Theorems · Definition · category theory

CategoryTheory.GradedObject.mapBifunctor

{C₁ : Type u_1} →
  {C₂ : Type u_2} →
    {C₃ : Type u_3} →
      [inst : CategoryTheory.Category.{v_1, u_1} C₁] →
        [inst_1 : CategoryTheory.Category.{v_2, u_2} C₂] →
          [inst_2 : CategoryTheory.Category.{v_3, u_3} C₃] →
            CategoryTheory.Functor C₁ (CategoryTheory.Functor C₂ C₃) →
              (I : Type u_4) →
                (J : Type u_5) →
                  CategoryTheory.Functor (CategoryTheory.GradedObject I C₁)
                    (CategoryTheory.Functor (CategoryTheory.GradedObject J C₂) (CategoryTheory.GradedObject (I × J) C₃))

Given a bifunctor F : C₁ ⥤ C₂ ⥤ C₃ and types I and J, this is the obvious functor GradedObject I C₁ ⥤ GradedObject J C₂ ⥤ GradedObject (I × J) C₃.

Defined in

Mathlib.CategoryTheory.GradedObject.Bifunctor

Cited by

87 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category