EPR demonstrated that if you insist on locality and experiments having results in accordance with quantum predictions, then there must be pre-existing elements

EPR demonstrated that if you insist on locality and experiments having results in accordance with quantum predictions, then there must be pre-existing elements of reality that determine the results. Bell demonstrated that pre-existing elements of reality and the quantum results of experiments are incompatible with locality. The two together imply that if you assume experiments have results when we say they do in the way quantum mechanics predicts, then there is something nonlocal going on. Hidden variable theories do not add to nor remove the problem of non locality though Bohmian mechanics makes it very clear what the mechanism is. Many worlds gets around this since experiments do not have definite results in that theory. Instead, the experimenter splits into multiple copies, each of which thinks there is a result of the experiment, but that is an illusion.