diff --git a/stdlib/builtins.pyi b/stdlib/builtins.pyi
index efc51fe257ae..10409039f17b 100644
--- a/stdlib/builtins.pyi
+++ b/stdlib/builtins.pyi
@@ -121,8 +121,12 @@ class object:
     # Overriding them in subclasses has different semantics, even if the override has an identical signature.
     def __setattr__(self, name: str, value: Any, /) -> None: ...
     def __delattr__(self, name: str, /) -> None: ...
-    def __eq__(self, value: object, /) -> bool: ...
-    def __ne__(self, value: object, /) -> bool: ...
+    # Using 'Any' rather than 'object' for the argument because
+    # classes may want to restrict the type.
+    # Using 'Any | bool' rather than 'bool' for the return type because
+    # classes may want to return a wider type (e.g. numpy array)
+    def __eq__(self, value: Any, /) -> Any | bool: ...  # noqa: Y032
+    def __ne__(self, value: Any, /) -> Any | bool: ...  # noqa: Y032
     def __str__(self) -> str: ...  # noqa: Y029
     def __repr__(self) -> str: ...  # noqa: Y029
     def __hash__(self) -> int: ...