Theorems · Definition · category theory

CategoryTheory.Functor.mapArrowFunctor

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (D : Type u₂) →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.Functor (CategoryTheory.Functor C D)
          (CategoryTheory.Functor (CategoryTheory.Arrow C) (CategoryTheory.Arrow D))

The functor (C ⥤ D) ⥤ (Arrow C ⥤ Arrow D) which sends a functor F : C ⥤ D to F.mapArrow.

Defined in

Mathlib.CategoryTheory.Comma.Arrow

Cited by

23 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category