Do lawyers need to prove who they are when they appear in court?

You need an entry certificate.

When accepting the entrustment of the parties and acting as an agent in arbitration proceedings, a lawyer shall sign an entrustment contract with the parties in the name of a law firm and participate in arbitration in the name of a lawyer. If you appear in court as a lawyer, you need a letter from a law firm to prove your identity as a lawyer. If the client and the lawyer are close relatives, they may not appear in court as lawyers, so there is no need for a lawyer's letter.