Item 11 (0092) — 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`

Interaction With Surjections. If $f$ is surjective, then we have
\begin{align*} f_{!,\text{im}}\webleft (U\webright ) & \subset f_{*}\webleft (U\webright ),\\ f_{!,\text{cp}}\webleft (U\webright ) & = \emptyset ,\\ f_{!}\webleft (U\webright ) & \subset f_{*}\webleft (U\webright ) \end{align*}

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

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