Donald Trump has told a rally in Michigan that he “took a bullet for democracy” when an attempt was made on his life last week.

He also derided President Joe Biden and Vice-President Kamala Harris at the event in Grand Rapids – his first with new running mate JD Vance and the first since he survived the assassination attempt.

He told a packed arena that Democrats had accused him of being “a threat to democracy” and, to huge applause, said he was ready to “take back the White House”.

An investigation is under way into the shooting last weekend, which left Trump with a wounded ear – though the prominent white bandage he wore throughout the Republican National Convention had on Saturday been replaced by a discreet flesh-toned plaster.

The gunman flew a drone above the site of the shooting ahead of time, law enforcement officials have told US media.

The Grand Rapids event was one of several campaign stops the former president has made in the key battleground state, as polls show him in a close race against Mr Biden.

Mr Biden, meanwhile, has had to pause campaign events after testing positive for Covid-19. He continues to resist growing calls from members of his own party to drop out of the race due to concerns about his age and cognitive abilities.

During his speech Mr Trump repeated the falsehood that the 2020 election – which he lost to Mr Biden – had been “rigged”.

He mocked the crisis around Mr Biden’s own bid for re-election as president, saying: “They don’t know who their candidate is, and neither do we.”

In rhetoric that departed from his calls for unity immediately after the shooting, he used insulting language about Mr Biden and about Ms Harris, who is well-placed to become the Democratic nominee if Mr Biden steps aside.

Mr Trump again sought to distance himself from Project 2025 – a detailed 900-page proposal from the Heritage Foundation think tank.

Led by former Trump administration officials, Project 2025 calls for measures including the sacking of thousands of civil servants, expanding the power of the president, dismantling the Department of Education, sweeping tax cuts, a ban on pornography and halting sales of the abortion pill.

“The radical right… they’re seriously extreme,” he said.

Trump was not scheduled to address the crowd until 17:00 EST (21:00 GMT) but by 13:00, a line stretched for about three miles (4.8km) outside the 12,000-person Van Del Arena.

Many of those at the event, in the battleground state of Michigan, told the BBC that the assassination attempt – which killed an audience member and wounded two others – would not stop them from showing support for the Republican presidential nominee.

Some said they came precisely because of the shooting.

Unlike that rally, held in Butler, Pennsylvania, the Grand Rapids event was indoors – allowing security officers to carefully monitor who entered and to cut off threats from outside the rally.

In his speech, Trump thanked the “thousands and thousands” of people who came to see him “almost exactly” a week after the assassination attempt.

“I stand before you only by the grace of almighty God,” he said, repeating his belief that divine intervention saved him from being killed.

Wendy and Steve Upcott of Clarkston, Michigan, were among the thousands who drove from all over the state to see him, many reassured by the increased security.

The couple said their 26-year-old daughter begged them not to attend the event two hours from home, fearing for their safety in the wake of the assassination attempt. But they felt obliged to come after the shooting last weekend.

“The chances of it happening again just one week to the day later is unlikely,” said Ms Upcott.

Them and many others in Grand Rapids were decked out in red Make America Great Again caps, along with cowboy hats, shirts and full outfits resembling the American flag. T-shirts with Trump’s mug shot were also for sale.

Laura Schultz said she thought about her safety on Saturday morning before she decided to come to the event with a friend.

“You can’t let fear stop you,” she said.

Other rally-goers, including several young adults, said the assassination attempt pushed them to attend the Michigan rally.

It was the first Trump campaign event for fellow Donald, a 24 year old from Grand Rapids, who wore a shirt with the viral image of Trump pumping his fist after being shot.

“This is the first event after the attempted assassination. I think it’s probably going to be the most important rally,” he said, declining to share his last name.

Donald said he had no fears for his own safety, because of the hundreds of police officers, including some on horseback.

But others said they remained scared for Trump.

“It should be a concern for most Americans that he is still not safe,” Ms Upcott said.

“He needs to be very careful,” said Ms Schultz.

Other supporters expressed outrage at the US Secret Service over the incident last week.

The agency has faced intense scrutiny after shooter Thomas Matthew Crooks was able to take aim at Trump in Pennsylvania by climbing onto a roof of a building near the rally stage, even after rallygoers pointed him out to police.

Investigators have still yet to name a motive for the 20-year-old gunman who was later killed by Secret Service agents.

Since then, the country has become more attuned to possible threats to both presidential candidates. Police in Jupiter, Florida, on Friday arrested a man for allegedly posting threats to Trump on social media, while a different man from Florida was arrested a few days earlier for allegedly threatening President Joe Biden.

Saturday’s Michigan indoor event space was much easier to secure, with metal detectors and military personnel sweeping the whole building, said former Secret Service agent Jason Russell, who has worked on campaign events at the Grand Rapids arena.

“You’ll have a pretty, pretty significant number of agents on site,” Mr Russell said, adding that they would be able to keep Trump out of view until his entrance.

On Saturday, the former White House physician, Dr Ronny Jackson, released a statement about his condition after having examined Trump.

The bullet created a 2cm-wide wound on Trump’s ear that extended down to the cartilage, Dr Jackson said, which is beginning to “heal properly.” No stitches had been needed, he added.

Trump’s campaign also announced that it plans to hold its next rally in Charlotte, North Carolina on 24 July at the Bojangles Coliseum.