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.
Apply unknownprop_84fe37a922385756a4e0826a593defb788cadbe4bdc9a7fe6b519ea49f509df5 with
7,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_3773c58e232a1e1254054e24116fa4b2b800b2164b7e86324f5e1edce93b5676 with
x0,
x1 leaving 8 subgoals.
The subproof is completed by applying H9.
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.
Assume H9: x0 = 7.
Apply H9 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H8.