reserve z,z1,z2,z3,z4 for Element of F_Complex;

theorem
  |.z1 - z2.| = |.z2 - z1.|
proof
  reconsider z19=z1,z29=z2 as Element of COMPLEX by Def1;
  z29 - z19 = z2 - z1 & z19 - z29 = z1 - z2 by Th3;
  hence thesis by COMPLEX1:60;
end;
