The Lean 4 theorem `quadOp_add_firstOrder_essentiallySelfAdjoint` in the `ChapterHermiteRelativeBound` chapter of the timepiece formalization
ProvedBookProof.HermiteRelative.quadOp_add_firstOrder_essentiallySelfAdjointtimepiece
The Lean 4 theorem quadOp_add_firstOrder_essentiallySelfAdjoint in the ChapterHermiteRelativeBound chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHermiteRelativeBound.lean — theorem BookProof.HermiteRelative.quadOp_add_firstOrder_essentiallySelfAdjoint
import Mathlib
import Definitions.Def_ChapterHermiteRelativeBound
open BookProof.HermiteRelative
open MeasureTheory MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.FarisLavine
open BookProof.NavierStokesFlow.DifferentialL2
open BookProof.HyperbolicQuadratic
noncomputable section
variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E] {ι : Type*}
variable {d : ℕ}Formal statement
theorem BookProof.HermiteRelative.quadOp_add_firstOrder_essentiallySelfAdjoint (c : Fin d → ℝ) {c0 : ℝ} (hc0 : 0 < c0)
(hc : ∀ i, c0 ≤ c i) (b b' : Fin d → ℝ) :
EssentiallySelfAdjointOn (polyGaussCore (d := d)) (quadOp c + foOp b b') := by sorrySource