The Lean 4 theorem `harmonic_add_subquadratic_stone_flow` in the `ChapterHermiteQuadraticEsa` chapter of the timepiece formalization
ProvedBookProof.HermiteQuadraticEsa.harmonic_add_subquadratic_stone_flowtimepiece
The Lean 4 theorem harmonic_add_subquadratic_stone_flow in the ChapterHermiteQuadraticEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHermiteQuadraticEsa.lean — theorem BookProof.HermiteQuadraticEsa.harmonic_add_subquadratic_stone_flow
import Mathlib
import Definitions.Def_ChapterHermiteQuadraticEsa
open BookProof.HermiteQuadraticEsa
open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.QgHermiteFriedrichs
open BookProof.QgHermiteOscillator BookProof.FarisLavine BookProof.Starobinsky
open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent
noncomputable section
variable {d : ℕ}Formal statement
theorem BookProof.HermiteQuadraticEsa.harmonic_add_subquadratic_stone_flow {V : Vd d → ℝ} {a b : ℝ}
(hVc : Continuous V) (ha : 0 ≤ a) (ha1 : a < 1) (hb : 0 ≤ b)
(hV : ∀ x, |V x| ≤ a * harmW x + b)
(hsc : Continuous fun x => harmW x + V x) (hsb : ExpBounded fun x => harmW x + V x) :
∃ (T : UnboundedSelfAdjoint (L2d d)) (U : ℝ → (L2d d →L[ℂ] L2d d)),
IsSelfAdjointExtension (hamCore (fun x => harmW x + V x) hsc hsb) T.op ∧ IsStoneFlow T U := by sorrySource