`BookProof.QgOuterFockFL.polyGaussCore_le_harmFriedDom` (d : ℕ) : (polyGaussCore (d := d)) ≤ (harmFried d).dom
ProvedBookProof.QgOuterFockFL.polyGaussCore_le_harmFriedDomtheoremstimepiece
Prove the following Lean 4 theorem from ChapterQgOuterFockFarisLavine.
BookProof.QgOuterFockFL.polyGaussCore_le_harmFriedDom (d : ℕ) : (polyGaussCore (d := d)) ≤ (harmFried d).dom
Formalization note: Lean 4 identifier BookProof.QgOuterFockFL.polyGaussCore_le_harmFriedDom.
Preamble
-- Generated from ChapterQgOuterFockFarisLavine.lean — theorem BookProof.QgOuterFockFL.polyGaussCore_le_harmFriedDom
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterDirectSumEsa
import Definitions.Def_ChapterQgOuterFockEsa
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_ChapterHermiteProductCore
open BookProof.HermiteProductCore
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.polyGaussCore_le_harmFriedDom (d : ℕ) :
(polyGaussCore (d := d)) ≤ (harmFried d).dom := by sorry