Item 17 (01KX) — 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.

Interaction With Characteristic Functions. We have
\[ \chi _{\webleft [U,V\webright ]_{\mathcal{P}\webleft (X\webright )}}\webleft (x\webright )=\operatorname*{\text{max}}\webleft (1-\chi _{U}\ (\mathrm{mod}\ 2),\chi _{V}\webright ) \]

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

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