`BookProof.FreeFieldConstraint.bracket_jacobi` (a b c : R) : bracket (bracket a b) c + bracket (bracket b c) a + bracket (bracket c a) b = 0

Proved

BookProof.FreeFieldConstraint.bracket_jacobi

by leonardopedro · Oct 5, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterFreeFieldConstraint.

BookProof.FreeFieldConstraint.bracket_jacobi (a b c : R) : bracket (bracket a b) c + bracket (bracket b c) a + bracket (bracket c a) b = 0

Formalization note: Lean 4 identifier BookProof.FreeFieldConstraint.bracket_jacobi.

Preamble

-- Generated from ChapterFreeFieldConstraint.lean — theorem BookProof.FreeFieldConstraint.bracket_jacobi
import Mathlib
import Definitions.Def_ChapterFreeFieldConstraint
open BookProof.FreeFieldConstraint

variable {R : Type*} [Ring R]

Formal statement

theorem BookProof.FreeFieldConstraint.bracket_jacobi (a b c : R) :
    bracket (bracket a b) c + bracket (bracket b c) a + bracket (bracket c a) b = 0 := by sorry

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