I just need help getting started on this question. the first line (or two) is eluding me:
Let R be a relation on A and suppose that R is symmetric and transitive. Prove thefollowing:
If, for all xE A, there is yE A such that xRy, then R is an equivalence relation.
where xE A and yE A mean x and y are elements of A.
I know i have to prove reflexitivity, and I only have this written down...my mind has stopped working:
Let xE A, then R is an equivalence relation
=> (nothing written here...i'm stumped)
any help would be appreciated. Thank you