• De Morgan’s Laws. We have equalities of sets
    \begin{align*} X\setminus \webleft (U\cup V\webright ) & = \webleft (X\setminus U\webright )\cap \webleft (X\setminus V\webright ),\\ X\setminus \webleft (U\cap V\webright ) & = \webleft (X\setminus U\webright )\cup \webleft (X\setminus V\webright ) \end{align*}

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


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