# Why is the composite fermion not included in the anyon contents of FQH topological orders?

For example, both the $$\nu=1/3$$ Laughlin state and the Moore-Read state has a simple interpretation in terms of composite fermions, which are bound states of an electron and two fluxes.

Both the Laughlin states and the Moore-Read state also have anyons, since they are both topologically ordered. Laughlin states have Abelian $$ne/m$$ anyons, with $$m=1/\nu$$ and $$n, and Moore-Read state hosts non-Abelian anyons $$\sigma$$ with charge $$e/4$$ and a neutral fermion $$\chi$$.

However, composite fermions themselves do not appear in the anyon contents of either state, despite being such an important step in describing these states. My question is why.