Note on Milnor numbers of irreducible germs

Let $(\mathbf{V},\mathbf{0})\subset ({\mathbb{C}}^{\mathbf{n}},\mathbf{0})$ be a germ of a complex hypersurface and let $f:({\mathbb{C}}^n,0)\to ({\mathbb{C}}^n,0)$ be a germ of a finite holomorphic mapping. If germs $(\mathbf{V},\mathbf{0})$ and $\mathbf{W}:=(F^{-1}(\mathbf{V})),\mathbf{0})$ are irreducible and with isolated singularities, then $$\mu (F^{-1}(\mathbf{V}))\ge \mathbf{\mu }(\mathbf{V}),$$ where $\mu$ denotes the Milnor number.