Goal:
  
  A : Type
  P : list A → A → Type
  a : A
  Γ : list A
  Δ : list A
  IHΓ : All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
  X : All_fold P (Γ ++ Δ)
  p : P (Γ ++ Δ) a
  ============================
   (All_fold P Δ)


DEBUG:Going to execute:
fun tac =>
             <Coq.Init.Tauto.with_uniform_flags>
              ltac:(fun flags => <Coq.Init.Tauto.intuition_gen> flags tac)