The Treaty of Paris.
Although a document actually sealed the independence several prior events did so in a more graphic manner. Perhaps the most notable was the willingness of the 'colonists' to stand up and fight for what they believed was correct and right.
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The Declaration of Independence became part of the American creed as it was the basis of founding the nation. It contains all the relevant principles of the nation.
Haiti, in 1804
they won the war of independence/ or the American revolutionary war. The immediate outcome was that the United States of America was formed as an independent nation, no longer under the control of Great Britain.
Cuba or Hawaii i cant remember sorry
By the terms of the Treaty of Paris of 1783, Great Britain recognized American independence. The British ceded to the new nation all of Britain's claims eastward from the Mississippi to the American east coast.