[{"id":1,"items":[{"id":"T0001","x":10,"y":10,},{"id":"T0002","x":10,"y":5,},{"id":"T0003","x":10,"y":10,},{"id":"T0004","x":10,"y":20,}]},{"id":2,"items":[{"id":"T0001","x":10,"y":5,},{"id":"T0002","x":10,"y":15,}]}]

db.collection.update({id:1},[{$set:{items:{$filter:{input:"$items",cond:{$not:{$and:[{$in:["$$this.id",["T0001","T0002"]]},{$eq:["$$this.x","$$this.y"]}]}}}}}}])