If relative identity is false and classical Leibniz-style identity holds, statement 6 follows necessarily from premises 1, 2, and 5, rendering the argument valid and its conclusion genuinely heretical.

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Classical Leibniz-style Identity(metaphysics): The traditional rule named after philosopher Gottfried Leibniz that says if two things are truly identical, they must have exactly the same properties—no exceptions.
Heretical(the official judgment made against Origen's doctrine): Contrary to the official beliefs or teachings of a religious institution; considered dangerous or wrong by church authorities.
Leibniz: Leibniz is a German philosopher and mathematician from the 1600s-1700s who developed calculus (a powerful math tool for measuring change and areas) independently around the same time as Isaac Newton. He's famous for creating much of the notation we still use in mathematics today and for arguing that everything in the universe follows logical principles. His ideas profoundly influenced modern science, mathematics, and philosophy, making him one of history's most important thinkers.
Necessarily / Necessarily Follows(logic and metaphysics): Something that must be true or must happen given the circumstances—it's not just possible or probable, but unavoidable.

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