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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιιι be given.
Assume H0: ∀ x2 . x2x0∀ x3 . x3x0x1 x2 x3x0.
Let x2 of type ιο be given.
Assume H1: ∀ x3 . ∀ x4 : ι → ι → ι . (∀ x5 . x5x3∀ x6 . x6x3x4 x5 x6x3)x2 (pack_b x3 x4).
Apply H1 with x0, x1.
The subproof is completed by applying H0.