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I am interested in the history of five lemma. Who was first to prove it and What was the purpose of proving it ?

http://en.wikipedia.org/wiki/Five_lemma

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Do you know Weibel's note on the history of Homological Algebra? See page 17:

The familiar "five-lemma" occurs for the first time on p. 16 of [ES]. (Its companion, the "snake lemma", first appeared in [CE].)

Nobody who looked at Cartan-Eilenberg book has been disappointed. It's an evergreen, no matter if it is 60 years old! :)

[ES]: S. Eilenberg and N. Steenrod, Foundations of algebraic topology, Princeton U. Press, Princeton, 1952.

[CE]: H. Cartan and S. Eilenberg, Homological Algebra, Princeton U. Press, 1956.

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