A new conjecture

While writing my book I forgot to settle 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.

Note that the similar statement about reloids is quite obvious.

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