{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_2} →
      {E'' : Type u} →
        [inst_1 : NormedAddCommGroup E] →
          [inst_2 : NormedSpace 𝕜 E] →
            [inst_3 : NormedAddCommGroup E''] →
              [inst_4 : NormedSpace 𝕜 E''] →
                {H : Type u_7} →
                  [inst_5 : TopologicalSpace H] →
                    {G : Type u_9} →
                      [inst_6 : TopologicalSpace G] →
                        ModelWithCorners 𝕜 E H →
                          ModelWithCorners 𝕜 E'' G →
                            {M : Type u_11} →
                              [inst : TopologicalSpace M] →
                                [ChartedSpace H M] →
                                  {N : Type u_13} →
                                    [inst : TopologicalSpace N] → [ChartedSpace G N] → WithTop ℕ∞ → (M → N) → M → Prop