OK so let me confirm to see if I get it and sorry for my insistence:

So if I had:

CFJ 1: A is True.
CFJ 2: A is False.

I can reductio ad absurdum (although a really short one) CFJ 1 by just
presenting CFJ 2, and CFJ 2 by presenting CFJ 1.

With that, I would be barred from deducing anything from those ad absurdum
(i.e. attempt to summon Principle of Explosion?)

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