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