∀ {R : Type u_4} [inst : Ring R] {J : Type u_3} [inst_1 : CategoryTheory.Category.{u_2, u_3} J]
  (F : CategoryTheory.Functor J (ModuleCat R))
  [inst_2 : CategoryTheory.Limits.HasColimit (F.comp (CategoryTheory.forget₂ (ModuleCat R) AddCommGrpCat))] (r s : R),
  CategoryTheory.Limits.colimMap { app := fun j => (F.obj j).smul (r + s), naturality := ⋯ } =
    CategoryTheory.Limits.colimMap { app := fun j => (F.obj j).smul r, naturality := ⋯ } +
      CategoryTheory.Limits.colimMap { app := fun j => (F.obj j).smul s, naturality := ⋯ }