To Mirandize someone means that while you are arresting someone, you make them aware of their rights. Mirandize has become part of the English language. That's what Miranda v Arizona accomplished.
Mapp v. Ohio established that there is no breaking the 4th amendment. Evidence that was not collected by due process can't be used in a court of law.
Gideon v. Wainwright makes it the state's responsibility to provide a lawyer for those unable to afford one.
All of these are intended to expand the rights of those accused of crimes.
