HEMPSTEAD, N.Y. — The lone debate in the Democratic primary pitting Gov. Andrew M. Cuomo against his challenger, Cynthia Nixon, featured its fair share of brickbats and bon mots. Here’s a quick look at some of the candidates’ statements, and when they may have stretched the truth.

The Cuomo-Trump relationship

Mr. Cuomo has seemingly sought to make the race less about Ms. Nixon and more about President Trump, who has dismal approval ratings in his home state. Mr. Cuomo said that he was “in a fight” with Mr. Trump and said that the president uses Twitter to attack him “weekly.” “Know me by my enemies,” the governor said in the early moments of the debate.

But while Mr. Cuomo has recently been on the receiving end of some negative attention from the president’s Twitter account after saying that America “was never that great,” the governor has not always been on Mr. Trump’s bad side.

Indeed, the two men have known each other for decades — Mr. Trump even recorded a video for the governor’s 1990 bachelor party — and Mr. Trump has given tens of thousands of dollars to the governor’s political campaigns. Mr. Cuomo has declined to return those donations, saying he wants to use the money to fight the president’s agenda, earning Ms. Nixon’s scorn.