In Ex Quo, Pope Benedict XIV teaches, "it suffices Us to be able to state that a commemoration of the supreme pontiff and prayers offered for him during the sacrifice of the Mass is considered, and really is, an affirmative indication which recognizes him as the head of the Church, the vicar of Christ, and the successor of blessed Peter, and is the profession of a mind and will which firmly espouses Catholic unity. This was rightly noticed by Christianus Lupus in his work on the Councils: “This commemoration is the chief and most glorious form of communion” (tome 4, p. 422, Brussels edition). This view is not merely approved by the authority of Ivo of Flaviniaca who writes: “Whosoever does not pronounce the name of the Apostolic one in the canon for whatever reason should realize that he is separated from the communion of the whole world” (Chronicle, p. 228); or by the authority of the famous Alcuin: “It is generally agreed that those who do not for any reason recall the memory of the Apostolic pontiff in the course of the sacred mysteries according to custom are, as the blessed Pelagius teaches, separated from the communion of the entire world” (de Divinis Officiis, bk. 1, chap. 12).
... Thus how can you believe that you are not separated from the communion of the whole world if you do not commemorate my name during the sacred mysteries, according to custom? For you see that the strength of the Apostolic See resides in me, despite my unworthiness, through episcopal succession at the present time” (Labbe, Conciliorum Collectione, vol. 5, col. 794f and 810)." From: https://www.papalencyclicals.net/ben14/b14exquo.htm
Implicit in these statements is the understanding that (1) one who does not pronounce the name of the Pope recognized by the whole Church is separated from Her, and (2) a Pope recognized by the Church as having succeeded to St. Peter therefore truly has done so.
Another example of Universal Acceptance of the Catholic Hierarchy in the teachings of the Roman Pontiffs and the Papal Magisterium comes from Munificentissimus Deus of Pope Ven. Pius XII, "But those whom "the Holy Spirit has placed as bishops to rule the Church of God"(4) gave an almost unanimous affirmative response to both these questions. This "outstanding agreement of the Catholic prelates and the faithful,"(5) affirming that the bodily Assumption of God's Mother into heaven can be defined as a dogma of faith, since it shows us the concordant teaching of the Church's ordinary doctrinal authority and the concordant faith of the Christian people which the same doctrinal authority sustains and directs, thus by itself and in an entirely certain and infallible way, manifests this privilege as a truth revealed by God ... Thus, from the universal agreement of the Church's ordinary teaching authority we have a certain and firm proof" http://w2.vatican.va/content/pius-xii/en/apost_constitutions/documents/hf_p-xii_apc_19501101_munificentissimus-deus.html
Here, the Holy Father argues from the principle of the indefectibility of the OUM and the universal acceptance of the world's Bishops, to show that the Dogmatic Truth of the Assumption was already made manifest "in an entirely certain and infallible way" by the agreement of the OUM before the Holy Father proceeded to define that dogma by virtue of the Extraordinary Magisterium (Teaching Authority).