`BookProof.QgOuterFockFL.qgOuterFriedN_quadForm_nonneg` (x : qgOuterFriedDom) : 0 ≤ quadForm qgOuterFriedN x
ProvedBookProof.QgOuterFockFL.qgOuterFriedN_quadForm_nonnegtheoremstimepiece
Prove the following Lean 4 theorem from ChapterQgOuterFockFarisLavine.
BookProof.QgOuterFockFL.qgOuterFriedN_quadForm_nonneg (x : qgOuterFriedDom) : 0 ≤ quadForm qgOuterFriedN x
Formalization note: Lean 4 identifier BookProof.QgOuterFockFL.qgOuterFriedN_quadForm_nonneg.
Preamble
-- Generated from ChapterQgOuterFockFarisLavine.lean — theorem BookProof.QgOuterFockFL.qgOuterFriedN_quadForm_nonneg
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterFriedrichsExtension
import Definitions.Def_ChapterComplexShiftCore
import Definitions.Def_ChapterQgHermiteOscillatorEsa
import Mathlib
import Definitions.Def_ChapterQgOuterFockFarisLavine
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterNavierStokesCanonicalVector
import Definitions.Def_ChapterQgOuterFockEsa
open BookProof.HermiteProductCore
open BookProof.NavierStokesFlow.CanonicalVector
open BookProof.QgOuterFock
open BookProof.QgOuterFockFL
open scoped ENNReal
open BookProof.FarisLavine
open BookProof.DirectSumEsa
open BookProof.QgOuterFock
open BookProof.YangMillsFriedrichs
open BookProof.FriedrichsExtension
open BookProof.FriedrichsExtension.FormDom
open BookProof.HashimotoShiftInvert
open BookProof.QgHermiteOscillator
open BookProof.HermiteProductCore
noncomputable section
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {ι : Type*} {G : ι → Type*} [∀ i, NormedAddCommGroup (G i)]
[∀ i, InnerProductSpace ℂ (G i)]
variable (C : ∀ i, Comparison (G i))
variable (H : ∀ i, (C i).dom →ₗ[ℂ] G i)
variable {C H}Formal statement
theorem BookProof.QgOuterFockFL.qgOuterFriedN_quadForm_nonneg (x : qgOuterFriedDom) : 0 ≤ quadForm qgOuterFriedN x := by sorry