reserve i,j for Element of NAT,
  x,y,z for FinSequence of COMPLEX,
  c for Element of COMPLEX,
  R,R1,R2 for Element of i-tuples_on COMPLEX;

theorem
  for z being FinSequence of COMPLEX holds (-z)*' = -(z*')
proof
  let z be FinSequence of COMPLEX;
  thus (-z)*'= ((-1r)*')*(z*') by Th13,COMPLEX1:def 4
    .= -z*' by COMPLEX1:30,33,def 4;
end;
