Item 2 (0053) — The Clowder Project

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De Morgan’s Laws. The diagrams
commute, i.e. we have equalities of sets
\begin{align*} \webleft (U\cup V\webright )^{\textsf{c}} & = U^{\textsf{c}}\cap V^{\textsf{c}},\\ \webleft (U\cap V\webright )^{\textsf{c}} & = U^{\textsf{c}}\cup V^{\textsf{c}} \end{align*}

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

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