The Lean 4 theorem `quadOpMat_essentiallySelfAdjoint` in the `ChapterQuadraticRotationEsa` chapter of the timepiece formalization
ProvedBookProof.QuadraticRotation.quadOpMat_essentiallySelfAdjointformalizationtimepiece
Formal statement of BookProof.QuadraticRotation.quadOpMat_essentiallySelfAdjoint from the timepiece Lean 4 formalization.
Preamble
-- Generated from ChapterQuadraticRotationEsa.lean — theorem BookProof.QuadraticRotation.quadOpMat_essentiallySelfAdjoint
import Definitions.Def_ChapterHermiteProductBasis
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterNavierStokesDifferentialL2
import Definitions.Def_ChapterHyperbolicQuadraticEsa
import Mathlib
import Definitions.Def_ChapterQuadraticRotationEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterHermiteProductCore
open BookProof.HermiteProductCore
open BookProof.QuadraticRotation
open MeasureTheory MvPolynomial Matrix
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.FarisLavine
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.HyperbolicQuadratic
noncomputable section
variable {d : ℕ}Formal statement
theorem BookProof.QuadraticRotation.quadOpMat_essentiallySelfAdjoint {A : Matrix (Fin d) (Fin d) ℝ} (hA : A.IsHermitian) :
EssentiallySelfAdjointOn (polyGaussCore (d := d)) (quadOpMat A) := by sorrySource