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.

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