reserve a,b,c,x,y,z for object,X,Y,Z for set,
  n for Nat,
  i,j for Integer,
  r,r1,r2,r3,s for Real,
  c1,c2 for Complex,
  p for Point of TOP-REAL n;

theorem Th35:
  for p1, p2 being Point of TOP-REAL 2 holds
  |.p1.| = |.p2.| & Arg p1 = Arg p2 + 2*PI*i implies p1 = p2
  proof
    let p1, p2 be Point of T2;
    |.euc2cpx(p1).| = |.p1.| & |.euc2cpx(p2).| = |.p2.| by EUCLID_3:25;
    hence thesis by Th12,EUCLID_3:4;
  end;
