{R : Type u_1} →
  {V : Type u_2} →
    {W : Type u_3} →
      {P : Type u_4} →
        {Q : Type u_5} →
          {inst : Ring R} →
            {inst_1 : AddCommGroup V} →
              {inst_2 : Module R V} →
                {inst_3 : TopologicalSpace P} →
                  {inst_4 : AddTorsor V P} →
                    {inst_5 : AddCommGroup W} →
                      {inst_6 : Module R W} →
                        {inst_7 : TopologicalSpace Q} →
                          {inst_8 : AddTorsor W Q} →
                            {P_1 : Sort u} →
                              {toAffineMap : P →ᵃ[R] Q} →
                                {cont : Continuous toAffineMap.toFun} →
                                  {toAffineMap' : P →ᵃ[R] Q} →
                                    {cont' : Continuous toAffineMap'.toFun} →
                                      { toAffineMap := toAffineMap, cont := cont } =
                                          { toAffineMap := toAffineMap', cont := cont' } →
                                        (toAffineMap ≍ toAffineMap' → P_1) → P_1