I can't believe this issue was closed. Why can't Counter.__lt__(self, other) just be all(self[i] < other[i] for i in self)? 

Just because Counter supports weird stuff shouldn't bill it out. To follow that logic, we should also remove Counter.subtract

>>> Counter(a='b') - Counter(a='c')
Traceback (most recent call last):
  File "<ipython-input-5-31b2df7f8ff1>", line 1, in <module>
    Counter(a='b') - Counter(a='c')
  File "/Users/aaronmeurer/anaconda/lib/python3.5/collections/__init__.py", line 709, in __sub__
    newcount = count - other[elem]
TypeError: unsupported operand type(s) for -: 'str' and 'str'

It's super annoying that Counter supports all the basic set operations *except* subset. A reminder that this *does* work:

>>> Counter(a=2) | Counter(a=1)
Counter({'a': 2})

And also fails on weird values:

>>> Counter(a='b') | Counter(a='c')
Traceback (most recent call last):
  File "<ipython-input-8-f9768ad92117>", line 1, in <module>
    Counter(a='b') | Counter(a='c')
  File "/Users/aaronmeurer/anaconda/lib/python3.5/collections/__init__.py", line 730, in __or__
    if newcount > 0:
TypeError: unorderable types: str() > int()