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
  p>1 & (for n st n>=1 holds |.seq.|.n = 1/n to_power p) implies seq is
  absolutely_summable
by SERIES_1:32;
