Consider two interconnected ISS systems with states $x_1,x_2$ and internal gains $\gamma_{12},\gamma_{21}\in\mathcal K_\infty$. If
\begin{align*}
(\gamma_{12}\circ\gamma_{21})(r)<r \qquad \text{for every } r>0,
\end{align*}
then the interconnected system is ISS with respect to its external inputs.