Prove that uPred_pure commutes with the first-order connectives.
Annoyingly, this requires one to prove the following in the model: (∀ x : A, ■ φ x) ⊢ ■ (∀ x : A, φ x)
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Annoyingly, this requires one to prove the following in the model: (∀ x : A, ■ φ x) ⊢ ■ (∀ x : A, φ x)