As Democrat Joe Biden is sworn in Wednesday as the nation’s 46th president, Donald Trump’s most ardent supporters still believe Biden was not legitimately elected after Trump continues to argue the election was stolen.

There is no evidence of the widespread fraud that Trump and his allies have claimed. Republican and Democratic election officials have certified the election as valid. Courts have rejected lawsuit after lawsuit, and a clear majority of Congress has confirmed the final result despite a riotous mob earlier this month that sought to disrupt the process.

So who has claimed what, precisely? What’s the evidence that the 2020 election was valid and Biden is the duly elected president of the United States?

THE ‘MOST SECURE’ ELECTION IN U.S. HISTORY

After a rocky primary season that played out during the coronavirus pandemic, election officials were determined to ensure voters could safely cast their ballots and ramped up operations to handle a massive influx of absentee ballots. Voting absentee has long been available in the U.S., with some states limiting it to certain voters, and the process has safeguards so any ineligible voter or voter casting multiple ballots is caught and prosecuted.

In many places, election officials added drop boxes for voters concerned about widespread mail delays. Others offered curbside voting and a few states opted to send ballots to all registered voters. Although Trump and his allies claimed these changes were designed to rig the election in favor of Democrats, Trump saw more people vote for him in 2020 than four years earlier and Republicans gained seats in Congress.

One of the changes that drew the most scrutiny was the expansion of absentee voting in Pennsylvania, but that was done prior to the pandemic and authorized in a law passed with bipartisan support through the state’s Republican-controlled Legislature.

State and local election officials have called the November election one of the smoothest in recent memory, with voting spread out across days and even weeks rather than a crush of people at polling places on Election Day. Even Trump’s recently departed attorney general, William Barr, said he saw no evidence of widespread fraud.

And the fact that so many people voted using a paper ballot, which guarantees a record in the event of a dispute, prompted a coalition of government and election security officials, including representatives of the U.S. Department of Homeland Security’s cybersecurity agency, to issue a statement calling 2020 the “ most secure ” election.