Item 16 (0090) — The Clowder Project

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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`

*To be replaced with Linus Romer's Elemaints when it is released.

Relation to Direct Images. We have
\begin{align*} f_{!}\webleft (U\webright ) & = f_{*}\webleft (U^{\textsf{c}}\webright )^{\textsf{c}}\\ & = Y\setminus f_{*}\webleft (X\setminus U\webright ) \end{align*}

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

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