Item 4 (00DN) — The Clowder Project

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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`
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*To be replaced with Linus Romer's Elemaints when it is released.

1. Adjointness III. We have a $忘$ -relative adjunction
witnessed by a bijection of sets
${Hom}_{{Sets}_{*}} (X ⊲ Y, Z) ≅ {Hom}_{Sets} (| Y |, {Sets}_{*} (X, Z))$

natural in $(X, x_{0}), (Y, y_{0}), (Z, z_{0}) \in Obj ({Sets}_{*})$ .

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