Trump and Harris presidential debate fact-checks and analysis

>>> THIS IS A CBS NEWS SPECIAL. AMERICA DECIDES. THE RESIDENTIAL DEBATE. NO REPORTING, NORAH O'DONNELL. >>> WELCOME BACK TO CBS NEWS STREAM FOR CONTINUED COVERAGE OF THE FIRST PRESIDENTIAL DEBATE BETWEEN DONALD TRUMP AND KAMALA HARRIS. I AM NORAH O'DONNELL. AND WITH THE BEST POLITICAL TEAM IN THE BUSINESS. NANCY CORDES, ED O'KEEFE, FOR THE TAKE ON TONIGHT'S DEBATE. BUT PEOPLE MIGHT'VE LEARNED THAT THEY DIDN'T ALREADY KNOW? ED O'KEEFE, I WILL GO TO YOU FIRST. DEMOCRATS GIVING A SIGH OF RELIEF TONIGHT OVER THE PERFORMANCE. WHERE DOES IT CHANGE THINGS NOW THAT WE ARE OVER 60 DAYS AWAY FROM ELECTION DAY? >> THE HOPE IS THAT THEY REACHED THE FEW UNDECIDED VOTERS IN THE SEVEN BATTLEGROUND STATES. THEY MIGHT SOMEHOW CHANGE THE MINDS AND FILL IN THE GAPS ABOUT WHAT SHE'S ABOUT AND IF SHE CAN DO THIS? THE HARRIS CAMPAIGN LIKES WHAT IT SAW SO MUCH THAT THEY ARE PUSHING FOR ANOTHER DEBATE TO BE HELD IN OCTOBER. THAT GIVES AN INDICATION THAT THEY BELIEVE SHE DID SO WELL THAT THEY SHOULD TRY AGAIN. WHETHER THE DONALD TRUMP TEAM WOULD CONSENT OR IT WOULD HAPPEN REMAINS TO BE SEEN, BUT YOU ARE HEARING SENIOR AIDES ACROSS THE DEMOCRATIC PARTY PUSHING FOR ANOTHER DEBATE. TALKING TO LAWMAKERS, SENIOR AIDES, GOVERNORS, THEY ARE COMPLETELY ELATED BY WHAT THEY SAW BELIEVING THAT SHE CONSISTENTLY GOADED HIM INTO A CORNER. HAD HIM FALL FOR QUESTIONS ABOUT CROWD SIZES, RELATIONS TO WORLD LEADERS. SHE EMASCULATED HIM ON TELEVISION TONIGHT. IT WORKED. >>> I WANT TO BRING GORDON AND NANCY CORDES. THERE WAS A LOT OF PRESSURE ON HARRIS AS VICE PRESIDENT. EVEN THOUGH SHE HELD THE ESTEEMED OFFICE, IT IS THE NUMBER TWO POSITION. THIS WAS HER FIRST PRESIDENTIAL DEBATE. THIS WAS DONALD TRUMP'S SEVENTH ON THE STAGE. >> ONE OF THE THINGS A NUMBER OF PEOPLE WANTED TO SEE, IF SHE COULD STEP UP TO THE TASK AND KEEP THE MOMENTUM GOING. MENTIONED AT THE START THAT I WAS WITH DONORS, LARGE DONORS ON THE WEST COAST OVER THE WEEKEND. THEY SAID IF SHE PERFORMED WELL, IT WOULD MAKE IT SO MUCH EASIER TO KEEP THE BIG DOLLARS ROLLING IN. I GOT A RESPONSE, $, $. THEY ARE VERY PLEASED. ELATION WOULD BE THE WORD. >>> NANCY,, LOT HARRIS HAD A STRATEGY. SHE TRAINED AND PRACTICED. SHE KEPT COMING THE WATERS. IT LOOKED LIKE DONALD TRUMP TOOK THE BAIT. >> SHE IS A FORMER PROSECUTOR. SHE HAS BEEN DOING THIS A LONG TIME. SHE STUDIED HIM AND KNOWS THE TOPICS THEY GET UNDER HIS SKIN. SHE ALSO SEEMED TO TRY TO MAKE A CASE THAT SHE IS A CHANGE NOT JUST FROM TRUMP BUT FROM PRESIDENT BIDEN. SHE OCCUPIES THE WHITE HOUSE. SHE SAID SHE OFFERS A NEW GENERATION OF LEADERSHIP. SHE SAID THE AMERICAN PEOPLE ARE TIRED OF THE SAME PLAYBOOK. SHE SAID AT ONE POINT, LET'S NOT GO BACK. SHE SAID, IF YOU DON'T LIKE WHAT YOU SEE HERE, THERE IS A PLACE FOR YOU IN OUR CAMPAIGN TO STAND FOR THE RULE OF LAW AGAINST CHAOS. SHE'S TRYING TO MAKE THE CASE THAT TRUMP IS YESTERDAY'S NEWS. HE IS OLD AND TIRED. BEYOND QUESTIONS OF TRUTH AND LIES AND BEYOND QUESTIONS ABOUT HIS CRIMINAL RECORD. SHE IS SAYING THAT THE THINGS HE WANTS TO DO IS IN THE PAST. WE ARE GOING INTO THE FUTURE. THAT IS A CAMPAIGN THEME. WE'RE NOT GOING BACK. SOMETHING YOU HEARD FROM HER OVER AND OVER. >>> WAGER GARRETT IS WITH US. YOU ARE FACT CHECKING THE THINGS WE HEARD. >> WE'RE COMING TO EVERYONE FROM TIMES SQUARE. WHERE BROADWAY IS. CATS, THE MUSICAL, WAS THE RAGE. WE MIGHT CALL THIS CAMPAIGN, CATS. IT STARTED WITH JD VANCE AND CHILDLESS CAT LADIES. TONIGHT WE ARE TALKING ABOUT IMMIGRATION. FORMER PRESIDENT TRUMP TALKED ABOUT CATS. HE MEANT TO TALK ABOUT PEACE IN SPRINGFIELD, OHIO. THERE IS A VIRAL VIDEO DIGESTING THAT HAITIAN IMMIGRANTS THERE ARE EATING CATS. EATING DOGS. WE RATE THIS ON THE CONFIRMED TEAM AS FALSE. WE CHECKED WITH LOCAL AUTHORITIES IN THE COUNTY, THEY HAVE NO CREDIBLE CLAIMS. NO EVIDENCE, NO SUGGESTION THAT HAITIAN IMMIGRANTS HAVE HARMED IN ANY WAY SHAPE OR FORM, LET ALONE, EATON DOGS OR CATS BUT ESPECIALLY NOT CASTRATED ORIGINALLY THE ALLEGATION WAS GIESE. HE MISSPOKE ABOUT THAT AND WE RATE THIS AS FALSE. CONTINUING THE FOCUS WHICH WAS RELENTLESS ON IMMIGRATION. DONALD TRUMP SAID WHEN YOU LOOK AT THIS, MILLIONS AND MILLIONS OF PEOPLE POURING INTO THE COUNTRY WHILE THEY PRAY 21 MILLION PEOPLE. WE'VE GONE OVER THIS. DURING THE BIDEN ADMINISTRATION HAD RECORD NUMBERS OF BORDER CROSSINGS. 8 MILLION TOTAL. NOT ALL OF THOSE ARE INDIVIDUALS. MANY OF THEM WERE SENT ACROSS AND CROSSED AGAIN. IS NOT 8 MILLION INDIVIDUALS. SECONDARILY, NEVER IN THE BIDEN ADMINISTRATION DID EVEN 1 MILLION PEOPLE GET ENCOUNTERED IN ONE MONTH. THE BIGGEST NUMBER WAS 300,000. WE RATE THAT AS FALSE. ONE THING THAT CAME UP FROM VICE PRESIDENT HARRIS, TALKING ABOUT FORMER PRESIDENT TRUMP'S FUTURE PLANS TO PLACE TARIFFS ON CHINESE IMPORTED GOODS AND IMPORTED GOODS FROM OTHER COUNTRIES. SHE SAID IT WOULD COST UP TO $4000 MORE PER YEAR. ECONOMISTS VARY. THE RANGES ARE $1600-$3200. SOME ECONOMISTS WILL SAY IT'S AS HIGH AS $4000. THE CBS CONFIRMED TEAM RATE AS PARTIALLY TRUE. NEEDS THE LARGER CONTEXT OF HOW HIGH THE TARIFF WOULD BE AND WHAT THE BOTTOM LINE EFFECT WOULD BE A MIDDLE-CLASS FAMILIES. SOME TRUTH THERE BUT NEEDS MORE CONTEXT. >>> WE HAVE BREAKING NEWS RIGHT NOW. IT DOESN'T NEED TO BE FACT CHECK. TAYLOR SWIFT, A PICTURE OF HER AND HER CAT, SHE JUST POSTED THAT SHE WATCHED THE DEBATE TONIGHT AND SHE IS ENDORSING KAMALA HARRIS. IN HER WORDS, SHE FIGHTS FOR THE RIGHTS AND CAUSES I BELIEVE. I THINK SHE IS THAT HE HANDED. A GIFTED LEADER AND WE CAN ACCOMPLISH SO MUCH MORE IN THIS COUNTRY IF WE ARE LED BY HOME AND NOT Ks. I WAS IMPRESSED WITH TIM WALZ WHO HAS BEEN SETTING UP TO LGBTQ RIGHTS, WOMEN'S RIGHTS, FOR DECADES. TAYLOR SWIFT ENDORSED DEMOCRATS IN THE PAST. TIMING IS INTERESTING. SHE TALKS ABOUT HOW SHE WAS CONCERNED ABOUT A ARE GENERATED FAKE STUFF OUT THERE, SUGGESTING THAT SHE LIKED DONALD TRUMP. >> IS BASICALLY SAYING IT WAS THE AR IMAGES THAT PROMPTED HER TO COME OUT NOW IN SEPTEMBER TO MAKE THE ENDORSEMENT. SHE WAS MADE AWARE THAT A.I. BOOSTED DONALD TRUMP'S SITE. THE CONJURED UP MY FEARS OF SPREADING MISINFORMATION. THIS IS THE MOST POPULAR ENTERTAINER COMING OUT IN SUPPORT OF HARRIS. IT IS NO ACCIDENT SHE'S POSING WITH HER CAT. AS MAJOR POINTED OUT, CATS ARE PART OF THE THEME OF THE CAMPAIGN. I THINK THE QUESTION NOW IS, HOW ACTIVE DOES SHE GET? IS IT A ONE TIME THING OR WILL SHE BE HITTING THE ROAD, USING HER ENORMOUS MICROPHONE TO GET VOTERS, PARTICULARLY YOUNG VOTERS, TO REGISTER AND GO TO