How did thomas hobbe's ideas help people who want to revolt?

Actually, it was a strong argument in favor of the opposite: that people required a strong, central, absolute authority to control them and shield them from man's base natural state.

As such, revolt was anathema to Hobbes - indeed, his central work Leviathan is written expressly as a response to the upheavals of the English Civil Wars and revolutions on the Continent.

However, other writings by Hobbes also help define the "proper" nature of the relationship between a government and its citizenry, including much of the foundation for the modern Western ideas of Liberal Government. It can be argued that such writing define what is a "proper" government, and that people, finding themselves under an "improper" government, should be fully justified in seeking to replace it at will.