inherit from file and create stdout instance?

[MisterPete]

How can I inherit from file but stil create an instance that writes to stdout?
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I'm writing a file-like object that has verbosity options (among some other things). I know I could just set self.file to a file object rather than inheriting from file. I started with something like this (simplified for clarity):

class Output(object):
    def __init__(self, file=sys.stdout, verbosity=1):
        self.verbosity = verbosity
        self.file = file
 
    def write(self, string, messageVerbosity=1):
        if messageVerbosity <= self.verbosity:
            self.file.write(string)
...
 
but it is frustrating me that if I try to inherit from file it works fine for regular files but I can't figure out a clean way to instantiate an object that writes to stdout using sys.stdout. something like the following:
 
class Output(file):
    def __init__(self, name, mode='w', buffering=None, verbosity=1):
        super(Output, self).__init__(name, mode, buffering)
        self.verbosity = 1
 
    def write(self, string, messageVerbosity=1):
        if messageVerbosity <= self.verbosity
            super(Output, self).write(string)

...

I hope that's clear. Is it just a bad idea to inherit from file to create a class to write to stdout or am I missing something? Any insight is appreciated.

Thanks,
Pete