‘** But it is opposed to the truth, and in evident contradiction with the divine constitution of the Church, to hold that while each Bishop is individually bound to obey the authority of the Roman Pontiffs, taken collectively the Bishops are not so bound. For it is the nature and object of a foundation to support the unity of the whole edifice and to give stability to it, rather than to each component part; and in the present case this is much more applicable, since Christ the Lord wished that by the strength and solidity of the foundation the gates of hell should be prevented from prevailing against the Church. All are agreed that the divine promise must be understood of the Church as a whole, and not of any certain portions of it. These can indeed be overcome by the assaults of the powers of hell, as in point of fact has befallen some of them. Moreover, he who is set over the whole flock must have authority, not only over the sheep dispersed throughout the Church, but also when they are assembled together. Do the sheep when they are all assembled together rule and guide the shepherd? Do the successors of the Apostles assembled together constitute the foundation on which the successor of St. Peter rests in order to derive therefrom strength and stability? Surely jurisdiction and authority belong to him in whose power have been placed the keys of the Kingdom taken collectively. And as the Bishops, each in his own district, command with real power not only individuals but the whole community, so the Roman pontiffs, whose jurisdiction extends to the whole Christian commonwealth, must have all its parts, even taken collectively, subject and obedient to their authority. Christ the Lord, as we have quite sufficiently shown, made Peter and his successors His vicars, to exercise for ever in the Church the power which He exercised during His mortal life.** Can the Apostolic College be said to have been above its master in authority?..Wherefore, in the decree of the Vatican Council as to the nature and authority of the primacy of the Roman Pontiff, no newly conceived opinion is set forth, but the venerable and constant belief of every age (Sess. iv., cap. 3).’
Nor does it beget any confusion in the administration that Christians are bound to obey a twofold authority. We are prohibited in the first place by Divine Wisdom from entertaining any such thought, since this form of government was constituted by the counsel of God Himself. In the second place we must note that the due order of things and their mutual relations are disturbed if there be a twofold magistracy of the same rank set over a people, neither of which is amenable to the other. But the authority of the Roman Pontiff is supreme, universal and definitely peculiar to itself; but that of the bishops is circumscribed by definite limits, and definitely peculiar to themselves…
elsewhere in the same encyclical he states ‘**From this text it is clear that by the will and command of God the Church rests upon St. Peter, just as a building rests on its foundation. Now the proper nature of a foundation is to be a principle of cohesion for the various parts of the building. It must be the necessary condition of stability and strength. Remove it and the whole building falls. It is consequently the office of St. Peter to support the Church, and to guard it in all its strength and indestructible unity. How could he fulfil this office without the power of commanding, forbidding, and judging, which is properly called jurisdiction? It is only by this power of jurisdiction that nations and commonwealths are held together. A primacy of honour and the shadowy right of giving advice and admonition,which is called direction, could never secure to any society of men unity or strength. The words - and the gates of Hell shall not prevail against it proclaim and establish the authority of which we speak. **’ and ‘**It is necessary, therefore, to bear this in mind, viz., that nothing was conferred on the apostles apart from Peter, but that several things were conferred upon Peter apart from the Apostles. St. John Chrysostom in explaining the words of Christ asks: “Why, passing over the others, does He speak to Peter about these things?” And he replies unhesitatingly and at once, “Because he was pre eminent among the Apostles, the mouthpiece of the Disciples, and the head of the college” (Hom. lxxxviii. in Joan., n. 1). He alone was designated as the foundation of the Church. To him He gave the power of binding and loosing; to him alone was given the power of feeding. On the other hand, whatever authority and office the Apostles received, they received in conjunction with Peter. “If the divine benignity willed anything to be in common between him and the other princes, whatever He did not deny to the others He gave only through him. So that whereas Peter alone received many things, He conferred nothing on any of the rest without Peter participating in it” (S. Leo M. sermo iv., cap. 2). **’
All this can be read at DS 1954.
The encyclical clearly cannot be reconciled with several of the assertions you have made regarding the Popes powers especially that the petrine power is only to be asserted ‘extraordinarily’ and . Indeed the latter would be a word for word contradiction of Pope Leo XIII’s words, now one must either accept that your opinion regarding the relatio is wrong or be led to the absurdity that you know better than Pope Leo XIII regarding the teaching of the church regarding Papal authority or the equally absurd idea that he did not know about the relatio or was ignoring it.