How are major principles of the u. s Constitution related to one another

Different sources tend to list different numbers of "major principles" of the Constitution. I have seen lists of four, five, six, and seven major principles. In this answer, I will use the list of seven principles found in the link below. Here is the list:

Popular sovereignty, meaning rule by the people

Republicanism, meaning the right to vote for representatives

Federalism meaning power is shared between the national and state governments

Separation of powers into ...