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`BookProof.DensitySpectral.density_iff_exists_unitary_diagonal` (ρ : Matrix n n ℂ) : IsDensityMatrix ρ ↔ ∃ (U : Matrix.unitaryGroup n ℂ) (d : n → ℝ), (∀ i, 0 ≤ d i) ∧ (∑ i,... · Prove2Me