And what wonder is it the Spirit works life, who enlivens as does the Father and as does the Son? And who can deny that giving new life is the work of the eternal Majesty? For it is written, “Give life to your servant.” He, then, is enlivened who is a servant, that is, a person, who before he did not have life but received the privilege of having it.
Let us then see whether the Spirit is enlivened, or himself giving life. Now it is written, “The letter kills, but the Spirit gives life.”So, then, the Spirit enlivens.
But that you may understand that the enlivening of the Father, Son and Holy Spirit is no separate work, read how there is a oneness of quickening also, since God gives life through the Spirit, for Paul said, “He who raised up Christ from the dead shall also give life to your mortal bodies because of his Spirit who dwells in you.”
(Ambrose of Milan) On the Holy Spirit 2.4.29–31.