Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  Γ : list A
  Γ' : list A
  a : A
  Δ : list A
  IHΔ : ∀ Γ Γ' Δ' : list A,
          #|Γ| = #|Γ'|
          → 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) ([] ++ Γ')
  H0 : BinInt.Z.add
         (BinInt.Z.add (BinInt.Z.of_nat #|Δ|) (BinInt.Z.of_nat #|Γ|))
         (BinNums.Zpos BinNums.xH) = BinInt.Z.of_nat #|Γ'|
  H : BinInt.Z.of_nat #|Γ| = BinInt.Z.of_nat #|Γ'|
  cstr : BinInt.Z.le BinNums.Z0 (BinInt.Z.of_nat #|Γ'|)
  cstr0 : BinInt.Z.le BinNums.Z0 (BinInt.Z.of_nat #|Δ|)
  cstr1 : BinInt.Z.le BinNums.Z0 (BinInt.Z.of_nat #|Γ|)
  ============================
   (All2_fold P Γ Γ'
    × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) (a :: Δ) [])


DEBUG:Going to execute:
<coq-core.plugins.zify::TRANS@1>