 The Falsification Theorem applies whenever the evidence stream includes possible outcomes that may falsify the alternative hypothesis. However, it completely ignores the influence of any experiments or observations in the evidence stream on which hypothesis \(h_j\) is fully outcome-compatible with hypothesis \(h_i\). We now turn to a theorem that applies to those evidence streams (or to parts of evidence streams) consisting only of experiments and observations on which hypothesis \(h_j\) is fully outcome-compatible with hypothesis \(h_i\). Evidence streams of this kind contain no possibly falsifying outcomes. In such cases the only outcomes of an experiment or observation \(c_k\) for which hypothesis \(h_j\) may specify 0 likelihoods are those for which hypothesis \(h_i\) specifies 0 likelihoods as well. 