{𝕜 : Type u_1} →
  {E : Type u_2} →
    {F : Type u_3} →
      {G : Type u_4} →
        [inst : NontriviallyNormedField 𝕜] →
          [inst_1 : SeminormedAddCommGroup E] →
            [inst_2 : SeminormedAddCommGroup F] →
              [inst_3 : SeminormedAddCommGroup G] →
                [inst_4 : NormedSpace 𝕜 E] →
                  [inst_5 : NormedSpace 𝕜 F] →
                    [inst_6 : NormedSpace 𝕜 G] →
                      (R : Type u_5) →
                        [inst_7 : Semiring R] →
                          [inst_8 : Module R F] →
                            [inst_9 : Module R G] →
                              [inst_10 : ContinuousConstSMul R F] →
                                [inst_11 : ContinuousConstSMul R G] →
                                  [inst_12 : SMulCommClass 𝕜 R F] →
                                    [inst_13 : SMulCommClass 𝕜 R G] → (E →L[𝕜] F) × (E →L[𝕜] G) ≃ₗᵢ[R] E →L[𝕜] F × G