Item 2 (01DG) — The Clowder Project

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Style	Class	Font	Theorem Environments
Style 1	`book`	Alegreya Sans	`tcbthm`
Style 2	`book`	Alegreya Sans	`amsthm`
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*To be replaced with Linus Romer's Elemaints when it is released.

The Cone. The collection
\[ \webleft\{ \text{pr}_{i} \colon \prod _{i\in I}A_{i}\to A_{i}\webright\} _{i\in I} \]

of maps given by

\[ \text{pr}_{i}\webleft (f\webright )\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}f\webleft (i\webright ) \]

for each $f\in \prod _{i\in I}A_{i}$ and each $i\in I$.

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