This is often cited in publications that generally support a higher minimum wage. It is unfortunate that this is never challenged as there are studies that show that an increase in minimum wage does in fact result in lower employment:
> Raising the minimum wage would increase family income for many low-wage workers, moving some of them out of poverty. But some jobs for low-wage workers would probably be eliminated and the income of those workers would fall substantially. [0]
Logic itself would suggest that an increase in minimum wage would result in at least some unemployment:
No employer would hire you if you make them less than the amount that they have to pay you. There are people that make more than the old minimum wage and less than the new proposed minimum wage. Therefore, those employment opportunities will no longer exist. It may not happen overnight as there is some momentum, but you can't deny this effect. Also, you can't exactly measure the people that would have been hired with a lower minimum wage.
The other interesting this is how vernacular plays such a strong role in people's opinions. Imagine if "minimum wage" was replaced with "prohibition of employees whose contributions to employers is less than the mandated minimum amount of finding legal employment"