`BookProof.SmBrstGhost.su2Struct_jacobi` (a b c h : Fin 3) : ∑ e, (su2Struct a b e * su2Struct e c h + su2Struct b c e * su2Struct e a h + su2Struct c a e * su2Struct e b h) = 0

Proved

BookProof.SmBrstGhost.su2Struct_jacobi

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmBrstGhost.

BookProof.SmBrstGhost.su2Struct_jacobi (a b c h : Fin 3) : ∑ e, (su2Struct a b e * su2Struct e c h + su2Struct b c e * su2Struct e a h + su2Struct c a e * su2Struct e b h) = 0

Formalization note: Lean 4 identifier BookProof.SmBrstGhost.su2Struct_jacobi.

Preamble

-- Generated from ChapterSmBrstGhost.lean — theorem BookProof.SmBrstGhost.su2Struct_jacobi
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterYangMillsSU3
import Mathlib
import Definitions.Def_ChapterSmBrstGhost
open BookProof.SmBrstGhost



open BookProof.SmCar BookProof.BRSTNilpotent BookProof.YangMillsSU3

noncomputable section

Formal statement

theorem BookProof.SmBrstGhost.su2Struct_jacobi (a b c h : Fin 3) :
    ∑ e, (su2Struct a b e * su2Struct e c h + su2Struct b c e * su2Struct e a h
      + su2Struct c a e * su2Struct e b h) = 0 := by sorry

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