• A category $\mathcal{C}$ is posetal[1] if $\mathcal{C}$ is equivalent to $X_{\mathsf{pos}}$ for some poset $\webleft (X,\preceq _{X}\webright )$.

Footnotes

[1] Further Terminology: Also called a thin category or a $\webleft (0,1\webright )$-category.

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