Washington (CNN) The Democratic chairwoman of the Federal Election Commission said Monday that President Donald Trump "undermines people's faith" in the election system through his repeated claim that voter fraud cost him New Hampshire in 2016.

"To be suggesting to people ... that if the candidate they choose doesn't win that it is because of fraud, that undermines our democracy. It undermines people's faith, and once that faith is broken, it is very hard to build up again," Ellen Weintraub told CNN's John Berman on "New Day."

"Facts matter, and people of America need to be able to believe what their leaders tell them. It is damaging to our democracy to spread information that ... is baseless," she said.

Last week, Weintraub, who has frequently criticized Trump's voter fraud claims, wrote the President asking him to provide evidence of the voter fraud he insists caused him to lose the New Hampshire state three years ago. The letter came a day after Trump complained to reporters -- and to his supporters at a rally in Manchester, New Hampshire -- that he had narrowly lost the Granite State because of fraudulent voting, a claim for which there is no evidence. Trump beat his Republican rivals in the New Hampshire primary in 2016 but lost the state's four electoral votes to Democrat Hillary Clinton that November by fewer than 3,000 votes.

On Sunday, Trump repeated his voter fraud allegations, saying the now-disbanded commission he set up to investigate election integrity that did not find evidence of widespread voter fraud was stonewalled by "California and other states."

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