Goal:
  
  T : Type -> Type
  M : Monad T
  A : Type
  P : nat -> A -> Type
  k : nat
  a : A
  l : list A
  f : forall (n : nat) (x : A),
      nth_error (a :: l) n = Some x -> T (∥ P (k + n) x ∥)
  Y : Alli P (S k) l
  X : P k a
  ============================
   (Alli P k (a :: l))


DEBUG:Going to execute:
constructor
DEBUG LTAC Evaluated term: sq
DEBUG LTAC Evaluated term: Nat.add_0_r
DEBUG LTAC Evaluated term: Nat.add_0_r