diff --git a/stdlib/2/os/path.pyi b/stdlib/2/os/path.pyi
index 73c14de70..76a4c4b8d 100644
--- a/stdlib/2/os/path.pyi
+++ b/stdlib/2/os/path.pyi
@@ -5,6 +5,7 @@
 import os
 import sys
 from typing import overload, List, Any, AnyStr, Sequence, Tuple, TypeVar, Union, Text, Callable, Optional
+from genericpath import exists as exists
 
 _T = TypeVar('_T')
 
@@ -100,10 +101,6 @@ elif sys.version_info >= (3, 5):
 # So, fall back to Any
 def commonprefix(m: Sequence[_PathType]) -> Any: ...
 
-if sys.version_info >= (3, 3):
-    def exists(path: Union[_PathType, int]) -> bool: ...
-else:
-    def exists(path: _PathType) -> bool: ...
 def lexists(path: _PathType) -> bool: ...
 
 # These return float if os.stat_float_times() == True,
diff --git a/stdlib/2/os2emxpath.pyi b/stdlib/2/os2emxpath.pyi
index 73c14de70..76a4c4b8d 100644
--- a/stdlib/2/os2emxpath.pyi
+++ b/stdlib/2/os2emxpath.pyi
@@ -5,6 +5,7 @@
 import os
 import sys
 from typing import overload, List, Any, AnyStr, Sequence, Tuple, TypeVar, Union, Text, Callable, Optional
+from genericpath import exists as exists
 
 _T = TypeVar('_T')
 
@@ -100,10 +101,6 @@ elif sys.version_info >= (3, 5):
 # So, fall back to Any
 def commonprefix(m: Sequence[_PathType]) -> Any: ...
 
-if sys.version_info >= (3, 3):
-    def exists(path: Union[_PathType, int]) -> bool: ...
-else:
-    def exists(path: _PathType) -> bool: ...
 def lexists(path: _PathType) -> bool: ...
 
 # These return float if os.stat_float_times() == True,
diff --git a/stdlib/2and3/genericpath.pyi b/stdlib/2and3/genericpath.pyi
index e0b1c6de2..aba0788a5 100644
--- a/stdlib/2and3/genericpath.pyi
+++ b/stdlib/2and3/genericpath.pyi
@@ -1,12 +1,15 @@
-from typing import Sequence, AnyStr, Text
+from typing import Sequence, AnyStr, Text, Union
 import sys
 
 if sys.version_info >= (3, 0):
     def commonprefix(m: Sequence[str]) -> str: ...
 else:
     def commonprefix(m: Sequence[AnyStr]) -> AnyStr: ...
-
-def exists(path: Text) -> bool: ...
+if sys.version_info >= (3, 6):
+    from os import PathLike
+    def exists(path: Union[AnyStr, PathLike[AnyStr]]) -> bool: ...
+else:
+    def exists(path: Text) -> bool: ...
 def isfile(path: Text) -> bool: ...
 def isdir(s: Text) -> bool: ...
 def getsize(filename: Text) -> int: ...
diff --git a/stdlib/2and3/ntpath.pyi b/stdlib/2and3/ntpath.pyi
index 73c14de70..76a4c4b8d 100644
--- a/stdlib/2and3/ntpath.pyi
+++ b/stdlib/2and3/ntpath.pyi
@@ -5,6 +5,7 @@
 import os
 import sys
 from typing import overload, List, Any, AnyStr, Sequence, Tuple, TypeVar, Union, Text, Callable, Optional
+from genericpath import exists as exists
 
 _T = TypeVar('_T')
 
@@ -100,10 +101,6 @@ elif sys.version_info >= (3, 5):
 # So, fall back to Any
 def commonprefix(m: Sequence[_PathType]) -> Any: ...
 
-if sys.version_info >= (3, 3):
-    def exists(path: Union[_PathType, int]) -> bool: ...
-else:
-    def exists(path: _PathType) -> bool: ...
 def lexists(path: _PathType) -> bool: ...
 
 # These return float if os.stat_float_times() == True,
diff --git a/stdlib/2and3/posixpath.pyi b/stdlib/2and3/posixpath.pyi
index 73c14de70..76a4c4b8d 100644
--- a/stdlib/2and3/posixpath.pyi
+++ b/stdlib/2and3/posixpath.pyi
@@ -5,6 +5,7 @@
 import os
 import sys
 from typing import overload, List, Any, AnyStr, Sequence, Tuple, TypeVar, Union, Text, Callable, Optional
+from genericpath import exists as exists
 
 _T = TypeVar('_T')
 
@@ -100,10 +101,6 @@ elif sys.version_info >= (3, 5):
 # So, fall back to Any
 def commonprefix(m: Sequence[_PathType]) -> Any: ...
 
-if sys.version_info >= (3, 3):
-    def exists(path: Union[_PathType, int]) -> bool: ...
-else:
-    def exists(path: _PathType) -> bool: ...
 def lexists(path: _PathType) -> bool: ...
 
 # These return float if os.stat_float_times() == True,
diff --git a/stdlib/3/os/path.pyi b/stdlib/3/os/path.pyi
index 73c14de70..76a4c4b8d 100644
--- a/stdlib/3/os/path.pyi
+++ b/stdlib/3/os/path.pyi
@@ -5,6 +5,7 @@
 import os
 import sys
 from typing import overload, List, Any, AnyStr, Sequence, Tuple, TypeVar, Union, Text, Callable, Optional
+from genericpath import exists as exists
 
 _T = TypeVar('_T')
 
@@ -100,10 +101,6 @@ elif sys.version_info >= (3, 5):
 # So, fall back to Any
 def commonprefix(m: Sequence[_PathType]) -> Any: ...
 
-if sys.version_info >= (3, 3):
-    def exists(path: Union[_PathType, int]) -> bool: ...
-else:
-    def exists(path: _PathType) -> bool: ...
 def lexists(path: _PathType) -> bool: ...
 
 # These return float if os.stat_float_times() == True,