(q w : MvPolynomial (Fin D) ℂ) : |(gaussInt (cpoly q * w)).im| ≤ ‖pgLp q‖ * ‖pgLp w‖

Proved

BookProof.SqSumFarisLavine.abs_im_gaussInt_le

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

faris-lavinespectral-theorytimepiece

Lean 4 theorem BookProof.SqSumFarisLavine.abs_im_gaussInt_le (module BookProof.SqSumFarisLavine), source chapter BookProof/ChapterSqSumFarisLavine.lean.

Preamble

-- Generated from ChapterSqSumFarisLavine.lean — theorem BookProof.SqSumFarisLavine.abs_im_gaussInt_le
import Mathlib
import Definitions.Def_ChapterSqSumFarisLavine
open BookProof.SqSumFarisLavine












open Finset MvPolynomial
open BookProof.HermiteProductCore BookProof.QgHermiteCore BookProof.QgHermiteFriedrichs
open BookProof.FarisLavine
open BookProof.GaussCoreQuadBounds

noncomputable section

variable {D : ℕ} {R : Type*} [Fintype R]

Formal statement

theorem BookProof.SqSumFarisLavine.abs_im_gaussInt_le (q w : MvPolynomial (Fin D) ℂ) :
    |(gaussInt (cpoly q * w)).im| ≤ ‖pgLp q‖ * ‖pgLp w‖ := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterSqSumFarisLavine.lean

View graph