{F : Type u_5} →
  {A : Type u_6} →
    {B : Type u_7} →
      [inst : TopologicalSpace A] →
        [inst_1 : TopologicalSpace B] →
          [h : EquivLike F A B] →
            {motive : HomeomorphClass F A B → Sort u} →
              ((map_continuous : ∀ (f : F), Continuous ⇑f) →
                  (inv_continuous : ∀ (f : F), Continuous (EquivLike.inv f)) → motive ⋯) →
                (t : HomeomorphClass F A B) → motive t