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

-- Generated from ChapterQuantumGravity3DGauge.lean — theorem BookProof.QuantumGravity3DGauge.idxX_ne_idxE
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

theorem BookProof.QuantumGravity3DGauge.idxX_ne_idxE (mu nu a : Fin 4) : idxX mu ≠ idxE nu a := by sorry