'Righteousness' in the Bible

filled with the fruit of righteousness which comes through Jesus Christ, to the glory and praise of God [so that His glory may be both revealed and recognized].

as to my zeal [for Jewish tradition], a persecutor of the church; and as to righteousness [supposed right living] which [my fellow Jews believe] is in the Law, I proved myself blameless.

and may be found in Him [believing and relying on Him], not having any righteousness of my own derived from [my obedience to] the Law and its rituals, but [possessing] that [genuine righteousness] which comes through faith in Christ, the righteousness which comes from God on the basis of faith.