∀ {K : Type u_1} {Γ : K → Type u_2} {Λ : Type u_3} {σ : Type u_4} [inst : DecidableEq K] (x : σ)
  (x_1 : (k : K) → List (Γ k)) (f : σ → Bool) (q₁ q₂ : Turing.TM2.Stmt Γ Λ σ),
  Turing.TM2.stepAux (Turing.TM2.Stmt.branch f q₁ q₂) x x_1 =
    bif f x then Turing.TM2.stepAux q₁ x x_1 else Turing.TM2.stepAux q₂ x x_1