reserve c, c1, c2, d, d1, d2, e, y for Real,
  k, n, m, N, n1, N0, N1, N2, N3, M for Element of NAT,
  x for set;

theorem
  for e being Real st e > 0 holds (seq_logn/"seq_n^(e)) is convergent &
  lim(seq_logn/"seq_n^(e)) = 0 by Lm11;
