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