Theorems · Definition · category theory
Prefunctor.comp
{U : Type u_1} →
[inst : Quiver U] →
{V : Type u_2} → [inst_1 : Quiver V] → {W : Type u_3} → [inst_2 : Quiver W] → U ⥤q V → V ⥤q W → U ⥤q WComposition of morphisms between quivers.
- Defined in
- Mathlib.Combinatorics.Quiver.Prefunctor
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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
- Prefunctor.objproof · cited by 1,241
- Prefunctor.mapproof · cited by 952
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
Cited by41
Results whose statement or proof uses this declaration.
- CategoryTheory.FreeGroupoid.ofproof · cited by 21
- CategoryTheory.ReflPrefunctor.compproof · cited by 11
- Prefunctor.comp_mapstatement and proof · cited by 5
- CategoryTheory.FreeGroupoid.lift_specproof · cited by 4
- CategoryTheory.PrelaxFunctorStruct.compproof · cited by 3
- CategoryTheory.Cat.freeMapCompIsostatement and proof · cited by 3
- Quiver.FreeGroupoid.lift_uniquestatement and proof · cited by 3
- Quiver.freeGroupoidFunctorproof · cited by 2
- CategoryTheory.Functor.toPrefunctor_compstatement · cited by 2
- CategoryTheory.Paths.lift_uniquestatement and proof · cited by 1
- CategoryTheory.Quiv.pathsEquivproof · cited by 1
- Quiver.FreeGroupoid.lift_specstatement and proof · cited by 1