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

theorem Th26:
  for p being Point of Tunit_circle(2), x being Point of TOP-REAL
2 st x is Point of Topen_unit_circle(p) holds -1 <= x`1 & x`1 <= 1 & -1 <= x`2
  & x`2 <= 1
proof
  let p be Point of Tunit_circle(2), x be Point of TOP-REAL 2;
  assume x is Point of Topen_unit_circle(p);
  then
A1: x in the carrier of Topen_unit_circle(p);
  the carrier of Topen_unit_circle(p) is Subset of cS1 by TSEP_1:1;
  hence thesis by A1,Th13;
end;
