I mistakenly used yet unproved statement that $\mathrm{up}\,f$ (taken on the filtrator of funcoids) is a filter for every funcoid $f$ in proof of a theorem. So after I found this error I downgrade this theorem to the status of conjecture:
Conjecture $(\mathsf{FCD}) (\mathsf{RLD})_{\mathrm{out}} f = f$ for every funcoid $f$.