What does this mean?

[Mekire]

0 == False evaluates to True because 0, None and an empty value in Python are False.

This isn't quite correct.  0 and False are the same value (not the same object).  False is technically a Boolean type but it is indistinguishable from 0 for all practical purposes.

None and empty sequences on the other hand are falsey values, but they are not equal to False (or 0).

>>> 0 == False
True
>>> None == False
False
>>> () == False
False
>>>