
theorem
  for T being non empty TopSpace, t being Point of T, x being Point of
  I[01], P being constant Loop of t holds P.x = t
proof
  let T be non empty TopSpace, t be Point of T, x be Point of I[01], P be
  constant Loop of t;
  P = I[01] --> t by BORSUK_2:5;
  hence thesis;
end;
