• The following conditions are equivalent:
    1. The functor $G$ is full.
    2. The restriction
      \[ \left.G\right\vert _{\mathrm{Im}_{F}}\colon \mathrm{Im}\webleft (F\webright )\to \mathcal{C} \]

      of $G$ to $\mathrm{Im}\webleft (F\webright )$ is full.


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