{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_2} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {F : Type u_3} →
            [inst_3 : NormedAddCommGroup F] →
              [inst_4 : NormedSpace 𝕜 F] →
                {H : Type u_4} →
                  [inst_5 : TopologicalSpace H] →
                    {G : Type u_5} →
                      [inst_6 : TopologicalSpace G] →
                        {I : ModelWithCorners 𝕜 E H} →
                          {J : ModelWithCorners 𝕜 F G} →
                            {M : Type u_6} →
                              [inst_7 : TopologicalSpace M] →
                                [inst_8 : ChartedSpace H M] →
                                  {N : Type u_7} →
                                    [inst_9 : TopologicalSpace N] →
                                      [inst_10 : ChartedSpace G N] →
                                        {n : WithTop ℕ∞} →
                                          {f : M → N} → IsLocalDiffeomorph I J n f → TopologicalSpace.Opens N