∀ {K : Type u_1} {Γ : K → Type u_2} (f : ((k : K) → Option (Γ k)) → (k : K) → Option (Γ k))
  (L : Turing.ListBlank ((k : K) → Option (Γ k))) (n : ℕ),
  Turing.ListBlank.modifyNth (fun a => (a.1, f a.2)) n (Turing.TM2to1.addBottom L) =
    Turing.TM2to1.addBottom (Turing.ListBlank.modifyNth f n L)