'Righteousness' in the Bible

I do not make void the grace of God, for if righteousness be through law -- then Christ died in vain.

according as Abraham did believe God, and it was reckoned to him -- to righteousness;

the law, then, is against the promises of God? -- let it not be! for if a law was given that was able to make alive, truly by law there would have been the righteousness,

for we by the Spirit, by faith, a hope of righteousness do wait for,