Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Assume H2: x1 1.
Assume H3: x1 2.
Assume H4: x1 3.
Assume H5: x1 4.
Assume H6: x1 5.
Assume H7: x1 6.
Assume H8: x1 7.
Assume H9: x1 8.
Apply unknownprop_84fe37a922385756a4e0826a593defb788cadbe4bdc9a7fe6b519ea49f509df5 with
8,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_d312890725ae35ac44fe5cf2fe729fc7f291b87a07f8c8da47bfc8fe6808fb72 with
x0,
x1 leaving 9 subgoals.
The subproof is completed by applying H10.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
The subproof is completed by applying H6.
The subproof is completed by applying H7.
The subproof is completed by applying H8.
Assume H10: x0 = 8.
Apply H10 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H9.