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`BookProof.ChapterSuperBracket.commutator_jacobi` (a b c : R) : sbracket false false a (sbracket false false b c) + sbracket false false b (sbracket false false c a) + sbracket fal

Proved
BookProof.ChapterSuperBracket.commutator_jacobi

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSuperBracket.

BookProof.ChapterSuperBracket.commutator_jacobi (a b c : R) : sbracket false false a (sbracket false false b c) + sbracket false false b (sbracket false false c a) + sbracket false false c (sbracket false false a b) = 0

Formalization note: Lean 4 identifier BookProof.ChapterSuperBracket.commutator_jacobi.

Preamble
-- Generated from ChapterSuperBracket.lean — theorem BookProof.ChapterSuperBracket.commutator_jacobi
import Mathlib
import Definitions.Def_ChapterSuperBracket
import Definitions.Def_ChapterElectroweakFieldStrength
open BookProof.ChapterElectroweakFieldStrength
open BookProof.ChapterSuperBracket



variable {R : Type*} [Ring R]
Formal statement
theorem BookProof.ChapterSuperBracket.commutator_jacobi (a b c : R) :
    sbracket false false a (sbracket false false b c)
  + sbracket false false b (sbracket false false c a)
  + sbracket false false c (sbracket false false a b) = 0 := by sorry

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