The appeal filed on Tuesday disputes a judge’s ruling that six of the charges brought against Donald J. Trump and his allies in Georgia were not specific enough.
Fani T. Willis, the district attorney, defended her personal conduct in a tense courtroom appearance as defense lawyers sought to disqualify her from the prosecution of Donald J. Trump and his allies in Georgia.
Canceled oral arguments in one case and a judge’s recusal in another have added to questions about the future of four state cases against Donald J. Trump and his allies.
Ms. Willis, who charged Mr. Trump in connection with his efforts to cling to power after the 2020 election, came under scrutiny over her relationship with a lawyer she hired to lead the case.
The Supreme Court’s ruling in favor of the N.R.A. in May hinged on a secret meeting involving a New York regulator. The participants say it didn’t happen.
The cases, which stem from efforts to keep Donald J. Trump in office after his 2020 loss, are proceeding even as Mr. Trump prepares to return to the White House.