Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.externalProduct

{J₁ : Type u₁} →
  {J₂ : Type u₂} →
    {C : Type u₃} →
      [inst : CategoryTheory.Category.{v₁, u₁} J₁] →
        [inst_1 : CategoryTheory.Category.{v₂, u₂} J₂] →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} C] →
            [CategoryTheory.MonoidalCategory C] →
              CategoryTheory.Functor J₁ C → CategoryTheory.Functor J₂ C → CategoryTheory.Functor (J₁ × J₂) C

An abbreviation for the action of externalProductBifunctor J₁ J₂ C on objects.

Defined in

Mathlib.CategoryTheory.Monoidal.ExternalProduct.Basic

Cited by

77 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory