A corollary is a statement or proposition that follows logically from a previously established statement or theorem. In mathematics, for example, if a theorem is proven, a corollary can be derived from it, often providing additional insights or applications. Corollaries help to expand understanding and demonstrate the implications of the original theorem. In everyday language, a corollary can refer to a natural consequence or result of an action or situation. For instance, if exercise is shown to improve health, a corollary might be that regular exercise can lead to increased energy levels. This illustrates how corollaries can connect ideas and outcomes in various contexts.