[en] Shortly after Fleischmann and Pons made their announcement, a myth was created by people who could not accept their claims. This myth stated that the claims were impossible and could not be replicated. Like most myths, this one was not true at the time it was created and continues to grow even less true today. Replication has become easy using some methods and evidence has now reached a quality typical of that accepted in other fields of science. From the beginning of the field in 1989, people used the term 'Cold Fusion' to describe what was proposed to happen when anomalous power was observed using, usually, an electrolytic cell. Such a term was accurate when D-D fusion was thought to be the source of energy. However, now many other kinds of nuclear reactions have been observed. Therefore, a more general and accurate term is Low Energy Nuclear Reactions (LENR). If one wishes to emphasize the mechanism, the term Chemically Assisted Nuclear Reactions (CANR) can be used instead. The general field of study founded by Fleischmann and Pons is now known as Condensed Matter Nuclear Science. The four reaction paths for fusion are reminded. Four anomalous effect are listed as included in the LENR process: anomalous heat production; energetic particles as expected reaction products; nuclear transmutation produced by fusion; electromagnetic radiation such as X-ray and gamma ray. These effects are analysed thoroughly in four sections of the paper. Mentioned is also a so-called biological transmutation effect reported in the literature. A discussion is given in the frame of the following items: Reproducibility; Energy production rate; Relation to other observations; Theory requirements. The paper concludes with the following two questions: What we know to be true? and What do we hope to be true?