diff --git a/stdlib/2.7/bisect.pyi b/stdlib/2.7/bisect.pyi
deleted file mode 100644
index 5d3f2e511..000000000
--- a/stdlib/2.7/bisect.pyi
+++ /dev/null
@@ -1,6 +0,0 @@
-def bisect(a: list, x: object, lo: int = ..., hi: int = ...) -> int: ...
-def bisect_left(a: list, x: object, lo: int = ..., hi: int = ...) -> int: ...
-def bisect_right(a: list, x: object, lo: int = ..., hi: int = ...) -> int: ...
-def insort_left(a: list, x: object, lo: int = ..., hi: int = ...) -> int: ...
-def insort_right(a: list, x: object, lo: int = ..., hi: int = ...) -> int: ...
-def insort(a: list, x: object, lo: int = ..., hi: int = ...) -> int: ...
diff --git a/stdlib/2and3/bisect.pyi b/stdlib/2and3/bisect.pyi
new file mode 100644
index 000000000..51ffc9b50
--- /dev/null
+++ b/stdlib/2and3/bisect.pyi
@@ -0,0 +1,22 @@
+# Stubs for bisect
+
+from typing import Any, Sequence, TypeVar
+
+_T = TypeVar('_T')
+
+# TODO uncomment when mypy#2035 is fixed
+#def bisect_left(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...) -> int: ...
+#def bisect_right(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...) -> int: ...
+#def bisect(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...) -> int: ...
+#
+#def insort_left(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...) -> int: ...
+#def insort_right(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...) -> int: ...
+#def insort(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...) -> int: ...
+
+def bisect_left(a: Sequence, x: Any, lo: int = ..., hi: int = ...) -> int: ...
+def bisect_right(a: Sequence, x: Any, lo: int = ..., hi: int = ...) -> int: ...
+def bisect(a: Sequence, x: Any, lo: int = ..., hi: int = ...) -> int: ...
+
+def insort_left(a: Sequence, x: Any, lo: int = ..., hi: int = ...) -> int: ...
+def insort_right(a: Sequence, x: Any, lo: int = ..., hi: int = ...) -> int: ...
+def insort(a: Sequence, x: Any, lo: int = ..., hi: int = ...) -> int: ...
diff --git a/stdlib/3/bisect.pyi b/stdlib/3/bisect.pyi
deleted file mode 100644
index 954cd70fb..000000000
--- a/stdlib/3/bisect.pyi
+++ /dev/null
@@ -1,12 +0,0 @@
-from typing import Sequence, TypeVar
-
-_T = TypeVar('_T')
-
-def insort_left(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...): pass
-def insort_right(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...): pass
-
-def bisect_left(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...): pass
-def bisect_right(a: Sequence[_T], x: _T, lo: int = ..., hi: int = ...): pass
-
-insort = insort_right
-bisect = bisect_right