My proof was with an error

I claimed that I have proved the following conjecture:

Conjecture $\forall H \in \mathrm{up} (g \circ f) \exists F \in \mathrm{up}\, f, G \in \mathrm{up}\, g : H \sqsupseteq G \circ F$ for every composable funcoids $f$ and $g$.

The proof was with an error. So it remains a conjecture.