Item 16 (008B) — 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
\[ \webleft (f\boxtimes _{X'\times Y'}g\webright )^{-1}\webleft (U'\boxtimes _{X'\times Y'} V'\webright )=f^{-1}\webleft (U'\webright )\boxtimes _{X\times Y} g^{-1}\webleft (V'\webright ) \]

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

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