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In linear algebra, a lemma is a proven statement or proposition that is used as a stepping stone to prove larger or more complex theorems. Lemmas often simplify the process of proving more substantial results by breaking them down into manageable components. Here are a few key points regarding lemmas in linear algebra: 1. **Purpose**: Lemmas are typically used to establish intermediate results that help in the proof of a main theorem.

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  1. Theorems in linear algebra
  2. Linear algebra
  3. Algebra
  4. Fields of mathematics
  5. Mathematics
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