Item 4 (0067) — The Clowder Project

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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.

The characteristic embedding
\[ \chi _{\webleft (-\webright )}\colon X\hookrightarrow \mathcal{P}\webleft (X\webright ) \]

of $X$ into $\mathcal{P}\webleft (X\webright )$ is a decategorification of the Yoneda embedding

\[ {\text{よ}}\colon \mathcal{C}^{\mathsf{op}} \hookrightarrow \mathsf{PSh}\webleft (\mathcal{C}\webright ) \]

of a category $\mathcal{C}$ into $\mathsf{PSh}\webleft (\mathcal{C}\webright )$.

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