`BookProof.ChapterA5.coeffBoostZ_anticomm` {j k : Fin 3} (h : j ≠ k) : coeffBoostZ j * coeffBoostZ k + coeffBoostZ k * coeffBoostZ j = 0

Proved

BookProof.ChapterA5.coeffBoostZ_anticomm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA5.

BookProof.ChapterA5.coeffBoostZ_anticomm {j k : Fin 3} (h : j ≠ k) : coeffBoostZ j * coeffBoostZ k + coeffBoostZ k * coeffBoostZ j = 0

Formalization note: Lean 4 identifier BookProof.ChapterA5.coeffBoostZ_anticomm.

Preamble

-- Generated from ChapterA5.lean — theorem BookProof.ChapterA5.coeffBoostZ_anticomm
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterA5
open BookProof.ChapterA5


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterA5.coeffBoostZ_anticomm {j k : Fin 3} (h : j ≠ k) :
    coeffBoostZ j * coeffBoostZ k + coeffBoostZ k * coeffBoostZ j = 0 := by sorry

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