The Lean 4 theorem `qgOneParticleHermite_friedrichs` in the `ChapterQgHermiteFriedrichs` chapter of the timepiece formalization
ProvedBookProof.QgHermiteFriedrichs.qgOneParticleHermite_friedrichstimepiece
The Lean 4 theorem qgOneParticleHermite_friedrichs in the ChapterQgHermiteFriedrichs chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQgHermiteFriedrichs.lean — theorem BookProof.QgHermiteFriedrichs.qgOneParticleHermite_friedrichs
import Mathlib
import Definitions.Def_ChapterQgHermiteFriedrichs
import Definitions.Def_ChapterSirkBandLedger
import Definitions.Def_ChapterRitzCertificate
import Theorems.Thm_BookProof_QgHermiteFriedrichs_continuous_scalaronW
import Theorems.Thm_BookProof_QgHermiteFriedrichs_expBounded_scalaronW
open BookProof.QgHermiteFriedrichs
open MeasureTheory Complex MvPolynomial
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.Starobinsky
open BookProof.FarisLavine BookProof.YangMillsFriedrichs BookProof.FriedrichsExtension
noncomputable section
variable {d : ℕ}
variable (W : Vd d → ℝ)Formal statement
theorem BookProof.QgHermiteFriedrichs.qgOneParticleHermite_friedrichs (M alpha : ℝ) (hM : 0 < M) (halpha : 0 < alpha) :
∃ (Dom : Submodule ℂ (L2d 1)) (A : Dom →ₗ[ℂ] L2d 1),
IsPositiveSelfAdjointExtension
(hamCore (scalaronW M alpha) (continuous_scalaronW M alpha)
(expBounded_scalaronW M alpha hM)) A := by sorrySource