'Independent' in the Bible

Joseph was 30 years old when he began to serve Pharaoh, king of Egypt, by traveling throughout the land of Egypt, independent from Pharaoh's oversight.

Whatever has been is far off, deeply remote and exceedingly mysterious. Who can discover it [for it is beyond the grasp of man]?

For we maintain that an individual is justified by faith distinctly apart from works of the Law [the observance of which has nothing to do with justification, that is, being declared free of the guilt of sin and made acceptable to God].

In the Lord, however, woman is not independent of man, and man is not independent of woman.