I am trying to prove this relation, but I just cant. I know it is true, but I can not prove it, because I dont know how. Can someone give me some pointers.
$(a,b) = (c,d) \land (c,d)=(e,f) \implies (a,b)=(e,f)$
Thanks???
EDIT:
This is the part of bigger assingment that I am doing. You can find more here Proving that $(a_1, b_1)\sim(a_2, b_2)\Leftrightarrow\ a_1=a_2\land b_1=b_2$
Bassicly I need to prove that the given relation is transitive, and that is what I am trying to do here in this expression, but I just dont know how to do it.