Theorems · Definition · category theory
CategoryTheory.Paths.of
(V : Type u₁) → [inst : Quiver V] → V ⥤q CategoryTheory.Paths V
The inclusion of a quiver V into its path category, as a prefunctor.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Quiverstatement and proof · cited by 405
- Prefunctorstatement · cited by 116
- CategoryTheory.Pathsstatement · cited by 82
- Quiver.Hom.toPathproof · cited by 38
Cited by34
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.Qproof · cited by 98
- SimplexCategoryGenRel.mkproof · cited by 39
- SimplexCategoryGenRel.σproof · cited by 26
- SimplexCategoryGenRel.δproof · cited by 20
- CategoryTheory.Localization.Construction.wIsoproof · cited by 5
- Quiver.FreeGroupoid.lift_uniqueproof · cited by 3
- SimplexCategoryGenRel.multiplicativeClosure_isGenerator_eq_topproof · cited by 2
- CategoryTheory.Paths.inductionstatement and proof · cited by 2
- CategoryTheory.Quiv.adjproof · cited by 2
- CategoryTheory.Paths.lift_uniquestatement and proof · cited by 1
- CategoryTheory.Paths.morphismProperty_eq_topstatement and proof · cited by 1
- CategoryTheory.Paths.of_mapstatement and proof · cited by 1