Item 13 (005M) — 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. We have
\begin{align*} U\cap \webleft (V\mathbin {\triangle }W\webright ) & = \webleft (U\cap V\webright )\mathbin {\triangle }\webleft (U\cap W\webright ),\\ \webleft (U\mathbin {\triangle }V\webright )\cap W & = \webleft (U\cap W\webright )\mathbin {\triangle }\webleft (V\cap W\webright ) \end{align*}

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

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

You can also use the contact form below: