DCG\] A DCG model $(G^* ,\mathbb{P})$ satisfies the identifiable [SMR]{} assumption if $(G^* ,\mathbb{P})$ satisfies the CMC and $|S(G^*)| < |S(G)|$ for every DCG $G$ such that $(G ,\mathbb{P})$ satisfies the CMC and $G \notin \mathcal{M}(G^*)$.  