Prove Lemma 3.5.1, that is, that during the execution of protocol HyperElect, the only duelists in stage

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Prove Lemma 3.5.1, that is, that during the execution of protocol HyperElect, the only duelists in stage i are the entities with the smallest id in one of the hypercubes of dimension i − 1 in Hk:i−1.

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