Egypt's presidential election doesn't end fight with military

Mohamed Morsi, egypt, tahrir
Egyptians celebrate the victory of the Muslim Brotherhood's candidate, Mohamed Morsi (portrait), in Egypt's presidential elections in Cairoâ??s Tahrir Square on June 24, 2012. Tens of thousands packed into Tahrir Square in the largest celebration the protest hub has witnessed since Hosni Mubarak's ouster, to celebrate their new president-elect, Morsi.

(CBS News) CAIRO - It's the election result heard round the world. Mohammed Morsi, the candidate of the Muslim Brotherhood, was declared the winner of Egypt's presidential election on Sunday.

The White House quickly congratulated the president-elect and pledged to work with him "on the basis of mutual respect."

It took a moment for word of the victory to sink in, then the crowd roared. They weren't all supporters of the Muslim Brotherhood, or its candidate, Mohammed Morsi.

They came to Tahrir Square to protest against military rule and they came hoping to celebrate a turning point in Egypt's history: The country's first truly democratically elected president.

One man in Tahrir Square who claimed he had been there from the beginning said he "cried like hell," when the results were read, and added "we still have a long road ahead."

It was close. Election officials said Mohammed Morsi beat his rival, former military general Ahmed Shafik with only 51.7 percent of the vote.

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It was the news crowds in Tahrir Square waited days to hear, and people here see this victory as justice for fellow Egyptians who gave their lives fighting for freedom on this very square.

Sixteen months ago, Tahrir Square became frontline in the revolution to overthrow President Hosni Mubarak, and the scene of deadly clashes between pro-democracy demonstrators and forces loyal to the regime. More than 900 people were killed.

Muslim Brotherhood presidential candidate Mohammed Morsi
Mohammed Morsi AFP/Getty Images

In his victory speech, Mohammed Morsi said their deaths would not be in vain. The U.S.-trained engineer said that he would be a president for all Egyptians.

Across town, supporters of a Ahmed Shafik appeared to be in a state of shock to hear the news of their candidate's defeat. They accused Egypt's generals of lacking the courage to stand up to the Muslim Brotherhood.

The power struggle between the ruling generals and the Muslim Brotherhood is far from over. On Monday, the square will go back to being a protest camp as the Muslim Brotherhood resumes its campaign to get Egypt's parliament back in session and to restore some presidential powers.