Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  Γ : list A
  Γ' : list A
  a : A
  Δ : list A
  a0 : A
  Δ' : list A
  H : S #|Δ| = S #|Δ'|
  IHΔ : ∀ Γ Γ' Δ' : list A,
          #|Δ| = #|Δ'|
          → All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
            → All2_fold P Γ Γ'
              × All2_fold (λ Δ Δ'0 : list A, P (Δ ++ Γ) (Δ'0 ++ Γ')) Δ Δ'
  H' : All2_fold P ((a :: Δ) ++ Γ) ((a0 :: Δ') ++ Γ')
  ============================
   (#|Δ| = #|Δ'|)


DEBUG:Going to execute:
intros; Zify.zify_pre_hook