Theorems · Definition · category theory
CategoryTheory.Functor.toPrefunctor
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor C D → C ⥤q DThe prefunctor between the underlying quivers.
- Defined in
- Mathlib.CategoryTheory.Functor.Basic
- Cited by
- 24 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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Prefunctorstatement · cited by 116
Cited by30
Results whose statement or proof uses this declaration.
- CategoryTheory.FreeGroupoid.ofproof · cited by 21
- CategoryTheory.FreeGroupoid.liftproof · cited by 12
- CategoryTheory.PrelaxFunctor.mkOfHomFunctorsproof · cited by 6
- CategoryTheory.FreeGroupoid.lift_uniqueproof · cited by 5
- CategoryTheory.Quiv.forgetproof · cited by 5
- CategoryTheory.FreeGroupoid.lift_specproof · cited by 4
- Quiver.FreeGroupoid.lift_uniquestatement and proof · cited by 3
- 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
- Quiver.FreeGroupoid.of_eqstatement · cited by 1