Theorems · Definition · category theory

CategoryTheory.Functor.prod

{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] →
            {D : Type u₄} →
              [inst_3 : CategoryTheory.Category.{v₄, u₄} D] →
                CategoryTheory.Functor A B → CategoryTheory.Functor C D → CategoryTheory.Functor (A × C) (B × D)

The Cartesian product of two functors.

Defined in

Mathlib.CategoryTheory.Products.Basic

Cited by

126 results in Mathlib

Foundations

Depth 12 from the axioms, rests on 58 definitions · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category