In emails reviewed by The New York Times and authenticated by people who had worked with the Trump campaign at the time, one lawyer involved in the detailed discussions repeatedly used the word “fake” to refer to the so-called electors, who were intended to provide Vice President Mike Pence and Mr. Trump’s allies in Congress a rationale for derailing the congressional process of certifying the outcome. And lawyers working on the proposal made clear they knew that the pro-Trump electors they were putting forward might not hold up to legal scrutiny.

“We would just be sending in ‘fake’ electoral votes to Pence so that ‘someone’ in Congress can make an objection when they start counting votes, and start arguing that the ‘fake’ votes should be counted,” Jack Wilenchik, a Phoenix-based lawyer who helped organize the pro-Trump electors in Arizona, wrote in a Dec. 8, 2020, email to Boris Epshteyn, a strategic adviser for the Trump campaign.

In a follow-up email, Mr. Wilenchik wrote that “‘alternative’ votes is probably a better term than ‘fake’ votes,” adding a smiley face emoji.