[Merged by Bors] - feat: the snake lemma #8084
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Co-authored-by: Johan Commelin <johan@commelin.net>
Co-authored-by: Johan Commelin <johan@commelin.net>
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Note: the construction may seem to contain many auxiliary definitions like
φ₁,φ₂, etc. They may not all be absolutely necessary in order to prove the snake lemma, but later it will make proofs slightly easier in the study of the functoriality of the connecting homomorphism.