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Chapter 6, especially Sections 6.2, 6.4, 6.5]. The result itself is a slight generalization of [Cra75, Lemma 6]. We could prove it by reducing to the case of the just cited lemma (see Remark 6.3.2), but [...] we just have to apply the above to the case X =XF .
Remark 6.3.6: Of course Lemma 6.3.5 can also be used to imply Corollary 6.3.4.
Lemma 6.3.7: Let F be a real field and C be the class of hereditarily [...] anisotropic for every π ∈ P},
which is admissible by Lemma 6.3.3, Corollary 6.3.5 and Lemma 6.3.8.
Remark 6.3.12: We can give another proof for Proposition 6.2.14 using the just developed techniques. To do so …