 This theorem provides sufficient conditions for the likely refutation of false alternatives via exceeding small likelihood ratios. The conditions under which this happens characterize the degree to which the hypotheses involved are empirically distinct from one another. The theorem says that when these conditions are met, according to hypothesis \(h_i\) (taken together with \(b\cdot c^n)\), the likelihood is near 1 that that one of the outcome sequence \(e^n\) will occur for which the likelihood ratio is smaller than \(\varepsilon\) (for any value of \(\varepsilon\) you may choose). The likelihood of getting such an evidential outcome \(e^n\) is quite close to 1—i.e., no more than the amount 