Item 3 (01QL) — 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.

The map $f\colon \left\langle 3\right\rangle \to \left\langle 1\right\rangle $ given by

is neither inert nor active. However, it factors as $f=a\circ i$, where

\begin{align*} i & \colon \left\langle 3\right\rangle \to \left\langle 2\right\rangle ,\\ a & \colon \left\langle 2\right\rangle \to \left\langle 1\right\rangle \end{align*}

are the morphisms of pointed sets given by
with $i$ being inert and $a$ being active.

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