Python word sorter: multi-file, supports subdirectories, no loops

sort-words.py

#!/usr/bin/env python3
# Sorts words each on its own line, on any number of files

from pathlib import Path
import timeit


def sorter():
    files = list(filter(lambda x: x.is_file(), Path('.').rglob('*')))

    words = list(map(lambda x: x.read_text(), files))
    unique_words = set(''.join(words).split())

    sorted_words = sorted(unique_words, key=str.lower)

    word_string = '\n'.join(sorted_words)

    filepath = Path('output.txt')
    filepath.write_text(word_string)


if __name__ == "__main__":
    sorter()
    
# Could've just used `find . -type f | xargs sort -fu > output.txt` smh my head