Let x0 of type ι → ο be given.

Let x1 of type ι → ι → ι → ο be given.

Let x2 of type ι → ι be given.

Let x3 of type ι → ι → ι → ι → ι → ι be given.

Let x4 of type ι → ο be given.

Let x5 of type ι → ι → ι → ο be given.

Let x6 of type ι → ι be given.

Let x7 of type ι → ι → ι → ι → ι → ι be given.

Let x8 of type ι → ι be given.

Let x9 of type ι → ι → ι → ι be given.

The subproof is completed by applying and3I with MetaCat x0 x1 x2 x3, MetaCat x4 x5 x6 x7, MetaFunctor x0 x1 x2 x3 x4 x5 x6 x7 x8 x9.

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Proofgold Proof