True, but authority is not fully defined by the infallible statements of the Pope. This is a huge source of confusion for many people. Many people want to be shown the proof of authority…in scripture, or in some specific statement of the Pope. The catechism indicates that authority does not require statements of infallibility. The magisterium -always in communion with the Pope- proposes the faith for our belief. The faith is hugely larger than the infallible statements of any Pope (not to downplay those).
The faith is not given to just one man, although one man has the charism of prime office, the faith is offered to Christ’s mystical body, in which there are many offices. And while the faith is given to Christ’s whole body, it is not given to each individual in an exclusively personal way to exercise out of communion with the papacy and the rest of the body. In Christ’s body we are beholden to each other, in unity with Him. Likewise when one Pope dies, the faith does not die with him. This would be to deny that Christ lives. The faith and all it’s gifts are passed on. The Church is organic. The Church grows and develops because God said “go forth and be fruitful”. It lives through time in the persons that are His body, because Christ himself has risen from the dead and lives.
If authority does not rest only on infallible statements but on the persons (or offices) involved, growing from the authority of Christ himself, it’s impossible to avoid the personal character of authority. By personal I mean the emphasis on the person of Christ and his interaction with his Church, composed of the persons he gifts with many gifts, one of which is authority.
I like the etymology of obedience: “to listen”. This is not the same as subservience. The two are really confused.
It seems to be an unpopular concept but we owe obedience to the Church because Christ “said so” (queue the eye rolling). If Christ really walked the earth and started something, his authority has to be somewhere. It’s easy to establish that authority is personal and not exclusively “of the book”. So who has it? Or is Christ dead…