reserve k, m, n, p, K, N for Nat;
reserve i for Integer;
reserve x, y, eps for Real;
reserve seq, seq1, seq2 for Real_Sequence;
reserve sq for FinSequence of REAL;

theorem Th3:
  cseq(n).k=bseq(k).n
proof
  thus cseq(n).k = (n choose k)*(n ^ (-k)) by Def3
    .= bseq(k).n by Def2;
end;
