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.
Apply unknownprop_84fe37a922385756a4e0826a593defb788cadbe4bdc9a7fe6b519ea49f509df5 with
5,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_8ef96b8bfdfafc347c4af18ac841645c24347703f7d14928874fa7e0c39191e6 with
x0,
x1 leaving 6 subgoals.
The subproof is completed by applying H7.
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.
Assume H7: x0 = 5.
Apply H7 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H6.