∀ (k : Type u_3) (G : Type u_2) [inst : CommRing k] [inst_1 : Monoid G] {X Y Z : Action (Type u_1) G} (f : X ⟶ Y)
  (g : Y ⟶ Z),
  Rep.ofHom (Representation.linearizeMap (CategoryTheory.CategoryStruct.comp f g)) =
    CategoryTheory.CategoryStruct.comp (Rep.ofHom (Representation.linearizeMap f))
      (Rep.ofHom (Representation.linearizeMap g))