Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Apply ordsuccE with
u20,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_872bd6cce54a4288324cb4018e859d09164a486a87bf00afe978acc8e8d2c075 with
x0,
x1 leaving 21 subgoals.
The subproof is completed by applying H22.
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.
The subproof is completed by applying H13.
The subproof is completed by applying H14.
The subproof is completed by applying H15.
The subproof is completed by applying H16.
The subproof is completed by applying H17.
The subproof is completed by applying H18.
The subproof is completed by applying H19.
The subproof is completed by applying H20.
Apply H22 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H21.