{α : Type u} →
  [t : TopologicalSpace α] →
    {motive : FirstCountableTopology α → Sort u_1} →
      (t_1 : FirstCountableTopology α) →
        ((nhds_generated_countable : ∀ (a : α), (nhds a).IsCountablyGenerated) → motive ⋯) → motive t_1