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Today, we write a quick specialized note on what impredicativity exactly means, for those reasonably familiar with the Rocq syntax. Historically speaking, Rocq started out with making Set impredicative and they still carry around the flag --set-impredicative to maintain impredicativity in Sets. Let's check it quickly: (* Set is predicative. *) Fail Definition SetPred := ( forall X : Set , X ) :…
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