∀ {Γ : Type u_1} {Λ : Type u_2} {σ : Type u_3} {q₁ : Turing.TM1.Stmt Γ Λ σ} ⦃q₀ : Turing.TM1.Stmt Γ Λ σ⦄
  (p : Γ → σ → Bool) (q₁_1 q₂ : Turing.TM1.Stmt Γ Λ σ),
  (q₁ ∈ Turing.TM1.stmts₁ q₁_1 → q₀ ∈ Turing.TM1.stmts₁ q₁_1) →
    q₁ ∈ Turing.TM1.stmts₁ q₁_1 →
      q₀ ∈ insert (Turing.TM1.Stmt.branch p q₁_1 q₂) (Turing.TM1.stmts₁ q₁_1 ∪ Turing.TM1.stmts₁ q₂)