reserve a,b,i,j,k,l,m,n for Nat;

theorem :: POLYNOM3:18:
  for f be nonnegative-yielding real-valued FinSequence holds
    i >= j implies Sum (f|i) >= Sum (f|j)
  proof
    let f be nonnegative-yielding real-valued FinSequence;
    assume i >= j; then
    Sum (f|i|j) = Sum (f|j) by FINSEQ_1:82;
    hence thesis by SF;
  end;
