`BookProof.BookBrstYangMills.strProd_swap12` (p q r s : Fin N) : strProd G p q r s = -strProd G q p r s

Proved

BookProof.BookBrstYangMills.strProd_swap12

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterBookBrstYangMills.

BookProof.BookBrstYangMills.strProd_swap12 (p q r s : Fin N) : strProd G p q r s = -strProd G q p r s

Formalization note: Lean 4 identifier BookProof.BookBrstYangMills.strProd_swap12.

Preamble

-- Generated from ChapterBookBrstYangMills.lean — theorem BookProof.BookBrstYangMills.strProd_swap12
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_swap12 (p q r s : Fin N) : strProd G p q r s = -strProd G q p r s := by sorry

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