0\] Assume that $P\in C^0(\mathbb{R}^n,\mathbb{R}^n)$ and $Q\in C^0(\mathbb{R}^n\times[0,0], \mathbb{R}^n)$. Let $v_0\in\mathbb{R}^n$ be such that $P(v_0)=0$ and $P'(v_0)$ singular. Let $\Pi:\mathbb{R}^n\to\mathbb{R}^n$ be a linear projector 