• Interaction With Complements. We have equalities of sets
    \begin{align*} \webleft [U^{\textsf{c}},V\webright ]_{X} & = U\cup V,\\ \webleft [U,V^{\textsf{c}}\webright ]_{X} & = U\cap V,\\ \webleft [U,V\webright ]^{\textsf{c}}_{X} & = U\setminus V \end{align*}

    for each $U,V\in \mathcal{P}\webleft (X\webright )$.


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