Adeodatus wuxuu matalayaa mawjada labaad ee tartanka anti-Gregorian ee ka dhanka ah Papacy-ka, kii ugu horreeyay wuxuu ahaa Sabinian. Wuxuu beddelay dhaqankii uu ka horreeyay Boniface IV ee buuxinta darajooyinka maamulka papal-ka ee wadaaddada isaga oo ku celinayay wadaaddada jagooyinkaas iyo adoo amray 14 wadaaddo, oo ah amarradii ugu horreeyay ee Rome tan iyo Pope Gregory. Sida caadada ah, wuxuu ahaa baadarigii ugu horreeyay ee adeegsada shaabadaha (bullae) dukumiintiyada baadari, oo markii dambe loo yaqaan "bulls papal".
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