• 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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