reserve n for Element of NAT,
  i for Integer,
  a, b, r for Real,
  x for Point of TOP-REAL n;

theorem
  for n being non zero Element of NAT, r, s being positive Real,
      x, y being Point of TOP-REAL n holds
  Tcircle(x,r), Tcircle(y,s) are_homeomorphic
proof
  let n be non zero Element of NAT, r, s be positive Real, x, y be
  Point of TOP-REAL n;
A1: Tunit_circle(n), Tcircle(y,s) are_homeomorphic by Lm14;
  Tcircle(x,r), Tunit_circle(n) are_homeomorphic by Lm14;
  hence thesis by A1,BORSUK_3:3;
end;
