... there are more granular lines that confuse people all the more
-01 Infallible Solemn Definitions of Ecuмenical Councils
-02 Infallbile Solemn Definitions in Papal Bulls (or other instruments, possibly even Encyclicals - see below)
-03 Infallbile OUM
-04 Universal Discipline of the Church
-05 Expository Sections (and
Obiter Dicta) within Ecuмenical Councils
-06 Expository Sections (and
Obiter Dicta) in Papal Bulls that also include Solemn Definitions
-07 Core Propositions of Papal Teaching addressed to Universal Church (e.g., Encyclicals)
-08 Expository Sections (and
Obiter Dicta) in Papal Teaching addressed to Universal Church
-09 Authentic Magisterium directed at Particular Churches or to Particular Bishops
-10 Authentic Magisterium in other forms (e.g., Alllocutions)
-11 Prudential Judgments (Executive Actions) of the Pope as Pope
-12 Decrees of the Holy Office or Other Offices as Approved by the Pope
-13 Non-Magisterial Teaching of Private Person (Private Theologian) ... sermons, audiences, books, interviews, posts on social media
-14 Pope's Private Life (private opinions, moral life, behavior in general)
This failure to discern the line is also where the "Bad Dad" and "Faith is Greater than Obedience" maxims become logical fallacies.
01 to 03 are certainly infallible (and it would be heretical to deny them) but ...
whether or not any given proposition belongs to 03 can be contested and does not often enjoy the certainty of faith
01 and 02 (whether they are in play) will be almost certain since Vatican I, because the Popes will almost inevitably use the language of Vatican I to make sure it's known that their definitions are intended to be infallible
01 and 02 (whether they are in play) can be contested or dispute in teachings prior to Vatican I, but many are certainly infallible, such as when anathemas are attached, or the language is so solemn that no one in good faith could doubt that the teachings in question had been infallibly defined ... but there are some contested edge case where some think yes, some no
04 Theological Consensus is practically unanimous in favor of 04, but this hasn't been defined, so not heretical to deny, but very harmful to the Church and almost certainly a grave sin
05 ... while not strictly defined at Vatican I, I should think that it would be nearly impossible for there to be error in anything of substance, and perhaps only in minutiae, especially when supporting reasons are being given for why the core teaching is true
06 ... same as 05, but with just a bit less certainty, where it might be slightly more possible for there to be errors in substantial propositions, but nothing harmful to faith
07 ... Core Propositions in a "series of Encyclicals" should be considered to have an extremely low probability of being erroneous, but certainly cannot be gravely in error where they would militate against the faith or do harm to souls, with the change of error increasing somewhere if the teaching were contained only in a single Encyclical, for instance
-------- EVERYTHING ABOVE THIS LINE MUST BE GIVEN AT LEAST "INTERNAL RELIGOUS ASSENT" (as properly defined, not as commonly misunderstood by Trads today), with 01 to 03 requiring absolute assent with the certainty of faith when it's certain that any given teaching falls within the category, but "Internal Religious Assent" otherwise
08 ... some chance of error, but again nothing gravely harmful to souls
09 and 10 ... error possible (and may be respectfully questioned)
11 may be in error
12 generally not Magisterial, but must be obeyed unless serious reasons suggest they should not be
13 - 14 ... should be judged for what they are, though without causing scandal by being excessively disrespectful of the pope. Being excessively disrespectful undermines the dignity of the office, but then so does attempting to condone actions that are themselves undermining the dignity of the office. Both those extremes can undermine the dignity of the office. Both ... "that guy's an idiot [when he says something wrong or stupid, but not against the faith]" and "it's OK for popes to fornicate" harm the office and cause scandal.