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 → ι → ι → ι → ι → ι be given.
Let x5 of type ι → ι → ι → ι → ι → ι be given.
Let x6 of type ι → ι → ι → ι → ι → ι be given.
Let x7 of type ι → ι → ι → ι → ι → ι → ι → ι → ι be given.
The subproof is completed by applying H0.