Let $\Pi$ be a complete SCR polyhedral complex in $N_{\mathbb{R}}$ and $\psi$ an H-lattice concave function on $\Pi$. Let $\Lambda\in\Pi$ be a polyhedron of dimension $n-k$, $u_{0}\in\operatorname{ri}(\Lambda)$ and $\Lambda^{\ast}=\partial\psi(u_{0})$. Then

(4.106)

$$\operatorname{mult}(\Lambda)\deg_{D_{\psi}}(V(\Lambda))=k!\operatorname{vol}_{M(\Lambda)}(\Lambda^{\ast}),$$

where $\operatorname{mult}(\Lambda)$ is the multiplicity of $\Lambda$ (see Definition 4.68).