I asked this question on Math.Stackexchange, this, can I ask here. I have done little research on proving for the general case of nvariables other than mentioned in my answer.
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8$\begingroup$ One small problem is that the notation 'cyc' of the question is unexplained. (Don't bother explaining; I already clicked further back and found out.) But no, I think the level of this question would probably be considered too low for MO. "Research level" may be taken to refer to research of professional mathematicians and PhD candidates. $\endgroup$– Todd Trimble ModAug 30, 2014 at 11:57

5$\begingroup$ Also, questions of the form 'please check my proof' are usually frowned upon. $\endgroup$– HJRWAug 31, 2014 at 17:34
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