Let A be a set. For every set B and total function f:A->B we define a relation R on A by R={(x,y) belonging to A*A:f(x)=f(y)}(adsbygoogle = window.adsbygoogle || []).push({});

*belonging to - because i dont know how to make the symbole....

Prove that f is one-to-one if and only if the equivalence classes of R are all singletones

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Discrete math - equivalence relation

**Physics Forums | Science Articles, Homework Help, Discussion**