Nice Metric

Definition

A Metric is nice $⟺$ Norm Induces a Metric

Showing a Metric is Nice

1. $\lambda \in \mathbb{F}⟹d(\lambda x,\lambda y)=|\lambda |d(x,y)$
2. Let $z\in V⟹d(x+z,y+z)=d(x,y)$