Is righteousness and piety like Islam and faith in that if they come together, they separate?

Question:
He asks: Is this statement correct, that righteousness and piety are like Islam and faith, such that if they come together, they separate?

Answer:
No. He said that righteousness and piety mean the same thing. The righteous one is the pious one, and the pious one is the righteous one. "Those are the ones..." but righteousness is [defined as] one who believes in Allah and the Last Day, until he said at the end of the verse: "Those are the ones who told the truth, and those are the pious ones." This indicates that righteousness and piety are the same. Yes.