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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 ιι be given.
Let x4 of type ιιο be given.
Let x5 of type ιο be given.
Assume H0: x0 = pack_b_u_r_p x1 x2 x3 x4 x5.
Let x6 of type ι be given.
Assume H1: x6x1.
Let x7 of type ι be given.
Assume H2: x7x1.
Apply H0 with λ x8 x9 . x2 x6 x7 = decode_b (ap x9 1) x6 x7.
Apply tuple_5_1_eq with x1, encode_b x1 x2, lam x1 x3, encode_r x1 x4, Sep x1 x5, λ x8 x9 . x2 x6 x7 = decode_b x9 x6 x7.
Let x8 of type ιιο be given.
Apply decode_encode_b with x1, x2, x6, x7, λ x9 x10 . x8 x10 x9 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.