reserve a,b,c,d for Real;
reserve z,z1,z2 for Complex;

theorem Th36:
  z"*' = z*'"
proof
A1: Re z = Re (z*') & -Im z = Im (z*') by Th27;
  thus Re(z"*') = Re(z") by Th27
    .= Re z / ((Re z)^2+(Im z)^2) by Th20
    .= (Re (z*')) / ((Re (z*'))^2+(Im (z*'))^2) by A1
    .= Re(z*'") by Th20;

  thus Im(z"*') = -Im(z") by Th27
    .= -((- Im z) / ((Re z)^2+(Im z)^2)) by Th20
    .= (-Im (z*'))/((Re (z*'))^2+(Im (z*'))^2) by A1,XCMPLX_1:187
    .= Im(z*'") by Th20;
end;
