`BookProof.SmBrstGhost.u1Struct_jacobi` (a b c h : Fin 1) : ∑ e, (u1Struct a b e * u1Struct e c h + u1Struct b c e * u1Struct e a h + u1Struct c a e * u1Struct e b h) = 0

Proved

BookProof.SmBrstGhost.u1Struct_jacobi

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmBrstGhost.

BookProof.SmBrstGhost.u1Struct_jacobi (a b c h : Fin 1) : ∑ e, (u1Struct a b e * u1Struct e c h + u1Struct b c e * u1Struct e a h + u1Struct c a e * u1Struct e b h) = 0

Formalization note: Lean 4 identifier BookProof.SmBrstGhost.u1Struct_jacobi.

Preamble

-- Generated from ChapterSmBrstGhost.lean — theorem BookProof.SmBrstGhost.u1Struct_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.u1Struct_jacobi (a b c h : Fin 1) :
    ∑ e, (u1Struct a b e * u1Struct e c h + u1Struct b c e * u1Struct e a h
      + u1Struct c a e * u1Struct e b h) = 0 := by sorry

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