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BookProof.QgMultiHalfDensity.qgProd_ae_inv'

Proved
BookProof.QgMultiHalfDensity.qgProd_ae_inv_prime

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

BookProof.QgMultiHalfDensity.qgProd_ae_inv'

Preamble
-- Generated from ChapterQgMultiHalfDensity.lean — theorem BookProof.QgMultiHalfDensity.qgProd_ae_inv'
import Definitions.Def_ChapterNavierStokesFockContinuum
import Mathlib
import Definitions.Def_ChapterQgMultiHalfDensity
import Definitions.Def_ChapterQuantumGravityHalfDensity
import Definitions.Def_ChapterScalaronDensitizedTransfer
open BookProof.QuantumGravityHalfDensity
open BookProof.ScalaronDensitized
open BookProof.QgMultiHalfDensity



open MeasureTheory Set
open BookProof.NavierStokesFlow.FockContinuum
open BookProof.QuantumGravityHalfDensity

noncomputable section

variable {X Y : Type*} [MeasurableSpace X] [MeasurableSpace Y]
  {mu : Measure X} {nu : Measure Y} {Phi : X → Y} {Psi : Y → X}
variable {g : Y → ℝ}
variable {X : Type*} [MeasurableSpace X] (mu : Measure X)
Formal statement
theorem BookProof.QgMultiHalfDensity.qgProd_ae_inv_prime :
    ∀ᵐ p ∂(BookProof.ScalaronDensitized.physMeasure.prod mu),
      qgProdSquare (qgProdSqrt p) = p := by sorry

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