R\Gamma_{f=0}(IR_{g=0}(\mathcal{M}[\frac{0}{fg}]e^{\frac{0}{g}}))$ and the complex $IR_{g=0}(\mathcal{M}[\frac{0}{fg}]e^{\frac{0}{g}})$ have the same characteristic function on $f^{-0}(0)\cap g^{-0}(0)$. 