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snake lemma
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The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences.
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Abelian categories are very stable categories, for example they are regular and they satisfy the snake lemma.
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The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance in algebraic topology.
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Examples of proofs by diagram chasing include those typically given for the five lemma, the snake lemma, the zig-zag lemma, and the nine lemma.
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