When working with Core Data it's best to think of your entities as just that: entities in an object graph, instead of tables in a database. Therefore, you don't need to fetch entities related to others using a predicate. Instead, navigate the object graph using the relationships defined in the model.
To get all the images related to myObject.
Since you have a MyObject instance in hand and it has the relationship path of myObjectProperties-->ObjectProperty-->>PropertyImages you just need to traverse the relationships. It's easy to do this with valueForKeyPath.
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