Theorems · Inductive type · category theory
CategoryTheory.Localization.Construction.LocQuiver
{C : Type uC} → [inst : CategoryTheory.Category.{uC', uC} C] → CategoryTheory.MorphismProperty C → Type uCIf W : MorphismProperty C, LocQuiver W is a quiver with the same objects
as C, and whose morphisms are those in C and placeholders for formal
inverses of the morphisms in W.
- Cited by
- 13 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 by29
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.Qproof · cited by 98
- CategoryTheory.Localization.Construction.LocQuiver.objstatement and proof · cited by 10
- CategoryTheory.Localization.Construction.relationsstatement · cited by 7
- CategoryTheory.Localization.Construction.wIsoproof · cited by 5
- CategoryTheory.Localization.Construction.liftToPathCategorystatement and proof · cited by 4
- CategoryTheory.Localization.Construction.LocQuiver.casesOnstatement and proof · cited by 2
- CategoryTheory.Localization.Construction.morphismProperty_eq_topproof · cited by 2
- CategoryTheory.Localization.Construction.uniqproof · cited by 2
- CategoryTheory.Localization.Construction.LocQuiver.mk.injstatement · cited by 1
- CategoryTheory.Localization.Construction.LocQuiver.mk.noConfusionstatement · cited by 1
- CategoryTheory.Localization.Construction.ιPathsstatement · cited by 1
- CategoryTheory.Localization.Construction.ψ₂statement and proof · cited by 1