Goal:
  
  A : Type
  P : A → A → Type
  a : A
  l : list A
  a0 : A
  l' : list A
  r : A
  r' : A
  IHl : ∀ l' : list A, All2 P (l ++ [r]) (l' ++ [r']) → All2 P l l' × P r r'
  X : All2 P (a :: l ++ [r]) ((a0 :: l') ++ [r'])
  X0 : P a a0
  X1 : All2 P l l' × P r r'
  ============================
   (All2 P l l')


DEBUG:Going to execute:
constructor
Level 0: Backtrace:

Not an inductive definition.
Level 0: Backtrace:

Not an inductive definition.