A Quick Argument Against Universal Healthcare

I'm sitting in a restaurant with my family, so I don't have much time, but an idea just came to me and I feel I must write it down. Proponents of universal healthcare argue that everyone has a RIGHT to healthcare. They fail to answer who is to provide it though. Healthcare is a service that is created by people. There is no RIGHT to the services of others; that would mean enslavement. Proponents of universal healthcare are forgetting that in order for there to be a right to healthcare, there must be a right to the services of others, ie, there must be a right to enslave others in service to yourself. Naturally this is absurd. Every argument for universal healthcare can be shut down by simply asking, "who is to provide it?" "Who must we force to do it?"