Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Apply unknownprop_84fe37a922385756a4e0826a593defb788cadbe4bdc9a7fe6b519ea49f509df5 with
0,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply FalseE with
x1 x0.
Apply unknownprop_1cc88f7e87aaf8c5cee24b4a69ff535a81e7855c45a9fd971eec05ee4cc28f9c with
x0.
The subproof is completed by applying H2.
Assume H2: x0 = 0.
Apply H2 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H1.