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Proofgold Proof

pf
Let x0 of type ιο be given.
Let x1 of type ιιιο be given.
Let x2 of type ιι be given.
Let x3 of type ιιιιιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιιι be given.
Let x6 of type ιιι be given.
Let x7 of type ιιιιιι be given.
Assume H0: MetaCat_product_constr_p x0 x1 x2 x3 x4 x5 x6 x7.
The subproof is completed by applying H0.