`BookProof.ChapterA3.mgamma_commutant_scalar` (M : Matrix (Fin 4) (Fin 4) ℂ) (h : ∀ μ, M * mgamma μ = mgamma μ * M) : M = M 0 0 • (1 : Matrix (Fin 4) (Fin 4) ℂ)

Proved

BookProof.ChapterA3.mgamma_commutant_scalar

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliCommutant.

BookProof.ChapterA3.mgamma_commutant_scalar (M : Matrix (Fin 4) (Fin 4) ℂ) (h : ∀ μ, M * mgamma μ = mgamma μ * M) : M = M 0 0 • (1 : Matrix (Fin 4) (Fin 4) ℂ)

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

Preamble

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


open Matrix

Formal statement

theorem BookProof.ChapterA3.mgamma_commutant_scalar (M : Matrix (Fin 4) (Fin 4) ℂ)
    (h : ∀ μ, M * mgamma μ = mgamma μ * M) :
    M = M 0 0 • (1 : Matrix (Fin 4) (Fin 4) ℂ) := by sorry

View graph