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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ιιι be given.
Let x3 of type ιιι be given.
Let x4 of type ιιο be given.
Assume H0: x0 = pack_b_b_r x1 x2 x3 x4.
Apply H0 with λ x5 x6 . x1 = ap x6 0.
Let x5 of type ιιο be given.
The subproof is completed by applying tuple_4_0_eq with x1, encode_b x1 x2, encode_b x1 x3, encode_r x1 x4, λ x6 x7 . x5 x7 x6.