The Lean 4 theorem `derOp_comm` in the `ChapterQuantumGravity3DGauge` chapter of the timepiece formalization
ProvedBookProof.QuantumGravity3DGauge.derOp_commformalizationtimepiece
Formal statement of BookProof.QuantumGravity3DGauge.derOp_comm from the timepiece Lean 4 formalization.
Preamble
-- Generated from ChapterQuantumGravity3DGauge.lean — theorem BookProof.QuantumGravity3DGauge.derOp_comm
import Definitions.Def_ChapterHermiteProductCore
import Definitions.Def_ChapterYangMillsFriedrichs
import Definitions.Def_ChapterFarisLavine
import Definitions.Def_ChapterFriedrichsExtension
import Definitions.Def_ChapterHermiteGalerkinFriedrichs
import Definitions.Def_ChapterComplexShiftCore
import Definitions.Def_ChapterQuantumGravityDensitized
import Mathlib
import Definitions.Def_ChapterQuantumGravity3DGauge
import Definitions.Def_ChapterYangMillsHermite
open BookProof.YangMillsHermite
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 : ℕ}Formal statement
theorem BookProof.QuantumGravity3DGauge.derOp_comm (j k : Fin d) (p : MvPolynomial (Fin d) ℂ) :
derOp j (derOp k p) = derOp k (derOp j p) := by sorrySource