The Lean 4 theorem `hamCore_quadForm_nonneg` in the `ChapterQgHermiteFriedrichs` chapter of the timepiece formalization
ProvedBookProof.QgHermiteFriedrichs.hamCore_quadForm_nonnegtimepiece
The Lean 4 theorem hamCore_quadForm_nonneg in the ChapterQgHermiteFriedrichs chapter of the timepiece formalization.
Preamble
-- Generated from ChapterQgHermiteFriedrichs.lean — theorem BookProof.QgHermiteFriedrichs.hamCore_quadForm_nonneg
import Mathlib
import Definitions.Def_ChapterQgHermiteFriedrichs
import Definitions.Def_ChapterSirkBandLedger
import Definitions.Def_ChapterRitzCertificate
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.hamCore_quadForm_nonneg (hWc : Continuous W) (hWb : ExpBounded W)
(hW0 : ∀ x, 0 ≤ W x) (x : (polyGaussCore (d := d))) :
0 ≤ quadForm (hamCore W hWc hWb) x := by sorrySource