The New righteousness supersedes that of the old.
And we human sometimes think the old righteousness as been abolished by the LORD JESUS, or think the old commandments are no longer in existence even in our generation.

In the book of Matthew gospel chapter 5 verse 17. JESUS said,
"Think not that I am come to destroy the law, or the prophets: I am not come to destroy, but to fulfil."

Matthew 5:18 KJV
For verily I say unto you, Till heaven and earth pass, one jot or one title shall in no wise pass from the law, till all be fulfilled.

Matthew 5:21,22 KJV
21. Ye have heard that it was said by them of old time, Thou shalt not kill; and whosoever shall kill shall be in danger of the judgment:
22. But I say unto you, That whosoever is angry with his brother without a cause shall be in danger of the judgment: and whosoever shall say to his brother, Raca, shall be in danger of the council: but whosoever shall say, Thou fool, shall be in danger of hell fire.

Matthew 5:27,28 KJV
27. Ye have heard that it was said by them off old time, Thou shalt not commit adultery:
28. But I say unto you, That whosoever looketh on a woman to lust after her hath committed adultery with her already in his heart.

Matthew 5:31,32 KJV
31. It hath been said, Whosever shall put away his wife, let him give her a writing of divorcement:
32. But I say unto you, That whosoever shall put away his wife, saving for the cause of fornication, causeth her to commit adultery: and whosoever shall marry her that is divorced committeth adultery.

Matthew 5:33-37 KJV
33. Again, ye have heard that it hath been said by them of old time, Thou shalt not forswear thyself, but shalt perform unto the Lord thine oaths:
34. But I say unto you, Swear not at all; neither by heaven; for it is God's throne:
35. Nor by the earth; for it is his footstool: neither by Jerusalem; for it is the city of the great King.
36. Neither shall thou swear by thy head, because thou canst not make one hair white or black.
37. But let your communication be, Yea, yea; Nay, nay: for whatsoever is more than these cometh evil.

Matthew 5:38,39 KJV
38. Ye have heard that it hath been said, An eye for an eye, and a tooth for a tooth:
39. But I say unto you, That ye resist no evil: but whosoever shall smite thee on thy right cheek, turn to him the other also.

Matthew 5:43-47 KJV
43. Ye have heard that it hath been said, Thou shalt love thy neighbour, and hate thine enemy.
44. But I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you;
45. That ye may be the children of your Farther which is in heaven: for he maketh his sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust.
46. For if ye love them which love you, what reward have ye? do not even the publicans the same?
47. And if ye salute your brethren only, what do ye more than others? do not even the publicans so?

Here we can see the standard of righteousness our LORD has set.

"Be ye therefore perfect, even as your Father which is in heaven is perfect." (Matthew 5:48).