WARNING: The proof was with an error!
I have proved the following theorem:
Theorem $latex \forall H \in \mathrm{up} (g \circ f) \exists F \in \mathrm{up}\, f, G \in \mathrm{up}\, g : H \sqsupseteq G \circ F$ for every composable funcoids $latex f$ and $latex g$.
This theorem (being a conjecture at that time) was used in my alternative proof of Urysohn’s lemma. Now the proof is complete.
See my site for details.
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