
theorem Th8:
  for X being set, A being Subset-Family of X holds X in FinMeetCl A
proof
  let X be set, A be Subset-Family of X;
  {} is Subset-Family of X by XBOOLE_1:2;
  then consider y being Subset-Family of X such that
A1: y = {};
  y c= A & Intersect y = X by A1,SETFAM_1:def 9;
  hence thesis by A1,Def3;
end;
