Theorems · Definition · category theory
CategoryTheory.MorphismProperty.HasLocalization.standard
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → (W : CategoryTheory.MorphismProperty C) → W.HasLocalizationThe constructed localized category.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.Qproof · cited by 98
- CategoryTheory.MorphismProperty.HasLocalizationstatement · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- HasDerivedCategory.standardproof · cited by 42
- CochainComplex.Plus.modelCategoryQuillen.exists_quasiIso_injectiveproof · cited by 1