Setting aside the question of Pope Honorius -- if we take the first millenium as the model of how the papacy should be exercised with respect to the Church Universal, is there any document or utterance about the office of the pope by a pope, either alone or with a Latin council, that rises to the level of heresy? (There may be errors, especially in the application of proof texts, but heresy, or material heresy?)
Can one claim about having ordinary jurisdiction over the Church Universal without enumerating what powers that includes? If it is limited to being a court of appeal and being the final arbirter or adjudicator over disputes, including doctrinal disputes, would that be enough? Or would one have to refer to the (Latin) canon laws that existed at the time as well to understand what this means?