You can do use combination of any, map and chain:
In [19]: example_list = [['aaa'], ['fff', 'gg'], ['ff'], ['', 'gg']]
In [20]: import operator, itertools
In [21]: any(map(operator.not_, itertools.chain(*example_list)))
Out[21]: True
In [22]: example_list = [['aaa'], ['fff', 'gg'], ['ff'], ['not empty', 'gg']]
In [23]: any(map(operator.not_, itertools.chain(*example_list)))
Out[23]: False