'Based' in the Bible

Now I want you to know, brothers, that the gospel preached by me is not based on human thought.

But the law is not based on faith; instead, the one who does these things will live by them.

For if the inheritance is based on law, it is no longer based on a promise; but God has granted it to Abraham by means of a promise.

Is the Law then contrary to the promises of God? May it never be! For if a law had been given which was able to impart life, then righteousness would indeed have been based on law.

However, the holy Writings have put all things under sin, so that that for which God gave the undertaking, based on faith in Jesus Christ, might be given to those who have such faith.