I am required to prove that if $f$ is an element of Lip $\alpha$, then $f$ is uniformly continuous. Where Lip means a Lipschitz function. I also have to prove that if $f$ is an element of Lip $\alpha$ and $\alpha>1$ then $f$ is constant where $\alpha$ is actually a greek symbol I dont know how to type
i) Prove that if $f \in$ Lip $\alpha$, then $f$ is uniformly continuous.
ii) Prove that if $f \in $ Lip $\alpha$ and $\alpha > 1 $, then $f$ is constant.