It may be hard to believe – but the President of the United States of America is now Donald J. Trump.  Here are the pictures that prove it:

President Trump has described his predecessor, Barack Obama, as ''a bad (or sick) guy''. Photo: Getty

First lady Melania Trump fixes the tie of her son Barron Trump prior to President Donald Trump's inaugural address. Photo: Chip Somodevilla/ Getty

President-elect Donald Trump arrives for the presidential inauguration ceremonies on the West front of the U.S. Capitol in Washington Photo: Andrew Gombert - Pool/Getty

Donald Trump takes the oath of office as president. Photo: Getty

Rain started falling as President Trump delivered his inaugural address. Photo: Alex Wong/Getty

President Trump delivers his inauguration address. Photo: Alex Wong/Getty

The 45th President of the United States delivered a fist pumping, rhetoric filled inauguration speech. Photo: Chip Somodevilla/ Getty

The newly sworn-in president give the crowds his signature thumbs up. Photo: Getty

The Trumps and Obamas stand on the Capitol steps during the inauguration ceremony – all eyes were on Michelle Obama's grim visage. Photo: Rob Carr/Getty Photo: Rob Carr/Getty

The most popular politician in the United States leaves Capitol Hill – former President Barack Obama waves from a helicopter as newly elected President Donald Trump walks with his wife Melania back to the Capitol Hill building after his swearing-in. Photo: John Angelillo-Pool/Getty

A soldier and the nuclear "football" stay close to the President at all times Photo: Getty

Protestors in front of the Brandenburg Gate voice opposition to the new US President. Mr Trump is generally unpopular in Germany, after he threatened their car manufacturers with import tariffs. Other placards read "We know in Berlin that walls are wrong". Photo: Michelle Tantussi/Getty

Trump rump: exuberant supporters gather on the National Mall ahead of the inauguration. Photo: Patrick Smith/Getty

Demonstrators hold placards in Madrid on January 20, 2017 during a protest

People watch in the National Mall during the inauguration. Photo: Getty

A protestor on Pennsylvania Avenue during the inauguration. Photo: Jessica Kourkounis/Getty

A protestor is dragged away from a public access point to the National Mall on 14th Street ahead of the inauguration. Riot police were out in force. Photo: Patrick Smith/Getty

And some tweets that captured the moment:

The rain was no match for former President George W. Bush during the #inauguration pic.twitter.com/BmGTExxPZ1

— The Telegraph (@Telegraph) January 20, 2017

Protester screams in agony as Trump sworn in https://t.co/1bQgFCMiWb #Inauguration pic.twitter.com/cwA4Rq91th

— ITV News (@itvnews) January 20, 2017

Donald Trump used a photo from Obama's inauguration on Twitter https://t.co/iXJUpy4Act

— TIME (@TIME) January 20, 2017

Aerial images reveal a stark difference in crowd size at Trump's #inauguration versus Obama's in 2009. pic.twitter.com/asyPecPlvv

— Vox (@voxdotcom) January 20, 2017

https://twitter.com/TEN_GOP/status/822506314597302272