The Trump administration on Friday doubled down on its refusal to acknowledge the results of the presidential election, with top trade adviser Peter Navarro asserting falsely that US President Donald Trump “won the election” and claiming that he was on track for another four years in office.

“We are moving forward here at the White House under the assumption that there will be a second Trump term,” Navarro said in an interview with Fox Business.

The comments marked the second time this week that a senior administration official has falsely projected a second Trump term. Secretary of State Mike Pompeo on Tuesday vowed a “smooth transition to a second Trump administration”.

Pressed later on Friday about whether Trump would attend President-elect Joe Biden’s inauguration on January 20, White House press secretary Kayleigh McEnany said on Fox Business: “The president will attend his own inauguration. He would have to be there, in fact.”

The statements run counter to the reality of Biden’s increasingly resilient victory in both the critical Electoral College and the popular vote. On Friday afternoon, US media outlets including CNN, The New York Times and NBC projected that Biden will win Georgia, taking his final electoral vote tally to 306 versus Trump’s 232.

Trump won by the same margin in 2016 – a “massive landslide victory”, in his own words after that year’s election.

The refusal to acknowledge Biden’s win comes amid unsubstantiated claims by Trump allies that his losses were the result of widespread voter fraud committed by Democrats, allegations that have been dismissed by state election officials and thrown out by judges. Top national security officials recently called the November 3 election the “most secure” in American history.

“If you look statistically at what happened, clearly the president won this election, was leading on Election Day,” Navarro said on Friday. “And then, after Election Day, somehow in these key battleground states, they got just enough votes to catch up to the president.”

The vote count narrowed in the days after November 3 in a number of key states largely because absentee ballots, which tend to favour Democrats, were processed after in-person ballots cast on Election Day.

Lawsuits launched by the Trump campaign and the Republican Party alleging improper handling of votes have largely failed to stand up in court. Many of the claims centre around anecdotal, isolated incidents that, even if proven true, would be nowhere near significant enough to alter the result of the race.

“The cases that have been filed thus far provide no evidence to support their claims,” Michigan attorney general Dana Nessel said on Friday.

Michigan, one of the battleground states in which Biden erased Trump’s early lead, has seen a number of lawsuits filed by the Trump campaign, including a dismissed claim that Republican observers were denied access to vote counting locations.

“Those who continue to push a false narrative claiming our elections were not conducted in a fair, free and transparent manner, or that there is widespread voter fraud, are only trying to erode public confidence in our election system, undermine our democracy and steal the election away from the people of Michigan,” said Nessel.

The campaign’s efforts to thwart Biden’s triumph in other critical states suffered further setbacks on Friday. In Arizona, the Trump team dropped a legal challenge regarding the handling of ballots in vote-rich Maricopa County, acknowledging in a court filing that Biden’s statewide lead effectively rendered the case moot.

In another blow to the Trump campaign, Pennsylvania secretary of state Kathy Boockvar said on Friday that she would not authorise a statewide recount of the vote, given that the margin separating the two candidates did not fall within the 0.5 per cent threshold.