Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Apply ordsuccE with
u12,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_a36df829fd5ae696643b1cd180c001e7c72018b0aade2c8b02a3beb191bf4447 with
x0,
x1 leaving 13 subgoals.
The subproof is completed by applying H14.
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.
The subproof is completed by applying H9.
The subproof is completed by applying H10.
The subproof is completed by applying H11.
The subproof is completed by applying H12.
Apply H14 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H13.