input: from typing import List
  
  
  def element_exists(elem: int, list_int: List[int]) -> bool:
      """ Check if a given element exists within a list of integers.
      >>> element_exists(5, [1, 2, 3, 4])
      False
      >>> element_exists(3, [1, 2, 3, 4, 5])
      True
      """
output:     return elem in list_int