New conjecture about funcoids

New conjecture:

Conjecture \mathrm{up} (f \sqcap^{\mathsf{FCD}} g) \subseteq \{ F \sqcap G \mid F \in \mathrm{up}\, f, G \in \mathrm{up}\, g \} for all funcoids f, g (with corresponding sources and destinations).

Looks trivial? But how to (dis)prove it?

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