BUG: `NotImplementedError: eq not implemented for <class 'range'>` when comparing `columns` and `range` in pandas 3.0.0rc0

[harupy]

Pandas version checks

• I have checked that this issue has not already been reported.

• I have confirmed this bug exists on the latest version of pandas.

• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

I'm not sure if this is really a bug.

% uv run --python=3.11 --no-project --with 'pandas==3.0.0rc0' --with pyarrow python -c '
import pandas as pd

df = pd.DataFrame({"a": [0, 1], "b": [2, 3]})

print(df.columns == range(len(df.columns)))
'

Issue Description

Traceback (most recent call last):
  File "/Users/harutaka.kawamura/Desktop/repositories/mlflow/foo/a.py", line 7, in <module>
    print(df.columns == range(len(df.columns)))
          ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/ops/common.py", line 85, in new_method
    return method(self, other)
           ^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/arraylike.py", line 41, in __eq__
    return self._cmp_method(other, operator.eq)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/indexes/base.py", line 7288, in _cmp_method
    result = ops.comparison_op(self._values, other, op)
             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/ops/array_ops.py", line 337, in comparison_op
    res_values = op(lvalues, rvalues)
                 ^^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/ops/common.py", line 85, in new_method
    return method(self, other)
           ^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/arraylike.py", line 41, in __eq__
    return self._cmp_method(other, operator.eq)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/arrays/string_arrow.py", line 535, in _cmp_method
    result = super()._cmp_method(other, op)
             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/Users/harutaka.kawamura/.cache/uv/archive-v0/Gd1lfpovo-nwuQAEfDra9/lib/python3.11/site-packages/pandas/core/arrays/arrow/array.py", line 950, in _cmp_method
    raise NotImplementedError(
NotImplementedError: eq not implemented for <class 'range'>

Expected Behavior

No error

Installed Versions

Details

INSTALLED VERSIONS
------------------
commit                : 1a3230dc5be4c87b8356765ea3b6568d37cb82fd
python                : 3.11.9
python-bits           : 64
OS                    : Darwin
OS-release            : 24.6.0
Version               : Darwin Kernel Version 24.6.0: Mon Aug 11 21:16:34 PDT 2025; root:xnu-11417.140.69.701.11~1/RELEASE_ARM64_T6020
machine               : arm64
processor             : arm
byteorder             : little
LC_ALL                : None
LANG                  : ja_JP.UTF-8
LOCALE                : ja_JP.UTF-8

pandas                : 3.0.0rc0
numpy                 : 2.3.5
dateutil              : 2.9.0.post0
pip                   : 24.1.2
Cython                : None
sphinx                : None
IPython               : None
adbc-driver-postgresql: None
adbc-driver-sqlite    : None
bs4                   : None
bottleneck            : None
fastparquet           : None
fsspec                : None
html5lib              : None
hypothesis            : None
gcsfs                 : None
jinja2                : None
lxml.etree            : None
matplotlib            : None
numba                 : None
numexpr               : None
odfpy                 : None
openpyxl              : None
psycopg2              : None
pymysql               : None
pyarrow               : 22.0.0
pyiceberg             : None
pyreadstat            : None
pytest                : None
python-calamine       : None
pytz                  : None
pyxlsb                : None
s3fs                  : None
scipy                 : None
sqlalchemy            : None
tables                : None
tabulate              : None
xarray                : None
xlrd                  : None
xlsxwriter            : None
zstandard             : None
qtpy                  : None
pyqt5                 : None

[harupy]

% uv run --python=3.11 --no-project --with 'pandas<3.0.0rc0' --with pyarrow python -c '
import pandas as pd

df = pd.DataFrame({"a": [0, 1], "b": [2, 3]})

print(df.columns == range(len(df.columns)))
'

works fine (note pandas<3.0.0rc0)