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Lemma 7.2.4 already proved in Corollary 3.2.7
We should better prove it once in chapter 3.2 and refer to it in chapter 7.2.
Hmm... separating it out as a new lemma in chapter 3 would require #613, which no one else seems to want. But I guess 7.2.4 could refer to the proof of 3.2.7.
I propose that for the first edition we simply add a comment, #865. In the second edition we can clean it up a bit more.