Currently the documentation for argparse.ArgumentParser states that the default value of the prog[ram] argument is argv[0], however, this does not match the actual behaviour of the constructor. In reality, the constructor uses the basename of argv[0], as can be seen in the code here: https://github.com/python/cpython/blob/e800dd1793dafbc4114da744f605731ff6630623/Lib/argparse.py#L1733-L1735

Here is a demo:

/tmp » cat test.py
import argparse

ap = argparse.ArgumentParser()
print(ap.prog)
ap.print_usage()
/tmp » python test.py
test.py
usage: test.py [-h]
/tmp » python ./test.py
test.py
usage: test.py [-h]
/tmp » mkdir test
/tmp » cd test
/tmp/test » python ../test.py
test.py
usage: test.py [-h]

Thank you for the PR.