diff --git a/stdlib/2/__builtin__.pyi b/stdlib/2/__builtin__.pyi
index 64ab6902f..0c476cec7 100644
--- a/stdlib/2/__builtin__.pyi
+++ b/stdlib/2/__builtin__.pyi
@@ -732,6 +732,12 @@ def map(func: Callable[[_T1, _T2], _S],
         iter1: Iterable[_T1],
         iter2: Iterable[_T2]) -> List[_S]: ...  # TODO more than two iterables
 @overload
+def map(func: None, iter1: Iterable[_T1]) -> List[_T1]: ...
+@overload
+def map(func: None,
+        iter1: Iterable[_T1],
+        iter2: Iterable[_T2]) -> List[Tuple[_T1, _T2]]: ...  # TODO more than two iterables
+@overload
 def max(arg1: _T, arg2: _T, *args: _T, key: Callable[[_T], Any] = ...) -> _T: ...
 @overload
 def max(iterable: Iterable[_T], key: Callable[[_T], Any] = ...) -> _T: ...