UML diagrams describe different views of one piece of software. These diagrams strongly depend on each other and must therefore be consistent with one another, since inconsistencies between diagrams may be a source of faults during software development activities that rely on these diagrams. It is therefore paramount that consistency rules be defined and that inconsistencies be detected, analyzed and fixed. The relevant literature shows that authors typically define their own UML consistency rules, sometimes defining the same rules and sometimes defining rules that are already in the UML standard. The reason might be that no consolidated set of rules that are deemed relevant by authors can be found to date. The aim of our research is to provide a consolidated set of UML consistency rules and obtain a detailed overview of the current research in this area. We therefore followed a systematic procedure in order to collect and analyze UML consistency rules. We then consolidated a set of 116 UML consistency rules (avoiding redundant definitions or definitions already in the UML standard) that can be used as an important reference for UML-based software development activities, for teaching UML-based software development, and for further research.