can someone show me how to write a formal proof of equivalence relation?
I have the following problem:
Let us have a set A and a set B. Let . Now let us have relation R and T, where R has a relation on B and T has a relation on A with one condition, if and only if .
Proof: If R is an equivalence relation then T is an equivalence relation
Well if I need to prove this, I have no idea where to start. It looks pretty obvious to me that when something with R is an equivalence relation, then T is also an equivalence relation?
If not, can someone show me how to start? How to approach this problem?