
theorem
  for N being RealNormSpace,
      L being non empty transitive reflexive RelStr,
      f being Function of [#]L,the carrier of TopSpaceMetr MetricSpaceNorm(N),
      x being Point of TopSpaceMetr MetricSpaceNorm(N),
      B being basis of BOOL2F NeighborhoodSystem x st
  [#]L is directed holds
    x in lim_f f
     iff
    for b being Element of B ex i be Element of L st
    for j being Element of L st i <=j holds f.j in b by CARDFIL2:84;
