
theorem Th8:
  for R being /\-complete Semilattice, S being Subset of R,
  a being Element of R holds a in S implies "/\"(S,R) <= a
proof
  let R be /\-complete Semilattice, S be Subset of R;
  let a be Element of R;
  assume
A1: a in S;
  then ex_inf_of S,R by WAYBEL_0:76;
  then S is_>=_than "/\"(S, R) by YELLOW_0:31;
  hence thesis by A1;
end;
