(law) Prosecution is the act of taking legal action against a person, especially criminal action.
The prosecution of Bob was for the rape crimes that he has committed.
(law) Prosecution refers to the agency that prosecutes a person in court, especially a person guilty of a criminal offence.
The prosecution of Mike Tyson during his rape trial argued that his victim's injuries made it very unlikely that she had consented to sex with the man.
Prosecution refers to the act of carrying out a scheme till the end.