reserve T for TopSpace;

theorem Th14:
  for F being Subset-Family of T holds Cl(meet F) c= meet(Cl F)
proof
  let F be Subset-Family of T;
A1: meet(Cl F) is closed by PCOMPS_1:11,TOPS_2:22;
  Cl meet F c= Cl meet(Cl F) by Th13,PRE_TOPC:19;
  hence thesis by A1,PRE_TOPC:22;
end;
