Earlier quoted context omitted.
Wages aren't the only input to inflation. It's not axiomatic that these three cannot be met simultaneously.
It also doesn't account for wage disparities. Even if I accept the premise that wages cannot increase without increasing either unemployment or inflation, it still doesn't follow that increasing the minimum wage imposes the same requirement. Under that model, employment/inflation could also be kept constant by increasing wages to workers while decreasing wages to management, or by increasing wages to both workers and…
Increasing the minimum wage has the most dramatic impact on increasing the demand for goods because it impacts so many people. Increasing the maximum wage has little if any impact on broader demand for goods because it impacts so few. Unless your supply chain can keep up with the demand surge through raised wages, you will see inflation, which is our situation today.
You might naively assume the solution is to introduce price controls but the general outcome of that is the economy shifting transactions to barter-based, black markets, and non-denominated currency exchange, which causes more economic upheaval as GPD and tax revenues drop. There are many examples of this in the last 100 years, Venezuela being a recent one.