`BookProof.ChapterMajoranaFourier.dgamma_spatial_anticomm` (i j : Fin 3) (h : i ≠ j) : dgamma i.succ * dgamma j.succ = -(dgamma j.succ * dgamma i.succ)

Proved

BookProof.ChapterMajoranaFourier.dgamma_spatial_anticomm

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMajoranaFourier.

BookProof.ChapterMajoranaFourier.dgamma_spatial_anticomm (i j : Fin 3) (h : i ≠ j) : dgamma i.succ * dgamma j.succ = -(dgamma j.succ * dgamma i.succ)

Formalization note: Lean 4 identifier BookProof.ChapterMajoranaFourier.dgamma_spatial_anticomm.

Preamble

-- Generated from ChapterMajoranaFourier.lean — theorem BookProof.ChapterMajoranaFourier.dgamma_spatial_anticomm
import Mathlib
import Definitions.Def_ChapterMajoranaFourier
import Definitions.Def_ChapterA3
open BookProof.ChapterA3
open BookProof.ChapterMajoranaFourier


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterMajoranaFourier.dgamma_spatial_anticomm (i j : Fin 3) (h : i ≠ j) :
    dgamma i.succ * dgamma j.succ = -(dgamma j.succ * dgamma i.succ) := by sorry

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