add doc example

doc/source/whatsnew/v0.20.0.txt

@@ -365,7 +365,7 @@ Other Enhancements
 - ``pandas.io.json.json_normalize()`` gained the option ``errors='ignore'|'raise'``; the default is ``errors='raise'`` which is backward compatible. (:issue:`14583`)
 - ``pandas.io.json.json_normalize()`` with an empty ``list`` will return an empty ``DataFrame`` (:issue:`15534`)
 - ``pandas.io.json.json_normalize()`` has gained a ``sep`` option that accepts ``str`` to separate joined fields; the default is ".", which is backward compatible. (:issue:`14883`)
-- A new function has been added to a ``MultiIndex`` to facilitate :ref:`Removing Unused Levels <advanced.shown_levels>`. (:issue:`15694`)
+- :func:`MultiIndex.remove_unused_levels` has been added to facilitate :ref:`removing unused levels <advanced.shown_levels>`. (:issue:`15694`)
 
 
 .. _ISO 8601 duration: https://en.wikipedia.org/wiki/ISO_8601#Durations
@@ -745,12 +745,14 @@ Sorting works as expected
     df.sort_index().index.is_lexsorted()
     df.sort_index().index.is_monotonic
 
-However, this example, which has a monotonic level, doesn't behave as desired.
+However, this example, which has a non-monotonic 2nd level,
+doesn't behave as desired.
 
 .. ipython:: python
-   df = pd.DataFrame({'value': [1, 2, 3, 4]},
-                      index=pd.MultiIndex(levels=[['a', 'b'], ['bb', 'aa']],
-                                         labels=[[0, 0, 1, 1], [0, 1, 0, 1]]))
+   df = pd.DataFrame(
+           {'value': [1, 2, 3, 4]},
+            index=pd.MultiIndex(levels=[['a', 'b'], ['bb', 'aa']],
+                                labels=[[0, 0, 1, 1], [0, 1, 0, 1]]))
 
 Previous Behavior:
 

pandas/indexes/multi.py

@@ -1235,6 +1235,23 @@ def remove_unused_levels(self):
         -------
         MultiIndex
 
+        Examples
+        --------
+        >>> i = MultiIndex.from_product([range(2), list('ab')])
+        MultiIndex(levels=[[0, 1], ['a', 'b']],
+                   labels=[[0, 0, 1, 1], [0, 1, 0, 1]])
+
+
+        >>> i[2:]
+        MultiIndex(levels=[[0, 1], ['a', 'b']],
+                   labels=[[1, 1], [0, 1]])
+
+        # the 0 from the first level is not represented
+        # and can be removed
+        >>> i[2:].remove_unused_levels()
+        MultiIndex(levels=[[1], ['a', 'b']],
+                   labels=[[0, 0], [0, 1]])
+
         """
 
         new_levels = []