Let x, y and z be given.
Assume Hx Hy Hz.
rewrite the current goal using add_SNo_com x y Hx Hy (from left to right).
rewrite the current goal using add_SNo_com x z Hx Hz (from left to right).
An exact proof term for the current goal is add_SNo_Lt1_cancel y x z Hy Hx Hz.