The Lean 4 theorem `qgMom_symmetricOn` in the `ChapterQuantumGravity3DGauge` chapter of the timepiece formalization

-- Generated from ChapterQuantumGravity3DGauge.lean — theorem BookProof.QuantumGravity3DGauge.qgMom_symmetricOn
import Mathlib
import Definitions.Def_ChapterQuantumGravity3DGauge
open BookProof.QuantumGravity3DGauge



open MeasureTheory Complex MvPolynomial Filter Topology
open BookProof.HermiteProductCore BookProof.YangMillsHermite BookProof.YangMillsFriedrichs
open BookProof.FarisLavine BookProof.FriedrichsExtension BookProof.HermiteGalerkin
open BookProof.HashimotoShiftInvert BookProof.QuantumGravityDensitized

noncomputable section

variable {D : Submodule ℂ (L2d 84)}

theorem BookProof.QuantumGravity3DGauge.qgMom_symmetricOn (Φ : CoreRep 84 D) (j : Fin 84) :
    SymmetricOn D (D.subtype.comp (qgMom Φ j)) := by sorry