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"If you look at the vote to impeach, for example, there were members who told me that they were afraid for their own security -- afraid, in some instances, for their lives," she said. "And that tells you something about where we are as a country, that members of Congress aren't able to cast votes, or feel that they can't, because of their own security."
Cheney said her role as a member of Congress obligated her to oppose the widespread lie of fraud in the election and she believes that "we've had a collapse of truth in this country."
"We've seen an evolution of, you know, a general situation where conspiracy theories are rampant, where good people in a lot of instances have been misled and believe things that are not true," Cheney continued. "And so, I think that we all have an obligation to make sure we're doing everything we can to convey the truth, to stand for the truth and to stand for the Constitution and our obligations."
Trump and his lies seeking to undermine the federal election system are an "ongoing danger" to the country, Cheney said.
She pointed to "the role individuals have to play in defending the system, and how important that is — our system held, the institutions held. There's an ongoing danger and we've got to continue to stand up against it."
"I think it's important for us to have people in leadership who are conservative and I think it's also really important for us to have people in leadership who are committed to the truth and committed to the Constitution," she said.
This story has been updated with additional developments.
CNN's Daniella Diaz, Annie Grayer, Alex Rogers, Manu Raju and Kristin Wilson contributed to this report.