SwitchingDisjunctsFineIFLAI$1$S$4$

Here one needs to provide a proof that confirms $\{vv\}|--vv|.$ Once such a proof is found, we have a demonstration showing that the order of disjuncts is immaterial in logical entailment, for clearly the number of disjuncts could be expanded arbitrarily, so we declare that once this proof works, it's mere tedium to handle ${}_{1}vv{}_2$vvdotsvv${}_k,$ for any kinN. If your proof is to win a trophy, plus the $10$ points at stake here, no use of an oracle can remain within it$.$

Deadline February $1,2024$ at $2,50$ PM EST

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nn$.$ng$.$ng$.$n$?$