Thanx for your reply. Yes, you are correct, it is the Holy Spirit that lives the life of Christ in us. We have both Christ and the Holy Spirit living in us. Christ in us is our life (Rom.5:10; Col.3:4; Gal.2:20), and the Holy Spirit, the Doer/Teacher, takes from the attributes of the Christ in us and lives it for us (Jn.16:15).
Yours in Christ,