Item 7 (01GH) — 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.

Interaction With Intersections I. We have a natural transformation

with components

\[ \webleft(\bigcap _{U\in \mathcal{U}}U\webright)\cap \webleft(\bigcap _{V\in \mathcal{V}}V\webright)\subset \bigcap _{W\in \mathcal{U}\cap \mathcal{V}}W \]

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

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