Let x0 of type ι be given.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Apply ordsuccE with
u19,
x0,
x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_c39a560fb3dd838429debcea7f8257835f23767fff7eaea9dcf4b5024ff1eb2e with
x0,
x1 leaving 20 subgoals.
The subproof is completed by applying H21.
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.
Apply H21 with
λ x2 x3 . x1 x3.
The subproof is completed by applying H20.