Document in Mongo ->
{
emp_id : 11
proj_info :
[{
proj_id : 91
welcome to Stackoverflow, you can use ${project} method to reduce it to the scope of the subdocument and then you can use ${match}
there, like this:
collectionObject.aggregate([
{'$match':"emp_id":'11'}},
{'$project': {"proj_info": 1}},
{'$match':"proj_id":'91'}},
{'$project': {"proj_team": 1}},
{'$match': {"member_emp_id":'55'}}])