code: def test_FreeGroupElm_comparison():
      assert not (x * y == y * x)
      assert x**0 == y**0
  
      assert x**2 < y**3
      assert not x**3 < y**2
      assert x * y < x**2 * y
      assert x**2 * y**2 < y**4
      assert not y**4 < y**-4
      assert not y**4 < x**-4
      assert y**-2 < y**2
  
      assert x**2 <= y**2
      assert x**2 <= x**2
  
      assert not y * z > z * y
      assert x > x**-1
  
      assert not x**2 >= y**2
  
imports: from sympy.combinatorics.free_groups import free_group, FreeGroup
  from sympy.core import Symbol
  from sympy.testing.pytest import raises
  from sympy.core.numbers import oo
label_desc: Use image node_id 17 for calling a global function with example usage: test_FreeGroupElm_comparison() without return types