say "implication" instead of "argument"

reflexivity is given, so you don't have to prove that. you need only prove symmetry and transitivity." "

Reflexivity:

Symmetry ?

Transitivity ?

are my thoughts correct? and how do i show the last two??

thx

For symmetry: Hint: take x = z and see what happens in the given implication. You can use that to construct a direct proof of symmetry.

For transitivity: Hint: Take x = y and see what happens in the given implication. You can use that fact to do a proof by contradiction of transitivity.