{X : Type u_1} →
  [inst : TopologicalSpace X] →
    {P : Set X → Set X → Prop} →
      (motive : ℕ → Urysohns.CU P → X → Sort u_2) →
        (x : ℕ) →
          (x_1 : Urysohns.CU P) →
            (x_2 : X) →
              ((c : Urysohns.CU P) → (x : X) → motive 0 c x) →
                ((n : ℕ) → (c : Urysohns.CU P) → (x : X) → motive n.succ c x) → motive x x_1 x_2