Theorems · Definition · category theory
CategoryTheory.Paths.lift
{V : Type u₁} →
[inst : Quiver V] →
{C : Type u_1} →
[inst_1 : CategoryTheory.Category.{v_1, u_1} C] → V ⥤q C → CategoryTheory.Functor (CategoryTheory.Paths V) CAny prefunctor from V lifts to a functor from paths V
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Prefunctor.objproof · cited by 1,241
- Prefunctor.mapproof · cited by 952
- Quiverstatement and proof · cited by 405
- Quiver.Pathproof · cited by 166
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.Pathsstatement and proof · cited by 82
Cited by10
Results whose statement or proof uses this declaration.
- SimplexCategoryGenRel.toSimplexCategoryproof · cited by 7
- CategoryTheory.Cat.FreeRefl.liftproof · cited by 6
- Quiver.FreeGroupoid.liftproof · cited by 5
- Quiver.FreeGroupoid.lift_uniqueproof · cited by 3
- CategoryTheory.Paths.lift_uniquestatement · cited by 1
- Quiver.FreeGroupoid.lift_specproof · cited by 1
- CategoryTheory.Paths.lift_specstatement and proof · cited by 1
- CategoryTheory.Paths.lift_consstatement · cited by 0
- CategoryTheory.Paths.lift_nilstatement · cited by 0
- CategoryTheory.Paths.lift_toPathstatement · cited by 0