Theorems · Definition · category theory

CategoryTheory.functorProdToProdFunctor

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

The backward direction for functorProdFunctorEquiv

Defined in

Mathlib.CategoryTheory.Products.Basic

Cited by

11 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category