Item 1 (01J4) — 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`

Co/Completeness. The (posetal) category (associated to) $\webleft (\mathcal{P}\webleft (X\webright ),\subset \webright )$ is complete and cocomplete:
1. Products. The products in $\mathcal{P}\webleft (X\webright )$ are given by intersection of subsets.
2. Coproducts. The coproducts in $\mathcal{P}\webleft (X\webright )$ are given by union of subsets.
3. Co/Equalisers. Being a posetal category, $\mathcal{P}\webleft (X\webright )$ only has at most one morphisms between any two objects, so co/equalisers are trivial.

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