Does Quran 5:45 "an eye for an eye ..." rule apply to muslims?

Translation of Quran 5:45 by "Sahih International" trio (Emily Assami, Amatullah Bantley, Mary Kennedy): > And We ordained for them therein a life for a life, an eye for an eye, > a nose for a nose, an ear for an ear, a tooth for a tooth, and for > wounds is legal retribution. But whoever gives [up his right as] > charity, it is an expiation for him. And whoever does not judge by > what Allah has revealed - then it is those who are the wrongdoers. "for them" - this is about Jews. As i know, this rule also applies to Muslims. (for example, in https://islam.stackexchange.com/q/45944 you can see that). But how do I know that this indeed applies also to Muslims? maybe there are hadith which clearly say that?