Item 2 (00AM) — 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.

Associativity. Given a diagram

in $\mathsf{Sets}_{*}$, we have isomorphisms of pointed sets

\[ \webleft (X\times _{W}Y\webright )\times _{V}Z\cong \webleft (X\times _{W}Y\webright )\times _{Y}\webleft (Y\times _{V}Z\webright ) \cong X\times _{W}\webleft (Y\times _{V}Z\webright ), \]

where these pullbacks are built as in the diagrams

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