Structures · Category theory
CategoryTheory.CountableCategory
A category with countably many objects and morphisms.
- Defined in
- Mathlib.CategoryTheory.Countable
- Shape
- One type argument · adds countableObj, countableHom
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by1
Forgetful instances
Every CategoryTheory.CountableCategory is also a
Provided automatically by
Concrete types that are instances6
- Nat
- CategoryTheory.Discrete
- CategoryTheory.ULiftHom
- CategoryTheory.CountableCategory.ObjAsType
- CategoryTheory.CountableCategory.HomAsType
- Opposite
How is a type an instance?
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Assumed by24
- CategoryTheory.CountableCategory.ObjAsType
- CategoryTheory.CountableCategory.instCountableHomAsType
- CategoryTheory.CountableCategory.homAsTypeEquiv
- CategoryTheory.CountableCategory.instCountableObjAsType
- LightProfinite.createsCountableLimits
- CategoryTheory.CountableCategory.instSmallCategoryHomAsType
- CategoryTheory.CountableCategory.instCountableHomHomAsType
- CategoryTheory.CountableCategory.objAsTypeEquiv
- CategoryTheory.CountableCategory.instHomAsType
- CategoryTheory.CountableCategory.instLocallySmallObjAsType
- LightProfinite.limitConeIsLimit
- CategoryTheory.CountableCategory.HomAsType
- CategoryTheory.CountableCategory.instObjAsType
- instPreservesLimitsOfShapeLightProfiniteLightCondSetLightProfiniteToLightCondSetOfCountableCategory
- CategoryTheory.Limits.instHasLimitsOfShapeOfHasCountableLimitsOfCountableCategory
- CategoryTheory.CountableCategory.instCountableHomObjAsType
- CategoryTheory.Limits.instHasColimitsOfShapeOfHasCountableColimitsOfCountableCategory
- LightProfinite.limitCone
- CategoryTheory.Limits.HasCountableLimits.out
- CategoryTheory.CountableCategory.countableHom
- CategoryTheory.Limits.HasCountableColimits.out
- CategoryTheory.countableCategoryUlift
- CategoryTheory.countableCategoryOpposite
- CategoryTheory.CountableCategory.countableObj