Updated

Claudia Sheinbaum is projected to win Mexico's presidential election and become the nation's first female president in history.

"I will become the first woman president of Mexico," Sheinbaum said at a downtown Mexico City hotel shortly after electoral authorities announced a statistical sample showed she held an irreversible lead, according to The Associated Press. "I don't make it alone. We've all made it, with our heroines who gave us our homeland, with our mothers, our daughters and our granddaughters." 

The former Mexico City mayor said that her two competitors – Xóchitl Gálvez and Jorge Álvarez Máynez – had called her and conceded.  

The National Electoral Institute’s president said Sheinbaum had between 58.3% and 60.7% of the vote, according to a statistical sample. Opposition candidate Gálvez had between 26.6% and 28.6% of the vote, and Álvarez Máynez had between 9.9% and 10.8% of the vote. Sheinbaum's Morena Party was also projected to hold majorities in both chambers of Congress. 

SHEINBAUM FACES HUGE HURDLES FROM POWERFUL CARTELS

Claudia Sheinbaum

President-elect Claudia Sheinbaum waves to supporters at the Zocalo, Mexico City's main square, after the National Electoral Institute announced she held an irreversible lead in the election on Monday, June 3. (AP/Marco Ugarte)

President Biden said Monday that "I congratulate Claudia Sheinbaum on her historic election as the first woman President of Mexico" and that he looks forward "to working closely with President-elect Sheinbaum in the spirit of partnership and friendship that reflects the enduring bonds between our two countries.

"I also congratulate the Mexican people for conducting a nationwide successful democratic electoral process involving races for more than 20,000 positions at the local, state, and federal levels," Biden added.

Sheinbaum, the AP reports, will also be the first Jewish leader of the overwhelmingly Catholic country. 

She will start her six-year term on Oct. 1. Mexico’s constitution does not allow re-election. 

The leftist has said she believes the government has a strong role to play in addressing economic inequality and providing a sturdy social safety net, much like her political mentor President Andrés Manuel López Obrador, who is also a member of the Morena Party. 

PRESIDENTIAL CAMPAIGN RALLY IN MEXICO TURNS DEADLY AFTER STRONG GUST OF WIND TOPPLES STAGE

Presidential candidate of the ruling MORENA party Claudia Sheinbaum stands behind a podium and addresses a crowd during a campaign rally in Mexico City.

Presidential candidate of the ruling Morena Party Claudia Sheinbaum holds a campaign rally in Mexico City on May 22. (Reuters/Raquel Cunha/File Photo)

"Of course, I congratulate Claudia Sheinbaum with all my respect who ended up the winner by a wide margin," López Obrador said Monday. "She is going to be Mexico’s first (woman) president in 200 years." 

The main opposition candidate, Gálvez, a tech entrepreneur and former senator, had promised to take a more aggressive approach toward organized crime. 

In her concession speech, she said, "I want to stress that my recognition (of Sheinbaum's victory) comes with a firm demand for results and solutions to the country's serious problems." 

Julio García, a Mexico City office worker, had told the AP he was voting for the opposition in Mexico City’s central San Rafael neighborhood.  

Mexico-President

Current Mexican President Andrés Manuel López Obrador said Claudia Sheinbaum "ended up the winner by a wide margin." (AP Photo/Marco Ugarte)

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"They’ve robbed me twice at gunpoint. You have to change direction, change leadership," the 34-year-old was quoted as saying. "Continuing the same way, we're going to become Venezuela." 

The Associated Press contributed to this report.