• Annihilation With the Empty Set. We have an equality of sets
    \begin{align*} \emptyset \cap X & = \emptyset ,\\ X\cap \emptyset & = \emptyset \end{align*}

    for each $X\in \text{Obj}\webleft (\mathsf{Sets}\webright )$ and each $U\in \mathcal{P}\webleft (X\webright )$.


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