diff --git a/Lib/test/test_contains.py b/Lib/test/test_contains.py
index e570787..39c61bd 100644
--- a/Lib/test/test_contains.py
+++ b/Lib/test/test_contains.py
@@ -1,3 +1,4 @@
+from collections import deque
 from test.support import run_unittest
 import unittest
 
@@ -6,7 +7,7 @@
     def __init__(self, el):
         self.el = el
 
-class set(base_set):
+class myset(base_set):
     def __contains__(self, el):
         return self.el == el
 
@@ -17,7 +18,7 @@
 class TestContains(unittest.TestCase):
     def test_common_tests(self):
         a = base_set(1)
-        b = set(1)
+        b = myset(1)
         c = seq(1)
         self.assert_(1 in b)
         self.assert_(0 not in b)
@@ -80,6 +81,25 @@
         except TypeError:
             pass
 
+    def test_nonreflexive(self):
+        # containment and equality tests involving elements that are
+        # not necessarily equal to themselves
+
+        class MyNonReflexive(object):
+            def __eq__(self, other):
+                return False
+            def __hash__(self):
+                return 28
+
+        values = float('nan'), 1, None, 'abc', MyNonReflexive()
+        constructors = list, tuple, dict.fromkeys, set, frozenset, deque
+        for constructor in constructors:
+            container = constructor(values)
+            for elem in container:
+                self.assert_(elem in container)
+            self.assert_(container == constructor(values))
+            self.assert_(container == container)
+
 
 def test_main():
     run_unittest(TestContains)
diff --git a/Lib/test/test_float.py b/Lib/test/test_float.py
index 4f8446a..2d3b357 100644
--- a/Lib/test/test_float.py
+++ b/Lib/test/test_float.py
@@ -117,6 +117,33 @@
         self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
         self.assertRaises(ValueError, float('nan').as_integer_ratio)
 
+    def test_float_containment(self):
+        floats = (INF, -INF, 0.0, 1.0, NAN)
+        for f in floats:
+            self.assert_(f in [f], "'%r' not in []" % f)
+            self.assert_(f in (f,), "'%r' not in ()" % f)
+            self.assert_(f in {f}, "'%r' not in set()" % f)
+            self.assert_(f in {f: None}, "'%r' not in {}" % f)
+            self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f)
+            self.assert_(f in floats, "'%r' not in container" % f)
+
+        for f in floats:
+            # nonidentical containers, same type, same contents
+            self.assert_([f] == [f], "[%r] != [%r]" % (f, f))
+            self.assert_((f,) == (f,), "(%r,) != (%r,)" % (f, f))
+            self.assert_({f} == {f}, "{%r} != {%r}" % (f, f))
+            self.assert_({f : None} == {f: None}, "{%r : None} != "
+                                                   "{%r : None}" % (f, f))
+
+            # identical containers
+            l, t, s, d = [f], (f,), {f}, {f: None}
+            self.assert_(l == l, "[%r] not equal to itself" % f)
+            self.assert_(t == t, "(%r,) not equal to itself" % f)
+            self.assert_(s == s, "{%r} not equal to itself" % f)
+            self.assert_(d == d, "{%r : None} not equal to itself" % f)
+
+
+
 class FormatFunctionsTestCase(unittest.TestCase):
 
     def setUp(self):
diff --git a/Misc/NEWS b/Misc/NEWS
index ecc808f..035867c 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -13,6 +13,10 @@
 Core and Builtins
 -----------------
 
+- Issue #4296: Fix PyObject_RichCompareBool so that "x in [x]" evaluates to
+  True, even when x doesn't compare equal to itself.  This was a regression
+  from 2.6.
+
 - Issue #3705: Command-line arguments were not correctly decoded when the
   terminal does not use UTF8.
 
diff --git a/Objects/object.c b/Objects/object.c
index cdbceaf..2c43221 100644
--- a/Objects/object.c
+++ b/Objects/object.c
@@ -687,6 +687,15 @@
 	PyObject *res;
 	int ok;
 
+	/* Quick result when objects are the same.
+	   Guarantees that identity implies equality. */
+	if (v == w) {
+		if (op == Py_EQ)
+			return 1;
+		else if (op == Py_NE)
+			return 0;
+	}
+
 	res = PyObject_RichCompare(v, w, op);
 	if (res == NULL)
 		return -1;