1. ## Equivalence relation problem

Define a relation Rf on X as follows.
( x1,x2)∈Rf iff f(x1)=f(x2)
f h
X→Y→X/Rf

I should prove that there exists exactly only one function h:y∈Y→X/Rf such that h is bijective, and h.f=quotient function

2. Originally Posted by phds216
Define a relation Rf on X as follows.
( x1,x2)∈Rf iff f(x1)=f(x2)
f h
X→Y→X/Rf

I should prove that there exists exactly only one function h:y∈Y→X/Rf such that h is bijective, and h.f=quotient function
What is "Y"? Isn't that important?