According to logical rules of inheritance, the Bible is a “Catholic, Orthodox, and Protestant” book.
If entity ‘A’ divides upon itself into entities A’ (I call it A’ because this entity retains the original name), entities B, and entities C, all three of these entities inherit equally from original entity A.
The problem here is not the claim that it is a Catholic book; it is the implication that it is removed from the Orthodox and Protestants.
If that is not the case in this specific instance, the burden of proof rests upon the one claiming this logical rule does not apply here.