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
  (for n holds |.seq.|.n>0) & (ex m st for n st n>=m holds |.seq.|.(n+1)
  /|.seq.|.n >= 1) implies not seq is absolutely_summable by SERIES_1:27;
