input: Write a function to check if a given element exists within a list of integers. If the element exists in the list, return True; otherwise, return False. If the input list is empty, return False.
  
  def element_exists(elem, list_int):
      return elem in list_int
  
  assert element_exists(5, [2, 3, 5, 7, 11])==True
  assert element_exists(7, [1, 3, 5, 7, 9])==True
  assert element_exists(10, [1, 3, 5, 7, 9])==False
  assert element_exists(3, [1, 2, 3, 4, 5])==True
  assert element_exists(6, [])==False
output: def element_exists(elem, list_int):
      return elem in list_int