[{"value":{"items":[{"docs":[{"numbers":[1,2]},{"numbers":[1]}]}]}},{"value":{"items":[{"docs":[{"numbers":[1]},{"numbers":[1]}]}]}}]

db.collection.find({"value.items":{$elemMatch:{docs:{$elemMatch:{numbers:{$exists:true,$ne:[],$not:{$size:1}}}}}}})