Let x and y be given.
Assume Hx Hy Hxneg Hyneg.
We will prove 0 < x * recip_SNo y.
Apply mul_SNo_neg_neg x (recip_SNo y) Hx (SNo_recip_SNo y Hy) Hxneg to the current goal.
We will prove recip_SNo y < 0.
An exact proof term for the current goal is recip_SNo_neg' y Hy Hyneg.