Category of Posets is Cartesian Closed
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Theorem
Let $\mathbf{OrdSet}$ be the category of ordered sets.
Then $\mathbf{OrdSet}$ is Cartesian closed.
Proof
Sources
- 2010: Steve Awodey: Category Theory (2nd ed.) ... (previous) ... (next): $\S 6.2$: Example $6.4$