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`BookProof.QgMultiHalfDensity.mpUnitary_apply` (hPhi : MeasurePreserving Phi mu nu) (hPsi : MeasurePreserving Psi nu mu) (hinv : ∀ᵐ x ∂mu, Psi (Phi x) = x) (g : Lp ℂ 2 nu) : (mpUni · Prove2Me