Item 4 (0043) — The Clowder Project

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Unitality. Let $X$ be a set and let $U\in \mathcal{P}\webleft (X\webright )$. We have equalities of sets
\begin{align*} X\cap U & = U,\\ U\cap X & = U \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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