`BookProof.ChapterMajoranaFourier.mgammaZ_transpose` (μ : Fin 4) : (mgammaZ μ)ᵀ = if μ = 0 then -mgammaZ μ else mgammaZ μ

Proved

BookProof.ChapterMajoranaFourier.mgammaZ_transpose

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterMajoranaFourier.

BookProof.ChapterMajoranaFourier.mgammaZ_transpose (μ : Fin 4) : (mgammaZ μ)ᵀ = if μ = 0 then -mgammaZ μ else mgammaZ μ

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

Preamble

-- Generated from ChapterMajoranaFourier.lean — theorem BookProof.ChapterMajoranaFourier.mgammaZ_transpose
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.mgammaZ_transpose (μ : Fin 4) :
    (mgammaZ μ)ᵀ = if μ = 0 then -mgammaZ μ else mgammaZ μ := by sorry

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