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id node_id number title user state locked assignee milestone comments created_at updated_at ▲ closed_at author_association active_lock_reason draft pull_request body reactions performed_via_github_app state_reason repo type
955617411 MDU6SXNzdWU5NTU2MTc0MTE= 5646 Level names in multi-level index are ignored MaksimZh 688461 closed 0     3 2021-07-29T08:56:48Z 2022-09-27T12:34:21Z 2022-09-27T12:34:20Z NONE      

What happened: The difference of the level names in multi-level index is silently ignored.

What you expected to happen: Error message.

Minimal Complete Verifiable Example:

```python import xarray as xr

a = xr.DataArray([[1]], dims = ["x", "y"])

b = a.stack({"z": ["x", "y"]}) c = a.rename({"x": "not-x", "y": "not-y"}).stack({"z": ["not-x", "not-y"]})

xr.testing.assert_allclose(b, c) print(b == c, "\n") print(b.coords == c.coords, "\n") print(b + c, "\n") print(c + b, "\n") ```

Output: ``` <xarray.DataArray (z: 1)> array([ True]) Coordinates: * z (z) MultiIndex - x (z) int64 0 - y (z) int64 0

True

<xarray.DataArray (z: 1)> array([2]) Coordinates: * z (z) MultiIndex - x (z) int64 0 - y (z) int64 0

<xarray.DataArray (z: 1)> array([2]) Coordinates: * z (z) MultiIndex - not-x (z) int64 0 - not-y (z) int64 0

```

Environment:

Output of <tt>xr.show_versions()</tt> INSTALLED VERSIONS ------------------ commit: None python: 3.9.1 (tags/v3.9.1:1e5d33e, Dec 7 2020, 17:08:21) [MSC v.1927 64 bit (AMD64)] python-bits: 64 OS: Windows OS-release: 10 machine: AMD64 processor: Intel64 Family 6 Model 165 Stepping 5, GenuineIntel byteorder: little LC_ALL: None LANG: ru_RU.UTF-8 LOCALE: ('Russian_Russia', '1251') libhdf5: 1.12.0 libnetcdf: None xarray: 0.18.2 pandas: 1.3.0 numpy: 1.21.1 scipy: 1.6.0 netCDF4: None pydap: None h5netcdf: None h5py: 3.1.0 Nio: None zarr: None cftime: None nc_time_axis: None PseudoNetCDF: None rasterio: None cfgrib: None iris: None bottleneck: None dask: None distributed: None matplotlib: 3.4.2 cartopy: None seaborn: None numbagg: None pint: None setuptools: 57.4.0 pip: 21.1.3 conda: None pytest: None IPython: None sphinx: None 
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   completed xarray 13221727 issue

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