from typing import List


def str_in_list_non_case_sensitive(string: str, list_of_strings: List[str]) -> bool:
    """
    >>> str_in_list_non_case_sensitive('aba',['abc','cde'])
    False
    >>> str_in_list_non_case_sensitive('aBa',['abc','Aba'])
    True
    """
    string = string.lower()
    list_of_strings = [my_string.lower() for my_string in list_of_strings]
    if string in list_of_strings:
        return True
    else:
        return False