
theorem Th1:
  for L1 be continuous sup-Semilattice for B1 be with_bottom
  CLbasis of L1 holds CLweight L1 c= card B1
proof
  let L1 be continuous sup-Semilattice;
  let B1 be with_bottom CLbasis of L1;
  card B1 in the set of all  card B2 where B2 is with_bottom CLbasis of L1 ;
  hence thesis by SETFAM_1:3;
end;
