reserve rseq, rseq1, rseq2 for Real_Sequence;
reserve seq, seq1, seq2 for Complex_Sequence;
reserve k, n, n1, n2, m for Nat;
reserve p, r for Real;
reserve z for Complex;
reserve Nseq,Nseq1 for increasing sequence of NAT;

theorem Th62:
  seq is summable iff for p st 0<p holds ex n st for m st n <= m
  holds |.Partial_Sums(seq).m-Partial_Sums(seq).n.|<p by Th46;
