Modularity and compositionality in verification frameworks occur within different contexts: the model that is the verification target, the specification of the stipulated properties, and the employed verification principle. We give a representative overview of mechanisms to achieve modularity and compositionality along the three mentioned contexts and analyze how mechanisms in different contexts are related. In many verification frameworks one of the contexts carries the main burden. It is important to clarify these relations to understand the potential and limits of the different modularity mechanisms.