Item 16 (007T) — 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 Products. Let $f\colon X\to X'$ and $g\colon Y\to Y'$ be maps of sets. We have
\[ \webleft (f\boxtimes _{X\times Y} g\webright )_{*}\webleft (U\boxtimes _{X\times Y}V\webright )=f_{*}\webleft (U\webright )\boxtimes _{X'\times Y'}g_{*}\webleft (V\webright ) \]

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

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