Theorems · Definition · category theory
CategoryTheory.Localization.Construction.LocQuiver.obj
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
{W : CategoryTheory.MorphismProperty C} → CategoryTheory.Localization.Construction.LocQuiver W → Cunderlying object
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Localization.Construction.LocQuiverstatement and proof · cited by 13
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.Construction.objEquivproof · cited by 5
- CategoryTheory.Localization.Construction.liftToPathCategoryproof · cited by 4
- CategoryTheory.Localization.Construction.morphismProperty_eq_topproof · cited by 2
- CategoryTheory.Localization.Construction.uniqproof · cited by 2
- CategoryTheory.Localization.Construction.natTrans_hcomp_injectiveproof · cited by 0
- CategoryTheory.Localization.Construction.objEquiv_symm_applystatement · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.inverse_obj_mapstatement · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.inverse_obj_objstatement · cited by 0
- CategoryTheory.Localization.Construction.liftToPathCategory_mapstatement · cited by 0
- CategoryTheory.Localization.Construction.liftToPathCategory_objstatement · cited by 0
- CategoryTheory.Localization.Construction.lift_mapstatement · cited by 0
- CategoryTheory.Localization.Construction.lift_objstatement · cited by 0