Theorems · Definition · category theory
CategoryTheory.Cat.free
CategoryTheory.Functor CategoryTheory.Quiv CategoryTheory.Cat
The functor sending each quiver to its path category.
- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Bundled.αproof · cited by 736
- CategoryTheory.Cat.ofproof · cited by 189
- CategoryTheory.Functor.toCatHomproof · cited by 124
- CategoryTheory.Pathsproof · cited by 82
- CategoryTheory.Quivstatement and proof · cited by 21
- CategoryTheory.Cat.freeMapproof · cited by 13
- CategoryTheory.Prefunctor.ofQuivHomproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Quiv.adjstatement · cited by 2
- CategoryTheory.Quiv.adj_homEquivstatement · cited by 0
- CategoryTheory.Cat.freeReflNatTransstatement · cited by 0
- CategoryTheory.Cat.free_mapstatement and proof · cited by 0
- CategoryTheory.Cat.free_objstatement and proof · cited by 0
- CategoryTheory.ReflQuiv.adj.unit.map_app_eqstatement · cited by 0