
theorem Th6:
  for x being Element of REAL 1 holds ex rx being Real st x = <*rx*>
  proof
    let x be Element of REAL 1;
    x is Element of TOP-REAL 1 by EUCLID:22;
    then consider rx be Real such that
A1: x = <*rx*> by JORDAN2B:20;
    thus thesis by A1;
  end;
