In algebra, a lemma is a proven statement or proposition that is used as a stepping stone to demonstrate a larger theorem or more complex result. Lemmas are often simpler and more specific than theorems, providing necessary support or foundational results that help prove more significant mathematical claims. The main characteristics of a lemma include: 1. **Supporting Role**: Lemmas are not typically the main focus of mathematical work; rather, they support the development of more substantial results (theorems).
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