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

-- Generated from ChapterQuantumGravity3DGauge.lean — theorem BookProof.QuantumGravity3DGauge.qgCCR
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.qgCCR (Φ : CoreRep 84 D) (j k : Fin 84) (x : D) :
    qgCoord Φ j (qgMom Φ k x) - qgMom Φ k (qgCoord Φ j x)
      = (if j = k then Complex.I else 0) • x := by sorry