What does "check someone for power" mean?

1.a system that allows each branch of a government to amend or veto acts of another branch so as to prevent any one branch from exerting too much power.

Definition of in someone's power

1: in a position of being controlled by someone other than oneself

She had them in her power.

2: able to be done by someone: within one's ability

It's in your power to change the way things are done here.

I'll do everything in my power to help.

Explanation:

the process of industrialization is called a revolution because