Remark 4.8.5.34. For $n = 0$ and $n=1$, we have stronger versions of Proposition 4.8.5.33: If $G \circ F$ is $0$-full, then $G$ is $0$-full (this is a restatement of Remark 4.6.2.18). If $G \circ F$ is $1$-full and $F$ is $0$-full, then $G$ is $1$-full (this is a restatement of Remark 4.8.5.6).