Django: query spanning multiple many-to-many relationships

I've got some models set up like this:

class AppGroup(models.Model):
  users = models.ManyToManyField(User)

class Notification(models.Model):
  groups_to_notify = models.ManyToManyField(AppGroup)

The User objects come from django's authentication system.

Now, I am trying to get all the notifications pertaining to the groups that the current user is a part of. I have tried..

notifications = Notification.objects.filter(gro开发者_如何学编程ups_to_notify=AppGroup.objects.filter(users=request.user))

But that gives an error:

more than one row returned by a subquery used as an expression

Which I suppose is because the groups_to_notify is checking against several groups.

How can I grab all the notifications meant for the user based on the groups he is a part of?

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Use the double-underscore format to traverse relations.

Notification.objects.filter(groups_to_notify__users=request.user)