∀ (R : Type u_2) (G : Type u_3) [inst : CommRing R] [inst_1 : Group G] [inst_2 : TopologicalSpace R]
  [inst_3 : TopologicalSpace G] [inst_4 : IsTopologicalGroup G] {X Y Z : Action (TopModuleCat R) G} (x : X ⟶ Y)
  (x_1 : Y ⟶ Z),
  {
      hom :=
        TopModuleCat.ofHom
          (ContinuousLinearMap.compLeftContinuous R G
            (TopModuleCat.Hom.hom (CategoryTheory.CategoryStruct.comp x x_1).hom)),
      comm := ⋯ } =
    {
      hom :=
        TopModuleCat.ofHom
          (ContinuousLinearMap.compLeftContinuous R G
            (TopModuleCat.Hom.hom (CategoryTheory.CategoryStruct.comp x x_1).hom)),
      comm := ⋯ }