reserve m,n,i,i2,j for Nat,
  r,r1,r2,s,t for Real,
  x,y,z for object;
reserve p,p1,p2,p3,q,q1,q2,q3,q4 for Point of TOP-REAL n;
reserve u for Point of Euclid n;

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;
