Theorems · Definition · category theory

CategoryTheory.Sum.functorEquiv

(A : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} A] →
    (A' : Type u_2) →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} A'] →
        (B : Type u) →
          [inst_2 : CategoryTheory.Category.{v, u} B] →
            CategoryTheory.Functor (A ⊕ A') B ≌ CategoryTheory.Functor A B × CategoryTheory.Functor A' B

The equivalence between functors from a sum and the product of the functor categories.

Defined in

Mathlib.CategoryTheory.Sums.Products

Cited by

31 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category