Pictures: Duke and Duchess introduce their daughter

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Duke and Duchess of Cambridge and their daughterImage source, Reuters
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The royal couple were both smiling as they faced the waiting crowds

Image source, Reuters
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They were greeted by cheers when they came out of the hospital door

Image source, Reuters
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The newborn was wrapped in a shawl and wearing a bonnet

Image source, PA
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The Duke and Duchess of Cambridge waved to the crowds as they appeared outside the hospital with their daughter

Image source, AP
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The Duchess of Cambridge cradled her daughter in her right arm

Image source, EPA
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The royal couple smiled and waved to photographers outside the Lindo Wing

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News of the birth of the Duke and Duchess of Cambridge's new daughter prompted celebrations outside St Mary's Hospital in London, where she was born on Saturday morning

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Prince William left the hospital shortly before 16:00, telling those outside he was "very happy"

Image source, AP
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The duke returned minutes later with Prince George, about to see his sister for the first time

Image source, European Photopress Agency
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Prince George's new sister is 21 months younger than him

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Unofficial town crier Tony Appleton had announced the news of the birth outside the hospital

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Huge crowds had gathered following the news of Catherine's admission on Saturday morning

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They joined some well-wishers who had spent days waiting for the new royal

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Staff at the Diana Cafe near Kensington Palace in London celebrated the new baby's arrival

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An official announcement was placed outside Buckingham Palace

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Crowds gathered outside the palace to see the bulletin

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The BT Tower in central London carried a special message marking the announcement

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The fountains in Trafalgar Square turned pink to commemorate the birth of the new princess

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The Royal Navy sent a special greeting from the flight decks of HMS Lancaster

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The Queen looked happy as she visited Richmond Castle, north Yorkshire, shortly after the birth