# A conjecture about atomic funcoids

A new conjecture:

Conjecture $\langle f \rangle \mathcal{X} = \bigsqcup_{F \in \mathrm{atoms}\, f} \langle F \rangle \mathcal{X}$ for every funcoid $f$ and $\mathcal{X} \in \mathfrak{F} (\mathrm{Src}\, f)$.

This conjecture seems important for the notion of exponential object in the category of continuous maps between endofuncoids, which I am investigating now.