Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Apply ordsuccE with
u18,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_827876b9bde6ba1cc397559c0b520083fab12475e474e4a63ab3da4cb1b80aae with
x0,
x1 leaving 19 subgoals.
The subproof is completed by applying H20.
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.
Apply H20 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H19.