There is no way for you to prove that Chauvin etc. would not have been prosecuted if the protests were undiminished in size (which is to say, Global!) and free of violence There is no way to prove that the violence was necessary to explain the prosecutions. Try to prove that the people instigating violence in the BLM movement were committed to the BLM movement and weren't just opportunistic anarchists or - at best, but still in the cowardly category -uninvited sympathetic provacateurs.