The Lean 4 theorem `quadOp_add_boundedPotential_essentiallySelfAdjoint` in the `ChapterHyperbolicQuadraticEsa` chapter of the timepiece formalization
ProvedBookProof.HyperbolicQuadratic.quadOp_add_boundedPotential_essentiallySelfAdjointtimepiece
The Lean 4 theorem quadOp_add_boundedPotential_essentiallySelfAdjoint in the ChapterHyperbolicQuadraticEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHyperbolicQuadraticEsa.lean — theorem BookProof.HyperbolicQuadratic.quadOp_add_boundedPotential_essentiallySelfAdjoint
import Mathlib
import Definitions.Def_ChapterHyperbolicQuadraticEsa
open BookProof.HyperbolicQuadratic
open MeasureTheory MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.FarisLavine
open BookProof.NavierStokesFlow.DifferentialL2
noncomputable section
variable {d : ℕ}
open scoped ENNReal inFormal statement
theorem BookProof.HyperbolicQuadratic.quadOp_add_boundedPotential_essentiallySelfAdjoint (c : Fin d → ℝ)
(W : MeasureTheory.Lp ℂ (⊤ : ℝ≥0∞) (volume : Measure (Vd d)))
(hW : ∀ᵐ x ∂(volume : Measure (Vd d)), (starRingEnd ℂ) (W x) = W x) :
EssentiallySelfAdjointOn (polyGaussCore (d := d))
(quadOp c + ((BookProof.StrichartzWave.mulL2 W).toLinearMap ∘ₗ
(polyGaussCore (d := d)).subtype)) := by sorrySource