Government run and mandated health care IS socialized medicine.
Just like any other sector of the economy that can be and should be privately and competitively run by either private or publicly owned corporations or individuals.
Look at Cuba...
Look at the old East Germany...
Look at the old Soviet Union...
Look at any other commie loving country with a domineering and overbearing government.
Name one Government run and owned enterprise that consumes NO tax dollars... and turns a profit purely based on the quality of services it offers without enjoying a government mandated monopoly status? And that doesn't force one group to buy its own services as well as pay for those of another who aren't required to pay their fair share.
And Robin Hood was not an upstanding citizen, robbery is robbery.