{R : Type u_1} →
  {𝕜₂ : Type u_3} →
    {𝕜₃ : Type u_4} →
      {E : Type u_5} →
        {F : Type u_6} →
          {G : Type u_7} →
            [inst : Semiring R] →
              [inst_1 : NormedField 𝕜₂] →
                [inst_2 : NormedField 𝕜₃] →
                  [inst_3 : AddCommMonoid E] →
                    [inst_4 : Module R E] →
                      [inst_5 : TopologicalSpace E] →
                        [inst_6 : AddCommGroup F] →
                          [inst_7 : Module 𝕜₂ F] →
                            [inst_8 : TopologicalSpace F] →
                              [inst_9 : AddCommGroup G] →
                                [inst_10 : Module 𝕜₃ G] →
                                  [inst_11 : TopologicalSpace G] →
                                    [inst_12 : IsTopologicalAddGroup G] →
                                      [inst_13 : ContinuousConstSMul 𝕜₃ G] →
                                        {σ₁₃ : R →+* 𝕜₃} →
                                          {σ₂₃ : 𝕜₂ →+* 𝕜₃} → (E →SL[σ₁₃] F →SL[σ₂₃] G) → E →ₛₗ[σ₁₃] F →ₛₗ[σ₂₃] G