bpo-43162: [Enum] deprecate enum member.member access (GH-24486)

In 3.5 (?) a speed optimization made it possible to access members as
attributes of other members, i.e. ``Color.RED.BLUE``.  This was always
discouraged in the docs, and other recent optimizations has made that
one no longer necessary.  Because some may be relying on it anyway, it
is being deprecated in 3.10, and will be removed in 3.11.
diff --git a/Lib/test/test_enum.py b/Lib/test/test_enum.py
index 96de878..3982d1d 100644
--- a/Lib/test/test_enum.py
+++ b/Lib/test/test_enum.py
@@ -2185,6 +2185,29 @@ class Private(Enum):
         self.assertEqual(Private._Private__corporal, 'Radar')
         self.assertEqual(Private._Private__major_, 'Hoolihan')
 
+    @unittest.skipUnless(
+            sys.version_info[:2] == (3, 10),
+            'member-member access now raises an exception',
+            )
+    def test_warning_for_member_from_member_access(self):
+        with self.assertWarns(DeprecationWarning):
+            class Di(Enum):
+                YES = 1
+                NO = 0
+            nope = Di.YES.NO
+        self.assertIs(Di.NO, nope)
+
+    @unittest.skipUnless(
+            sys.version_info[:2] > (3, 10),
+            'member-member access currently issues a warning',
+            )
+    def test_exception_for_member_from_member_access(self):
+        with self.assertRaisesRegex(AttributeError, "Di: no instance attribute .NO."):
+            class Di(Enum):
+                YES = 1
+                NO = 0
+            nope = Di.YES.NO
+
     def test_strenum_auto(self):
         class Strings(StrEnum):
             ONE = auto()