What is the classification for a rote saying like "there but for the grace of God.."? [duplicate]

A common saying like in Hindi "Juldi ka kaam shaitan ka" translation "Anything done in hurry has Satan's reflection in it. "

Something like truism, but it's meaning on google doesn't say what I mean. I want a word for "truism but useful."

How about proverb, adage, aphorism, or axiom?

Proverb: a brief popular saying (such as “Too many cooks spoil the broth”) that gives advice about how people should live or that expresses a belief that is generally thought to be true.

Adage: a traditional saying expressing a common experience or observation.

Aphorism: a short phrase that expresses a true or wise idea.

Axiom: a generally accepted proposition or principle, sanctioned by experience; maxim.

You can also see this list of synonyms for proverb.