∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Preadditive C]
  {X Y Z : SimplicialObject.Split C} (f : X ⟶ Y) (g : Y ⟶ Z),
  { f := (CategoryTheory.CategoryStruct.comp f g).f, comm' := ⋯ } =
    CategoryTheory.CategoryStruct.comp { f := f.f, comm' := ⋯ } { f := g.f, comm' := ⋯ }