
theorem
  for M being non empty MetrSpace,
      L being non empty transitive reflexive RelStr,
      f being Function of [#]L,the carrier of TopSpaceMetr(M),
      x being Point of TopSpaceMetr(M),
      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 being Element of L st
      for j being Element of L st i <=j holds f.j in b by CARDFIL2:84;
