reserve f for Function;
reserve n,k,n1 for Element of NAT;
reserve r,p for Complex;
reserve x,y for set;
reserve seq,seq1,seq2,seq3,seq9,seq19 for Complex_Sequence;

theorem
  1r(#)seq=seq
proof
  now
    let n;
    thus (1r(#)seq).n=1r*seq.n by VALUED_1:6
      .=seq.n;
  end;
  hence thesis by FUNCT_2:63;
end;
