Theorems · Theorem · category theory

CategoryTheory.Sum.functorEquiv_counitIso

∀ (A : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} A] (A' : Type u_2)
  [inst_1 : CategoryTheory.Category.{v_2, u_2} A'] (B : Type u) [inst_2 : CategoryTheory.Category.{v, u} B],
  (CategoryTheory.Sum.functorEquiv A A' B).counitIso =
    CategoryTheory.NatIso.ofComponents
      (fun F => (F.1.inlCompSum' F.2).prod (F.1.inrCompSum' F.2) ≪≫ CategoryTheory.prod.etaIso F) ⋯

Defined in

Mathlib.CategoryTheory.Sums.Products

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category