Let x, y, z and w be given.
Assume Hx Hy Hz Hw.
rewrite the current goal using add_SNo_rotate_3_1 y z w Hy Hz Hw (from left to right).
We will prove x + w + y + z = w + x + y + z.
An exact proof term for the current goal is add_SNo_com_3_0_1 x w (y + z) Hx Hw (SNo_add_SNo y z Hy Hz).