Segal's lemma. Its formulation and proof.




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    In several papers a result called Segal's lemma appears. This result is Lemma~1.4 in I.~E.~Segal's paper Construction of nonlinear local quantum processes~I. in Annals of Math.~92 (1970) 462--481. Here I describe a slightly modified and more detailed formulation and proof of this result. I present a slighly different version of Segal's proof. I finish this note with the original formulation and proof of Segal's result.

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