• Interaction With Intersections. We have equalities of sets
    \begin{align*} \webleft (U\setminus V\webright )\cap W & = \webleft (U\cap W\webright )\setminus V\\ & = U\cap \webleft (W\setminus V\webright ) \end{align*}

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


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