I can’t find anything to that effect in the documents of Vatican II.
… This Sacred Council, following closely in the footsteps of the First Vatican Council, with that Council teaches and declares that Jesus Christ, the eternal Shepherd, established His holy Church, having sent forth the apostles as He Himself had been sent by the Father; and He willed that their successors, namely the bishops, should be shepherds in His Church even to the consummation of the world. And in order that the episcopate itself might be one and undivided, He placed Blessed Peter over the other apostles, and instituted in him a permanent and visible source and foundation of unity of faith and communion. And all this teaching about the institution, the perpetuity, the meaning and reason for the sacred primacy of the Roman Pontiff and of his infallible magisterium, this Sacred Council again proposes to be firmly believed by all the faithful. … (Lumen Gentium 18)
But the college or body of bishops has no authority unless it is understood together with the Roman Pontiff, the successor of Peter as its head. The pope’s power of primacy over all, both pastors and faithful, remains whole and intact. In virtue of his office, that is as Vicar of Christ and pastor of the whole Church, the Roman Pontiff has full, supreme and universal power over the Church. And he is always free to exercise this power. The order of bishops, which succeeds to the college of apostles and gives this apostolic body continued existence, is also the subject of supreme and full power over the universal Church, provided we understand this body together with its head the Roman Pontiff and never without this head. This power can be exercised only with the consent of the Roman Pontiff. … (Lumen Gentium 23)
… And this is the infallibility which the Roman Pontiff, the head of the college of bishops, enjoys in virtue of his office, when, as the supreme shepherd and teacher of all the faithful, who confirms his brethren in their faith, by a definitive act he proclaims a doctrine of faith or morals. And therefore his definitions, of themselves, and not from the consent of the Church, are justly styled irreformable, since they are pronounced with the assistance of the Holy Spirit, promised to him in blessed Peter, and therefore they need no approval of others, nor do they allow an appeal to any other judgment. … (Lumen Gentium 25)