Fix wording for comparison operators.

spec/2021.12/API_specification/array_object.rst

@@ -170,7 +170,8 @@ A conforming implementation of the array API standard must provide and support a
     -   `operator.ne(x1, x2) <https://docs.python.org/3/library/operator.html#operator.ne>`_
     -   `operator.__ne__(x1, x2) <https://docs.python.org/3/library/operator.html#operator.__ne__>`_
 
-Comparison operators should be defined for arrays having any data type.
+:meth:`.array.__lt__`, :meth:`.array.__le__`, :meth:`.array.__gt__`, :meth:`.array.__ge__` are only defined for arrays having real-valued data types. Other comparison operators should be defined for arrays having any data type.
+For backward compatibility, conforming implementations may support complex numbers; however, inequality comparison of complex numbers is unspecified and thus implementation-dependent. 
 
 In-place Operators
 ~~~~~~~~~~~~~~~~~~

spec/2022.12/API_specification/array_object.rst

@@ -163,7 +163,8 @@ A conforming implementation of the array API standard must provide and support a
     -   `operator.ne(x1, x2) <https://docs.python.org/3/library/operator.html#operator.ne>`_
     -   `operator.__ne__(x1, x2) <https://docs.python.org/3/library/operator.html#operator.__ne__>`_
 
-Comparison operators should be defined for arrays having any data type.
+:meth:`.array.__lt__`, :meth:`.array.__le__`, :meth:`.array.__gt__`, :meth:`.array.__ge__` are only defined for arrays having real-valued data types. Other comparison operators should be defined for arrays having any data type.
+For backward compatibility, conforming implementations may support complex numbers; however, inequality comparison of complex numbers is unspecified and thus implementation-dependent (see :ref:`complex-number-ordering`). 
 
 In-place Operators
 ~~~~~~~~~~~~~~~~~~

spec/draft/API_specification/array_object.rst

@@ -163,7 +163,8 @@ A conforming implementation of the array API standard must provide and support a
     -   `operator.ne(x1, x2) <https://docs.python.org/3/library/operator.html#operator.ne>`_
     -   `operator.__ne__(x1, x2) <https://docs.python.org/3/library/operator.html#operator.__ne__>`_
 
-Comparison operators should be defined for arrays having any data type.
+:meth:`.array.__lt__`, :meth:`.array.__le__`, :meth:`.array.__gt__`, :meth:`.array.__ge__` are only defined for arrays having real-valued data types. Other comparison operators should be defined for arrays having any data type.
+For backward compatibility, conforming implementations may support complex numbers; however, inequality comparison of complex numbers is unspecified and thus implementation-dependent (see :ref:`complex-number-ordering`). 
 
 In-place Operators
 ~~~~~~~~~~~~~~~~~~