McCain's death opens up a Senate seat that party leaders expect to remain in Republican hands for two more years because under state law, Republican Gov. Doug Ducey would appoint a successor who must be from the same party as the person vacating the seat.
Among those mourning John McCain is his 106-year-old mother, who says she is "incredibly proud" of what the late senator and Vietnam War hero accomplished in his life.
Trump made no comment when McCain chose to end treatment for brain cancer on Friday, and also failed to mention McCain earlier this month when he signed a defense-spending bill named for him.
McCain survived over five years in a Vietnam War prison camp, for which he received a Silver Star.
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Opposition leader and former Foreign Minister Tzipi Livni said, "John McCain was not only an American hero, but a hero to many all over the world".
Bush also released a statement on Mr McCain's passing, writing how hard it is to imagine that such a vivid life has ended.
McCain passed away on Saturday after fighting an aggressive form of brain cancer for more than year.
McCain was a prominent critic of President Donald Trump. "Our hearts and prayers are with you!" he tweeted instead.
The FLOTUS' remark went out at the exact same time as President Donald Trump's message, which shared a similar sentiment.
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Something important to note: this is not a statement about how John McCain should be remembered, nor is it a defense of McCain's actions during his life. John McCain went viral in the immediate hours after his death.
McCain's congressional colleagues and personal allies - as well as his adversaries - issued statements of their own.
Former Senator Norm Coleman, the head of the Republican Jewish Coalition (RJC), said, "Senator McCain was a patriot and a fighter".
At the request of the McCain family, I have also authorized military transportation of Senator McCain's remains from Arizona to Washington, D.C., military pallbearers and band support, and a horse and caisson transport during the service at the United States Naval Academy.
Trump and McCain had a bitter relationship that lasted through McCain's final days.
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She was diagnosed with cancer eight years ago in 2010 and last year announced her retirement from music. A 28-year-old woman who gave her name only as Bianca was taking photographs with her family nearby.