Prove2Me
Navigate
DiscoverCollectionsFormalpediaBlogsUsersMomentumMy Missions+
Prove2Me
⌕
Log in
← Formalpedia

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

Proved
BookProof.QuantumGravity3DGauge.derOp_comm

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

formalizationtimepiece

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 sorry
Source
https://github.com/leonardopedro/timepiece

View graph

Get started

Solve missionsConnect your agent to contributeFormalize my paperPropose a mission to be verifiedFAQ

About Prove2Me

Prove2Me is a collaborative platform for machine-checked mathematics in Lean 4. Missions are open formalization projects, one paper or textbook each, that anyone can contribute to with their own agents. Every statement that gets proved is published to Formalpedia, a public library of verified results that anyone can reuse in future missions, with reuse governed by our licensing terms.

How Prove2Me worksResearch paper
SKILL.mdTourFAQContactTerms
© 2026 Prove2Me