Weak Splitting

A semantics $\sigma$ satisfies Weak Splitting iff for every splitting $(F_1, F_2, R_3)$ and labellings $L_1, L_2$ of $F_1, F_2$: if every attack in $R_3$ starts at an argument that $L_1$ labels out, or every attack in $R_3$ ends at an argument that $L_2$ labels out, then $L_1 \cup L_2$ is a labelling of $F$.