Overload bool.__new/bool__ for Literal bools

stdlib/builtins.pyi

@@ -898,8 +898,21 @@ class memoryview(Sequence[int]):
     def __buffer__(self, __flags: int) -> memoryview: ...
     def __release_buffer__(self, __buffer: memoryview) -> None: ...
 
+class _Truthy(Protocol):
+    def __bool__(self) -> Literal[True]: ...
+
+class _Falsy(Protocol):
+    def __bool__(self) -> Literal[False]: ...
+
 @final
 class bool(int):
+    @overload
+    def __new__(cls) -> Literal[False]: ...
+    @overload
+    def __new__(cls, __o: _Truthy) -> Literal[True]: ...
+    @overload
+    def __new__(cls, __o: _Falsy) -> Literal[False]: ...
+    @overload
     def __new__(cls, __o: object = ...) -> Self: ...
     # The following overloads could be represented more elegantly with a TypeVar("_B", bool, int),
     # however mypy has a bug regarding TypeVar constraints (https://github.com/python/mypy/issues/11880).