Let alpha be given.
Assume Ha.
rewrite the current goal using add_SNo_0L alpha (ordinal_SNo alpha Ha) (from right to left) at position 1.
We will prove ordsucc (0 + alpha) = 1 + alpha.
Use symmetry.
An exact proof term for the current goal is add_SNo_ordinal_SL 0 ordinal_Empty alpha Ha.