Theorems · Inductive type · category theory
CategoryTheory.MorphismProperty.HasLocalization
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.MorphismProperty C → Type (max (max (u + 1) v) (w + 1))The data of a localized category with a given universe for the morphisms.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MorphismPropertystatement · cited by 2,179
Cited by40
Results whose statement or proof uses this declaration.
- HasDerivedCategoryproof · cited by 190
- HomologicalComplexUpToQuasiIsostatement and proof · cited by 12
- HomologicalComplexUpToQuasiIso.Qstatement and proof · cited by 11
- HomologicalComplexUpToQuasiIso.Qhstatement and proof · cited by 8
- HomologicalComplexUpToQuasiIso.quotientCompQhIsostatement and proof · cited by 7
- HomologicalComplexUpToQuasiIso.homologyFunctorFactorsstatement and proof · cited by 5
- HomologicalComplexUpToQuasiIso.homologyFunctorstatement and proof · cited by 4
- HomologicalComplexUpToQuasiIso.homologyFunctorFactorshstatement and proof · cited by 4
- CategoryTheory.Functor.mapHomologicalComplexUpToQuasiIsostatement and proof · cited by 3
- CategoryTheory.Functor.mapHomologicalComplexUpToQuasiIsoFactorshstatement and proof · cited by 3
- CategoryTheory.Functor.mapHomologicalComplexUpToQuasiIsoFactorsstatement and proof · cited by 2
- CategoryTheory.Functor.mapHomologicalComplexUpToQuasiIsoFactorsh_hom_appstatement and proof · cited by 2