Subsection 1.2.3 (000E): $0$-Categories

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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.

A $0$-category is a poset.^[1]

A $0$-groupoid is a $0$-category in which every morphism is invertible.^[2]

Footnotes

[1] Motivation: A $0$-category is precisely a category enriched in the poset of $\webleft (-1\webright )$-categories.

[2] That is, a set.

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