There are multiple definitions - click on the translation that matches your context.

提出权利主张

动词

full

prosecute

verb

Definitions of prosecute

to begin and pursue a civil legal action

My client has instructed me to prosecute this action to the fullest.

to begin and pursue a criminal case against someone

The District Attorney said he had not found sufficient grounds to prosecute.

to carry on with something; to engage in something

We prosecuted our business successfully for several years before going into liquidation.