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`BookProof.ChapterGleasonPureMixed.pure_vs_mixed_gleason_contrast` : (¬ ∃ ρ : Matrix (Fin 2) (Fin 2) ℝ, IsPureState ρ ∧ E ρ P0 = 1/2 ∧ E ρ Q = 1/2) ∧ (∃ ρ : Matrix (Fin 2) (Fin 2) · Prove2Me