Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.externalProductCompDiagIso_inv_app_app

∀ (J₁ : Type u₁) (C : Type u₃) [inst : CategoryTheory.Category.{v₁, u₁} J₁]
  [inst_1 : CategoryTheory.Category.{v₃, u₃} C] [inst_2 : CategoryTheory.MonoidalCategory C]
  (X : CategoryTheory.Functor J₁ C × CategoryTheory.Functor J₁ C) (X_1 : J₁),
  ((CategoryTheory.MonoidalCategory.externalProductCompDiagIso J₁ C).inv.app X).app X_1 =
    CategoryTheory.CategoryStruct.id (CategoryTheory.MonoidalCategoryStruct.tensorObj (X.1.obj X_1) (X.2.obj X_1))

Defined in

Mathlib.CategoryTheory.Monoidal.ExternalProduct.Basic

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory