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`BookProof.ChapterA.conjugation_avg_antifixed` (θ : AntiUnitary V) (hθ : ∀ x, θ (θ x) = x) (x : V) : θ ((2⁻¹ : ℂ) • (x - θ x)) = -((2⁻¹ : ℂ) • (x - θ x)) · Prove2Me