reserve z,z1,z2 for Complex;
reserve r,x1,x2 for Real;
reserve p0,p,p1,p2,p3,q for Point of TOP-REAL 2;

theorem
  for z1,z2 st cpx2euc(z1)=cpx2euc(z2) holds z1=z2
proof
  let z1,z2;
  assume
A1: cpx2euc(z1)=cpx2euc(z2);
  z2 = euc2cpx(cpx2euc(z2)) by Th1;
  hence thesis by A1,Th1;
end;
