
theorem Th26:
  for L being non empty complete LATTICE, D being directed non
  empty Subset of L holds [Net-Str D,sup D] in lim_inf-Convergence L
proof
  let L be non empty complete LATTICE;
  let D be directed non empty Subset of L;
  Net-Str D in NetUniv L & for M being subnet of Net-Str D holds lim_inf M
  = sup D by Th24,Th25;
  hence thesis by Def3;
end;
