{X : Type u_3} →
  [inst : TopologicalSpace X] →
    {motive : PrespectralSpace X → Sort u} →
      (t : PrespectralSpace X) →
        ((isTopologicalBasis : TopologicalSpace.IsTopologicalBasis {U | IsOpen U ∧ IsCompact U}) → motive ⋯) → motive t