theorem
  for p being Point of TOP-REAL 2 holds
  p = cpx2euc(|.p.|*cos(Arg p) + |.p.|*sin(Arg p)*<i>)
  proof
    let p be Point of T2;
    set c = euc2cpx(p);
A1: c = |.c.|*cos(Arg c) + |.c.|*sin(Arg c)*<i> by COMPTRIG:62;
    |.c.| = |.p.| by EUCLID_3:25;
    hence thesis by A1,EUCLID_3:2;
  end;
