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 s being Real_Sequence st
for n being Nat holds s.n = (1 + 1/(n+1)) to_power
  (n+1) holds s is non-decreasing by Lm41;
