'Basis' in the Bible

And on the basis of faith in His name, it is the name of Jesus which has strengthened this man whom you see and know; and the faith which comes through Him has given him this perfect health in the presence of you all.

When they had threatened them further, they let them go (finding no basis on which to punish them) on account of the people, because they were all glorifying God for what had happened;

But if it is by grace, it is no longer on the basis of works, otherwise grace is no longer grace.

and may be found in Him, not having a righteousness of my own derived from the Law, but that which is through faith in Christ, the righteousness which comes from God on the basis of faith,

Do not receive an accusation against an elder except on the basis of two or three witnesses.

He saved us, not on the basis of deeds which we have done in righteousness, but according to His mercy, by the washing of regeneration and renewing by the Holy Spirit,

Now if perfection was through the Levitical priesthood (for on the basis of it the people received the Law), what further need was there for another priest to arise according to the order of Melchizedek, and not be designated according to the order of Aaron?

who has become such not on the basis of a law of physical requirement, but according to the power of an indestructible life.