First off, let's define the terms, Prosecute means to pursue, carry out, or bring a lawsuit against a person or group—Persecute means to subject a person or group to persistent ill treatment.
Which of those terms do you think applies to Donald Trump and his legal problems today?
Can you imagine spending 6 years trying to emasculate a political opponent because you don't like him or his politics by using and perverting the tenets of the law against him?