Not sure what I have proven. I gave you numbers and names of indexes that have historically beaten the S&P 500 index in the value category. All of those have

Not sure what I have proven. I gave you numbers and names of indexes that have historically beaten the S&P 500 index in the value category. All of those have one or more ETFs that replicate that index. There's an extensive amount of scientific literature talking about the outperformance of value and small caps to the broader market, starting from Nobel price winning Eugene Fama.