theorem Th22:
  n>=1 implies not [#](TOP-REAL n) is bounded
proof
  assume
A1: n>=1;
  assume [#](TOP-REAL n) is bounded;
  then reconsider C=[#](TOP-REAL n) as bounded Subset of Euclid n by Th5;
  C=REAL n by EUCLID:22;
  hence contradiction by A1,Th20;
end;
