`BookProof.ChapterA3.mgamma_conjTranspose` (μ : Fin 4) : (mgamma μ)ᴴ = (if μ = 0 then (-1 : ℂ) else 1) • mgamma μ

Proved

BookProof.ChapterA3.mgamma_conjTranspose

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliCommutant.

BookProof.ChapterA3.mgamma_conjTranspose (μ : Fin 4) : (mgamma μ)ᴴ = (if μ = 0 then (-1 : ℂ) else 1) • mgamma μ

Formalization note: Lean 4 identifier BookProof.ChapterA3.mgamma_conjTranspose.

Preamble

-- Generated from ChapterPauliCommutant.lean — theorem BookProof.ChapterA3.mgamma_conjTranspose
import Mathlib
import Definitions.Def_ChapterPauliCommutant
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix

Formal statement

theorem BookProof.ChapterA3.mgamma_conjTranspose (μ : Fin 4) :
    (mgamma μ)ᴴ = (if μ = 0 then (-1 : ℂ) else 1) • mgamma μ := by sorry

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