Let x0 of type ι be given.
Let x1 of type ι be given.
Apply add_SNo_minus_Lt2b with
x1,
x0,
0 leaving 4 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
The subproof is completed by applying SNo_0.
Apply add_SNo_0L with
x0,
λ x2 x3 . SNoLt x3 x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.