Given a Hopf algebra $H$ and a Yetter--Drinfeld module $V$ over $H$, it is well-known that $V$ has an induced braided vector space structure, and so, one can consider it's Nichols algebra which is a braided Hopf algebra in the braided monoidal category of Yetter--Drinfeld modules over $H$.

The notion, however, of a Nichols algebra makes sense for any object in any braided monoidal category ${\cal C}$. Is it true in general that the Nichols algebra of any object in ${\cal C}$ will be a braided Hopf algebra in ${\cal C}$?