- #1
tukilala
- 3
- 0
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 don't 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 don't 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