Goal:
  
  A : Type
  P : nat → A → Type
  n : nat
  a : A
  l : list A
  l' : list A
  IHl : ∀ (n : nat) (l' : list A),
          Alli P n (l ++ l') → Alli P n l × Alli P (#|l| + n) l'
  X : P n a
  X0 : Alli P (S n) (l ++ l')
  ============================
   (Alli P (#|a :: l| + n) l')


DEBUG:Going to execute:
F x2 x1 x0
Level 2: evaluation returns
<coq-core.plugins.tauto::find_cut@0>
where
k := fun id0 id1 X2 => assert X2; [ exact (id0 id1) | clear id0 ]
     where
     flags := 
     of type
     tauto_flags
of type
tacvalue of type tacvalue