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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 ιι be given.
Let x5 of type ιιιι be given.
Let x6 of type ιι be given.
Let x7 of type ιι be given.
The subproof is completed by applying and3E with MetaNatTrans_strict x0 x1 x2 x3 x0 x1 x2 x3 (λ x8 . x8) (λ x8 x9 x10 . x10) x4 x5 x6, MetaNatTrans_strict x0 x1 x2 x3 x0 x1 x2 x3 (λ x8 . x4 (x4 x8)) (λ x8 x9 x10 . x5 (x4 x8) (x4 x9) (x5 x8 x9 x10)) x4 x5 x7, MetaMonad x0 x1 x2 x3 x4 x5 x6 x7.