diff -r aaf2ad84ae1c Lib/_collections_abc.py
--- a/Lib/_collections_abc.py	Thu Apr 28 14:47:33 2016 -0500
+++ b/Lib/_collections_abc.py	Tue May 03 14:19:50 2016 +0800
@@ -689,7 +689,7 @@
         except KeyError:
             return False
         else:
-            return v == value
+            return v is value or v == value
 
     def __iter__(self):
         for key in self._mapping:
@@ -704,7 +704,8 @@
 
     def __contains__(self, value):
         for key in self._mapping:
-            if value == self._mapping[key]:
+            v = self._mapping[key]
+            if v is value or v == value:
                 return True
         return False
 
@@ -839,7 +840,7 @@
 
     def __contains__(self, value):
         for v in self:
-            if v == value:
+            if v is value or v == value:
                 return True
         return False
 
diff -r aaf2ad84ae1c Lib/test/test_collections.py
--- a/Lib/test/test_collections.py	Thu Apr 28 14:47:33 2016 -0500
+++ b/Lib/test/test_collections.py	Tue May 03 14:19:50 2016 +0800
@@ -23,7 +23,7 @@
 from collections.abc import Hashable, Iterable, Iterator, Generator, Reversible
 from collections.abc import Sized, Container, Callable
 from collections.abc import Set, MutableSet
-from collections.abc import Mapping, MutableMapping, KeysView, ItemsView
+from collections.abc import Mapping, MutableMapping, KeysView, ItemsView, ValuesView
 from collections.abc import Sequence, MutableSequence
 from collections.abc import ByteString
 
@@ -1074,6 +1074,26 @@
         self.assertFalse(ncs > cs)
         self.assertTrue(ncs >= cs)
 
+    def test_issue(self):
+        # Container membership test should check identity first
+        class CustomEqualObject:
+            def __eq__(self, other):
+                return False
+        class CustomSequence(list):
+            def __contains__(self, value):
+                return Sequence.__contains__(self, value)
+
+        nan = float('nan')
+        obj = CustomEqualObject()
+        containers = [
+            CustomSequence([nan, obj]),
+            ItemsView({1: nan, 2: obj}),
+            ValuesView({1: nan, 2: obj})
+        ]
+        for container in containers:
+            for elem in container:
+                self.assertIn(elem, container)
+
     def assertSameSet(self, s1, s2):
         # coerce both to a real set then check equality
         self.assertSetEqual(set(s1), set(s2))