Goal:
  
  A : Type
  B : Type
  P : list A → list A → A → A → B → Type
  a : A
  ls3 : list A
  X : All
        (λ z : B,
           All2_fold (λ (l1 l2 : list A) (x y : A), P l1 l2 x y z) []
             (a :: ls3)) []
  ============================
   (([] = []) +
    All2_fold (λ (l1 l2 : list A) (x y : A), All (P l1 l2 x y) []) []
      (a :: ls3))%type


DEBUG:Going to execute:
lazymatch x with
           | [] => idtac
           | _ :: _ => idtac
           end