theorem Th24:
  for n,k holds
  {f where f is Function of Segm  n,Segm k:f is onto "increasing} is finite
proof
  let n,k;
  defpred P[Function of Segm n,Segm k] means $1 is onto "increasing;
  {f where f is Function of Segm n,Segm k:P[f]} is finite from Sch1;
  hence thesis;
end;
