Multi type search for matching and non-matching fields

Elastic Stack Elasticsearch
1

I am evaluating elastic search and not sure if the following requirement
which I have is possible through elastic search.

I have the following data

  1. /index/type1

{ "user": "user1"}
{ "user": "user2"}
{ "user": "user3"}

  1. /index/type2

{ "user": "user1"}
{ "user": "user2"}

Now I would like to retrieve the following:

  1. Users that are in type1 but not in type 2 - user3
  2. Users that are in both type1 and type2 - user1 and user2

Is this something which can be achieved through elastic search?

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