{α : Type u_2} →
  {l : Filter α} →
    {motive : CountableInterFilter l → Sort u} →
      (t : CountableInterFilter l) →
        ((countable_sInter_mem : ∀ (S : Set (Set α)), S.Countable → (∀ s ∈ S, s ∈ l) → ⋂₀ S ∈ l) → motive ⋯) → motive t