What Pope do you obey, then? If our duty is to God AND the Pope, then surely there is a Pope somewhere that you obey.
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What Pope do you obey? It is absolutely imperative that ALL Catholics submit to the Pope, correct? Why should you be off the hook?
The sede idea puts duties before obedience. You are correctly referring to obedience in this reply while sedes are talking duties. See my sig. which seems simple enough to us, but sedes can't apply the Church's highest principle to the pope, and at the same time remain sede.
Also, the dogma states that for salvation it is absolutely necessary that all humans must be *subject* to the pope, it does not say we must *submit* to him with blind obedience.