code: def test_empty_with_index(all_parsers):
      # see gh-10184
      data = "x,y"
      parser = all_parsers
      result = parser.read_csv(StringIO(data), index_col=0)
  
      expected = DataFrame(columns=["y"], index=Index([], name="x"))
      tm.assert_frame_equal(result, expected)
  
file_path: pandas/pandas/tests/io/parser/common/test_index.py
imports: from datetime import datetime
  from io import StringIO
  import os
  import pytest
  from pandas import DataFrame, Index, MultiIndex
  import pandas._testing
label_desc: Use image node_id 9 for calling a global function with example usage: test_empty_with_index(all_parsers) without return types