reserve f for Function;
reserve n,k,n1 for Nat;
reserve r,p for Real;
reserve x,y,z for object;
reserve seq,seq1,seq2,seq3,seq9,seq19 for Real_Sequence;

theorem
  r(#)(seq1/"seq)=(r(#)seq1)/"seq
proof
  thus r(#)(seq1/"seq)= r(#)(seq1(#)(seq")) .= (r(#)seq1)/"seq by Th18;
end;
