Catechism: The Holy Spirit is consubstantial with the Father and the Son

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CCC 685: To believe in the Holy Spirit is to profess that the Holy Spirit is one of the persons of the Holy Trinity, consubstantial with the Father and the Son: "with the Father and the Son he is worshipped and glorified." For this reason, the divine mystery of the Holy Spirit was already treated in the context of Trinitarian "theology." Here, however, we have to do with the Holy Spirit only in the divine "economy."

CCC 689: The One whom the Father has sent into our hearts, the Spirit of his Son, is truly God. Consubstantial with the Father and the Son, the Spirit is inseparable from them, in both the inner life of the Trinity and his gift of love for the world. In adoring the Holy Trinity, life-giving, consubstantial, and indivisible, the Church's faith also professes the distinction of persons. When the Father sends his Word, he always sends his Breath. In their joint mission, the Son and the Holy Spirit are distinct but inseparable. To be sure, it is Christ who is seen, the visible image of the invisible God, but it is the Spirit who reveals him.