diff --git a/rq/compat.py b/rq/compat.py
index 6d02402..a10576f 100644
--- a/rq/compat.py
+++ b/rq/compat.py
@@ -16,17 +16,17 @@ else:
     def total_ordering(cls):  # noqa
         """Class decorator that fills in missing ordering methods"""
         convert = {
-            '__lt__': [('__gt__', lambda self, other: not (self < other or self == other)),  # noqa
-                    ('__le__', lambda self, other: self < other or self == other),  # noqa
+            '__lt__': [('__gt__', lambda self, other: other < self),
+                    ('__le__', lambda self, other: not other < self),
                     ('__ge__', lambda self, other: not self < other)],
-            '__le__': [('__ge__', lambda self, other: not self <= other or self == other),  # noqa
-                    ('__lt__', lambda self, other: self <= other and not self == other),  # noqa
+            '__le__': [('__ge__', lambda self, other: other <= self),
+                    ('__lt__', lambda self, other: not other <= self),
                     ('__gt__', lambda self, other: not self <= other)],
-            '__gt__': [('__lt__', lambda self, other: not (self > other or self == other)),  # noqa
-                    ('__ge__', lambda self, other: self > other or self == other),  # noqa
+            '__gt__': [('__lt__', lambda self, other: other > self),
+                    ('__ge__', lambda self, other: not other > self),
                     ('__le__', lambda self, other: not self > other)],
-            '__ge__': [('__le__', lambda self, other: (not self >= other) or self == other),  # noqa
-                    ('__gt__', lambda self, other: self >= other and not self == other),  # noqa
+            '__ge__': [('__le__', lambda self, other: other >= self),
+                    ('__gt__', lambda self, other: not other >= self),
                     ('__lt__', lambda self, other: not self >= other)]
         }
         roots = set(dir(cls)) & set(convert)