reserve X for set;
reserve UN for Universe;

theorem Th62:
  for X being non empty set for x being object st x in X* holds
  ex n being Nat st x in n-tuples_on X
  proof
    let X be non empty set;
    let x be object;
    assume x in X*;
    then reconsider x as Element of X*;
    reconsider y = x as FinSequence of X;
    take len y;
    y is Element of (len y)-tuples_on X by FINSEQ_2:92;
    hence thesis;
  end;
