Goal:
  
  A : Type
  P : nat → A → Type
  x : A
  tl : list A
  n0 : nat
  p : P n0 x
  HPl : Alli P (S n0) tl
  IHHPl : ∀ n : nat, nth_error tl n = Some x → P (S n0 + n) x
  ============================
   (P n0 x)


DEBUG:Going to execute:
let rec do_ccl :=
            try do_atom; repeat (do_intro; try do_atom); try arith_congr;
             (solve [ split; do_ccl ])
           in
           (solve [ do_atom | use_hyps; do_ccl ]) ||
             fail "Cannot solve this goal"