Database

[{"_id":ObjectId("6054a176543e46258c222f7f"),"name":"inst1","parameters":[{"id":ObjectId("60548851b5a553690d392019"),options:[{"value":"key1","sel":false},{"value":"key2","sel":false},{"value":"key3","sel":false}],},{"id":ObjectId("60548851b5a553690d392033"),options:[{"value":"key1","sel":true},{"value":"key2","sel":false},{"value":"key3","sel":true}],}],},{"_id":ObjectId("6054a176543e46258c222f78"),"name":"inst1","parameters":[{"id":ObjectId("60548851b5a553690d392019"),options:[{"value":"key1","sel":false},{"value":"key2","sel":false},{"value":"key3","sel":true}],}],},{"_id":ObjectId("6054a176543e46258c222f76"),"name":"inst1","parameters":[{"id":ObjectId("60548851b5a553690d392019"),options:[{"value":"key1","sel":false},{"value":"key2","sel":false},{"value":"key3","sel":true}],}],}]

Query

db.collection.aggregate([{$unwind:{path:"$parameters"}},{$project:{idPar:"$parameters.id",options:"$parameters.options"}},{$project:{idPar:1,isAllFalse:{$allElementsTrue:["$options.sel"]}}}])

Result