input: 
  from typing import List, TypeVar
  
  T = TypeVar('T')
  
  
  def element_exists(elem: T, list_int: List[T]) -> bool:
      """
      Check if a given element exists within a provided list of integers.
      >>> element_exists(3, [1, 2, 3, 4, 5])
      True
      >>> element_exists(6, [1, 2, 3, 4, 5])
      False
      """
      return elem in list_int
  
output:     return elem in list_int