Theorems · Definition · category theory
CategoryTheory.Quiv.pathsEquiv
{V : Type u} →
{C : Type u₁} →
[inst : Quiver V] →
[inst_1 : CategoryTheory.Category.{v₁, u₁} C] → CategoryTheory.Functor (CategoryTheory.Paths V) C ≃ V ⥤q CThe universal property of the path category of a quiver.
- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Functorstatement and proof · cited by 16,252
- Equivstatement · cited by 8,337
- CategoryTheory.Functor.compproof · cited by 6,529
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.Pathsstatement and proof · cited by 82
- Prefunctor.compproof · cited by 35
- CategoryTheory.Functor.toPrefunctorproof · cited by 24
- CategoryTheory.Paths.ofproof · cited by 20
- CategoryTheory.Cat.freeMapproof · cited by 13
- CategoryTheory.pathCompositionproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Quiv.adj_homEquivstatement · cited by 0