The Lean 4 theorem `expBounded_of_growth_bound` in the `ChapterHermiteQuadraticEsa` chapter of the timepiece formalization
ProvedBookProof.HermiteQuadraticEsa.expBounded_of_growth_boundtimepiece
The Lean 4 theorem expBounded_of_growth_bound in the ChapterHermiteQuadraticEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHermiteQuadraticEsa.lean — theorem BookProof.HermiteQuadraticEsa.expBounded_of_growth_bound
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.expBounded_of_growth_bound {U : Vd d → ℝ} {A Ccoef B : ℝ} (hA : 0 ≤ A)
(hC : 0 ≤ Ccoef) (hB : 0 ≤ B)
(hU : ∀ x, |U x - harmW x| ≤ A * ‖x‖ ^ 2 + Ccoef * ‖x‖ + B) :
ExpBounded U := by sorrySource