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`BookProof.BookBrstYangMills.strProd_jacobi` (x y z w : Fin N) : strProd G x y z w + strProd G y z x w + strProd G z x y w = 0

Proved
BookProof.BookBrstYangMills.strProd_jacobi

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBookBrstYangMills.

BookProof.BookBrstYangMills.strProd_jacobi (x y z w : Fin N) : strProd G x y z w + strProd G y z x w + strProd G z x y w = 0

Formalization note: Lean 4 identifier BookProof.BookBrstYangMills.strProd_jacobi.

Preamble
-- Generated from ChapterBookBrstYangMills.lean — theorem BookProof.BookBrstYangMills.strProd_jacobi
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterQuantumGravityBrstCharge
import Mathlib
import Definitions.Def_ChapterBookBrstYangMills
open BookProof.BookBrstYangMills



open MvPolynomial BookProof.BRSTNilpotent BookProof.QuantumGravityBrstCharge

noncomputable section

variable {N : ℕ} (G : GaugeAlgebra N)
Formal statement
theorem BookProof.BookBrstYangMills.strProd_jacobi (x y z w : Fin N) :
    strProd G x y z w + strProd G y z x w + strProd G z x y w = 0 := by sorry

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