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.
Apply unknownprop_84fe37a922385756a4e0826a593defb788cadbe4bdc9a7fe6b519ea49f509df5 with
6,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_8f4e7d1695227c1473bf2839d315871945518af04fe321a0718e6f867c2a8932 with
x0,
x1 leaving 7 subgoals.
The subproof is completed by applying H8.
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.
Assume H8: x0 = 6.
Apply H8 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H7.