∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (G : CategoryTheory.Functor C D) {J : Type w} [inst_2 : CategoryTheory.Category.{w', w} J]
  (F : CategoryTheory.Functor J C) [inst_3 : CategoryTheory.Limits.PreservesColimit F G]
  [inst_4 : CategoryTheory.Limits.HasColimit F] (j : J),
  CategoryTheory.CategoryStruct.comp (G.map (CategoryTheory.Limits.colimit.ι F j))
      (CategoryTheory.preservesColimitIso G F).hom =
    CategoryTheory.Limits.colimit.ι (F.comp G) j