Prove ∀ n ≥ 1 ∃ n^n Latin Square
More explanation please, and use words instead of non-standard characters which not everyone can see.
(Alternativly you could learn how to use LaTeX on this site, see the tutorial )
My guess is that you mean:
"Prove that for all positive integers n there exists an nxn latin square."
However that is not quite consistent with that part of your question that I can read.