Answer:
Yes, I believe this to be true
Explanation:
First and foremost, the American Revolution inspired the Frenchmen to have their own revolution, being heavily disgruntled with King Louis XVI and Marie Antionette. The two revolutions themselves told many people in the world that revolution could end with a good outcome, such as freedom. This later led to the revolutions of Haiti and Russia
The Revolutionary War, it started on April 19, 1775 while the Declaration of Independence was signed on July 4, 1776
The United States agreed to the Europe first startegy because the war in Europe was already nearly won by this time because its priority was to help its allies first defeat the nazis because the, war in the pacific had not yet reached critical proportions because the allies would fight Japan if the United States did not help.