如何在 C# Mongodb 强类型驱动程序中删除嵌套文档的数组内的元素

我使用官方 C# MongoDb 强类型驱动程序版本 2.5.0 与 MongoDB 交互。

考虑以下类：

public class Author
{

    public Author()
    {

    }

    [BsonId]
    [BsonRepresentation(BsonType.ObjectId)]
    public string Id { get; set; }

    public string FirstName { get; set; }

    public string LastName { get; set; }

    public string BirthDate { get; set; }

    public string ScientificDegree { get; set; }

    public Library Library { get; set; }
}

public class Library
{
    public DateTime DateAdded { get; set; }

    public DateTime LastModified { get; set; }

    public List<Book> Books { get; set; }

    [BsonDefaultValue(0)]
    public int ReadCount { get; set; }

}

如何使用作者库中的 id 删除一本书？这是我直接从数组中删除元素的代码。

var field = new ExpressionFieldDefinition<Library, List<Book>>(library => library.Books);

var bookFilter = Builders<Book>.Filter.Eq(book => book.Id, bookId);

var update = Builders<Library>.Update.PullFilter(field, bookFilter);

//How to apply the update to the author using author id