Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply add_SNo_prop1 with
x0,
x1,
SNoLt (add_SNo x0 x1) (add_SNo x0 x2) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.