`BookProof.SqueezedGaussStates.Acoef_le_pow` (v : ℝ) (M : ℕ) : Acoef v M ≤ (4 * v ^ 2) ^ M

Proved

BookProof.SqueezedGaussStates.Acoef_le_pow

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSqueezedGaussStates.

BookProof.SqueezedGaussStates.Acoef_le_pow (v : ℝ) (M : ℕ) : Acoef v M ≤ (4 * v ^ 2) ^ M

Formalization note: Lean 4 identifier BookProof.SqueezedGaussStates.Acoef_le_pow.

Preamble

-- Generated from ChapterSqueezedGaussStates.lean — theorem BookProof.SqueezedGaussStates.Acoef_le_pow
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterGaussCoordCombo
import Mathlib
import Definitions.Def_ChapterSqueezedGaussStates
open BookProof.SqueezedGaussStates



open MvPolynomial BookProof.HermiteProductCore BookProof.GaussCoordCombo

noncomputable section

variable {d : ℕ}

Formal statement

theorem BookProof.SqueezedGaussStates.Acoef_le_pow (v : ℝ) (M : ℕ) : Acoef v M ≤ (4 * v ^ 2) ^ M := by sorry

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