(** Normalization on little-endian numbers *)
Fixpoint nztail d :=
match d with
| Nil => Nil
| D0 d => match nztail d with Nil => Nil | d' => D0 d' end
| D1 d => D1 (nztail d)
| D2 d => D2 (nztail d)
| D3 d => D3 (nztail d)
| D4 d => D4 (nztail d)
| D5 d => D5 (nztail d)
| D6 d => D6 (nztail d)
| D7 d => D7 (nztail d)
| D8 d => D8 (nztail d)
| D9 d => D9 (nztail d)
end.
Definition lnorm d :=
match nztail d with
| Nil => zero
| d => d
end.

Lemma norm_del_tail_int_norm n d :
n < nb_digits (match norm d with Pos d | Neg d => d end) ->
norm (del_tail_int n (norm d)) = del_tail_int n (norm d).