{ι : Type t} →
  {X : ι → Type u} →
    [inst : (i : ι) → TopologicalSpace (X i)] →
      {Y : Type v} →
        [tY : TopologicalSpace Y] →
          {motive : Topology.IsGeneratedBy X Y → Sort u_1} →
            (t : Topology.IsGeneratedBy X Y) →
              ((continuous_equiv_symm : Continuous ⇑Topology.WithGeneratedByTopology.equiv.symm) → motive ⋯) → motive t