∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {J : Type u_4} {I : J → Type u_5}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} J] [inst_2 : (j : J) → CategoryTheory.Category.{u_6, u_5} (I j)]
  {D : CategoryTheory.Functor J C} {P : (j : J) → CategoryTheory.Limits.ColimitPresentation (I j) (D.obj j)}
  {X Y : CategoryTheory.Limits.ColimitPresentation.Total P} (f : X.Hom Y),
  { base := CategoryTheory.CategoryStruct.id X.fst, hom := CategoryTheory.CategoryStruct.id ((P X.fst).diag.obj X.snd),
          w := ⋯ }.comp
      f =
    f