diff --git a/stdlib/2.7/__builtin__.pyi b/stdlib/2.7/__builtin__.pyi
index 17a0789d1..bdbb42a4f 100644
--- a/stdlib/2.7/__builtin__.pyi
+++ b/stdlib/2.7/__builtin__.pyi
@@ -581,7 +581,14 @@ class frozenset(AbstractSet[_T], Generic[_T]):
     def __init__(self) -> None: ...
     @overload
     def __init__(self, iterable: Iterable[_T]) -> None: ...
+    def copy(self) -> frozenset[_T]: ...
+    def difference(self, s: AbstractSet[Any]) -> frozenset[_T]: ...
+    def intersection(self, s: AbstractSet[Any]) -> frozenset[_T]: ...
     def isdisjoint(self, s: AbstractSet[_T]) -> bool: ...
+    def issubset(self, s: AbstractSet[Any]) -> bool: ...
+    def issuperset(self, s: AbstractSet[Any]) -> bool: ...
+    def symmetric_difference(self, s: AbstractSet[_T]) -> frozenset[_T]: ...
+    def union(self, s: AbstractSet[_T]) -> frozenset[_T]: ...
     def __len__(self) -> int: ...
     def __contains__(self, o: object) -> bool: ...
     def __iter__(self) -> Iterator[_T]: ...
@@ -590,7 +597,10 @@ class frozenset(AbstractSet[_T], Generic[_T]):
     def __or__(self, s: AbstractSet[_S]) -> frozenset[Union[_T, _S]]: ...
     def __sub__(self, s: AbstractSet[_T]) -> frozenset[_T]: ...
     def __xor__(self, s: AbstractSet[_S]) -> frozenset[Union[_T, _S]]: ...
-    # TODO more set operations
+    def __le__(self, s: AbstractSet[Any]) -> bool: ...
+    def __lt__(self, s: AbstractSet[Any]) -> bool: ...
+    def __ge__(self, s: AbstractSet[Any]) -> bool: ...
+    def __gt__(self, s: AbstractSet[Any]) -> bool: ...
 
 class enumerate(Iterator[Tuple[int, _T]], Generic[_T]):
     def __init__(self, iterable: Iterable[_T], start: int = 0) -> None: ...