Item 9 (0012) — The Clowder Project

Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
Style 3	`book`	Arno*	`amsthm`
Style 4	`book`	Computer Modern	`amsthm`

Distributivity Over Intersections. Let $X$ be a set. For each $U,V,W\in \mathcal{P}\webleft (X\webright )$, we have equalities
\begin{align*} U\times \webleft (V\cap W\webright ) & = \webleft (U\times V\webright )\cap \webleft (U\times W\webright ),\\ \webleft (U\cap V\webright )\times W & = \webleft (U\times W\webright )\cap \webleft (V\times W\webright ) \end{align*}

of subsets of $\mathcal{P}\webleft (X\times X\webright )$.

Noticed something off, or have any comments? Feel free to reach out!

You can also use the contact form below: