Until now, I was quite sure that the is operator acts the same as the id 
builtin function, or, to be more formal, that o1 is o2 to be exactly equivalent 
to id(o1) == id(o2). This equivalence is reported in many books, for instance 
Martelli's Python in a Nutshell.

But with the following code, I'm not still sure the equivalence above is 
correct. Here's the code :


#--------------------------------------------------------
class A(object):
    def f(self):
        print "A"

a=A()
print id(A.f) == id(a.f), A.f is a.f
#--------------------------------------------------------


outputing:

True False

So, could someone please explain what exactly the is operator returns ? The 
official doc says :

The ‘is‘ operator compares the identity of two objects; the id() function 
returns an integer representing its identity (currently implemented as its 
address).
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