theorem Th82:
  for A,B being Subset of TOP-REAL n holds A is bounded or B is
  bounded implies A /\ B is bounded
proof
  let A,B be Subset of TOP-REAL n;
  assume
A1: A is bounded or B is bounded;
  per cases by A1;
  suppose
    A is bounded;
    hence thesis by RLTOPSP1:42,XBOOLE_1:17;
  end;
  suppose
    B is bounded;
    hence thesis by RLTOPSP1:42,XBOOLE_1:17;
  end;
end;
