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Just to be clear

      ⊢∀[Proposition Ψ] (⊢Ψ)⇒Ψ
is not jargon. Instead, it is standard mathematics.



It absolutely is jargon. The fact that you explained it by saying it's "mathematics" instead of "English" suggests as much. Jargon means that it's technical language specific to a field and not used in everyday vernacular. What you wrote can't even be typed on a standard keyboard. It's jargon.

I'm pointing it out because its use is not so innocent. Jargon is often used to obfuscate meaning, especially when it means something that would otherwise be easy to say plainly.




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