Item 3 (00P5) — 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`

Adjointness. We have an adjunction
witnessed by a bijection of sets
\[ \mathrm{Rel}\webleft (\text{Gr}\webleft (A\webright ),B\webright ) \cong \mathsf{Sets}\webleft (A,\mathcal{P}\webleft (B\webright )\webright ) \]

natural in $A\in \text{Obj}\webleft (\mathsf{Sets}\webright )$ and $B\in \text{Obj}\webleft (\mathrm{Rel}\webright )$.

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