For electrolysis to occur, does the top right, bottom left rule still have to hold for electrolytic cells? (so the oxidant's E-value must be above the reductant's E-value)? Our notes says yes but the book's examples/questions suggests that it doesn't have to be http://m.imgur.com/a/PgXDn (a question I did, oxidant was below the reductant?)
Since we're applying a voltage because elctrolytic cells aren't spontaneous, wouldn't the position of the oxidant relative to the reductant on the electrochemical series be irrelevant? Since this voltage provided is going to force the reaction to occur regardless?
Thanks
Forgive me if I'm a bit rusty, but I'll try to help you out

For a regular galvanic cell, there's the top left, bottom right rule. Electrolysis is the opposite, so top right, bottom left, like if the initial reaction has finished leaving the two products that wouldn't spontaneously react. Electrolysis is a bit like one of those wind up cars that you drag backwards across the floor (the electrolysis part) and then you let go and it goes forwards until it stops (the spontaneous reaction). I think of electrolysis as forcing the electrons out of the top right and then pushing them into the bottom left, which then gives them energy that they would later use to react spontaneously.
So the top right is undergoing oxidation aka is the reductant, and the bottom left is undergoing reduction, aka is the oxidant, so, to answer your question, the oxidant and the reductant is 'flipped' in this scenario as the species that would normally under reduction undergoes oxidation and vice versa, so the oxidant in this case is below the reductant's E-value. If, after electrolysis, they were allowed to react however, the oxidant would be above the reactant.
The position of the reductant to the oxidant is only important as if the oxidant is above the reductant, the reaction would occur spontaneously, meaning no need for electrolysis to happen.
Hope this helps a little bit, and I hope I didn't confuse you
