How to test that Python and the standard libaries are properly installed?

I'm sometimes sitting in front of a machine where I'm not sure whether Python with the standard libraries is fully installed: Frequent installing and uninstalling of stuff through the package manager (e.g. setup.exe for Cygwin) might have removed things which are necessary for use the of the standard library.

Is there an easily accessible Python script (separately for Python 2 and Python 3) which checks that interpreter and the standard libraries are properly installed?