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.

Let x10 of type ι → ι be given.

Let x11 of type ι → ι → ι → ι be given.

Let x12 of type ι → ι be given.

Assume H0: MetaNatTrans_strict x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12.

Apply and5E with MetaCat x0 x1 x2 x3, MetaCat x4 x5 x6 x7, MetaFunctor x0 x1 x2 x3 x4 x5 x6 x7 x8 x9, MetaFunctor x0 x1 x2 x3 x4 x5 x6 x7 x10 x11, MetaNatTrans x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12.

The subproof is completed by applying H0.

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Proofgold Proof