Mayor Bill de Blasio says the NYPD is ready to go, prepared to investigate the allegation that President Donald Trump raped writer E. Jean Carroll in a Bergdorf Goodman dressing room in the mid-1990s. 

"The moment we in New York City and our police department have a complaint, we will investigate immediately. We will find out the truth," de Blasio said.

The president has denied the encounter. 

Carroll says she will not seek to bring charges against him.

De Blasio also went after Trump for the undocumented immigration raids the president planned, and then delayed.

"It was ludicrous to think that he could ever remove 11 million people from the United States of America," de Blasio said. "It was a cruel joke to begin with, but a painful, cruel joke because it filled a lot of people with fear. Democrats and the Congress are too smart to fall for that." 

Ahead of the first presidential debates, the mayor, and the rest of the Democratic field, spent the weekend in Columbia, South Carolina for the state party's convention. 

"We gave full-day pre-k to every child in our city for free," de Blasio said. "Do you want that South Carolina? Do you think people need that all over this country?"

De Blasio did draw cheers in the convention hall, but he had trouble drawing a crowd to an earlier event he headlined. 

At a Planned Parenthood forum, he talked about how New York became the first city in the nation this year to include money in its budget to pay for abortions. 

"We are directly funding support for women who need economic help to really have that choice," de Blasio said.

North Carolina Democrat Robin Bradford says she was moved by de Blasio.

"When Mayor de Blasio talked about all the great things he has done as a mayor, he's put his money where his mouth at and that’s what we need," she said. "We don't need the can-dos. We need the dos. And he has totally changed my view. So so far, he's my front-runner at this section. He's a do-er, not a sayer."

So that's one voter Mayor de Blasio managed to win over this weekend in South Carolina. One voter down, millions more to go.