
theorem
  for N being RealNormSpace,
      s being sequence of the carrier of TopSpaceMetr MetricSpaceNorm(N),
      x being Point of TopSpaceMetr MetricSpaceNorm N holds
    x in lim_f s
      iff
    for b being Element of Balls(x) ex i being Nat st
    for j being Nat st i <=j holds s.j in b by Th6;
