TYP: NaTType comparisons

pandas/_libs/tslibs/nattype.pyi

@@ -1,8 +1,14 @@
 
-from datetime import datetime
+from datetime import (
+    datetime,
+    timedelta,
+)
+from typing import Any
 
 import numpy as np
 
+from pandas._libs.tslibs.period import Period
+
 NaT: NaTType
 iNaT: int
 nat_strings: set[str]
@@ -133,3 +139,31 @@ class NaTType(datetime):
     # inject Period properties
     @property
     def qyear(self) -> float: ...
+
+    def __eq__(self, other: Any) -> bool: ...
+    def __ne__(self, other: Any) -> bool: ...
+    # https://github.com/python/mypy/issues/9015
+    # error: Argument 1 of "__lt__" is incompatible with supertype "date";
+    # supertype defines the argument type as "date"
+    def __lt__(  # type: ignore[override]
+        self,
+        other: datetime | timedelta | Period | np.datetime64 | np.timedelta64
+    ) -> bool: ...
+    # error: Argument 1 of "__le__" is incompatible with supertype "date";
+    # supertype defines the argument type as "date"
+    def __le__(  # type: ignore[override]
+        self,
+        other: datetime | timedelta | Period | np.datetime64 | np.timedelta64
+    ) -> bool: ...
+    # error: Argument 1 of "__gt__" is incompatible with supertype "date";
+    # supertype defines the argument type as "date"
+    def __gt__(  # type: ignore[override]
+        self,
+        other: datetime | timedelta | Period | np.datetime64 | np.timedelta64
+    ) -> bool: ...
+    # error: Argument 1 of "__ge__" is incompatible with supertype "date";
+    # supertype defines the argument type as "date"
+    def __ge__(  # type: ignore[override]
+        self,
+        other: datetime | timedelta | Period | np.datetime64 | np.timedelta64
+    ) -> bool: ...