"Double jeopardy" is a phrase that means being prosecuted or punished twice for the same crime. It goes against the principle that no person should be tried for the same offense more than once. Full definition
The case was only made possible by a change to the principle of double jeopardy under the law, which prevented someone cleared of an offence being tried again. (politics.co.uk)
Why doesn't this violate your Constitutional protection against double jeopardy? (kostlaw.com)
The reason double jeopardy does not apply when a person faces both a federal and state prosecution for the same conduct is that separate and distinct crimes are being charged. (longislandcriminallawyers.com)