Item 3 (0180) — The Clowder Project

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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.

Unitality. Let $F,G\colon \mathcal{C}\rightrightarrows \mathcal{D}$ be functors.
1. Left Unitality. The diagram
  
  commutes, i.e. given a natural transformation $\alpha \colon F\Longrightarrow G$, we have
  
  \[ \text{id}_{G}\circ \alpha =\alpha . \]
2. Right Unitality. The diagram
  
  commutes, i.e. given a natural transformation $\alpha \colon F\Longrightarrow G$, we have
  
  \[ \alpha \circ \text{id}_{F}=\alpha . \]

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