Is the Prophetic Hadith: "A friend in need is a friend indeed" authentic?

This phrase is not a prophetic hadith (definition); rather, it is a popular saying among common people, and it is impermissible to attribute it to the Prophet, peace and blessings be upon him. The Prophet warned against this, saying: "Whoever attributes to me what I have not said, let him take his seat in the Fire." There are authentic hadiths that suffice and render such phrases unnecessary, such as his, peace and blessings be upon him, saying: "A Muslim is the brother of a Muslim; he neither wrongs him nor abandons him. And whoever is in the need of his brother, Allah will be in his need..."