如何将Future<bool>转换为Stream<bool>

import 'dart:async';

Stream<bool> futureToStream(Future<bool> future) {
  StreamController<bool> controller = StreamController<bool>();

  future.then((value) {
    controller.add(value);
    controller.close();
  }).catchError((error) {
    controller.addError(error);
    controller.close();
  });

  return controller.stream;
}

void main() {
  Future<bool> future = Future.value(true);
  Stream<bool> stream = futureToStream(future);

  stream.listen((value) {
    print(value);
  });
}