Theorems · Theorem · category theory

CategoryTheory.Join.mapPairLeft_inv_app

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] {E' : Type u₄}
  [inst_3 : CategoryTheory.Category.{v₄, u₄} E'] (Fₗ : CategoryTheory.Functor C E) (Fᵣ : CategoryTheory.Functor D E')
  (X : C),
  (CategoryTheory.Join.mapPairLeft Fₗ Fᵣ).inv.app X =
    CategoryTheory.CategoryStruct.id (CategoryTheory.Join.left (Fₗ.obj X))

Defined in

Mathlib.CategoryTheory.Join.Basic

Cited by

0 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category