Theorems · Theorem · category theory

CategoryTheory.Comma.equivProd_counitIso_inv_app

∀ {A : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} A] {B : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} B]
  (L : CategoryTheory.Functor A (CategoryTheory.Discrete PUnit.{u_1 + 1}))
  (R : CategoryTheory.Functor B (CategoryTheory.Discrete PUnit.{u_1 + 1})) (X : A × B),
  (CategoryTheory.Comma.equivProd L R).counitIso.inv.app X =
    CategoryTheory.Prod.mkHom (CategoryTheory.CategoryStruct.id X.1) (CategoryTheory.CategoryStruct.id X.2)

Defined in

Mathlib.CategoryTheory.Comma.Basic

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category