You do mean that, but it doesn't have a lot of bearing on the correctness of your argument. I suspect you've assumed that wealth is neither created or destroyed somewhere in your logic, because what you are saying would make sense if that was an assumption. But that would be a poor assumption if you've made it.

CPI is a tool for adjusting the value of a dollar, but it doesn't have any bearing on the value of the total economy vs the value of all the dollars in existence. All the dollars in existence might buy the entire economy many times over or they might buy a tiny fraction of it. And that ratio changes continuously (both from money creation and economic activity). There is no inverse relationship mediated by the CPI.