reserve n,m,k,k1,k2 for Nat;
reserve r,r1,r2,s,t,p for Real;
reserve seq,seq1,seq2 for Real_Sequence;
reserve x,y for set;

theorem Th33:
  seq is bounded implies for n for R being Subset of REAL st R = {
  seq.k : n <= k} holds R is real-bounded
by Th31,Th32;
