Trump praises overturning Roe v. Wade

• The Republican presidential nominee, who once indicated he favored a national abortion ban, is now campaigning with a leave-it-to-the-states posture.

Zoom in: Trump said that "every legal scholar, every Democrat, every Republican, liberal, conservative, they all wanted" the issue of abortion "to be brought back to the states."

• When Harris said Trump would sign a national abortion ban into law if he wins, Trump replied, "It's a lie. I'm not signing a ban ... because we've gotten what everybody wanted."
• Moderator Linsey Davis asked Trump for a direct answer on whether he would veto a ban, saying GOP vice presidential candidate JD Vance has claimed former president indeed would.
• "Well, I didn't discuss it with JD," Trump said. "I don't mind if he has a certain view but I think he was speaking for me but I really didn't."

Zoom out: Trump falsely claimed that Democrats favor the "execution" of babies after they're born.

• Davis refuted the claim and said, "It's not legal to kill a baby after it's born in any state."

What she's saying: Harris took aim, saying, "The government and Donald Trump certainly should not be telling a woman what to do with her body."

• She pledged to sign legislation codifying Roe v. Wade if Congress passes a bill to reinstate the federal abortion protections.

More from Axios:

• Trump: Six-week abortion limit is "too short"
• Mapped: How late in pregnancy states allow abortions

Editor's note: This article has been updated with details from moderator Linsey Davis' exchange with former President Trump.