Theorems · Definition · category theory

CategoryTheory.flipFunctor

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (D : Type u₂) →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (E : Type u₃) →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} E] →
            CategoryTheory.Functor (CategoryTheory.Functor C (CategoryTheory.Functor D E))
              (CategoryTheory.Functor D (CategoryTheory.Functor C E))

The functor (C ⥤ D ⥤ E) ⥤ D ⥤ C ⥤ E which flips the variables.

Defined in

Mathlib.CategoryTheory.Functor.Category

Cited by

23 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category