Item 1 (0059) — The Clowder Project

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`

Lack of Functoriality. The assignment $\webleft (U,V\webright )\mapsto U\mathbin {\triangle }V$ need not define functors
\begin{gather*} \begin{aligned} U\mathbin {\triangle }- & \colon \webleft (\mathcal{P}\webleft (X\webright ),\subset \webright )\to \webleft (\mathcal{P}\webleft (X\webright ),\subset \webright ),\\ -\mathbin {\triangle }V & \colon \webleft (\mathcal{P}\webleft (X\webright ),\subset \webright )\to \webleft (\mathcal{P}\webleft (X\webright ),\subset \webright ),\\ \end{aligned}\\ -_{1}\mathbin {\triangle }-_{2} \colon \webleft (\mathcal{P}\webleft (X\webright )\times \mathcal{P}\webleft (X\webright ),\subset \times \subset \webright )\to \webleft (\mathcal{P}\webleft (X\webright ),\subset \webright ).\end{gather*}

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