# Two equivalent conjectures

I have added to my book a short proof that the following two conjectures are equivalent:

Conjecture $\mathrm{Compl}\,f \sqcap \mathrm{Compl}\,g = \mathrm{Compl}(f\sqcap g)$ for every reloids $f$ and $g$.

Conjecture Meet of every two complete reloids is complete.