Chemistry nonexplosivity implies coarse-grained nonexplosivity

Let $N$ be the coarse-grained model associated to the general content-dependent fragmentation reaction network, and let $\mathcal I_\mathcal K$ denote its chemistry. Nonexplosivity conjecture. If the chemistry $\mathcal I_\mathcal K$ is not explosive, then $N$ is not explosive. This would relax the linear Lyapunov assumption in the theorem establishing nonexplosivity of the coarse-grained model.