 reserve n,i,k,m for Nat;
 reserve p for Prime;
 reserve s, s1, s2 for Real_Sequence;

theorem
  (Partial_Sums Basel-seq).n >= 0
  proof
    for n being Nat holds Basel-seq.n >= 0
    proof
      let n be Nat;
      Basel-seq.n = 1 / (n^2) by BASEL_1:31;
      hence thesis;
    end;
    hence thesis by SERIES_3:34;
  end;
