Yes. Half a dozen studies have reached exactly the same conclusion. That suggests the carbon price has reduced emissions from where they would have been without the carbon price. This is not rocket science—the price of gasoline goes up, the price of natural gas goes up, and you expect people to use less of it.
We have thousands of studies on what we call “energy demand elasticities”—demands for natural gas or gasoline or diesel as the price of those fuels goes up or down. We can also use those studies to try to make some inferences. It's not as if a single study came out with this conclusion; there's now quite a robust body of evidence to support this finding.