input: from typing import List
  
  
  def element_exists(elem, list_int: List[int]) -> bool:
      """ Check if a given element exists within a given list of integers.
      >>> element_exists(1, [1, 2, 3])
      True
      >>> element_exists(4, [1, 2, 3])
      False
      """
output:     return elem in list_int