTheory.Triangulated.HomologicalFunctor Mathlib.Algebra.Homology.HomotopyCategory.HomologicalFunctor Mathlib.CategoryTheory.Localization.Triangulated Mathlib.CategoryTheory.Shift.Localization Mathlib.Algebra.Homology.HomotopyCategory.ShortExact Mathlib.CategoryTheory.Triangulated.Subcategory |
3 |
Mathlib.CategoryTheory.Localization.SmallShiftedHom |
672 |
Declarations diff
+ SmallShiftedHom
+ comp
+ comp_assoc
+ comp_map
+ equiv
+ equiv_comp
+ equiv_shift'
+ hasSmallLocalizedHom_of_hasSmallLocalizedShiftedHom₀
+ id_map
+ instance (m : M) : HasSmallLocalizedHom.{w} W (X⟦m⟧) Y
+ instance (m : M) : HasSmallLocalizedHom.{w} W X (Y⟦m⟧)
+ instance (m m' n : M) : HasSmallLocalizedHom.{w} W (X⟦m⟧⟦m'⟧) (Y⟦n⟧)
+ instance (m n n' : M) : HasSmallLocalizedHom.{w} W (X⟦m⟧) (Y⟦n⟧⟦n'⟧)
+ map
+ map_comp
++ equiv_shift
++ shift
You can run this locally as follows
## summary with just the declaration names:
./scripts/no_lost_declarations.sh short <optional_commit>
## more verbose report:
./scripts/no_lost_declarations.sh <optional_commit>…ocalized-shifted-hom
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Co-authored-by: Andrew Yang <[email protected]>
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🚀 Pull request has been placed on the maintainer queue by erdOne. |
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Jul 4, 2024
Co-authored-by: Andrew Yang <[email protected]>
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Thanks! bors merge |
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If `C` is a category equipped with a shift by an additive monoid `M`, and `W : MorphismProperty C` is compatible with the shift, we define a type-class `HasSmallLocalizedShiftedHom.{w} W X Y` which says that all the types of morphisms from `X⟦a⟧` to `Y⟦b⟧` in the localized category are `w`-small for a certain universe. Then, we define types `SmallShiftedHom.{w} W X Y m : Type w` for all `m : M`, and endow these with a composition which transports the composition on the types `ShiftedHom (L.obj X) (L.obj Y) m` when `L : C ⥤ D` is any localization functor for `W`.
This shall be used in the redefinition of `Ext`-groups in abelian categories.
Co-authored-by: Riccardo Brasca <[email protected]>
Co-authored-by: Joël Riou <[email protected]>
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Pull request successfully merged into master. Build succeeded: |
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If
Cis a category equipped with a shift by an additive monoidM, andW : MorphismProperty Cis compatible with the shift, we define a type-classHasSmallLocalizedShiftedHom.{w} W X Ywhich says that all the types of morphisms fromX⟦a⟧toY⟦b⟧in the localized category arew-small for a certain universe. Then, we define typesSmallShiftedHom.{w} W X Y m : Type wfor allm : M, and endow these with a composition which transports the composition on the typesShiftedHom (L.obj X) (L.obj Y) mwhenL : C ⥤ Dis any localization functor forW.This shall be used in the redefinition of
Ext-groups in abelian categories.