How to build a collection filter via expression trees in c#

I'm building a filtering system for UserProfiles based on known properties but unknown (until runtime) combination of filtering conditions.

In my previous question How do I create a generic Expression that has an expression as a parameter, I've figured out a way to have a FilterDefinition for any value property reachable from User entity via navigation properties (i.e. (User)u=> u.NavigationProperty.AnotherNavigationProperty.SomeValue) and I have a method that can return a predicate as Expression<Func<User,bool>> for a given property, operation ( > < == etc ) and a value.

Now the time has come to filter them on collection properties as well. Say for example User has CheckedOutBooks collection (which is a total fiction, but will do) And I need to create a filter definition for Name property of CheckedOutBooks collection on User object.

What I have: A collection of Users
User class has a collection of Books
now I would like to create a method

Expression<Func<User,bool>> GetPredicate(Expression<User,TProperty>, Operations operation, TProperty value) 

That I can call like GetPredicate(u=>u.Books.Select(b=>b.Name), Operations.Contains, "C# in a nutshell")

and get an expression back similar to

u=>u.Books.Any(b=>b.Name == "C# in a nutshell")

I'm thinking maybe it will be easier to split first parameter in two to achieve this. Maybe u=>u.Books and b=>b.Name will do better?

EDIT: what I got so far:

  class FilterDefinitionForCollectionPropertyValues<T>:FilterDefinition, IUserFilter
    {


    public Expression<Func<UserProfile, IEnumerable<T>>> CollectionSelector { get; set; }
    public Expression<Func<T, string>> CollectionPropertySelector { get; set; }


    public Expression<Func<Profile.UserProfile, bool>> GetFilterPredicateFor(FilterOperations operation, string value)
    {
        var propertyParameter = CollectionPropertySelector.Parameters[0];
        var collectionParameter = CollectionSelector.Parameters[0];

// building predicate to supply to Enumerable.Any() method
        var left = CollectionPropertySelector.Body;
        var right = Expression.Constant(value);    
        var innerLambda = Expression.Equal(left, right);    
        Expression<Func<T, bool>> innerFunction = Expression.Lambda<Func<T, bool>>(innerLambda, propertyParameter);



        var method = typeof(Enumerable).GetMethods().Where(m => m.Name == "Any" && m.GetParameters().Length == 2).Single().MakeGenericMethod(typeof(T));

        var outerLambda = Expression.Call(method, Expression.Property(collectionParameter, typeof(UserProfile).GetProperty("StaticSegments")), innerFunction);

        throw new NotImplementedException();

    }

    }

Now this one works awesomely and does exactly what's needed, now the only thing I need to figure out is how to replace typeof(UserProfile).GetProperty("StaticSegments")) somehow to use CollectionPropertySelector that is in current example would be (UserProfile)u=>u.StaticSegments