The presidential plane flew to Texas on Sunday, to fly back to Washington the casket of George HW Bush. The 41st president, who died aged 94 on Friday, will lie in state at the US Capitol in Washington from Monday evening to Wednesday morning.

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There will be a state funeral at the National Cathedral on Wednesday, which the White House said Donald and Melania Trump will attend.

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A private funeral will follow, at St Martin’s Episcopal church in Houston on Thursday. Bush will be buried in the grounds of his presidential library, at Texas A&M University in College Station. He will lie in a family plot next to his wife, Barbara, who died in April at 92, and daughter Robin, who died in 1953 at the age of three.

In Houston late on Sunday, Bush spokesman Jim McGrath tweeted a picture of the presidential plane, which he said will “technically be called Special Air Mission 41” when it transports the body of the 41st president to and from Texas on Monday and Wednesday. Formally, the title Air Force One refers to any plane carrying the current president, not the jet itself.

Trump returned to Washington early on Sunday, from the G20 summit in Buenos Aires. There, he cancelled a press conference “out of respect for President Bush” and ignored a reporter who asked if he regretted any of his comments about Bush or his family.

There is little love lost between the leading Republican families: in a book published last year, George HW Bush called Trump “a blowhard … driven by a certain ego”. Donald Trump was not invited to the funeral of Barbara Bush, which Melania Trump attended.

Trump said he had spoken to Bush’s sons, former president George W Bush and former Florida governor Jeb Bush, both frequent targets of his ire.

“And I expressed deepest sympathies,” he said, adding: “He was a very fine man. I met him on numerous occasions. He was just a high-quality man who truly loved his family. One thing that came through loud and clear, he was very proud of his family and very much loved his family. So he was a terrific guy and he’ll be missed. And he led a full life, and a very exemplary life too, I will say.”

Play Video 2:32 George HW Bush, 41st US president, dies aged 94 – video obituary

Amidst tributes to Bush, leaders of both parties in Washington praised him in public statements. The Republican House Speaker, Paul Ryan, lauded his “decency and integrity”. The Democratic leader in the House, Nancy Pelosi, said it had been a “privilege to work with him”.

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On Sunday, former secretary of state James Baker, a close friend who was with Bush in his last hours, told CNN’s State of the Union he hoped “civility in politics” had not died with the former president.

Trump ordered flags on the White House and public buildings flown at half-staff – an honour he did not initially accord Senator John McCain – and said Wednesday would be a day of national mourning. All executive departments and agencies of the federal government will close.

After the death of a president, a temporary calm descends on Washington. Though a government shutdown has been looming over Trump’s demands for funding for his border wall, the House of Representatives will meet on Monday only to “consider resolutions pertaining to the lying in state”. It will not hold votes and will not be in session on Tuesday. The supreme court will also be closed.

Speaking to reporters on Air Force One as he left Argentina, Trump said he would “consider and probably get” a two-week government funding extension, to allow for ceremonies for Bush.