True.
The statement accurately describes key events related to the American Revolutionary War:
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The Battle of Yorktown in 1781 was indeed a decisive victory for the American forces, aided by the French, which contributed to the British defeat and subsequently led to the end of the war.
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The 13 colonies issued the Declaration of Independence in 1776, which outlined their reasons for separating from Britain.
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The colonies raised an army and engaged in the Revolutionary War against British forces, eventually securing crucial assistance from France.
So, the overall statement is true. However, it's important to note that Canada did not gain independence as a direct result of the American Revolution; Canada became a self-governing dominion in 1867, which is much later.