The following problem arose from my attempt to re-express directed topological spaces in terms of funcoids.

Conjecture Let $latex R$ be the complete funcoid corresponding to the usual topology on extended real line $latex [-\infty,+\infty] = \mathbb{R}\cup\{-\infty,+\infty\}$. Let $latex \geq$ be the order on this set. Then $latex R\sqcap^{\mathsf{FCD}}\mathord{\geq}$ is a complete funcoid.

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