The Lean 4 theorem `harmonicCore_stone_flow` in the `ChapterQgHermiteOscillatorEsa` chapter of the timepiece formalization
ProvedBookProof.QgHermiteOscillator.harmonicCore_stone_flowtimepiece
The Lean 4 theorem harmonicCore_stone_flow in the ChapterQgHermiteOscillatorEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQgHermiteOscillatorEsa.lean — theorem BookProof.QgHermiteOscillator.harmonicCore_stone_flow
import Mathlib
import Definitions.Def_ChapterQgHermiteOscillatorEsa
open BookProof.QgHermiteOscillator
open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.QgHermiteCore BookProof.QgHermiteFriedrichs BookProof.FarisLavine
open BookProof.StoneBridge BookProof.EsaClosure BookProof.ChapterStoneResolvent
noncomputable section
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
{ι : Type*} {D : Submodule ℂ F}
variable {d : ℕ}Formal statement
theorem BookProof.QgHermiteOscillator.harmonicCore_stone_flow :
∃ (T : UnboundedSelfAdjoint (L2d d)) (U : ℝ → (L2d d →L[ℂ] L2d d)),
IsSelfAdjointExtension (harmCore (d := d)) T.op ∧ IsStoneFlow T U := by sorrySource