
theorem
  for L being non empty RelStr, N,x being set holds [N,x] in
  lim_inf-Convergence L implies N in NetUniv L
proof
  let L be non empty RelStr, N,x be set;
A1: lim_inf-Convergence L c= [:NetUniv L,the carrier of L:] by YELLOW_6:def 18;
  assume [N,x] in lim_inf-Convergence L;
  hence thesis by A1,ZFMISC_1:87;
end;
