Somebody correct me if I'm wrong here.
Well, we do have an experiment going on where we apparently increase the CO2 concentration in the atmosphere and wait to see what happens. 50 to 100 years should provide a good indication. After we correct for the sun and all other drivers, of course.
They will say that warming does produce CO2, but to some extent CO2 also causes warming. Al Gore doesn’t even understand what the so-called “climate scientists” are claiming.
Yes, in the ice cores, representing tens and hundreds of thousands of years, since the recent era of intermittent ice ages began, CO2 lags temperature changes. In the much longer time-scale measurements (hundreds of millions of years), there’s very little correlation. These time scales I alluded to aren’t much useful for showing which led which, but they demonstrate the idiocy of the notion that CO2 is proportional to atmospheric temperature.