Item 4 (01GE) — 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`
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*To be replaced with Linus Romer's Elemaints when it is released.

Oplax Right Unitality. The diagram

does not commute in general, i.e. we may have

\[ \bigcap _{\webleft\{ x\webright\} \in \chi _{X}\webleft (U\webright )}\webleft\{ x\webright\} \neq U \]

in general, where $U\in \mathcal{P}\webleft (X\webright )$. However, when $U$ is nonempty, we have

\[ \bigcap _{\webleft\{ x\webright\} \in \chi _{X}\webleft (U\webright )}\webleft\{ x\webright\} \subset U. \]

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