Correlation does not equal causation. While yes, you can "prove a negative," you can't prove a non-existing thing without a doubt.
In other words -
An increase in homicides can't be - without a doubt - be attributed to fewer police stops. The two might be happening concurrently, but one can't be attributed to the other. In fact, it could be just the opposite: maybe because there are more homicides, the police have less time and fewer resources to do stops. You can't prove that either, without a doubt. But it is evident of the logical fallacy of creating causation based only on correlation.
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