Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  Γ : list A
  Γ' : list A
  H : #|[]| = #|[]|
  ============================
   (All2_fold P ([] ++ Γ) ([] ++ Γ')
    → All2_fold P Γ Γ'
      × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) [] [])


DEBUG:Going to execute:
fun => <coq-core.plugins.tauto::reduction_not_iff@0>