Let x and y be given.
Assume Hx Hy Hy0.
rewrite the current goal using
mul_SNo_assoc x (recip_SNo y) y Hx (SNo_recip_SNo y Hy) Hy (from right to left).
rewrite the current goal using
recip_SNo_invL y Hy Hy0 (from left to right).
An exact proof term for the current goal is mul_SNo_oneR x Hx.
∎