It isn't simply looking at one data point; there are economic fundamentals that demonstrate that this will occur. Just grab any Econ 101 textbook. Granted, it isn't a straight-up loss, as there is some income re-distribution that occurs, putting more money in the pockets of low-wage earners.
It's never been clear to me why this is so controversial. If I have organized my business around the fact that I am getting $10.50 worth of production from workers that I pay $10.00, then suddenly I have to pay those same workers $14.00, the math no longer works. Someone will be out of work, or I'll be out of business, period.