Prove2Me

`BookProof.NsBrstDerivativeGauge.nsDerivBrstCharge2_hamiltonian2_comm` (nu : ℂ) : nsDerivBrstCharge2 * nsHamiltonian2 nu = nsHamiltonian2 nu * nsDerivBrstCharge2

Proved
BookProof.NsBrstDerivativeGauge.nsDerivBrstCharge2_hamiltonian2_comm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNsBrstDerivativeGauge.

BookProof.NsBrstDerivativeGauge.nsDerivBrstCharge2_hamiltonian2_comm (nu : ℂ) : nsDerivBrstCharge2 * nsHamiltonian2 nu = nsHamiltonian2 nu * nsDerivBrstCharge2

Formalization note: Lean 4 identifier BookProof.NsBrstDerivativeGauge.nsDerivBrstCharge2_hamiltonian2_comm.

Preamble
-- Generated from ChapterNsBrstDerivativeGauge.lean — theorem BookProof.NsBrstDerivativeGauge.nsDerivBrstCharge2_hamiltonian2_comm
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterQuantumGravityBrstCharge
import Definitions.Def_ChapterNavierStokesGaugeY2
import Mathlib
import Definitions.Def_ChapterNsBrstDerivativeGauge
import Definitions.Def_ChapterNavierStokesGaugeY
open BookProof.NavierStokesGaugeY
open BookProof.NsBrstDerivativeGauge



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

noncomputable section
Formal statement
theorem BookProof.NsBrstDerivativeGauge.nsDerivBrstCharge2_hamiltonian2_comm (nu : ℂ) :
    nsDerivBrstCharge2 * nsHamiltonian2 nu = nsHamiltonian2 nu * nsDerivBrstCharge2 := by sorry

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