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Donald Trump selected J.D. Vance as his running-mate at the Republican National Convention in Milwaukee. A bandaged Mr Trump made his first public appearance two days after surviving an assassination attempt and was greeted with a rapturous ovation. Earlier he wrote on Truth Social, his social-media platform, that he believed Mr Vance to be “best suited” to the role. Mr Vance, the author of “Hillbilly Elegy” and senator for Ohio, once described himself as a “never-Trump guy”. As the leading isolationist in the Senate, he is contemptuous of support for Ukraine. Mr Trump also secured enough votes from delegates to officially become the party’s presidential nominee.

A federal judge dismissed a case against Mr Trump over his handling of classified documents. Aileen Cannon, whom Mr Trump appointed to the bench, argued that the appointment of Jack Smith, the special counsel prosecuting the case, was unconstitutional because he had not been selected by the president or confirmed by the Senate. Mr Smith will probably appeal against the ruling.