Item 4 (006Y) — 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 I. We have an adjunction
witnessed by a bijection
\[ \underbrace{\mathsf{Sets}^{\mathsf{op}}\webleft (\mathcal{P}\webleft (A\webright ),B\webright )}_{\mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\mkern 5mu\mathsf{Sets}\webleft (B,\mathcal{P}\webleft (A\webright )\webright )} \cong \mathsf{Sets}\webleft (A,\mathcal{P}\webleft (B\webright )\webright ), \]

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

Noticed something off, or have any comments? Feel free to reach out!

You can also use the contact form below: