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## Main Question or Discussion Point

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)}

*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

*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