`BookProof.NsBrstDerivativeGauge.nsGaugeConstraint2_comm` (j k : Fin 3) : nsGaugeConstraint2 j * nsGaugeConstraint2 k = nsGaugeConstraint2 k * nsGaugeConstraint2 j

Proved

BookProof.NsBrstDerivativeGauge.nsGaugeConstraint2_comm

by leonardopedro · Oct 21, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNsBrstDerivativeGauge.

BookProof.NsBrstDerivativeGauge.nsGaugeConstraint2_comm (j k : Fin 3) : nsGaugeConstraint2 j * nsGaugeConstraint2 k = nsGaugeConstraint2 k * nsGaugeConstraint2 j

Formalization note: Lean 4 identifier BookProof.NsBrstDerivativeGauge.nsGaugeConstraint2_comm.

Preamble

-- Generated from ChapterNsBrstDerivativeGauge.lean — theorem BookProof.NsBrstDerivativeGauge.nsGaugeConstraint2_comm
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterQuantumGravityBrstCharge
import Mathlib
import Definitions.Def_ChapterNsBrstDerivativeGauge
import Definitions.Def_ChapterNavierStokesGaugeY
import Definitions.Def_ChapterNavierStokesGaugeY2
open BookProof.NavierStokesGaugeY
open BookProof.NavierStokesGaugeY2
open BookProof.NsBrstDerivativeGauge



open MvPolynomial BookProof.BRSTNilpotent BookProof.QuantumGravityBrstCharge
open BookProof.NavierStokesGaugeY BookProof.NavierStokesGaugeY2

noncomputable section

Formal statement

theorem BookProof.NsBrstDerivativeGauge.nsGaugeConstraint2_comm (j k : Fin 3) :
    nsGaugeConstraint2 j * nsGaugeConstraint2 k
      = nsGaugeConstraint2 k * nsGaugeConstraint2 j := by sorry

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