(p : MvPolynomial (Fin D) ℂ) : 0 ≤ quadForm harmCore ⟨pgLp p, pgLp_mem_core p⟩

Proved

BookProof.GaussCoreQuadBounds.quadForm_harm_nonneg

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

timepiece

Lean 4 theorem BookProof.GaussCoreQuadBounds.quadForm_harm_nonneg (module BookProof.GaussCoreQuadBounds), source chapter BookProof/ChapterGaussCoreQuadBounds.lean.

Preamble

-- Generated from ChapterGaussCoreQuadBounds.lean — theorem BookProof.GaussCoreQuadBounds.quadForm_harm_nonneg
import Mathlib
import Definitions.Def_ChapterGaussCoreQuadBounds
import Definitions.Def_ChapterQgHermiteOscillatorEsa
open BookProof.GaussCoreQuadBounds








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

noncomputable section

variable {D : ℕ}

Formal statement

theorem BookProof.GaussCoreQuadBounds.quadForm_harm_nonneg (p : MvPolynomial (Fin D) ℂ) :
    0 ≤ quadForm harmCore ⟨pgLp p, pgLp_mem_core p⟩ := by sorry

Source

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

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