Theorems · Theorem · category theory

CategoryTheory.Limits.Cocone.functorialityEquivalence_counitIso

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {D : Type u₄} [inst_2 : CategoryTheory.Category.{v₄, u₄} D] (F : CategoryTheory.Functor J C) (e : C ≌ D),
  (CategoryTheory.Limits.Cocone.functorialityEquivalence F e).counitIso =
    CategoryTheory.NatIso.ofComponents' (fun c => CategoryTheory.Limits.Cocone.extInv (e.counitIso.app c.pt) ⋯) ⋯

Defined in

Mathlib.CategoryTheory.Limits.Cones

Cited by

0 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category