{P : Sort u} →
  {K : Type u_1} →
    {inst : DivisionRing K} →
      {inst_1 : LinearOrder K} →
        {inst_2 : IsOrderedRing K} →
          {inst_3 : Archimedean K} →
            {M : Type u_2} →
              {inst_4 : AddCommGroup M} →
                {inst_5 : LinearOrder M} →
                  {inst_6 : IsOrderedAddMonoid M} →
                    {inst_7 : Module K M} →
                      {inst_8 : IsOrderedModule K M} →
                        {t : HahnEmbedding.ArchimedeanStrata K M} →
                          {K' : Type u_1} →
                            {inst' : DivisionRing K'} →
                              {inst'_1 : LinearOrder K'} →
                                {inst'_2 : IsOrderedRing K'} →
                                  {inst'_3 : Archimedean K'} →
                                    {M' : Type u_2} →
                                      {inst'_4 : AddCommGroup M'} →
                                        {inst'_5 : LinearOrder M'} →
                                          {inst'_6 : IsOrderedAddMonoid M'} →
                                            {inst'_7 : Module K' M'} →
                                              {inst'_8 : IsOrderedModule K' M'} →
                                                {t' : HahnEmbedding.ArchimedeanStrata K' M'} →
                                                  K = K' →
                                                    inst ≍ inst' →
                                                      inst_1 ≍ inst'_1 →
                                                        inst_2 ≍ inst'_2 →
                                                          inst_3 ≍ inst'_3 →
                                                            M = M' →
                                                              inst_4 ≍ inst'_4 →
                                                                inst_5 ≍ inst'_5 →
                                                                  inst_6 ≍ inst'_6 →
                                                                    inst_7 ≍ inst'_7 →
                                                                      inst_8 ≍ inst'_8 →
                                                                        t ≍ t' →
                                                                          HahnEmbedding.ArchimedeanStrata.noConfusionType
                                                                            P t t'